# 1 "../../../test/concepts/core/swappable.cpp"
# 1 "/data/build/gcc-sutton/debug//"
# 1 "<built-in>"
# 1 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 1 "<command-line>" 2
# 1 "../../../test/concepts/core/swappable.cpp"
# 11 "../../../test/concepts/core/swappable.cpp"
# 1 "../../../include/cjdb/detail/concepts/core/swappable.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/swappable.hpp"
# 1 "../../../include/cjdb/detail/concepts/core/assignable.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/assignable.hpp"
# 1 "../../../include/cjdb/detail/concepts/core/commonreference.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/commonreference.hpp"
# 1 "../../../include/cjdb/detail/concepts/core/convertibleto.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/convertibleto.hpp"
# 1 "../../../include/cjdb/detail/type_traits/type_traits.hpp" 1
# 19 "../../../include/cjdb/detail/type_traits/type_traits.hpp"
# 1 "../../../include/cjdb/detail/type_traits/expose_type.hpp" 1
# 19 "../../../include/cjdb/detail/type_traits/expose_type.hpp"
namespace cjdb {
   template <typename T>
   requires requires { typename T::type; }
   using _t = typename T::type;
}
# 20 "../../../include/cjdb/detail/type_traits/type_traits.hpp" 2
# 1 "/opt/sutton/include/c++/9.0.0/type_traits" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/type_traits" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/type_traits" 3





# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 1 3
# 244 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 3

# 244 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}
# 266 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 516 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/os_defines.h" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/os_defines.h" 3
# 1 "/usr/include/features.h" 1 3 4
# 424 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
# 427 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 428 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 429 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 425 "/usr/include/features.h" 2 3 4
# 448 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
# 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
# 449 "/usr/include/features.h" 2 3 4
# 40 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/os_defines.h" 2 3
# 517 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 2 3


# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/cpu_defines.h" 1 3
# 520 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++config.h" 2 3
# 39 "/opt/sutton/include/c++/9.0.0/type_traits" 2 3

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

# 56 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  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() const noexcept { return value; }




      constexpr value_type operator()() const noexcept { return value; }

    };

  template<typename _Tp, _Tp __v>
    constexpr _Tp integral_constant<_Tp, __v>::value;


  typedef integral_constant<bool, true> true_type;


  typedef integral_constant<bool, false> false_type;

  template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;



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




  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 __bool_constant<!bool(_Pp::value)>
    { };



  template<typename... _Bn>
    inline constexpr bool __or_v = __or_<_Bn...>::value;
  template<typename... _Bn>
    inline constexpr bool __and_v = __and_<_Bn...>::value;



  template<typename... _Bn>
    struct conjunction
    : __and_<_Bn...>
    { };

  template<typename... _Bn>
    struct disjunction
    : __or_<_Bn...>
    { };

  template<typename _Pp>
    struct negation
    : __not_<_Pp>
    { };

  template<typename... _Bn>
    inline constexpr bool conjunction_v = conjunction<_Bn...>::value;

  template<typename... _Bn>
    inline constexpr bool disjunction_v = disjunction<_Bn...>::value;

  template<typename _Pp>
    inline constexpr bool negation_v = negation<_Pp>::value;
# 185 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

  struct __failure_type
  { };



  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 __is_void_helper<typename remove_cv<_Tp>::type>::type
    { };

  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 { };
# 317 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<typename remove_cv<_Tp>::type>::type
    { };

  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 { };
# 345 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type
    { };


  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 __is_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };


  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 __not_<is_function<_Tp>>::type { };


  template<typename _Tp>
    struct is_member_object_pointer
    : public __is_member_object_pointer_helper<
    typename remove_cv<_Tp>::type>::type
    { };

  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 is_function<_Tp>::type { };


  template<typename _Tp>
    struct is_member_function_pointer
    : public __is_member_function_pointer_helper<
    typename remove_cv<_Tp>::type>::type
    { };


  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 , bool _NE>
    struct is_function<_Res(_ArgTypes...) noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) volatile noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) volatile & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) volatile && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) volatile noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) volatile & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) volatile && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const volatile noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const volatile & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes...) const volatile && noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const volatile noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const volatile & noexcept (_NE)>
    : public true_type { };

  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct is_function<_Res(_ArgTypes......) const volatile && noexcept (_NE)>
    : public true_type { };



  template<typename>
    struct __is_null_pointer_helper
    : public false_type { };

  template<>
    struct __is_null_pointer_helper<std::nullptr_t>
    : public true_type { };


  template<typename _Tp>
    struct is_null_pointer
    : public __is_null_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };


  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { };




  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>,
     is_null_pointer<_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_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_compound
    : public __not_<is_fundamental<_Tp>>::type { };

  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 __is_member_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };



  template<typename _Tp>
    struct __is_referenceable
    : public __or_<is_object<_Tp>, is_reference<_Tp>>::type
    { };

  template<typename _Res, typename... _Args , bool _NE>
    struct __is_referenceable<_Res(_Args...) noexcept (_NE)>
    : public true_type
    { };

  template<typename _Res, typename... _Args , bool _NE>
    struct __is_referenceable<_Res(_Args......) noexcept (_NE)>
    : public true_type
    { };




  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_trivially_copyable
    : public integral_constant<bool, __is_trivially_copyable(_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_final
    : public integral_constant<bool, __is_final(_Tp)>
    { };



  template<typename _Tp>
    struct is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)>
    { };

  template<typename _Tp,
    bool = is_arithmetic<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_signed_helper<_Tp, true>
    : public integral_constant<bool, _Tp(-1) < _Tp(0)>
    { };


  template<typename _Tp>
    struct is_signed
    : public __is_signed_helper<_Tp>::type
    { };


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };
# 752 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template<typename _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

  template<typename _Tp>
    _Tp
    __declval(long);

  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0));

  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>>>
    { };






  struct __do_is_destructible_impl
  {
    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
    : public __do_is_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_destructible_safe;

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public __is_destructible_impl<typename
               remove_all_extents<_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 __is_destructible_safe<_Tp>::type
    { };





  struct __do_is_nt_destructible_impl
  {
    template<typename _Tp>
      static __bool_constant<noexcept(declval<_Tp&>().~_Tp())>
      __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_nt_destructible_impl
    : public __do_is_nt_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_nt_destructible_safe;

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, false>
    : public __is_nt_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, true>
    : public true_type { };


  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    { };

  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>>
    { };

  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>>
    { };

  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 __is_default_constructible_safe<_Tp>::type
    { };


  template<typename _Tp, typename... _Args>
    struct is_constructible
      : public __bool_constant<__is_constructible(_Tp, _Args...)>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_constructible_impl;

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, true>
    : public is_constructible<_Tp, const _Tp&>
    { };


  template<typename _Tp>
    struct is_copy_constructible
    : public __is_copy_constructible_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_constructible_impl;

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, true>
    : 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>>
    { };

  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>>
    { };

  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...>>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_copy_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : 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_referenceable<_Tp>::value>
    struct __is_nothrow_move_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : 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>
    struct is_assignable
      : public __bool_constant<__is_assignable(_Tp, _Up)>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_assignable_impl;

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, true>
    : public is_assignable<_Tp&, const _Tp&>
    { };


  template<typename _Tp>
    struct is_copy_assignable
    : public __is_copy_assignable_impl<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_assignable_impl;

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, true>
    : 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>>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_copy_assignable_impl;

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, true>
    : 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_referenceable<_Tp>::value>
    struct __is_nt_move_assignable_impl;

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, true>
    : public is_nothrow_assignable<_Tp&, _Tp&&>
    { };


  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nt_move_assignable_impl<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __bool_constant<__is_trivially_constructible(_Tp, _Args...)>
    { };


  template<typename _Tp>
    struct is_trivially_default_constructible
    : public is_trivially_constructible<_Tp>::type
    { };

  struct __do_is_implicitly_default_constructible_impl
  {
    template <typename _Tp>
    static void __helper(const _Tp&);

    template <typename _Tp>
    static true_type __test(const _Tp&,
                            decltype(__helper<const _Tp&>({}))* = 0);

    static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_impl
    : public __do_is_implicitly_default_constructible_impl
    {
      typedef decltype(__test(declval<_Tp>())) type;
    };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_safe
    : public __is_implicitly_default_constructible_impl<_Tp>::type
    { };

  template <typename _Tp>
    struct __is_implicitly_default_constructible
    : public __and_<is_default_constructible<_Tp>,
      __is_implicitly_default_constructible_safe<_Tp>>
    { };



  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_constructible_impl;

  template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, true>
    : public __and_<is_copy_constructible<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, const _Tp&)>>
    { };

  template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __is_trivially_copy_constructible_impl<_Tp>
    { };



  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_constructible_impl;

  template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, true>
    : public __and_<is_move_constructible<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, _Tp&&)>>
    { };

  template<typename _Tp>
    struct is_trivially_move_constructible
    : public __is_trivially_move_constructible_impl<_Tp>
    { };


  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __bool_constant<__is_trivially_assignable(_Tp, _Up)>
    { };



  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_assignable_impl;

  template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, true>
    : public __bool_constant<__is_trivially_assignable(_Tp&, const _Tp&)>
    { };

  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __is_trivially_copy_assignable_impl<_Tp>
    { };



  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_assignable_impl;

  template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, true>
    : public __bool_constant<__is_trivially_assignable(_Tp&, _Tp&&)>
    { };

  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __is_trivially_move_assignable_impl<_Tp>
    { };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<is_destructible<_Tp>,
      __bool_constant<__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
    {
      typedef typename is_void<_To>::type type;

      typedef type __is_nothrow_type;

    };

  template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    {
      template<typename _To1>
 static void __test_aux(_To1) noexcept;

      template<typename _From1, typename _To1,
        typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
 static true_type
 __test(int);

      template<typename, typename>
 static false_type
 __test(...);


      template<typename _From1, typename _To1,
        bool _NoEx = noexcept(__test_aux<_To1>(std::declval<_From1>()))>
 static __bool_constant<_NoEx>
 __test_nothrow(int);

      template<typename, typename>
 static false_type
 __test_nothrow(...);


    public:
      typedef decltype(__test<_From, _To>(0)) type;


      typedef decltype(__test_nothrow<_From, _To>(0)) __is_nothrow_type;

    };



  template<typename _From, typename _To>
    struct is_convertible
    : public __is_convertible_helper<_From, _To>::type
    { };



  template<typename _From, typename _To>
    struct is_nothrow_convertible
    : public __is_convertible_helper<_From, _To>::__is_nothrow_type
    { };


  template<typename _From, typename _To>
    inline constexpr bool is_nothrow_convertible_v
      = is_nothrow_convertible<_From, _To>::value;





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


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


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


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


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


  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::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 = __is_referenceable<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, true>
    { typedef _Tp& type; };


  template<typename _Tp>
    struct add_lvalue_reference
    : public __add_lvalue_reference_helper<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_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 _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;


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


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





  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; };
# 1622 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  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>
    {
      using __unsigned_type
 = typename __make_unsigned<typename remove_cv<_Tp>::type>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };

  class __make_unsigned_selector_base
  {
  protected:
    template<typename...> struct _List { };

    template<typename _Tp, typename... _Up>
      struct _List<_Tp, _Up...> : _List<_Up...>
      { static constexpr size_t __size = sizeof(_Tp); };

    template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
      struct __select;

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, true>
      { using __type = _Uint; };

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, false>
      : __select<_Sz, _List<_UInts...>>
      { };
  };


  template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    : __make_unsigned_selector_base
    {

      using _UInts = _List<unsigned char, unsigned short, unsigned int,
      unsigned long, unsigned long long>;

      using __unsigned_type = typename __select<sizeof(_Tp), _UInts>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };






  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };


  template<>
    struct __make_unsigned<char16_t>
    {
      using __type
 = typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_unsigned<char32_t>
    {
      using __type
 = typename __make_unsigned_selector<char32_t, false, true>::__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; };
# 1767 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  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>
    {
      using __signed_type
 = typename __make_signed<typename remove_cv<_Tp>::type>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __signed_type>::__type;
    };


  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type;

    public:
      typedef typename __make_signed_selector<__unsigned_type>::__type __type;
    };






  template<>
    struct __make_signed<wchar_t>
    {
      using __type
 = typename __make_signed_selector<wchar_t, false, true>::__type;
    };


  template<>
    struct __make_signed<char16_t>
    {
      using __type
 = typename __make_signed_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_signed<char32_t>
    {
      using __type
 = typename __make_signed_selector<char32_t, false, true>::__type;
    };





  template<typename _Tp>
    struct make_signed
    { typedef typename __make_signed_selector<_Tp>::__type type; };


  template<>
    struct make_signed<bool>;



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


  template<typename _Tp>
    using make_unsigned_t = typename make_unsigned<_Tp>::type;





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


  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::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, bool = __or_<__is_referenceable<_Tp>,
          is_void<_Tp>>::value>
    struct __add_pointer_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_pointer_helper<_Tp, true>
    { typedef typename remove_reference<_Tp>::type* type; };

  template<typename _Tp>
    struct add_pointer
    : public __add_pointer_helper<_Tp>
    { };



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


  template<typename _Tp>
    using add_pointer_t = typename add_pointer<_Tp>::type;


  template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__)) { } __align;
      };
    };
# 1941 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  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... _Types>
    struct __strictest_alignment
    {
      static const size_t _S_alignment = 0;
      static const size_t _S_size = 0;
    };

  template <typename _Tp, typename... _Types>
    struct __strictest_alignment<_Tp, _Types...>
    {
      static const size_t _S_alignment =
        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
 ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
      static const size_t _S_size =
        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
 ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
    };
# 1980 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template <size_t _Len, typename... _Types>
    struct aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

      using __strictest = __strictest_alignment<_Types...>;
      static const size_t _S_len = _Len > __strictest::_S_size
 ? _Len : __strictest::_S_size;
    public:

      static const size_t alignment_value = __strictest::_S_alignment;

      typedef typename aligned_storage<_S_len, alignment_value>::type type;
    };

  template <size_t _Len, typename... _Types>
    const size_t aligned_union<_Len, _Types...>::alignment_value;



  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 __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<typename... _Cond>
    using _Require = typename enable_if<__and_<_Cond...>::value>::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;



  struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      static __success_type<typename decay<decltype
       (true ? std::declval<_Tp>()
        : std::declval<_Up>())>::type> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _Tp, typename _Up>
    struct __common_type_impl
    : private __do_common_type_impl
    {
      typedef decltype(_S_test<_Tp, _Up>(0)) type;
    };

  struct __do_member_type_wrapper
  {
    template<typename _Tp>
      static __success_type<typename _Tp::type> _S_test(int);

    template<typename>
      static __failure_type _S_test(...);
  };

  template<typename _Tp>
    struct __member_type_wrapper
    : private __do_member_type_wrapper
    {
      typedef decltype(_S_test<_Tp>(0)) type;
    };

  template<typename _CTp, typename... _Args>
    struct __expanded_common_type_wrapper
    {
      typedef common_type<typename _CTp::type, _Args...> type;
    };

  template<typename... _Args>
    struct __expanded_common_type_wrapper<__failure_type, _Args...>
    { typedef __failure_type type; };

  template<typename _Tp>
    struct common_type<_Tp>
    { typedef typename decay<_Tp>::type type; };

  template<typename _Tp, typename _Up>
    struct common_type<_Tp, _Up>
    : public __common_type_impl<_Tp, _Up>::type
    { };

  template<typename _Tp, typename _Up, typename... _Vp>
    struct common_type<_Tp, _Up, _Vp...>
    : public __expanded_common_type_wrapper<typename __member_type_wrapper<
               common_type<_Tp, _Up>>::type, _Vp...>::type
    { };


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

  template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
    };

  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0))
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval<_Tp>(0);
    }


  template<typename _Tp>
    using __remove_cvref_t
     = typename remove_cv<typename remove_reference<_Tp>::type>::type;


  template<typename _Signature>
    class result_of;





  struct __invoke_memfun_ref { };
  struct __invoke_memfun_deref { };
  struct __invoke_memobj_ref { };
  struct __invoke_memobj_deref { };
  struct __invoke_other { };


  template<typename _Tp, typename _Tag>
    struct __result_of_success : __success_type<_Tp>
    { using __invoke_type = _Tag; };


  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_ref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_ref
    : private __result_of_memfun_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memfun_deref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_deref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_deref
    : private __result_of_memfun_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memobj_ref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      ), __invoke_memobj_ref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_ref
    : private __result_of_memobj_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };


  struct __result_of_memobj_deref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      ), __invoke_memobj_deref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_deref
    : private __result_of_memobj_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef __remove_cvref_t<_Arg> _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memobj_ref<_MemPtr, _Arg>,
        __result_of_memobj_deref<_MemPtr, _Arg>
      >::type::type type;
    };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun;

  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
      typedef __remove_cvref_t<_Arg> _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type::type type;
    };






  template<typename _Tp, typename _Up = typename decay<_Tp>::type>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

  template<typename _Tp, typename _Up>
    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
    {
      using type = _Up&;
    };

  template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct __result_of_impl
    {
      typedef __failure_type type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_impl<true, false, _MemPtr, _Arg>
    : public __result_of_memobj<typename decay<_MemPtr>::type,
    typename __inv_unwrap<_Arg>::type>
    { };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
    : public __result_of_memfun<typename decay<_MemPtr>::type,
    typename __inv_unwrap<_Arg>::type, _Args...>
    { };


  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __result_of_success<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      ), __invoke_other> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _Functor, typename... _ArgTypes>
    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
    : private __result_of_other_impl
    {
      typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type;
    };


  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __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
    { };

  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { };



  template<size_t _Len, size_t _Align =
     __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;

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


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


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


  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;


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


  template<typename _Tp>
    using underlying_type_t = typename underlying_type<_Tp>::type;


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



  template<bool _Cond, typename _Tp = void>
    using __enable_if_t = typename enable_if<_Cond, _Tp>::type;


  template<typename...> using __void_t = void;




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



  template<typename _Default, typename _AlwaysVoid,
    template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using value_t = false_type;
      using type = _Default;
    };


  template<typename _Default, template<typename...> class _Op,
     typename... _Args>
    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
    {
      using value_t = true_type;
      using type = _Op<_Args...>;
    };


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or = __detector<_Default, void, _Op, _Args...>;


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;
# 2459 "/opt/sutton/include/c++/9.0.0/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename... _Elements>
    class tuple;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };

  template<typename... _Tps>
    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
    { };


  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<__remove_cvref_t<_Tp>>::type
    { };

  template<typename _Tp>
    inline
    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type
    swap(_Tp&, _Tp&)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value);

  template<typename _Tp, size_t _Nm>
    inline
    typename enable_if<__is_swappable<_Tp>::value>::type
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value);

  namespace __swappable_details {
    using std::swap;

    struct __do_is_swappable_impl
    {
      template<typename _Tp, typename
               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
        static true_type __test(int);

      template<typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_impl
    {
      template<typename _Tp>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
        > __test(int);

      template<typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp>
    struct __is_swappable_impl
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_nothrow_swappable_impl
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

  template<typename _Tp>
    struct __is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };






  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };


  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };



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


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


  namespace __swappable_with_details {
    using std::swap;

    struct __do_is_swappable_with_impl
    {
      template<typename _Tp, typename _Up, typename
               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
               typename
               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
        static true_type __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_with_impl
    {
      template<typename _Tp, typename _Up>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
          &&
          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
        > __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp, typename _Up>
    struct __is_swappable_with_impl
    : public __swappable_with_details::__do_is_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };

  template<typename _Tp, typename _Up>
    struct __is_nothrow_swappable_with_impl
    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };


  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    { };


  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    { };



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


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






  template<typename _Result, typename _Ret, typename = void>
    struct __is_invocable_impl : false_type { };

  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret, __void_t<typename _Result::type>>
    : __or_<is_void<_Ret>, is_convertible<typename _Result::type, _Ret>>::type
    { };

  template<typename _Fn, typename... _ArgTypes>
    struct __is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_deref)
    {
      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_deref)
    {
      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
    }

  template<typename _Fn, typename... _Args>
    constexpr bool __call_is_nt(__invoke_other)
    {
      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
    }

  template<typename _Result, typename _Fn, typename... _Args>
    struct __call_is_nothrow
    : __bool_constant<
 std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
      >
    { };

  template<typename _Fn, typename... _Args>
    using __call_is_nothrow_
      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;


  template<typename _Fn, typename... _Args>
    struct __is_nothrow_invocable
    : __and_<__is_invocable<_Fn, _Args...>,
             __call_is_nothrow_<_Fn, _Args...>>::type
    { };

  struct __nonesuch {
    __nonesuch() = delete;
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };





  template<typename _Functor, typename... _ArgTypes>
    struct invoke_result
    : public __invoke_result<_Functor, _ArgTypes...>
    { };


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


  template<typename _Fn, typename... _ArgTypes>
    struct is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };


  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_invocable_r
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
    { };


  template<typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable
    : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    { };

  template<typename _Result, typename _Ret, typename = void>
    struct __is_nt_invocable_impl : false_type { };

  template<typename _Result, typename _Ret>
    struct __is_nt_invocable_impl<_Result, _Ret,
      __void_t<typename _Result::type>>
    : __or_<is_void<_Ret>,
     __and_<is_convertible<typename _Result::type, _Ret>,
     is_nothrow_constructible<_Ret, typename _Result::type>>>
    { };


  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    { };


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


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


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


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




template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_array_v = is_array<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v =
    is_lvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v =
    is_rvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    is_member_object_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    is_member_function_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_enum_v = is_enum<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_union_v = is_union<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_class_v = is_class<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_function_v = is_function<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_reference_v = is_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_object_v = is_object<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_const_v = is_const<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_volatile_v = is_volatile<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivial_v = is_trivial<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v =
    is_trivially_copyable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pod_v = is_pod<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_empty_v = is_empty<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_abstract_v = is_abstract<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_final_v = is_final<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v =
    is_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_default_constructible_v =
    is_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v =
    is_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_constructible_v =
    is_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v =
    is_trivially_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v =
    is_trivially_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v =
    is_trivially_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v =
    is_trivially_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v =
    is_trivially_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v =
    is_trivially_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v =
    is_trivially_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v =
    is_nothrow_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v =
    is_nothrow_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v =
    is_nothrow_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v =
    is_nothrow_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v =
    is_nothrow_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v =
    is_nothrow_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v =
    is_nothrow_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v =
    has_virtual_destructor<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t rank_v = rank<_Tp>::value;
template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = extent<_Tp, _Idx>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_same_v = is_same<_Tp, _Up>::value;
template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value;
template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;




  template<typename _Tp>
    struct has_unique_object_representations
    : bool_constant<__has_unique_object_representations(
      remove_cv_t<remove_all_extents_t<_Tp>>
      )>
    { };

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





  template<typename _Tp>
    struct is_aggregate
    : bool_constant<__is_aggregate(remove_cv_t<_Tp>)> { };


  template<typename _Tp>
    inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value;





  enum class endian
  {
    little = 1234,
    big = 4321,
    native = 1234
  };


  template<typename _Tp>
    struct remove_cvref
    {
      using type = __remove_cvref_t<_Tp>;
    };

  template<typename _Tp>
    using remove_cvref_t = __remove_cvref_t<_Tp>;


  template<typename _Tp>
    struct type_identity { using type = _Tp; };

  template<typename _Tp>
    using type_identity_t = typename type_identity<_Tp>::type;


  template<typename _Tp>
    struct unwrap_reference { using type = _Tp; };

  template<typename _Tp>
    struct unwrap_reference<reference_wrapper<_Tp>> { using type = _Tp&; };


  template<typename _Tp>
    struct unwrap_ref_decay : unwrap_reference<decay_t<_Tp>> { };

  template<typename _Tp>
    using unwrap_ref_decay_t = typename unwrap_ref_decay<_Tp>::type;


  constexpr inline bool
  is_constant_evaluated() noexcept
  { return __builtin_is_constant_evaluated(); }





}
# 21 "../../../include/cjdb/detail/type_traits/type_traits.hpp" 2
# 1 "/opt/sutton/include/c++/9.0.0/utility" 1 3
# 58 "/opt/sutton/include/c++/9.0.0/utility" 3
       
# 59 "/opt/sutton/include/c++/9.0.0/utility" 3
# 69 "/opt/sutton/include/c++/9.0.0/utility" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 1 3
# 67 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  namespace rel_ops
  {
# 85 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator!=(const _Tp& __x, const _Tp& __y)
      { return !(__x == __y); }
# 98 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>(const _Tp& __x, const _Tp& __y)
      { return __y < __x; }
# 111 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator<=(const _Tp& __x, const _Tp& __y)
      { return !(__y < __x); }
# 124 "/opt/sutton/include/c++/9.0.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>=(const _Tp& __x, const _Tp& __y)
      { return !(__x < __y); }
  }


}
# 70 "/opt/sutton/include/c++/9.0.0/utility" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 1 3
# 59 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/move.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/move.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/concept_check.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/concept_check.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/concept_check.h" 3
# 35 "/opt/sutton/include/c++/9.0.0/bits/move.h" 2 3

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







  template<typename _Tp>
    inline constexpr _Tp*
    __addressof(_Tp& __r) noexcept
    { return __builtin_addressof(__r); }




}



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

# 72 "/opt/sutton/include/c++/9.0.0/bits/move.h" 3
  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 { };
# 116 "/opt/sutton/include/c++/9.0.0/bits/move.h" 3
  template<typename _Tp>
    constexpr typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 136 "/opt/sutton/include/c++/9.0.0/bits/move.h" 3
  template<typename _Tp>
    inline constexpr _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



  template<typename _Tp>
    const _Tp* addressof(const _Tp&&) = delete;


  template <typename _Tp, typename _Up = _Tp>
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 176 "/opt/sutton/include/c++/9.0.0/bits/move.h" 3
  template<typename _Tp>
    inline

    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type
    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

    typename enable_if<__is_swappable<_Tp>::value>::type
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value)




    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }



}
# 60 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 2 3





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

# 76 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  inline constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();


  template<typename...>
    class tuple;

  template<std::size_t...>
    struct _Index_tuple;






  template <bool, typename _T1, typename _T2>
    struct _PCC
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, const _U2&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return __and_<is_convertible<const _U1&, _T1>,
        is_convertible<const _U2&, _T2>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, _U2&&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return __and_<is_convertible<_U1&&, _T1>,
        is_convertible<_U2&&, _T2>>::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _CopyMovePair()
      {
 using __do_converts = __and_<is_convertible<const _U1&, _T1>,
      is_convertible<_U2&&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, _U2&&>,
        __converts
        >::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _MoveCopyPair()
      {
 using __do_converts = __and_<is_convertible<_U1&&, _T1>,
      is_convertible<const _U2&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, const _U2&&>,
        __converts
        >::value;
      }
  };

  template <typename _T1, typename _T2>
    struct _PCC<false, _T1, _T2>
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return false;
      }
  };




  struct __nonesuch_no_braces : std::__nonesuch {
    explicit __nonesuch_no_braces(const __nonesuch&) = delete;
  };


  template<typename _U1, typename _U2> class __pair_base
  {

    template<typename _T1, typename _T2> friend struct pair;
    __pair_base() = default;
    ~__pair_base() = default;
    __pair_base(const __pair_base&) = default;
    __pair_base& operator=(const __pair_base&) = delete;

  };







  template<typename _T1, typename _T2>
    struct pair
    : private __pair_base<_T1, _T2>
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;






      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>

      constexpr pair()
      : first(), second() { }


      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }
# 252 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3
      using _PCCP = _PCC<true, _T1, _T2>;

      template<typename _U1 = _T1, typename _U2=_T2, typename
        enable_if<_PCCP::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCP::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }

       template<typename _U1 = _T1, typename _U2=_T2, typename
  enable_if<_PCCP::template
       _ConstructiblePair<_U1, _U2>()
                   && !_PCCP::template
       _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
      explicit constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }
# 280 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3
      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
     bool>::type=true>
        constexpr pair(const pair<_U1, _U2>& __p)
        : first(__p.first), second(__p.second) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
    && !_PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second) { }

      constexpr pair(const pair&) = default;
      constexpr pair(pair&&) = default;


      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<true, _U1, _T2>(),
                         bool>::type=true>
       constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<false, _U1, _T2>(),
                         bool>::type=false>
       explicit constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<true, _T1, _U2>(),
                         bool>::type=true>
       constexpr pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<false, _T1, _U2>(),
                         bool>::type=false>
       explicit pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit 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=(typename conditional<
  __and_<is_copy_assignable<_T1>,
         is_copy_assignable<_T2>>::value,
  const pair&, const __nonesuch_no_braces&>::type __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(typename conditional<
  __and_<is_move_assignable<_T1>,
         is_move_assignable<_T2>>::value,
  pair&&, __nonesuch_no_braces&&>::type __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<typename _U1, typename _U2>
      typename enable_if<__and_<is_assignable<_T1&, const _U1&>,
    is_assignable<_T2&, const _U2&>>::value,
    pair&>::type
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }

      template<typename _U1, typename _U2>
      typename enable_if<__and_<is_assignable<_T1&, _U1&&>,
    is_assignable<_T2&, _U2&&>>::value,
    pair&>::type
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }

      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
                      __is_nothrow_swappable<_T2>>::value)
      {
 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<typename _T1, typename _T2> pair(_T1, _T2) -> pair<_T1, _T2>;



  template<typename _T1, typename _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<typename _T1, typename _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<typename _T1, typename _T2>
    inline constexpr bool
    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x == __y); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __y < __x; }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__y < __x); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }





  template<typename _T1, typename _T2>
    inline


    typename enable_if<__and_<__is_swappable<_T1>,
                              __is_swappable<_T2>>::value>::type



    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 521 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3
  template<typename _T1, typename _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));
    }
# 540 "/opt/sutton/include/c++/9.0.0/bits/stl_pair.h" 3

}
# 71 "/opt/sutton/include/c++/9.0.0/utility" 2 3





# 1 "/opt/sutton/include/c++/9.0.0/initializer_list" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/initializer_list" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/initializer_list" 3





#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
# 77 "/opt/sutton/include/c++/9.0.0/utility" 2 3

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



  template<typename _Tp>
    struct tuple_size;





  template<typename _Tp,
    typename _Up = typename remove_cv<_Tp>::type,
    typename = typename enable_if<is_same<_Tp, _Up>::value>::type,
    size_t = tuple_size<_Tp>::value>
    using __enable_if_has_tuple_size = _Tp;

  template<typename _Tp>
    struct tuple_size<const __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };

  template<typename _Tp>
    struct tuple_size<volatile __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };

  template<typename _Tp>
    struct tuple_size<const volatile __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };


  template<std::size_t __i, typename _Tp>
    struct tuple_element;


  template<std::size_t __i, typename _Tp>
    using __tuple_element_t = typename tuple_element<__i, _Tp>::type;

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const _Tp>
    {
      typedef typename add_const<__tuple_element_t<__i, _Tp>>::type type;
    };

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, volatile _Tp>
    {
      typedef typename add_volatile<__tuple_element_t<__i, _Tp>>::type type;
    };

  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const volatile _Tp>
    {
      typedef typename add_cv<__tuple_element_t<__i, _Tp>>::type type;
    };







  template<std::size_t __i, typename _Tp>
    using tuple_element_t = typename tuple_element<__i, _Tp>::type;





  template<typename _T1, typename _T2>
    struct __is_tuple_like_impl<std::pair<_T1, _T2>> : true_type
    { };


  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<typename _Tp1, typename _Tp2>
        static constexpr const _Tp1&&
        __const_move_get(const std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<const _Tp1>(__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<typename _Tp1, typename _Tp2>
        static constexpr const _Tp2&&
        __const_move_get(const std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<const _Tp2>(__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); }

  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_move_get(std::move(__in)); }





  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Tp, _Up>&& __p) noexcept
    { return std::move(__p.first); }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&&
    get(const pair<_Tp, _Up>&& __p) noexcept
    { return std::move(__p.first); }

  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Up, _Tp>&& __p) noexcept
    { return std::move(__p.second); }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&&
    get(const pair<_Up, _Tp>&& __p) noexcept
    { return std::move(__p.second); }




  template <typename _Tp, typename _Up = _Tp>
    inline _Tp
    exchange(_Tp& __obj, _Up&& __new_val)
    { return std::__exchange(__obj, std::forward<_Up>(__new_val)); }




  template<size_t... _Indexes> struct _Index_tuple { };
# 301 "/opt/sutton/include/c++/9.0.0/utility" 3
  template<size_t _Num>
    struct _Build_index_tuple
    {






      using __type = _Index_tuple<__integer_pack(_Num)...>;

    };






  template<typename _Tp, _Tp... _Idx>
    struct integer_sequence
    {
      typedef _Tp value_type;
      static constexpr size_t size() noexcept { return sizeof...(_Idx); }
    };


  template<typename _Tp, _Tp _Num>
    using make_integer_sequence



      = integer_sequence<_Tp, __integer_pack(_Num)...>;





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


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


  template<typename... _Types>
    using index_sequence_for = make_index_sequence<sizeof...(_Types)>;




  struct in_place_t {
    explicit in_place_t() = default;
  };

  inline constexpr in_place_t in_place{};

  template<typename _Tp> struct in_place_type_t
  {
    explicit in_place_type_t() = default;
  };

  template<typename _Tp>
    inline constexpr in_place_type_t<_Tp> in_place_type{};

  template<size_t _Idx> struct in_place_index_t
  {
    explicit in_place_index_t() = default;
  };

  template<size_t _Idx>
    inline constexpr in_place_index_t<_Idx> in_place_index{};

  template<typename>
    struct __is_in_place_type_impl : false_type
    { };

  template<typename _Tp>
    struct __is_in_place_type_impl<in_place_type_t<_Tp>> : true_type
    { };

  template<typename _Tp>
    struct __is_in_place_type
      : public __is_in_place_type_impl<_Tp>
    { };


  template<typename _Tp>
    constexpr add_const_t<_Tp>& as_const(_Tp& __t) noexcept { return __t; }

  template<typename _Tp>
    void as_const(const _Tp&&) = delete;




}
# 22 "../../../include/cjdb/detail/type_traits/type_traits.hpp" 2


# 23 "../../../include/cjdb/detail/type_traits/type_traits.hpp"
namespace cjdb {

   using std::integral_constant;
   using std::bool_constant;
   using std::true_type;
   using std::false_type;


   using std::is_void, std::is_void_v;
   using std::is_null_pointer, std::is_null_pointer_v;
   using std::is_integral, std::is_integral_v;
   using std::is_floating_point, std::is_floating_point_v;
   using std::is_array, std::is_array_v;
   using std::is_enum, std::is_enum_v;
   using std::is_union, std::is_union_v;
   using std::is_class, std::is_class_v;
   using std::is_function, std::is_function_v;
   using std::is_pointer, std::is_pointer_v;
   using std::is_lvalue_reference, std::is_lvalue_reference_v;
   using std::is_rvalue_reference, std::is_rvalue_reference_v;
   using std::is_member_object_pointer, std::is_member_object_pointer_v;
   using std::is_member_function_pointer, std::is_member_function_pointer_v;


   using std::is_fundamental, std::is_fundamental_v;
   using std::is_arithmetic, std::is_arithmetic_v;
   using std::is_scalar, std::is_scalar_v;
   using std::is_object, std::is_object_v;
   using std::is_compound, std::is_compound_v;
   using std::is_reference, std::is_reference_v;
   using std::is_member_pointer, std::is_member_pointer_v;


   using std::is_const, std::is_const_v;
   using std::is_volatile, std::is_volatile_v;
   using std::is_trivial, std::is_trivial_v;
   using std::is_trivially_copyable, std::is_trivially_copyable_v;
   using std::is_standard_layout, std::is_standard_layout_v;
   using std::has_unique_object_representations, std::has_unique_object_representations_v;
   using std::is_empty, std::is_empty_v;
   using std::is_polymorphic, std::is_polymorphic_v;
   using std::is_abstract, std::is_abstract_v;
   using std::is_final, std::is_final_v;
   using std::is_aggregate, std::is_aggregate_v;
   using std::is_signed, std::is_signed_v;
   using std::is_unsigned, std::is_unsigned_v;


   using std::is_constructible, std::is_constructible_v;
   using std::is_trivially_constructible, std::is_trivially_constructible_v;
   using std::is_nothrow_constructible, std::is_nothrow_constructible_v;

   using std::is_default_constructible, std::is_default_constructible_v;
   using std::is_trivially_default_constructible, std::is_trivially_default_constructible_v;
   using std::is_nothrow_default_constructible, std::is_nothrow_default_constructible_v;

   using std::is_copy_constructible, std::is_copy_constructible_v;
   using std::is_trivially_copy_constructible, std::is_trivially_copy_constructible_v;
   using std::is_nothrow_copy_constructible, std::is_nothrow_copy_constructible_v;

   using std::is_move_constructible, std::is_move_constructible_v;
   using std::is_trivially_move_constructible, std::is_trivially_move_constructible_v;
   using std::is_nothrow_move_constructible, std::is_nothrow_move_constructible_v;

   using std::is_assignable, std::is_assignable_v;
   using std::is_trivially_assignable, std::is_trivially_assignable_v;
   using std::is_nothrow_assignable, std::is_nothrow_assignable_v;

   using std::is_copy_assignable, std::is_copy_assignable_v;
   using std::is_trivially_copy_assignable, std::is_trivially_copy_assignable_v;
   using std::is_nothrow_copy_assignable, std::is_nothrow_copy_assignable_v;

   using std::is_move_assignable, std::is_move_assignable_v;
   using std::is_trivially_move_assignable, std::is_trivially_move_assignable_v;
   using std::is_nothrow_move_assignable, std::is_nothrow_move_assignable_v;

   using std::is_destructible, std::is_destructible_v;
   using std::is_trivially_destructible, std::is_trivially_destructible_v;
   using std::is_nothrow_destructible, std::is_nothrow_destructible_v;

   using std::has_virtual_destructor, std::has_virtual_destructor_v;

   using std::is_swappable_with, std::is_swappable_with_v;
   using std::is_swappable, std::is_swappable_v;
   using std::is_nothrow_swappable_with, std::is_nothrow_swappable_with_v;
   using std::is_nothrow_swappable, std::is_nothrow_swappable_v;


   using std::alignment_of, std::alignment_of_v;
   using std::rank, std::rank_v;
   using std::extent, std::extent_v;


   using std::is_same, std::is_same_v;
   using std::is_base_of, std::is_base_of_v;
   using std::is_convertible, std::is_convertible_v;

   template<class From, class To>
   struct is_nothrow_convertible
      : bool_constant<is_convertible_v<From, To> and noexcept(To(std::declval<From>()))> {};

   template<class From, class To>
   constexpr auto is_nothrow_convertible_v = is_nothrow_convertible<From, To>();

   using std::is_invocable, std::is_invocable_v;
   using std::is_invocable_r, std::is_invocable_r_v;
   using std::is_nothrow_invocable, std::is_nothrow_invocable_v;
   using std::is_nothrow_invocable_r, std::is_nothrow_invocable_r_v;


   using std::remove_cv, std::remove_cv_t;
   using std::remove_const, std::remove_const_t;
   using std::remove_volatile, std::remove_volatile_t;

   using std::add_cv, std::add_cv_t;
   using std::add_const, std::add_const_t;
   using std::add_volatile, std::add_volatile_t;


   using std::remove_reference, std::remove_reference_t;
   using std::add_lvalue_reference, std::add_lvalue_reference_t;
   using std::add_rvalue_reference, std::add_rvalue_reference_t;


   using std::remove_pointer, std::remove_pointer_t;
   using std::add_pointer, std::add_pointer_t;


   using std::make_signed, std::make_signed_t;
   using std::make_unsigned, std::make_unsigned_t;


   using std::remove_extent, std::remove_extent_t;
   using std::remove_all_extents, std::remove_all_extents_t;


   using std::aligned_storage, std::aligned_storage_t;
   using std::aligned_union, std::aligned_union_t;
   using std::decay, std::decay_t;

   template<class T> using remove_cvref = remove_cv<remove_reference_t<T>>;
   template<class T> using remove_cvref_t = _t<remove_cvref<T>>;

   using std::enable_if, std::enable_if_t;
   using std::conditional, std::conditional_t;
   using std::underlying_type, std::underlying_type_t;
   using std::invoke_result, std::invoke_result_t;
   using std::void_t;


   using std::conjunction, std::conjunction_v;
   using std::disjunction, std::disjunction_v;
   using std::negation, std::negation_v;
}
# 20 "../../../include/cjdb/detail/concepts/core/convertibleto.hpp" 2

namespace cjdb {
# 48 "../../../include/cjdb/detail/concepts/core/convertibleto.hpp"
   template<class From, class To>
   concept ConvertibleTo =
      is_convertible_v<From, To> and
      requires(From (&f)()) {
         static_cast<To>(f());
      };
}
# 20 "../../../include/cjdb/detail/concepts/core/commonreference.hpp" 2
# 1 "../../../include/cjdb/detail/concepts/core/same.hpp" 1
# 21 "../../../include/cjdb/detail/concepts/core/same.hpp"
namespace cjdb {
   namespace detail_same {



      template<class T, class U>
      concept is_same = is_same_v<T, U>;
   }





   template<class T, class U>
   concept Same = detail_same::is_same<T, U> and detail_same::is_same<U, T>;
}
# 21 "../../../include/cjdb/detail/concepts/core/commonreference.hpp" 2
# 1 "../../../include/cjdb/detail/type_traits/common_reference.hpp" 1
# 20 "../../../include/cjdb/detail/type_traits/common_reference.hpp"
# 1 "../../../include/cjdb/detail/type_traits/common_type.hpp" 1
# 25 "../../../include/cjdb/detail/type_traits/common_type.hpp"
namespace cjdb {
   template<class A>
   using cref =
      add_lvalue_reference_t<
         const remove_reference_t<A>
      >;

   template<class From, class To>
   struct copycv {
      using type = To;
   };

   template<class From, class To>
   struct copycv<From const, To> : add_const<To> {};

   template<class From, class To>
   struct copycv<From volatile, To> : add_volatile<To> {};

   template<class From, class To>
   struct copycv<From const volatile, To> : add_cv<To> {};

   template<class From, class To>
   using copycv_t = _t<copycv<From, To>>;

   template<class X, class Y>
   using cond_res = decltype(false ? std::declval<X(&)()>()() : std::declval<Y(&)()>()());

   template<class... T>
   struct common_type {};

   template<class... T>
   using common_type_t = _t<common_type<T... >>;

   template<class T>
   struct common_type<T> : common_type<T, T>
   {};

   namespace detail_common_type {
      template<class, class>
      struct common_type4 : common_type<> {};

      template<class D1, class D2>
      requires requires {
         typename decay_t<cond_res<cref<D1>, cref<D2>>>;
      }
      struct common_type4<D1, D2> {
         using type = decay_t<cond_res<cref<D1>, cref<D2>>>;
      };

      template<class D1, class D2>
      struct common_type3 : common_type4<D1, D2> {};

      template<class D1, class D2>
      requires requires {
         typename decay_t<decltype(false ? std::declval<D1>() : std::declval<D2>())>;
      }
      struct common_type3<D1, D2> {
         using type = decay_t<decltype(false ? std::declval<D1>() : std::declval<D2>())>;
      };
   }

   template<class T1, class T2>
   struct common_type<T1, T2> : detail_common_type::common_type3<decay_t<T1>, decay_t<T2>> {};

   namespace detail_common_type {
      template<class, class>
      struct common_type2 : common_type<> {};
      template<class D1, class D2>
      requires requires {
         typename common_type_t<D1, D2>;
      }
      struct common_type2<D1, D2> : common_type<D1, D2> {};
   }

   template<class T1, class T2>
   requires
      (not Same<T1, decay_t<T1>>) or
      (not Same<T2, decay_t<T2>>)
   struct common_type<T1, T2> : detail_common_type::common_type2<decay_t<T1>, decay_t<T2>>
   {};

   namespace detail_common_type {
      template<class T1, class T2, class... R>
      struct common_type5 : common_type<> {};

      template<class T1, class T2, class... R>
      requires requires {
         typename common_type_t<T1, T2>;
         typename common_type_t<R...>;
      }
      struct common_type5<T1, T2, R...> : common_type<common_type_t<T1, T2>, common_type_t<R...>> {
      };
   }

   template <typename T1, typename T2, typename... R>
   requires (sizeof...(R) > 0)
   struct common_type<T1, T2, R...> : detail_common_type::common_type5<T1, T2, R...> {};
}
# 21 "../../../include/cjdb/detail/type_traits/common_reference.hpp" 2


namespace cjdb {
   template<class T1, class T2, template<class> class T1Qual, template<class> class T2Qual>
   struct basic_common_reference {};

   template<class...>
   struct common_reference {};

   template<class... T>
   using common_reference_t = _t<common_reference<T...>>;

   template<class T0>
   struct common_reference<T0> : common_reference<> {
      using type = T0;
   };

   namespace detail_common_reference {
      template<class T1, class T2>
      struct common_reference5 : common_type<> {};

      template<class T1, class T2>
      requires requires {
         typename common_type_t<T1, T2>;
      }
      struct common_reference5<T1, T2> {
         using type = common_type_t<T1, T2>;
      };

      template<class T1, class T2>
      struct common_reference4 : common_reference5<T1, T2> {};

      template<class T1, class T2>
      requires requires {
         typename cond_res<T1, T2>;
      }
      struct common_reference4<T1, T2> : common_reference<> {
         using type = cond_res<T1, T2>;
      };

      template<class T1, class T2>
      struct common_reference3 : common_reference4<T1, T2> {};

      template<class A>
      struct xref {
         template<class U>
         using T = U;
      };

      template<class A>
      struct xref<A&> {
         template<class U>
         using T = std::add_lvalue_reference_t<typename xref<A>::template T<U>>;
      };

      template<class A>
      struct xref<A&&> {
         template<class U>
         using T = std::add_rvalue_reference_t<typename xref<A>::template T<U>>;
      };

      template<class A>
      struct xref<A const> {
         template<class U>
         using T = std::add_const_t<typename xref<A>::template T<U>>;
      };

      template<class A>
      struct xref<A volatile> {
         template<class U>
         using T = std::add_volatile_t<typename xref<A>::template T<U>>;
      };

      template<class A>
      struct xref<A const volatile> {
         template<class U>
         using T = std::add_cv_t<typename xref<A>::template T<U>>;
      };

      template<class T1, class T2>
      requires requires {
         typename basic_common_reference<
            remove_cvref_t<T1>,
            remove_cvref_t<T2>,
            xref<T1>::template T,
            xref<T2>::template T>::type;
      }
      struct common_reference3<T1, T2> {
         using type =
            typename basic_common_reference<
               remove_cvref_t<T1>,
               remove_cvref_t<T2>,
               xref<T1>::template T,
               xref<T2>::template T>::type;
      };

      template<class T1, class T2>
      struct common_reference2 : common_reference3<T1, T2> {};

      namespace common_ref {
         template<class A, class B,
            class X = std::remove_reference_t<A>,
            class Y = std::remove_reference_t<B>>
         struct common_ref {};
      }

      template<class A, class B>
      using common_ref_t = _t<common_ref::common_ref<A, B>>;

      namespace common_ref {
         template<class X, class Y>
         using kond_rez = cond_res<copycv_t<X, Y>&, copycv_t<Y, X>&>;

         template<class A, class B, class X, class Y>
         requires
            requires { typename kond_rez<X, Y>; } and
            std::is_reference_v<kond_rez<X, Y>>
         struct common_ref<A&, B&, X, Y> {
            using type = kond_rez<X, Y>;
         };

         template<class X, class Y>
         using C = std::add_rvalue_reference_t<std::remove_reference_t<common_ref_t<X&, Y&>>>;

         template<class A, class B, class X, class Y>
         requires
            requires { typename C<X, Y>; } and
            std::is_convertible_v<A, C<X, Y>> and
            std::is_convertible_v<B, C<X, Y>>
         struct common_ref<A&&, B&&, X, Y> {
            using type = C<X, Y>;
         };

         template<class X, class Y>
         using D = common_ref_t<X const&, Y&>;

         template<class A, class B, class X, class Y>
         requires
            requires { typename D<X, Y>; } and
            std::is_convertible_v<A, D<X, Y>>
         struct common_ref<A&&, B&, X, Y> {
            using type = D<X, Y>;
         };

         template<class A, class B, class X, class Y>
         struct common_ref<A&, B&&, X, Y> : common_ref<B&&, A&, X, Y> {};
      }

      template<class T1, class T2>
      requires requires {
         typename common_ref_t<T1, T2>;
      }
      struct common_reference2<T1, T2> {
         using type = common_ref_t<T1, T2>;
      };
   }

   template<class T1, class T2>
   struct common_reference<T1, T2> : detail_common_reference::common_reference2<T1, T2> {};

   template<class T1, class T2, class T3, class... Rest>
   struct common_reference<T1, T2, T3, Rest...>
      : common_reference<common_reference_t<T1, T2>, T3, Rest...> {};
}
# 22 "../../../include/cjdb/detail/concepts/core/commonreference.hpp" 2

namespace cjdb {
# 41 "../../../include/cjdb/detail/concepts/core/commonreference.hpp"
   template<class T, class U>
   concept CommonReference =
      Same<common_reference_t<T, U>, common_reference_t<U, T>> and
      ConvertibleTo<T, common_reference_t<T, U>> and
      ConvertibleTo<U, common_reference_t<T, U>>;
}
# 20 "../../../include/cjdb/detail/concepts/core/assignable.hpp" 2



namespace cjdb {
# 44 "../../../include/cjdb/detail/concepts/core/assignable.hpp"
   template<class LHS, class RHS>
   concept Assignable =
      is_lvalue_reference_v<LHS> and
      CommonReference<const remove_reference_t<LHS>&, const remove_reference_t<RHS>&> and
      requires(LHS lhs, RHS&& rhs) {
         lhs = std::forward<RHS>(rhs);
         requires Same<decltype(lhs = std::forward<RHS>(rhs)), LHS>;
      };
}
# 20 "../../../include/cjdb/detail/concepts/core/swappable.hpp" 2

# 1 "../../../include/cjdb/detail/concepts/core/moveconstructible.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/moveconstructible.hpp"
# 1 "../../../include/cjdb/detail/concepts/core/constructible.hpp" 1
# 19 "../../../include/cjdb/detail/concepts/core/constructible.hpp"
# 1 "../../../include/cjdb/detail/concepts/core/destructible.hpp" 1
# 21 "../../../include/cjdb/detail/concepts/core/destructible.hpp"
namespace cjdb {
# 30 "../../../include/cjdb/detail/concepts/core/destructible.hpp"
   template<class T>
   concept Destructible = is_nothrow_destructible_v<T>;
}
# 20 "../../../include/cjdb/detail/concepts/core/constructible.hpp" 2


namespace cjdb {




   template<class T, class... Args>
   concept Constructible = Destructible<T> and is_constructible_v<T, Args...>;
}
# 20 "../../../include/cjdb/detail/concepts/core/moveconstructible.hpp" 2


namespace cjdb {
# 32 "../../../include/cjdb/detail/concepts/core/moveconstructible.hpp"
   template<class T>
   concept MoveConstructible = Constructible<T, T> and ConvertibleTo<T, T>;
}
# 22 "../../../include/cjdb/detail/concepts/core/swappable.hpp" 2




# 1 "../../../include/cjdb/detail/define.hpp" 1
# 41 "../../../include/cjdb/detail/define.hpp"
namespace cjdb::detail_audit_mode {

      inline constexpr auto audit_mode = true;



}
# 27 "../../../include/cjdb/detail/concepts/core/swappable.hpp" 2

namespace cjdb {
   namespace ranges {
      namespace detail_swap {



         template<class T> void swap(T&, T&) = delete;



         template<class T, std::size_t N> void swap(T(&)[N], T(&)[N]) = delete;



         template<class T1, class T2>
         constexpr auto is_customised = false;

         template<class T1, class T2>
         requires
            is_class_v<remove_cvref_t<T1>> and
            is_class_v<remove_cvref_t<T2>> and
            requires(T1&& t1, T2&& t2) {
               swap(static_cast<T1&&>(t1), static_cast<T2&&>(t2));
            }
         constexpr auto is_customised<T1, T2> = true;




         class swap_fn {
            template<class T1, class T2>
            static constexpr T1 exachange(T1& t1, T2&& t2)
            noexcept(is_nothrow_move_constructible_v<T1> and is_nothrow_assignable_v<T1&, T2>)
            {
               auto temp = std::move(t1);
               t1 = static_cast<T2&&>(t2);
               return temp;
            }
         public:
            template<class T1, class T2>
            requires is_customised<T1, T2>
            constexpr void operator()(T1&& t1, T2&& t2) const
            noexcept(noexcept((void)swap(std::forward<T1>(t1), std::forward<T2>(t2)))) { return (void)swap(std::forward<T1>(t1), std::forward<T2>(t2)); }



            template<class T1, class T2, std::size_t N>
            requires
               (not is_customised<T1(&)[N], T2(&)[N]>) and
               (extent_v<T1> == extent_v<T2>) and
               requires(T1(& t1)[N], T2(& t2)[N]) {
                  std::declval<swap_fn const&>()(t1[0], t2[1]);
               }
            constexpr void operator()(T1(& t1)[N], T2(& t2)[N]) const
            noexcept(noexcept(std::declval<swap_fn const&>()(t1[0], t2[0])))
            {
               for (auto i = std::size_t{}; i < N; ++i) {
                  (*this)(t1[i], t2[i]);
               }
            }

            template<class T>
            requires
               (not is_customised<T&, T&>) and
               MoveConstructible<T> and
               Assignable<T&, T>
            constexpr void operator()(T& x, T& y) const
            noexcept(noexcept((void)(y = swap_fn::exachange(x, std::move(y))))) { return (void)(y = swap_fn::exachange(x, std::move(y))); }


         };
      }

      constexpr auto swap = detail_swap::swap_fn{};
   }



   template<class T>
   concept Swappable = requires(T& a, T& b) { ranges::swap(a, b); };



   template<class T, class U>
   concept SwappableWith =
      CommonReference<T, U> and
      requires(T&& t, U&& u) {
         ranges::swap(std::forward<T>(t), std::forward<T>(t));
         ranges::swap(std::forward<U>(u), std::forward<U>(u));
         ranges::swap(std::forward<T>(t), std::forward<U>(u));
         ranges::swap(std::forward<U>(u), std::forward<T>(t));
      };
}

# 1 "../../../include/cjdb/detail/undef.hpp" 1
# 123 "../../../include/cjdb/detail/concepts/core/swappable.hpp" 2
# 12 "../../../test/concepts/core/swappable.cpp" 2


# 1 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 1 3 4
# 23 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3 4
           
# 24 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
# 42 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
#pragma GCC diagnostic ignored "-Wparentheses"
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-variable"
#pragma GCC diagnostic ignored "-Wpadded"
# 94 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3

# 94 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
    unsigned int rngSeed();
}
# 376 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
# 1 "/opt/sutton/include/c++/9.0.0/iosfwd" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/iosfwd" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/iosfwd" 3


# 1 "/opt/sutton/include/c++/9.0.0/bits/stringfwd.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/stringfwd.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/stringfwd.h" 3


# 1 "/opt/sutton/include/c++/9.0.0/bits/memoryfwd.h" 1 3
# 46 "/opt/sutton/include/c++/9.0.0/bits/memoryfwd.h" 3
       
# 47 "/opt/sutton/include/c++/9.0.0/bits/memoryfwd.h" 3



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

# 63 "/opt/sutton/include/c++/9.0.0/bits/memoryfwd.h" 3
  template<typename>
    class allocator;

  template<>
    class allocator<void>;


  template<typename, typename>
    struct uses_allocator;




}
# 41 "/opt/sutton/include/c++/9.0.0/bits/stringfwd.h" 2 3

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








  template<class _CharT>
    struct char_traits;

  template<> struct char_traits<char>;


  template<> struct char_traits<wchar_t>;



  template<> struct char_traits<char16_t>;
  template<> struct char_traits<char32_t>;


namespace __cxx11 {

  template<typename _CharT, typename _Traits = char_traits<_CharT>,
           typename _Alloc = allocator<_CharT> >
    class basic_string;

}


  typedef basic_string<char> string;



  typedef basic_string<wchar_t> wstring;




  typedef basic_string<char16_t> u16string;


  typedef basic_string<char32_t> u32string;





}
# 40 "/opt/sutton/include/c++/9.0.0/iosfwd" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 1 3
# 38 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
       
# 39 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/cwchar" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cwchar" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cwchar" 3




# 1 "/usr/include/wchar.h" 1 3 4
# 27 "/usr/include/wchar.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 1 3 4
# 75 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef _Complex float __cfloat128 __attribute__ ((__mode__ (__TC__)));
# 87 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef __float128 _Float128;
# 120 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 2 3 4
# 207 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef float _Float32;
# 244 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float64;
# 261 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float32x;
# 278 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef long double _Float64x;
# 121 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 2 3 4
# 31 "/usr/include/wchar.h" 2 3 4




# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 209 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 36 "/usr/include/wchar.h" 2 3 4


# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdarg.h" 1 3 4
# 40 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 39 "/usr/include/wchar.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/wchar.h" 1 3 4
# 41 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/wint_t.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/types/wint_t.h" 3 4
typedef unsigned int wint_t;
# 42 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/mbstate_t.h" 1 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 1 3 4
# 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 3 4
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 5 "/usr/include/x86_64-linux-gnu/bits/types/mbstate_t.h" 2 3 4

typedef __mbstate_t mbstate_t;
# 43 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h" 1 3 4



struct _IO_FILE;
typedef struct _IO_FILE __FILE;
# 44 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/FILE.h" 1 3 4



struct _IO_FILE;


typedef struct _IO_FILE FILE;
# 47 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 3 4
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];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 2 3 4

typedef __locale_t locale_t;
# 50 "/usr/include/wchar.h" 2 3 4
# 79 "/usr/include/wchar.h" 3 4
extern "C" {



struct tm;



extern wchar_t *wcscpy (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern wchar_t *wcsncpy (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern wchar_t *wcscat (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern wchar_t *wcsncat (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int wcscmp (const wchar_t *__s1, const wchar_t *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int wcsncmp (const wchar_t *__s1, const wchar_t *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



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 ();



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__));
# 181 "/usr/include/wchar.h" 3 4
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__));
# 240 "/usr/include/wchar.h" 3 4
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 *__s1, const wchar_t *__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 *__restrict __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 ();
# 337 "/usr/include/wchar.h" 3 4
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 ();
# 396 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32 (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr) throw ();



extern _Float64 wcstof64 (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr) throw ();



extern _Float128 wcstof128 (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();



extern _Float32x wcstof32x (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();



extern _Float64x wcstof64x (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();
# 428 "/usr/include/wchar.h" 3 4
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 ();
# 511 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       locale_t __loc) throw ();



extern _Float64 wcstof64_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       locale_t __loc) throw ();



extern _Float128 wcstof128_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();



extern _Float32x wcstof32x_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();



extern _Float64x wcstof64x_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) throw ();
# 551 "/usr/include/wchar.h" 3 4
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 ();
# 567 "/usr/include/wchar.h" 3 4
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 () ;
# 673 "/usr/include/wchar.h" 3 4
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 () ;
# 727 "/usr/include/wchar.h" 3 4
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);
# 782 "/usr/include/wchar.h" 3 4
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);
# 808 "/usr/include/wchar.h" 3 4
extern wint_t putwc_unlocked (wchar_t __wc, __FILE *__stream);
extern wint_t putwchar_unlocked (wchar_t __wc);
# 818 "/usr/include/wchar.h" 3 4
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 ();
# 857 "/usr/include/wchar.h" 3 4
}
# 45 "/opt/sutton/include/c++/9.0.0/cwchar" 2 3
# 62 "/opt/sutton/include/c++/9.0.0/cwchar" 3
namespace std
{
  using ::mbstate_t;
}
# 135 "/opt/sutton/include/c++/9.0.0/cwchar" 3
extern "C++"
{
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;
# 234 "/opt/sutton/include/c++/9.0.0/cwchar" 3

}
}







namespace __gnu_cxx
{





  using ::wcstold;
# 260 "/opt/sutton/include/c++/9.0.0/cwchar" 3
  using ::wcstoll;
  using ::wcstoull;

}

namespace std
{
  using ::__gnu_cxx::wcstold;
  using ::__gnu_cxx::wcstoll;
  using ::__gnu_cxx::wcstoull;
}
# 280 "/opt/sutton/include/c++/9.0.0/cwchar" 3
namespace std
{

  using std::wcstof;


  using std::vfwscanf;


  using std::vswscanf;


  using std::vwscanf;



  using std::wcstold;
  using std::wcstoll;
  using std::wcstoull;

}
# 41 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 2 3
# 68 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 88 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
  typedef long streamoff;
# 98 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
  typedef ptrdiff_t streamsize;
# 111 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
  template<typename _StateT>
    class fpos
    {
    private:
      streamoff _M_off;
      _StateT _M_state;

    public:




      fpos()
      : _M_off(0), _M_state() { }
# 133 "/opt/sutton/include/c++/9.0.0/bits/postypes.h" 3
      fpos(streamoff __off)
      : _M_off(__off), _M_state() { }


      fpos(const fpos&) = default;
      fpos& operator=(const fpos&) = default;
      ~fpos() = default;



      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;



}
# 41 "/opt/sutton/include/c++/9.0.0/iosfwd" 2 3

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

# 74 "/opt/sutton/include/c++/9.0.0/iosfwd" 3
  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;


namespace __cxx11 {

  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;




}
# 377 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/string" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/string" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/string" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 1 3
# 60 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/functexcept.h" 1 3
# 40 "/opt/sutton/include/c++/9.0.0/bits/functexcept.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/exception_defines.h" 1 3
# 41 "/opt/sutton/include/c++/9.0.0/bits/functexcept.h" 2 3

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_out_of_range_fmt(const char*, ...) __attribute__((__noreturn__))
    __attribute__((__format__(__gnu_printf__, 1, 2)));

  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_ios_failure(const char*, int) __attribute__((__noreturn__));


  void
  __throw_system_error(int) __attribute__((__noreturn__));


  void
  __throw_future_error(int) __attribute__((__noreturn__));


  void
  __throw_bad_function_call() __attribute__((__noreturn__));


}
# 61 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/cpp_type_traits.h" 1 3
# 35 "/opt/sutton/include/c++/9.0.0/bits/cpp_type_traits.h" 3
       
# 36 "/opt/sutton/include/c++/9.0.0/bits/cpp_type_traits.h" 3
# 67 "/opt/sutton/include/c++/9.0.0/bits/cpp_type_traits.h" 3
extern "C++" {

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;
    };
# 278 "/opt/sutton/include/c++/9.0.0/bits/cpp_type_traits.h" 3
  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_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_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;
    };


  enum class byte : unsigned char;

  template<>
    struct __is_byte<byte>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };





  template<typename _Tp>
    struct __is_move_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };



  template<typename _Iterator>
    inline _Iterator
    __miter_base(_Iterator __it)
    { return __it; }


}
}
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/ext/type_traits.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/type_traits.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/type_traits.h" 3




extern "C++" {

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; }


  inline bool
  __is_null_pointer(std::nullptr_t)
  { return true; }



  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;
    };


}
}
# 63 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/ext/numeric_traits.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/numeric_traits.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/numeric_traits.h" 3




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

# 54 "/opt/sutton/include/c++/9.0.0/ext/numeric_traits.h" 3
  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;
# 99 "/opt/sutton/include/c++/9.0.0/ext/numeric_traits.h" 3
  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
    { };


}
# 64 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 1 3
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
       
# 63 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3







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

# 89 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
  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 { };
# 116 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
  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;
    };
# 143 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };

  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      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> { };
# 177 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
  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 constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }
# 231 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_types.h" 3
  template<typename _InIter>
    using _RequireInputIter = typename
      enable_if<is_convertible<typename
  iterator_traits<_InIter>::iterator_category,
          input_iterator_tag>::value>::type;



}
# 66 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 1 3
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 3
       
# 63 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 3


# 1 "/opt/sutton/include/c++/9.0.0/debug/assertions.h" 1 3
# 66 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 2 3

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




  template <typename> struct _List_iterator;
  template <typename> struct _List_const_iterator;


  template<typename _InputIterator>
    inline constexpr
    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 constexpr
    typename iterator_traits<_RandomAccessIterator>::difference_type
    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
               random_access_iterator_tag)
    {

     

      return __last - __first;
    }



  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_iterator<_Tp>,
        std::_List_iterator<_Tp>,
        input_iterator_tag);

  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_const_iterator<_Tp>,
        std::_List_const_iterator<_Tp>,
        input_iterator_tag);
# 135 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    inline constexpr
    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 constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

     
      ;
      while (__n--)
 ++__i;
    }

  template<typename _BidirectionalIterator, typename _Distance>
    inline constexpr 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 constexpr void
    __advance(_RandomAccessIterator& __i, _Distance __n,
              random_access_iterator_tag)
    {

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }
# 200 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    advance(_InputIterator& __i, _Distance __n)
    {

      typename iterator_traits<_InputIterator>::difference_type __d = __n;
      std::__advance(__i, __d, std::__iterator_category(__i));
    }



  template<typename _InputIterator>
    inline constexpr _InputIterator
    next(_InputIterator __x, typename
  iterator_traits<_InputIterator>::difference_type __n = 1)
    {

     
      std::advance(__x, __n);
      return __x;
    }

  template<typename _BidirectionalIterator>
    inline constexpr _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {

     

      std::advance(__x, -__n);
      return __x;
    }




}
# 67 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 1 3
# 66 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/ptr_traits.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/ptr_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  class __undefined;


  template<typename _Tp>
    struct __get_first_arg
    { using type = __undefined; };

  template<template<typename, typename...> class _Template, typename _Tp,
           typename... _Types>
    struct __get_first_arg<_Template<_Tp, _Types...>>
    { using type = _Tp; };

  template<typename _Tp>
    using __get_first_arg_t = typename __get_first_arg<_Tp>::type;


  template<typename _Tp, typename _Up>
    struct __replace_first_arg
    { };

  template<template<typename, typename...> class _Template, typename _Up,
           typename _Tp, typename... _Types>
    struct __replace_first_arg<_Template<_Tp, _Types...>, _Up>
    { using type = _Template<_Up, _Types...>; };

  template<typename _Tp, typename _Up>
    using __replace_first_arg_t = typename __replace_first_arg<_Tp, _Up>::type;

  template<typename _Tp>
    using __make_not_void
      = typename conditional<is_void<_Tp>::value, __undefined, _Tp>::type;





  template<typename _Ptr>
    struct pointer_traits
    {
    private:
      template<typename _Tp>
 using __element_type = typename _Tp::element_type;

      template<typename _Tp>
 using __difference_type = typename _Tp::difference_type;

      template<typename _Tp, typename _Up, typename = void>
 struct __rebind : __replace_first_arg<_Tp, _Up> { };

      template<typename _Tp, typename _Up>
 struct __rebind<_Tp, _Up, __void_t<typename _Tp::template rebind<_Up>>>
 { using type = typename _Tp::template rebind<_Up>; };

    public:

      using pointer = _Ptr;


      using element_type
 = __detected_or_t<__get_first_arg_t<_Ptr>, __element_type, _Ptr>;


      using difference_type
 = __detected_or_t<ptrdiff_t, __difference_type, _Ptr>;


      template<typename _Up>
        using rebind = typename __rebind<_Ptr, _Up>::type;

      static _Ptr
      pointer_to(__make_not_void<element_type>& __e)
      { return _Ptr::pointer_to(__e); }

      static_assert(!is_same<element_type, __undefined>::value,
   "pointer type defines element_type or is like SomePointer<T, Args>");
    };





  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(__make_not_void<element_type>& __r) noexcept
      { return std::addressof(__r); }
    };


  template<typename _Ptr, typename _Tp>
    using __ptr_rebind = typename pointer_traits<_Ptr>::template rebind<_Tp>;

  template<typename _Tp>
    constexpr _Tp*
    __to_address(_Tp* __ptr) noexcept
    {
      static_assert(!std::is_function<_Tp>::value, "not a function pointer");
      return __ptr;
    }







  template<typename _Ptr>
    constexpr auto
    __to_address(const _Ptr& __ptr) noexcept
    -> decltype(std::pointer_traits<_Ptr>::to_address(__ptr))
    { return std::pointer_traits<_Ptr>::to_address(__ptr); }

  template<typename _Ptr, typename... _None>
    constexpr auto
    __to_address(const _Ptr& __ptr, _None...) noexcept
    { return std::__to_address(__ptr.operator->()); }







  template<typename _Tp>
    constexpr _Tp*
    to_address(_Tp* __ptr) noexcept
    { return std::__to_address(__ptr); }
# 192 "/opt/sutton/include/c++/9.0.0/bits/ptr_traits.h" 3
  template<typename _Ptr>
    constexpr auto
    to_address(const _Ptr& __ptr) noexcept
    { return std::__to_address(__ptr); }



}
# 67 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 2 3
# 76 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 104 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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;
# 130 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
      constexpr
      reverse_iterator() : current() { }




      explicit constexpr
      reverse_iterator(iterator_type __x) : current(__x) { }




      constexpr
      reverse_iterator(const reverse_iterator& __x)
      : current(__x.current) { }


      reverse_iterator& operator=(const reverse_iterator&) = default;






      template<typename _Iter>
 constexpr
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 : current(__x.base()) { }




      constexpr iterator_type
      base() const
      { return current; }
# 176 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
      constexpr reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      constexpr pointer
      operator->() const
      {


 _Iterator __tmp = current;
 --__tmp;
 return _S_to_pointer(__tmp);
      }






      constexpr reverse_iterator&
      operator++()
      {
 --current;
 return *this;
      }






      constexpr reverse_iterator
      operator++(int)
      {
 reverse_iterator __tmp = *this;
 --current;
 return __tmp;
      }






      constexpr reverse_iterator&
      operator--()
      {
 ++current;
 return *this;
      }






      constexpr reverse_iterator
      operator--(int)
      {
 reverse_iterator __tmp = *this;
 ++current;
 return __tmp;
      }






      constexpr reverse_iterator
      operator+(difference_type __n) const
      { return reverse_iterator(current - __n); }







      constexpr reverse_iterator&
      operator+=(difference_type __n)
      {
 current -= __n;
 return *this;
      }






      constexpr reverse_iterator
      operator-(difference_type __n) const
      { return reverse_iterator(current + __n); }







      constexpr reverse_iterator&
      operator-=(difference_type __n)
      {
 current += __n;
 return *this;
      }






      constexpr reference
      operator[](difference_type __n) const
      { return *(*this + __n); }

    private:
      template<typename _Tp>
 static constexpr _Tp*
 _S_to_pointer(_Tp* __p)
        { return __p; }

      template<typename _Tp>
 static constexpr pointer
 _S_to_pointer(_Tp __t)
        { return __t.operator->(); }
    };
# 323 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _Iterator>
    inline constexpr bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() < __x.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator!=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator>(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    inline constexpr bool
    operator<=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    inline constexpr bool
    operator>=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x < __y); }



  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __y.base() < __x.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__x == __y); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__x < __y); }
# 413 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline constexpr auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


  template<typename _Iterator>
    inline constexpr 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 _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    __make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }







  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }




  template<typename _Iterator>
    auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<reverse_iterator<_Iterator> >
      : __is_move_iterator<_Iterator>
    { };

  template<typename _Iterator>
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 477 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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(std::__addressof(__x)) { }
# 512 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
      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; }
    };
# 554 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _Container>
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 569 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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(std::__addressof(__x)) { }
# 603 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
      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; }
    };
# 645 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _Container>
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 664 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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(std::__addressof(__x)), iter(__i) {}
# 715 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
      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; }
    };
# 760 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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")))
{

# 784 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  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() noexcept
      : _M_current(_Iterator()) { }

      explicit
      __normal_iterator(const _Iterator& __i) noexcept
      : _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) noexcept
        : _M_current(__i.base()) { }


      reference
      operator*() const noexcept
      { return *_M_current; }

      pointer
      operator->() const noexcept
      { return _M_current; }

      __normal_iterator&
      operator++() noexcept
      {
 ++_M_current;
 return *this;
      }

      __normal_iterator
      operator++(int) noexcept
      { return __normal_iterator(_M_current++); }


      __normal_iterator&
      operator--() noexcept
      {
 --_M_current;
 return *this;
      }

      __normal_iterator
      operator--(int) noexcept
      { return __normal_iterator(_M_current--); }


      reference
      operator[](difference_type __n) const noexcept
      { return _M_current[__n]; }

      __normal_iterator&
      operator+=(difference_type __n) noexcept
      { _M_current += __n; return *this; }

      __normal_iterator
      operator+(difference_type __n) const noexcept
      { return __normal_iterator(_M_current + __n); }

      __normal_iterator&
      operator-=(difference_type __n) noexcept
      { _M_current -= __n; return *this; }

      __normal_iterator
      operator-(difference_type __n) const noexcept
      { return __normal_iterator(_M_current - __n); }

      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 884 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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)
    noexcept
    { 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) noexcept
    -> 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)
    noexcept
    { 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)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

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


  template<typename _Iterator, typename _Container>
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it.base(); }
# 1030 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator
    {
    protected:
      _Iterator _M_current;

      typedef iterator_traits<_Iterator> __traits_type;
      typedef typename __traits_type::reference __base_ref;

    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 typename conditional<is_reference<__base_ref>::value,
    typename remove_reference<__base_ref>::type&&,
    __base_ref>::type reference;

      constexpr
      move_iterator()
      : _M_current() { }

      explicit constexpr
      move_iterator(iterator_type __i)
      : _M_current(__i) { }

      template<typename _Iter>
 constexpr
 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i.base()) { }

      constexpr iterator_type
      base() const
      { return _M_current; }

      constexpr reference
      operator*() const
      { return static_cast<reference>(*_M_current); }

      constexpr pointer
      operator->() const
      { return _M_current; }

      constexpr move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }

      constexpr move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }

      constexpr move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }

      constexpr move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }

      constexpr move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }

      constexpr move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }

      constexpr move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }

      constexpr move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }

      constexpr reference
      operator[](difference_type __n) const
      { return std::move(_M_current[__n]); }
    };




  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    inline constexpr bool
    operator<=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    inline constexpr bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x < __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator>=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x < __y); }


  template<typename _IteratorL, typename _IteratorR>
    inline constexpr 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 constexpr move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)
    { return __x + __n; }

  template<typename _Iterator>
    inline constexpr 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 constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



  template<typename _Tp, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond<_Tp>::value,
      const _Tp*, move_iterator<_Tp*>>::type>
    inline constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }



  template<typename _Iterator>
    auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<typename _Iterator>
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }
# 1277 "/opt/sutton/include/c++/9.0.0/bits/stl_iterator.h" 3
  template<typename _InputIterator>
    using __iter_key_t = remove_const_t<
    typename iterator_traits<_InputIterator>::value_type::first_type>;

  template<typename _InputIterator>
    using __iter_val_t =
    typename iterator_traits<_InputIterator>::value_type::second_type;

  template<typename _T1, typename _T2>
    struct pair;

  template<typename _InputIterator>
    using __iter_to_alloc_t =
    pair<add_const_t<__iter_key_t<_InputIterator>>,
  __iter_val_t<_InputIterator>>;




}
# 68 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/debug/debug.h" 1 3
# 48 "/opt/sutton/include/c++/9.0.0/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;
}
# 70 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/predefined_ops.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/predefined_ops.h" 3
namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

  constexpr
  inline _Iter_less_iter
  __iter_less_iter()
  { return _Iter_less_iter(); }

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




    explicit
    _Iter_less_val(_Iter_less_iter) { }

    template<typename _Iterator, typename _Value>
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it < __val; }
  };

  inline _Iter_less_val
  __iter_less_val()
  { return _Iter_less_val(); }

  inline _Iter_less_val
  __iter_comp_val(_Iter_less_iter)
  { return _Iter_less_val(); }

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




    explicit
    _Val_less_iter(_Iter_less_iter) { }

    template<typename _Value, typename _Iterator>
      bool
      operator()(_Value& __val, _Iterator __it) const
      { return __val < *__it; }
  };

  inline _Val_less_iter
  __val_less_iter()
  { return _Val_less_iter(); }

  inline _Val_less_iter
  __val_comp_iter(_Iter_less_iter)
  { return _Val_less_iter(); }

  struct _Iter_equal_to_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 == *__it2; }
  };

  inline _Iter_equal_to_iter
  __iter_equal_to_iter()
  { return _Iter_equal_to_iter(); }

  struct _Iter_equal_to_val
  {
    template<typename _Iterator, typename _Value>
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it == __val; }
  };

  inline _Iter_equal_to_val
  __iter_equal_to_val()
  { return _Iter_equal_to_val(); }

  inline _Iter_equal_to_val
  __iter_comp_val(_Iter_equal_to_iter)
  { return _Iter_equal_to_val(); }

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

      explicit constexpr
      _Iter_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      template<typename _Iterator1, typename _Iterator2>
        constexpr
        bool
        operator()(_Iterator1 __it1, _Iterator2 __it2)
        { return bool(_M_comp(*__it1, *__it2)); }
    };

  template<typename _Compare>
    constexpr
    inline _Iter_comp_iter<_Compare>
    __iter_comp_iter(_Compare __comp)
    { return _Iter_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

      explicit
      _Iter_comp_val(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      explicit
      _Iter_comp_val(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


      explicit
      _Iter_comp_val(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Iterator, typename _Value>
 bool
 operator()(_Iterator __it, _Value& __val)
 { return bool(_M_comp(*__it, __val)); }
    };

  template<typename _Compare>
   inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Compare __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Iter_comp_iter<_Compare> __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

      explicit
      _Val_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      explicit
      _Val_comp_iter(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


      explicit
      _Val_comp_iter(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Value, typename _Iterator>
 bool
 operator()(_Value& __val, _Iterator __it)
 { return bool(_M_comp(__val, *__it)); }
    };

  template<typename _Compare>
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Compare __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Iter_comp_iter<_Compare> __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Value>
    struct _Iter_equals_val
    {
      _Value& _M_value;

      explicit
      _Iter_equals_val(_Value& __value)
 : _M_value(__value)
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

  template<typename _Value>
    inline _Iter_equals_val<_Value>
    __iter_equals_val(_Value& __val)
    { return _Iter_equals_val<_Value>(__val); }

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

      explicit
      _Iter_equals_iter(_Iterator1 __it1)
 : _M_it1(__it1)
      { }

      template<typename _Iterator2>
 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

  template<typename _Iterator>
    inline _Iter_equals_iter<_Iterator>
    __iter_comp_iter(_Iter_equal_to_iter, _Iterator __it)
    { return _Iter_equals_iter<_Iterator>(__it); }

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

      explicit
      _Iter_pred(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
    inline _Iter_pred<_Predicate>
    __pred_iter(_Predicate __pred)
    { return _Iter_pred<_Predicate>(std::move(__pred)); }

  template<typename _Compare, typename _Value>
    struct _Iter_comp_to_val
    {
      _Compare _M_comp;
      _Value& _M_value;

      _Iter_comp_to_val(_Compare __comp, _Value& __value)
 : _M_comp(std::move(__comp)), _M_value(__value)
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

  template<typename _Compare, typename _Value>
    _Iter_comp_to_val<_Compare, _Value>
    __iter_comp_val(_Compare __comp, _Value &__val)
    {
      return _Iter_comp_to_val<_Compare, _Value>(std::move(__comp), __val);
    }

  template<typename _Compare, typename _Iterator1>
    struct _Iter_comp_to_iter
    {
      _Compare _M_comp;
      _Iterator1 _M_it1;

      _Iter_comp_to_iter(_Compare __comp, _Iterator1 __it1)
 : _M_comp(std::move(__comp)), _M_it1(__it1)
      { }

      template<typename _Iterator2>
 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

  template<typename _Compare, typename _Iterator>
    inline _Iter_comp_to_iter<_Compare, _Iterator>
    __iter_comp_iter(_Iter_comp_iter<_Compare> __comp, _Iterator __it)
    {
      return _Iter_comp_to_iter<_Compare, _Iterator>(
   std::move(__comp._M_comp), __it);
    }

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

      explicit
      _Iter_negate(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>
 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
    inline _Iter_negate<_Predicate>
    __negate(_Iter_pred<_Predicate> __pred)
    { return _Iter_negate<_Predicate>(std::move(__pred._M_pred)); }

}
}
# 72 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 2 3




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

# 121 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 151 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 167 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {

     

     

      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
# 195 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {

     

      if (__b < __a)
 return __b;
      return __a;
    }
# 219 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {

     

      if (__a < __b)
 return __b;
      return __a;
    }
# 243 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__b, __a))
 return __b;
      return __a;
    }
# 265 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__a, __b))
 return __b;
      return __a;
    }



  template<typename _Iterator>
    inline _Iterator
    __niter_base(_Iterator __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it; }




  template<typename _From, typename _To>
    inline _From
    __niter_wrap(_From __from, _To __res)
    { return __from + (__res - std::__niter_base(__from)); }


  template<typename _Iterator>
    inline _Iterator
    __niter_wrap(const _Iterator&, _Iterator __res)
    { return __res; }







  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, (void)++__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, (void)++__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)
 {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   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_trivially_copyable(_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 std::__niter_wrap(__result,
  std::__copy_move_a<_IsMove>(std::__niter_base(__first),
         std::__niter_base(__last),
         std::__niter_base(__result)));
    }
# 463 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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);
    }
# 495 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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)
 {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   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_trivially_copyable(_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 std::__niter_wrap(__result,
  std::__copy_move_backward_a<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }
# 639 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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);
    }
# 674 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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;
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }
# 740 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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, (void) ++__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, (void) ++__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;
    }
# 800 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     
      ;

      return std::__niter_wrap(__first,
  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, (void) ++__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)
 {
   if (const size_t __len = (__last1 - __first1))
     return !__builtin_memcmp(__first1, __first2, sizeof(_Tp) * __len);
   return true;
 }
    };

  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<typename _II1, typename _II2, typename _Compare>
    bool
    __lexicographical_compare_impl(_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, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  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)
      {
 return std::__lexicographical_compare_impl(__first1, __last1,
         __first2, __last2,
     __gnu_cxx::__ops::__iter_less_iter());
      }

  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;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = __builtin_memcmp(__first1, __first2, __len))
       return __result < 0;
   return __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, typename _Compare>
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      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 (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 1002 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

      return std::__lower_bound(__first, __last, __val,
    __gnu_cxx::__ops::__iter_less_val());
    }



  inline constexpr int
  __lg(int __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr unsigned
  __lg(unsigned __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr long
  __lg(long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr unsigned long
  __lg(unsigned long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr long long
  __lg(long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }

  inline constexpr unsigned long long
  __lg(unsigned long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }


# 1057 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  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));
    }
# 1089 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return true;
    }



  template<typename _II1, typename _II2>
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!(*__first1 == *__first2))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }


  template<typename _II1, typename _II2, typename _BinaryPredicate>
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2,
      _BinaryPredicate __binary_pred)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2,
           __binary_pred);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }
# 1176 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {

     
     
     


      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2);
    }
# 1208 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2,
          __binary_pred);
    }
# 1239 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(std::__niter_base(__first1),
      std::__niter_base(__last1),
      std::__niter_base(__first2),
      std::__niter_base(__last2));
    }
# 1275 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

      return std::__lexicographical_compare_impl
 (__first1, __last1, __first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1318 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {

     
     
     


      ;

      return std::__mismatch(__first1, __last1, __first2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1351 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      return std::__mismatch(__first1, __last1, __first2,
 __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }



  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
      && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1398 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1433 "/opt/sutton/include/c++/9.0.0/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }




}
# 40 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/cwchar" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cwchar" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cwchar" 3
# 42 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 2 3





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

# 61 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
  template<typename _CharT>
    struct _Char_types
    {
      typedef unsigned long int_type;
      typedef std::streampos pos_type;
      typedef std::streamoff off_type;
      typedef std::mbstate_t state_type;
    };
# 86 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
  template<typename _CharT>
    struct char_traits
    {
      typedef _CharT char_type;
      typedef typename _Char_types<_CharT>::int_type int_type;
      typedef typename _Char_types<_CharT>::pos_type pos_type;
      typedef typename _Char_types<_CharT>::off_type off_type;
      typedef typename _Char_types<_CharT>::state_type state_type;

      static constexpr void
      assign(char_type& __c1, const char_type& __c2)
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2)
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2)
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, std::size_t __n);

      static constexpr std::size_t
      length(const char_type* __s);

      static constexpr const char_type*
      find(const char_type* __s, std::size_t __n, const char_type& __a);

      static char_type*
      move(char_type* __s1, const char_type* __s2, std::size_t __n);

      static char_type*
      copy(char_type* __s1, const char_type* __s2, std::size_t __n);

      static char_type*
      assign(char_type* __s, std::size_t __n, char_type __a);

      static constexpr char_type
      to_char_type(const int_type& __c)
      { return static_cast<char_type>(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c)
      { return static_cast<int_type>(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2)
      { return __c1 == __c2; }

      static constexpr int_type
      eof()
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c)
      { return !eq_int_type(__c, eof()) ? __c : to_int_type(char_type()); }
    };

  template<typename _CharT>
    constexpr int
    char_traits<_CharT>::
    compare(const char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      for (std::size_t __i = 0; __i < __n; ++__i)
 if (lt(__s1[__i], __s2[__i]))
   return -1;
 else if (lt(__s2[__i], __s1[__i]))
   return 1;
      return 0;
    }

  template<typename _CharT>
    constexpr std::size_t
    char_traits<_CharT>::
    length(const char_type* __p)
    {
      std::size_t __i = 0;
      while (!eq(__p[__i], char_type()))
        ++__i;
      return __i;
    }

  template<typename _CharT>
    constexpr const typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    find(const char_type* __s, std::size_t __n, const char_type& __a)
    {
      for (std::size_t __i = 0; __i < __n; ++__i)
        if (eq(__s[__i], __a))
          return __s + __i;
      return 0;
    }

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    move(char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      return static_cast<_CharT*>(__builtin_memmove(__s1, __s2,
          __n * sizeof(char_type)));
    }

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    copy(char_type* __s1, const char_type* __s2, std::size_t __n)
    {

      std::copy(__s2, __s2 + __n, __s1);
      return __s1;
    }

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    assign(char_type* __s, std::size_t __n, char_type __a)
    {

      std::fill_n(__s, __n, __a);
      return __s;
    }


}

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

# 227 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
  template<typename _CharT>
    static inline __attribute__((__always_inline__)) constexpr bool
    __constant_string_p(const _CharT* __s)
    {
      while (__builtin_constant_p(*__s) && *__s)
 __s++;
      return __builtin_constant_p(*__s);
    }
# 244 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
  template<typename _CharT>
    static inline __attribute__((__always_inline__)) constexpr bool
    __constant_char_array_p(const _CharT* __a, size_t __n)
    {
      size_t __i = 0;
      while (__builtin_constant_p(__a[__i]) && __i < __n)
 __i++;
      return __i == __n;
    }
# 268 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 3
  template<class _CharT>
    struct char_traits : public __gnu_cxx::char_traits<_CharT>
    { };



  template<>
    struct char_traits<char>
    {
      typedef char char_type;
      typedef int int_type;
      typedef streampos pos_type;
      typedef streamoff off_type;
      typedef mbstate_t state_type;

      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      {

 return (static_cast<unsigned char>(__c1)
  < static_cast<unsigned char>(__c2));
      }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {

 if (__builtin_constant_p(__n)
     && __constant_char_array_p(__s1, __n)
     && __constant_char_array_p(__s2, __n))
   return __gnu_cxx::char_traits<char_type>::compare(__s1, __s2, __n);

 if (__n == 0)
   return 0;
 return __builtin_memcmp(__s1, __s2, __n);
      }

      static constexpr size_t
      length(const char_type* __s)
      {

 if (__constant_string_p(__s))
   return __gnu_cxx::char_traits<char_type>::length(__s);

 return __builtin_strlen(__s);
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {

 if (__builtin_constant_p(__n)
     && __builtin_constant_p(__a)
     && __constant_char_array_p(__s, __n))
   return __gnu_cxx::char_traits<char_type>::find(__s, __n, __a);

 if (__n == 0)
   return 0;
 return static_cast<const char_type*>(__builtin_memchr(__s, __a, __n));
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memmove(__s1, __s2, __n));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memcpy(__s1, __s2, __n));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;
 return static_cast<char_type*>(__builtin_memset(__s, __a, __n));
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return static_cast<char_type>(__c); }



      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return static_cast<int_type>(static_cast<unsigned char>(__c)); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return (__c == eof()) ? 0 : __c; }
  };




  template<>
    struct char_traits<wchar_t>
    {
      typedef wchar_t char_type;
      typedef wint_t int_type;
      typedef streamoff off_type;
      typedef wstreampos pos_type;
      typedef mbstate_t state_type;

      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {

 if (__builtin_constant_p(__n)
     && __constant_char_array_p(__s1, __n)
     && __constant_char_array_p(__s2, __n))
   return __gnu_cxx::char_traits<char_type>::compare(__s1, __s2, __n);

 if (__n == 0)
   return 0;
 else
   return wmemcmp(__s1, __s2, __n);
      }

      static constexpr size_t
      length(const char_type* __s)
      {

 if (__constant_string_p(__s))
   return __gnu_cxx::char_traits<char_type>::length(__s);
 else

   return wcslen(__s);
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {

 if (__builtin_constant_p(__n)
     && __builtin_constant_p(__a)
     && __constant_char_array_p(__s, __n))
   return __gnu_cxx::char_traits<char_type>::find(__s, __n, __a);

 if (__n == 0)
   return 0;
 else
   return wmemchr(__s, __a, __n);
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return wmemmove(__s1, __s2, __n);
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return wmemcpy(__s1, __s2, __n);
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;
 return wmemset(__s, __a, __n);
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>((0xffffffffu)); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
  };



}



# 1 "/opt/sutton/include/c++/9.0.0/cstdint" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/cstdint" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/cstdint" 3
# 41 "/opt/sutton/include/c++/9.0.0/cstdint" 3
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdint.h" 1 3 4
# 9 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdint.h" 3 4
# 1 "/usr/include/stdint.h" 1 3 4
# 26 "/usr/include/stdint.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdint.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


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 long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 130 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
# 131 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


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 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 __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 28 "/usr/include/stdint.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 30 "/usr/include/stdint.h" 2 3 4




# 1 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 3 4
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 35 "/usr/include/stdint.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 3 4
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/include/stdint.h" 2 3 4





typedef signed char int_least8_t;
typedef short int int_least16_t;
typedef int int_least32_t;

typedef long int int_least64_t;






typedef unsigned char uint_least8_t;
typedef unsigned short int uint_least16_t;
typedef unsigned int uint_least32_t;

typedef unsigned long int uint_least64_t;
# 68 "/usr/include/stdint.h" 3 4
typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 81 "/usr/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 97 "/usr/include/stdint.h" 3 4
typedef long int intptr_t;


typedef unsigned long int uintptr_t;
# 111 "/usr/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
# 10 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdint.h" 2 3 4
# 42 "/opt/sutton/include/c++/9.0.0/cstdint" 2 3


namespace std
{

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

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

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

  using ::intmax_t;
  using ::intptr_t;

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

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

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

  using ::uintmax_t;
  using ::uintptr_t;





}
# 501 "/opt/sutton/include/c++/9.0.0/bits/char_traits.h" 2 3

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


  template<>
    struct char_traits<char16_t>
    {
      typedef char16_t char_type;

      typedef uint_least16_t int_type;





      typedef streamoff off_type;
      typedef u16streampos pos_type;
      typedef mbstate_t state_type;

      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (lt(__s1[__i], __s2[__i]))
     return -1;
   else if (lt(__s2[__i], __s1[__i]))
     return 1;
 return 0;
      }

      static constexpr size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return __c == eof() ? int_type(0xfffd) : int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
    };

  template<>
    struct char_traits<char32_t>
    {
      typedef char32_t char_type;

      typedef uint_least32_t int_type;





      typedef streamoff off_type;
      typedef u32streampos pos_type;
      typedef mbstate_t state_type;

      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      { __c1 = __c2; }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (lt(__s1[__i], __s2[__i]))
     return -1;
   else if (lt(__s2[__i], __s1[__i]))
     return 1;
 return 0;
      }

      static constexpr size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }
    };


}
# 41 "/opt/sutton/include/c++/9.0.0/string" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/allocator.h" 1 3
# 46 "/opt/sutton/include/c++/9.0.0/bits/allocator.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++allocator.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++allocator.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/ext/new_allocator.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/ext/new_allocator.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/new" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/new" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/new" 3


# 1 "/opt/sutton/include/c++/9.0.0/exception" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/exception" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/exception" 3

#pragma GCC visibility push(default)


# 1 "/opt/sutton/include/c++/9.0.0/bits/exception.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/exception.h" 3
       
# 35 "/opt/sutton/include/c++/9.0.0/bits/exception.h" 3

#pragma GCC visibility push(default)



extern "C++" {

namespace std
{
# 60 "/opt/sutton/include/c++/9.0.0/bits/exception.h" 3
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;

    exception(const exception&) = default;
    exception& operator=(const exception&) = default;
    exception(exception&&) = default;
    exception& operator=(exception&&) = default;




    virtual const char*
    what() const noexcept;
  };

}

}

#pragma GCC visibility pop
# 39 "/opt/sutton/include/c++/9.0.0/exception" 2 3

extern "C++" {

namespace std
{


  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;



  terminate_handler get_terminate() noexcept;




  void terminate() noexcept __attribute__ ((__noreturn__));


  unexpected_handler set_unexpected(unexpected_handler) noexcept;



  unexpected_handler get_unexpected() noexcept;




  void unexpected() __attribute__ ((__noreturn__));
# 101 "/opt/sutton/include/c++/9.0.0/exception" 3
  [[__deprecated__]]
  bool uncaught_exception() noexcept __attribute__ ((__pure__));




  int uncaught_exceptions() noexcept __attribute__ ((__pure__));



}

namespace __gnu_cxx
{

# 133 "/opt/sutton/include/c++/9.0.0/exception" 3
  void __verbose_terminate_handler();


}

}

#pragma GCC visibility pop


# 1 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 3
#pragma GCC visibility push(default)



# 1 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_init_exception.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_init_exception.h" 3
       
# 35 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_init_exception.h" 3

#pragma GCC visibility push(default)

# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 143 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 415 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 3 4
typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
# 426 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 3 4
} max_align_t;






  typedef decltype(nullptr) nullptr_t;
# 39 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_init_exception.h" 2 3
# 50 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_init_exception.h" 3
namespace std
{
  class type_info;
}

namespace __cxxabiv1
{
  struct __cxa_refcounted_exception;

  extern "C"
    {

      void*
      __cxa_allocate_exception(size_t) noexcept;

      void
      __cxa_free_exception(void*) noexcept;


      __cxa_refcounted_exception*
      __cxa_init_primary_exception(void *object, std::type_info *tinfo,
                void ( *dest) (void *)) noexcept;

    }
}



#pragma GCC visibility pop
# 39 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/typeinfo" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/typeinfo" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/typeinfo" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/hash_bytes.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/hash_bytes.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/hash_bytes.h" 3



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);


}
# 37 "/opt/sutton/include/c++/9.0.0/typeinfo" 2 3


#pragma GCC visibility push(default)

extern "C++" {

namespace __cxxabiv1
{
  class __class_type_info;
}
# 80 "/opt/sutton/include/c++/9.0.0/typeinfo" 3
namespace std
{






  class type_info
  {
  public:




    virtual ~type_info();



    const char* name() const noexcept
    { return __name[0] == '*' ? __name + 1 : __name; }
# 115 "/opt/sutton/include/c++/9.0.0/typeinfo" 3
    bool before(const type_info& __arg) const noexcept
    { return (__name[0] == '*' && __arg.__name[0] == '*')
 ? __name < __arg.__name
 : __builtin_strcmp (__name, __arg.__name) < 0; }

    bool operator==(const type_info& __arg) const noexcept
    {
      return ((__name == __arg.__name)
       || (__name[0] != '*' &&
    __builtin_strcmp (__name, __arg.__name) == 0));
    }
# 136 "/opt/sutton/include/c++/9.0.0/typeinfo" 3
    bool operator!=(const type_info& __arg) const noexcept
    { 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
# 40 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/new" 1 3
# 41 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 2 3

extern "C++" {

namespace std
{
  class type_info;





  namespace __exception_ptr
  {
    class exception_ptr;
  }

  using __exception_ptr::exception_ptr;





  exception_ptr current_exception() noexcept;

  template<typename _Ex>
  exception_ptr make_exception_ptr(_Ex) noexcept;


  void rethrow_exception(exception_ptr) __attribute__ ((__noreturn__));

  namespace __exception_ptr
  {
    using std::rethrow_exception;





    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);
      template<typename _Ex>
      friend exception_ptr std::make_exception_ptr(_Ex) noexcept;

    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; }
# 117 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 3
      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;
# 144 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 3
      explicit operator bool() const
      { return _M_exception_object; }


      friend bool
      operator==(const exception_ptr&, const exception_ptr&)
 noexcept __attribute__ ((__pure__));

      const class std::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>
      inline void
      __dest_thunk(void* __x)
      { static_cast<_Ex*>(__x)->~_Ex(); }

  }


  template<typename _Ex>
    exception_ptr
    make_exception_ptr(_Ex __ex) noexcept
    {

      void* __e = __cxxabiv1::__cxa_allocate_exception(sizeof(_Ex));
      (void) __cxxabiv1::__cxa_init_primary_exception(
   __e, const_cast<std::type_info*>(&typeid(__ex)),
   __exception_ptr::__dest_thunk<_Ex>);
      try
 {
          ::new (__e) _Ex(__ex);
          return exception_ptr(__e);
 }
      catch(...)
 {
   __cxxabiv1::__cxa_free_exception(__e);
   return current_exception();
 }
# 208 "/opt/sutton/include/c++/9.0.0/bits/exception_ptr.h" 3
    }


}

}

#pragma GCC visibility pop
# 144 "/opt/sutton/include/c++/9.0.0/exception" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/nested_exception.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/nested_exception.h" 3
#pragma GCC visibility push(default)
# 42 "/opt/sutton/include/c++/9.0.0/bits/nested_exception.h" 3
extern "C++" {

namespace std
{






  class nested_exception
  {
    exception_ptr _M_ptr;

  public:
    nested_exception() noexcept : _M_ptr(current_exception()) { }

    nested_exception(const nested_exception&) noexcept = default;

    nested_exception& operator=(const nested_exception&) noexcept = default;

    virtual ~nested_exception() noexcept;

    [[noreturn]]
    void
    rethrow_nested() const
    {
      if (_M_ptr)
 rethrow_exception(_M_ptr);
      std::terminate();
    }

    exception_ptr
    nested_ptr() const noexcept
    { return _M_ptr; }
  };

  template<typename _Except>
    struct _Nested_exception : public _Except, public nested_exception
    {
      explicit _Nested_exception(const _Except& __ex)
      : _Except(__ex)
      { }

      explicit _Nested_exception(_Except&& __ex)
      : _Except(static_cast<_Except&&>(__ex))
      { }
    };




  template<typename _Tp>
    [[noreturn]]
    inline void
    __throw_with_nested_impl(_Tp&& __t, true_type)
    {
      using _Up = typename remove_reference<_Tp>::type;
      throw _Nested_exception<_Up>{std::forward<_Tp>(__t)};
    }

  template<typename _Tp>
    [[noreturn]]
    inline void
    __throw_with_nested_impl(_Tp&& __t, false_type)
    { throw std::forward<_Tp>(__t); }



  template<typename _Tp>
    [[noreturn]]
    inline void
    throw_with_nested(_Tp&& __t)
    {
      using _Up = typename decay<_Tp>::type;
      using _CopyConstructible
 = __and_<is_copy_constructible<_Up>, is_move_constructible<_Up>>;
      static_assert(_CopyConstructible::value,
   "throw_with_nested argument must be CopyConstructible");
      using __nest = __and_<is_class<_Up>, __bool_constant<!__is_final(_Up)>,
       __not_<is_base_of<nested_exception, _Up>>>;
      std::__throw_with_nested_impl(std::forward<_Tp>(__t), __nest{});
    }


  template<typename _Tp>
    using __rethrow_if_nested_cond = typename enable_if<
      __and_<is_polymorphic<_Tp>,
      __or_<__not_<is_base_of<nested_exception, _Tp>>,
     is_convertible<_Tp*, nested_exception*>>>::value
    >::type;


  template<typename _Ex>
    inline __rethrow_if_nested_cond<_Ex>
    __rethrow_if_nested_impl(const _Ex* __ptr)
    {
      if (auto __ne_ptr = dynamic_cast<const nested_exception*>(__ptr))
 __ne_ptr->rethrow_nested();
    }


  inline void
  __rethrow_if_nested_impl(const void*)
  { }


  template<typename _Ex>
    inline void
    rethrow_if_nested(const _Ex& __ex)
    { std::__rethrow_if_nested_impl(std::__addressof(__ex)); }


}

}



#pragma GCC visibility pop
# 145 "/opt/sutton/include/c++/9.0.0/exception" 2 3
# 41 "/opt/sutton/include/c++/9.0.0/new" 2 3

#pragma GCC visibility push(default)

extern "C++" {

namespace std
{






  class bad_alloc : public exception
  {
  public:
    bad_alloc() throw() { }


    bad_alloc(const bad_alloc&) = default;
    bad_alloc& operator=(const bad_alloc&) = default;




    virtual ~bad_alloc() throw();


    virtual const char* what() const throw();
  };


  class bad_array_new_length : public bad_alloc
  {
  public:
    bad_array_new_length() throw() { }



    virtual ~bad_array_new_length() throw();


    virtual const char* what() const throw();
  };



  enum class align_val_t: size_t {};


  struct nothrow_t
  {

    explicit nothrow_t() = default;

  };

  extern const nothrow_t nothrow;



  typedef void (*new_handler)();



  new_handler set_new_handler(new_handler) throw();



  new_handler get_new_handler() noexcept;

}
# 125 "/opt/sutton/include/c++/9.0.0/new" 3
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 delete(void*, std::size_t) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, std::size_t) noexcept
  __attribute__((__externally_visible__));

void* operator new(std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__, __malloc__));
void* operator new[](std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__, __malloc__));
void operator delete(void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));

void* operator new(std::size_t, std::align_val_t)
  __attribute__((__externally_visible__));
void* operator new(std::size_t, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__, __malloc__));
void operator delete(void*, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete(void*, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__));
void* operator new[](std::size_t, std::align_val_t)
  __attribute__((__externally_visible__));
void* operator new[](std::size_t, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__, __malloc__));
void operator delete[](void*, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete[](void*, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__));

void operator delete(void*, std::size_t, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete[](void*, std::size_t, std::align_val_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 { }

}



namespace std
{


  template<typename _Tp>
    [[nodiscard]] constexpr _Tp*
    launder(_Tp* __p) noexcept
    { return __builtin_launder(__p); }




  template<typename _Ret, typename... _Args , bool _NE>
    void launder(_Ret (*)(_Args...) noexcept (_NE)) = delete;
  template<typename _Ret, typename... _Args , bool _NE>
    void launder(_Ret (*)(_Args......) noexcept (_NE)) = delete;

  void launder(void*) = delete;
  void launder(const void*) = delete;
  void launder(volatile void*) = delete;
  void launder(const volatile void*) = delete;
}





namespace std
{
  struct destroying_delete_t
  {
    explicit destroying_delete_t() = default;
  };
  inline constexpr destroying_delete_t destroying_delete{};
}


#pragma GCC visibility pop
# 34 "/opt/sutton/include/c++/9.0.0/ext/new_allocator.h" 2 3






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


  using std::size_t;
  using std::ptrdiff_t;
# 57 "/opt/sutton/include/c++/9.0.0/ext/new_allocator.h" 3
  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; };




      typedef std::true_type propagate_on_container_move_assignment;


      constexpr
      new_allocator() noexcept { }

      constexpr
      new_allocator(const new_allocator&) noexcept { }

      template<typename _Tp1>
 constexpr
 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* = static_cast<const void*>(0))
      {
 if (__n > this->max_size())
   std::__throw_bad_alloc();


 if (alignof(_Tp) > 16)
   {
     std::align_val_t __al = std::align_val_t(alignof(_Tp));
     return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp), __al));
   }

 return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
      }


      void
      deallocate(pointer __p, size_type)
      {

 if (alignof(_Tp) > 16)
   {
     ::operator delete(__p, std::align_val_t(alignof(_Tp)));
     return;
   }

 ::operator delete(__p);
      }

      size_type
      max_size() const noexcept
      {

 return size_t(0x7fffffffffffffffL) / sizeof(_Tp);



      }


      template<typename _Up, typename... _Args>
 void
 construct(_Up* __p, _Args&&... __args)
 noexcept(noexcept(::new((void *)__p)
       _Up(std::forward<_Args>(__args)...)))
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }

      template<typename _Up>
 void
 destroy(_Up* __p)
 noexcept(noexcept( __p->~_Up()))
 { __p->~_Up(); }
# 165 "/opt/sutton/include/c++/9.0.0/ext/new_allocator.h" 3
      template<typename _Up>
 friend bool
 operator==(const new_allocator&, const new_allocator<_Up>&)
 noexcept
 { return true; }

      template<typename _Up>
 friend bool
 operator!=(const new_allocator&, const new_allocator<_Up>&)
 noexcept
 { return false; }
    };


}
# 34 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++allocator.h" 2 3


namespace std
{
# 47 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++allocator.h" 3
  template<typename _Tp>
    using __allocator_base = __gnu_cxx::new_allocator<_Tp>;
}
# 47 "/opt/sutton/include/c++/9.0.0/bits/allocator.h" 2 3
# 57 "/opt/sutton/include/c++/9.0.0/bits/allocator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{








  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; };




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;

      template<typename _Up, typename... _Args>
 void
 construct(_Up* __p, _Args&&... __args)
 noexcept(noexcept(::new((void *)__p)
       _Up(std::forward<_Args>(__args)...)))
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }

      template<typename _Up>
 void
 destroy(_Up* __p)
 noexcept(noexcept(__p->~_Up()))
 { __p->~_Up(); }

    };
# 111 "/opt/sutton/include/c++/9.0.0/bits/allocator.h" 3
  template<typename _Tp>
    class allocator : public __allocator_base<_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; };




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;




      constexpr
      allocator() noexcept { }

      constexpr
      allocator(const allocator& __a) noexcept
      : __allocator_base<_Tp>(__a) { }



      allocator& operator=(const allocator&) = default;


      template<typename _Tp1>
 constexpr
 allocator(const allocator<_Tp1>&) noexcept { }

      ~allocator() noexcept { }

      friend bool
      operator==(const allocator&, const allocator&) noexcept
      { return true; }

      friend bool
      operator!=(const allocator&, const allocator&) noexcept
      { return false; }


    };

  template<typename _T1, typename _T2>
    inline bool
    operator==(const allocator<_T1>&, const allocator<_T2>&)
    noexcept
    { return true; }

  template<typename _T1, typename _T2>
    inline bool
    operator!=(const allocator<_T1>&, const allocator<_T2>&)
    noexcept
    { return false; }



  template<typename _Tp>
    class allocator<const _Tp>
    {
    public:
      typedef _Tp value_type;
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };

  template<typename _Tp>
    class allocator<volatile _Tp>
    {
    public:
      typedef _Tp value_type;
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };

  template<typename _Tp>
    class allocator<const volatile _Tp>
    {
    public:
      typedef _Tp value_type;
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };






  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&) noexcept { } };

  template<typename _Alloc>
    struct __alloc_swap<_Alloc, false>
    {
      static void
      _S_do_it(_Alloc& __one, _Alloc& __two) noexcept
      {

 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&) noexcept { return false; } };

  template<typename _Tp>
    struct __shrink_to_fit_aux<_Tp, true>
    {
      static bool
      _S_do_it(_Tp& __c) noexcept
      {

 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; }



      }
    };



}
# 42 "/opt/sutton/include/c++/9.0.0/string" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 3


# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++locale.h" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++locale.h" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++locale.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/clocale" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/clocale" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/clocale" 3


# 1 "/usr/include/locale.h" 1 3 4
# 28 "/usr/include/locale.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 29 "/usr/include/locale.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/locale.h" 1 3 4
# 30 "/usr/include/locale.h" 2 3 4

extern "C" {
# 51 "/usr/include/locale.h" 3 4
struct lconv
{


  char *decimal_point;
  char *thousands_sep;





  char *grouping;





  char *int_curr_symbol;
  char *currency_symbol;
  char *mon_decimal_point;
  char *mon_thousands_sep;
  char *mon_grouping;
  char *positive_sign;
  char *negative_sign;
  char int_frac_digits;
  char frac_digits;

  char p_cs_precedes;

  char p_sep_by_space;

  char n_cs_precedes;

  char n_sep_by_space;






  char p_sign_posn;
  char n_sign_posn;


  char int_p_cs_precedes;

  char int_p_sep_by_space;

  char int_n_cs_precedes;

  char int_n_sep_by_space;






  char int_p_sign_posn;
  char int_n_sign_posn;
# 118 "/usr/include/locale.h" 3 4
};



extern char *setlocale (int __category, const char *__locale) throw ();


extern struct lconv *localeconv (void) throw ();
# 141 "/usr/include/locale.h" 3 4
extern locale_t newlocale (int __category_mask, const char *__locale,
      locale_t __base) throw ();
# 176 "/usr/include/locale.h" 3 4
extern locale_t duplocale (locale_t __dataset) throw ();



extern void freelocale (locale_t __dataset) throw ();






extern locale_t uselocale (locale_t __dataset) throw ();







}
# 43 "/opt/sutton/include/c++/9.0.0/clocale" 2 3
# 51 "/opt/sutton/include/c++/9.0.0/clocale" 3
namespace std
{
  using ::lconv;
  using ::setlocale;
  using ::localeconv;
}
# 42 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++locale.h" 2 3






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


  extern "C" __typeof(uselocale) __uselocale;


}


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


  typedef __locale_t __c_locale;





  inline int
  __convert_from_v(const __c_locale& __cloc __attribute__ ((__unused__)),
     char* __out,
     const int __size __attribute__ ((__unused__)),
     const char* __fmt, ...)
  {

    __c_locale __old = __gnu_cxx::__uselocale(__cloc);
# 88 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/c++locale.h" 3
    __builtin_va_list __args;
    __builtin_va_start(__args, __fmt);


    const int __ret = __builtin_vsnprintf(__out, __size, __fmt, __args);




    __builtin_va_end(__args);


    __gnu_cxx::__uselocale(__old);







    return __ret;
  }


}
# 41 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/cctype" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cctype" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cctype" 3


# 1 "/usr/include/ctype.h" 1 3 4
# 28 "/usr/include/ctype.h" 3 4
extern "C" {
# 39 "/usr/include/ctype.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 36 "/usr/include/endian.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/endian.h" 1 3 4
# 37 "/usr/include/endian.h" 2 3 4
# 60 "/usr/include/endian.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 29 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 2 3 4






# 1 "/usr/include/x86_64-linux-gnu/bits/byteswap-16.h" 1 3 4
# 36 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 2 3 4
# 44 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
static __inline unsigned int
__bswap_32 (unsigned int __bsx)
{
  return __builtin_bswap32 (__bsx);
}
# 108 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{
  return __builtin_bswap64 (__bsx);
}
# 61 "/usr/include/endian.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 1 3 4
# 32 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 3 4
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 62 "/usr/include/endian.h" 2 3 4
# 40 "/usr/include/ctype.h" 2 3 4






enum
{
  _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
  _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
  _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
  _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
  _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
  _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
  _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
  _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
  _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
  _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
  _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
  _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
};
# 79 "/usr/include/ctype.h" 3 4
extern const unsigned short int **__ctype_b_loc (void)
     throw () __attribute__ ((__const__));
extern const __int32_t **__ctype_tolower_loc (void)
     throw () __attribute__ ((__const__));
extern const __int32_t **__ctype_toupper_loc (void)
     throw () __attribute__ ((__const__));
# 108 "/usr/include/ctype.h" 3 4
extern int isalnum (int) throw ();
extern int isalpha (int) throw ();
extern int iscntrl (int) throw ();
extern int isdigit (int) throw ();
extern int islower (int) throw ();
extern int isgraph (int) throw ();
extern int isprint (int) throw ();
extern int ispunct (int) throw ();
extern int isspace (int) throw ();
extern int isupper (int) throw ();
extern int isxdigit (int) throw ();



extern int tolower (int __c) throw ();


extern int toupper (int __c) throw ();




extern int isblank (int) throw ();




extern int isctype (int __c, int __mask) throw ();






extern int isascii (int __c) throw ();



extern int toascii (int __c) throw ();



extern int _toupper (int) throw ();
extern int _tolower (int) throw ();
# 251 "/usr/include/ctype.h" 3 4
extern int isalnum_l (int, locale_t) throw ();
extern int isalpha_l (int, locale_t) throw ();
extern int iscntrl_l (int, locale_t) throw ();
extern int isdigit_l (int, locale_t) throw ();
extern int islower_l (int, locale_t) throw ();
extern int isgraph_l (int, locale_t) throw ();
extern int isprint_l (int, locale_t) throw ();
extern int ispunct_l (int, locale_t) throw ();
extern int isspace_l (int, locale_t) throw ();
extern int isupper_l (int, locale_t) throw ();
extern int isxdigit_l (int, locale_t) throw ();

extern int isblank_l (int, locale_t) throw ();



extern int __tolower_l (int __c, locale_t __l) throw ();
extern int tolower_l (int __c, locale_t __l) throw ();


extern int __toupper_l (int __c, locale_t __l) throw ();
extern int toupper_l (int __c, locale_t __l) throw ();
# 327 "/usr/include/ctype.h" 3 4
}
# 43 "/opt/sutton/include/c++/9.0.0/cctype" 2 3
# 62 "/opt/sutton/include/c++/9.0.0/cctype" 3
namespace std
{
  using ::isalnum;
  using ::isalpha;
  using ::iscntrl;
  using ::isdigit;
  using ::isgraph;
  using ::islower;
  using ::isprint;
  using ::ispunct;
  using ::isspace;
  using ::isupper;
  using ::isxdigit;
  using ::tolower;
  using ::toupper;
}







namespace std
{
  using ::isblank;
}
# 43 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 2 3

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

# 55 "/opt/sutton/include/c++/9.0.0/bits/localefwd.h" 3
  class locale;

  template<typename _Facet>
    bool
    has_facet(const locale&) throw();

  template<typename _Facet>
    const _Facet&
    use_facet(const locale&);


  template<typename _CharT>
    bool
    isspace(_CharT, const locale&);

  template<typename _CharT>
    bool
    isprint(_CharT, const locale&);

  template<typename _CharT>
    bool
    iscntrl(_CharT, const locale&);

  template<typename _CharT>
    bool
    isupper(_CharT, const locale&);

  template<typename _CharT>
    bool
    islower(_CharT, const locale&);

  template<typename _CharT>
    bool
    isalpha(_CharT, const locale&);

  template<typename _CharT>
    bool
    isdigit(_CharT, const locale&);

  template<typename _CharT>
    bool
    ispunct(_CharT, const locale&);

  template<typename _CharT>
    bool
    isxdigit(_CharT, const locale&);

  template<typename _CharT>
    bool
    isalnum(_CharT, const locale&);

  template<typename _CharT>
    bool
    isgraph(_CharT, const locale&);


  template<typename _CharT>
    bool
    isblank(_CharT, const locale&);


  template<typename _CharT>
    _CharT
    toupper(_CharT, const locale&);

  template<typename _CharT>
    _CharT
    tolower(_CharT, const locale&);


  class ctype_base;
  template<typename _CharT>
    class ctype;
  template<> class ctype<char>;

  template<> class ctype<wchar_t>;

  template<typename _CharT>
    class ctype_byname;


  class codecvt_base;
  template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt;
  template<> class codecvt<char, char, mbstate_t>;

  template<> class codecvt<wchar_t, char, mbstate_t>;

  template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt_byname;



  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class num_get;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class num_put;

namespace __cxx11 {
  template<typename _CharT> class numpunct;
  template<typename _CharT> class numpunct_byname;
}

namespace __cxx11 {

  template<typename _CharT>
    class collate;
  template<typename _CharT>
    class collate_byname;
}


  class time_base;
namespace __cxx11 {
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class time_get;
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class time_get_byname;
}
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class time_put;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class time_put_byname;


  class money_base;
namespace __cxx11 {
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class money_get;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class money_put;
}
namespace __cxx11 {
  template<typename _CharT, bool _Intl = false>
    class moneypunct;
  template<typename _CharT, bool _Intl = false>
    class moneypunct_byname;
}


  class messages_base;
namespace __cxx11 {
  template<typename _CharT>
    class messages;
  template<typename _CharT>
    class messages_byname;
}


}
# 44 "/opt/sutton/include/c++/9.0.0/string" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/ostream_insert.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/ostream_insert.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/ostream_insert.h" 3


# 1 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_forced.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_forced.h" 3
       
# 35 "/opt/sutton/include/c++/9.0.0/bits/cxxabi_forced.h" 3

#pragma GCC visibility push(default)


namespace __cxxabiv1
{







  class __forced_unwind
  {
    virtual ~__forced_unwind() throw();


    virtual void __pure_dummy() = 0;
  };
}


#pragma GCC visibility pop
# 37 "/opt/sutton/include/c++/9.0.0/bits/ostream_insert.h" 2 3

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


  template<typename _CharT, typename _Traits>
    inline void
    __ostream_write(basic_ostream<_CharT, _Traits>& __out,
      const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const streamsize __put = __out.rdbuf()->sputn(__s, __n);
      if (__put != __n)
 __out.setstate(__ios_base::badbit);
    }

  template<typename _CharT, typename _Traits>
    inline void
    __ostream_fill(basic_ostream<_CharT, _Traits>& __out, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const _CharT __c = __out.fill();
      for (; __n > 0; --__n)
 {
   const typename _Traits::int_type __put = __out.rdbuf()->sputc(__c);
   if (_Traits::eq_int_type(__put, _Traits::eof()))
     {
       __out.setstate(__ios_base::badbit);
       break;
     }
 }
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    __ostream_insert(basic_ostream<_CharT, _Traits>& __out,
       const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      typename __ostream_type::sentry __cerb(__out);
      if (__cerb)
 {
   try
     {
       const streamsize __w = __out.width();
       if (__w > __n)
  {
    const bool __left = ((__out.flags()
     & __ios_base::adjustfield)
           == __ios_base::left);
    if (!__left)
      __ostream_fill(__out, __w - __n);
    if (__out.good())
      __ostream_write(__out, __s, __n);
    if (__left && __out.good())
      __ostream_fill(__out, __w - __n);
  }
       else
  __ostream_write(__out, __s, __n);
       __out.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __out._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     { __out._M_setstate(__ios_base::badbit); }
 }
      return __out;
    }




  extern template ostream& __ostream_insert(ostream&, const char*, streamsize);


  extern template wostream& __ostream_insert(wostream&, const wchar_t*,
          streamsize);




}
# 45 "/opt/sutton/include/c++/9.0.0/string" 2 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 1 3
# 63 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 104 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  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;
    };
# 144 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  struct __is_transparent;

  template<typename _Tp = void>
    struct plus;

  template<typename _Tp = void>
    struct minus;

  template<typename _Tp = void>
    struct multiplies;

  template<typename _Tp = void>
    struct divides;

  template<typename _Tp = void>
    struct modulus;

  template<typename _Tp = void>
    struct negate;



  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };


  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };


  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };


  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };


  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };


  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };





  template<>
    struct plus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) + std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct minus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) - std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct multiplies<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) * std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct divides<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) / std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct modulus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) % std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct negate<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(-std::forward<_Tp>(__t)))
 -> decltype(-std::forward<_Tp>(__t))
 { return -std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 330 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct equal_to;

  template<typename _Tp = void>
    struct not_equal_to;

  template<typename _Tp = void>
    struct greater;

  template<typename _Tp = void>
    struct less;

  template<typename _Tp = void>
    struct greater_equal;

  template<typename _Tp = void>
    struct less_equal;



  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      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>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };


  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };


  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };


  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };


  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };


  template<typename _Tp>
    struct greater<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x > __y))
   return __x > __y;
 return (long unsigned int)__x > (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x < __y))
   return __x < __y;
 return (long unsigned int)__x < (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct greater_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x >= __y))
   return __x >= __y;
 return (long unsigned int)__x >= (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x <= __y))
   return __x <= __y;
 return (long unsigned int)__x <= (long unsigned int)__y;
      }
    };



  template<>
    struct equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) == std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct not_equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) != std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct greater<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) > std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) < std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct greater_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };
# 750 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct logical_and;

  template<typename _Tp = void>
    struct logical_or;

  template<typename _Tp = void>
    struct logical_not;



  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };


  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };


  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };



  template<>
    struct logical_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) && std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) || std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) || std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) || std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(!std::forward<_Tp>(__t)))
 -> decltype(!std::forward<_Tp>(__t))
 { return !std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };




  template<typename _Tp = void>
    struct bit_and;

  template<typename _Tp = void>
    struct bit_or;

  template<typename _Tp = void>
    struct bit_xor;

  template<typename _Tp = void>
    struct bit_not;




  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };

  template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };

  template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };

  template<typename _Tp>
    struct bit_not : public unary_function<_Tp, _Tp>
    {
    constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return ~__x; }
    };


  template <>
    struct bit_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) & std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) | std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) | std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) | std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_xor<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(~std::forward<_Tp>(__t)))
 -> decltype(~std::forward<_Tp>(__t))
 { return ~std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 978 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  template<typename _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };


  template<typename _Predicate>
    constexpr
    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:
      constexpr
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      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>
    constexpr
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
# 1055 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  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
    : public unary_function<_Tp, _Tp>
    {
      _Tp&
      operator()(_Tp& __x) const
      { return __x; }

      const _Tp&
      operator()(const _Tp& __x) const
      { return __x; }
    };


  template<typename _Tp> struct _Identity<const _Tp> : _Identity<_Tp> { };

  template<typename _Pair>
    struct _Select1st
    : public unary_function<_Pair, typename _Pair::first_type>
    {
      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
    : public unary_function<_Pair, typename _Pair::second_type>
    {
      typename _Pair::second_type&
      operator()(_Pair& __x) const
      { return __x.second; }

      const typename _Pair::second_type&
      operator()(const _Pair& __x) const
      { return __x.second; }
    };
# 1178 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 3
  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); }




}


# 1 "/opt/sutton/include/c++/9.0.0/backward/binders.h" 1 3
# 60 "/opt/sutton/include/c++/9.0.0/backward/binders.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

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

# 107 "/opt/sutton/include/c++/9.0.0/backward/binders.h" 3
  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));
    }



}

#pragma GCC diagnostic pop
# 1369 "/opt/sutton/include/c++/9.0.0/bits/stl_function.h" 2 3
# 49 "/opt/sutton/include/c++/9.0.0/string" 2 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 1 3
# 59 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/cstdlib" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
# 75 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
# 1 "/usr/include/stdlib.h" 1 3 4
# 25 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 26 "/usr/include/stdlib.h" 2 3 4





# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 32 "/usr/include/stdlib.h" 2 3 4

extern "C" {





# 1 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 1 3 4
# 52 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 3 4
typedef enum
{
  P_ALL,
  P_PID,
  P_PGID
} idtype_t;
# 40 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 1 3 4
# 41 "/usr/include/stdlib.h" 2 3 4
# 58 "/usr/include/stdlib.h" 3 4
typedef struct
  {
    int quot;
    int rem;
  } div_t;



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





__extension__ typedef struct
  {
    long long int quot;
    long long int rem;
  } lldiv_t;
# 97 "/usr/include/stdlib.h" 3 4
extern size_t __ctype_get_mb_cur_max (void) throw () ;



extern double atof (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern int atoi (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern long int atol (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



__extension__ extern long long int atoll (const char *__nptr)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) throw () __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));
# 140 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     throw () __attribute__ ((__nonnull__ (1)));
# 176 "/usr/include/stdlib.h" 3 4
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     throw () __attribute__ ((__nonnull__ (1)));




extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     throw () __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     throw () __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     throw () __attribute__ ((__nonnull__ (3)));
# 232 "/usr/include/stdlib.h" 3 4
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     throw () __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     throw () __attribute__ ((__nonnull__ (3)));
# 274 "/usr/include/stdlib.h" 3 4
extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) throw () __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 4)));

extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));
# 316 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     throw () __attribute__ ((__nonnull__ (1, 3)));
# 385 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) throw () ;


extern long int a64l (const char *__s)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;




# 1 "/usr/include/x86_64-linux-gnu/sys/types.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
extern "C" {





typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;




typedef __loff_t loff_t;



typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;




typedef __pid_t pid_t;





typedef __id_t id_t;




typedef __ssize_t ssize_t;





typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;




# 1 "/usr/include/x86_64-linux-gnu/bits/types/clock_t.h" 1 3 4






typedef __clock_t clock_t;
# 128 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h" 1 3 4






typedef __clockid_t clockid_t;
# 130 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h" 1 3 4






typedef __time_t time_t;
# 131 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/timer_t.h" 1 3 4






typedef __timer_t timer_t;
# 132 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 146 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
# 178 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef unsigned int u_int8_t __attribute__ ((__mode__ (__QI__)));
typedef unsigned int u_int16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int u_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int u_int64_t __attribute__ ((__mode__ (__DI__)));

typedef int register_t __attribute__ ((__mode__ (__word__)));
# 197 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/sys/select.h" 1 3 4
# 30 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/select.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/select.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/select.h" 2 3 4
# 31 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 1 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h" 1 3 4




typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 2 3 4


typedef __sigset_t sigset_t;
# 34 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h" 1 3 4







struct timeval
{
  __time_t tv_sec;
  __suseconds_t tv_usec;
};
# 38 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 1 3 4







struct timespec
{
  __time_t tv_sec;
  __syscall_slong_t tv_nsec;
};
# 40 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
# 49 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
typedef long int __fd_mask;
# 59 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];





  } fd_set;






typedef __fd_mask fd_mask;
# 91 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern "C" {
# 101 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
# 113 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);
# 126 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
}
# 198 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4







# 1 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 1 3 4
# 41 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/sysmacros.h" 1 3 4
# 42 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 2 3 4
# 71 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
extern "C" {

extern unsigned int gnu_dev_major (__dev_t __dev) throw () __attribute__ ((__const__));
extern unsigned int gnu_dev_minor (__dev_t __dev) throw () __attribute__ ((__const__));
extern __dev_t gnu_dev_makedev (unsigned int __major, unsigned int __minor) throw () __attribute__ ((__const__));
# 85 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
}
# 206 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4






typedef __blksize_t blksize_t;






typedef __blkcnt_t blkcnt_t;



typedef __fsblkcnt_t fsblkcnt_t;



typedef __fsfilcnt_t fsfilcnt_t;
# 246 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;





# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 1 3 4
# 77 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 2 3 4
# 65 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;

  int __cur_writer;
  int __shared;
  signed char __rwelision;




  unsigned char __pad1[7];


  unsigned long int __pad2;


  unsigned int __flags;
# 99 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
};
# 78 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
# 118 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
struct __pthread_mutex_s
{
  int __lock ;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;



  int __kind;
 




  short __spins; short __elision;
  __pthread_list_t __list;
# 145 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
 
};




struct __pthread_cond_s
{
  __extension__ union
  {
    __extension__ unsigned long long int __wseq;
    struct
    {
      unsigned int __low;
      unsigned int __high;
    } __wseq32;
  };
  __extension__ union
  {
    __extension__ unsigned long long int __g1_start;
    struct
    {
      unsigned int __low;
      unsigned int __high;
    } __g1_start32;
  };
  unsigned int __g_refs[2] ;
  unsigned int __g_size[2];
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
};
# 24 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 2 3 4



typedef unsigned long int pthread_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[56];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;




typedef union
{
  struct __pthread_mutex_s __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __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;
# 255 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4


}
# 395 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) throw ();


extern void srandom (unsigned int __seed) throw ();





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) throw () __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) throw () __attribute__ ((__nonnull__ (1)));







struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };

extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     throw () __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     throw () __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     throw () __attribute__ ((__nonnull__ (1, 2)));





extern int rand (void) throw ();

extern void srand (unsigned int __seed) throw ();



extern int rand_r (unsigned int *__seed) throw ();







extern double drand48 (void) throw ();
extern double erand48 (unsigned short int __xsubi[3]) throw () __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) throw ();
extern long int nrand48 (unsigned short int __xsubi[3])
     throw () __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) throw ();
extern long int jrand48 (unsigned short int __xsubi[3])
     throw () __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) throw ();
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     throw () __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) throw () __attribute__ ((__nonnull__ (1)));





struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    __extension__ unsigned long long int __a;

  };


extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     throw () __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) throw () __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern void *malloc (size_t __size) throw () __attribute__ ((__malloc__)) ;

extern void *calloc (size_t __nmemb, size_t __size)
     throw () __attribute__ ((__malloc__)) ;






extern void *realloc (void *__ptr, size_t __size)
     throw () __attribute__ ((__warn_unused_result__));







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     throw () __attribute__ ((__warn_unused_result__));



extern void free (void *__ptr) throw ();


# 1 "/usr/include/alloca.h" 1 3 4
# 24 "/usr/include/alloca.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) throw ();





}
# 567 "/usr/include/stdlib.h" 2 3 4





extern void *valloc (size_t __size) throw () __attribute__ ((__malloc__)) ;




extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     throw () __attribute__ ((__nonnull__ (1))) ;




extern void *aligned_alloc (size_t __alignment, size_t __size)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (2))) ;



extern void abort (void) throw () __attribute__ ((__noreturn__));



extern int atexit (void (*__func) (void)) throw () __attribute__ ((__nonnull__ (1)));




extern "C++" int at_quick_exit (void (*__func) (void))
     throw () __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 607 "/usr/include/stdlib.h" 3 4
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     throw () __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) throw () __attribute__ ((__noreturn__));





extern void quick_exit (int __status) throw () __attribute__ ((__noreturn__));





extern void _Exit (int __status) throw () __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) throw () __attribute__ ((__nonnull__ (1))) ;




extern char *secure_getenv (const char *__name)
     throw () __attribute__ ((__nonnull__ (1))) ;






extern int putenv (char *__string) throw () __attribute__ ((__nonnull__ (1)));





extern int setenv (const char *__name, const char *__value, int __replace)
     throw () __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) throw () __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) throw ();
# 672 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) throw () __attribute__ ((__nonnull__ (1)));
# 685 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 695 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 707 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 717 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 728 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) throw () __attribute__ ((__nonnull__ (1))) ;
# 739 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 749 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 759 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 771 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 781 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;





extern char *canonicalize_file_name (const char *__name)
     throw () __attribute__ ((__nonnull__ (1))) ;
# 797 "/usr/include/stdlib.h" 3 4
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) throw () ;






typedef int (*__compar_fn_t) (const void *, const void *);


typedef __compar_fn_t comparison_fn_t;



typedef int (*__compar_d_fn_t) (const void *, const void *, void *);




extern void *bsearch (const void *__key, const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) ;







extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));

extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
       __compar_d_fn_t __compar, void *__arg)
  __attribute__ ((__nonnull__ (1, 4)));




extern int abs (int __x) throw () __attribute__ ((__const__)) ;
extern long int labs (long int __x) throw () __attribute__ ((__const__)) ;


__extension__ extern long long int llabs (long long int __x)
     throw () __attribute__ ((__const__)) ;






extern div_t div (int __numer, int __denom)
     throw () __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
     throw () __attribute__ ((__const__)) ;


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     throw () __attribute__ ((__const__)) ;
# 869 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) throw () __attribute__ ((__nonnull__ (3, 4))) ;




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) throw () __attribute__ ((__nonnull__ (3, 4))) ;




extern char *gcvt (double __value, int __ndigit, char *__buf)
     throw () __attribute__ ((__nonnull__ (3))) ;




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     throw () __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     throw () __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     throw () __attribute__ ((__nonnull__ (3))) ;




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) throw () __attribute__ ((__nonnull__ (3, 4, 5)));
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) throw () __attribute__ ((__nonnull__ (3, 4, 5)));

extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));





extern int mblen (const char *__s, size_t __n) throw ();


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) throw ();


extern int wctomb (char *__s, wchar_t __wchar) throw ();



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) throw ();

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     throw ();







extern int rpmatch (const char *__response) throw () __attribute__ ((__nonnull__ (1))) ;
# 954 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     throw () __attribute__ ((__nonnull__ (1, 2, 3))) ;





extern void setkey (const char *__key) throw () __attribute__ ((__nonnull__ (1)));







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) throw ();



extern int unlockpt (int __fd) throw ();




extern char *ptsname (int __fd) throw () ;






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     throw () __attribute__ ((__nonnull__ (1)));
# 1016 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 1017 "/usr/include/stdlib.h" 2 3 4
# 1026 "/usr/include/stdlib.h" 3 4
}
# 76 "/opt/sutton/include/c++/9.0.0/cstdlib" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/std_abs.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/std_abs.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/std_abs.h" 3
# 46 "/opt/sutton/include/c++/9.0.0/bits/std_abs.h" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }







  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }
# 106 "/opt/sutton/include/c++/9.0.0/bits/std_abs.h" 3

}
}
# 78 "/opt/sutton/include/c++/9.0.0/cstdlib" 2 3
# 121 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;

  using ::aligned_alloc;

  using ::atexit;


  using ::at_quick_exit;


  using ::atof;
  using ::atoi;
  using ::atol;
  using ::bsearch;
  using ::calloc;
  using ::div;
  using ::exit;
  using ::free;
  using ::getenv;
  using ::labs;
  using ::ldiv;
  using ::malloc;

  using ::mblen;
  using ::mbstowcs;
  using ::mbtowc;

  using ::qsort;


  using ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



  inline ldiv_t
  div(long __i, long __j) { return ldiv(__i, __j); }




}
# 195 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  using ::lldiv_t;





  using ::_Exit;



  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
# 227 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
  using ::atoll;
  using ::strtoll;
  using ::strtoull;

  using ::strtof;
  using ::strtold;


}

namespace std
{

  using ::__gnu_cxx::lldiv_t;

  using ::__gnu_cxx::_Exit;

  using ::__gnu_cxx::llabs;
  using ::__gnu_cxx::div;
  using ::__gnu_cxx::lldiv;

  using ::__gnu_cxx::atoll;
  using ::__gnu_cxx::strtof;
  using ::__gnu_cxx::strtoll;
  using ::__gnu_cxx::strtoull;
  using ::__gnu_cxx::strtold;
}



}
# 60 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
# 42 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 195 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
  template<typename _IIter, typename _Predicate>
    bool
    all_of(_IIter, _IIter, _Predicate);

  template<typename _IIter, typename _Predicate>
    bool
    any_of(_IIter, _IIter, _Predicate);


  template<typename _FIter, typename _Tp>
    bool
    binary_search(_FIter, _FIter, const _Tp&);

  template<typename _FIter, typename _Tp, typename _Compare>
    bool
    binary_search(_FIter, _FIter, const _Tp&, _Compare);


  template<typename _Tp>
    constexpr
    const _Tp&
    clamp(const _Tp&, const _Tp&, const _Tp&);

  template<typename _Tp, typename _Compare>
    constexpr
    const _Tp&
    clamp(const _Tp&, const _Tp&, const _Tp&, _Compare);


  template<typename _IIter, typename _OIter>
    _OIter
    copy(_IIter, _IIter, _OIter);

  template<typename _BIter1, typename _BIter2>
    _BIter2
    copy_backward(_BIter1, _BIter1, _BIter2);


  template<typename _IIter, typename _OIter, typename _Predicate>
    _OIter
    copy_if(_IIter, _IIter, _OIter, _Predicate);

  template<typename _IIter, typename _Size, typename _OIter>
    _OIter
    copy_n(_IIter, _Size, _OIter);





  template<typename _FIter, typename _Tp>
    pair<_FIter, _FIter>
    equal_range(_FIter, _FIter, const _Tp&);

  template<typename _FIter, typename _Tp, typename _Compare>
    pair<_FIter, _FIter>
    equal_range(_FIter, _FIter, const _Tp&, _Compare);

  template<typename _FIter, typename _Tp>
    void
    fill(_FIter, _FIter, const _Tp&);

  template<typename _OIter, typename _Size, typename _Tp>
    _OIter
    fill_n(_OIter, _Size, const _Tp&);



  template<typename _FIter1, typename _FIter2>
    _FIter1
    find_end(_FIter1, _FIter1, _FIter2, _FIter2);

  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
    _FIter1
    find_end(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);





  template<typename _IIter, typename _Predicate>
    _IIter
    find_if_not(_IIter, _IIter, _Predicate);






  template<typename _IIter1, typename _IIter2>
    bool
    includes(_IIter1, _IIter1, _IIter2, _IIter2);

  template<typename _IIter1, typename _IIter2, typename _Compare>
    bool
    includes(_IIter1, _IIter1, _IIter2, _IIter2, _Compare);

  template<typename _BIter>
    void
    inplace_merge(_BIter, _BIter, _BIter);

  template<typename _BIter, typename _Compare>
    void
    inplace_merge(_BIter, _BIter, _BIter, _Compare);


  template<typename _RAIter>
    bool
    is_heap(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    bool
    is_heap(_RAIter, _RAIter, _Compare);

  template<typename _RAIter>
    _RAIter
    is_heap_until(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    _RAIter
    is_heap_until(_RAIter, _RAIter, _Compare);

  template<typename _IIter, typename _Predicate>
    bool
    is_partitioned(_IIter, _IIter, _Predicate);

  template<typename _FIter1, typename _FIter2>
    bool
    is_permutation(_FIter1, _FIter1, _FIter2);

  template<typename _FIter1, typename _FIter2,
    typename _BinaryPredicate>
    bool
    is_permutation(_FIter1, _FIter1, _FIter2, _BinaryPredicate);

  template<typename _FIter>
    bool
    is_sorted(_FIter, _FIter);

  template<typename _FIter, typename _Compare>
    bool
    is_sorted(_FIter, _FIter, _Compare);

  template<typename _FIter>
    _FIter
    is_sorted_until(_FIter, _FIter);

  template<typename _FIter, typename _Compare>
    _FIter
    is_sorted_until(_FIter, _FIter, _Compare);


  template<typename _FIter1, typename _FIter2>
    void
    iter_swap(_FIter1, _FIter2);

  template<typename _FIter, typename _Tp>
    _FIter
    lower_bound(_FIter, _FIter, const _Tp&);

  template<typename _FIter, typename _Tp, typename _Compare>
    _FIter
    lower_bound(_FIter, _FIter, const _Tp&, _Compare);

  template<typename _RAIter>
    void
    make_heap(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    make_heap(_RAIter, _RAIter, _Compare);

  template<typename _Tp>
    constexpr
    const _Tp&
    max(const _Tp&, const _Tp&);

  template<typename _Tp, typename _Compare>
    constexpr
    const _Tp&
    max(const _Tp&, const _Tp&, _Compare);




  template<typename _Tp>
    constexpr
    const _Tp&
    min(const _Tp&, const _Tp&);

  template<typename _Tp, typename _Compare>
    constexpr
    const _Tp&
    min(const _Tp&, const _Tp&, _Compare);




  template<typename _Tp>
    constexpr
    pair<const _Tp&, const _Tp&>
    minmax(const _Tp&, const _Tp&);

  template<typename _Tp, typename _Compare>
    constexpr
    pair<const _Tp&, const _Tp&>
    minmax(const _Tp&, const _Tp&, _Compare);

  template<typename _FIter>
    constexpr
    pair<_FIter, _FIter>
    minmax_element(_FIter, _FIter);

  template<typename _FIter, typename _Compare>
    constexpr
    pair<_FIter, _FIter>
    minmax_element(_FIter, _FIter, _Compare);

  template<typename _Tp>
    constexpr
    _Tp
    min(initializer_list<_Tp>);

  template<typename _Tp, typename _Compare>
    constexpr
    _Tp
    min(initializer_list<_Tp>, _Compare);

  template<typename _Tp>
    constexpr
    _Tp
    max(initializer_list<_Tp>);

  template<typename _Tp, typename _Compare>
    constexpr
    _Tp
    max(initializer_list<_Tp>, _Compare);

  template<typename _Tp>
    constexpr
    pair<_Tp, _Tp>
    minmax(initializer_list<_Tp>);

  template<typename _Tp, typename _Compare>
    constexpr
    pair<_Tp, _Tp>
    minmax(initializer_list<_Tp>, _Compare);




  template<typename _BIter>
    bool
    next_permutation(_BIter, _BIter);

  template<typename _BIter, typename _Compare>
    bool
    next_permutation(_BIter, _BIter, _Compare);


  template<typename _IIter, typename _Predicate>
    bool
    none_of(_IIter, _IIter, _Predicate);





  template<typename _IIter, typename _RAIter>
    _RAIter
    partial_sort_copy(_IIter, _IIter, _RAIter, _RAIter);

  template<typename _IIter, typename _RAIter, typename _Compare>
    _RAIter
    partial_sort_copy(_IIter, _IIter, _RAIter, _RAIter, _Compare);




  template<typename _IIter, typename _OIter1,
    typename _OIter2, typename _Predicate>
    pair<_OIter1, _OIter2>
    partition_copy(_IIter, _IIter, _OIter1, _OIter2, _Predicate);

  template<typename _FIter, typename _Predicate>
    _FIter
    partition_point(_FIter, _FIter, _Predicate);


  template<typename _RAIter>
    void
    pop_heap(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    pop_heap(_RAIter, _RAIter, _Compare);

  template<typename _BIter>
    bool
    prev_permutation(_BIter, _BIter);

  template<typename _BIter, typename _Compare>
    bool
    prev_permutation(_BIter, _BIter, _Compare);

  template<typename _RAIter>
    void
    push_heap(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    push_heap(_RAIter, _RAIter, _Compare);



  template<typename _FIter, typename _Tp>
    _FIter
    remove(_FIter, _FIter, const _Tp&);

  template<typename _FIter, typename _Predicate>
    _FIter
    remove_if(_FIter, _FIter, _Predicate);

  template<typename _IIter, typename _OIter, typename _Tp>
    _OIter
    remove_copy(_IIter, _IIter, _OIter, const _Tp&);

  template<typename _IIter, typename _OIter, typename _Predicate>
    _OIter
    remove_copy_if(_IIter, _IIter, _OIter, _Predicate);



  template<typename _IIter, typename _OIter, typename _Tp>
    _OIter
    replace_copy(_IIter, _IIter, _OIter, const _Tp&, const _Tp&);

  template<typename _Iter, typename _OIter, typename _Predicate, typename _Tp>
    _OIter
    replace_copy_if(_Iter, _Iter, _OIter, _Predicate, const _Tp&);



  template<typename _BIter>
    void
    reverse(_BIter, _BIter);

  template<typename _BIter, typename _OIter>
    _OIter
    reverse_copy(_BIter, _BIter, _OIter);

  inline namespace _V2
  {
    template<typename _FIter>
      _FIter
      rotate(_FIter, _FIter, _FIter);
  }

  template<typename _FIter, typename _OIter>
    _OIter
    rotate_copy(_FIter, _FIter, _FIter, _OIter);
# 565 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
  template<typename _RAIter, typename _UGenerator>
    void
    shuffle(_RAIter, _RAIter, _UGenerator&&);


  template<typename _RAIter>
    void
    sort_heap(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    sort_heap(_RAIter, _RAIter, _Compare);

  template<typename _BIter, typename _Predicate>
    _BIter
    stable_partition(_BIter, _BIter, _Predicate);
# 594 "/opt/sutton/include/c++/9.0.0/bits/algorithmfwd.h" 3
  template<typename _FIter1, typename _FIter2>
    _FIter2
    swap_ranges(_FIter1, _FIter1, _FIter2);



  template<typename _FIter>
    _FIter
    unique(_FIter, _FIter);

  template<typename _FIter, typename _BinaryPredicate>
    _FIter
    unique(_FIter, _FIter, _BinaryPredicate);



  template<typename _FIter, typename _Tp>
    _FIter
    upper_bound(_FIter, _FIter, const _Tp&);

  template<typename _FIter, typename _Tp, typename _Compare>
    _FIter
    upper_bound(_FIter, _FIter, const _Tp&, _Compare);



  template<typename _FIter>
    _FIter
    adjacent_find(_FIter, _FIter);

  template<typename _FIter, typename _BinaryPredicate>
    _FIter
    adjacent_find(_FIter, _FIter, _BinaryPredicate);

  template<typename _IIter, typename _Tp>
    typename iterator_traits<_IIter>::difference_type
    count(_IIter, _IIter, const _Tp&);

  template<typename _IIter, typename _Predicate>
    typename iterator_traits<_IIter>::difference_type
    count_if(_IIter, _IIter, _Predicate);

  template<typename _IIter1, typename _IIter2>
    bool
    equal(_IIter1, _IIter1, _IIter2);

  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    bool
    equal(_IIter1, _IIter1, _IIter2, _BinaryPredicate);

  template<typename _IIter, typename _Tp>
    _IIter
    find(_IIter, _IIter, const _Tp&);

  template<typename _FIter1, typename _FIter2>
    _FIter1
    find_first_of(_FIter1, _FIter1, _FIter2, _FIter2);

  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
    _FIter1
    find_first_of(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);

  template<typename _IIter, typename _Predicate>
    _IIter
    find_if(_IIter, _IIter, _Predicate);

  template<typename _IIter, typename _Funct>
    _Funct
    for_each(_IIter, _IIter, _Funct);

  template<typename _FIter, typename _Generator>
    void
    generate(_FIter, _FIter, _Generator);

  template<typename _OIter, typename _Size, typename _Generator>
    _OIter
    generate_n(_OIter, _Size, _Generator);

  template<typename _IIter1, typename _IIter2>
    bool
    lexicographical_compare(_IIter1, _IIter1, _IIter2, _IIter2);

  template<typename _IIter1, typename _IIter2, typename _Compare>
    bool
    lexicographical_compare(_IIter1, _IIter1, _IIter2, _IIter2, _Compare);

  template<typename _FIter>
    constexpr
    _FIter
    max_element(_FIter, _FIter);

  template<typename _FIter, typename _Compare>
    constexpr
    _FIter
    max_element(_FIter, _FIter, _Compare);

  template<typename _IIter1, typename _IIter2, typename _OIter>
    _OIter
    merge(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _Compare>
    _OIter
    merge(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);

  template<typename _FIter>
    constexpr
    _FIter
    min_element(_FIter, _FIter);

  template<typename _FIter, typename _Compare>
    constexpr
    _FIter
    min_element(_FIter, _FIter, _Compare);

  template<typename _IIter1, typename _IIter2>
    pair<_IIter1, _IIter2>
    mismatch(_IIter1, _IIter1, _IIter2);

  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    pair<_IIter1, _IIter2>
    mismatch(_IIter1, _IIter1, _IIter2, _BinaryPredicate);

  template<typename _RAIter>
    void
    nth_element(_RAIter, _RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    nth_element(_RAIter, _RAIter, _RAIter, _Compare);

  template<typename _RAIter>
    void
    partial_sort(_RAIter, _RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    partial_sort(_RAIter, _RAIter, _RAIter, _Compare);

  template<typename _BIter, typename _Predicate>
    _BIter
    partition(_BIter, _BIter, _Predicate);

  template<typename _RAIter>
    void
    random_shuffle(_RAIter, _RAIter);

  template<typename _RAIter, typename _Generator>
    void
    random_shuffle(_RAIter, _RAIter,

     _Generator&&);




  template<typename _FIter, typename _Tp>
    void
    replace(_FIter, _FIter, const _Tp&, const _Tp&);

  template<typename _FIter, typename _Predicate, typename _Tp>
    void
    replace_if(_FIter, _FIter, _Predicate, const _Tp&);

  template<typename _FIter1, typename _FIter2>
    _FIter1
    search(_FIter1, _FIter1, _FIter2, _FIter2);

  template<typename _FIter1, typename _FIter2, typename _BinaryPredicate>
    _FIter1
    search(_FIter1, _FIter1, _FIter2, _FIter2, _BinaryPredicate);

  template<typename _FIter, typename _Size, typename _Tp>
    _FIter
    search_n(_FIter, _FIter, _Size, const _Tp&);

  template<typename _FIter, typename _Size, typename _Tp,
    typename _BinaryPredicate>
    _FIter
    search_n(_FIter, _FIter, _Size, const _Tp&, _BinaryPredicate);

  template<typename _IIter1, typename _IIter2, typename _OIter>
    _OIter
    set_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _Compare>
    _OIter
    set_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);

  template<typename _IIter1, typename _IIter2, typename _OIter>
    _OIter
    set_intersection(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _Compare>
    _OIter
    set_intersection(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);

  template<typename _IIter1, typename _IIter2, typename _OIter>
    _OIter
    set_symmetric_difference(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _Compare>
    _OIter
    set_symmetric_difference(_IIter1, _IIter1, _IIter2, _IIter2,
        _OIter, _Compare);

  template<typename _IIter1, typename _IIter2, typename _OIter>
    _OIter
    set_union(_IIter1, _IIter1, _IIter2, _IIter2, _OIter);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _Compare>
    _OIter
    set_union(_IIter1, _IIter1, _IIter2, _IIter2, _OIter, _Compare);

  template<typename _RAIter>
    void
    sort(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    sort(_RAIter, _RAIter, _Compare);

  template<typename _RAIter>
    void
    stable_sort(_RAIter, _RAIter);

  template<typename _RAIter, typename _Compare>
    void
    stable_sort(_RAIter, _RAIter, _Compare);

  template<typename _IIter, typename _OIter, typename _UnaryOperation>
    _OIter
    transform(_IIter, _IIter, _OIter, _UnaryOperation);

  template<typename _IIter1, typename _IIter2, typename _OIter,
    typename _BinaryOperation>
    _OIter
    transform(_IIter1, _IIter1, _IIter2, _OIter, _BinaryOperation);

  template<typename _IIter, typename _OIter>
    _OIter
    unique_copy(_IIter, _IIter, _OIter);

  template<typename _IIter, typename _OIter, typename _BinaryPredicate>
    _OIter
    unique_copy(_IIter, _IIter, _OIter, _BinaryPredicate);



}
# 61 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 1 3
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _RandomAccessIterator, typename _Distance,
    typename _Compare>
    _Distance
    __is_heap_until(_RandomAccessIterator __first, _Distance __n,
      _Compare& __comp)
    {
      _Distance __parent = 0;
      for (_Distance __child = 1; __child < __n; ++__child)
 {
   if (__comp(__first + __parent, __first + __child))
     return __child;
   if ((__child & 1) == 0)
     ++__parent;
 }
      return __n;
    }



  template<typename _RandomAccessIterator, typename _Distance>
    inline bool
    __is_heap(_RandomAccessIterator __first, _Distance __n)
    {
      __gnu_cxx::__ops::_Iter_less_iter __comp;
      return std::__is_heap_until(__first, __n, __comp) == __n;
    }

  template<typename _RandomAccessIterator, typename _Compare,
    typename _Distance>
    inline bool
    __is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n)
    {
      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
      return std::__is_heap_until(__first, __n, __cmp) == __n;
    }

  template<typename _RandomAccessIterator>
    inline bool
    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    { return std::__is_heap(__first, std::distance(__first, __last)); }

  template<typename _RandomAccessIterator, typename _Compare>
    inline bool
    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Compare __comp)
    {
      return std::__is_heap(__first, std::move(__comp),
       std::distance(__first, __last));
    }




  template<typename _RandomAccessIterator, typename _Distance, typename _Tp,
    typename _Compare>
    void
    __push_heap(_RandomAccessIterator __first,
  _Distance __holeIndex, _Distance __topIndex, _Tp __value,
  _Compare& __comp)
    {
      _Distance __parent = (__holeIndex - 1) / 2;
      while (__holeIndex > __topIndex && __comp(__first + __parent, __value))
 {
   *(__first + __holeIndex) = std::move(*(__first + __parent));
   __holeIndex = __parent;
   __parent = (__holeIndex - 1) / 2;
 }
      *(__first + __holeIndex) = std::move(__value);
    }
# 152 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline void
    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
   _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
   _DistanceType;


     

     
      ;
      ;
      ;

      __gnu_cxx::__ops::_Iter_less_val __comp;
      _ValueType __value = std::move(*(__last - 1));
      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
         _DistanceType(0), std::move(__value), __comp);
    }
# 187 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Compare __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
   _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
   _DistanceType;


     

      ;
      ;
      ;

      __decltype(__gnu_cxx::__ops::__iter_comp_val(std::move(__comp)))
 __cmp(std::move(__comp));
      _ValueType __value = std::move(*(__last - 1));
      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
         _DistanceType(0), std::move(__value), __cmp);
    }

  template<typename _RandomAccessIterator, typename _Distance,
    typename _Tp, typename _Compare>
    void
    __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
    _Distance __len, _Tp __value, _Compare __comp)
    {
      const _Distance __topIndex = __holeIndex;
      _Distance __secondChild = __holeIndex;
      while (__secondChild < (__len - 1) / 2)
 {
   __secondChild = 2 * (__secondChild + 1);
   if (__comp(__first + __secondChild,
       __first + (__secondChild - 1)))
     __secondChild--;
   *(__first + __holeIndex) = std::move(*(__first + __secondChild));
   __holeIndex = __secondChild;
 }
      if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
 {
   __secondChild = 2 * (__secondChild + 1);
   *(__first + __holeIndex) = std::move(*(__first + (__secondChild - 1)))
                                  ;
   __holeIndex = __secondChild - 1;
 }
      __decltype(__gnu_cxx::__ops::__iter_comp_val(std::move(__comp)))
 __cmp(std::move(__comp));
      std::__push_heap(__first, __holeIndex, __topIndex,
         std::move(__value), __cmp);
    }

  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
        _RandomAccessIterator __result, _Compare& __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
 _DistanceType;

      _ValueType __value = std::move(*__result);
      *__result = std::move(*__first);
      std::__adjust_heap(__first, _DistanceType(0),
    _DistanceType(__last - __first),
    std::move(__value), __comp);
    }
# 269 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline void
    pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;
      ;
      ;

      if (__last - __first > 1)
 {
   --__last;
   __gnu_cxx::__ops::_Iter_less_iter __comp;
   std::__pop_heap(__first, __last, __last, __comp);
 }
    }
# 302 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    pop_heap(_RandomAccessIterator __first,
      _RandomAccessIterator __last, _Compare __comp)
    {

     

      ;
      ;
      ;
      ;

      if (__last - __first > 1)
 {
   typedef __decltype(__comp) _Cmp;
   __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
   --__last;
   std::__pop_heap(__first, __last, __last, __cmp);
 }
    }

  template<typename _RandomAccessIterator, typename _Compare>
    void
    __make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
  _Compare& __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
   _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
   _DistanceType;

      if (__last - __first < 2)
 return;

      const _DistanceType __len = __last - __first;
      _DistanceType __parent = (__len - 2) / 2;
      while (true)
 {
   _ValueType __value = std::move(*(__first + __parent));
   std::__adjust_heap(__first, __parent, __len, std::move(__value),
        __comp);
   if (__parent == 0)
     return;
   __parent--;
 }
    }
# 358 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline void
    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;

      __gnu_cxx::__ops::_Iter_less_iter __comp;
      std::__make_heap(__first, __last, __comp);
    }
# 384 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Compare __comp)
    {

     

      ;
      ;

      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
      std::__make_heap(__first, __last, __cmp);
    }

  template<typename _RandomAccessIterator, typename _Compare>
    void
    __sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
  _Compare& __comp)
    {
      while (__last - __first > 1)
 {
   --__last;
   std::__pop_heap(__first, __last, __last, __comp);
 }
    }
# 420 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline void
    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;
      ;

      __gnu_cxx::__ops::_Iter_less_iter __comp;
      std::__sort_heap(__first, __last, __comp);
    }
# 447 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Compare __comp)
    {

     

      ;
      ;
      ;

      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
      std::__sort_heap(__first, __last, __cmp);
    }
# 475 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline _RandomAccessIterator
    is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;

      __gnu_cxx::__ops::_Iter_less_iter __comp;
      return __first +
 std::__is_heap_until(__first, std::distance(__first, __last), __comp);
    }
# 503 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline _RandomAccessIterator
    is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last,
    _Compare __comp)
    {

     

      ;
      ;

      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
      return __first
 + std::__is_heap_until(__first, std::distance(__first, __last), __cmp);
    }
# 527 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator>
    inline bool
    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    { return std::is_heap_until(__first, __last) == __last; }
# 540 "/opt/sutton/include/c++/9.0.0/bits/stl_heap.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline bool
    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
     _Compare __comp)
    {

     

      ;
      ;

      const auto __dist = std::distance(__first, __last);
      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(std::move(__comp));
      return std::__is_heap_until(__first, __dist, __cmp) == __dist;
    }



}
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 1 3
# 60 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_construct.h" 1 3
# 61 "/opt/sutton/include/c++/9.0.0/bits/stl_construct.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/ext/alloc_traits.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/alloc_traits.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/alloc_traits.h" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 1 3
# 41 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  struct __allocator_traits_base
  {
    template<typename _Tp, typename _Up, typename = void>
      struct __rebind : __replace_first_arg<_Tp, _Up> { };

    template<typename _Tp, typename _Up>
      struct __rebind<_Tp, _Up,
        __void_t<typename _Tp::template rebind<_Up>::other>>
      { using type = typename _Tp::template rebind<_Up>::other; };

  protected:
    template<typename _Tp>
      using __pointer = typename _Tp::pointer;
    template<typename _Tp>
      using __c_pointer = typename _Tp::const_pointer;
    template<typename _Tp>
      using __v_pointer = typename _Tp::void_pointer;
    template<typename _Tp>
      using __cv_pointer = typename _Tp::const_void_pointer;
    template<typename _Tp>
      using __pocca = typename _Tp::propagate_on_container_copy_assignment;
    template<typename _Tp>
      using __pocma = typename _Tp::propagate_on_container_move_assignment;
    template<typename _Tp>
      using __pocs = typename _Tp::propagate_on_container_swap;
    template<typename _Tp>
      using __equal = typename _Tp::is_always_equal;
  };

  template<typename _Alloc, typename _Up>
    using __alloc_rebind
      = typename __allocator_traits_base::template __rebind<_Alloc, _Up>::type;





  template<typename _Alloc>
    struct allocator_traits : __allocator_traits_base
    {

      typedef _Alloc allocator_type;

      typedef typename _Alloc::value_type value_type;






      using pointer = __detected_or_t<value_type*, __pointer, _Alloc>;

    private:

      template<template<typename> class _Func, typename _Tp, typename = void>
 struct _Ptr
 {
   using type = typename pointer_traits<pointer>::template rebind<_Tp>;
 };

      template<template<typename> class _Func, typename _Tp>
 struct _Ptr<_Func, _Tp, __void_t<_Func<_Alloc>>>
 {
   using type = _Func<_Alloc>;
 };


      template<typename _A2, typename _PtrT, typename = void>
 struct _Diff
 { using type = typename pointer_traits<_PtrT>::difference_type; };

      template<typename _A2, typename _PtrT>
 struct _Diff<_A2, _PtrT, __void_t<typename _A2::difference_type>>
 { using type = typename _A2::difference_type; };


      template<typename _A2, typename _DiffT, typename = void>
 struct _Size : make_unsigned<_DiffT> { };

      template<typename _A2, typename _DiffT>
 struct _Size<_A2, _DiffT, __void_t<typename _A2::size_type>>
 { using type = typename _A2::size_type; };

    public:






      using const_pointer = typename _Ptr<__c_pointer, const value_type>::type;







      using void_pointer = typename _Ptr<__v_pointer, void>::type;







      using const_void_pointer = typename _Ptr<__cv_pointer, const void>::type;







      using difference_type = typename _Diff<_Alloc, pointer>::type;







      using size_type = typename _Size<_Alloc, difference_type>::type;







      using propagate_on_container_copy_assignment
 = __detected_or_t<false_type, __pocca, _Alloc>;







      using propagate_on_container_move_assignment
 = __detected_or_t<false_type, __pocma, _Alloc>;







      using propagate_on_container_swap
 = __detected_or_t<false_type, __pocs, _Alloc>;







      using is_always_equal
 = __detected_or_t<typename is_empty<_Alloc>::type, __equal, _Alloc>;

      template<typename _Tp>
 using rebind_alloc = __alloc_rebind<_Alloc, _Tp>;
      template<typename _Tp>
 using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;

    private:
      template<typename _Alloc2>
 static auto
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint, int)
 -> decltype(__a.allocate(__n, __hint))
 { return __a.allocate(__n, __hint); }

      template<typename _Alloc2>
 static pointer
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer, ...)
 { 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(...);

   using type = decltype(__test<_Alloc>(0));
 };

      template<typename _Tp, typename... _Args>
 using __has_construct
   = typename __construct_helper<_Tp, _Args...>::type;

      template<typename _Tp, typename... _Args>
 static _Require<__has_construct<_Tp, _Args...>>
 _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(__a.construct(__p, std::forward<_Args>(__args)...)))
 { __a.construct(__p, std::forward<_Args>(__args)...); }

      template<typename _Tp, typename... _Args>
 static
 _Require<__and_<__not_<__has_construct<_Tp, _Args...>>,
          is_constructible<_Tp, _Args...>>>
 _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(::new((void*)__p)
     _Tp(std::forward<_Args>(__args)...)))
 { ::new((void*)__p) _Tp(std::forward<_Args>(__args)...); }

      template<typename _Alloc2, typename _Tp>
 static auto
 _S_destroy(_Alloc2& __a, _Tp* __p, int)
 noexcept(noexcept(__a.destroy(__p)))
 -> decltype(__a.destroy(__p))
 { __a.destroy(__p); }

      template<typename _Alloc2, typename _Tp>
 static void
 _S_destroy(_Alloc2&, _Tp* __p, ...)
 noexcept(noexcept(__p->~_Tp()))
 { __p->~_Tp(); }

      template<typename _Alloc2>
 static auto
 _S_max_size(_Alloc2& __a, int)
 -> decltype(__a.max_size())
 { return __a.max_size(); }

      template<typename _Alloc2>
 static size_type
 _S_max_size(_Alloc2&, ...)
 {


   return __gnu_cxx::__numeric_traits<size_type>::__max
     / sizeof(value_type);
 }

      template<typename _Alloc2>
 static auto
 _S_select(_Alloc2& __a, int)
 -> decltype(__a.select_on_container_copy_construction())
 { return __a.select_on_container_copy_construction(); }

      template<typename _Alloc2>
 static _Alloc2
 _S_select(_Alloc2& __a, ...)
 { return __a; }

    public:
# 304 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
# 319 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint, 0); }
# 331 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static void
      deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 346 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      template<typename _Tp, typename... _Args>
 static auto construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(_S_construct(__a, __p,
           std::forward<_Args>(__args)...)))
 -> decltype(_S_construct(__a, __p, std::forward<_Args>(__args)...))
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
# 361 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      template<typename _Tp>
 static void destroy(_Alloc& __a, _Tp* __p)
 noexcept(noexcept(_S_destroy(__a, __p, 0)))
 { _S_destroy(__a, __p, 0); }
# 374 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static size_type max_size(const _Alloc& __a) noexcept
      { return _S_max_size(__a, 0); }
# 385 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static _Alloc
      select_on_container_copy_construction(const _Alloc& __rhs)
      { return _S_select(__rhs, 0); }
    };


  template<typename _Tp>
    struct allocator_traits<allocator<_Tp>>
    {

      using allocator_type = allocator<_Tp>;

      using value_type = _Tp;


      using pointer = _Tp*;


      using const_pointer = const _Tp*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;
# 442 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 456 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n, const_void_pointer __hint)
      { return __a.allocate(__n, __hint); }
# 468 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 480 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type& __a, _Up* __p, _Args&&... __args)
 noexcept(noexcept(__a.construct(__p, std::forward<_Args>(__args)...)))
 { __a.construct(__p, std::forward<_Args>(__args)...); }
# 493 "/opt/sutton/include/c++/9.0.0/bits/alloc_traits.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type& __a, _Up* __p)
 noexcept(noexcept(__a.destroy(__p)))
 { __a.destroy(__p); }






      static size_type
      max_size(const allocator_type& __a) noexcept
      { return __a.max_size(); }






      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };


  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());
    }

  template<typename _Alloc>
    class __is_copy_insertable_impl
    {
      typedef allocator_traits<_Alloc> _Traits;

      template<typename _Up, typename
        = decltype(_Traits::construct(std::declval<_Alloc&>(),
          std::declval<_Up*>(),
          std::declval<const _Up&>()))>
 static true_type
 _M_select(int);

      template<typename _Up>
 static false_type
 _M_select(...);

    public:
      typedef decltype(_M_select<typename _Alloc::value_type>(0)) type;
    };


  template<typename _Alloc>
    struct __is_copy_insertable
    : __is_copy_insertable_impl<_Alloc>::type
    { };


  template<typename _Tp>
    struct __is_copy_insertable<allocator<_Tp>>
    : is_copy_constructible<_Tp>
    { };


  template<typename _Alloc, typename = void>
    struct __is_allocator : false_type { };

  template<typename _Alloc>
    struct __is_allocator<_Alloc,
      __void_t<typename _Alloc::value_type,
        decltype(std::declval<_Alloc&>().allocate(size_t{}))>>
    : true_type { };

  template<typename _Alloc>
    using _RequireAllocator
      = typename enable_if<__is_allocator<_Alloc>::value, _Alloc>::type;


}
# 37 "/opt/sutton/include/c++/9.0.0/ext/alloc_traits.h" 2 3




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






template<typename _Alloc, typename = typename _Alloc::value_type>
  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 typename _Base_type::difference_type difference_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>
      using __is_custom_pointer
 = std::__and_<std::is_same<pointer, _Ptr>,
        std::__not_<std::is_pointer<_Ptr>>>;

  public:

    template<typename _Ptr, typename... _Args>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      noexcept(noexcept(_Base_type::construct(__a, std::__to_address(__p),
           std::forward<_Args>(__args)...)))
      {
 _Base_type::construct(__a, std::__to_address(__p),
         std::forward<_Args>(__args)...);
      }


    template<typename _Ptr>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      destroy(_Alloc& __a, _Ptr __p)
      noexcept(noexcept(_Base_type::destroy(__a, std::__to_address(__p))))
      { _Base_type::destroy(__a, std::__to_address(__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 _Base_type::is_always_equal::value; }

    static constexpr bool _S_nothrow_move()
    { return _S_propagate_on_move_assign() || _S_always_equal(); }

    template<typename _Tp>
      struct rebind
      { typedef typename _Base_type::template rebind_alloc<_Tp> other; };
# 161 "/opt/sutton/include/c++/9.0.0/ext/alloc_traits.h" 3
  };


}
# 62 "/opt/sutton/include/c++/9.0.0/bits/stl_construct.h" 2 3

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)...); }
# 87 "/opt/sutton/include/c++/9.0.0/bits/stl_construct.h" 3
  template<typename _T1>
    inline void
    _Construct_novalue(_T1* __p)
    { ::new(static_cast<void*>(__p)) _T1; }




  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;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");

      std::_Destroy_aux<__has_trivial_destructor(_Value_type)>::
 __destroy(__first, __last);
    }

  template<bool>
    struct _Destroy_n_aux
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __destroy_n(_ForwardIterator __first, _Size __count)
 {
   for (; __count > 0; (void)++__first, --__count)
     std::_Destroy(std::__addressof(*__first));
   return __first;
 }
    };

  template<>
    struct _Destroy_n_aux<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __destroy_n(_ForwardIterator __first, _Size __count)
 {
   std::advance(__first, __count);
   return __first;
 }
    };






  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    _Destroy_n(_ForwardIterator __first, _Size __count)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");

      return std::_Destroy_n_aux<__has_trivial_destructor(_Value_type)>::
 __destroy_n(__first, __count);
    }







  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);
    }


  template <typename _Tp>
    inline void
    destroy_at(_Tp* __location)
    {
      std::_Destroy(__location);
    }

  template <typename _ForwardIterator>
    inline void
    destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      std::_Destroy(__first, __last);
    }

  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    destroy_n(_ForwardIterator __first, _Size __count)
    {
      return std::_Destroy_n(__first, __count);
    }



}
# 61 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 2 3

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

# 83 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 3
  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);
    }
# 110 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 3
  template<typename _Tp>
    inline void
    return_temporary_buffer(_Tp* __p)
    { ::operator delete(__p); }







  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 __seed, size_type __original_len);

      ~_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 _Pointer, typename _ForwardIterator>
        static void
        __ucr(_Pointer __first, _Pointer __last,
       _ForwardIterator __seed)
        {
   if(__first == __last)
     return;

   _Pointer __cur = __first;
   try
     {
       std::_Construct(std::__addressof(*__first),
         std::move(*__seed));
       _Pointer __prev = __cur;
       ++__cur;
       for(; __cur != __last; ++__cur, ++__prev)
  std::_Construct(std::__addressof(*__cur),
    std::move(*__prev));
       *__seed = std::move(*__prev);
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_construct_buf_dispatch<true>
    {
      template<typename _Pointer, typename _ForwardIterator>
        static void
        __ucr(_Pointer, _Pointer, _ForwardIterator) { }
    };
# 229 "/opt/sutton/include/c++/9.0.0/bits/stl_tempbuf.h" 3
  template<typename _Pointer, typename _ForwardIterator>
    inline void
    __uninitialized_construct_buf(_Pointer __first, _Pointer __last,
      _ForwardIterator __seed)
    {
      typedef typename std::iterator_traits<_Pointer>::value_type
 _ValueType;

      std::__uninitialized_construct_buf_dispatch<
        __has_trivial_constructor(_ValueType)>::
   __ucr(__first, __last, __seed);
    }

  template<typename _ForwardIterator, typename _Tp>
    _Temporary_buffer<_ForwardIterator, _Tp>::
    _Temporary_buffer(_ForwardIterator __seed, size_type __original_len)
    : _M_original_len(__original_len), _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,
            __seed);
 }
      catch(...)
 {
   std::return_temporary_buffer(_M_buffer);
   _M_buffer = 0;
   _M_len = 0;
   throw;
 }
    }


}
# 63 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 2 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/uniform_int_dist.h" 1 3
# 35 "/opt/sutton/include/c++/9.0.0/bits/uniform_int_dist.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/limits" 1 3
# 40 "/opt/sutton/include/c++/9.0.0/limits" 3
       
# 41 "/opt/sutton/include/c++/9.0.0/limits" 3
# 158 "/opt/sutton/include/c++/9.0.0/limits" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  enum float_round_style
  {
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
  };







  enum float_denorm_style
  {

    denorm_indeterminate = -1,

    denorm_absent = 0,

    denorm_present = 1
  };
# 202 "/opt/sutton/include/c++/9.0.0/limits" 3
  struct __numeric_limits_base
  {


    static constexpr bool is_specialized = false;




    static constexpr int digits = 0;


    static constexpr int digits10 = 0;




    static constexpr int max_digits10 = 0;



    static constexpr bool is_signed = false;


    static constexpr bool is_integer = false;




    static constexpr bool is_exact = false;



    static constexpr int radix = 0;



    static constexpr int min_exponent = 0;



    static constexpr int min_exponent10 = 0;




    static constexpr int max_exponent = 0;



    static constexpr int max_exponent10 = 0;


    static constexpr bool has_infinity = false;



    static constexpr bool has_quiet_NaN = false;



    static constexpr bool has_signaling_NaN = false;


    static constexpr float_denorm_style has_denorm = denorm_absent;



    static constexpr bool has_denorm_loss = false;



    static constexpr bool is_iec559 = false;




    static constexpr bool is_bounded = false;
# 288 "/opt/sutton/include/c++/9.0.0/limits" 3
    static constexpr bool is_modulo = false;


    static constexpr bool traps = false;


    static constexpr bool tinyness_before = false;




    static constexpr float_round_style round_style =
          round_toward_zero;
  };
# 311 "/opt/sutton/include/c++/9.0.0/limits" 3
  template<typename _Tp>
    struct numeric_limits : public __numeric_limits_base
    {


      static constexpr _Tp
      min() noexcept { return _Tp(); }


      static constexpr _Tp
      max() noexcept { return _Tp(); }




      static constexpr _Tp
      lowest() noexcept { return _Tp(); }




      static constexpr _Tp
      epsilon() noexcept { return _Tp(); }


      static constexpr _Tp
      round_error() noexcept { return _Tp(); }


      static constexpr _Tp
      infinity() noexcept { return _Tp(); }



      static constexpr _Tp
      quiet_NaN() noexcept { return _Tp(); }



      static constexpr _Tp
      signaling_NaN() noexcept { return _Tp(); }




      static constexpr _Tp
      denorm_min() noexcept { return _Tp(); }
    };




  template<typename _Tp>
    struct numeric_limits<const _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<volatile _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<const volatile _Tp>
    : public numeric_limits<_Tp> { };
# 382 "/opt/sutton/include/c++/9.0.0/limits" 3
  template<>
    struct numeric_limits<bool>
    {
      static constexpr bool is_specialized = true;

      static constexpr bool
      min() noexcept { return false; }

      static constexpr bool
      max() noexcept { return true; }


      static constexpr bool
      lowest() noexcept { return min(); }

      static constexpr int digits = 1;
      static constexpr int digits10 = 0;

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr bool
      epsilon() noexcept { return false; }

      static constexpr bool
      round_error() noexcept { return false; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr bool
      infinity() noexcept { return false; }

      static constexpr bool
      quiet_NaN() noexcept { return false; }

      static constexpr bool
      signaling_NaN() noexcept { return false; }

      static constexpr bool
      denorm_min() noexcept { return false; }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;




      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<char>
    {
      static constexpr bool is_specialized = true;

      static constexpr char
      min() noexcept { return (((char)(-1) < 0) ? -(((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0) - 1 : (char)0); }

      static constexpr char
      max() noexcept { return (((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0); }


      static constexpr char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(char) * 8 - ((char)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char) * 8 - ((char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((char)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char
      epsilon() noexcept { return 0; }

      static constexpr char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr
      char infinity() noexcept { return char(); }

      static constexpr char
      quiet_NaN() noexcept { return char(); }

      static constexpr char
      signaling_NaN() noexcept { return char(); }

      static constexpr char
      denorm_min() noexcept { return static_cast<char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<signed char>
    {
      static constexpr bool is_specialized = true;

      static constexpr signed char
      min() noexcept { return -0x7f - 1; }

      static constexpr signed char
      max() noexcept { return 0x7f; }


      static constexpr signed char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(signed char) * 8 - ((signed char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(signed char) * 8 - ((signed char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr signed char
      epsilon() noexcept { return 0; }

      static constexpr signed char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr signed char
      infinity() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      quiet_NaN() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      signaling_NaN() noexcept
      { return static_cast<signed char>(0); }

      static constexpr signed char
      denorm_min() noexcept
      { return static_cast<signed char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned char>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned char
      min() noexcept { return 0; }

      static constexpr unsigned char
      max() noexcept { return 0x7f * 2U + 1; }


      static constexpr unsigned char
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned char
      epsilon() noexcept { return 0; }

      static constexpr unsigned char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned char
      infinity() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      quiet_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      signaling_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      denorm_min() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<wchar_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr wchar_t
      min() noexcept { return (((wchar_t)(-1) < 0) ? -(((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0) - 1 : (wchar_t)0); }

      static constexpr wchar_t
      max() noexcept { return (((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0); }


      static constexpr wchar_t
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((wchar_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr wchar_t
      epsilon() noexcept { return 0; }

      static constexpr wchar_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr wchar_t
      infinity() noexcept { return wchar_t(); }

      static constexpr wchar_t
      quiet_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      signaling_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      denorm_min() noexcept { return wchar_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };



  template<>
    struct numeric_limits<char16_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char16_t
      min() noexcept { return (((char16_t)(-1) < 0) ? -(((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0) - 1 : (char16_t)0); }

      static constexpr char16_t
      max() noexcept { return (((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0); }

      static constexpr char16_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char16_t) * 8 - ((char16_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char16_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char16_t
      epsilon() noexcept { return 0; }

      static constexpr char16_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char16_t
      infinity() noexcept { return char16_t(); }

      static constexpr char16_t
      quiet_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      signaling_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      denorm_min() noexcept { return char16_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };


  template<>
    struct numeric_limits<char32_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char32_t
      min() noexcept { return (((char32_t)(-1) < 0) ? -(((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0) - 1 : (char32_t)0); }

      static constexpr char32_t
      max() noexcept { return (((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0); }

      static constexpr char32_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char32_t) * 8 - ((char32_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char32_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char32_t
      epsilon() noexcept { return 0; }

      static constexpr char32_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char32_t
      infinity() noexcept { return char32_t(); }

      static constexpr char32_t
      quiet_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      signaling_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      denorm_min() noexcept { return char32_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };



  template<>
    struct numeric_limits<short>
    {
      static constexpr bool is_specialized = true;

      static constexpr short
      min() noexcept { return -0x7fff - 1; }

      static constexpr short
      max() noexcept { return 0x7fff; }


      static constexpr short
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(short) * 8 - ((short)(-1) < 0));
      static constexpr int digits10 = ((sizeof(short) * 8 - ((short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr short
      epsilon() noexcept { return 0; }

      static constexpr short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr short
      infinity() noexcept { return short(); }

      static constexpr short
      quiet_NaN() noexcept { return short(); }

      static constexpr short
      signaling_NaN() noexcept { return short(); }

      static constexpr short
      denorm_min() noexcept { return short(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned short>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned short
      min() noexcept { return 0; }

      static constexpr unsigned short
      max() noexcept { return 0x7fff * 2U + 1; }


      static constexpr unsigned short
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned short
      epsilon() noexcept { return 0; }

      static constexpr unsigned short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned short
      infinity() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      quiet_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      signaling_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      denorm_min() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<int>
    {
      static constexpr bool is_specialized = true;

      static constexpr int
      min() noexcept { return -0x7fffffff - 1; }

      static constexpr int
      max() noexcept { return 0x7fffffff; }


      static constexpr int
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(int) * 8 - ((int)(-1) < 0));
      static constexpr int digits10 = ((sizeof(int) * 8 - ((int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr int
      epsilon() noexcept { return 0; }

      static constexpr int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr int
      infinity() noexcept { return static_cast<int>(0); }

      static constexpr int
      quiet_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      signaling_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      denorm_min() noexcept { return static_cast<int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned int>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned int
      min() noexcept { return 0; }

      static constexpr unsigned int
      max() noexcept { return 0x7fffffff * 2U + 1; }


      static constexpr unsigned int
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned int
      epsilon() noexcept { return 0; }

      static constexpr unsigned int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned int
      infinity() noexcept { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      quiet_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      signaling_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      denorm_min() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long
      min() noexcept { return -0x7fffffffffffffffL - 1; }

      static constexpr long
      max() noexcept { return 0x7fffffffffffffffL; }


      static constexpr long
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(long) * 8 - ((long)(-1) < 0));
      static constexpr int digits10 = ((sizeof(long) * 8 - ((long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long
      epsilon() noexcept { return 0; }

      static constexpr long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long
      infinity() noexcept { return static_cast<long>(0); }

      static constexpr long
      quiet_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      signaling_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      denorm_min() noexcept { return static_cast<long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long
      min() noexcept { return 0; }

      static constexpr unsigned long
      max() noexcept { return 0x7fffffffffffffffL * 2UL + 1; }


      static constexpr unsigned long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long
      infinity() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      quiet_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      signaling_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      denorm_min() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long long
      min() noexcept { return -0x7fffffffffffffffLL - 1; }

      static constexpr long long
      max() noexcept { return 0x7fffffffffffffffLL; }


      static constexpr long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(long long) * 8 - ((long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(long long) * 8 - ((long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long long
      epsilon() noexcept { return 0; }

      static constexpr long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long long
      infinity() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      quiet_NaN() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      signaling_NaN() noexcept
      { return static_cast<long long>(0); }

      static constexpr long long
      denorm_min() noexcept { return static_cast<long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long long
      min() noexcept { return 0; }

      static constexpr unsigned long long
      max() noexcept { return 0x7fffffffffffffffLL * 2ULL + 1; }


      static constexpr unsigned long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long long
      infinity() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      quiet_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      signaling_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      denorm_min() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 1593 "/opt/sutton/include/c++/9.0.0/limits" 3
  template<>
    struct numeric_limits<float>
    {
      static constexpr bool is_specialized = true;

      static constexpr float
      min() noexcept { return 1.17549435082228750796873653722224568e-38F; }

      static constexpr float
      max() noexcept { return 3.40282346638528859811704183484516925e+38F; }


      static constexpr float
      lowest() noexcept { return -3.40282346638528859811704183484516925e+38F; }


      static constexpr int digits = 24;
      static constexpr int digits10 = 6;

      static constexpr int max_digits10
  = (2 + (24) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr float
      epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F; }

      static constexpr float
      round_error() noexcept { return 0.5F; }

      static constexpr int min_exponent = (-125);
      static constexpr int min_exponent10 = (-37);
      static constexpr int max_exponent = 128;
      static constexpr int max_exponent10 = 38;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
       = false;

      static constexpr float
      infinity() noexcept { return __builtin_huge_valf(); }

      static constexpr float
      quiet_NaN() noexcept { return __builtin_nanf(""); }

      static constexpr float
      signaling_NaN() noexcept { return __builtin_nansf(""); }

      static constexpr float
      denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<double>
    {
      static constexpr bool is_specialized = true;

      static constexpr double
      min() noexcept { return double(2.22507385850720138309023271733240406e-308L); }

      static constexpr double
      max() noexcept { return double(1.79769313486231570814527423731704357e+308L); }


      static constexpr double
      lowest() noexcept { return -double(1.79769313486231570814527423731704357e+308L); }


      static constexpr int digits = 53;
      static constexpr int digits10 = 15;

      static constexpr int max_digits10
  = (2 + (53) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr double
      epsilon() noexcept { return double(2.22044604925031308084726333618164062e-16L); }

      static constexpr double
      round_error() noexcept { return 0.5; }

      static constexpr int min_exponent = (-1021);
      static constexpr int min_exponent10 = (-307);
      static constexpr int max_exponent = 1024;
      static constexpr int max_exponent10 = 308;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
        = false;

      static constexpr double
      infinity() noexcept { return __builtin_huge_val(); }

      static constexpr double
      quiet_NaN() noexcept { return __builtin_nan(""); }

      static constexpr double
      signaling_NaN() noexcept { return __builtin_nans(""); }

      static constexpr double
      denorm_min() noexcept { return double(4.94065645841246544176568792868221372e-324L); }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<long double>
    {
      static constexpr bool is_specialized = true;

      static constexpr long double
      min() noexcept { return 3.36210314311209350626267781732175260e-4932L; }

      static constexpr long double
      max() noexcept { return 1.18973149535723176502126385303097021e+4932L; }


      static constexpr long double
      lowest() noexcept { return -1.18973149535723176502126385303097021e+4932L; }


      static constexpr int digits = 64;
      static constexpr int digits10 = 18;

      static constexpr int max_digits10
  = (2 + (64) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr long double
      epsilon() noexcept { return 1.08420217248550443400745280086994171e-19L; }

      static constexpr long double
      round_error() noexcept { return 0.5L; }

      static constexpr int min_exponent = (-16381);
      static constexpr int min_exponent10 = (-4931);
      static constexpr int max_exponent = 16384;
      static constexpr int max_exponent10 = 4932;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
 = false;

      static constexpr long double
      infinity() noexcept { return __builtin_huge_vall(); }

      static constexpr long double
      quiet_NaN() noexcept { return __builtin_nanl(""); }

      static constexpr long double
      signaling_NaN() noexcept { return __builtin_nansl(""); }

      static constexpr long double
      denorm_min() noexcept { return 3.64519953188247460252840593361941982e-4951L; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before =
      false;
      static constexpr float_round_style round_style =
            round_to_nearest;
    };






}
# 36 "/opt/sutton/include/c++/9.0.0/bits/uniform_int_dist.h" 2 3

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


  namespace __detail
  {

    template<typename _Tp>
      inline bool
      _Power_of_2(_Tp __x)
      {
 return ((__x - 1) & __x) == 0;
      }
  }






  template<typename _IntType = int>
    class uniform_int_distribution
    {
      static_assert(std::is_integral<_IntType>::value,
      "template argument must be an integral type");

    public:

      typedef _IntType result_type;

      struct param_type
      {
 typedef uniform_int_distribution<_IntType> distribution_type;

 param_type() : param_type(0) { }

 explicit
 param_type(_IntType __a,
     _IntType __b = numeric_limits<_IntType>::max())
 : _M_a(__a), _M_b(__b)
 {
   ;
 }

 result_type
 a() const
 { return _M_a; }

 result_type
 b() const
 { return _M_b; }

 friend bool
 operator==(const param_type& __p1, const param_type& __p2)
 { return __p1._M_a == __p2._M_a && __p1._M_b == __p2._M_b; }

 friend bool
 operator!=(const param_type& __p1, const param_type& __p2)
 { return !(__p1 == __p2); }

      private:
 _IntType _M_a;
 _IntType _M_b;
      };

    public:



      uniform_int_distribution() : uniform_int_distribution(0) { }




      explicit
      uniform_int_distribution(_IntType __a,
          _IntType __b = numeric_limits<_IntType>::max())
      : _M_param(__a, __b)
      { }

      explicit
      uniform_int_distribution(const param_type& __p)
      : _M_param(__p)
      { }






      void
      reset() { }

      result_type
      a() const
      { return _M_param.a(); }

      result_type
      b() const
      { return _M_param.b(); }




      param_type
      param() const
      { return _M_param; }





      void
      param(const param_type& __param)
      { _M_param = __param; }




      result_type
      min() const
      { return this->a(); }




      result_type
      max() const
      { return this->b(); }




      template<typename _UniformRandomNumberGenerator>
 result_type
 operator()(_UniformRandomNumberGenerator& __urng)
        { return this->operator()(__urng, _M_param); }

      template<typename _UniformRandomNumberGenerator>
 result_type
 operator()(_UniformRandomNumberGenerator& __urng,
     const param_type& __p);

      template<typename _ForwardIterator,
        typename _UniformRandomNumberGenerator>
 void
 __generate(_ForwardIterator __f, _ForwardIterator __t,
     _UniformRandomNumberGenerator& __urng)
 { this->__generate(__f, __t, __urng, _M_param); }

      template<typename _ForwardIterator,
        typename _UniformRandomNumberGenerator>
 void
 __generate(_ForwardIterator __f, _ForwardIterator __t,
     _UniformRandomNumberGenerator& __urng,
     const param_type& __p)
 { this->__generate_impl(__f, __t, __urng, __p); }

      template<typename _UniformRandomNumberGenerator>
 void
 __generate(result_type* __f, result_type* __t,
     _UniformRandomNumberGenerator& __urng,
     const param_type& __p)
 { this->__generate_impl(__f, __t, __urng, __p); }





      friend bool
      operator==(const uniform_int_distribution& __d1,
   const uniform_int_distribution& __d2)
      { return __d1._M_param == __d2._M_param; }

    private:
      template<typename _ForwardIterator,
        typename _UniformRandomNumberGenerator>
 void
 __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
   _UniformRandomNumberGenerator& __urng,
   const param_type& __p);

      param_type _M_param;
    };

  template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename uniform_int_distribution<_IntType>::result_type
      uniform_int_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
   const param_type& __param)
      {
 typedef typename _UniformRandomNumberGenerator::result_type
   _Gresult_type;
 typedef typename std::make_unsigned<result_type>::type __utype;
 typedef typename std::common_type<_Gresult_type, __utype>::type
   __uctype;

 const __uctype __urngmin = __urng.min();
 const __uctype __urngmax = __urng.max();
 const __uctype __urngrange = __urngmax - __urngmin;
 const __uctype __urange
   = __uctype(__param.b()) - __uctype(__param.a());

 __uctype __ret;

 if (__urngrange > __urange)
   {

     const __uctype __uerange = __urange + 1;
     const __uctype __scaling = __urngrange / __uerange;
     const __uctype __past = __uerange * __scaling;
     do
       __ret = __uctype(__urng()) - __urngmin;
     while (__ret >= __past);
     __ret /= __scaling;
   }
 else if (__urngrange < __urange)
   {
# 271 "/opt/sutton/include/c++/9.0.0/bits/uniform_int_dist.h" 3
     __uctype __tmp;
     do
       {
  const __uctype __uerngrange = __urngrange + 1;
  __tmp = (__uerngrange * operator()
    (__urng, param_type(0, __urange / __uerngrange)));
  __ret = __tmp + (__uctype(__urng()) - __urngmin);
       }
     while (__ret > __urange || __ret < __tmp);
   }
 else
   __ret = __uctype(__urng()) - __urngmin;

 return __ret + __param.a();
      }


  template<typename _IntType>
    template<typename _ForwardIterator,
      typename _UniformRandomNumberGenerator>
      void
      uniform_int_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
        _UniformRandomNumberGenerator& __urng,
        const param_type& __param)
      {

 typedef typename _UniformRandomNumberGenerator::result_type
   _Gresult_type;
 typedef typename std::make_unsigned<result_type>::type __utype;
 typedef typename std::common_type<_Gresult_type, __utype>::type
   __uctype;

 const __uctype __urngmin = __urng.min();
 const __uctype __urngmax = __urng.max();
 const __uctype __urngrange = __urngmax - __urngmin;
 const __uctype __urange
   = __uctype(__param.b()) - __uctype(__param.a());

 __uctype __ret;

 if (__urngrange > __urange)
   {
     if (__detail::_Power_of_2(__urngrange + 1)
  && __detail::_Power_of_2(__urange + 1))
       {
  while (__f != __t)
    {
      __ret = __uctype(__urng()) - __urngmin;
      *__f++ = (__ret & __urange) + __param.a();
    }
       }
     else
       {

  const __uctype __uerange = __urange + 1;
  const __uctype __scaling = __urngrange / __uerange;
  const __uctype __past = __uerange * __scaling;
  while (__f != __t)
    {
      do
        __ret = __uctype(__urng()) - __urngmin;
      while (__ret >= __past);
      *__f++ = __ret / __scaling + __param.a();
    }
       }
   }
 else if (__urngrange < __urange)
   {
# 355 "/opt/sutton/include/c++/9.0.0/bits/uniform_int_dist.h" 3
     __uctype __tmp;
     while (__f != __t)
       {
  do
    {
      const __uctype __uerngrange = __urngrange + 1;
      __tmp = (__uerngrange * operator()
        (__urng, param_type(0, __urange / __uerngrange)));
      __ret = __tmp + (__uctype(__urng()) - __urngmin);
    }
  while (__ret > __urange || __ret < __tmp);
  *__f++ = __ret;
       }
   }
 else
   while (__f != __t)
     *__f++ = __uctype(__urng()) - __urngmin + __param.a();
      }




}
# 67 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 2 3




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



  template<typename _Iterator, typename _Compare>
    void
    __move_median_to_first(_Iterator __result,_Iterator __a, _Iterator __b,
      _Iterator __c, _Compare __comp)
    {
      if (__comp(__a, __b))
 {
   if (__comp(__b, __c))
     std::iter_swap(__result, __b);
   else if (__comp(__a, __c))
     std::iter_swap(__result, __c);
   else
     std::iter_swap(__result, __a);
 }
      else if (__comp(__a, __c))
 std::iter_swap(__result, __a);
      else if (__comp(__b, __c))
 std::iter_swap(__result, __c);
      else
 std::iter_swap(__result, __b);
    }


  template<typename _InputIterator, typename _Predicate>
    inline _InputIterator
    __find_if(_InputIterator __first, _InputIterator __last,
       _Predicate __pred, input_iterator_tag)
    {
      while (__first != __last && !__pred(__first))
 ++__first;
      return __first;
    }


  template<typename _RandomAccessIterator, typename _Predicate>
    _RandomAccessIterator
    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Predicate __pred, random_access_iterator_tag)
    {
      typename iterator_traits<_RandomAccessIterator>::difference_type
 __trip_count = (__last - __first) >> 2;

      for (; __trip_count > 0; --__trip_count)
 {
   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;
 }

      switch (__last - __first)
 {
 case 3:
   if (__pred(__first))
     return __first;
   ++__first;
 case 2:
   if (__pred(__first))
     return __first;
   ++__first;
 case 1:
   if (__pred(__first))
     return __first;
   ++__first;
 case 0:
 default:
   return __last;
 }
    }

  template<typename _Iterator, typename _Predicate>
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
      return __find_if(__first, __last, __pred,
         std::__iterator_category(__first));
    }


  template<typename _InputIterator, typename _Predicate>
    inline _InputIterator
    __find_if_not(_InputIterator __first, _InputIterator __last,
    _Predicate __pred)
    {
      return std::__find_if(__first, __last,
       __gnu_cxx::__ops::__negate(__pred),
       std::__iterator_category(__first));
    }




  template<typename _InputIterator, typename _Predicate, typename _Distance>
    _InputIterator
    __find_if_not_n(_InputIterator __first, _Distance& __len, _Predicate __pred)
    {
      for (; __len; --__len, (void) ++__first)
 if (!__pred(__first))
   break;
      return __first;
    }
# 202 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    _ForwardIterator1
    __search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
      _ForwardIterator2 __first2, _ForwardIterator2 __last2,
      _BinaryPredicate __predicate)
    {

      if (__first1 == __last1 || __first2 == __last2)
 return __first1;


      _ForwardIterator2 __p1(__first2);
      if (++__p1 == __last2)
 return std::__find_if(__first1, __last1,
  __gnu_cxx::__ops::__iter_comp_iter(__predicate, __first2));


      _ForwardIterator2 __p;
      _ForwardIterator1 __current = __first1;

      for (;;)
 {
   __first1 =
     std::__find_if(__first1, __last1,
  __gnu_cxx::__ops::__iter_comp_iter(__predicate, __first2));

   if (__first1 == __last1)
     return __last1;

   __p = __p1;
   __current = __first1;
   if (++__current == __last1)
     return __last1;

   while (__predicate(__current, __p))
     {
       if (++__p == __last2)
  return __first1;
       if (++__current == __last1)
  return __last1;
     }
   ++__first1;
 }
      return __first1;
    }






  template<typename _ForwardIterator, typename _Integer,
    typename _UnaryPredicate>
    _ForwardIterator
    __search_n_aux(_ForwardIterator __first, _ForwardIterator __last,
     _Integer __count, _UnaryPredicate __unary_pred,
     std::forward_iterator_tag)
    {
      __first = std::__find_if(__first, __last, __unary_pred);
      while (__first != __last)
 {
   typename iterator_traits<_ForwardIterator>::difference_type
     __n = __count;
   _ForwardIterator __i = __first;
   ++__i;
   while (__i != __last && __n != 1 && __unary_pred(__i))
     {
       ++__i;
       --__n;
     }
   if (__n == 1)
     return __first;
   if (__i == __last)
     return __last;
   __first = std::__find_if(++__i, __last, __unary_pred);
 }
      return __last;
    }





  template<typename _RandomAccessIter, typename _Integer,
    typename _UnaryPredicate>
    _RandomAccessIter
    __search_n_aux(_RandomAccessIter __first, _RandomAccessIter __last,
     _Integer __count, _UnaryPredicate __unary_pred,
     std::random_access_iterator_tag)
    {
      typedef typename std::iterator_traits<_RandomAccessIter>::difference_type
 _DistanceType;

      _DistanceType __tailSize = __last - __first;
      _DistanceType __remainder = __count;

      while (__remainder <= __tailSize)
 {
   __first += __remainder;
   __tailSize -= __remainder;


   _RandomAccessIter __backTrack = __first;
   while (__unary_pred(--__backTrack))
     {
       if (--__remainder == 0)
  return (__first - __count);
     }
   __remainder = __count + 1 - (__first - __backTrack);
 }
      return __last;
    }

  template<typename _ForwardIterator, typename _Integer,
    typename _UnaryPredicate>
    _ForwardIterator
    __search_n(_ForwardIterator __first, _ForwardIterator __last,
        _Integer __count,
        _UnaryPredicate __unary_pred)
    {
      if (__count <= 0)
 return __first;

      if (__count == 1)
 return std::__find_if(__first, __last, __unary_pred);

      return std::__search_n_aux(__first, __last, __count, __unary_pred,
     std::__iterator_category(__first));
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    _ForwardIterator1
    __find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
        _ForwardIterator2 __first2, _ForwardIterator2 __last2,
        forward_iterator_tag, forward_iterator_tag,
        _BinaryPredicate __comp)
    {
      if (__first2 == __last2)
 return __last1;

      _ForwardIterator1 __result = __last1;
      while (1)
 {
   _ForwardIterator1 __new_result
     = std::__search(__first1, __last1, __first2, __last2, __comp);
   if (__new_result == __last1)
     return __result;
   else
     {
       __result = __new_result;
       __first1 = __new_result;
       ++__first1;
     }
 }
    }


  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
    typename _BinaryPredicate>
    _BidirectionalIterator1
    __find_end(_BidirectionalIterator1 __first1,
        _BidirectionalIterator1 __last1,
        _BidirectionalIterator2 __first2,
        _BidirectionalIterator2 __last2,
        bidirectional_iterator_tag, bidirectional_iterator_tag,
        _BinaryPredicate __comp)
    {

     

     


      typedef reverse_iterator<_BidirectionalIterator1> _RevIterator1;
      typedef reverse_iterator<_BidirectionalIterator2> _RevIterator2;

      _RevIterator1 __rlast1(__first1);
      _RevIterator2 __rlast2(__first2);
      _RevIterator1 __rresult = std::__search(_RevIterator1(__last1), __rlast1,
           _RevIterator2(__last2), __rlast2,
           __comp);

      if (__rresult == __rlast1)
 return __last1;
      else
 {
   _BidirectionalIterator1 __result = __rresult.base();
   std::advance(__result, -std::distance(__first2, __last2));
   return __result;
 }
    }
# 423 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline _ForwardIterator1
    find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
      _ForwardIterator2 __first2, _ForwardIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__find_end(__first1, __last1, __first2, __last2,
        std::__iterator_category(__first1),
        std::__iterator_category(__first2),
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 471 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    inline _ForwardIterator1
    find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
      _ForwardIterator2 __first2, _ForwardIterator2 __last2,
      _BinaryPredicate __comp)
    {

     
     
     


      ;
      ;

      return std::__find_end(__first1, __last1, __first2, __last2,
        std::__iterator_category(__first1),
        std::__iterator_category(__first2),
        __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 506 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline bool
    all_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    { return __last == std::find_if_not(__first, __last, __pred); }
# 523 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline bool
    none_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    { return __last == std::find_if(__first, __last, __pred); }
# 541 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline bool
    any_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    { return !std::none_of(__first, __last, __pred); }
# 556 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline _InputIterator
    find_if_not(_InputIterator __first, _InputIterator __last,
  _Predicate __pred)
    {

     
     

      ;
      return std::__find_if_not(__first, __last,
    __gnu_cxx::__ops::__pred_iter(__pred));
    }
# 580 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline bool
    is_partitioned(_InputIterator __first, _InputIterator __last,
     _Predicate __pred)
    {
      __first = std::find_if_not(__first, __last, __pred);
      if (__first == __last)
 return true;
      ++__first;
      return std::none_of(__first, __last, __pred);
    }
# 601 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Predicate>
    _ForwardIterator
    partition_point(_ForwardIterator __first, _ForwardIterator __last,
      _Predicate __pred)
    {

     
     



      ;

      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);
      _DistanceType __half;
      _ForwardIterator __middle;

      while (__len > 0)
 {
   __half = __len >> 1;
   __middle = __first;
   std::advance(__middle, __half);
   if (__pred(*__middle))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }


  template<typename _InputIterator, typename _OutputIterator,
    typename _Predicate>
    _OutputIterator
    __remove_copy_if(_InputIterator __first, _InputIterator __last,
       _OutputIterator __result, _Predicate __pred)
    {
      for (; __first != __last; ++__first)
 if (!__pred(__first))
   {
     *__result = *__first;
     ++__result;
   }
      return __result;
    }
# 668 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator, typename _Tp>
    inline _OutputIterator
    remove_copy(_InputIterator __first, _InputIterator __last,
  _OutputIterator __result, const _Tp& __value)
    {

     
     

     

      ;

      return std::__remove_copy_if(__first, __last, __result,
 __gnu_cxx::__ops::__iter_equals_val(__value));
    }
# 700 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator,
    typename _Predicate>
    inline _OutputIterator
    remove_copy_if(_InputIterator __first, _InputIterator __last,
     _OutputIterator __result, _Predicate __pred)
    {

     
     

     

      ;

      return std::__remove_copy_if(__first, __last, __result,
       __gnu_cxx::__ops::__pred_iter(__pred));
    }
# 734 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator,
    typename _Predicate>
    _OutputIterator
    copy_if(_InputIterator __first, _InputIterator __last,
     _OutputIterator __result, _Predicate __pred)
    {

     
     

     

      ;

      for (; __first != __last; ++__first)
 if (__pred(*__first))
   {
     *__result = *__first;
     ++__result;
   }
      return __result;
    }

  template<typename _InputIterator, typename _Size, typename _OutputIterator>
    _OutputIterator
    __copy_n(_InputIterator __first, _Size __n,
      _OutputIterator __result, input_iterator_tag)
    {
      if (__n > 0)
 {
   while (true)
     {
       *__result = *__first;
       ++__result;
       if (--__n > 0)
  ++__first;
       else
  break;
     }
 }
      return __result;
    }

  template<typename _RandomAccessIterator, typename _Size,
    typename _OutputIterator>
    inline _OutputIterator
    __copy_n(_RandomAccessIterator __first, _Size __n,
      _OutputIterator __result, random_access_iterator_tag)
    { return std::copy(__first, __first + __n, __result); }
# 797 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Size, typename _OutputIterator>
    inline _OutputIterator
    copy_n(_InputIterator __first, _Size __n, _OutputIterator __result)
    {

     
     


      return std::__copy_n(__first, __n, __result,
      std::__iterator_category(__first));
    }
# 825 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator1,
    typename _OutputIterator2, typename _Predicate>
    pair<_OutputIterator1, _OutputIterator2>
    partition_copy(_InputIterator __first, _InputIterator __last,
     _OutputIterator1 __out_true, _OutputIterator2 __out_false,
     _Predicate __pred)
    {

     
     

     

     

      ;

      for (; __first != __last; ++__first)
 if (__pred(*__first))
   {
     *__out_true = *__first;
     ++__out_true;
   }
 else
   {
     *__out_false = *__first;
     ++__out_false;
   }

      return pair<_OutputIterator1, _OutputIterator2>(__out_true, __out_false);
    }


  template<typename _ForwardIterator, typename _Predicate>
    _ForwardIterator
    __remove_if(_ForwardIterator __first, _ForwardIterator __last,
  _Predicate __pred)
    {
      __first = std::__find_if(__first, __last, __pred);
      if (__first == __last)
 return __first;
      _ForwardIterator __result = __first;
      ++__first;
      for (; __first != __last; ++__first)
 if (!__pred(__first))
   {
     *__result = std::move(*__first);
     ++__result;
   }
      return __result;
    }
# 894 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    remove(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __value)
    {

     

     

      ;

      return std::__remove_if(__first, __last,
  __gnu_cxx::__ops::__iter_equals_val(__value));
    }
# 927 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Predicate>
    inline _ForwardIterator
    remove_if(_ForwardIterator __first, _ForwardIterator __last,
       _Predicate __pred)
    {

     

     

      ;

      return std::__remove_if(__first, __last,
         __gnu_cxx::__ops::__pred_iter(__pred));
    }

  template<typename _ForwardIterator, typename _BinaryPredicate>
    _ForwardIterator
    __adjacent_find(_ForwardIterator __first, _ForwardIterator __last,
      _BinaryPredicate __binary_pred)
    {
      if (__first == __last)
 return __last;
      _ForwardIterator __next = __first;
      while (++__next != __last)
 {
   if (__binary_pred(__first, __next))
     return __first;
   __first = __next;
 }
      return __last;
    }

  template<typename _ForwardIterator, typename _BinaryPredicate>
    _ForwardIterator
    __unique(_ForwardIterator __first, _ForwardIterator __last,
      _BinaryPredicate __binary_pred)
    {

      __first = std::__adjacent_find(__first, __last, __binary_pred);
      if (__first == __last)
 return __last;


      _ForwardIterator __dest = __first;
      ++__first;
      while (++__first != __last)
 if (!__binary_pred(__dest, __first))
   *++__dest = std::move(*__first);
      return ++__dest;
    }
# 993 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    inline _ForwardIterator
    unique(_ForwardIterator __first, _ForwardIterator __last)
    {

     

     

      ;

      return std::__unique(__first, __last,
      __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1023 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _BinaryPredicate>
    inline _ForwardIterator
    unique(_ForwardIterator __first, _ForwardIterator __last,
    _BinaryPredicate __binary_pred)
    {

     

     


      ;

      return std::__unique(__first, __last,
      __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }







  template<typename _ForwardIterator, typename _OutputIterator,
    typename _BinaryPredicate>
    _OutputIterator
    __unique_copy(_ForwardIterator __first, _ForwardIterator __last,
    _OutputIterator __result, _BinaryPredicate __binary_pred,
    forward_iterator_tag, output_iterator_tag)
    {

     



      _ForwardIterator __next = __first;
      *__result = *__first;
      while (++__next != __last)
 if (!__binary_pred(__first, __next))
   {
     __first = __next;
     *++__result = *__first;
   }
      return ++__result;
    }







  template<typename _InputIterator, typename _OutputIterator,
    typename _BinaryPredicate>
    _OutputIterator
    __unique_copy(_InputIterator __first, _InputIterator __last,
    _OutputIterator __result, _BinaryPredicate __binary_pred,
    input_iterator_tag, output_iterator_tag)
    {

     



      typename iterator_traits<_InputIterator>::value_type __value = *__first;
      __decltype(__gnu_cxx::__ops::__iter_comp_val(__binary_pred))
 __rebound_pred
 = __gnu_cxx::__ops::__iter_comp_val(__binary_pred);
      *__result = __value;
      while (++__first != __last)
 if (!__rebound_pred(__first, __value))
   {
     __value = *__first;
     *++__result = __value;
   }
      return ++__result;
    }







  template<typename _InputIterator, typename _ForwardIterator,
    typename _BinaryPredicate>
    _ForwardIterator
    __unique_copy(_InputIterator __first, _InputIterator __last,
    _ForwardIterator __result, _BinaryPredicate __binary_pred,
    input_iterator_tag, forward_iterator_tag)
    {

     


      *__result = *__first;
      while (++__first != __last)
 if (!__binary_pred(__result, __first))
   *++__result = *__first;
      return ++__result;
    }






  template<typename _BidirectionalIterator>
    void
    __reverse(_BidirectionalIterator __first, _BidirectionalIterator __last,
       bidirectional_iterator_tag)
    {
      while (true)
 if (__first == __last || __first == --__last)
   return;
 else
   {
     std::iter_swap(__first, __last);
     ++__first;
   }
    }






  template<typename _RandomAccessIterator>
    void
    __reverse(_RandomAccessIterator __first, _RandomAccessIterator __last,
       random_access_iterator_tag)
    {
      if (__first == __last)
 return;
      --__last;
      while (__first < __last)
 {
   std::iter_swap(__first, __last);
   ++__first;
   --__last;
 }
    }
# 1178 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator>
    inline void
    reverse(_BidirectionalIterator __first, _BidirectionalIterator __last)
    {

     

      ;
      std::__reverse(__first, __last, std::__iterator_category(__first));
    }
# 1205 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator, typename _OutputIterator>
    _OutputIterator
    reverse_copy(_BidirectionalIterator __first, _BidirectionalIterator __last,
   _OutputIterator __result)
    {

     

     

      ;

      while (__first != __last)
 {
   --__last;
   *__result = *__last;
   ++__result;
 }
      return __result;
    }





  template<typename _EuclideanRingElement>
    _EuclideanRingElement
    __gcd(_EuclideanRingElement __m, _EuclideanRingElement __n)
    {
      while (__n != 0)
 {
   _EuclideanRingElement __t = __m % __n;
   __m = __n;
   __n = __t;
 }
      return __m;
    }

  inline namespace _V2
  {


  template<typename _ForwardIterator>
    _ForwardIterator
    __rotate(_ForwardIterator __first,
      _ForwardIterator __middle,
      _ForwardIterator __last,
      forward_iterator_tag)
    {
      _ForwardIterator __first2 = __middle;
      do
 {
   std::iter_swap(__first, __first2);
   ++__first;
   ++__first2;
   if (__first == __middle)
     __middle = __first2;
 }
      while (__first2 != __last);

      _ForwardIterator __ret = __first;

      __first2 = __middle;

      while (__first2 != __last)
 {
   std::iter_swap(__first, __first2);
   ++__first;
   ++__first2;
   if (__first == __middle)
     __middle = __first2;
   else if (__first2 == __last)
     __first2 = __middle;
 }
      return __ret;
    }


  template<typename _BidirectionalIterator>
    _BidirectionalIterator
    __rotate(_BidirectionalIterator __first,
      _BidirectionalIterator __middle,
      _BidirectionalIterator __last,
       bidirectional_iterator_tag)
    {

     


      std::__reverse(__first, __middle, bidirectional_iterator_tag());
      std::__reverse(__middle, __last, bidirectional_iterator_tag());

      while (__first != __middle && __middle != __last)
 {
   std::iter_swap(__first, --__last);
   ++__first;
 }

      if (__first == __middle)
 {
   std::__reverse(__middle, __last, bidirectional_iterator_tag());
   return __last;
 }
      else
 {
   std::__reverse(__first, __middle, bidirectional_iterator_tag());
   return __first;
 }
    }


  template<typename _RandomAccessIterator>
    _RandomAccessIterator
    __rotate(_RandomAccessIterator __first,
      _RandomAccessIterator __middle,
      _RandomAccessIterator __last,
      random_access_iterator_tag)
    {

     


      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
 _Distance;
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
 _ValueType;

      _Distance __n = __last - __first;
      _Distance __k = __middle - __first;

      if (__k == __n - __k)
 {
   std::swap_ranges(__first, __middle, __middle);
   return __middle;
 }

      _RandomAccessIterator __p = __first;
      _RandomAccessIterator __ret = __first + (__last - __middle);

      for (;;)
 {
   if (__k < __n - __k)
     {
       if (__is_pod(_ValueType) && __k == 1)
  {
    _ValueType __t = std::move(*__p);
    std::move(__p + 1, __p + __n, __p);
    *(__p + __n - 1) = std::move(__t);
    return __ret;
  }
       _RandomAccessIterator __q = __p + __k;
       for (_Distance __i = 0; __i < __n - __k; ++ __i)
  {
    std::iter_swap(__p, __q);
    ++__p;
    ++__q;
  }
       __n %= __k;
       if (__n == 0)
  return __ret;
       std::swap(__n, __k);
       __k = __n - __k;
     }
   else
     {
       __k = __n - __k;
       if (__is_pod(_ValueType) && __k == 1)
  {
    _ValueType __t = std::move(*(__p + __n - 1));
    std::move_backward(__p, __p + __n - 1, __p + __n);
    *__p = std::move(__t);
    return __ret;
  }
       _RandomAccessIterator __q = __p + __n;
       __p = __q - __k;
       for (_Distance __i = 0; __i < __n - __k; ++ __i)
  {
    --__p;
    --__q;
    std::iter_swap(__p, __q);
  }
       __n %= __k;
       if (__n == 0)
  return __ret;
       std::swap(__n, __k);
     }
 }
    }
# 1417 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    inline _ForwardIterator
    rotate(_ForwardIterator __first, _ForwardIterator __middle,
    _ForwardIterator __last)
    {

     

      ;
      ;

      if (__first == __middle)
 return __last;
      else if (__last == __middle)
 return __first;

      return std::__rotate(__first, __middle, __last,
      std::__iterator_category(__first));
    }

  }
# 1459 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _OutputIterator>
    inline _OutputIterator
    rotate_copy(_ForwardIterator __first, _ForwardIterator __middle,
  _ForwardIterator __last, _OutputIterator __result)
    {

     
     

      ;
      ;

      return std::copy(__first, __middle,
         std::copy(__middle, __last, __result));
    }


  template<typename _ForwardIterator, typename _Predicate>
    _ForwardIterator
    __partition(_ForwardIterator __first, _ForwardIterator __last,
  _Predicate __pred, forward_iterator_tag)
    {
      if (__first == __last)
 return __first;

      while (__pred(*__first))
 if (++__first == __last)
   return __first;

      _ForwardIterator __next = __first;

      while (++__next != __last)
 if (__pred(*__next))
   {
     std::iter_swap(__first, __next);
     ++__first;
   }

      return __first;
    }


  template<typename _BidirectionalIterator, typename _Predicate>
    _BidirectionalIterator
    __partition(_BidirectionalIterator __first, _BidirectionalIterator __last,
  _Predicate __pred, bidirectional_iterator_tag)
    {
      while (true)
 {
   while (true)
     if (__first == __last)
       return __first;
     else if (__pred(*__first))
       ++__first;
     else
       break;
   --__last;
   while (true)
     if (__first == __last)
       return __first;
     else if (!bool(__pred(*__last)))
       --__last;
     else
       break;
   std::iter_swap(__first, __last);
   ++__first;
 }
    }
# 1536 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Pointer, typename _Predicate,
    typename _Distance>
    _ForwardIterator
    __stable_partition_adaptive(_ForwardIterator __first,
    _ForwardIterator __last,
    _Predicate __pred, _Distance __len,
    _Pointer __buffer,
    _Distance __buffer_size)
    {
      if (__len == 1)
 return __first;

      if (__len <= __buffer_size)
 {
   _ForwardIterator __result1 = __first;
   _Pointer __result2 = __buffer;




   *__result2 = std::move(*__first);
   ++__result2;
   ++__first;
   for (; __first != __last; ++__first)
     if (__pred(__first))
       {
  *__result1 = std::move(*__first);
  ++__result1;
       }
     else
       {
  *__result2 = std::move(*__first);
  ++__result2;
       }

   std::move(__buffer, __result2, __result1);
   return __result1;
 }

      _ForwardIterator __middle = __first;
      std::advance(__middle, __len / 2);
      _ForwardIterator __left_split =
 std::__stable_partition_adaptive(__first, __middle, __pred,
      __len / 2, __buffer,
      __buffer_size);



      _Distance __right_len = __len - __len / 2;
      _ForwardIterator __right_split =
 std::__find_if_not_n(__middle, __right_len, __pred);

      if (__right_len)
 __right_split =
   std::__stable_partition_adaptive(__right_split, __last, __pred,
        __right_len,
        __buffer, __buffer_size);

      return std::rotate(__left_split, __middle, __right_split);
    }

  template<typename _ForwardIterator, typename _Predicate>
    _ForwardIterator
    __stable_partition(_ForwardIterator __first, _ForwardIterator __last,
         _Predicate __pred)
    {
      __first = std::__find_if_not(__first, __last, __pred);

      if (__first == __last)
 return __first;

      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _Temporary_buffer<_ForwardIterator, _ValueType>
 __buf(__first, std::distance(__first, __last));
      return
 std::__stable_partition_adaptive(__first, __last, __pred,
      _DistanceType(__buf.requested_size()),
      __buf.begin(),
      _DistanceType(__buf.size()));
    }
# 1638 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Predicate>
    inline _ForwardIterator
    stable_partition(_ForwardIterator __first, _ForwardIterator __last,
       _Predicate __pred)
    {

     

     

      ;

      return std::__stable_partition(__first, __last,
         __gnu_cxx::__ops::__pred_iter(__pred));
    }


  template<typename _RandomAccessIterator, typename _Compare>
    void
    __heap_select(_RandomAccessIterator __first,
    _RandomAccessIterator __middle,
    _RandomAccessIterator __last, _Compare __comp)
    {
      std::__make_heap(__first, __middle, __comp);
      for (_RandomAccessIterator __i = __middle; __i < __last; ++__i)
 if (__comp(__i, __first))
   std::__pop_heap(__first, __middle, __i, __comp);
    }



  template<typename _InputIterator, typename _RandomAccessIterator,
    typename _Compare>
    _RandomAccessIterator
    __partial_sort_copy(_InputIterator __first, _InputIterator __last,
   _RandomAccessIterator __result_first,
   _RandomAccessIterator __result_last,
   _Compare __comp)
    {
      typedef typename iterator_traits<_InputIterator>::value_type
 _InputValueType;
      typedef iterator_traits<_RandomAccessIterator> _RItTraits;
      typedef typename _RItTraits::difference_type _DistanceType;

      if (__result_first == __result_last)
 return __result_last;
      _RandomAccessIterator __result_real_last = __result_first;
      while (__first != __last && __result_real_last != __result_last)
 {
   *__result_real_last = *__first;
   ++__result_real_last;
   ++__first;
 }

      std::__make_heap(__result_first, __result_real_last, __comp);
      while (__first != __last)
 {
   if (__comp(__first, __result_first))
     std::__adjust_heap(__result_first, _DistanceType(0),
          _DistanceType(__result_real_last
          - __result_first),
          _InputValueType(*__first), __comp);
   ++__first;
 }
      std::__sort_heap(__result_first, __result_real_last, __comp);
      return __result_real_last;
    }
# 1724 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _RandomAccessIterator>
    inline _RandomAccessIterator
    partial_sort_copy(_InputIterator __first, _InputIterator __last,
        _RandomAccessIterator __result_first,
        _RandomAccessIterator __result_last)
    {
# 1738 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
     
     

     

     
      ;
      ;
      ;

      return std::__partial_sort_copy(__first, __last,
          __result_first, __result_last,
          __gnu_cxx::__ops::__iter_less_iter());
    }
# 1773 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _RandomAccessIterator,
    typename _Compare>
    inline _RandomAccessIterator
    partial_sort_copy(_InputIterator __first, _InputIterator __last,
        _RandomAccessIterator __result_first,
        _RandomAccessIterator __result_last,
        _Compare __comp)
    {
# 1789 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
     
     

     

     

     

      ;
      ;
      ;

      return std::__partial_sort_copy(__first, __last,
          __result_first, __result_last,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }


  template<typename _RandomAccessIterator, typename _Compare>
    void
    __unguarded_linear_insert(_RandomAccessIterator __last,
         _Compare __comp)
    {
      typename iterator_traits<_RandomAccessIterator>::value_type
 __val = std::move(*__last);
      _RandomAccessIterator __next = __last;
      --__next;
      while (__comp(__val, __next))
 {
   *__last = std::move(*__next);
   __last = __next;
   --__next;
 }
      *__last = std::move(__val);
    }


  template<typename _RandomAccessIterator, typename _Compare>
    void
    __insertion_sort(_RandomAccessIterator __first,
       _RandomAccessIterator __last, _Compare __comp)
    {
      if (__first == __last) return;

      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
 {
   if (__comp(__i, __first))
     {
       typename iterator_traits<_RandomAccessIterator>::value_type
  __val = std::move(*__i);
       std::move_backward(__first, __i, __i + 1);
       *__first = std::move(__val);
     }
   else
     std::__unguarded_linear_insert(__i,
    __gnu_cxx::__ops::__val_comp_iter(__comp));
 }
    }


  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __unguarded_insertion_sort(_RandomAccessIterator __first,
          _RandomAccessIterator __last, _Compare __comp)
    {
      for (_RandomAccessIterator __i = __first; __i != __last; ++__i)
 std::__unguarded_linear_insert(__i,
    __gnu_cxx::__ops::__val_comp_iter(__comp));
    }





  enum { _S_threshold = 16 };


  template<typename _RandomAccessIterator, typename _Compare>
    void
    __final_insertion_sort(_RandomAccessIterator __first,
      _RandomAccessIterator __last, _Compare __comp)
    {
      if (__last - __first > int(_S_threshold))
 {
   std::__insertion_sort(__first, __first + int(_S_threshold), __comp);
   std::__unguarded_insertion_sort(__first + int(_S_threshold), __last,
       __comp);
 }
      else
 std::__insertion_sort(__first, __last, __comp);
    }


  template<typename _RandomAccessIterator, typename _Compare>
    _RandomAccessIterator
    __unguarded_partition(_RandomAccessIterator __first,
     _RandomAccessIterator __last,
     _RandomAccessIterator __pivot, _Compare __comp)
    {
      while (true)
 {
   while (__comp(__first, __pivot))
     ++__first;
   --__last;
   while (__comp(__pivot, __last))
     --__last;
   if (!(__first < __last))
     return __first;
   std::iter_swap(__first, __last);
   ++__first;
 }
    }


  template<typename _RandomAccessIterator, typename _Compare>
    inline _RandomAccessIterator
    __unguarded_partition_pivot(_RandomAccessIterator __first,
    _RandomAccessIterator __last, _Compare __comp)
    {
      _RandomAccessIterator __mid = __first + (__last - __first) / 2;
      std::__move_median_to_first(__first, __first + 1, __mid, __last - 1,
      __comp);
      return std::__unguarded_partition(__first + 1, __last, __first, __comp);
    }

  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __partial_sort(_RandomAccessIterator __first,
     _RandomAccessIterator __middle,
     _RandomAccessIterator __last,
     _Compare __comp)
    {
      std::__heap_select(__first, __middle, __last, __comp);
      std::__sort_heap(__first, __middle, __comp);
    }


  template<typename _RandomAccessIterator, typename _Size, typename _Compare>
    void
    __introsort_loop(_RandomAccessIterator __first,
       _RandomAccessIterator __last,
       _Size __depth_limit, _Compare __comp)
    {
      while (__last - __first > int(_S_threshold))
 {
   if (__depth_limit == 0)
     {
       std::__partial_sort(__first, __last, __last, __comp);
       return;
     }
   --__depth_limit;
   _RandomAccessIterator __cut =
     std::__unguarded_partition_pivot(__first, __last, __comp);
   std::__introsort_loop(__cut, __last, __depth_limit, __comp);
   __last = __cut;
 }
    }



  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
    _Compare __comp)
    {
      if (__first != __last)
 {
   std::__introsort_loop(__first, __last,
    std::__lg(__last - __first) * 2,
    __comp);
   std::__final_insertion_sort(__first, __last, __comp);
 }
    }

  template<typename _RandomAccessIterator, typename _Size, typename _Compare>
    void
    __introselect(_RandomAccessIterator __first, _RandomAccessIterator __nth,
    _RandomAccessIterator __last, _Size __depth_limit,
    _Compare __comp)
    {
      while (__last - __first > 3)
 {
   if (__depth_limit == 0)
     {
       std::__heap_select(__first, __nth + 1, __last, __comp);

       std::iter_swap(__first, __nth);
       return;
     }
   --__depth_limit;
   _RandomAccessIterator __cut =
     std::__unguarded_partition_pivot(__first, __last, __comp);
   if (__cut <= __nth)
     __first = __cut;
   else
     __last = __cut;
 }
      std::__insertion_sort(__first, __last, __comp);
    }
# 2010 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val, _Compare __comp)
    {

     
     

     
                    ;

      return std::__lower_bound(__first, __last, __val,
    __gnu_cxx::__ops::__iter_comp_val(__comp));
    }

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    _ForwardIterator
    __upper_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      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 (__comp(__val, __middle))
     __len = __half;
   else
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
 }
      return __first;
    }
# 2064 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    upper_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

      return std::__upper_bound(__first, __last, __val,
    __gnu_cxx::__ops::__val_less_iter());
    }
# 2094 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    inline _ForwardIterator
    upper_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val, _Compare __comp)
    {

     
     

     
                    ;

      return std::__upper_bound(__first, __last, __val,
    __gnu_cxx::__ops::__val_comp_iter(__comp));
    }

  template<typename _ForwardIterator, typename _Tp,
    typename _CompareItTp, typename _CompareTpIt>
    pair<_ForwardIterator, _ForwardIterator>
    __equal_range(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val,
    _CompareItTp __comp_it_val, _CompareTpIt __comp_val_it)
    {
      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 (__comp_it_val(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else if (__comp_val_it(__val, __middle))
     __len = __half;
   else
     {
       _ForwardIterator __left
  = std::__lower_bound(__first, __middle, __val, __comp_it_val);
       std::advance(__first, __len);
       _ForwardIterator __right
  = std::__upper_bound(++__middle, __first, __val, __comp_val_it);
       return pair<_ForwardIterator, _ForwardIterator>(__left, __right);
     }
 }
      return pair<_ForwardIterator, _ForwardIterator>(__first, __first);
    }
# 2165 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline pair<_ForwardIterator, _ForwardIterator>
    equal_range(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

     

      ;
      ;

      return std::__equal_range(__first, __last, __val,
    __gnu_cxx::__ops::__iter_less_val(),
    __gnu_cxx::__ops::__val_less_iter());
    }
# 2201 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    inline pair<_ForwardIterator, _ForwardIterator>
    equal_range(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val, _Compare __comp)
    {

     
     

     

     
                    ;
     
                    ;

      return std::__equal_range(__first, __last, __val,
    __gnu_cxx::__ops::__iter_comp_val(__comp),
    __gnu_cxx::__ops::__val_comp_iter(__comp));
    }
# 2234 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp>
    bool
    binary_search(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val)
    {

     
     

      ;
      ;

      _ForwardIterator __i
 = std::__lower_bound(__first, __last, __val,
        __gnu_cxx::__ops::__iter_less_val());
      return __i != __last && !(__val < *__i);
    }
# 2267 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    bool
    binary_search(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {

     
     

     
                    ;
     
                    ;

      _ForwardIterator __i
 = std::__lower_bound(__first, __last, __val,
        __gnu_cxx::__ops::__iter_comp_val(__comp));
      return __i != __last && !bool(__comp(__val, *__i));
    }




  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    void
    __move_merge_adaptive(_InputIterator1 __first1, _InputIterator1 __last1,
     _InputIterator2 __first2, _InputIterator2 __last2,
     _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 {
   if (__comp(__first2, __first1))
     {
       *__result = std::move(*__first2);
       ++__first2;
     }
   else
     {
       *__result = std::move(*__first1);
       ++__first1;
     }
   ++__result;
 }
      if (__first1 != __last1)
 std::move(__first1, __last1, __result);
    }


  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
    typename _BidirectionalIterator3, typename _Compare>
    void
    __move_merge_adaptive_backward(_BidirectionalIterator1 __first1,
       _BidirectionalIterator1 __last1,
       _BidirectionalIterator2 __first2,
       _BidirectionalIterator2 __last2,
       _BidirectionalIterator3 __result,
       _Compare __comp)
    {
      if (__first1 == __last1)
 {
   std::move_backward(__first2, __last2, __result);
   return;
 }
      else if (__first2 == __last2)
 return;

      --__last1;
      --__last2;
      while (true)
 {
   if (__comp(__last2, __last1))
     {
       *--__result = std::move(*__last1);
       if (__first1 == __last1)
  {
    std::move_backward(__first2, ++__last2, __result);
    return;
  }
       --__last1;
     }
   else
     {
       *--__result = std::move(*__last2);
       if (__first2 == __last2)
  return;
       --__last2;
     }
 }
    }


  template<typename _BidirectionalIterator1, typename _BidirectionalIterator2,
    typename _Distance>
    _BidirectionalIterator1
    __rotate_adaptive(_BidirectionalIterator1 __first,
        _BidirectionalIterator1 __middle,
        _BidirectionalIterator1 __last,
        _Distance __len1, _Distance __len2,
        _BidirectionalIterator2 __buffer,
        _Distance __buffer_size)
    {
      _BidirectionalIterator2 __buffer_end;
      if (__len1 > __len2 && __len2 <= __buffer_size)
 {
   if (__len2)
     {
       __buffer_end = std::move(__middle, __last, __buffer);
       std::move_backward(__first, __middle, __last);
       return std::move(__buffer, __buffer_end, __first);
     }
   else
     return __first;
 }
      else if (__len1 <= __buffer_size)
 {
   if (__len1)
     {
       __buffer_end = std::move(__first, __middle, __buffer);
       std::move(__middle, __last, __first);
       return std::move_backward(__buffer, __buffer_end, __last);
     }
   else
     return __last;
 }
      else
 return std::rotate(__first, __middle, __last);
    }


  template<typename _BidirectionalIterator, typename _Distance,
    typename _Pointer, typename _Compare>
    void
    __merge_adaptive(_BidirectionalIterator __first,
       _BidirectionalIterator __middle,
       _BidirectionalIterator __last,
       _Distance __len1, _Distance __len2,
       _Pointer __buffer, _Distance __buffer_size,
       _Compare __comp)
    {
      if (__len1 <= __len2 && __len1 <= __buffer_size)
 {
   _Pointer __buffer_end = std::move(__first, __middle, __buffer);
   std::__move_merge_adaptive(__buffer, __buffer_end, __middle, __last,
         __first, __comp);
 }
      else if (__len2 <= __buffer_size)
 {
   _Pointer __buffer_end = std::move(__middle, __last, __buffer);
   std::__move_merge_adaptive_backward(__first, __middle, __buffer,
           __buffer_end, __last, __comp);
 }
      else
 {
   _BidirectionalIterator __first_cut = __first;
   _BidirectionalIterator __second_cut = __middle;
   _Distance __len11 = 0;
   _Distance __len22 = 0;
   if (__len1 > __len2)
     {
       __len11 = __len1 / 2;
       std::advance(__first_cut, __len11);
       __second_cut
  = std::__lower_bound(__middle, __last, *__first_cut,
         __gnu_cxx::__ops::__iter_comp_val(__comp));
       __len22 = std::distance(__middle, __second_cut);
     }
   else
     {
       __len22 = __len2 / 2;
       std::advance(__second_cut, __len22);
       __first_cut
  = std::__upper_bound(__first, __middle, *__second_cut,
         __gnu_cxx::__ops::__val_comp_iter(__comp));
       __len11 = std::distance(__first, __first_cut);
     }

   _BidirectionalIterator __new_middle
     = std::__rotate_adaptive(__first_cut, __middle, __second_cut,
         __len1 - __len11, __len22, __buffer,
         __buffer_size);
   std::__merge_adaptive(__first, __first_cut, __new_middle, __len11,
    __len22, __buffer, __buffer_size, __comp);
   std::__merge_adaptive(__new_middle, __second_cut, __last,
    __len1 - __len11,
    __len2 - __len22, __buffer,
    __buffer_size, __comp);
 }
    }


  template<typename _BidirectionalIterator, typename _Distance,
    typename _Compare>
    void
    __merge_without_buffer(_BidirectionalIterator __first,
      _BidirectionalIterator __middle,
      _BidirectionalIterator __last,
      _Distance __len1, _Distance __len2,
      _Compare __comp)
    {
      if (__len1 == 0 || __len2 == 0)
 return;

      if (__len1 + __len2 == 2)
 {
   if (__comp(__middle, __first))
     std::iter_swap(__first, __middle);
   return;
 }

      _BidirectionalIterator __first_cut = __first;
      _BidirectionalIterator __second_cut = __middle;
      _Distance __len11 = 0;
      _Distance __len22 = 0;
      if (__len1 > __len2)
 {
   __len11 = __len1 / 2;
   std::advance(__first_cut, __len11);
   __second_cut
     = std::__lower_bound(__middle, __last, *__first_cut,
     __gnu_cxx::__ops::__iter_comp_val(__comp));
   __len22 = std::distance(__middle, __second_cut);
 }
      else
 {
   __len22 = __len2 / 2;
   std::advance(__second_cut, __len22);
   __first_cut
     = std::__upper_bound(__first, __middle, *__second_cut,
     __gnu_cxx::__ops::__val_comp_iter(__comp));
   __len11 = std::distance(__first, __first_cut);
 }

      _BidirectionalIterator __new_middle
 = std::rotate(__first_cut, __middle, __second_cut);
      std::__merge_without_buffer(__first, __first_cut, __new_middle,
      __len11, __len22, __comp);
      std::__merge_without_buffer(__new_middle, __second_cut, __last,
      __len1 - __len11, __len2 - __len22, __comp);
    }

  template<typename _BidirectionalIterator, typename _Compare>
    void
    __inplace_merge(_BidirectionalIterator __first,
      _BidirectionalIterator __middle,
      _BidirectionalIterator __last,
      _Compare __comp)
    {
      typedef typename iterator_traits<_BidirectionalIterator>::value_type
   _ValueType;
      typedef typename iterator_traits<_BidirectionalIterator>::difference_type
   _DistanceType;

      if (__first == __middle || __middle == __last)
 return;

      const _DistanceType __len1 = std::distance(__first, __middle);
      const _DistanceType __len2 = std::distance(__middle, __last);

      typedef _Temporary_buffer<_BidirectionalIterator, _ValueType> _TmpBuf;
      _TmpBuf __buf(__first, __len1 + __len2);

      if (__buf.begin() == 0)
 std::__merge_without_buffer
   (__first, __middle, __last, __len1, __len2, __comp);
      else
 std::__merge_adaptive
   (__first, __middle, __last, __len1, __len2, __buf.begin(),
    _DistanceType(__buf.size()), __comp);
    }
# 2556 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator>
    inline void
    inplace_merge(_BidirectionalIterator __first,
    _BidirectionalIterator __middle,
    _BidirectionalIterator __last)
    {

     

     

      ;
      ;
      ;

      std::__inplace_merge(__first, __middle, __last,
      __gnu_cxx::__ops::__iter_less_iter());
    }
# 2597 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator, typename _Compare>
    inline void
    inplace_merge(_BidirectionalIterator __first,
    _BidirectionalIterator __middle,
    _BidirectionalIterator __last,
    _Compare __comp)
    {

     

     


      ;
      ;
      ;

      std::__inplace_merge(__first, __middle, __last,
      __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }



  template<typename _InputIterator, typename _OutputIterator,
    typename _Compare>
    _OutputIterator
    __move_merge(_InputIterator __first1, _InputIterator __last1,
   _InputIterator __first2, _InputIterator __last2,
   _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 {
   if (__comp(__first2, __first1))
     {
       *__result = std::move(*__first2);
       ++__first2;
     }
   else
     {
       *__result = std::move(*__first1);
       ++__first1;
     }
   ++__result;
 }
      return std::move(__first2, __last2, std::move(__first1, __last1, __result))

                  ;
    }

  template<typename _RandomAccessIterator1, typename _RandomAccessIterator2,
    typename _Distance, typename _Compare>
    void
    __merge_sort_loop(_RandomAccessIterator1 __first,
        _RandomAccessIterator1 __last,
        _RandomAccessIterator2 __result, _Distance __step_size,
        _Compare __comp)
    {
      const _Distance __two_step = 2 * __step_size;

      while (__last - __first >= __two_step)
 {
   __result = std::__move_merge(__first, __first + __step_size,
           __first + __step_size,
           __first + __two_step,
           __result, __comp);
   __first += __two_step;
 }
      __step_size = std::min(_Distance(__last - __first), __step_size);

      std::__move_merge(__first, __first + __step_size,
   __first + __step_size, __last, __result, __comp);
    }

  template<typename _RandomAccessIterator, typename _Distance,
    typename _Compare>
    void
    __chunk_insertion_sort(_RandomAccessIterator __first,
      _RandomAccessIterator __last,
      _Distance __chunk_size, _Compare __comp)
    {
      while (__last - __first >= __chunk_size)
 {
   std::__insertion_sort(__first, __first + __chunk_size, __comp);
   __first += __chunk_size;
 }
      std::__insertion_sort(__first, __last, __comp);
    }

  enum { _S_chunk_size = 7 };

  template<typename _RandomAccessIterator, typename _Pointer, typename _Compare>
    void
    __merge_sort_with_buffer(_RandomAccessIterator __first,
        _RandomAccessIterator __last,
        _Pointer __buffer, _Compare __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
 _Distance;

      const _Distance __len = __last - __first;
      const _Pointer __buffer_last = __buffer + __len;

      _Distance __step_size = _S_chunk_size;
      std::__chunk_insertion_sort(__first, __last, __step_size, __comp);

      while (__step_size < __len)
 {
   std::__merge_sort_loop(__first, __last, __buffer,
     __step_size, __comp);
   __step_size *= 2;
   std::__merge_sort_loop(__buffer, __buffer_last, __first,
     __step_size, __comp);
   __step_size *= 2;
 }
    }

  template<typename _RandomAccessIterator, typename _Pointer,
    typename _Distance, typename _Compare>
    void
    __stable_sort_adaptive(_RandomAccessIterator __first,
      _RandomAccessIterator __last,
      _Pointer __buffer, _Distance __buffer_size,
      _Compare __comp)
    {
      const _Distance __len = (__last - __first + 1) / 2;
      const _RandomAccessIterator __middle = __first + __len;
      if (__len > __buffer_size)
 {
   std::__stable_sort_adaptive(__first, __middle, __buffer,
          __buffer_size, __comp);
   std::__stable_sort_adaptive(__middle, __last, __buffer,
          __buffer_size, __comp);
 }
      else
 {
   std::__merge_sort_with_buffer(__first, __middle, __buffer, __comp);
   std::__merge_sort_with_buffer(__middle, __last, __buffer, __comp);
 }
      std::__merge_adaptive(__first, __middle, __last,
       _Distance(__middle - __first),
       _Distance(__last - __middle),
       __buffer, __buffer_size,
       __comp);
    }


  template<typename _RandomAccessIterator, typename _Compare>
    void
    __inplace_stable_sort(_RandomAccessIterator __first,
     _RandomAccessIterator __last, _Compare __comp)
    {
      if (__last - __first < 15)
 {
   std::__insertion_sort(__first, __last, __comp);
   return;
 }
      _RandomAccessIterator __middle = __first + (__last - __first) / 2;
      std::__inplace_stable_sort(__first, __middle, __comp);
      std::__inplace_stable_sort(__middle, __last, __comp);
      std::__merge_without_buffer(__first, __middle, __last,
      __middle - __first,
      __last - __middle,
      __comp);
    }
# 2769 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _Compare>
    bool
    __includes(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 if (__comp(__first2, __first1))
   return false;
 else if (__comp(__first1, __first2))
   ++__first1;
 else
   {
     ++__first1;
     ++__first2;
   }

      return __first2 == __last2;
    }
# 2808 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    inline bool
    includes(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


     


      ;
      ;
      ;
      ;

      return std::__includes(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_less_iter());
    }
# 2852 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _Compare>
    inline bool
    includes(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _Compare __comp)
    {

     
     
     


     


      ;
      ;
      ;
      ;

      return std::__includes(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 2887 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator, typename _Compare>
    bool
    __next_permutation(_BidirectionalIterator __first,
         _BidirectionalIterator __last, _Compare __comp)
    {
      if (__first == __last)
 return false;
      _BidirectionalIterator __i = __first;
      ++__i;
      if (__i == __last)
 return false;
      __i = __last;
      --__i;

      for(;;)
 {
   _BidirectionalIterator __ii = __i;
   --__i;
   if (__comp(__i, __ii))
     {
       _BidirectionalIterator __j = __last;
       while (!__comp(__i, --__j))
  {}
       std::iter_swap(__i, __j);
       std::__reverse(__ii, __last,
        std::__iterator_category(__first));
       return true;
     }
   if (__i == __first)
     {
       std::__reverse(__first, __last,
        std::__iterator_category(__first));
       return false;
     }
 }
    }
# 2936 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator>
    inline bool
    next_permutation(_BidirectionalIterator __first,
       _BidirectionalIterator __last)
    {

     

     

      ;
      ;

      return std::__next_permutation
 (__first, __last, __gnu_cxx::__ops::__iter_less_iter());
    }
# 2968 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator, typename _Compare>
    inline bool
    next_permutation(_BidirectionalIterator __first,
       _BidirectionalIterator __last, _Compare __comp)
    {

     

     


      ;
      ;

      return std::__next_permutation
 (__first, __last, __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _BidirectionalIterator, typename _Compare>
    bool
    __prev_permutation(_BidirectionalIterator __first,
         _BidirectionalIterator __last, _Compare __comp)
    {
      if (__first == __last)
 return false;
      _BidirectionalIterator __i = __first;
      ++__i;
      if (__i == __last)
 return false;
      __i = __last;
      --__i;

      for(;;)
 {
   _BidirectionalIterator __ii = __i;
   --__i;
   if (__comp(__ii, __i))
     {
       _BidirectionalIterator __j = __last;
       while (!__comp(--__j, __i))
  {}
       std::iter_swap(__i, __j);
       std::__reverse(__ii, __last,
        std::__iterator_category(__first));
       return true;
     }
   if (__i == __first)
     {
       std::__reverse(__first, __last,
        std::__iterator_category(__first));
       return false;
     }
 }
    }
# 3036 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator>
    inline bool
    prev_permutation(_BidirectionalIterator __first,
       _BidirectionalIterator __last)
    {

     

     

      ;
      ;

      return std::__prev_permutation(__first, __last,
         __gnu_cxx::__ops::__iter_less_iter());
    }
# 3068 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _BidirectionalIterator, typename _Compare>
    inline bool
    prev_permutation(_BidirectionalIterator __first,
       _BidirectionalIterator __last, _Compare __comp)
    {

     

     


      ;
      ;

      return std::__prev_permutation(__first, __last,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }




  template<typename _InputIterator, typename _OutputIterator,
    typename _Predicate, typename _Tp>
    _OutputIterator
    __replace_copy_if(_InputIterator __first, _InputIterator __last,
        _OutputIterator __result,
        _Predicate __pred, const _Tp& __new_value)
    {
      for (; __first != __last; ++__first, (void)++__result)
 if (__pred(__first))
   *__result = __new_value;
 else
   *__result = *__first;
      return __result;
    }
# 3118 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator, typename _Tp>
    inline _OutputIterator
    replace_copy(_InputIterator __first, _InputIterator __last,
   _OutputIterator __result,
   const _Tp& __old_value, const _Tp& __new_value)
    {

     
     

     

      ;

      return std::__replace_copy_if(__first, __last, __result,
   __gnu_cxx::__ops::__iter_equals_val(__old_value),
           __new_value);
    }
# 3152 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator,
    typename _Predicate, typename _Tp>
    inline _OutputIterator
    replace_copy_if(_InputIterator __first, _InputIterator __last,
      _OutputIterator __result,
      _Predicate __pred, const _Tp& __new_value)
    {

     
     

     

      ;

      return std::__replace_copy_if(__first, __last, __result,
    __gnu_cxx::__ops::__pred_iter(__pred),
           __new_value);
    }

  template<typename _InputIterator, typename _Predicate>
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
 if (__pred(__first))
   ++__n;
      return __n;
    }
# 3191 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    inline bool
    is_sorted(_ForwardIterator __first, _ForwardIterator __last)
    { return std::is_sorted_until(__first, __last) == __last; }
# 3205 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Compare>
    inline bool
    is_sorted(_ForwardIterator __first, _ForwardIterator __last,
       _Compare __comp)
    { return std::is_sorted_until(__first, __last, __comp) == __last; }

  template<typename _ForwardIterator, typename _Compare>
    _ForwardIterator
    __is_sorted_until(_ForwardIterator __first, _ForwardIterator __last,
        _Compare __comp)
    {
      if (__first == __last)
 return __last;

      _ForwardIterator __next = __first;
      for (++__next; __next != __last; __first = __next, (void)++__next)
 if (__comp(__next, __first))
   return __next;
      return __next;
    }
# 3234 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    inline _ForwardIterator
    is_sorted_until(_ForwardIterator __first, _ForwardIterator __last)
    {

     
     

      ;
      ;

      return std::__is_sorted_until(__first, __last,
        __gnu_cxx::__ops::__iter_less_iter());
    }
# 3258 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Compare>
    inline _ForwardIterator
    is_sorted_until(_ForwardIterator __first, _ForwardIterator __last,
      _Compare __comp)
    {

     
     


      ;
      ;

      return std::__is_sorted_until(__first, __last,
        __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 3283 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _Tp>
    constexpr
    inline pair<const _Tp&, const _Tp&>
    minmax(const _Tp& __a, const _Tp& __b)
    {

     

      return __b < __a ? pair<const _Tp&, const _Tp&>(__b, __a)
         : pair<const _Tp&, const _Tp&>(__a, __b);
    }
# 3304 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline pair<const _Tp&, const _Tp&>
    minmax(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {
      return __comp(__b, __a) ? pair<const _Tp&, const _Tp&>(__b, __a)
         : pair<const _Tp&, const _Tp&>(__a, __b);
    }

  template<typename _ForwardIterator, typename _Compare>
    constexpr
    pair<_ForwardIterator, _ForwardIterator>
    __minmax_element(_ForwardIterator __first, _ForwardIterator __last,
       _Compare __comp)
    {
      _ForwardIterator __next = __first;
      if (__first == __last
   || ++__next == __last)
 return std::make_pair(__first, __first);

      _ForwardIterator __min{}, __max{};
      if (__comp(__next, __first))
 {
   __min = __next;
   __max = __first;
 }
      else
 {
   __min = __first;
   __max = __next;
 }

      __first = __next;
      ++__first;

      while (__first != __last)
 {
   __next = __first;
   if (++__next == __last)
     {
       if (__comp(__first, __min))
  __min = __first;
       else if (!__comp(__first, __max))
  __max = __first;
       break;
     }

   if (__comp(__next, __first))
     {
       if (__comp(__next, __min))
  __min = __next;
       if (!__comp(__first, __max))
  __max = __first;
     }
   else
     {
       if (__comp(__first, __min))
  __min = __first;
       if (!__comp(__next, __max))
  __max = __next;
     }

   __first = __next;
   ++__first;
 }

      return std::make_pair(__min, __max);
    }
# 3384 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    constexpr
    inline pair<_ForwardIterator, _ForwardIterator>
    minmax_element(_ForwardIterator __first, _ForwardIterator __last)
    {

     
     

      ;
      ;

      return std::__minmax_element(__first, __last,
       __gnu_cxx::__ops::__iter_less_iter());
    }
# 3412 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Compare>
    constexpr
    inline pair<_ForwardIterator, _ForwardIterator>
    minmax_element(_ForwardIterator __first, _ForwardIterator __last,
     _Compare __comp)
    {

     
     


      ;
      ;

      return std::__minmax_element(__first, __last,
       __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }


  template<typename _Tp>
    constexpr
    inline _Tp
    min(initializer_list<_Tp> __l)
    { return *std::min_element(__l.begin(), __l.end()); }

  template<typename _Tp, typename _Compare>
    constexpr
    inline _Tp
    min(initializer_list<_Tp> __l, _Compare __comp)
    { return *std::min_element(__l.begin(), __l.end(), __comp); }

  template<typename _Tp>
    constexpr
    inline _Tp
    max(initializer_list<_Tp> __l)
    { return *std::max_element(__l.begin(), __l.end()); }

  template<typename _Tp, typename _Compare>
    constexpr
    inline _Tp
    max(initializer_list<_Tp> __l, _Compare __comp)
    { return *std::max_element(__l.begin(), __l.end(), __comp); }

  template<typename _Tp>
    constexpr
    inline pair<_Tp, _Tp>
    minmax(initializer_list<_Tp> __l)
    {
      pair<const _Tp*, const _Tp*> __p =
 std::minmax_element(__l.begin(), __l.end());
      return std::make_pair(*__p.first, *__p.second);
    }

  template<typename _Tp, typename _Compare>
    constexpr
    inline pair<_Tp, _Tp>
    minmax(initializer_list<_Tp> __l, _Compare __comp)
    {
      pair<const _Tp*, const _Tp*> __p =
 std::minmax_element(__l.begin(), __l.end(), __comp);
      return std::make_pair(*__p.first, *__p.second);
    }

  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {


      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__first1 == __last1)
 return true;



      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
     __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches
     = std::__count_if(__first2, __last2,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches ||
       std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 3524 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 3555 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_comp_iter(__pred));
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _ForwardIterator2 __last2,
       _BinaryPredicate __pred)
    {
      using _Cat1
 = typename iterator_traits<_ForwardIterator1>::iterator_category;
      using _Cat2
 = typename iterator_traits<_ForwardIterator2>::iterator_category;
      using _It1_is_RA = is_same<_Cat1, random_access_iterator_tag>;
      using _It2_is_RA = is_same<_Cat2, random_access_iterator_tag>;
      constexpr bool __ra_iters = _It1_is_RA() && _It2_is_RA();
      if (__ra_iters)
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
 }



      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__ra_iters)
 {
   if (__first1 == __last1)
     return true;
 }
      else
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 == 0 && __d2 == 0)
     return true;
   if (__d1 != __d2)
     return false;
 }

      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches = std::__count_if(__first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches
       || std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 3648 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2, _ForwardIterator2 __last2)
    {
      ;
      ;

      return
 std::__is_permutation(__first1, __last1, __first2, __last2,
         __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 3675 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2, _ForwardIterator2 __last2,
     _BinaryPredicate __pred)
    {
      ;
      ;

      return std::__is_permutation(__first1, __last1, __first2, __last2,
       __gnu_cxx::__ops::__iter_comp_iter(__pred));
    }
# 3701 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _Tp>
    constexpr const _Tp&
    clamp(const _Tp& __val, const _Tp& __lo, const _Tp& __hi)
    {
      ;
      return (__val < __lo) ? __lo : (__hi < __val) ? __hi : __val;
    }
# 3719 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _Tp, typename _Compare>
    constexpr const _Tp&
    clamp(const _Tp& __val, const _Tp& __lo, const _Tp& __hi, _Compare __comp)
    {
      ;
      return __comp(__val, __lo) ? __lo : __comp(__hi, __val) ? __hi : __val;
    }
# 3751 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _IntType, typename _UniformRandomBitGenerator>
    pair<_IntType, _IntType>
    __gen_two_uniform_ints(_IntType __b0, _IntType __b1,
      _UniformRandomBitGenerator&& __g)
    {
      _IntType __x
 = uniform_int_distribution<_IntType>{0, (__b0 * __b1) - 1}(__g);
      return std::make_pair(__x / __b1, __x % __b1);
    }
# 3773 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator,
    typename _UniformRandomNumberGenerator>
    void
    shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last,
     _UniformRandomNumberGenerator&& __g)
    {

     

      ;

      if (__first == __last)
 return;

      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
 _DistanceType;

      typedef typename std::make_unsigned<_DistanceType>::type __ud_type;
      typedef typename std::uniform_int_distribution<__ud_type> __distr_type;
      typedef typename __distr_type::param_type __p_type;

      typedef typename remove_reference<_UniformRandomNumberGenerator>::type
 _Gen;
      typedef typename common_type<typename _Gen::result_type, __ud_type>::type
 __uc_type;

      const __uc_type __urngrange = __g.max() - __g.min();
      const __uc_type __urange = __uc_type(__last - __first);

      if (__urngrange / __urange >= __urange)

      {
 _RandomAccessIterator __i = __first + 1;





 if ((__urange % 2) == 0)
 {
   __distr_type __d{0, 1};
   std::iter_swap(__i++, __first + __d(__g));
 }





 while (__i != __last)
 {
   const __uc_type __swap_range = __uc_type(__i - __first) + 1;

   const pair<__uc_type, __uc_type> __pospos =
     __gen_two_uniform_ints(__swap_range, __swap_range + 1, __g);

   std::iter_swap(__i++, __first + __pospos.first);
   std::iter_swap(__i++, __first + __pospos.second);
 }

 return;
      }

      __distr_type __d;

      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
 std::iter_swap(__i, __first + __d(__g, __p_type(0, __i - __first)));
    }





# 3858 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Function>
    _Function
    for_each(_InputIterator __first, _InputIterator __last, _Function __f)
    {

     
      ;
      for (; __first != __last; ++__first)
 __f(*__first);
      return __f;
    }
# 3879 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Tp>
    inline _InputIterator
    find(_InputIterator __first, _InputIterator __last,
  const _Tp& __val)
    {

     
     

      ;
      return std::__find_if(__first, __last,
       __gnu_cxx::__ops::__iter_equals_val(__val));
    }
# 3903 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline _InputIterator
    find_if(_InputIterator __first, _InputIterator __last,
     _Predicate __pred)
    {

     
     

      ;

      return std::__find_if(__first, __last,
       __gnu_cxx::__ops::__pred_iter(__pred));
    }
# 3934 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _ForwardIterator>
    _InputIterator
    find_first_of(_InputIterator __first1, _InputIterator __last1,
    _ForwardIterator __first2, _ForwardIterator __last2)
    {

     
     
     


      ;
      ;

      for (; __first1 != __last1; ++__first1)
 for (_ForwardIterator __iter = __first2; __iter != __last2; ++__iter)
   if (*__first1 == *__iter)
     return __first1;
      return __last1;
    }
# 3974 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _ForwardIterator,
    typename _BinaryPredicate>
    _InputIterator
    find_first_of(_InputIterator __first1, _InputIterator __last1,
    _ForwardIterator __first2, _ForwardIterator __last2,
    _BinaryPredicate __comp)
    {

     
     
     


      ;
      ;

      for (; __first1 != __last1; ++__first1)
 for (_ForwardIterator __iter = __first2; __iter != __last2; ++__iter)
   if (__comp(*__first1, *__iter))
     return __first1;
      return __last1;
    }
# 4006 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    inline _ForwardIterator
    adjacent_find(_ForwardIterator __first, _ForwardIterator __last)
    {

     
     

      ;

      return std::__adjacent_find(__first, __last,
      __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 4031 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _BinaryPredicate>
    inline _ForwardIterator
    adjacent_find(_ForwardIterator __first, _ForwardIterator __last,
    _BinaryPredicate __binary_pred)
    {

     
     


      ;

      return std::__adjacent_find(__first, __last,
   __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }
# 4056 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Tp>
    inline typename iterator_traits<_InputIterator>::difference_type
    count(_InputIterator __first, _InputIterator __last, const _Tp& __value)
    {

     
     

      ;

      return std::__count_if(__first, __last,
        __gnu_cxx::__ops::__iter_equals_val(__value));
    }
# 4079 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _Predicate>
    inline typename iterator_traits<_InputIterator>::difference_type
    count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {

     
     

      ;

      return std::__count_if(__first, __last,
        __gnu_cxx::__ops::__pred_iter(__pred));
    }
# 4119 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline _ForwardIterator1
    search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
    _ForwardIterator2 __first2, _ForwardIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__search(__first1, __last1, __first2, __last2,
      __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 4158 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
    inline _ForwardIterator1
    search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
    _ForwardIterator2 __first2, _ForwardIterator2 __last2,
    _BinaryPredicate __predicate)
    {

     
     
     


      ;
      ;

      return std::__search(__first1, __last1, __first2, __last2,
      __gnu_cxx::__ops::__iter_comp_iter(__predicate));
    }
# 4193 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Integer, typename _Tp>
    inline _ForwardIterator
    search_n(_ForwardIterator __first, _ForwardIterator __last,
      _Integer __count, const _Tp& __val)
    {

     
     

      ;

      return std::__search_n(__first, __last, __count,
        __gnu_cxx::__ops::__iter_equals_val(__val));
    }
# 4226 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Integer, typename _Tp,
    typename _BinaryPredicate>
    inline _ForwardIterator
    search_n(_ForwardIterator __first, _ForwardIterator __last,
      _Integer __count, const _Tp& __val,
      _BinaryPredicate __binary_pred)
    {

     
     

      ;

      return std::__search_n(__first, __last, __count,
  __gnu_cxx::__ops::__iter_comp_val(__binary_pred, __val));
    }
# 4251 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Searcher>
    inline _ForwardIterator
    search(_ForwardIterator __first, _ForwardIterator __last,
    const _Searcher& __searcher)
    { return __searcher(__first, __last).first; }
# 4274 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator,
    typename _UnaryOperation>
    _OutputIterator
    transform(_InputIterator __first, _InputIterator __last,
       _OutputIterator __result, _UnaryOperation __unary_op)
    {

     
     


      ;

      for (; __first != __last; ++__first, (void)++__result)
 *__result = __unary_op(*__first);
      return __result;
    }
# 4311 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _BinaryOperation>
    _OutputIterator
    transform(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _OutputIterator __result,
       _BinaryOperation __binary_op)
    {

     
     
     


      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2, ++__result)
 *__result = __binary_op(*__first1, *__first2);
      return __result;
    }
# 4344 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Tp>
    void
    replace(_ForwardIterator __first, _ForwardIterator __last,
     const _Tp& __old_value, const _Tp& __new_value)
    {

     

     

     

      ;

      for (; __first != __last; ++__first)
 if (*__first == __old_value)
   *__first = __new_value;
    }
# 4376 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Predicate, typename _Tp>
    void
    replace_if(_ForwardIterator __first, _ForwardIterator __last,
        _Predicate __pred, const _Tp& __new_value)
    {

     

     

     

      ;

      for (; __first != __last; ++__first)
 if (__pred(*__first))
   *__first = __new_value;
    }
# 4408 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Generator>
    void
    generate(_ForwardIterator __first, _ForwardIterator __last,
      _Generator __gen)
    {

     
     

      ;

      for (; __first != __last; ++__first)
 *__first = __gen();
    }
# 4439 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _OutputIterator, typename _Size, typename _Generator>
    _OutputIterator
    generate_n(_OutputIterator __first, _Size __n, _Generator __gen)
    {

     



      for (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, (void) ++__first)
 *__first = __gen();
      return __first;
    }
# 4475 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator>
    inline _OutputIterator
    unique_copy(_InputIterator __first, _InputIterator __last,
  _OutputIterator __result)
    {

     
     

     

      ;

      if (__first == __last)
 return __result;
      return std::__unique_copy(__first, __last, __result,
    __gnu_cxx::__ops::__iter_equal_to_iter(),
    std::__iterator_category(__first),
    std::__iterator_category(__result));
    }
# 4515 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator, typename _OutputIterator,
    typename _BinaryPredicate>
    inline _OutputIterator
    unique_copy(_InputIterator __first, _InputIterator __last,
  _OutputIterator __result,
  _BinaryPredicate __binary_pred)
    {

     
     

      ;

      if (__first == __last)
 return __result;
      return std::__unique_copy(__first, __last, __result,
   __gnu_cxx::__ops::__iter_comp_iter(__binary_pred),
    std::__iterator_category(__first),
    std::__iterator_category(__result));
    }
# 4548 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator>
    inline void
    random_shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

      ;

      if (__first != __last)
 for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
   {

     _RandomAccessIterator __j = __first
     + std::rand() % ((__i - __first) + 1);
     if (__i != __j)
       std::iter_swap(__i, __j);
   }
    }
# 4583 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator, typename _RandomNumberGenerator>
    void
    random_shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last,

     _RandomNumberGenerator&& __rand)



    {

     

      ;

      if (__first == __last)
 return;
      for (_RandomAccessIterator __i = __first + 1; __i != __last; ++__i)
 {
   _RandomAccessIterator __j = __first + __rand((__i - __first) + 1);
   if (__i != __j)
     std::iter_swap(__i, __j);
 }
    }
# 4623 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Predicate>
    inline _ForwardIterator
    partition(_ForwardIterator __first, _ForwardIterator __last,
       _Predicate __pred)
    {

     

     

      ;

      return std::__partition(__first, __last, __pred,
         std::__iterator_category(__first));
    }
# 4656 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator>
    inline void
    partial_sort(_RandomAccessIterator __first,
   _RandomAccessIterator __middle,
   _RandomAccessIterator __last)
    {

     

     

      ;
      ;
      ;

      std::__partial_sort(__first, __middle, __last,
     __gnu_cxx::__ops::__iter_less_iter());
    }
# 4694 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    partial_sort(_RandomAccessIterator __first,
   _RandomAccessIterator __middle,
   _RandomAccessIterator __last,
   _Compare __comp)
    {

     

     


      ;
      ;
      ;

      std::__partial_sort(__first, __middle, __last,
     __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 4730 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator>
    inline void
    nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth,
  _RandomAccessIterator __last)
    {

     

     

      ;
      ;
      ;

      if (__first == __last || __nth == __last)
 return;

      std::__introselect(__first, __nth, __last,
    std::__lg(__last - __first) * 2,
    __gnu_cxx::__ops::__iter_less_iter());
    }
# 4769 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth,
  _RandomAccessIterator __last, _Compare __comp)
    {

     

     


      ;
      ;
      ;

      if (__first == __last || __nth == __last)
 return;

      std::__introselect(__first, __nth, __last,
    std::__lg(__last - __first) * 2,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 4806 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator>
    inline void
    sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;

      std::__sort(__first, __last, __gnu_cxx::__ops::__iter_less_iter());
    }
# 4836 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
  _Compare __comp)
    {

     

     


      ;
      ;

      std::__sort(__first, __last, __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    _OutputIterator
    __merge(_InputIterator1 __first1, _InputIterator1 __last1,
     _InputIterator2 __first2, _InputIterator2 __last2,
     _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 {
   if (__comp(__first2, __first1))
     {
       *__result = *__first2;
       ++__first2;
     }
   else
     {
       *__result = *__first1;
       ++__first1;
     }
   ++__result;
 }
      return std::copy(__first2, __last2,
         std::copy(__first1, __last1, __result));
    }
# 4897 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator>
    inline _OutputIterator
    merge(_InputIterator1 __first1, _InputIterator1 __last1,
   _InputIterator2 __first2, _InputIterator2 __last2,
   _OutputIterator __result)
    {

     
     
     

     

     


      ;
      ;
      ;
      ;

      return std::__merge(__first1, __last1,
         __first2, __last2, __result,
         __gnu_cxx::__ops::__iter_less_iter());
    }
# 4947 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    inline _OutputIterator
    merge(_InputIterator1 __first1, _InputIterator1 __last1,
   _InputIterator2 __first2, _InputIterator2 __last2,
   _OutputIterator __result, _Compare __comp)
    {

     
     
     

     

     


      ;
      ;
      ;
      ;

      return std::__merge(__first1, __last1,
    __first2, __last2, __result,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
    _Compare __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
 _DistanceType;

      typedef _Temporary_buffer<_RandomAccessIterator, _ValueType> _TmpBuf;
      _TmpBuf __buf(__first, std::distance(__first, __last));

      if (__buf.begin() == 0)
 std::__inplace_stable_sort(__first, __last, __comp);
      else
 std::__stable_sort_adaptive(__first, __last, __buf.begin(),
        _DistanceType(__buf.size()), __comp);
    }
# 5011 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator>
    inline void
    stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {

     

     

      ;
      ;

      std::__stable_sort(__first, __last,
        __gnu_cxx::__ops::__iter_less_iter());
    }
# 5045 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last,
  _Compare __comp)
    {

     

     


      ;
      ;

      std::__stable_sort(__first, __last,
        __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator,
    typename _Compare>
    _OutputIterator
    __set_union(_InputIterator1 __first1, _InputIterator1 __last1,
  _InputIterator2 __first2, _InputIterator2 __last2,
  _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 {
   if (__comp(__first1, __first2))
     {
       *__result = *__first1;
       ++__first1;
     }
   else if (__comp(__first2, __first1))
     {
       *__result = *__first2;
       ++__first2;
     }
   else
     {
       *__result = *__first1;
       ++__first1;
       ++__first2;
     }
   ++__result;
 }
      return std::copy(__first2, __last2,
         std::copy(__first1, __last1, __result));
    }
# 5114 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator>
    inline _OutputIterator
    set_union(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _InputIterator2 __last2,
       _OutputIterator __result)
    {

     
     
     

     

     


     


      ;
      ;
      ;
      ;

      return std::__set_union(__first1, __last1,
    __first2, __last2, __result,
    __gnu_cxx::__ops::__iter_less_iter());
    }
# 5164 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    inline _OutputIterator
    set_union(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _InputIterator2 __last2,
       _OutputIterator __result, _Compare __comp)
    {

     
     
     

     

     


     


      ;
      ;
      ;
      ;

      return std::__set_union(__first1, __last1,
    __first2, __last2, __result,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator,
    typename _Compare>
    _OutputIterator
    __set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
         _InputIterator2 __first2, _InputIterator2 __last2,
         _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 if (__comp(__first1, __first2))
   ++__first1;
 else if (__comp(__first2, __first1))
   ++__first2;
 else
   {
     *__result = *__first1;
     ++__first1;
     ++__first2;
     ++__result;
   }
      return __result;
    }
# 5235 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator>
    inline _OutputIterator
    set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _InputIterator2 __last2,
       _OutputIterator __result)
    {

     
     
     

     


     


      ;
      ;
      ;
      ;

      return std::__set_intersection(__first1, __last1,
         __first2, __last2, __result,
         __gnu_cxx::__ops::__iter_less_iter());
    }
# 5284 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    inline _OutputIterator
    set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _InputIterator2 __last2,
       _OutputIterator __result, _Compare __comp)
    {

     
     
     

     


     


      ;
      ;
      ;
      ;

      return std::__set_intersection(__first1, __last1,
    __first2, __last2, __result,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator,
    typename _Compare>
    _OutputIterator
    __set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
       _InputIterator2 __first2, _InputIterator2 __last2,
       _OutputIterator __result, _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 if (__comp(__first1, __first2))
   {
     *__result = *__first1;
     ++__first1;
     ++__result;
   }
 else if (__comp(__first2, __first1))
   ++__first2;
 else
   {
     ++__first1;
     ++__first2;
   }
      return std::copy(__first1, __last1, __result);
    }
# 5357 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator>
    inline _OutputIterator
    set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
     _InputIterator2 __first2, _InputIterator2 __last2,
     _OutputIterator __result)
    {

     
     
     

     


     


      ;
      ;
      ;
      ;

      return std::__set_difference(__first1, __last1,
       __first2, __last2, __result,
       __gnu_cxx::__ops::__iter_less_iter());
    }
# 5408 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    inline _OutputIterator
    set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
     _InputIterator2 __first2, _InputIterator2 __last2,
     _OutputIterator __result, _Compare __comp)
    {

     
     
     

     


     


      ;
      ;
      ;
      ;

      return std::__set_difference(__first1, __last1,
       __first2, __last2, __result,
       __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator,
    typename _Compare>
    _OutputIterator
    __set_symmetric_difference(_InputIterator1 __first1,
          _InputIterator1 __last1,
          _InputIterator2 __first2,
          _InputIterator2 __last2,
          _OutputIterator __result,
          _Compare __comp)
    {
      while (__first1 != __last1 && __first2 != __last2)
 if (__comp(__first1, __first2))
   {
     *__result = *__first1;
     ++__first1;
     ++__result;
   }
 else if (__comp(__first2, __first1))
   {
     *__result = *__first2;
     ++__first2;
     ++__result;
   }
 else
   {
     ++__first1;
     ++__first2;
   }
      return std::copy(__first2, __last2,
         std::copy(__first1, __last1, __result));
    }
# 5487 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator>
    inline _OutputIterator
    set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _OutputIterator __result)
    {

     
     
     

     

     


     


      ;
      ;
      ;
      ;

      return std::__set_symmetric_difference(__first1, __last1,
     __first2, __last2, __result,
     __gnu_cxx::__ops::__iter_less_iter());
    }
# 5538 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _OutputIterator, typename _Compare>
    inline _OutputIterator
    set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _OutputIterator __result,
        _Compare __comp)
    {

     
     
     

     

     


     


      ;
      ;
      ;
      ;

      return std::__set_symmetric_difference(__first1, __last1,
    __first2, __last2, __result,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _ForwardIterator, typename _Compare>
    constexpr
    _ForwardIterator
    __min_element(_ForwardIterator __first, _ForwardIterator __last,
    _Compare __comp)
    {
      if (__first == __last)
 return __first;
      _ForwardIterator __result = __first;
      while (++__first != __last)
 if (__comp(__first, __result))
   __result = __first;
      return __result;
    }
# 5591 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    constexpr
    _ForwardIterator
    inline min_element(_ForwardIterator __first, _ForwardIterator __last)
    {

     
     

      ;
      ;

      return std::__min_element(__first, __last,
    __gnu_cxx::__ops::__iter_less_iter());
    }
# 5616 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Compare>
    constexpr
    inline _ForwardIterator
    min_element(_ForwardIterator __first, _ForwardIterator __last,
  _Compare __comp)
    {

     
     


      ;
      ;

      return std::__min_element(__first, __last,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

  template<typename _ForwardIterator, typename _Compare>
    constexpr
    _ForwardIterator
    __max_element(_ForwardIterator __first, _ForwardIterator __last,
    _Compare __comp)
    {
      if (__first == __last) return __first;
      _ForwardIterator __result = __first;
      while (++__first != __last)
 if (__comp(__result, __first))
   __result = __first;
      return __result;
    }
# 5655 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator>
    constexpr
    inline _ForwardIterator
    max_element(_ForwardIterator __first, _ForwardIterator __last)
    {

     
     

      ;
      ;

      return std::__max_element(__first, __last,
    __gnu_cxx::__ops::__iter_less_iter());
    }
# 5680 "/opt/sutton/include/c++/9.0.0/bits/stl_algo.h" 3
  template<typename _ForwardIterator, typename _Compare>
    constexpr
    inline _ForwardIterator
    max_element(_ForwardIterator __first, _ForwardIterator __last,
  _Compare __comp)
    {

     
     


      ;
      ;

      return std::__max_element(__first, __last,
    __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }



  template<typename _InputIterator, typename _RandomAccessIterator,
           typename _Size, typename _UniformRandomBitGenerator>
    _RandomAccessIterator
    __sample(_InputIterator __first, _InputIterator __last, input_iterator_tag,
      _RandomAccessIterator __out, random_access_iterator_tag,
      _Size __n, _UniformRandomBitGenerator&& __g)
    {
      using __distrib_type = uniform_int_distribution<_Size>;
      using __param_type = typename __distrib_type::param_type;
      __distrib_type __d{};
      _Size __sample_sz = 0;
      while (__first != __last && __sample_sz != __n)
 {
   __out[__sample_sz++] = *__first;
   ++__first;
 }
      for (auto __pop_sz = __sample_sz; __first != __last;
   ++__first, (void) ++__pop_sz)
 {
   const auto __k = __d(__g, __param_type{0, __pop_sz});
   if (__k < __n)
     __out[__k] = *__first;
 }
      return __out + __sample_sz;
    }


  template<typename _ForwardIterator, typename _OutputIterator, typename _Cat,
           typename _Size, typename _UniformRandomBitGenerator>
    _OutputIterator
    __sample(_ForwardIterator __first, _ForwardIterator __last,
      forward_iterator_tag,
      _OutputIterator __out, _Cat,
      _Size __n, _UniformRandomBitGenerator&& __g)
    {
      using __distrib_type = uniform_int_distribution<_Size>;
      using __param_type = typename __distrib_type::param_type;
      using _USize = make_unsigned_t<_Size>;
      using _Gen = remove_reference_t<_UniformRandomBitGenerator>;
      using __uc_type = common_type_t<typename _Gen::result_type, _USize>;

      __distrib_type __d{};
      _Size __unsampled_sz = std::distance(__first, __last);
      __n = std::min(__n, __unsampled_sz);




      const __uc_type __urngrange = __g.max() - __g.min();
      if (__urngrange / __uc_type(__unsampled_sz) >= __uc_type(__unsampled_sz))


        {
   while (__n != 0 && __unsampled_sz >= 2)
     {
       const pair<_Size, _Size> __p =
  __gen_two_uniform_ints(__unsampled_sz, __unsampled_sz - 1, __g);

       --__unsampled_sz;
       if (__p.first < __n)
  {
    *__out++ = *__first;
    --__n;
  }

       ++__first;

       if (__n == 0) break;

       --__unsampled_sz;
       if (__p.second < __n)
  {
    *__out++ = *__first;
    --__n;
  }

       ++__first;
     }
        }



      for (; __n != 0; ++__first)
 if (__d(__g, __param_type{0, --__unsampled_sz}) < __n)
   {
     *__out++ = *__first;
     --__n;
   }
      return __out;
    }




  template<typename _PopulationIterator, typename _SampleIterator,
           typename _Distance, typename _UniformRandomBitGenerator>
    _SampleIterator
    sample(_PopulationIterator __first, _PopulationIterator __last,
    _SampleIterator __out, _Distance __n,
    _UniformRandomBitGenerator&& __g)
    {
      using __pop_cat = typename
 std::iterator_traits<_PopulationIterator>::iterator_category;
      using __samp_cat = typename
 std::iterator_traits<_SampleIterator>::iterator_category;

      static_assert(
   __or_<is_convertible<__pop_cat, forward_iterator_tag>,
  is_convertible<__samp_cat, random_access_iterator_tag>>::value,
   "output range must use a RandomAccessIterator when input range"
   " does not meet the ForwardIterator requirements");

      static_assert(is_integral<_Distance>::value,
      "sample size must be an integer type");

      typename iterator_traits<_PopulationIterator>::difference_type __d = __n;
      return std::
 __sample(__first, __last, __pop_cat{}, __out, __samp_cat{}, __d,
   std::forward<_UniformRandomBitGenerator>(__g));
    }





}
# 53 "/opt/sutton/include/c++/9.0.0/string" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/range_access.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/range_access.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/range_access.h" 3



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







  template<typename _Container>
    inline constexpr auto
    begin(_Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline constexpr auto
    begin(const _Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline constexpr auto
    end(_Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }






  template<typename _Container>
    inline constexpr auto
    end(const _Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }





  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    begin(_Tp (&__arr)[_Nm])
    { return __arr; }






  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    end(_Tp (&__arr)[_Nm])
    { return __arr + _Nm; }



  template<typename _Tp> class valarray;

  template<typename _Tp> _Tp* begin(valarray<_Tp>&);
  template<typename _Tp> const _Tp* begin(const valarray<_Tp>&);
  template<typename _Tp> _Tp* end(valarray<_Tp>&);
  template<typename _Tp> const _Tp* end(const valarray<_Tp>&);






  template<typename _Container>
    inline constexpr auto
    cbegin(const _Container& __cont) noexcept(noexcept(std::begin(__cont)))
      -> decltype(std::begin(__cont))
    { return std::begin(__cont); }






  template<typename _Container>
    inline constexpr auto
    cend(const _Container& __cont) noexcept(noexcept(std::end(__cont)))
      -> decltype(std::end(__cont))
    { return std::end(__cont); }






  template<typename _Container>
    inline constexpr auto
    rbegin(_Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline constexpr auto
    rbegin(const _Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline constexpr auto
    rend(_Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Container>
    inline constexpr auto
    rend(const _Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Tp, size_t _Nm>
    inline constexpr reverse_iterator<_Tp*>
    rbegin(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr + _Nm); }






  template<typename _Tp, size_t _Nm>
    inline constexpr reverse_iterator<_Tp*>
    rend(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr); }






  template<typename _Tp>
    inline constexpr reverse_iterator<const _Tp*>
    rbegin(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.end()); }






  template<typename _Tp>
    inline constexpr reverse_iterator<const _Tp*>
    rend(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.begin()); }






  template<typename _Container>
    inline constexpr auto
    crbegin(const _Container& __cont) -> decltype(std::rbegin(__cont))
    { return std::rbegin(__cont); }






  template<typename _Container>
    inline constexpr auto
    crend(const _Container& __cont) -> decltype(std::rend(__cont))
    { return std::rend(__cont); }
# 240 "/opt/sutton/include/c++/9.0.0/bits/range_access.h" 3
  template <typename _Container>
    constexpr auto
    size(const _Container& __cont) noexcept(noexcept(__cont.size()))
    -> decltype(__cont.size())
    { return __cont.size(); }





  template <typename _Tp, size_t _Nm>
    constexpr size_t
    size(const _Tp (& )[_Nm]) noexcept
    { return _Nm; }





  template <typename _Container>
    [[nodiscard]] constexpr auto
    empty(const _Container& __cont) noexcept(noexcept(__cont.empty()))
    -> decltype(__cont.empty())
    { return __cont.empty(); }





  template <typename _Tp, size_t _Nm>
    [[nodiscard]] constexpr bool
    empty(const _Tp (& )[_Nm]) noexcept
    { return false; }





  template <typename _Tp>
    [[nodiscard]] constexpr bool
    empty(initializer_list<_Tp> __il) noexcept
    { return __il.size() == 0;}





  template <typename _Container>
    constexpr auto
    data(_Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Container>
    constexpr auto
    data(const _Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Tp, size_t _Nm>
    constexpr _Tp*
    data(_Tp (&__array)[_Nm]) noexcept
    { return __array; }





  template <typename _Tp>
    constexpr const _Tp*
    data(initializer_list<_Tp> __il) noexcept
    { return __il.begin(); }




}
# 55 "/opt/sutton/include/c++/9.0.0/string" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 3


# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr.h" 1 3
# 30 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr.h" 3
#pragma GCC visibility push(default)
# 148 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 1 3
# 35 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
# 1 "/usr/include/pthread.h" 1 3 4
# 23 "/usr/include/pthread.h" 3 4
# 1 "/usr/include/sched.h" 1 3 4
# 29 "/usr/include/sched.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 30 "/usr/include/sched.h" 2 3 4
# 43 "/usr/include/sched.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/sched.h" 1 3 4
# 75 "/usr/include/x86_64-linux-gnu/bits/sched.h" 3 4
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 ();


extern int setns (int __fd, int __nstype) throw ();


}
# 44 "/usr/include/sched.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 1 3 4
# 32 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
typedef unsigned long int __cpu_mask;






typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;
# 115 "/usr/include/x86_64-linux-gnu/bits/cpu-set.h" 3 4
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 ();

}
# 45 "/usr/include/sched.h" 2 3 4






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 ();
# 121 "/usr/include/sched.h" 3 4
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 ();


}
# 24 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/time.h" 1 3 4
# 29 "/usr/include/time.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 30 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/time.h" 1 3 4
# 73 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timex.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/timex.h" 3 4
struct timex
{
  unsigned int modes;
  __syscall_slong_t offset;
  __syscall_slong_t freq;
  __syscall_slong_t maxerror;
  __syscall_slong_t esterror;
  int status;
  __syscall_slong_t constant;
  __syscall_slong_t precision;
  __syscall_slong_t tolerance;
  struct timeval time;
  __syscall_slong_t tick;
  __syscall_slong_t ppsfreq;
  __syscall_slong_t jitter;
  int shift;
  __syscall_slong_t stabil;
  __syscall_slong_t jitcnt;
  __syscall_slong_t calcnt;
  __syscall_slong_t errcnt;
  __syscall_slong_t stbcnt;

  int tai;


  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32;
};
# 74 "/usr/include/x86_64-linux-gnu/bits/time.h" 2 3 4

extern "C" {


extern int clock_adjtime (__clockid_t __clock_id, struct timex *__utx) throw ();

}
# 34 "/usr/include/time.h" 2 3 4





# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_tm.h" 1 3 4






struct tm
{
  int tm_sec;
  int tm_min;
  int tm_hour;
  int tm_mday;
  int tm_mon;
  int tm_year;
  int tm_wday;
  int tm_yday;
  int tm_isdst;


  long int tm_gmtoff;
  const char *tm_zone;




};
# 40 "/usr/include/time.h" 2 3 4
# 48 "/usr/include/time.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_itimerspec.h" 1 3 4







struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
# 49 "/usr/include/time.h" 2 3 4
struct sigevent;
# 68 "/usr/include/time.h" 3 4
extern "C" {



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 ();
# 196 "/usr/include/time.h" 3 4
extern time_t timegm (struct tm *__tp) throw ();


extern time_t timelocal (struct tm *__tp) throw ();


extern int dysize (int __year) throw () __attribute__ ((__const__));
# 211 "/usr/include/time.h" 3 4
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 timespec_get (struct timespec *__ts, int __base)
     throw () __attribute__ ((__nonnull__ (1)));
# 280 "/usr/include/time.h" 3 4
extern int getdate_err;
# 289 "/usr/include/time.h" 3 4
extern struct tm *getdate (const char *__string);
# 303 "/usr/include/time.h" 3 4
extern int getdate_r (const char *__restrict __string,
        struct tm *__restrict __resbufp);


}
# 25 "/usr/include/pthread.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/setjmp.h" 2 3 4




typedef long int __jmp_buf[8];
# 28 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 29 "/usr/include/pthread.h" 2 3 4




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
};
# 115 "/usr/include/pthread.h" 3 4
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
};
# 156 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_INHERIT_SCHED,

  PTHREAD_EXPLICIT_SCHED

};



enum
{
  PTHREAD_SCOPE_SYSTEM,

  PTHREAD_SCOPE_PROCESS

};



enum
{
  PTHREAD_PROCESS_PRIVATE,

  PTHREAD_PROCESS_SHARED

};
# 191 "/usr/include/pthread.h" 3 4
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

};
# 229 "/usr/include/pthread.h" 3 4
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 () __attribute__ ((__const__));







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_default_np (pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));



extern int pthread_setattr_default_np (const pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));




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)));
# 495 "/usr/include/pthread.h" 3 4
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
# 507 "/usr/include/pthread.h" 3 4
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__));
# 541 "/usr/include/pthread.h" 3 4
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); }
};
# 743 "/usr/include/pthread.h" 3 4
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)));
# 807 "/usr/include/pthread.h" 3 4
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)));
# 889 "/usr/include/pthread.h" 3 4
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)));
# 1001 "/usr/include/pthread.h" 3 4
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)));
# 1045 "/usr/include/pthread.h" 3 4
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)));
# 1112 "/usr/include/pthread.h" 3 4
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)));
# 1146 "/usr/include/pthread.h" 3 4
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) throw ();
# 1160 "/usr/include/pthread.h" 3 4
}
# 36 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 2 3
# 47 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
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;
# 101 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
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")));
# 236 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
static __typeof(pthread_key_create) __gthrw___pthread_key_create __attribute__ ((__weakref__("__pthread_key_create")));
# 246 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
static inline int
__gthread_active_p (void)
{
  static void *const __gthread_active_ptr
    = __extension__ (void *) &__gthrw___pthread_key_create;
  return __gthread_active_ptr != 0;
}
# 658 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
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 void
__gthread_mutex_init_function (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    __gthrw_pthread_mutex_init (__mutex, __null);
}

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;
}
# 807 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
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_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_destroy (__mutex);
}
# 849 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr-default.h" 3
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_destroy (__gthread_cond_t* __cond)
{
  return __gthrw_pthread_cond_destroy (__cond);
}
# 149 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/gthr.h" 2 3


#pragma GCC visibility pop
# 36 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/atomic_word.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/atomic_word.h" 3
typedef int _Atomic_word;
# 37 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 2 3

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); }
# 64 "/opt/sutton/include/c++/9.0.0/ext/atomicity.h" 3
  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);



  }


}
# 40 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 2 3
# 48 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/string_view" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/string_view" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/string_view" 3






# 1 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 3



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

# 49 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 3
  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type [[__deprecated__]];
      typedef _Arg argument_type [[__deprecated__]];
    };


  template<typename _Tp>
    struct hash;

  template<typename _Tp, typename = void>
    struct __poison_hash
    {
      static constexpr bool __enable_hash_call = false;
    private:

      __poison_hash(__poison_hash&&);
      ~__poison_hash();
    };

  template<typename _Tp>
    struct __poison_hash<_Tp, __void_t<decltype(hash<_Tp>()(declval<_Tp>()))>>
    {
      static constexpr bool __enable_hash_call = true;
    };


  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __hash_enum
    {
    private:

      __hash_enum(__hash_enum&&);
      ~__hash_enum();
    };


  template<typename _Tp>
    struct __hash_enum<_Tp, true> : public __hash_base<size_t, _Tp>
    {
      size_t
      operator()(_Tp __val) const noexcept
      {
       using __type = typename underlying_type<_Tp>::type;
       return hash<__type>{}(static_cast<__type>(__val));
      }
    };



  template<typename _Tp>
    struct hash : __hash_enum<_Tp>
    { };


  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); }
    };
# 124 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 3
  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); } };
# 187 "/opt/sutton/include/c++/9.0.0/bits/functional_hash.h" 3
  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;
    };







  template<typename _Hash>
    struct __is_fast_hash : public std::true_type
    { };

  template<>
    struct __is_fast_hash<hash<long double>> : public std::false_type
    { };


}
# 44 "/opt/sutton/include/c++/9.0.0/string_view" 2 3


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

# 70 "/opt/sutton/include/c++/9.0.0/string_view" 3
  template<typename _CharT, typename _Traits = std::char_traits<_CharT>>
    class basic_string_view
    {
    public:


      using traits_type = _Traits;
      using value_type = _CharT;
      using pointer = const _CharT*;
      using const_pointer = const _CharT*;
      using reference = const _CharT&;
      using const_reference = const _CharT&;
      using const_iterator = const _CharT*;
      using iterator = const_iterator;
      using const_reverse_iterator = std::reverse_iterator<const_iterator>;
      using reverse_iterator = const_reverse_iterator;
      using size_type = size_t;
      using difference_type = ptrdiff_t;
      static constexpr size_type npos = size_type(-1);



      constexpr
      basic_string_view() noexcept
      : _M_len{0}, _M_str{nullptr}
      { }

      constexpr basic_string_view(const basic_string_view&) noexcept = default;

      __attribute__((__nonnull__)) constexpr
      basic_string_view(const _CharT* __str) noexcept
      : _M_len{traits_type::length(__str)},
 _M_str{__str}
      { }

      constexpr
      basic_string_view(const _CharT* __str, size_type __len) noexcept
      : _M_len{__len}, _M_str{__str}
      { }

      constexpr basic_string_view&
      operator=(const basic_string_view&) noexcept = default;



      constexpr const_iterator
      begin() const noexcept
      { return this->_M_str; }

      constexpr const_iterator
      end() const noexcept
      { return this->_M_str + this->_M_len; }

      constexpr const_iterator
      cbegin() const noexcept
      { return this->_M_str; }

      constexpr const_iterator
      cend() const noexcept
      { return this->_M_str + this->_M_len; }

      constexpr const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }

      constexpr const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }

      constexpr const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }

      constexpr const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }



      constexpr size_type
      size() const noexcept
      { return this->_M_len; }

      constexpr size_type
      length() const noexcept
      { return _M_len; }

      constexpr size_type
      max_size() const noexcept
      {
 return (npos - sizeof(size_type) - sizeof(void*))
  / sizeof(value_type) / 4;
      }

      [[nodiscard]] constexpr bool
      empty() const noexcept
      { return this->_M_len == 0; }



      constexpr const _CharT&
      operator[](size_type __pos) const noexcept
      {


 return *(this->_M_str + __pos);
      }

      constexpr const _CharT&
      at(size_type __pos) const
      {
 if (__pos >= _M_len)
   __throw_out_of_range_fmt(("basic_string_view::at: __pos " "(which is %zu) >= this->size() " "(which is %zu)")

                            , __pos, this->size());
 return *(this->_M_str + __pos);
      }

      constexpr const _CharT&
      front() const noexcept
      {


 return *this->_M_str;
      }

      constexpr const _CharT&
      back() const noexcept
      {


 return *(this->_M_str + this->_M_len - 1);
      }

      constexpr const _CharT*
      data() const noexcept
      { return this->_M_str; }



      constexpr void
      remove_prefix(size_type __n) noexcept
      {
 ;
 this->_M_str += __n;
 this->_M_len -= __n;
      }

      constexpr void
      remove_suffix(size_type __n) noexcept
      { this->_M_len -= __n; }

      constexpr void
      swap(basic_string_view& __sv) noexcept
      {
 auto __tmp = *this;
 *this = __sv;
 __sv = __tmp;
      }



      size_type
      copy(_CharT* __str, size_type __n, size_type __pos = 0) const
      {
 ;
 __pos = _M_check(__pos, "basic_string_view::copy");
 const size_type __rlen = std::min(__n, _M_len - __pos);


 traits_type::copy(__str, data() + __pos, __rlen);
 return __rlen;
      }

      constexpr basic_string_view
      substr(size_type __pos = 0, size_type __n = npos) const noexcept(false)
      {
 __pos = _M_check(__pos, "basic_string_view::substr");
 const size_type __rlen = std::min(__n, _M_len - __pos);
 return basic_string_view{_M_str + __pos, __rlen};
      }

      constexpr int
      compare(basic_string_view __str) const noexcept
      {
 const size_type __rlen = std::min(this->_M_len, __str._M_len);
 int __ret = traits_type::compare(this->_M_str, __str._M_str, __rlen);
 if (__ret == 0)
   __ret = _S_compare(this->_M_len, __str._M_len);
 return __ret;
      }

      constexpr int
      compare(size_type __pos1, size_type __n1, basic_string_view __str) const
      { return this->substr(__pos1, __n1).compare(__str); }

      constexpr int
      compare(size_type __pos1, size_type __n1,
       basic_string_view __str, size_type __pos2, size_type __n2) const
      {
 return this->substr(__pos1, __n1).compare(__str.substr(__pos2, __n2));
      }

      __attribute__((__nonnull__)) constexpr int
      compare(const _CharT* __str) const noexcept
      { return this->compare(basic_string_view{__str}); }

      __attribute__((__nonnull__)) constexpr int
      compare(size_type __pos1, size_type __n1, const _CharT* __str) const
      { return this->substr(__pos1, __n1).compare(basic_string_view{__str}); }

      constexpr int
      compare(size_type __pos1, size_type __n1,
       const _CharT* __str, size_type __n2) const noexcept(false)
      {
 return this->substr(__pos1, __n1)
     .compare(basic_string_view(__str, __n2));
      }

      constexpr size_type
      find(basic_string_view __str, size_type __pos = 0) const noexcept
      { return this->find(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;

      constexpr size_type
      find(const _CharT* __str, size_type __pos, size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      find(const _CharT* __str, size_type __pos = 0) const noexcept
      { return this->find(__str, __pos, traits_type::length(__str)); }

      constexpr size_type
      rfind(basic_string_view __str, size_type __pos = npos) const noexcept
      { return this->rfind(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;

      constexpr size_type
      rfind(const _CharT* __str, size_type __pos, size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      rfind(const _CharT* __str, size_type __pos = npos) const noexcept
      { return this->rfind(__str, __pos, traits_type::length(__str)); }

      constexpr size_type
      find_first_of(basic_string_view __str, size_type __pos = 0) const noexcept
      { return this->find_first_of(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }

      constexpr size_type
      find_first_of(const _CharT* __str, size_type __pos,
      size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      find_first_of(const _CharT* __str, size_type __pos = 0) const noexcept
      { return this->find_first_of(__str, __pos, traits_type::length(__str)); }

      constexpr size_type
      find_last_of(basic_string_view __str,
     size_type __pos = npos) const noexcept
      { return this->find_last_of(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      find_last_of(_CharT __c, size_type __pos=npos) const noexcept
      { return this->rfind(__c, __pos); }

      constexpr size_type
      find_last_of(const _CharT* __str, size_type __pos,
     size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      find_last_of(const _CharT* __str, size_type __pos = npos) const noexcept
      { return this->find_last_of(__str, __pos, traits_type::length(__str)); }

      constexpr size_type
      find_first_not_of(basic_string_view __str,
   size_type __pos = 0) const noexcept
      { return this->find_first_not_of(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const noexcept;

      constexpr size_type
      find_first_not_of(const _CharT* __str,
   size_type __pos, size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      find_first_not_of(const _CharT* __str, size_type __pos = 0) const noexcept
      {
 return this->find_first_not_of(__str, __pos,
           traits_type::length(__str));
      }

      constexpr size_type
      find_last_not_of(basic_string_view __str,
         size_type __pos = npos) const noexcept
      { return this->find_last_not_of(__str._M_str, __pos, __str._M_len); }

      constexpr size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const noexcept;

      constexpr size_type
      find_last_not_of(const _CharT* __str,
         size_type __pos, size_type __n) const noexcept;

      __attribute__((__nonnull__)) constexpr size_type
      find_last_not_of(const _CharT* __str,
         size_type __pos = npos) const noexcept
      {
 return this->find_last_not_of(__str, __pos,
          traits_type::length(__str));
      }


      constexpr bool
      starts_with(basic_string_view __x) const noexcept
      {
 return this->size() >= __x.size()
     && this->compare(0, __x.size(), __x) == 0;
      }

      constexpr bool
      starts_with(_CharT __x) const noexcept
      { return this->starts_with(basic_string_view(&__x, 1)); }

      constexpr bool
      starts_with(const _CharT* __x) const noexcept
      { return this->starts_with(basic_string_view(__x)); }

      constexpr bool
      ends_with(basic_string_view __x) const noexcept
      {
 return this->size() >= __x.size()
     && this->compare(this->size() - __x.size(), npos, __x) == 0;
      }

      constexpr bool
      ends_with(_CharT __x) const noexcept
      { return this->ends_with(basic_string_view(&__x, 1)); }

      constexpr bool
      ends_with(const _CharT* __x) const noexcept
      { return this->ends_with(basic_string_view(__x)); }


      constexpr size_type
      _M_check(size_type __pos, const char* __s) const noexcept(false)
      {
 if (__pos > this->size())
   __throw_out_of_range_fmt(("%s: __pos (which is %zu) > " "this->size() (which is %zu)")
                                         ,
       __s, __pos, this->size());
 return __pos;
      }


      constexpr size_type
      _M_limit(size_type __pos, size_type __off) const noexcept
      {
 const bool __testoff = __off < this->size() - __pos;
 return __testoff ? __off : this->size() - __pos;
      }

    private:

      static constexpr int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 const difference_type __diff = __n1 - __n2;
 if (__diff > std::numeric_limits<int>::max())
   return std::numeric_limits<int>::max();
 if (__diff < std::numeric_limits<int>::min())
   return std::numeric_limits<int>::min();
 return static_cast<int>(__diff);
      }

      size_t _M_len;
      const _CharT* _M_str;
    };



  namespace __detail
  {



    template<typename _Tp>
      using __idt = common_type_t<_Tp>;
  }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator==(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator==(basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator==(__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator!=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator!=(basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator!=(__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator< (basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator< (basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator< (__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator> (basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator> (basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator> (__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator<=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator<=(basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator<=(__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator>=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) >= 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator>=(basic_string_view<_CharT, _Traits> __x,
               __detail::__idt<basic_string_view<_CharT, _Traits>> __y) noexcept
    { return __x.compare(__y) >= 0; }

  template<typename _CharT, typename _Traits>
    constexpr bool
    operator>=(__detail::__idt<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) >= 0; }


  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os,
        basic_string_view<_CharT,_Traits> __str)
    { return __ostream_insert(__os, __str.data(), __str.size()); }




  using string_view = basic_string_view<char>;

  using wstring_view = basic_string_view<wchar_t>;


  using u16string_view = basic_string_view<char16_t>;
  using u32string_view = basic_string_view<char32_t>;



  template<typename _Tp>
    struct hash;

  template<>
    struct hash<string_view>
    : public __hash_base<size_t, string_view>
    {
      size_t
      operator()(const string_view& __str) const noexcept
      { return std::_Hash_impl::hash(__str.data(), __str.length()); }
    };

  template<>
    struct __is_fast_hash<hash<string_view>> : std::false_type
    { };


  template<>
    struct hash<wstring_view>
    : public __hash_base<size_t, wstring>
    {
      size_t
      operator()(const wstring_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(wchar_t)); }
    };

  template<>
    struct __is_fast_hash<hash<wstring_view>> : std::false_type
    { };


  template<>
    struct hash<u16string_view>
    : public __hash_base<size_t, u16string_view>
    {
      size_t
      operator()(const u16string_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char16_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u16string_view>> : std::false_type
    { };

  template<>
    struct hash<u32string_view>
    : public __hash_base<size_t, u32string_view>
    {
      size_t
      operator()(const u32string_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char32_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u32string_view>> : std::false_type
    { };

  inline namespace literals
  {
  inline namespace string_view_literals
  {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wliteral-suffix"
    inline constexpr basic_string_view<char>
    operator""sv(const char* __str, size_t __len) noexcept
    { return basic_string_view<char>{__str, __len}; }


    inline constexpr basic_string_view<wchar_t>
    operator""sv(const wchar_t* __str, size_t __len) noexcept
    { return basic_string_view<wchar_t>{__str, __len}; }


    inline constexpr basic_string_view<char16_t>
    operator""sv(const char16_t* __str, size_t __len) noexcept
    { return basic_string_view<char16_t>{__str, __len}; }

    inline constexpr basic_string_view<char32_t>
    operator""sv(const char32_t* __str, size_t __len) noexcept
    { return basic_string_view<char32_t>{__str, __len}; }

#pragma GCC diagnostic pop
  }
  }


}

# 1 "/opt/sutton/include/c++/9.0.0/bits/string_view.tcc" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/string_view.tcc" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/string_view.tcc" 3



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


  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find(const _CharT* __str, size_type __pos, size_type __n) const noexcept
    {
      ;

      if (__n == 0)
 return __pos <= this->_M_len ? __pos : npos;

      if (__n <= this->_M_len)
 {
   for (; __pos <= this->_M_len - __n; ++__pos)
     if (traits_type::eq(this->_M_str[__pos], __str[0])
  && traits_type::compare(this->_M_str + __pos + 1,
     __str + 1, __n - 1) == 0)
       return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find(_CharT __c, size_type __pos) const noexcept
    {
      size_type __ret = npos;
      if (__pos < this->_M_len)
 {
   const size_type __n = this->_M_len - __pos;
   const _CharT* __p = traits_type::find(this->_M_str + __pos, __n, __c);
   if (__p)
     __ret = __p - this->_M_str;
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    rfind(const _CharT* __str, size_type __pos, size_type __n) const noexcept
    {
      ;

      if (__n <= this->_M_len)
 {
   __pos = std::min(size_type(this->_M_len - __n), __pos);
   do
     {
       if (traits_type::compare(this->_M_str + __pos, __str, __n) == 0)
  return __pos;
     }
   while (__pos-- > 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    rfind(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->_M_len;
      if (__size > 0)
 {
   if (--__size > __pos)
     __size = __pos;
   for (++__size; __size-- > 0; )
     if (traits_type::eq(this->_M_str[__size], __c))
       return __size;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_of(const _CharT* __str, size_type __pos,
    size_type __n) const noexcept
    {
      ;
      for (; __n && __pos < this->_M_len; ++__pos)
 {
   const _CharT* __p = traits_type::find(__str, __n,
      this->_M_str[__pos]);
   if (__p)
     return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_of(const _CharT* __str, size_type __pos,
   size_type __n) const noexcept
    {
      ;
      size_type __size = this->size();
      if (__size && __n)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (traits_type::find(__str, __n, this->_M_str[__size]))
  return __size;
     }
   while (__size-- != 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_not_of(const _CharT* __str, size_type __pos,
        size_type __n) const noexcept
    {
      ;
      for (; __pos < this->_M_len; ++__pos)
 if (!traits_type::find(__str, __n, this->_M_str[__pos]))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_not_of(_CharT __c, size_type __pos) const noexcept
    {
      for (; __pos < this->_M_len; ++__pos)
 if (!traits_type::eq(this->_M_str[__pos], __c))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_not_of(const _CharT* __str, size_type __pos,
       size_type __n) const noexcept
    {
      ;
      size_type __size = this->_M_len;
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::find(__str, __n, this->_M_str[__size]))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_not_of(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->_M_len;
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::eq(this->_M_str[__size], __c))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }


}
# 687 "/opt/sutton/include/c++/9.0.0/string_view" 2 3
# 49 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 2 3



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



namespace __cxx11 {
# 76 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    class basic_string
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_CharT>::other _Char_alloc_type;
      typedef __gnu_cxx::__alloc_traits<_Char_alloc_type> _Alloc_traits;


    public:
      typedef _Traits traits_type;
      typedef typename _Traits::char_type value_type;
      typedef _Char_alloc_type allocator_type;
      typedef typename _Alloc_traits::size_type size_type;
      typedef typename _Alloc_traits::difference_type difference_type;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;
      typedef typename _Alloc_traits::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef __gnu_cxx::__normal_iterator<pointer, basic_string> iterator;
      typedef __gnu_cxx::__normal_iterator<const_pointer, basic_string>
       const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;


      static const size_type npos = static_cast<size_type>(-1);

    protected:




      typedef const_iterator __const_iterator;


    private:


      typedef basic_string_view<_CharT, _Traits> __sv_type;

      template<typename _Tp, typename _Res>
 using _If_sv = enable_if_t<
   __and_<is_convertible<const _Tp&, __sv_type>,
   __not_<is_convertible<const _Tp*, const basic_string*>>,
   __not_<is_convertible<const _Tp&, const _CharT*>>>::value,
   _Res>;


      static __sv_type
      _S_to_string_view(__sv_type __svt) noexcept
      { return __svt; }





      struct __sv_wrapper
      {
 explicit __sv_wrapper(__sv_type __sv) noexcept : _M_sv(__sv) { }
 __sv_type _M_sv;
      };



      struct _Alloc_hider : allocator_type
      {




 _Alloc_hider(pointer __dat, const _Alloc& __a)
 : allocator_type(__a), _M_p(__dat) { }

 _Alloc_hider(pointer __dat, _Alloc&& __a = _Alloc())
 : allocator_type(std::move(__a)), _M_p(__dat) { }


 pointer _M_p;
      };

      _Alloc_hider _M_dataplus;
      size_type _M_string_length;

      enum { _S_local_capacity = 15 / sizeof(_CharT) };

      union
      {
 _CharT _M_local_buf[_S_local_capacity + 1];
 size_type _M_allocated_capacity;
      };

      void
      _M_data(pointer __p)
      { _M_dataplus._M_p = __p; }

      void
      _M_length(size_type __length)
      { _M_string_length = __length; }

      pointer
      _M_data() const
      { return _M_dataplus._M_p; }

      pointer
      _M_local_data()
      {

 return std::pointer_traits<pointer>::pointer_to(*_M_local_buf);



      }

      const_pointer
      _M_local_data() const
      {

 return std::pointer_traits<const_pointer>::pointer_to(*_M_local_buf);



      }

      void
      _M_capacity(size_type __capacity)
      { _M_allocated_capacity = __capacity; }

      void
      _M_set_length(size_type __n)
      {
 _M_length(__n);
 traits_type::assign(_M_data()[__n], _CharT());
      }

      bool
      _M_is_local() const
      { return _M_data() == _M_local_data(); }


      pointer
      _M_create(size_type&, size_type);

      void
      _M_dispose()
      {
 if (!_M_is_local())
   _M_destroy(_M_allocated_capacity);
      }

      void
      _M_destroy(size_type __size) throw()
      { _Alloc_traits::deallocate(_M_get_allocator(), _M_data(), __size + 1); }



      template<typename _InIterator>
        void
        _M_construct_aux(_InIterator __beg, _InIterator __end,
    std::__false_type)
 {
          typedef typename iterator_traits<_InIterator>::iterator_category _Tag;
          _M_construct(__beg, __end, _Tag());
 }



      template<typename _Integer>
        void
        _M_construct_aux(_Integer __beg, _Integer __end, std::__true_type)
 { _M_construct_aux_2(static_cast<size_type>(__beg), __end); }

      void
      _M_construct_aux_2(size_type __req, _CharT __c)
      { _M_construct(__req, __c); }

      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end)
 {
   typedef typename std::__is_integer<_InIterator>::__type _Integral;
   _M_construct_aux(__beg, __end, _Integral());
        }


      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end,
       std::input_iterator_tag);



      template<typename _FwdIterator>
        void
        _M_construct(_FwdIterator __beg, _FwdIterator __end,
       std::forward_iterator_tag);

      void
      _M_construct(size_type __req, _CharT __c);

      allocator_type&
      _M_get_allocator()
      { return _M_dataplus; }

      const allocator_type&
      _M_get_allocator() const
      { return _M_dataplus; }

    private:
# 299 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      _M_check(size_type __pos, const char* __s) const
      {
 if (__pos > this->size())
   __throw_out_of_range_fmt(("%s: __pos (which is %zu) > " "this->size() (which is %zu)")
                                         ,
       __s, __pos, this->size());
 return __pos;
      }

      void
      _M_check_length(size_type __n1, size_type __n2, const char* __s) const
      {
 if (this->max_size() - (this->size() - __n1) < __n2)
   __throw_length_error((__s));
      }



      size_type
      _M_limit(size_type __pos, size_type __off) const noexcept
      {
 const bool __testoff = __off < this->size() - __pos;
 return __testoff ? __off : this->size() - __pos;
      }


      bool
      _M_disjunct(const _CharT* __s) const noexcept
      {
 return (less<const _CharT*>()(__s, _M_data())
  || less<const _CharT*>()(_M_data() + this->size(), __s));
      }



      static void
      _S_copy(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::copy(__d, __s, __n);
      }

      static void
      _S_move(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::move(__d, __s, __n);
      }

      static void
      _S_assign(_CharT* __d, size_type __n, _CharT __c)
      {
 if (__n == 1)
   traits_type::assign(*__d, __c);
 else
   traits_type::assign(__d, __n, __c);
      }



      template<class _Iterator>
        static void
        _S_copy_chars(_CharT* __p, _Iterator __k1, _Iterator __k2)
        {
   for (; __k1 != __k2; ++__k1, (void)++__p)
     traits_type::assign(*__p, *__k1);
 }

      static void
      _S_copy_chars(_CharT* __p, iterator __k1, iterator __k2) noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, const_iterator __k1, const_iterator __k2)
      noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, _CharT* __k1, _CharT* __k2) noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static void
      _S_copy_chars(_CharT* __p, const _CharT* __k1, const _CharT* __k2)
      noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 const difference_type __d = difference_type(__n1 - __n2);

 if (__d > __gnu_cxx::__numeric_traits<int>::__max)
   return __gnu_cxx::__numeric_traits<int>::__max;
 else if (__d < __gnu_cxx::__numeric_traits<int>::__min)
   return __gnu_cxx::__numeric_traits<int>::__min;
 else
   return int(__d);
      }

      void
      _M_assign(const basic_string&);

      void
      _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
  size_type __len2);

      void
      _M_erase(size_type __pos, size_type __n);

    public:







      basic_string()
      noexcept(is_nothrow_default_constructible<_Alloc>::value)
      : _M_dataplus(_M_local_data())
      { _M_set_length(0); }




      explicit
      basic_string(const _Alloc& __a) noexcept
      : _M_dataplus(_M_local_data(), __a)
      { _M_set_length(0); }





      basic_string(const basic_string& __str)
      : _M_dataplus(_M_local_data(),
      _Alloc_traits::_S_select_on_copy(__str._M_get_allocator()))
      { _M_construct(__str._M_data(), __str._M_data() + __str.length()); }
# 451 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string(const basic_string& __str, size_type __pos,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, npos));
      }







      basic_string(const basic_string& __str, size_type __pos,
     size_type __n)
      : _M_dataplus(_M_local_data())
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n));
      }
# 482 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string(const basic_string& __str, size_type __pos,
     size_type __n, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start
   = __str._M_data() + __str._M_check(__pos, "string::string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n));
      }
# 500 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string(const _CharT* __s, size_type __n,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s + __n); }
# 513 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename = _RequireAllocator<_Alloc>>

      basic_string(const _CharT* __s, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s ? __s + traits_type::length(__s) : __s+npos); }
# 528 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename = _RequireAllocator<_Alloc>>

      basic_string(size_type __n, _CharT __c, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__n, __c); }
# 542 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string(basic_string&& __str) noexcept
      : _M_dataplus(_M_local_data(), std::move(__str._M_get_allocator()))
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
   }
 else
   {
     _M_data(__str._M_data());
     _M_capacity(__str._M_allocated_capacity);
   }




 _M_length(__str.length());
 __str._M_data(__str._M_local_data());
 __str._M_set_length(0);
      }






      basic_string(initializer_list<_CharT> __l, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__l.begin(), __l.end()); }

      basic_string(const basic_string& __str, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__str.begin(), __str.end()); }

      basic_string(basic_string&& __str, const _Alloc& __a)
      noexcept(_Alloc_traits::_S_always_equal())
      : _M_dataplus(_M_local_data(), __a)
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
     _M_length(__str.length());
     __str._M_set_length(0);
   }
 else if (_Alloc_traits::_S_always_equal()
     || __str.get_allocator() == __a)
   {
     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     __str._M_data(__str._M_local_buf);
     __str._M_set_length(0);
   }
 else
   _M_construct(__str.begin(), __str.end());
      }
# 610 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string(_InputIterator __beg, _InputIterator __end,
       const _Alloc& __a = _Alloc())
 : _M_dataplus(_M_local_data(), __a)
 { _M_construct(__beg, __end); }
# 628 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp, typename = _If_sv<_Tp, void>>
 basic_string(const _Tp& __t, size_type __pos, size_type __n,
       const _Alloc& __a = _Alloc())
 : basic_string(_S_to_string_view(__t).substr(__pos, __n), __a) { }






      template<typename _Tp, typename = _If_sv<_Tp, void>>
 explicit
 basic_string(const _Tp& __t, const _Alloc& __a = _Alloc())
 : basic_string(__sv_wrapper(_S_to_string_view(__t)), __a) { }







      explicit
      basic_string(__sv_wrapper __svw, const _Alloc& __a)
      : basic_string(__svw._M_sv.data(), __svw._M_sv.size(), __a) { }





      ~basic_string()
      { _M_dispose(); }





      basic_string&
      operator=(const basic_string& __str)
      {

 if (_Alloc_traits::_S_propagate_on_copy_assign())
   {
     if (!_Alloc_traits::_S_always_equal() && !_M_is_local()
  && _M_get_allocator() != __str._M_get_allocator())
       {


  if (__str.size() <= _S_local_capacity)
    {
      _M_destroy(_M_allocated_capacity);
      _M_data(_M_local_data());
      _M_set_length(0);
    }
  else
    {
      const auto __len = __str.size();
      auto __alloc = __str._M_get_allocator();

      auto __ptr = _Alloc_traits::allocate(__alloc, __len + 1);
      _M_destroy(_M_allocated_capacity);
      _M_data(__ptr);
      _M_capacity(__len);
      _M_set_length(__len);
    }
       }
     std::__alloc_on_copy(_M_get_allocator(), __str._M_get_allocator());
   }

 return this->assign(__str);
      }





      basic_string&
      operator=(const _CharT* __s)
      { return this->assign(__s); }
# 714 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      operator=(_CharT __c)
      {
 this->assign(1, __c);
 return *this;
      }
# 731 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      operator=(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {
 if (!_M_is_local() && _Alloc_traits::_S_propagate_on_move_assign()
     && !_Alloc_traits::_S_always_equal()
     && _M_get_allocator() != __str._M_get_allocator())
   {

     _M_destroy(_M_allocated_capacity);
     _M_data(_M_local_data());
     _M_set_length(0);
   }

 std::__alloc_on_move(_M_get_allocator(), __str._M_get_allocator());

 if (__str._M_is_local())
   {

     if (__str.size())
       this->_S_copy(_M_data(), __str._M_data(), __str.size());
     _M_set_length(__str.size());
   }
 else if (_Alloc_traits::_S_propagate_on_move_assign()
     || _Alloc_traits::_S_always_equal()
     || _M_get_allocator() == __str._M_get_allocator())
   {

     pointer __data = nullptr;
     size_type __capacity;
     if (!_M_is_local())
       {
  if (_Alloc_traits::_S_always_equal())
    {

      __data = _M_data();
      __capacity = _M_allocated_capacity;
    }
  else
    _M_destroy(_M_allocated_capacity);
       }

     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     if (__data)
       {
  __str._M_data(__data);
  __str._M_capacity(__capacity);
       }
     else
       __str._M_data(__str._M_local_buf);
   }
 else
   assign(__str);
 __str.clear();
 return *this;
      }





      basic_string&
      operator=(initializer_list<_CharT> __l)
      {
 this->assign(__l.begin(), __l.size());
 return *this;
      }







     template<typename _Tp>
       _If_sv<_Tp, basic_string&>
       operator=(const _Tp& __svt)
       { return this->assign(__svt); }





      operator __sv_type() const noexcept
      { return __sv_type(data(), size()); }







      iterator
      begin() noexcept
      { return iterator(_M_data()); }





      const_iterator
      begin() const noexcept
      { return const_iterator(_M_data()); }





      iterator
      end() noexcept
      { return iterator(_M_data() + this->size()); }





      const_iterator
      end() const noexcept
      { return const_iterator(_M_data() + this->size()); }






      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(this->end()); }






      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      reverse_iterator
      rend() noexcept
      { return reverse_iterator(this->begin()); }






      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }






      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_data()); }





      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_data() + this->size()); }






      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }


    public:



      size_type
      size() const noexcept
      { return _M_string_length; }



      size_type
      length() const noexcept
      { return _M_string_length; }


      size_type
      max_size() const noexcept
      { return (_Alloc_traits::max_size(_M_get_allocator()) - 1) / 2; }
# 954 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      void
      resize(size_type __n, _CharT __c);
# 967 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      void
      resize(size_type __n)
      { this->resize(__n, _CharT()); }



      void
      shrink_to_fit() noexcept
      {

 if (capacity() > size())
   {
     try
       { reserve(0); }
     catch(...)
       { }
   }

      }






      size_type
      capacity() const noexcept
      {
 return _M_is_local() ? size_type(_S_local_capacity)
                      : _M_allocated_capacity;
      }
# 1016 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      void
      reserve(size_type __res_arg = 0);




      void
      clear() noexcept
      { _M_set_length(0); }





      bool
      empty() const noexcept
      { return this->size() == 0; }
# 1045 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      const_reference
      operator[] (size_type __pos) const noexcept
      {
 ;
 return _M_data()[__pos];
      }
# 1062 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      reference
      operator[](size_type __pos)
      {


 ;

 ;
 return _M_data()[__pos];
      }
# 1083 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      const_reference
      at(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }
# 1104 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      reference
      at(size_type __n)
      {
 if (__n >= size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }






      reference
      front() noexcept
      {
 ;
 return operator[](0);
      }





      const_reference
      front() const noexcept
      {
 ;
 return operator[](0);
      }





      reference
      back() noexcept
      {
 ;
 return operator[](this->size() - 1);
      }





      const_reference
      back() const noexcept
      {
 ;
 return operator[](this->size() - 1);
      }
# 1167 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      operator+=(const basic_string& __str)
      { return this->append(__str); }






      basic_string&
      operator+=(const _CharT* __s)
      { return this->append(__s); }






      basic_string&
      operator+=(_CharT __c)
      {
 this->push_back(__c);
 return *this;
      }







      basic_string&
      operator+=(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1209 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 operator+=(const _Tp& __svt)
 { return this->append(__svt); }







      basic_string&
      append(const basic_string& __str)
      { return _M_append(__str._M_data(), __str.size()); }
# 1237 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      append(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_append(__str._M_data()
    + __str._M_check(__pos, "basic_string::append"),
    __str._M_limit(__pos, __n)); }







      basic_string&
      append(const _CharT* __s, size_type __n)
      {
 ;
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }






      basic_string&
      append(const _CharT* __s)
      {
 ;
 const size_type __n = traits_type::length(__s);
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }
# 1279 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      append(size_type __n, _CharT __c)
      { return _M_replace_aux(this->size(), size_type(0), __n, __c); }







      basic_string&
      append(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1303 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string&
        append(_InputIterator __first, _InputIterator __last)
        { return this->replace(end(), end(), __first, __last); }







      template<typename _Tp>
        _If_sv<_Tp, basic_string&>
        append(const _Tp& __svt)
        {
          __sv_type __sv = __svt;
          return this->append(__sv.data(), __sv.size());
        }
# 1333 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
        _If_sv<_Tp, basic_string&>
 append(const _Tp& __svt, size_type __pos, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return _M_append(__sv.data()
      + __sv._M_check(__pos, "basic_string::append"),
      __sv._M_limit(__pos, __n));
 }






      void
      push_back(_CharT __c)
      {
 const size_type __size = this->size();
 if (__size + 1 > this->capacity())
   this->_M_mutate(__size, size_type(0), 0, size_type(1));
 traits_type::assign(this->_M_data()[__size], __c);
 this->_M_set_length(__size + 1);
      }






      basic_string&
      assign(const basic_string& __str)
      {
 this->_M_assign(__str);
 return *this;
      }
# 1379 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      assign(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {


 return *this = std::move(__str);
      }
# 1402 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      assign(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_replace(size_type(0), this->size(), __str._M_data()
     + __str._M_check(__pos, "basic_string::assign"),
     __str._M_limit(__pos, __n)); }
# 1418 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      assign(const _CharT* __s, size_type __n)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s, __n);
      }
# 1434 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      assign(const _CharT* __s)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s,
     traits_type::length(__s));
      }
# 1451 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      assign(size_type __n, _CharT __c)
      { return _M_replace_aux(size_type(0), this->size(), __n, __c); }
# 1464 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string&
        assign(_InputIterator __first, _InputIterator __last)
        { return this->replace(begin(), end(), __first, __last); }







      basic_string&
      assign(initializer_list<_CharT> __l)
      { return this->assign(__l.begin(), __l.size()); }
# 1490 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 assign(const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->assign(__sv.data(), __sv.size());
 }
# 1505 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 assign(const _Tp& __svt, size_type __pos, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return _M_replace(size_type(0), this->size(), __sv.data()
       + __sv._M_check(__pos, "basic_string::assign"),
       __sv._M_limit(__pos, __n));
 }
# 1532 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      iterator
      insert(const_iterator __p, size_type __n, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 this->replace(__p, __p, __n, __c);
 return iterator(this->_M_data() + __pos);
      }
# 1574 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
        insert(const_iterator __p, _InputIterator __beg, _InputIterator __end)
        {
   ;
   const size_type __pos = __p - begin();
   this->replace(__p, __p, __beg, __end);
   return iterator(this->_M_data() + __pos);
 }
# 1610 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      iterator
      insert(const_iterator __p, initializer_list<_CharT> __l)
      { return this->insert(__p, __l.begin(), __l.end()); }
# 1637 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos1, const basic_string& __str)
      { return this->replace(__pos1, size_type(0),
        __str._M_data(), __str.size()); }
# 1660 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos1, const basic_string& __str,
      size_type __pos2, size_type __n = npos)
      { return this->replace(__pos1, size_type(0), __str._M_data()
        + __str._M_check(__pos2, "basic_string::insert"),
        __str._M_limit(__pos2, __n)); }
# 1683 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos, const _CharT* __s, size_type __n)
      { return this->replace(__pos, size_type(0), __s, __n); }
# 1702 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos, const _CharT* __s)
      {
 ;
 return this->replace(__pos, size_type(0), __s,
        traits_type::length(__s));
      }
# 1726 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      insert(size_type __pos, size_type __n, _CharT __c)
      { return _M_replace_aux(_M_check(__pos, "basic_string::insert"),
         size_type(0), __n, __c); }
# 1744 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      iterator
      insert(__const_iterator __p, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 _M_replace_aux(__pos, size_type(0), size_type(1), __c);
 return iterator(_M_data() + __pos);
      }
# 1760 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 insert(size_type __pos, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->insert(__pos, __sv.data(), __sv.size());
 }
# 1777 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 insert(size_type __pos1, const _Tp& __svt,
        size_type __pos2, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos1, size_type(0), __sv.data()
          + __sv._M_check(__pos2, "basic_string::insert"),
          __sv._M_limit(__pos2, __n));
 }
# 1804 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      erase(size_type __pos = 0, size_type __n = npos)
      {
 _M_check(__pos, "basic_string::erase");
 if (__n == npos)
   this->_M_set_length(__pos);
 else if (__n != 0)
   this->_M_erase(__pos, _M_limit(__pos, __n));
 return *this;
      }
# 1823 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      iterator
      erase(__const_iterator __position)
      {

                           ;
 const size_type __pos = __position - begin();
 this->_M_erase(__pos, size_type(1));
 return iterator(_M_data() + __pos);
      }
# 1842 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      iterator
      erase(__const_iterator __first, __const_iterator __last)
      {

                        ;
        const size_type __pos = __first - begin();
 if (__last == end())
   this->_M_set_length(__pos);
 else
   this->_M_erase(__pos, __last - __first);
 return iterator(this->_M_data() + __pos);
      }







      void
      pop_back() noexcept
      {
 ;
 _M_erase(size() - 1, 1);
      }
# 1886 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n, const basic_string& __str)
      { return this->replace(__pos, __n, __str._M_data(), __str.size()); }
# 1908 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos)
      { return this->replace(__pos1, __n1, __str._M_data()
        + __str._M_check(__pos2, "basic_string::replace"),
        __str._M_limit(__pos2, __n2)); }
# 1933 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2)
      {
 ;
 return _M_replace(_M_check(__pos, "basic_string::replace"),
     _M_limit(__pos, __n1), __s, __n2);
      }
# 1958 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s)
      {
 ;
 return this->replace(__pos, __n1, __s, traits_type::length(__s));
      }
# 1982 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(size_type __pos, size_type __n1, size_type __n2, _CharT __c)
      { return _M_replace_aux(_M_check(__pos, "basic_string::replace"),
         _M_limit(__pos, __n1), __n2, __c); }
# 2000 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const basic_string& __str)
      { return this->replace(__i1, __i2, __str._M_data(), __str.size()); }
# 2020 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __s, size_type __n)
      {

                      ;
 return this->replace(__i1 - begin(), __i2 - __i1, __s, __n);
      }
# 2042 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, const _CharT* __s)
      {
 ;
 return this->replace(__i1, __i2, __s, traits_type::length(__s));
      }
# 2063 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, size_type __n,
       _CharT __c)
      {

                      ;
 return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __c);
      }
# 2088 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
        basic_string&
        replace(const_iterator __i1, const_iterator __i2,
  _InputIterator __k1, _InputIterator __k2)
        {
  
                        ;
   ;
   return this->_M_replace_dispatch(__i1, __i2, __k1, __k2,
        std::__false_type());
 }
# 2120 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       _CharT* __k1, _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __k1, const _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       iterator __k1, iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }

      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const_iterator __k1, const_iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }
# 2179 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string& replace(const_iterator __i1, const_iterator __i2,
       initializer_list<_CharT> __l)
      { return this->replace(__i1, __i2, __l.begin(), __l.size()); }
# 2192 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 replace(size_type __pos, size_type __n, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos, __n, __sv.data(), __sv.size());
 }
# 2209 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 replace(size_type __pos1, size_type __n1, const _Tp& __svt,
  size_type __pos2, size_type __n2 = npos)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos1, __n1, __sv.data()
          + __sv._M_check(__pos2, "basic_string::replace"),
          __sv._M_limit(__pos2, __n2));
 }
# 2229 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, basic_string&>
 replace(const_iterator __i1, const_iterator __i2, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->replace(__i1 - begin(), __i2 - __i1, __sv);
 }


    private:
      template<class _Integer>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _Integer __n, _Integer __val, __true_type)
        { return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __val); }

      template<class _InputIterator>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _InputIterator __k1, _InputIterator __k2,
       __false_type);

      basic_string&
      _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
       _CharT __c);

      basic_string&
      _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
   const size_type __len2);

      basic_string&
      _M_append(const _CharT* __s, size_type __n);

    public:
# 2276 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      copy(_CharT* __s, size_type __n, size_type __pos = 0) const;
# 2286 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      void
      swap(basic_string& __s) noexcept;
# 2296 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      const _CharT*
      c_str() const noexcept
      { return _M_data(); }
# 2308 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      const _CharT*
      data() const noexcept
      { return _M_data(); }
# 2319 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      _CharT*
      data() noexcept
      { return _M_data(); }





      allocator_type
      get_allocator() const noexcept
      { return _M_get_allocator(); }
# 2343 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2357 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find(__str.data(), __pos, __str.size()); }
# 2369 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 find(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find(__sv.data(), __pos, __sv.size());
 }
# 2389 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos = 0) const noexcept
      {
 ;
 return this->find(__s, __pos, traits_type::length(__s));
      }
# 2406 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;
# 2419 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      rfind(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->rfind(__str.data(), __pos, __str.size()); }
# 2431 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 rfind(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->rfind(__sv.data(), __pos, __sv.size());
 }
# 2453 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2467 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos = npos) const
      {
 ;
 return this->rfind(__s, __pos, traits_type::length(__s));
      }
# 2484 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;
# 2498 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_of(__str.data(), __pos, __str.size()); }
# 2511 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 find_first_of(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_first_of(__sv.data(), __pos, __sv.size());
 }
# 2533 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2547 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_of(__s, __pos, traits_type::length(__s));
      }
# 2567 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }
# 2582 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_of(__str.data(), __pos, __str.size()); }
# 2595 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 find_last_of(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_last_of(__sv.data(), __pos, __sv.size());
 }
# 2617 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2631 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_of(__s, __pos, traits_type::length(__s));
      }
# 2651 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_of(_CharT __c, size_type __pos = npos) const noexcept
      { return this->rfind(__c, __pos); }
# 2665 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_not_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_not_of(__str.data(), __pos, __str.size()); }
# 2678 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 find_first_not_of(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_first_not_of(__sv.data(), __pos, __sv.size());
 }
# 2700 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos,
   size_type __n) const noexcept;
# 2714 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_not_of(__s, __pos, traits_type::length(__s));
      }
# 2732 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const
      noexcept;
# 2747 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_not_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_not_of(__str.data(), __pos, __str.size()); }
# 2760 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, size_type>
 find_last_not_of(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_last_not_of(__sv.data(), __pos, __sv.size());
 }
# 2782 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos,
         size_type __n) const noexcept;
# 2796 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_not_of(__s, __pos, traits_type::length(__s));
      }
# 2814 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const
      noexcept;
# 2830 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      basic_string
      substr(size_type __pos = 0, size_type __n = npos) const
      { return basic_string(*this,
       _M_check(__pos, "basic_string::substr"), __n); }
# 2849 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(const basic_string& __str) const
      {
 const size_type __size = this->size();
 const size_type __osize = __str.size();
 const size_type __len = std::min(__size, __osize);

 int __r = traits_type::compare(_M_data(), __str.data(), __len);
 if (!__r)
   __r = _S_compare(__size, __osize);
 return __r;
      }







      template<typename _Tp>
 _If_sv<_Tp, int>
 compare(const _Tp& __svt) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   const size_type __size = this->size();
   const size_type __osize = __sv.size();
   const size_type __len = std::min(__size, __osize);

   int __r = traits_type::compare(_M_data(), __sv.data(), __len);
   if (!__r)
     __r = _S_compare(__size, __osize);
   return __r;
 }
# 2892 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, int>
 compare(size_type __pos, size_type __n, const _Tp& __svt) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return __sv_type(*this).substr(__pos, __n).compare(__sv);
 }
# 2911 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      template<typename _Tp>
 _If_sv<_Tp, int>
 compare(size_type __pos1, size_type __n1, const _Tp& __svt,
  size_type __pos2, size_type __n2 = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return __sv_type(*this)
     .substr(__pos1, __n1).compare(__sv.substr(__pos2, __n2));
 }
# 2942 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n, const basic_string& __str) const;
# 2968 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos) const;
# 2986 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(const _CharT* __s) const noexcept;
# 3010 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s) const;
# 3037 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2) const;


      bool
      starts_with(basic_string_view<_CharT, _Traits> __x) const noexcept
      { return __sv_type(this->data(), this->size()).starts_with(__x); }

      bool
      starts_with(_CharT __x) const noexcept
      { return __sv_type(this->data(), this->size()).starts_with(__x); }

      bool
      starts_with(const _CharT* __x) const noexcept
      { return __sv_type(this->data(), this->size()).starts_with(__x); }

      bool
      ends_with(basic_string_view<_CharT, _Traits> __x) const noexcept
      { return __sv_type(this->data(), this->size()).ends_with(__x); }

      bool
      ends_with(_CharT __x) const noexcept
      { return __sv_type(this->data(), this->size()).ends_with(__x); }

      bool
      ends_with(const _CharT* __x) const noexcept
      { return __sv_type(this->data(), this->size()).ends_with(__x); }



      template<typename, typename, typename> friend class basic_stringbuf;
    };
}
# 5954 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
namespace __cxx11 {
  template<typename _InputIterator, typename _CharT
      = typename iterator_traits<_InputIterator>::value_type,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(_InputIterator, _InputIterator, _Allocator = _Allocator())
      -> basic_string<_CharT, char_traits<_CharT>, _Allocator>;



  template<typename _CharT, typename _Traits,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(basic_string_view<_CharT, _Traits>, const _Allocator& = _Allocator())
      -> basic_string<_CharT, _Traits, _Allocator>;

  template<typename _CharT, typename _Traits,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(basic_string_view<_CharT, _Traits>,
   typename basic_string<_CharT, _Traits, _Allocator>::size_type,
   typename basic_string<_CharT, _Traits, _Allocator>::size_type,
   const _Allocator& = _Allocator())
      -> basic_string<_CharT, _Traits, _Allocator>;
}
# 5989 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
      __str.append(__rhs);
      return __str;
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT,_Traits,_Alloc>
    operator+(const _CharT* __lhs,
       const basic_string<_CharT,_Traits,_Alloc>& __rhs);







  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT,_Traits,_Alloc>
    operator+(_CharT __lhs, const basic_string<_CharT,_Traits,_Alloc>& __rhs);







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    {
      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
      __str.append(__rhs);
      return __str;
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs, _CharT __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      __string_type __str(__lhs);
      __str.append(__size_type(1), __rhs);
      return __str;
    }


  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    {
      const auto __size = __lhs.size() + __rhs.size();
      const bool __cond = (__size > __lhs.capacity()
      && __size <= __rhs.capacity());
      return __cond ? std::move(__rhs.insert(0, __lhs))
             : std::move(__lhs.append(__rhs));
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, 1, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const _CharT* __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       _CharT __rhs)
    { return std::move(__lhs.append(1, __rhs)); }
# 6110 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) == 0; }

  template<typename _CharT>
    inline
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, bool>::__type
    operator==(const basic_string<_CharT>& __lhs,
        const basic_string<_CharT>& __rhs) noexcept
    { return (__lhs.size() == __rhs.size()
       && !std::char_traits<_CharT>::compare(__lhs.data(), __rhs.data(),
          __lhs.size())); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) == 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) == 0; }
# 6157 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return !(__lhs == __rhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return !(__lhs == __rhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return !(__lhs == __rhs); }
# 6195 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) > 0; }
# 6233 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) < 0; }
# 6271 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) >= 0; }
# 6309 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const _CharT* __lhs,
      const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) <= 0; }
# 6347 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline void
    swap(basic_string<_CharT, _Traits, _Alloc>& __lhs,
  basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept(noexcept(__lhs.swap(__rhs)))
    { __lhs.swap(__rhs); }
# 6367 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __is,
        basic_string<_CharT, _Traits, _Alloc>& __str);

  template<>
    basic_istream<char>&
    operator>>(basic_istream<char>& __is, basic_string<char>& __str);
# 6385 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os,
        const basic_string<_CharT, _Traits, _Alloc>& __str)
    {


      return __ostream_insert(__os, __str.data(), __str.size());
    }
# 6408 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim);
# 6425 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str)
    { return std::getline(__is, __str, __is.widen('\n')); }



  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>&& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    { return std::getline(__is, __str, __delim); }


  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>&& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str)
    { return std::getline(__is, __str); }


  template<>
    basic_istream<char>&
    getline(basic_istream<char>& __in, basic_string<char>& __str,
     char __delim);


  template<>
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>& __in, basic_string<wchar_t>& __str,
     wchar_t __delim);



}



# 1 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 3
# 41 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/cstdlib" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cstdlib" 3
# 42 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/cwchar" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cwchar" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cwchar" 3
# 43 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/cstdio" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cstdio" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cstdio" 3


# 1 "/usr/include/stdio.h" 1 3 4
# 27 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/stdio.h" 2 3 4

extern "C" {



# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 34 "/usr/include/stdio.h" 2 3 4







# 1 "/usr/include/x86_64-linux-gnu/bits/libio.h" 1 3 4
# 35 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/_G_config.h" 2 3 4






typedef struct
{
  __off_t __pos;
  __mbstate_t __state;
} _G_fpos_t;
typedef struct
{
  __off64_t __pos;
  __mbstate_t __state;
} _G_fpos64_t;
# 36 "/usr/include/x86_64-linux-gnu/bits/libio.h" 2 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stdarg.h" 1 3 4
# 54 "/usr/include/x86_64-linux-gnu/bits/libio.h" 2 3 4
# 149 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
struct _IO_jump_t; struct _IO_FILE;




typedef void _IO_lock_t;





struct _IO_marker {
  struct _IO_marker *_next;
  struct _IO_FILE *_sbuf;



  int _pos;
# 177 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
};


enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
# 245 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
struct _IO_FILE {
  int _flags;




  char* _IO_read_ptr;
  char* _IO_read_end;
  char* _IO_read_base;
  char* _IO_write_base;
  char* _IO_write_ptr;
  char* _IO_write_end;
  char* _IO_buf_base;
  char* _IO_buf_end;

  char *_IO_save_base;
  char *_IO_backup_base;
  char *_IO_save_end;

  struct _IO_marker *_markers;

  struct _IO_FILE *_chain;

  int _fileno;



  int _flags2;

  __off_t _old_offset;



  unsigned short _cur_column;
  signed char _vtable_offset;
  char _shortbuf[1];



  _IO_lock_t *_lock;
# 293 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
  __off64_t _offset;







  void *__pad1;
  void *__pad2;
  void *__pad3;
  void *__pad4;

  size_t __pad5;
  int _mode;

  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];

};





struct _IO_FILE_plus;

extern struct _IO_FILE_plus _IO_2_1_stdin_;
extern struct _IO_FILE_plus _IO_2_1_stdout_;
extern struct _IO_FILE_plus _IO_2_1_stderr_;
# 337 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
typedef __ssize_t __io_read_fn (void *__cookie, char *__buf, size_t __nbytes);







typedef __ssize_t __io_write_fn (void *__cookie, const char *__buf,
     size_t __n);







typedef int __io_seek_fn (void *__cookie, __off64_t *__pos, int __w);


typedef int __io_close_fn (void *__cookie);




typedef __io_read_fn cookie_read_function_t;
typedef __io_write_fn cookie_write_function_t;
typedef __io_seek_fn cookie_seek_function_t;
typedef __io_close_fn cookie_close_function_t;


typedef struct
{
  __io_read_fn *read;
  __io_write_fn *write;
  __io_seek_fn *seek;
  __io_close_fn *close;
} _IO_cookie_io_functions_t;
typedef _IO_cookie_io_functions_t cookie_io_functions_t;

struct _IO_cookie_file;


extern void _IO_cookie_init (struct _IO_cookie_file *__cfile, int __read_write,
        void *__cookie, _IO_cookie_io_functions_t __fns);




extern "C" {


extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);
# 433 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
extern int _IO_getc (_IO_FILE *__fp);
extern int _IO_putc (int __c, _IO_FILE *__fp);
extern int _IO_feof (_IO_FILE *__fp) throw ();
extern int _IO_ferror (_IO_FILE *__fp) throw ();

extern int _IO_peekc_locked (_IO_FILE *__fp);





extern void _IO_flockfile (_IO_FILE *) throw ();
extern void _IO_funlockfile (_IO_FILE *) throw ();
extern int _IO_ftrylockfile (_IO_FILE *) throw ();
# 462 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
extern int _IO_vfscanf (_IO_FILE * __restrict, const char * __restrict,
   __gnuc_va_list, int *__restrict);
extern int _IO_vfprintf (_IO_FILE *__restrict, const char *__restrict,
    __gnuc_va_list);
extern __ssize_t _IO_padn (_IO_FILE *, int, __ssize_t);
extern size_t _IO_sgetn (_IO_FILE *, void *, size_t);

extern __off64_t _IO_seekoff (_IO_FILE *, __off64_t, int, int);
extern __off64_t _IO_seekpos (_IO_FILE *, __off64_t, int);

extern void _IO_free_backup_area (_IO_FILE *) throw ();
# 524 "/usr/include/x86_64-linux-gnu/bits/libio.h" 3 4
}
# 42 "/usr/include/stdio.h" 2 3 4




typedef __gnuc_va_list va_list;
# 78 "/usr/include/stdio.h" 3 4
typedef _G_fpos_t fpos_t;




typedef _G_fpos64_t fpos64_t;
# 131 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 1 3 4
# 132 "/usr/include/stdio.h" 2 3 4



extern struct _IO_FILE *stdin;
extern struct _IO_FILE *stdout;
extern struct _IO_FILE *stderr;






extern int remove (const char *__filename) throw ();

extern int rename (const char *__old, const char *__new) throw ();



extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) throw ();







extern FILE *tmpfile (void) ;
# 169 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void) ;



extern char *tmpnam (char *__s) throw () ;




extern char *tmpnam_r (char *__s) throw () ;
# 190 "/usr/include/stdio.h" 3 4
extern char *tempnam (const char *__dir, const char *__pfx)
     throw () __attribute__ ((__malloc__)) ;







extern int fclose (FILE *__stream);




extern int fflush (FILE *__stream);
# 213 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 223 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);
# 232 "/usr/include/stdio.h" 3 4
extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes) ;




extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) ;
# 256 "/usr/include/stdio.h" 3 4
extern FILE *fopen64 (const char *__restrict __filename,
        const char *__restrict __modes) ;
extern FILE *freopen64 (const char *__restrict __filename,
   const char *__restrict __modes,
   FILE *__restrict __stream) ;




extern FILE *fdopen (int __fd, const char *__modes) throw () ;





extern FILE *fopencookie (void *__restrict __magic_cookie,
     const char *__restrict __modes,
     _IO_cookie_io_functions_t __io_funcs) throw () ;




extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  throw () ;




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) throw () ;





extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) throw ();



extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) throw ();




extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) throw ();


extern void setlinebuf (FILE *__stream) throw ();







extern int fprintf (FILE *__restrict __stream,
      const char *__restrict __format, ...);




extern int printf (const char *__restrict __format, ...);

extern int sprintf (char *__restrict __s,
      const char *__restrict __format, ...) throw ();





extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg);




extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);

extern int vsprintf (char *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) throw ();



extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     throw () __attribute__ ((__format__ (__printf__, 3, 4)));

extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__printf__, 3, 0)));





extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
        __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__printf__, 2, 0))) ;
extern int __asprintf (char **__restrict __ptr,
         const char *__restrict __fmt, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int asprintf (char **__restrict __ptr,
       const char *__restrict __fmt, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3))) ;




extern int vdprintf (int __fd, const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));







extern int fscanf (FILE *__restrict __stream,
     const char *__restrict __format, ...) ;




extern int scanf (const char *__restrict __format, ...) ;

extern int sscanf (const char *__restrict __s,
     const char *__restrict __format, ...) throw ();
# 420 "/usr/include/stdio.h" 3 4
extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
      __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 2, 0))) ;





extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 1, 0))) ;


extern int vsscanf (const char *__restrict __s,
      const char *__restrict __format, __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__scanf__, 2, 0)));
# 477 "/usr/include/stdio.h" 3 4
extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);





extern int getchar (void);
# 495 "/usr/include/stdio.h" 3 4
extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
# 506 "/usr/include/stdio.h" 3 4
extern int fgetc_unlocked (FILE *__stream);
# 517 "/usr/include/stdio.h" 3 4
extern int fputc (int __c, FILE *__stream);
extern int putc (int __c, FILE *__stream);





extern int putchar (int __c);
# 537 "/usr/include/stdio.h" 3 4
extern int fputc_unlocked (int __c, FILE *__stream);







extern int putc_unlocked (int __c, FILE *__stream);
extern int putchar_unlocked (int __c);






extern int getw (FILE *__stream);


extern int putw (int __w, FILE *__stream);







extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     ;
# 587 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream) ;
# 603 "/usr/include/stdio.h" 3 4
extern __ssize_t __getdelim (char **__restrict __lineptr,
          size_t *__restrict __n, int __delimiter,
          FILE *__restrict __stream) ;
extern __ssize_t getdelim (char **__restrict __lineptr,
        size_t *__restrict __n, int __delimiter,
        FILE *__restrict __stream) ;







extern __ssize_t getline (char **__restrict __lineptr,
       size_t *__restrict __n,
       FILE *__restrict __stream) ;







extern int fputs (const char *__restrict __s, FILE *__restrict __stream);





extern int puts (const char *__s);






extern int ungetc (int __c, FILE *__stream);






extern size_t fread (void *__restrict __ptr, size_t __size,
       size_t __n, FILE *__restrict __stream) ;




extern size_t fwrite (const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s);
# 662 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream);
# 673 "/usr/include/stdio.h" 3 4
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) ;
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream);







extern int fseek (FILE *__stream, long int __off, int __whence);




extern long int ftell (FILE *__stream) ;




extern void rewind (FILE *__stream);
# 707 "/usr/include/stdio.h" 3 4
extern int fseeko (FILE *__stream, __off_t __off, int __whence);




extern __off_t ftello (FILE *__stream) ;
# 731 "/usr/include/stdio.h" 3 4
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);




extern int fsetpos (FILE *__stream, const fpos_t *__pos);
# 750 "/usr/include/stdio.h" 3 4
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence);
extern __off64_t ftello64 (FILE *__stream) ;
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos);
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos);



extern void clearerr (FILE *__stream) throw ();

extern int feof (FILE *__stream) throw () ;

extern int ferror (FILE *__stream) throw () ;



extern void clearerr_unlocked (FILE *__stream) throw ();
extern int feof_unlocked (FILE *__stream) throw () ;
extern int ferror_unlocked (FILE *__stream) throw () ;







extern void perror (const char *__s);





# 1 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 3 4
extern int sys_nerr;
extern const char *const sys_errlist[];


extern int _sys_nerr;
extern const char *const _sys_errlist[];
# 782 "/usr/include/stdio.h" 2 3 4




extern int fileno (FILE *__stream) throw () ;




extern int fileno_unlocked (FILE *__stream) throw () ;
# 800 "/usr/include/stdio.h" 3 4
extern FILE *popen (const char *__command, const char *__modes) ;





extern int pclose (FILE *__stream);





extern char *ctermid (char *__s) throw ();





extern char *cuserid (char *__s);




struct obstack;


extern int obstack_printf (struct obstack *__restrict __obstack,
      const char *__restrict __format, ...)
     throw () __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
       const char *__restrict __format,
       __gnuc_va_list __args)
     throw () __attribute__ ((__format__ (__printf__, 2, 0)));







extern void flockfile (FILE *__stream) throw ();



extern int ftrylockfile (FILE *__stream) throw () ;


extern void funlockfile (FILE *__stream) throw ();
# 868 "/usr/include/stdio.h" 3 4
}
# 43 "/opt/sutton/include/c++/9.0.0/cstdio" 2 3
# 96 "/opt/sutton/include/c++/9.0.0/cstdio" 3
namespace std
{
  using ::FILE;
  using ::fpos_t;

  using ::clearerr;
  using ::fclose;
  using ::feof;
  using ::ferror;
  using ::fflush;
  using ::fgetc;
  using ::fgetpos;
  using ::fgets;
  using ::fopen;
  using ::fprintf;
  using ::fputc;
  using ::fputs;
  using ::fread;
  using ::freopen;
  using ::fscanf;
  using ::fseek;
  using ::fsetpos;
  using ::ftell;
  using ::fwrite;
  using ::getc;
  using ::getchar;




  using ::perror;
  using ::printf;
  using ::putc;
  using ::putchar;
  using ::puts;
  using ::remove;
  using ::rename;
  using ::rewind;
  using ::scanf;
  using ::setbuf;
  using ::setvbuf;
  using ::sprintf;
  using ::sscanf;
  using ::tmpfile;

  using ::tmpnam;

  using ::ungetc;
  using ::vfprintf;
  using ::vprintf;
  using ::vsprintf;
}
# 157 "/opt/sutton/include/c++/9.0.0/cstdio" 3
namespace __gnu_cxx
{
# 175 "/opt/sutton/include/c++/9.0.0/cstdio" 3
  using ::snprintf;
  using ::vfscanf;
  using ::vscanf;
  using ::vsnprintf;
  using ::vsscanf;

}

namespace std
{
  using ::__gnu_cxx::snprintf;
  using ::__gnu_cxx::vfscanf;
  using ::__gnu_cxx::vscanf;
  using ::__gnu_cxx::vsnprintf;
  using ::__gnu_cxx::vsscanf;
}
# 44 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/cerrno" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cerrno" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cerrno" 3


# 1 "/usr/include/errno.h" 1 3 4
# 28 "/usr/include/errno.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/errno.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/errno.h" 3 4
# 1 "/usr/include/linux/errno.h" 1 3 4
# 1 "/usr/include/x86_64-linux-gnu/asm/errno.h" 1 3 4
# 1 "/usr/include/asm-generic/errno.h" 1 3 4




# 1 "/usr/include/asm-generic/errno-base.h" 1 3 4
# 6 "/usr/include/asm-generic/errno.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/asm/errno.h" 2 3 4
# 1 "/usr/include/linux/errno.h" 2 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/errno.h" 2 3 4
# 29 "/usr/include/errno.h" 2 3 4





extern "C" {


extern int *__errno_location (void) throw () __attribute__ ((__const__));







extern char *program_invocation_name;
extern char *program_invocation_short_name;





typedef int error_t;




}
# 43 "/opt/sutton/include/c++/9.0.0/cerrno" 2 3
# 45 "/opt/sutton/include/c++/9.0.0/ext/string_conversions.h" 2 3

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



  template<typename _TRet, typename _Ret = _TRet, typename _CharT,
    typename... _Base>
    _Ret
    __stoa(_TRet (*__convf) (const _CharT*, _CharT**, _Base...),
    const char* __name, const _CharT* __str, std::size_t* __idx,
    _Base... __base)
    {
      _Ret __ret;

      _CharT* __endptr;

      struct _Save_errno {
 _Save_errno() : _M_errno((*__errno_location ())) { (*__errno_location ()) = 0; }
 ~_Save_errno() { if ((*__errno_location ()) == 0) (*__errno_location ()) = _M_errno; }
 int _M_errno;
      } const __save_errno;

      struct _Range_chk {
   static bool
   _S_chk(_TRet, std::false_type) { return false; }

   static bool
   _S_chk(_TRet __val, std::true_type)
   {
     return __val < _TRet(__numeric_traits<int>::__min)
       || __val > _TRet(__numeric_traits<int>::__max);
   }
      };

      const _TRet __tmp = __convf(__str, &__endptr, __base...);

      if (__endptr == __str)
 std::__throw_invalid_argument(__name);
      else if ((*__errno_location ()) == 34
   || _Range_chk::_S_chk(__tmp, std::is_same<_Ret, int>{}))
 std::__throw_out_of_range(__name);
      else
 __ret = __tmp;

      if (__idx)
 *__idx = __endptr - __str;

      return __ret;
    }


  template<typename _String, typename _CharT = typename _String::value_type>
    _String
    __to_xstring(int (*__convf) (_CharT*, std::size_t, const _CharT*,
     __builtin_va_list), std::size_t __n,
   const _CharT* __fmt, ...)
    {


      _CharT* __s = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
         * __n));

      __builtin_va_list __args;
      __builtin_va_start(__args, __fmt);

      const int __len = __convf(__s, __n, __fmt, __args);

      __builtin_va_end(__args);

      return _String(__s, __s + __len);
    }


}
# 6465 "/opt/sutton/include/c++/9.0.0/bits/basic_string.h" 2 3

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

namespace __cxx11 {



  inline int
  stoi(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::strtol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtold, "stold", __str.c_str(), __idx); }






  inline string
  to_string(int __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(int),
        "%d", __val); }

  inline string
  to_string(unsigned __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned),
        "%u", __val); }

  inline string
  to_string(long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(long),
        "%ld", __val); }

  inline string
  to_string(unsigned long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long),
        "%lu", __val); }

  inline string
  to_string(long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(long long),
        "%lld", __val); }

  inline string
  to_string(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long long),
        "%llu", __val); }

  inline string
  to_string(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%Lf", __val);
  }



  inline int
  stoi(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::wcstol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstold, "stold", __str.c_str(), __idx); }



  inline wstring
  to_wstring(int __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(int),
         L"%d", __val); }

  inline wstring
  to_wstring(unsigned __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned),
         L"%u", __val); }

  inline wstring
  to_wstring(long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(long),
         L"%ld", __val); }

  inline wstring
  to_wstring(unsigned long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long),
         L"%lu", __val); }

  inline wstring
  to_wstring(long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(long long),
         L"%lld", __val); }

  inline wstring
  to_wstring(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long long),
         L"%llu", __val); }

  inline wstring
  to_wstring(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  inline wstring
  to_wstring(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  inline wstring
  to_wstring(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%Lf", __val);
  }



}

}







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






  template<>
    struct hash<string>
    : public __hash_base<size_t, string>
    {
      size_t
      operator()(const string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(), __s.length()); }
    };

  template<>
    struct __is_fast_hash<hash<string>> : std::false_type
    { };



  template<>
    struct hash<wstring>
    : public __hash_base<size_t, wstring>
    {
      size_t
      operator()(const wstring& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(wchar_t)); }
    };

  template<>
    struct __is_fast_hash<hash<wstring>> : std::false_type
    { };




  template<>
    struct hash<u16string>
    : public __hash_base<size_t, u16string>
    {
      size_t
      operator()(const u16string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char16_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u16string>> : std::false_type
    { };


  template<>
    struct hash<u32string>
    : public __hash_base<size_t, u32string>
    {
      size_t
      operator()(const u32string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char32_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u32string>> : std::false_type
    { };





  inline namespace literals
  {
  inline namespace string_literals
  {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wliteral-suffix"
    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char>
    operator""s(const char* __str, size_t __len)
    { return basic_string<char>{__str, __len}; }


    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<wchar_t>
    operator""s(const wchar_t* __str, size_t __len)
    { return basic_string<wchar_t>{__str, __len}; }


    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char16_t>
    operator""s(const char16_t* __str, size_t __len)
    { return basic_string<char16_t>{__str, __len}; }

    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char32_t>
    operator""s(const char32_t* __str, size_t __len)
    { return basic_string<char32_t>{__str, __len}; }

#pragma GCC diagnostic pop
  }
  }




}
# 56 "/opt/sutton/include/c++/9.0.0/string" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 1 3
# 42 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 3
       
# 43 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 3



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




  template<typename _CharT, typename _Traits, typename _Alloc>
    const typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::npos;

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    swap(basic_string& __s) noexcept
    {
      if (this == &__s)
 return;

      _Alloc_traits::_S_on_swap(_M_get_allocator(), __s._M_get_allocator());

      if (_M_is_local())
 if (__s._M_is_local())
   {
     if (length() && __s.length())
       {
  _CharT __tmp_data[_S_local_capacity + 1];
  traits_type::copy(__tmp_data, __s._M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(_M_local_buf, __tmp_data,
      _S_local_capacity + 1);
       }
     else if (__s.length())
       {
  traits_type::copy(_M_local_buf, __s._M_local_buf,
      _S_local_capacity + 1);
  _M_length(__s.length());
  __s._M_set_length(0);
  return;
       }
     else if (length())
       {
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  __s._M_length(length());
  _M_set_length(0);
  return;
       }
   }
 else
   {
     const size_type __tmp_capacity = __s._M_allocated_capacity;
     traits_type::copy(__s._M_local_buf, _M_local_buf,
         _S_local_capacity + 1);
     _M_data(__s._M_data());
     __s._M_data(__s._M_local_buf);
     _M_capacity(__tmp_capacity);
   }
      else
 {
   const size_type __tmp_capacity = _M_allocated_capacity;
   if (__s._M_is_local())
     {
       traits_type::copy(_M_local_buf, __s._M_local_buf,
    _S_local_capacity + 1);
       __s._M_data(_M_data());
       _M_data(_M_local_buf);
     }
   else
     {
       pointer __tmp_ptr = _M_data();
       _M_data(__s._M_data());
       __s._M_data(__tmp_ptr);
       _M_capacity(__s._M_allocated_capacity);
     }
   __s._M_capacity(__tmp_capacity);
 }

      const size_type __tmp_length = length();
      _M_length(__s.length());
      __s._M_length(__tmp_length);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::pointer
    basic_string<_CharT, _Traits, _Alloc>::
    _M_create(size_type& __capacity, size_type __old_capacity)
    {


      if (__capacity > max_size())
 std::__throw_length_error(("basic_string::_M_create"));




      if (__capacity > __old_capacity && __capacity < 2 * __old_capacity)
 {
   __capacity = 2 * __old_capacity;

   if (__capacity > max_size())
     __capacity = max_size();
 }



      return _Alloc_traits::allocate(_M_get_allocator(), __capacity + 1);
    }





  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::input_iterator_tag)
      {
 size_type __len = 0;
 size_type __capacity = size_type(_S_local_capacity);

 while (__beg != __end && __len < __capacity)
   {
     _M_data()[__len++] = *__beg;
     ++__beg;
   }

 try
   {
     while (__beg != __end)
       {
  if (__len == __capacity)
    {

      __capacity = __len + 1;
      pointer __another = _M_create(__capacity, __len);
      this->_S_copy(__another, _M_data(), __len);
      _M_dispose();
      _M_data(__another);
      _M_capacity(__capacity);
    }
  _M_data()[__len++] = *__beg;
  ++__beg;
       }
   }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__len);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::forward_iterator_tag)
      {

 if (__gnu_cxx::__is_null_pointer(__beg) && __beg != __end)
   std::__throw_logic_error(("basic_string::" "_M_construct null not valid")
                                         );

 size_type __dnew = static_cast<size_type>(std::distance(__beg, __end));

 if (__dnew > size_type(_S_local_capacity))
   {
     _M_data(_M_create(__dnew, size_type(0)));
     _M_capacity(__dnew);
   }


 try
   { this->_S_copy_chars(_M_data(), __beg, __end); }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__dnew);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_construct(size_type __n, _CharT __c)
    {
      if (__n > size_type(_S_local_capacity))
 {
   _M_data(_M_create(__n, size_type(0)));
   _M_capacity(__n);
 }

      if (__n)
 this->_S_assign(_M_data(), __n, __c);

      _M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_assign(const basic_string& __str)
    {
      if (this != &__str)
 {
   const size_type __rsize = __str.length();
   const size_type __capacity = capacity();

   if (__rsize > __capacity)
     {
       size_type __new_capacity = __rsize;
       pointer __tmp = _M_create(__new_capacity, __capacity);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__new_capacity);
     }

   if (__rsize)
     this->_S_copy(_M_data(), __str._M_data(), __rsize);

   _M_set_length(__rsize);
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    reserve(size_type __res)
    {

      if (__res < length())
 __res = length();

      const size_type __capacity = capacity();
      if (__res != __capacity)
 {
   if (__res > __capacity
       || __res > size_type(_S_local_capacity))
     {
       pointer __tmp = _M_create(__res, __capacity);
       this->_S_copy(__tmp, _M_data(), length() + 1);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__res);
     }
   else if (!_M_is_local())
     {
       this->_S_copy(_M_local_data(), _M_data(), length() + 1);
       _M_destroy(__capacity);
       _M_data(_M_local_data());
     }
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
       size_type __len2)
    {
      const size_type __how_much = length() - __pos - __len1;

      size_type __new_capacity = length() + __len2 - __len1;
      pointer __r = _M_create(__new_capacity, capacity());

      if (__pos)
 this->_S_copy(__r, _M_data(), __pos);
      if (__s && __len2)
 this->_S_copy(__r + __pos, __s, __len2);
      if (__how_much)
 this->_S_copy(__r + __pos + __len2,
        _M_data() + __pos + __len1, __how_much);

      _M_dispose();
      _M_data(__r);
      _M_capacity(__new_capacity);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_erase(size_type __pos, size_type __n)
    {
      const size_type __how_much = length() - __pos - __n;

      if (__how_much && __n)
 this->_S_move(_M_data() + __pos, _M_data() + __pos + __n, __how_much);

      _M_set_length(length() - __n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    resize(size_type __n, _CharT __c)
    {
      const size_type __size = this->size();
      if (__size < __n)
 this->append(__n - __size, __c);
      else if (__n < __size)
 this->_M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_append(const _CharT* __s, size_type __n)
    {
      const size_type __len = __n + this->size();

      if (__len <= this->capacity())
 {
   if (__n)
     this->_S_copy(this->_M_data() + this->size(), __s, __n);
 }
      else
 this->_M_mutate(this->size(), size_type(0), __s, __n);

      this->_M_set_length(__len);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InputIterator>
      basic_string<_CharT, _Traits, _Alloc>&
      basic_string<_CharT, _Traits, _Alloc>::
      _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
     _InputIterator __k1, _InputIterator __k2,
     std::__false_type)
      {
 const basic_string __s(__k1, __k2);
 const size_type __n1 = __i2 - __i1;
 return _M_replace(__i1 - begin(), __n1, __s._M_data(),
     __s.size());
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
     _CharT __c)
    {
      _M_check_length(__n1, __n2, "basic_string::_M_replace_aux");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __n2 - __n1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos1;

   const size_type __how_much = __old_size - __pos1 - __n1;
   if (__how_much && __n1 != __n2)
     this->_S_move(__p + __n2, __p + __n1, __how_much);
 }
      else
 this->_M_mutate(__pos1, __n1, 0, __n2);

      if (__n2)
 this->_S_assign(this->_M_data() + __pos1, __n2, __c);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
        const size_type __len2)
    {
      _M_check_length(__len1, __len2, "basic_string::_M_replace");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __len2 - __len1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos;

   const size_type __how_much = __old_size - __pos - __len1;
   if (_M_disjunct(__s))
     {
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2)
  this->_S_copy(__p, __s, __len2);
     }
   else
     {

       if (__len2 && __len2 <= __len1)
  this->_S_move(__p, __s, __len2);
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2 > __len1)
  {
    if (__s + __len2 <= __p + __len1)
      this->_S_move(__p, __s, __len2);
    else if (__s >= __p + __len1)
      this->_S_copy(__p, __s + __len2 - __len1, __len2);
    else
      {
        const size_type __nleft = (__p + __len1) - __s;
        this->_S_move(__p, __s, __nleft);
        this->_S_copy(__p + __nleft, __p + __len2,
        __len2 - __nleft);
      }
  }
     }
 }
      else
 this->_M_mutate(__pos, __len1, __s, __len2);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    copy(_CharT* __s, size_type __n, size_type __pos) const
    {
      _M_check(__pos, "basic_string::copy");
      __n = _M_limit(__pos, __n);
      ;
      if (__n)
 _S_copy(__s, _M_data() + __pos, __n);

      return __n;
    }
# 1156 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      ;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      const __size_type __len = _Traits::length(__lhs);
      __string_type __str;
      __str.reserve(__len + __rhs.size());
      __str.append(__lhs, __len);
      __str.append(__rhs);
      return __str;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs, const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      __string_type __str;
      const __size_type __len = __rhs.size();
      __str.reserve(__len + 1);
      __str.append(__size_type(1), __lhs);
      __str.append(__rhs);
      return __str;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();

      if (__n == 0)
 return __pos <= __size ? __pos : npos;
      if (__pos >= __size)
 return npos;

      const _CharT __elem0 = __s[0];
      const _CharT* const __data = data();
      const _CharT* __first = __data + __pos;
      const _CharT* const __last = __data + __size;
      size_type __len = __size - __pos;

      while (__len >= __n)
 {

   __first = traits_type::find(__first, __len - __n + 1, __elem0);
   if (!__first)
     return npos;



   if (traits_type::compare(__first, __s, __n) == 0)
     return __first - __data;
   __len = __last - ++__first;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(_CharT __c, size_type __pos) const noexcept
    {
      size_type __ret = npos;
      const size_type __size = this->size();
      if (__pos < __size)
 {
   const _CharT* __data = _M_data();
   const size_type __n = __size - __pos;
   const _CharT* __p = traits_type::find(__data + __pos, __n, __c);
   if (__p)
     __ret = __p - __data;
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();
      if (__n <= __size)
 {
   __pos = std::min(size_type(__size - __n), __pos);
   const _CharT* __data = _M_data();
   do
     {
       if (traits_type::compare(__data + __pos, __s, __n) == 0)
  return __pos;
     }
   while (__pos-- > 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   for (++__size; __size-- > 0; )
     if (traits_type::eq(_M_data()[__size], __c))
       return __size;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __n && __pos < this->size(); ++__pos)
 {
   const _CharT* __p = traits_type::find(__s, __n, _M_data()[__pos]);
   if (__p)
     return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size && __n)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size-- != 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::find(__s, __n, _M_data()[__pos]))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(_CharT __c, size_type __pos) const noexcept
    {
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::eq(_M_data()[__pos], __c))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::eq(_M_data()[__size], __c))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n, const basic_string& __str) const
    {
      _M_check(__pos, "basic_string::compare");
      __n = _M_limit(__pos, __n);
      const size_type __osize = __str.size();
      const size_type __len = std::min(__n, __osize);
      int __r = traits_type::compare(_M_data() + __pos, __str.data(), __len);
      if (!__r)
 __r = _S_compare(__n, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(size_type __pos1, size_type __n1, const basic_string& __str,
     size_type __pos2, size_type __n2) const
    {
      _M_check(__pos1, "basic_string::compare");
      __str._M_check(__pos2, "basic_string::compare");
      __n1 = _M_limit(__pos1, __n1);
      __n2 = __str._M_limit(__pos2, __n2);
      const size_type __len = std::min(__n1, __n2);
      int __r = traits_type::compare(_M_data() + __pos1,
         __str.data() + __pos2, __len);
      if (!__r)
 __r = _S_compare(__n1, __n2);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(const _CharT* __s) const noexcept
    {
      ;
      const size_type __size = this->size();
      const size_type __osize = traits_type::length(__s);
      const size_type __len = std::min(__size, __osize);
      int __r = traits_type::compare(_M_data(), __s, __len);
      if (!__r)
 __r = _S_compare(__size, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string <_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n1, const _CharT* __s) const
    {
      ;
      _M_check(__pos, "basic_string::compare");
      __n1 = _M_limit(__pos, __n1);
      const size_type __osize = traits_type::length(__s);
      const size_type __len = std::min(__n1, __osize);
      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
      if (!__r)
 __r = _S_compare(__n1, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string <_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n1, const _CharT* __s,
     size_type __n2) const
    {
      ;
      _M_check(__pos, "basic_string::compare");
      __n1 = _M_limit(__pos, __n1);
      const size_type __len = std::min(__n1, __n2);
      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
      if (!__r)
 __r = _S_compare(__n1, __n2);
      return __r;
    }


  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in,
        basic_string<_CharT, _Traits, _Alloc>& __str)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;
      typedef ctype<_CharT> __ctype_type;
      typedef typename __ctype_type::ctype_base __ctype_base;

      __size_type __extracted = 0;
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, false);
      if (__cerb)
 {
   try
     {

       __str.erase();
       _CharT __buf[128];
       __size_type __len = 0;
       const streamsize __w = __in.width();
       const __size_type __n = __w > 0 ? static_cast<__size_type>(__w)
                                : __str.max_size();
       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !__ct.is(__ctype_base::space,
     _Traits::to_char_type(__c)))
  {
    if (__len == sizeof(__buf) / sizeof(_CharT))
      {
        __str.append(__buf, sizeof(__buf) / sizeof(_CharT));
        __len = 0;
      }
    __buf[__len++] = _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }
       __str.append(__buf, __len);

       if (_Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       __in.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }

      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __in,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;

      __size_type __extracted = 0;
      const __size_type __n = __str.max_size();
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, true);
      if (__cerb)
 {
   try
     {
       __str.erase();
       const __int_type __idelim = _Traits::to_int_type(__delim);
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !_Traits::eq_int_type(__c, __idelim))
  {
    __str += _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }

       if (_Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       else if (_Traits::eq_int_type(__c, __idelim))
  {
    ++__extracted;
    __in.rdbuf()->sbumpc();
  }
       else
  __err |= __ios_base::failbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }
      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }
# 1616 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 3
  extern template
    basic_istream<char>&
    operator>>(basic_istream<char>&, string&);
  extern template
    basic_ostream<char>&
    operator<<(basic_ostream<char>&, const string&);
  extern template
    basic_istream<char>&
    getline(basic_istream<char>&, string&, char);
  extern template
    basic_istream<char>&
    getline(basic_istream<char>&, string&);
# 1637 "/opt/sutton/include/c++/9.0.0/bits/basic_string.tcc" 3
  extern template
    basic_istream<wchar_t>&
    operator>>(basic_istream<wchar_t>&, wstring&);
  extern template
    basic_ostream<wchar_t>&
    operator<<(basic_ostream<wchar_t>&, const wstring&);
  extern template
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>&, wstring&, wchar_t);
  extern template
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>&, wstring&);




}
# 57 "/opt/sutton/include/c++/9.0.0/string" 2 3


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

  namespace pmr {
    template<typename _Tp> class polymorphic_allocator;
    template<typename _CharT, typename _Traits = char_traits<_CharT>>
      using basic_string = std::basic_string<_CharT, _Traits,
          polymorphic_allocator<_CharT>>;
    using string = basic_string<char>;
    using u16string = basic_string<char16_t>;
    using u32string = basic_string<char32_t>;

    using wstring = basic_string<wchar_t>;

  }

}



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

  template<typename _CharT, typename _Traits, typename _Alloc,
    typename _Predicate>
    inline typename basic_string<_CharT, _Traits, _Alloc>::size_type
    erase_if(basic_string<_CharT, _Traits, _Alloc>& __cont, _Predicate __pred)
    {
      const auto __osz = __cont.size();
      __cont.erase(std::remove_if(__cont.begin(), __cont.end(), __pred),
     __cont.end());
      return __osz - __cont.size();
    }

  template<typename _CharT, typename _Traits, typename _Alloc, typename _Up>
    inline typename basic_string<_CharT, _Traits, _Alloc>::size_type
    erase(basic_string<_CharT, _Traits, _Alloc>& __cont, const _Up& __value)
    {
      const auto __osz = __cont.size();
      __cont.erase(std::remove(__cont.begin(), __cont.end(), __value),
     __cont.end());
      return __osz - __cont.size();
    }

}
# 378 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3



struct Catch_global_namespace_dummy {};
std::ostream& operator<<(std::ostream&, Catch_global_namespace_dummy);

namespace Catch {

    struct CaseSensitive { enum Choice {
        Yes,
        No
    }; };

    class NonCopyable {
        NonCopyable( NonCopyable const& ) = delete;
        NonCopyable( NonCopyable && ) = delete;
        NonCopyable& operator = ( NonCopyable const& ) = delete;
        NonCopyable& operator = ( NonCopyable && ) = delete;

    protected:
        NonCopyable();
        virtual ~NonCopyable();
    };

    struct SourceLineInfo {

        SourceLineInfo() = delete;
        SourceLineInfo( char const* _file, std::size_t _line ) noexcept
        : file( _file ),
            line( _line )
        {}

        SourceLineInfo( SourceLineInfo const& other ) = default;
        SourceLineInfo( SourceLineInfo && ) = default;
        SourceLineInfo& operator = ( SourceLineInfo const& ) = default;
        SourceLineInfo& operator = ( SourceLineInfo && ) = default;

        bool empty() const noexcept;
        bool operator == ( SourceLineInfo const& other ) const noexcept;
        bool operator < ( SourceLineInfo const& other ) const noexcept;

        char const* file;
        std::size_t line;
    };

    std::ostream& operator << ( std::ostream& os, SourceLineInfo const& info );




    using ::operator<<;





    struct StreamEndStop {
        std::string operator+() const;
    };
    template<typename T>
    T const& operator + ( T const& value, StreamEndStop ) {
        return value;
    }
}





namespace Catch {

    struct RegistrarForTagAliases {
        RegistrarForTagAliases( char const* alias, char const* tag, SourceLineInfo const& lineInfo );
    };

}
# 465 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
# 1 "/opt/sutton/include/c++/9.0.0/vector" 1 3
# 58 "/opt/sutton/include/c++/9.0.0/vector" 3
       
# 59 "/opt/sutton/include/c++/9.0.0/vector" 3







# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 1 3
# 67 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
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, (void)++__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); }
    };
# 113 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
  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;




      typedef typename iterator_traits<_InputIterator>::reference _RefType1;
      typedef typename iterator_traits<_ForwardIterator>::reference _RefType2;
      const bool __assignable = is_assignable<_RefType2, _RefType1>::value;


      return std::__uninitialized_copy<__is_trivial(_ValueType1)
           && __is_trivial(_ValueType2)
           && __assignable>::
 __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); }
    };
# 179 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline void
    uninitialized_fill(_ForwardIterator __first, _ForwardIterator __last,
         const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;




      const bool __assignable = is_copy_assignable<_ValueType>::value;


      std::__uninitialized_fill<__is_trivial(_ValueType) && __assignable>::
 __uninit_fill(__first, __last, __x);
    }


  template<bool _TrivialValueType>
    struct __uninitialized_fill_n
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static _ForwardIterator
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct(std::__addressof(*__cur), __x);
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_fill_n<true>
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static _ForwardIterator
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        { return std::fill_n(__first, __n, __x); }
    };
# 242 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline _ForwardIterator
    uninitialized_fill_n(_ForwardIterator __first, _Size __n, const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;




      const bool __assignable = is_copy_assignable<_ValueType>::value;

      return __uninitialized_fill_n<__is_trivial(_ValueType) && __assignable>::
 __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, (void)++__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>
    _ForwardIterator
    __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, (void) ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), __x);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }

  template<typename _ForwardIterator, typename _Size, typename _Tp,
    typename _Tp2>
    inline _ForwardIterator
    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
        const _Tp& __x, allocator<_Tp2>&)
    { return std::uninitialized_fill_n(__first, __n, __x); }
# 378 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
  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 _ForwardIterator
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct(std::__addressof(*__cur));
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_n_1<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   typedef typename iterator_traits<_ForwardIterator>::value_type
     _ValueType;

   return 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;

      const bool __assignable = is_copy_assignable<_ValueType>::value;

      std::__uninitialized_default_1<__is_trivial(_ValueType)
         && __assignable>::
 __uninit_default(__first, __last);
    }



  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    __uninitialized_default_n(_ForwardIterator __first, _Size __n)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      const bool __assignable = is_copy_assignable<_ValueType>::value;

      return __uninitialized_default_n_1<__is_trivial(_ValueType)
           && __assignable>::
 __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>
    _ForwardIterator
    __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, (void) ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur));
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }

  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline _ForwardIterator
    __uninitialized_default_n_a(_ForwardIterator __first, _Size __n,
    allocator<_Tp>&)
    { return std::__uninitialized_default_n(__first, __n); }

  template<bool _TrivialValueType>
    struct __uninitialized_default_novalue_1
    {
      template<typename _ForwardIterator>
 static void
 __uninit_default_novalue(_ForwardIterator __first,
     _ForwardIterator __last)
 {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct_novalue(std::__addressof(*__cur));
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_novalue_1<true>
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default_novalue(_ForwardIterator __first,
     _ForwardIterator __last)
 {
 }
    };

  template<bool _TrivialValueType>
    struct __uninitialized_default_novalue_n_1
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __uninit_default_novalue_n(_ForwardIterator __first, _Size __n)
 {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct_novalue(std::__addressof(*__cur));
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_novalue_n_1<true>
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __uninit_default_novalue_n(_ForwardIterator __first, _Size __n)
 { return std::next(__first, __n); }
    };




  template<typename _ForwardIterator>
    inline void
    __uninitialized_default_novalue(_ForwardIterator __first,
        _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      std::__uninitialized_default_novalue_1<
 is_trivially_default_constructible<_ValueType>::value>::
 __uninit_default_novalue(__first, __last);
    }



  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    __uninitialized_default_novalue_n(_ForwardIterator __first, _Size __n)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      return __uninitialized_default_novalue_n_1<
 is_trivially_default_constructible<_ValueType>::value>::
 __uninit_default_novalue_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, (void) ++__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>
    pair<_InputIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_InputIterator __first, _Size __n,
      _ForwardIterator __result, input_iterator_tag)
    {
      _ForwardIterator __cur = __result;
      try
 {
   for (; __n > 0; --__n, (void) ++__first, ++__cur)
     std::_Construct(std::__addressof(*__cur), *__first);
   return {__first, __cur};
 }
      catch(...)
 {
   std::_Destroy(__result, __cur);
   throw;
 }
    }

  template<typename _RandomAccessIterator, typename _Size,
    typename _ForwardIterator>
    inline pair<_RandomAccessIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_RandomAccessIterator __first, _Size __n,
      _ForwardIterator __result,
      random_access_iterator_tag)
    {
      auto __second_res = uninitialized_copy(__first, __first + __n, __result);
      auto __first_res = std::next(__first, __n);
      return {__first_res, __second_res};
    }
# 810 "/opt/sutton/include/c++/9.0.0/bits/stl_uninitialized.h" 3
  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)); }

  template<typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline pair<_InputIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_InputIterator __first, _Size __n,
         _ForwardIterator __result)
    {
      return
 std::__uninitialized_copy_n_pair(__first, __n, __result,
      std::__iterator_category(__first));
    }




  template <typename _ForwardIterator>
    inline void
    uninitialized_default_construct(_ForwardIterator __first,
        _ForwardIterator __last)
    {
      __uninitialized_default_novalue(__first, __last);
    }

  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    uninitialized_default_construct_n(_ForwardIterator __first, _Size __count)
    {
      return __uninitialized_default_novalue_n(__first, __count);
    }

  template <typename _ForwardIterator>
    inline void
    uninitialized_value_construct(_ForwardIterator __first,
      _ForwardIterator __last)
    {
      return __uninitialized_default(__first, __last);
    }

  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    uninitialized_value_construct_n(_ForwardIterator __first, _Size __count)
    {
      return __uninitialized_default_n(__first, __count);
    }

  template <typename _InputIterator, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_move(_InputIterator __first, _InputIterator __last,
         _ForwardIterator __result)
    {
      return std::uninitialized_copy
 (std::make_move_iterator(__first),
  std::make_move_iterator(__last), __result);
    }

  template <typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline pair<_InputIterator, _ForwardIterator>
    uninitialized_move_n(_InputIterator __first, _Size __count,
    _ForwardIterator __result)
    {
      auto __res = std::__uninitialized_copy_n_pair
 (std::make_move_iterator(__first),
  __count, __result);
      return {__res.first.base(), __res.second};
    }



  template<typename _Tp, typename _Up, typename _Allocator>
    inline void
    __relocate_object_a(_Tp* __dest, _Up* __orig, _Allocator& __alloc)
    noexcept(noexcept(std::allocator_traits<_Allocator>::construct(__alloc,
    __dest, std::move(*__orig)))
      && noexcept(std::allocator_traits<_Allocator>::destroy(
       __alloc, std::__addressof(*__orig))))
    {
      typedef std::allocator_traits<_Allocator> __traits;
      __traits::construct(__alloc, __dest, std::move(*__orig));
      __traits::destroy(__alloc, std::__addressof(*__orig));
    }


  template<typename _Tp, typename = void>
    struct __is_trivially_relocatable
    : is_trivial<_Tp> { };

  template <typename _Tp, typename _Up>
    inline __enable_if_t<std::__is_trivially_relocatable<_Tp>::value, _Tp*>
    __relocate_a_1(_Tp* __first, _Tp* __last,
     _Tp* __result, allocator<_Up>& __alloc) noexcept
    {
      ptrdiff_t __count = __last - __first;
      if (__count > 0)
 __builtin_memmove(__result, __first, __count * sizeof(_Tp));
      return __result + __count;
    }

  template <typename _InputIterator, typename _ForwardIterator,
     typename _Allocator>
    inline _ForwardIterator
    __relocate_a_1(_InputIterator __first, _InputIterator __last,
     _ForwardIterator __result, _Allocator& __alloc)
    noexcept(noexcept(std::__relocate_object_a(std::addressof(*__result),
            std::addressof(*__first),
            __alloc)))
    {
      typedef typename iterator_traits<_InputIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType2;
      static_assert(std::is_same<_ValueType, _ValueType2>::value);
      _ForwardIterator __cur = __result;
      for (; __first != __last; ++__first, (void)++__cur)
 std::__relocate_object_a(std::__addressof(*__cur),
     std::__addressof(*__first), __alloc);
      return __cur;
    }

  template <typename _InputIterator, typename _ForwardIterator,
     typename _Allocator>
    inline _ForwardIterator
    __relocate_a(_InputIterator __first, _InputIterator __last,
   _ForwardIterator __result, _Allocator& __alloc)
    noexcept(noexcept(__relocate_a_1(std::__niter_base(__first),
         std::__niter_base(__last),
         std::__niter_base(__result), __alloc)))
    {
      return __relocate_a_1(std::__niter_base(__first),
       std::__niter_base(__last),
       std::__niter_base(__result), __alloc);
    }



}
# 67 "/opt/sutton/include/c++/9.0.0/vector" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 1 3
# 74 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  template<typename _Tp, typename _Alloc>
    struct _Vector_base
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_Tp>::other _Tp_alloc_type;
      typedef typename __gnu_cxx::__alloc_traits<_Tp_alloc_type>::pointer
        pointer;

      struct _Vector_impl_data
      {
 pointer _M_start;
 pointer _M_finish;
 pointer _M_end_of_storage;

 _Vector_impl_data() noexcept
 : _M_start(), _M_finish(), _M_end_of_storage()
 { }


 _Vector_impl_data(_Vector_impl_data&& __x) noexcept
 : _M_start(__x._M_start), _M_finish(__x._M_finish),
   _M_end_of_storage(__x._M_end_of_storage)
 { __x._M_start = __x._M_finish = __x._M_end_of_storage = pointer(); }


 void
 _M_copy_data(_Vector_impl_data const& __x) noexcept
 {
   _M_start = __x._M_start;
   _M_finish = __x._M_finish;
   _M_end_of_storage = __x._M_end_of_storage;
 }

 void
 _M_swap_data(_Vector_impl_data& __x) noexcept
 {


   _Vector_impl_data __tmp;
   __tmp._M_copy_data(*this);
   _M_copy_data(__x);
   __x._M_copy_data(__tmp);
 }
      };

      struct _Vector_impl
 : public _Tp_alloc_type, public _Vector_impl_data
      {
 _Vector_impl() noexcept(is_nothrow_default_constructible<_Tp_alloc_type>::value)

 : _Tp_alloc_type()
 { }

 _Vector_impl(_Tp_alloc_type const& __a) noexcept
 : _Tp_alloc_type(__a)
 { }




 _Vector_impl(_Vector_impl&& __x) noexcept
 : _Tp_alloc_type(std::move(__x)), _Vector_impl_data(std::move(__x))
 { }

 _Vector_impl(_Tp_alloc_type&& __a) noexcept
 : _Tp_alloc_type(std::move(__a))
 { }

 _Vector_impl(_Tp_alloc_type&& __a, _Vector_impl&& __rv) noexcept
 : _Tp_alloc_type(std::move(__a)), _Vector_impl_data(std::move(__rv))
 { }
# 267 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      };

    public:
      typedef _Alloc allocator_type;

      _Tp_alloc_type&
      _M_get_Tp_allocator() noexcept
      { return this->_M_impl; }

      const _Tp_alloc_type&
      _M_get_Tp_allocator() const noexcept
      { return this->_M_impl; }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_get_Tp_allocator()); }


      _Vector_base() = default;




      _Vector_base(const allocator_type& __a) noexcept
      : _M_impl(__a) { }



      _Vector_base(size_t __n)
      : _M_impl()
      { _M_create_storage(__n); }


      _Vector_base(size_t __n, const allocator_type& __a)
      : _M_impl(__a)
      { _M_create_storage(__n); }


      _Vector_base(_Vector_base&&) = default;



      _Vector_base(_Tp_alloc_type&& __a) noexcept
      : _M_impl(std::move(__a)) { }

      _Vector_base(_Vector_base&& __x, const allocator_type& __a)
      : _M_impl(__a)
      {
 if (__x.get_allocator() == __a)
   this->_M_impl._M_swap_data(__x._M_impl);
 else
   {
     size_t __n = __x._M_impl._M_finish - __x._M_impl._M_start;
     _M_create_storage(__n);
   }
      }


      _Vector_base(const allocator_type& __a, _Vector_base&& __x)
      : _M_impl(_Tp_alloc_type(__a), std::move(__x._M_impl))
      { }


      ~_Vector_base() noexcept
      {
 _M_deallocate(_M_impl._M_start,
        _M_impl._M_end_of_storage - _M_impl._M_start);
      }

    public:
      _Vector_impl _M_impl;

      pointer
      _M_allocate(size_t __n)
      {
 typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Tr;
 return __n != 0 ? _Tr::allocate(_M_impl, __n) : pointer();
      }

      void
      _M_deallocate(pointer __p, size_t __n)
      {
 typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Tr;
 if (__p)
   _Tr::deallocate(_M_impl, __p, __n);
      }

    protected:
      void
      _M_create_storage(size_t __n)
      {
 this->_M_impl._M_start = this->_M_allocate(__n);
 this->_M_impl._M_finish = this->_M_impl._M_start;
 this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
      }
    };
# 385 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc = std::allocator<_Tp> >
    class vector : protected _Vector_base<_Tp, _Alloc>
    {
# 398 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      static_assert(is_same<typename remove_cv<_Tp>::type, _Tp>::value,
   "std::vector must have a non-const, non-volatile value_type");

      static_assert(is_same<typename _Alloc::value_type, _Tp>::value,
   "std::vector must have the same value_type as its allocator");



      typedef _Vector_base<_Tp, _Alloc> _Base;
      typedef typename _Base::_Tp_alloc_type _Tp_alloc_type;
      typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Alloc_traits;

    public:
      typedef _Tp value_type;
      typedef typename _Base::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;
      typedef __gnu_cxx::__normal_iterator<pointer, vector> iterator;
      typedef __gnu_cxx::__normal_iterator<const_pointer, vector>
      const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Alloc allocator_type;

    private:

      static constexpr bool __use_relocate =
 noexcept(std::__relocate_a(std::declval<pointer>(),
       std::declval<pointer>(),
       std::declval<pointer>(),
       std::declval<_Tp_alloc_type&>()));


    protected:
      using _Base::_M_allocate;
      using _Base::_M_deallocate;
      using _Base::_M_impl;
      using _Base::_M_get_Tp_allocator;

    public:







      vector() = default;
# 457 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      explicit
      vector(const allocator_type& __a) noexcept
      : _Base(__a) { }
# 470 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      explicit
      vector(size_type __n, const allocator_type& __a = allocator_type())
      : _Base(_S_check_init_len(__n, __a), __a)
      { _M_default_initialize(__n); }
# 483 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector(size_type __n, const value_type& __value,
      const allocator_type& __a = allocator_type())
      : _Base(_S_check_init_len(__n, __a), __a)
      { _M_fill_initialize(__n, __value); }
# 514 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector(const vector& __x)
      : _Base(__x.size(),
 _Alloc_traits::_S_select_on_copy(__x._M_get_Tp_allocator()))
      {
 this->_M_impl._M_finish =
   std::__uninitialized_copy_a(__x.begin(), __x.end(),
          this->_M_impl._M_start,
          _M_get_Tp_allocator());
      }
# 533 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector(vector&&) noexcept = default;


      vector(const vector& __x, const allocator_type& __a)
      : _Base(__x.size(), __a)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_copy_a(__x.begin(), __x.end(),
          this->_M_impl._M_start,
          _M_get_Tp_allocator());
      }

    private:
      vector(vector&& __rv, const allocator_type& __m, true_type) noexcept
      : _Base(__m, std::move(__rv))
      { }

      vector(vector&& __rv, const allocator_type& __m, false_type)
      : _Base(__m)
      {
 if (__rv.get_allocator() == __m)
   this->_M_impl._M_swap_data(__rv._M_impl);
 else if (!__rv.empty())
   {
     this->_M_create_storage(__rv.size());
     this->_M_impl._M_finish =
       std::__uninitialized_move_a(__rv.begin(), __rv.end(),
       this->_M_impl._M_start,
       _M_get_Tp_allocator());
     __rv.clear();
   }
      }

    public:

      vector(vector&& __rv, const allocator_type& __m)
      noexcept( noexcept(
 vector(std::declval<vector&&>(), std::declval<const allocator_type&>(),
        std::declval<typename _Alloc_traits::is_always_equal>())) )
      : vector(std::move(__rv), __m, typename _Alloc_traits::is_always_equal{})
      { }
# 586 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector(initializer_list<value_type> __l,
      const allocator_type& __a = allocator_type())
      : _Base(__a)
      {
 _M_range_initialize(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }
# 612 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 vector(_InputIterator __first, _InputIterator __last,
        const allocator_type& __a = allocator_type())
 : _Base(__a)
 {
   _M_range_initialize(__first, __last,
         std::__iterator_category(__first));
 }
# 639 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      ~vector() noexcept
      {
 std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
        _M_get_Tp_allocator());
 ;
      }
# 655 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector&
      operator=(const vector& __x);
# 669 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector&
      operator=(vector&& __x) noexcept(_Alloc_traits::_S_nothrow_move())
      {
 constexpr bool __move_storage =
   _Alloc_traits::_S_propagate_on_move_assign()
   || _Alloc_traits::_S_always_equal();
 _M_move_assign(std::move(__x), __bool_constant<__move_storage>());
 return *this;
      }
# 690 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      vector&
      operator=(initializer_list<value_type> __l)
      {
 this->_M_assign_aux(__l.begin(), __l.end(),
       random_access_iterator_tag());
 return *this;
      }
# 709 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      assign(size_type __n, const value_type& __val)
      { _M_fill_assign(__n, __val); }
# 726 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 void
 assign(_InputIterator __first, _InputIterator __last)
 { _M_assign_dispatch(__first, __last, __false_type()); }
# 754 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      assign(initializer_list<value_type> __l)
      {
 this->_M_assign_aux(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }



      using _Base::get_allocator;







      iterator
      begin() noexcept
      { return iterator(this->_M_impl._M_start); }






      const_iterator
      begin() const noexcept
      { return const_iterator(this->_M_impl._M_start); }






      iterator
      end() noexcept
      { return iterator(this->_M_impl._M_finish); }






      const_iterator
      end() const noexcept
      { return const_iterator(this->_M_impl._M_finish); }






      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }






      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }






      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }






      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }







      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_impl._M_start); }






      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_impl._M_finish); }






      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }






      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }




      size_type
      size() const noexcept
      { return size_type(this->_M_impl._M_finish - this->_M_impl._M_start); }


      size_type
      max_size() const noexcept
      { return _S_max_size(_M_get_Tp_allocator()); }
# 897 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      resize(size_type __new_size)
      {
 if (__new_size > size())
   _M_default_append(__new_size - size());
 else if (__new_size < size())
   _M_erase_at_end(this->_M_impl._M_start + __new_size);
      }
# 917 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      resize(size_type __new_size, const value_type& __x)
      {
 if (__new_size > size())
   _M_fill_insert(end(), __new_size - size(), __x);
 else if (__new_size < size())
   _M_erase_at_end(this->_M_impl._M_start + __new_size);
      }
# 949 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      shrink_to_fit()
      { _M_shrink_to_fit(); }






      size_type
      capacity() const noexcept
      { return size_type(this->_M_impl._M_end_of_storage
    - this->_M_impl._M_start); }





      bool
      empty() const noexcept
      { return begin() == end(); }
# 988 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      reserve(size_type __n);
# 1003 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      reference
      operator[](size_type __n) noexcept
      {
 ;
 return *(this->_M_impl._M_start + __n);
      }
# 1021 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      const_reference
      operator[](size_type __n) const noexcept
      {
 ;
 return *(this->_M_impl._M_start + __n);
      }

    protected:

      void
      _M_range_check(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("vector::_M_range_check: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
      }

    public:
# 1052 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      reference
      at(size_type __n)
      {
 _M_range_check(__n);
 return (*this)[__n];
      }
# 1070 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      const_reference
      at(size_type __n) const
      {
 _M_range_check(__n);
 return (*this)[__n];
      }





      reference
      front() noexcept
      {
 ;
 return *begin();
      }





      const_reference
      front() const noexcept
      {
 ;
 return *begin();
      }





      reference
      back() noexcept
      {
 ;
 return *(end() - 1);
      }





      const_reference
      back() const noexcept
      {
 ;
 return *(end() - 1);
      }
# 1128 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      _Tp*
      data() noexcept
      { return _M_data_ptr(this->_M_impl._M_start); }

      const _Tp*
      data() const noexcept
      { return _M_data_ptr(this->_M_impl._M_start); }
# 1147 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      push_back(const value_type& __x)
      {
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         __x);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_realloc_insert(end(), __x);
      }


      void
      push_back(value_type&& __x)
      { emplace_back(std::move(__x)); }

      template<typename... _Args>

 reference



 emplace_back(_Args&&... __args);
# 1185 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      pop_back() noexcept
      {
 ;
 --this->_M_impl._M_finish;
 _Alloc_traits::destroy(this->_M_impl, this->_M_impl._M_finish);
 ;
      }
# 1207 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename... _Args>
 iterator
 emplace(const_iterator __position, _Args&&... __args)
 { return _M_emplace_aux(__position, std::forward<_Args>(__args)...); }
# 1223 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, const value_type& __x);
# 1253 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, value_type&& __x)
      { return _M_insert_rval(__position, std::move(__x)); }
# 1270 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, initializer_list<value_type> __l)
      {
 auto __offset = __position - cbegin();
 _M_range_insert(begin() + __offset, __l.begin(), __l.end(),
   std::random_access_iterator_tag());
 return begin() + __offset;
      }
# 1295 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, size_type __n, const value_type& __x)
      {
 difference_type __offset = __position - cbegin();
 _M_fill_insert(begin() + __offset, __n, __x);
 return begin() + __offset;
      }
# 1337 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
 insert(const_iterator __position, _InputIterator __first,
        _InputIterator __last)
 {
   difference_type __offset = __position - cbegin();
   _M_insert_dispatch(begin() + __offset,
        __first, __last, __false_type());
   return begin() + __offset;
 }
# 1389 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator

      erase(const_iterator __position)
      { return _M_erase(begin() + (__position - cbegin())); }
# 1416 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      iterator

      erase(const_iterator __first, const_iterator __last)
      {
 const auto __beg = begin();
 const auto __cbeg = cbegin();
 return _M_erase(__beg + (__first - __cbeg), __beg + (__last - __cbeg));
      }
# 1440 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      void
      swap(vector& __x) noexcept
      {


                                                          ;

 this->_M_impl._M_swap_data(__x._M_impl);
 _Alloc_traits::_S_on_swap(_M_get_Tp_allocator(),
      __x._M_get_Tp_allocator());
      }







      void
      clear() noexcept
      { _M_erase_at_end(this->_M_impl._M_start); }

    protected:




      template<typename _ForwardIterator>
 pointer
 _M_allocate_and_copy(size_type __n,
        _ForwardIterator __first, _ForwardIterator __last)
 {
   pointer __result = this->_M_allocate(__n);
   try
     {
       std::__uninitialized_copy_a(__first, __last, __result,
       _M_get_Tp_allocator());
       return __result;
     }
   catch(...)
     {
       _M_deallocate(__result, __n);
       throw;
     }
 }
# 1517 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename _InputIterator>
 void
 _M_range_initialize(_InputIterator __first, _InputIterator __last,
       std::input_iterator_tag)
 {
   try {
     for (; __first != __last; ++__first)

       emplace_back(*__first);



   } catch(...) {
     clear();
     throw;
   }
 }


      template<typename _ForwardIterator>
 void
 _M_range_initialize(_ForwardIterator __first, _ForwardIterator __last,
       std::forward_iterator_tag)
 {
   const size_type __n = std::distance(__first, __last);
   this->_M_impl._M_start
     = this->_M_allocate(_S_check_init_len(__n, _M_get_Tp_allocator()));
   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
   this->_M_impl._M_finish =
     std::__uninitialized_copy_a(__first, __last,
     this->_M_impl._M_start,
     _M_get_Tp_allocator());
 }



      void
      _M_fill_initialize(size_type __n, const value_type& __value)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_fill_n_a(this->_M_impl._M_start, __n, __value,
     _M_get_Tp_allocator());
      }



      void
      _M_default_initialize(size_type __n)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_default_n_a(this->_M_impl._M_start, __n,
        _M_get_Tp_allocator());
      }
# 1579 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      template<typename _Integer>
 void
 _M_assign_dispatch(_Integer __n, _Integer __val, __true_type)
 { _M_fill_assign(__n, __val); }


      template<typename _InputIterator>
 void
 _M_assign_dispatch(_InputIterator __first, _InputIterator __last,
      __false_type)
 { _M_assign_aux(__first, __last, std::__iterator_category(__first)); }


      template<typename _InputIterator>
 void
 _M_assign_aux(_InputIterator __first, _InputIterator __last,
        std::input_iterator_tag);


      template<typename _ForwardIterator>
 void
 _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
        std::forward_iterator_tag);



      void
      _M_fill_assign(size_type __n, const value_type& __val);







      template<typename _Integer>
 void
 _M_insert_dispatch(iterator __pos, _Integer __n, _Integer __val,
      __true_type)
 { _M_fill_insert(__pos, __n, __val); }


      template<typename _InputIterator>
 void
 _M_insert_dispatch(iterator __pos, _InputIterator __first,
      _InputIterator __last, __false_type)
 {
   _M_range_insert(__pos, __first, __last,
     std::__iterator_category(__first));
 }


      template<typename _InputIterator>
 void
 _M_range_insert(iterator __pos, _InputIterator __first,
   _InputIterator __last, std::input_iterator_tag);


      template<typename _ForwardIterator>
 void
 _M_range_insert(iterator __pos, _ForwardIterator __first,
   _ForwardIterator __last, std::forward_iterator_tag);



      void
      _M_fill_insert(iterator __pos, size_type __n, const value_type& __x);



      void
      _M_default_append(size_type __n);

      bool
      _M_shrink_to_fit();
# 1666 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
      struct _Temporary_value
      {
 template<typename... _Args>
   explicit
   _Temporary_value(vector* __vec, _Args&&... __args) : _M_this(__vec)
   {
     _Alloc_traits::construct(_M_this->_M_impl, _M_ptr(),
         std::forward<_Args>(__args)...);
   }

 ~_Temporary_value()
 { _Alloc_traits::destroy(_M_this->_M_impl, _M_ptr()); }

 value_type&
 _M_val() { return *_M_ptr(); }

      private:
 _Tp*
 _M_ptr() { return reinterpret_cast<_Tp*>(&__buf); }

 vector* _M_this;
 typename aligned_storage<sizeof(_Tp), alignof(_Tp)>::type __buf;
      };



      template<typename _Arg>
 void
 _M_insert_aux(iterator __position, _Arg&& __arg);

      template<typename... _Args>
 void
 _M_realloc_insert(iterator __position, _Args&&... __args);


      iterator
      _M_insert_rval(const_iterator __position, value_type&& __v);


      template<typename... _Args>
 iterator
 _M_emplace_aux(const_iterator __position, _Args&&... __args);


      iterator
      _M_emplace_aux(const_iterator __position, value_type&& __v)
      { return _M_insert_rval(__position, std::move(__v)); }



      size_type
      _M_check_len(size_type __n, const char* __s) const
      {
 if (max_size() - size() < __n)
   __throw_length_error((__s));

 const size_type __len = size() + (std::max)(size(), __n);
 return (__len < size() || __len > max_size()) ? max_size() : __len;
      }


      static size_type
      _S_check_init_len(size_type __n, const allocator_type& __a)
      {
 if (__n > _S_max_size(_Tp_alloc_type(__a)))
   __throw_length_error(
       ("cannot create std::vector larger than max_size()"));
 return __n;
      }

      static size_type
      _S_max_size(const _Tp_alloc_type& __a) noexcept
      {



 const size_t __diffmax
   = __gnu_cxx::__numeric_traits<ptrdiff_t>::__max / sizeof(_Tp);
 const size_t __allocmax = _Alloc_traits::max_size(__a);
 return (std::min)(__diffmax, __allocmax);
      }





      void
      _M_erase_at_end(pointer __pos) noexcept
      {
 if (size_type __n = this->_M_impl._M_finish - __pos)
   {
     std::_Destroy(__pos, this->_M_impl._M_finish,
     _M_get_Tp_allocator());
     this->_M_impl._M_finish = __pos;
     ;
   }
      }

      iterator
      _M_erase(iterator __position);

      iterator
      _M_erase(iterator __first, iterator __last);


    private:



      void
      _M_move_assign(vector&& __x, true_type) noexcept
      {
 vector __tmp(get_allocator());
 this->_M_impl._M_swap_data(__x._M_impl);
 __tmp._M_impl._M_swap_data(__x._M_impl);
 std::__alloc_on_move(_M_get_Tp_allocator(), __x._M_get_Tp_allocator());
      }



      void
      _M_move_assign(vector&& __x, false_type)
      {
 if (__x._M_get_Tp_allocator() == this->_M_get_Tp_allocator())
   _M_move_assign(std::move(__x), true_type());
 else
   {


     this->assign(std::__make_move_if_noexcept_iterator(__x.begin()),
    std::__make_move_if_noexcept_iterator(__x.end()));
     __x.clear();
   }
      }


      template<typename _Up>
 _Up*
 _M_data_ptr(_Up* __ptr) const noexcept
 { return __ptr; }


      template<typename _Ptr>
 typename std::pointer_traits<_Ptr>::element_type*
 _M_data_ptr(_Ptr __ptr) const
 { return empty() ? nullptr : std::__to_address(__ptr); }
# 1828 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
    };


  template<typename _InputIterator, typename _ValT
      = typename iterator_traits<_InputIterator>::value_type,
    typename _Allocator = allocator<_ValT>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    vector(_InputIterator, _InputIterator, _Allocator = _Allocator())
      -> vector<_ValT, _Allocator>;
# 1850 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc>
    inline bool
    operator==(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return (__x.size() == __y.size()
       && std::equal(__x.begin(), __x.end(), __y.begin())); }
# 1867 "/opt/sutton/include/c++/9.0.0/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc>
    inline bool
    operator<(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return std::lexicographical_compare(__x.begin(), __x.end(),
       __y.begin(), __y.end()); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator!=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__x == __y); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator>(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return __y < __x; }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator<=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__y < __x); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator>=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__x < __y); }


  template<typename _Tp, typename _Alloc>
    inline void
    swap(vector<_Tp, _Alloc>& __x, vector<_Tp, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }



}
# 68 "/opt/sutton/include/c++/9.0.0/vector" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 1 3
# 64 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  typedef unsigned long _Bit_type;
  enum { _S_word_bit = int(8 * sizeof(_Bit_type)) };

  struct _Bit_reference
  {
    _Bit_type * _M_p;
    _Bit_type _M_mask;

    _Bit_reference(_Bit_type * __x, _Bit_type __y)
    : _M_p(__x), _M_mask(__y) { }

    _Bit_reference() noexcept : _M_p(0), _M_mask(0) { }


    _Bit_reference(const _Bit_reference&) = default;


    operator bool() const noexcept
    { return !!(*_M_p & _M_mask); }

    _Bit_reference&
    operator=(bool __x) noexcept
    {
      if (__x)
 *_M_p |= _M_mask;
      else
 *_M_p &= ~_M_mask;
      return *this;
    }

    _Bit_reference&
    operator=(const _Bit_reference& __x) noexcept
    { return *this = bool(__x); }

    bool
    operator==(const _Bit_reference& __x) const
    { return bool(*this) == bool(__x); }

    bool
    operator<(const _Bit_reference& __x) const
    { return !bool(*this) && bool(__x); }

    void
    flip() noexcept
    { *_M_p ^= _M_mask; }
  };


  inline void
  swap(_Bit_reference __x, _Bit_reference __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }

  inline void
  swap(_Bit_reference __x, bool& __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }

  inline void
  swap(bool& __x, _Bit_reference __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }


  struct _Bit_iterator_base
  : public std::iterator<std::random_access_iterator_tag, bool>
  {
    _Bit_type * _M_p;
    unsigned int _M_offset;

    _Bit_iterator_base(_Bit_type * __x, unsigned int __y)
    : _M_p(__x), _M_offset(__y) { }

    void
    _M_bump_up()
    {
      if (_M_offset++ == int(_S_word_bit) - 1)
 {
   _M_offset = 0;
   ++_M_p;
 }
    }

    void
    _M_bump_down()
    {
      if (_M_offset-- == 0)
 {
   _M_offset = int(_S_word_bit) - 1;
   --_M_p;
 }
    }

    void
    _M_incr(ptrdiff_t __i)
    {
      difference_type __n = __i + _M_offset;
      _M_p += __n / int(_S_word_bit);
      __n = __n % int(_S_word_bit);
      if (__n < 0)
 {
   __n += int(_S_word_bit);
   --_M_p;
 }
      _M_offset = static_cast<unsigned int>(__n);
    }

    bool
    operator==(const _Bit_iterator_base& __i) const
    { return _M_p == __i._M_p && _M_offset == __i._M_offset; }

    bool
    operator<(const _Bit_iterator_base& __i) const
    {
      return _M_p < __i._M_p
     || (_M_p == __i._M_p && _M_offset < __i._M_offset);
    }

    bool
    operator!=(const _Bit_iterator_base& __i) const
    { return !(*this == __i); }

    bool
    operator>(const _Bit_iterator_base& __i) const
    { return __i < *this; }

    bool
    operator<=(const _Bit_iterator_base& __i) const
    { return !(__i < *this); }

    bool
    operator>=(const _Bit_iterator_base& __i) const
    { return !(*this < __i); }
  };

  inline ptrdiff_t
  operator-(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
  {
    return (int(_S_word_bit) * (__x._M_p - __y._M_p)
     + __x._M_offset - __y._M_offset);
  }

  struct _Bit_iterator : public _Bit_iterator_base
  {
    typedef _Bit_reference reference;
    typedef _Bit_reference* pointer;
    typedef _Bit_iterator iterator;

    _Bit_iterator() : _Bit_iterator_base(0, 0) { }

    _Bit_iterator(_Bit_type * __x, unsigned int __y)
    : _Bit_iterator_base(__x, __y) { }

    iterator
    _M_const_cast() const
    { return *this; }

    reference
    operator*() const
    { return reference(_M_p, 1UL << _M_offset); }

    iterator&
    operator++()
    {
      _M_bump_up();
      return *this;
    }

    iterator
    operator++(int)
    {
      iterator __tmp = *this;
      _M_bump_up();
      return __tmp;
    }

    iterator&
    operator--()
    {
      _M_bump_down();
      return *this;
    }

    iterator
    operator--(int)
    {
      iterator __tmp = *this;
      _M_bump_down();
      return __tmp;
    }

    iterator&
    operator+=(difference_type __i)
    {
      _M_incr(__i);
      return *this;
    }

    iterator&
    operator-=(difference_type __i)
    {
      *this += -__i;
      return *this;
    }

    iterator
    operator+(difference_type __i) const
    {
      iterator __tmp = *this;
      return __tmp += __i;
    }

    iterator
    operator-(difference_type __i) const
    {
      iterator __tmp = *this;
      return __tmp -= __i;
    }

    reference
    operator[](difference_type __i) const
    { return *(*this + __i); }
  };

  inline _Bit_iterator
  operator+(ptrdiff_t __n, const _Bit_iterator& __x)
  { return __x + __n; }

  struct _Bit_const_iterator : public _Bit_iterator_base
  {
    typedef bool reference;
    typedef bool const_reference;
    typedef const bool* pointer;
    typedef _Bit_const_iterator const_iterator;

    _Bit_const_iterator() : _Bit_iterator_base(0, 0) { }

    _Bit_const_iterator(_Bit_type * __x, unsigned int __y)
    : _Bit_iterator_base(__x, __y) { }

    _Bit_const_iterator(const _Bit_iterator& __x)
    : _Bit_iterator_base(__x._M_p, __x._M_offset) { }

    _Bit_iterator
    _M_const_cast() const
    { return _Bit_iterator(_M_p, _M_offset); }

    const_reference
    operator*() const
    { return _Bit_reference(_M_p, 1UL << _M_offset); }

    const_iterator&
    operator++()
    {
      _M_bump_up();
      return *this;
    }

    const_iterator
    operator++(int)
    {
      const_iterator __tmp = *this;
      _M_bump_up();
      return __tmp;
    }

    const_iterator&
    operator--()
    {
      _M_bump_down();
      return *this;
    }

    const_iterator
    operator--(int)
    {
      const_iterator __tmp = *this;
      _M_bump_down();
      return __tmp;
    }

    const_iterator&
    operator+=(difference_type __i)
    {
      _M_incr(__i);
      return *this;
    }

    const_iterator&
    operator-=(difference_type __i)
    {
      *this += -__i;
      return *this;
    }

    const_iterator
    operator+(difference_type __i) const
    {
      const_iterator __tmp = *this;
      return __tmp += __i;
    }

    const_iterator
    operator-(difference_type __i) const
    {
      const_iterator __tmp = *this;
      return __tmp -= __i;
    }

    const_reference
    operator[](difference_type __i) const
    { return *(*this + __i); }
  };

  inline _Bit_const_iterator
  operator+(ptrdiff_t __n, const _Bit_const_iterator& __x)
  { return __x + __n; }

  inline void
  __fill_bvector(_Bit_type * __v,
   unsigned int __first, unsigned int __last, bool __x)
  {
    const _Bit_type __fmask = ~0ul << __first;
    const _Bit_type __lmask = ~0ul >> (_S_word_bit - __last);
    const _Bit_type __mask = __fmask & __lmask;

    if (__x)
      *__v |= __mask;
    else
      *__v &= ~__mask;
  }

  inline void
  fill(_Bit_iterator __first, _Bit_iterator __last, const bool& __x)
  {
    if (__first._M_p != __last._M_p)
      {
 _Bit_type* __first_p = __first._M_p;
 if (__first._M_offset != 0)
   __fill_bvector(__first_p++, __first._M_offset, _S_word_bit, __x);

 __builtin_memset(__first_p, __x ? ~0 : 0,
    (__last._M_p - __first_p) * sizeof(_Bit_type));

 if (__last._M_offset != 0)
   __fill_bvector(__last._M_p, 0, __last._M_offset, __x);
      }
    else if (__first._M_offset != __last._M_offset)
      __fill_bvector(__first._M_p, __first._M_offset, __last._M_offset, __x);
  }

  template<typename _Alloc>
    struct _Bvector_base
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
        rebind<_Bit_type>::other _Bit_alloc_type;
      typedef typename __gnu_cxx::__alloc_traits<_Bit_alloc_type>
 _Bit_alloc_traits;
      typedef typename _Bit_alloc_traits::pointer _Bit_pointer;

      struct _Bvector_impl_data
      {
 _Bit_iterator _M_start;
 _Bit_iterator _M_finish;
 _Bit_pointer _M_end_of_storage;

 _Bvector_impl_data() noexcept
 : _M_start(), _M_finish(), _M_end_of_storage()
 { }


 _Bvector_impl_data(_Bvector_impl_data&& __x) noexcept
 : _M_start(__x._M_start), _M_finish(__x._M_finish)
 , _M_end_of_storage(__x._M_end_of_storage)
 { __x._M_reset(); }

 void
 _M_move_data(_Bvector_impl_data&& __x) noexcept
 {
   this->_M_start = __x._M_start;
   this->_M_finish = __x._M_finish;
   this->_M_end_of_storage = __x._M_end_of_storage;
   __x._M_reset();
 }


 void
 _M_reset() noexcept
 {
   _M_start = _M_finish = _Bit_iterator();
   _M_end_of_storage = _Bit_pointer();
 }
      };

      struct _Bvector_impl
 : public _Bit_alloc_type, public _Bvector_impl_data
 {
 public:
   _Bvector_impl() noexcept(is_nothrow_default_constructible<_Bit_alloc_type>::value)

   : _Bit_alloc_type()
   { }

   _Bvector_impl(const _Bit_alloc_type& __a) noexcept
   : _Bit_alloc_type(__a)
   { }


 _Bvector_impl(_Bvector_impl&&) = default;


 _Bit_type*
 _M_end_addr() const noexcept
 {
   if (this->_M_end_of_storage)
     return std::__addressof(this->_M_end_of_storage[-1]) + 1;
   return 0;
 }
      };

    public:
      typedef _Alloc allocator_type;

      _Bit_alloc_type&
      _M_get_Bit_allocator() noexcept
      { return this->_M_impl; }

      const _Bit_alloc_type&
      _M_get_Bit_allocator() const noexcept
      { return this->_M_impl; }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_get_Bit_allocator()); }


      _Bvector_base() = default;




      _Bvector_base(const allocator_type& __a)
      : _M_impl(__a) { }


      _Bvector_base(_Bvector_base&&) = default;


      ~_Bvector_base()
      { this->_M_deallocate(); }

    protected:
      _Bvector_impl _M_impl;

      _Bit_pointer
      _M_allocate(size_t __n)
      { return _Bit_alloc_traits::allocate(_M_impl, _S_nword(__n)); }

      void
      _M_deallocate()
      {
 if (_M_impl._M_start._M_p)
   {
     const size_t __n = _M_impl._M_end_addr() - _M_impl._M_start._M_p;
     _Bit_alloc_traits::deallocate(_M_impl,
       _M_impl._M_end_of_storage - __n,
       __n);
     _M_impl._M_reset();
   }
      }


      void
      _M_move_data(_Bvector_base&& __x) noexcept
      { _M_impl._M_move_data(std::move(__x._M_impl)); }


      static size_t
      _S_nword(size_t __n)
      { return (__n + int(_S_word_bit) - 1) / int(_S_word_bit); }
    };



}




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


# 591 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
  template<typename _Alloc>
    class vector<bool, _Alloc> : protected _Bvector_base<_Alloc>
    {
      typedef _Bvector_base<_Alloc> _Base;
      typedef typename _Base::_Bit_pointer _Bit_pointer;
      typedef typename _Base::_Bit_alloc_traits _Bit_alloc_traits;


      friend struct std::hash<vector>;


    public:
      typedef bool value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Bit_reference reference;
      typedef bool const_reference;
      typedef _Bit_reference* pointer;
      typedef const bool* const_pointer;
      typedef _Bit_iterator iterator;
      typedef _Bit_const_iterator const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef _Alloc allocator_type;

      allocator_type
      get_allocator() const
      { return _Base::get_allocator(); }

    protected:
      using _Base::_M_allocate;
      using _Base::_M_deallocate;
      using _Base::_S_nword;
      using _Base::_M_get_Bit_allocator;

    public:

      vector() = default;




      explicit
      vector(const allocator_type& __a)
      : _Base(__a) { }


      explicit
      vector(size_type __n, const allocator_type& __a = allocator_type())
      : vector(__n, false, __a)
      { }

      vector(size_type __n, const bool& __value,
      const allocator_type& __a = allocator_type())





      : _Base(__a)
      {
 _M_initialize(__n);
 _M_initialize_value(__value);
      }

      vector(const vector& __x)
      : _Base(_Bit_alloc_traits::_S_select_on_copy(__x._M_get_Bit_allocator()))
      {
 _M_initialize(__x.size());
 _M_copy_aligned(__x.begin(), __x.end(), this->_M_impl._M_start);
      }


      vector(vector&&) = default;

      vector(vector&& __x, const allocator_type& __a)
      noexcept(_Bit_alloc_traits::_S_always_equal())
      : _Base(__a)
      {
 if (__x.get_allocator() == __a)
   this->_M_move_data(std::move(__x));
 else
   {
     _M_initialize(__x.size());
     _M_copy_aligned(__x.begin(), __x.end(), begin());
     __x.clear();
   }
      }

      vector(const vector& __x, const allocator_type& __a)
      : _Base(__a)
      {
 _M_initialize(__x.size());
 _M_copy_aligned(__x.begin(), __x.end(), this->_M_impl._M_start);
      }

      vector(initializer_list<bool> __l,
      const allocator_type& __a = allocator_type())
      : _Base(__a)
      {
 _M_initialize_range(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }



      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 vector(_InputIterator __first, _InputIterator __last,
        const allocator_type& __a = allocator_type())
 : _Base(__a)
 { _M_initialize_dispatch(__first, __last, __false_type()); }
# 714 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
      ~vector() noexcept { }

      vector&
      operator=(const vector& __x)
      {
 if (&__x == this)
   return *this;

 if (_Bit_alloc_traits::_S_propagate_on_copy_assign())
   {
     if (this->_M_get_Bit_allocator() != __x._M_get_Bit_allocator())
       {
  this->_M_deallocate();
  std::__alloc_on_copy(_M_get_Bit_allocator(),
         __x._M_get_Bit_allocator());
  _M_initialize(__x.size());
       }
     else
       std::__alloc_on_copy(_M_get_Bit_allocator(),
       __x._M_get_Bit_allocator());
   }

 if (__x.size() > capacity())
   {
     this->_M_deallocate();
     _M_initialize(__x.size());
   }
 this->_M_impl._M_finish = _M_copy_aligned(__x.begin(), __x.end(),
        begin());
 return *this;
      }


      vector&
      operator=(vector&& __x) noexcept(_Bit_alloc_traits::_S_nothrow_move())
      {
 if (_Bit_alloc_traits::_S_propagate_on_move_assign()
     || this->_M_get_Bit_allocator() == __x._M_get_Bit_allocator())
   {
     this->_M_deallocate();
     this->_M_move_data(std::move(__x));
     std::__alloc_on_move(_M_get_Bit_allocator(),
     __x._M_get_Bit_allocator());
   }
 else
   {
     if (__x.size() > capacity())
       {
  this->_M_deallocate();
  _M_initialize(__x.size());
       }
     this->_M_impl._M_finish = _M_copy_aligned(__x.begin(), __x.end(),
            begin());
     __x.clear();
   }
 return *this;
      }

      vector&
      operator=(initializer_list<bool> __l)
      {
 this->assign (__l.begin(), __l.end());
 return *this;
      }






      void
      assign(size_type __n, const bool& __x)
      { _M_fill_assign(__n, __x); }


      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 void
 assign(_InputIterator __first, _InputIterator __last)
 { _M_assign_aux(__first, __last, std::__iterator_category(__first)); }
# 805 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
      void
      assign(initializer_list<bool> __l)
      { _M_assign_aux(__l.begin(), __l.end(), random_access_iterator_tag()); }


      iterator
      begin() noexcept
      { return iterator(this->_M_impl._M_start._M_p, 0); }

      const_iterator
      begin() const noexcept
      { return const_iterator(this->_M_impl._M_start._M_p, 0); }

      iterator
      end() noexcept
      { return this->_M_impl._M_finish; }

      const_iterator
      end() const noexcept
      { return this->_M_impl._M_finish; }

      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }

      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }

      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }

      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }


      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_impl._M_start._M_p, 0); }

      const_iterator
      cend() const noexcept
      { return this->_M_impl._M_finish; }

      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }

      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }


      size_type
      size() const noexcept
      { return size_type(end() - begin()); }

      size_type
      max_size() const noexcept
      {
 const size_type __isize =
   __gnu_cxx::__numeric_traits<difference_type>::__max
   - int(_S_word_bit) + 1;
 const size_type __asize
   = _Bit_alloc_traits::max_size(_M_get_Bit_allocator());
 return (__asize <= __isize / int(_S_word_bit)
  ? __asize * int(_S_word_bit) : __isize);
      }

      size_type
      capacity() const noexcept
      { return size_type(const_iterator(this->_M_impl._M_end_addr(), 0)
    - begin()); }

      bool
      empty() const noexcept
      { return begin() == end(); }

      reference
      operator[](size_type __n)
      {
 return *iterator(this->_M_impl._M_start._M_p
    + __n / int(_S_word_bit), __n % int(_S_word_bit));
      }

      const_reference
      operator[](size_type __n) const
      {
 return *const_iterator(this->_M_impl._M_start._M_p
        + __n / int(_S_word_bit), __n % int(_S_word_bit));
      }

    protected:
      void
      _M_range_check(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("vector<bool>::_M_range_check: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
      }

    public:
      reference
      at(size_type __n)
      { _M_range_check(__n); return (*this)[__n]; }

      const_reference
      at(size_type __n) const
      { _M_range_check(__n); return (*this)[__n]; }

      void
      reserve(size_type __n)
      {
 if (__n > max_size())
   __throw_length_error(("vector::reserve"));
 if (capacity() < __n)
   _M_reallocate(__n);
      }

      reference
      front()
      { return *begin(); }

      const_reference
      front() const
      { return *begin(); }

      reference
      back()
      { return *(end() - 1); }

      const_reference
      back() const
      { return *(end() - 1); }






      void
      data() noexcept { }

      void
      push_back(bool __x)
      {
 if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr())
   *this->_M_impl._M_finish++ = __x;
 else
   _M_insert_aux(end(), __x);
      }

      void
      swap(vector& __x) noexcept
      {
 std::swap(this->_M_impl._M_start, __x._M_impl._M_start);
 std::swap(this->_M_impl._M_finish, __x._M_impl._M_finish);
 std::swap(this->_M_impl._M_end_of_storage,
    __x._M_impl._M_end_of_storage);
 _Bit_alloc_traits::_S_on_swap(_M_get_Bit_allocator(),
          __x._M_get_Bit_allocator());
      }


      static void
      swap(reference __x, reference __y) noexcept
      {
 bool __tmp = __x;
 __x = __y;
 __y = __tmp;
      }

      iterator

      insert(const_iterator __position, const bool& __x = bool())



      {
 const difference_type __n = __position - begin();
 if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr()
     && __position == end())
   *this->_M_impl._M_finish++ = __x;
 else
   _M_insert_aux(__position._M_const_cast(), __x);
 return begin() + __n;
      }


      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
 insert(const_iterator __position,
        _InputIterator __first, _InputIterator __last)
 {
   difference_type __offset = __position - cbegin();
   _M_insert_dispatch(__position._M_const_cast(),
        __first, __last, __false_type());
   return begin() + __offset;
 }
# 1021 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
      iterator
      insert(const_iterator __position, size_type __n, const bool& __x)
      {
 difference_type __offset = __position - cbegin();
 _M_fill_insert(__position._M_const_cast(), __n, __x);
 return begin() + __offset;
      }







      iterator
      insert(const_iterator __p, initializer_list<bool> __l)
      { return this->insert(__p, __l.begin(), __l.end()); }


      void
      pop_back()
      { --this->_M_impl._M_finish; }

      iterator

      erase(const_iterator __position)



      { return _M_erase(__position._M_const_cast()); }

      iterator

      erase(const_iterator __first, const_iterator __last)



      { return _M_erase(__first._M_const_cast(), __last._M_const_cast()); }

      void
      resize(size_type __new_size, bool __x = bool())
      {
 if (__new_size < size())
   _M_erase_at_end(begin() + difference_type(__new_size));
 else
   insert(end(), __new_size - size(), __x);
      }


      void
      shrink_to_fit()
      { _M_shrink_to_fit(); }


      void
      flip() noexcept
      {
 _Bit_type * const __end = this->_M_impl._M_end_addr();
 for (_Bit_type * __p = this->_M_impl._M_start._M_p; __p != __end; ++__p)
   *__p = ~*__p;
      }

      void
      clear() noexcept
      { _M_erase_at_end(begin()); }


      template<typename... _Args>

 reference



 emplace_back(_Args&&... __args)
 {
   push_back(bool(__args...));

   return back();

 }

      template<typename... _Args>
 iterator
 emplace(const_iterator __pos, _Args&&... __args)
 { return insert(__pos, bool(__args...)); }


    protected:

      iterator
      _M_copy_aligned(const_iterator __first, const_iterator __last,
        iterator __result)
      {
 _Bit_type* __q = std::copy(__first._M_p, __last._M_p, __result._M_p);
 return std::copy(const_iterator(__last._M_p, 0), __last,
    iterator(__q, 0));
      }

      void
      _M_initialize(size_type __n)
      {
 if (__n)
   {
     _Bit_pointer __q = this->_M_allocate(__n);
     this->_M_impl._M_end_of_storage = __q + _S_nword(__n);
     this->_M_impl._M_start = iterator(std::__addressof(*__q), 0);
   }
 else
   {
     this->_M_impl._M_end_of_storage = _Bit_pointer();
     this->_M_impl._M_start = iterator(0, 0);
   }
 this->_M_impl._M_finish = this->_M_impl._M_start + difference_type(__n);

      }

      void
      _M_initialize_value(bool __x)
      {
 if (_Bit_type* __p = this->_M_impl._M_start._M_p)
   __builtin_memset(__p, __x ? ~0 : 0,
      (this->_M_impl._M_end_addr() - __p)
      * sizeof(_Bit_type));
      }

      void
      _M_reallocate(size_type __n);


      bool
      _M_shrink_to_fit();






      template<typename _Integer>
 void
 _M_initialize_dispatch(_Integer __n, _Integer __x, __true_type)
 {
   _M_initialize(static_cast<size_type>(__n));
   _M_initialize_value(__x);
 }

      template<typename _InputIterator>
 void
 _M_initialize_dispatch(_InputIterator __first, _InputIterator __last,
          __false_type)
 { _M_initialize_range(__first, __last,
         std::__iterator_category(__first)); }

      template<typename _InputIterator>
 void
 _M_initialize_range(_InputIterator __first, _InputIterator __last,
       std::input_iterator_tag)
 {
   for (; __first != __last; ++__first)
     push_back(*__first);
 }

      template<typename _ForwardIterator>
 void
 _M_initialize_range(_ForwardIterator __first, _ForwardIterator __last,
       std::forward_iterator_tag)
 {
   const size_type __n = std::distance(__first, __last);
   _M_initialize(__n);
   std::copy(__first, __last, this->_M_impl._M_start);
 }
# 1207 "/opt/sutton/include/c++/9.0.0/bits/stl_bvector.h" 3
      void
      _M_fill_assign(size_t __n, bool __x)
      {
 if (__n > size())
   {
     _M_initialize_value(__x);
     insert(end(), __n - size(), __x);
   }
 else
   {
     _M_erase_at_end(begin() + __n);
     _M_initialize_value(__x);
   }
      }

      template<typename _InputIterator>
 void
 _M_assign_aux(_InputIterator __first, _InputIterator __last,
        std::input_iterator_tag)
 {
   iterator __cur = begin();
   for (; __first != __last && __cur != end(); ++__cur, (void)++__first)
     *__cur = *__first;
   if (__first == __last)
     _M_erase_at_end(__cur);
   else
     insert(end(), __first, __last);
 }

      template<typename _ForwardIterator>
 void
 _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
        std::forward_iterator_tag)
 {
   const size_type __len = std::distance(__first, __last);
   if (__len < size())
     _M_erase_at_end(std::copy(__first, __last, begin()));
   else
     {
       _ForwardIterator __mid = __first;
       std::advance(__mid, size());
       std::copy(__first, __mid, begin());
       insert(end(), __mid, __last);
     }
 }





      template<typename _Integer>
 void
 _M_insert_dispatch(iterator __pos, _Integer __n, _Integer __x,
      __true_type)
 { _M_fill_insert(__pos, __n, __x); }

      template<typename _InputIterator>
 void
 _M_insert_dispatch(iterator __pos,
      _InputIterator __first, _InputIterator __last,
      __false_type)
 { _M_insert_range(__pos, __first, __last,
     std::__iterator_category(__first)); }

      void
      _M_fill_insert(iterator __position, size_type __n, bool __x);

      template<typename _InputIterator>
 void
 _M_insert_range(iterator __pos, _InputIterator __first,
   _InputIterator __last, std::input_iterator_tag)
 {
   for (; __first != __last; ++__first)
     {
       __pos = insert(__pos, *__first);
       ++__pos;
     }
 }

      template<typename _ForwardIterator>
 void
 _M_insert_range(iterator __position, _ForwardIterator __first,
   _ForwardIterator __last, std::forward_iterator_tag);

      void
      _M_insert_aux(iterator __position, bool __x);

      size_type
      _M_check_len(size_type __n, const char* __s) const
      {
 if (max_size() - size() < __n)
   __throw_length_error((__s));

 const size_type __len = size() + std::max(size(), __n);
 return (__len < size() || __len > max_size()) ? max_size() : __len;
      }

      void
      _M_erase_at_end(iterator __pos)
      { this->_M_impl._M_finish = __pos; }

      iterator
      _M_erase(iterator __pos);

      iterator
      _M_erase(iterator __first, iterator __last);
  };



}



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




  template<typename _Alloc>
    struct hash<std::vector<bool, _Alloc>>
    : public __hash_base<size_t, std::vector<bool, _Alloc>>
    {
      size_t
      operator()(const std::vector<bool, _Alloc>&) const noexcept;
    };


}
# 69 "/opt/sutton/include/c++/9.0.0/vector" 2 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/vector.tcc" 1 3
# 59 "/opt/sutton/include/c++/9.0.0/bits/vector.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    reserve(size_type __n)
    {
      if (__n > this->max_size())
 __throw_length_error(("vector::reserve"));
      if (this->capacity() < __n)
 {
   const size_type __old_size = size();
   pointer __tmp;

   if constexpr (__use_relocate)
     {
       __tmp = this->_M_allocate(__n);
       std::__relocate_a(this->_M_impl._M_start,
    this->_M_impl._M_finish,
    __tmp, _M_get_Tp_allocator());
     }
   else

     {
       __tmp = _M_allocate_and_copy(__n,
  std::__make_move_if_noexcept_iterator(this->_M_impl._M_start),
  std::__make_move_if_noexcept_iterator(this->_M_impl._M_finish));
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     }
   ;
   _M_deallocate(this->_M_impl._M_start,
   this->_M_impl._M_end_of_storage
   - this->_M_impl._M_start);
   this->_M_impl._M_start = __tmp;
   this->_M_impl._M_finish = __tmp + __old_size;
   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
 }
    }


  template<typename _Tp, typename _Alloc>
    template<typename... _Args>

      typename vector<_Tp, _Alloc>::reference



      vector<_Tp, _Alloc>::
      emplace_back(_Args&&... __args)
      {
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         std::forward<_Args>(__args)...);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_realloc_insert(end(), std::forward<_Args>(__args)...);

 return back();

      }


  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::

    insert(const_iterator __position, const value_type& __x)



    {
      const size_type __n = __position - begin();
      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
 if (__position == end())
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         __x);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   {

     const auto __pos = begin() + (__position - cbegin());


     _Temporary_value __x_copy(this, __x);
     _M_insert_aux(__pos, std::move(__x_copy._M_val()));



   }
      else

 _M_realloc_insert(begin() + (__position - cbegin()), __x);




      return iterator(this->_M_impl._M_start + __n);
    }

  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::
    _M_erase(iterator __position)
    {
      if (__position + 1 != end())
 std::move(__position + 1, end(), __position);
      --this->_M_impl._M_finish;
      _Alloc_traits::destroy(this->_M_impl, this->_M_impl._M_finish);
      ;
      return __position;
    }

  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::
    _M_erase(iterator __first, iterator __last)
    {
      if (__first != __last)
 {
   if (__last != end())
     std::move(__last, end(), __first);
   _M_erase_at_end(__first.base() + (end() - __last));
 }
      return __first;
    }

  template<typename _Tp, typename _Alloc>
    vector<_Tp, _Alloc>&
    vector<_Tp, _Alloc>::
    operator=(const vector<_Tp, _Alloc>& __x)
    {
      if (&__x != this)
 {
   ;

   if (_Alloc_traits::_S_propagate_on_copy_assign())
     {
       if (!_Alloc_traits::_S_always_equal()
           && _M_get_Tp_allocator() != __x._M_get_Tp_allocator())
         {

    this->clear();
    _M_deallocate(this->_M_impl._M_start,
    this->_M_impl._M_end_of_storage
    - this->_M_impl._M_start);
    this->_M_impl._M_start = nullptr;
    this->_M_impl._M_finish = nullptr;
    this->_M_impl._M_end_of_storage = nullptr;
  }
       std::__alloc_on_copy(_M_get_Tp_allocator(),
       __x._M_get_Tp_allocator());
     }

   const size_type __xlen = __x.size();
   if (__xlen > capacity())
     {
       pointer __tmp = _M_allocate_and_copy(__xlen, __x.begin(),
         __x.end());
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __tmp;
       this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __xlen;
     }
   else if (size() >= __xlen)
     {
       std::_Destroy(std::copy(__x.begin(), __x.end(), begin()),
       end(), _M_get_Tp_allocator());
     }
   else
     {
       std::copy(__x._M_impl._M_start, __x._M_impl._M_start + size(),
   this->_M_impl._M_start);
       std::__uninitialized_copy_a(__x._M_impl._M_start + size(),
       __x._M_impl._M_finish,
       this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     }
   this->_M_impl._M_finish = this->_M_impl._M_start + __xlen;
 }
      return *this;
    }

  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_fill_assign(size_t __n, const value_type& __val)
    {
      if (__n > capacity())
 {
   vector __tmp(__n, __val, _M_get_Tp_allocator());
   __tmp._M_impl._M_swap_data(this->_M_impl);
 }
      else if (__n > size())
 {
   std::fill(begin(), end(), __val);
   const size_type __add = __n - size();
   ;
   this->_M_impl._M_finish =
     std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
       __add, __val, _M_get_Tp_allocator());
   ;
 }
      else
        _M_erase_at_end(std::fill_n(this->_M_impl._M_start, __n, __val));
    }

  template<typename _Tp, typename _Alloc>
    template<typename _InputIterator>
      void
      vector<_Tp, _Alloc>::
      _M_assign_aux(_InputIterator __first, _InputIterator __last,
      std::input_iterator_tag)
      {
 pointer __cur(this->_M_impl._M_start);
 for (; __first != __last && __cur != this->_M_impl._M_finish;
      ++__cur, (void)++__first)
   *__cur = *__first;
 if (__first == __last)
   _M_erase_at_end(__cur);
 else
   _M_range_insert(end(), __first, __last,
     std::__iterator_category(__first));
      }

  template<typename _Tp, typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<_Tp, _Alloc>::
      _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
      std::forward_iterator_tag)
      {
 const size_type __len = std::distance(__first, __last);

 if (__len > capacity())
   {
     _S_check_init_len(__len, _M_get_Tp_allocator());
     pointer __tmp(_M_allocate_and_copy(__len, __first, __last));
     std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
     _M_get_Tp_allocator());
     ;
     _M_deallocate(this->_M_impl._M_start,
     this->_M_impl._M_end_of_storage
     - this->_M_impl._M_start);
     this->_M_impl._M_start = __tmp;
     this->_M_impl._M_finish = this->_M_impl._M_start + __len;
     this->_M_impl._M_end_of_storage = this->_M_impl._M_finish;
   }
 else if (size() >= __len)
   _M_erase_at_end(std::copy(__first, __last, this->_M_impl._M_start));
 else
   {
     _ForwardIterator __mid = __first;
     std::advance(__mid, size());
     std::copy(__first, __mid, this->_M_impl._M_start);
     const size_type __attribute__((__unused__)) __n = __len - size();
     ;
     this->_M_impl._M_finish =
       std::__uninitialized_copy_a(__mid, __last,
       this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     ;
   }
      }


  template<typename _Tp, typename _Alloc>
    auto
    vector<_Tp, _Alloc>::
    _M_insert_rval(const_iterator __position, value_type&& __v) -> iterator
    {
      const auto __n = __position - cbegin();
      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
 if (__position == cend())
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         std::move(__v));
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_insert_aux(begin() + __n, std::move(__v));
      else
 _M_realloc_insert(begin() + __n, std::move(__v));

      return iterator(this->_M_impl._M_start + __n);
    }

  template<typename _Tp, typename _Alloc>
    template<typename... _Args>
      auto
      vector<_Tp, _Alloc>::
      _M_emplace_aux(const_iterator __position, _Args&&... __args)
      -> iterator
      {
 const auto __n = __position - cbegin();
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   if (__position == cend())
     {
       ;
       _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
           std::forward<_Args>(__args)...);
       ++this->_M_impl._M_finish;
       ;
     }
   else
     {



       _Temporary_value __tmp(this, std::forward<_Args>(__args)...);
       _M_insert_aux(begin() + __n, std::move(__tmp._M_val()));
     }
 else
   _M_realloc_insert(begin() + __n, std::forward<_Args>(__args)...);

 return iterator(this->_M_impl._M_start + __n);
      }

  template<typename _Tp, typename _Alloc>
    template<typename _Arg>
      void
      vector<_Tp, _Alloc>::
      _M_insert_aux(iterator __position, _Arg&& __arg)






    {
      ;
      _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
          std::move(*(this->_M_impl._M_finish - 1)));
      ++this->_M_impl._M_finish;
      ;



      std::move_backward(__position.base(), this->_M_impl._M_finish - 2, this->_M_impl._M_finish - 1)

                                     ;



      *__position = std::forward<_Arg>(__arg);

    }


  template<typename _Tp, typename _Alloc>
    template<typename... _Args>
      void
      vector<_Tp, _Alloc>::
      _M_realloc_insert(iterator __position, _Args&&... __args)






    {
      const size_type __len =
 _M_check_len(size_type(1), "vector::_M_realloc_insert");
      pointer __old_start = this->_M_impl._M_start;
      pointer __old_finish = this->_M_impl._M_finish;
      const size_type __elems_before = __position - begin();
      pointer __new_start(this->_M_allocate(__len));
      pointer __new_finish(__new_start);
      try
 {





   _Alloc_traits::construct(this->_M_impl,
       __new_start + __elems_before,

       std::forward<_Args>(__args)...);



   __new_finish = pointer();


   if constexpr (__use_relocate)
     {
       __new_finish
  = std::__relocate_a
  (__old_start, __position.base(),
   __new_start, _M_get_Tp_allocator());

       ++__new_finish;

       __new_finish
  = std::__relocate_a
  (__position.base(), __old_finish,
   __new_finish, _M_get_Tp_allocator());
     }
   else

     {
       __new_finish
  = std::__uninitialized_move_if_noexcept_a
  (__old_start, __position.base(),
   __new_start, _M_get_Tp_allocator());

       ++__new_finish;

       __new_finish
  = std::__uninitialized_move_if_noexcept_a
  (__position.base(), __old_finish,
   __new_finish, _M_get_Tp_allocator());
     }
 }
      catch(...)
 {
   if (!__new_finish)
     _Alloc_traits::destroy(this->_M_impl,
       __new_start + __elems_before);
   else
     std::_Destroy(__new_start, __new_finish, _M_get_Tp_allocator());
   _M_deallocate(__new_start, __len);
   throw;
 }

      if constexpr (!__use_relocate)

 std::_Destroy(__old_start, __old_finish, _M_get_Tp_allocator());
      ;
      _M_deallocate(__old_start,
      this->_M_impl._M_end_of_storage - __old_start);
      this->_M_impl._M_start = __new_start;
      this->_M_impl._M_finish = __new_finish;
      this->_M_impl._M_end_of_storage = __new_start + __len;
    }

  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_fill_insert(iterator __position, size_type __n, const value_type& __x)
    {
      if (__n != 0)
 {
   if (size_type(this->_M_impl._M_end_of_storage
   - this->_M_impl._M_finish) >= __n)
     {



       _Temporary_value __tmp(this, __x);
       value_type& __x_copy = __tmp._M_val();

       const size_type __elems_after = end() - __position;
       pointer __old_finish(this->_M_impl._M_finish);
       if (__elems_after > __n)
  {
    ;
    std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
           this->_M_impl._M_finish,
           this->_M_impl._M_finish,
           _M_get_Tp_allocator());
    this->_M_impl._M_finish += __n;
    ;
    std::move_backward(__position.base(), __old_finish - __n, __old_finish)
                                        ;
    std::fill(__position.base(), __position.base() + __n,
       __x_copy);
  }
       else
  {
    ;
    this->_M_impl._M_finish =
      std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
        __n - __elems_after,
        __x_copy,
        _M_get_Tp_allocator());
    ;
    std::__uninitialized_move_a(__position.base(), __old_finish,
           this->_M_impl._M_finish,
           _M_get_Tp_allocator());
    this->_M_impl._M_finish += __elems_after;
    ;
    std::fill(__position.base(), __old_finish, __x_copy);
  }
     }
   else
     {
       const size_type __len =
  _M_check_len(__n, "vector::_M_fill_insert");
       const size_type __elems_before = __position - begin();
       pointer __new_start(this->_M_allocate(__len));
       pointer __new_finish(__new_start);
       try
  {

    std::__uninitialized_fill_n_a(__new_start + __elems_before,
      __n, __x,
      _M_get_Tp_allocator());
    __new_finish = pointer();

    __new_finish
      = std::__uninitialized_move_if_noexcept_a
      (this->_M_impl._M_start, __position.base(),
       __new_start, _M_get_Tp_allocator());

    __new_finish += __n;

    __new_finish
      = std::__uninitialized_move_if_noexcept_a
      (__position.base(), this->_M_impl._M_finish,
       __new_finish, _M_get_Tp_allocator());
  }
       catch(...)
  {
    if (!__new_finish)
      std::_Destroy(__new_start + __elems_before,
      __new_start + __elems_before + __n,
      _M_get_Tp_allocator());
    else
      std::_Destroy(__new_start, __new_finish,
      _M_get_Tp_allocator());
    _M_deallocate(__new_start, __len);
    throw;
  }
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
       ;
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __new_start;
       this->_M_impl._M_finish = __new_finish;
       this->_M_impl._M_end_of_storage = __new_start + __len;
     }
 }
    }


  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_default_append(size_type __n)
    {
      if (__n != 0)
 {
   const size_type __size = size();
   size_type __navail = size_type(this->_M_impl._M_end_of_storage
      - this->_M_impl._M_finish);

   if (__size > max_size() || __navail > max_size() - __size)
     __builtin_unreachable();

   if (__navail >= __n)
     {
       ;
       this->_M_impl._M_finish =
  std::__uninitialized_default_n_a(this->_M_impl._M_finish,
       __n, _M_get_Tp_allocator());
       ;
     }
   else
     {
       const size_type __len =
  _M_check_len(__n, "vector::_M_default_append");
       pointer __new_start(this->_M_allocate(__len));

       if constexpr (__use_relocate)
  {
    try
      {
        std::__uninitialized_default_n_a(__new_start + __size,
         __n, _M_get_Tp_allocator());
      }
    catch(...)
      {
        _M_deallocate(__new_start, __len);
        throw;
      }
    std::__relocate_a(this->_M_impl._M_start,
        this->_M_impl._M_finish,
        __new_start, _M_get_Tp_allocator());
  }
       else

  {
    pointer __destroy_from = pointer();
    try
      {
        std::__uninitialized_default_n_a(__new_start + __size,
         __n, _M_get_Tp_allocator());
        __destroy_from = __new_start + __size;
        std::__uninitialized_move_if_noexcept_a(
         this->_M_impl._M_start, this->_M_impl._M_finish,
         __new_start, _M_get_Tp_allocator());
      }
    catch(...)
      {
        if (__destroy_from)
   std::_Destroy(__destroy_from, __destroy_from + __n,
          _M_get_Tp_allocator());
        _M_deallocate(__new_start, __len);
        throw;
      }
    std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
    _M_get_Tp_allocator());
  }
       ;
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __new_start;
       this->_M_impl._M_finish = __new_start + __size + __n;
       this->_M_impl._M_end_of_storage = __new_start + __len;
     }
 }
    }

  template<typename _Tp, typename _Alloc>
    bool
    vector<_Tp, _Alloc>::
    _M_shrink_to_fit()
    {
      if (capacity() == size())
 return false;
      ;
      return std::__shrink_to_fit_aux<vector>::_S_do_it(*this);
    }


  template<typename _Tp, typename _Alloc>
    template<typename _InputIterator>
      void
      vector<_Tp, _Alloc>::
      _M_range_insert(iterator __pos, _InputIterator __first,
        _InputIterator __last, std::input_iterator_tag)
      {
 if (__pos == end())
   {
     for (; __first != __last; ++__first)
       insert(end(), *__first);
   }
 else if (__first != __last)
   {
     vector __tmp(__first, __last, _M_get_Tp_allocator());
     insert(__pos,
     std::make_move_iterator(__tmp.begin()),
     std::make_move_iterator(__tmp.end()));
   }
      }

  template<typename _Tp, typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<_Tp, _Alloc>::
      _M_range_insert(iterator __position, _ForwardIterator __first,
        _ForwardIterator __last, std::forward_iterator_tag)
      {
 if (__first != __last)
   {
     const size_type __n = std::distance(__first, __last);
     if (size_type(this->_M_impl._M_end_of_storage
     - this->_M_impl._M_finish) >= __n)
       {
  const size_type __elems_after = end() - __position;
  pointer __old_finish(this->_M_impl._M_finish);
  if (__elems_after > __n)
    {
      ;
      std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
      this->_M_impl._M_finish,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __n;
      ;
      std::move_backward(__position.base(), __old_finish - __n, __old_finish)
                                          ;
      std::copy(__first, __last, __position);
    }
  else
    {
      _ForwardIterator __mid = __first;
      std::advance(__mid, __elems_after);
      ;
      std::__uninitialized_copy_a(__mid, __last,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __n - __elems_after;
      ;
      std::__uninitialized_move_a(__position.base(),
      __old_finish,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __elems_after;
      ;
      std::copy(__first, __mid, __position);
    }
       }
     else
       {
  const size_type __len =
    _M_check_len(__n, "vector::_M_range_insert");
  pointer __new_start(this->_M_allocate(__len));
  pointer __new_finish(__new_start);
  try
    {
      __new_finish
        = std::__uninitialized_move_if_noexcept_a
        (this->_M_impl._M_start, __position.base(),
         __new_start, _M_get_Tp_allocator());
      __new_finish
        = std::__uninitialized_copy_a(__first, __last,
          __new_finish,
          _M_get_Tp_allocator());
      __new_finish
        = std::__uninitialized_move_if_noexcept_a
        (__position.base(), this->_M_impl._M_finish,
         __new_finish, _M_get_Tp_allocator());
    }
  catch(...)
    {
      std::_Destroy(__new_start, __new_finish,
      _M_get_Tp_allocator());
      _M_deallocate(__new_start, __len);
      throw;
    }
  std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
         _M_get_Tp_allocator());
  ;
  _M_deallocate(this->_M_impl._M_start,
         this->_M_impl._M_end_of_storage
         - this->_M_impl._M_start);
  this->_M_impl._M_start = __new_start;
  this->_M_impl._M_finish = __new_finish;
  this->_M_impl._M_end_of_storage = __new_start + __len;
       }
   }
      }



  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_reallocate(size_type __n)
    {
      _Bit_pointer __q = this->_M_allocate(__n);
      iterator __start(std::__addressof(*__q), 0);
      iterator __finish(_M_copy_aligned(begin(), end(), __start));
      this->_M_deallocate();
      this->_M_impl._M_start = __start;
      this->_M_impl._M_finish = __finish;
      this->_M_impl._M_end_of_storage = __q + _S_nword(__n);
    }

  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_fill_insert(iterator __position, size_type __n, bool __x)
    {
      if (__n == 0)
 return;
      if (capacity() - size() >= __n)
 {
   std::copy_backward(__position, end(),
        this->_M_impl._M_finish + difference_type(__n));
   std::fill(__position, __position + difference_type(__n), __x);
   this->_M_impl._M_finish += difference_type(__n);
 }
      else
 {
   const size_type __len =
     _M_check_len(__n, "vector<bool>::_M_fill_insert");
   _Bit_pointer __q = this->_M_allocate(__len);
   iterator __start(std::__addressof(*__q), 0);
   iterator __i = _M_copy_aligned(begin(), __position, __start);
   std::fill(__i, __i + difference_type(__n), __x);
   iterator __finish = std::copy(__position, end(),
     __i + difference_type(__n));
   this->_M_deallocate();
   this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
   this->_M_impl._M_start = __start;
   this->_M_impl._M_finish = __finish;
 }
    }

  template<typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<bool, _Alloc>::
      _M_insert_range(iterator __position, _ForwardIterator __first,
        _ForwardIterator __last, std::forward_iterator_tag)
      {
 if (__first != __last)
   {
     size_type __n = std::distance(__first, __last);
     if (capacity() - size() >= __n)
       {
  std::copy_backward(__position, end(),
       this->_M_impl._M_finish
       + difference_type(__n));
  std::copy(__first, __last, __position);
  this->_M_impl._M_finish += difference_type(__n);
       }
     else
       {
  const size_type __len =
    _M_check_len(__n, "vector<bool>::_M_insert_range");
  _Bit_pointer __q = this->_M_allocate(__len);
  iterator __start(std::__addressof(*__q), 0);
  iterator __i = _M_copy_aligned(begin(), __position, __start);
  __i = std::copy(__first, __last, __i);
  iterator __finish = std::copy(__position, end(), __i);
  this->_M_deallocate();
  this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
  this->_M_impl._M_start = __start;
  this->_M_impl._M_finish = __finish;
       }
   }
      }

  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_insert_aux(iterator __position, bool __x)
    {
      if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr())
 {
   std::copy_backward(__position, this->_M_impl._M_finish,
        this->_M_impl._M_finish + 1);
   *__position = __x;
   ++this->_M_impl._M_finish;
 }
      else
 {
   const size_type __len =
     _M_check_len(size_type(1), "vector<bool>::_M_insert_aux");
   _Bit_pointer __q = this->_M_allocate(__len);
   iterator __start(std::__addressof(*__q), 0);
   iterator __i = _M_copy_aligned(begin(), __position, __start);
   *__i++ = __x;
   iterator __finish = std::copy(__position, end(), __i);
   this->_M_deallocate();
   this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
   this->_M_impl._M_start = __start;
   this->_M_impl._M_finish = __finish;
 }
    }

  template<typename _Alloc>
    typename vector<bool, _Alloc>::iterator
    vector<bool, _Alloc>::
    _M_erase(iterator __position)
    {
      if (__position + 1 != end())
        std::copy(__position + 1, end(), __position);
      --this->_M_impl._M_finish;
      return __position;
    }

  template<typename _Alloc>
    typename vector<bool, _Alloc>::iterator
    vector<bool, _Alloc>::
    _M_erase(iterator __first, iterator __last)
    {
      if (__first != __last)
 _M_erase_at_end(std::copy(__last, end(), __first));
      return __first;
    }


  template<typename _Alloc>
    bool
    vector<bool, _Alloc>::
    _M_shrink_to_fit()
    {
      if (capacity() - size() < int(_S_word_bit))
 return false;
      try
 {
   _M_reallocate(size());
   return true;
 }
      catch(...)
 { return false; }
    }




}



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


  template<typename _Alloc>
    size_t
    hash<std::vector<bool, _Alloc>>::
    operator()(const std::vector<bool, _Alloc>& __b) const noexcept
    {
      size_t __hash = 0;
      using std::_S_word_bit;
      using std::_Bit_type;

      const size_t __words = __b.size() / _S_word_bit;
      if (__words)
 {
   const size_t __clength = __words * sizeof(_Bit_type);
   __hash = std::_Hash_impl::hash(__b._M_impl._M_start._M_p, __clength);
 }

      const size_t __extrabits = __b.size() % _S_word_bit;
      if (__extrabits)
 {
   _Bit_type __hiword = *__b._M_impl._M_finish._M_p;
   __hiword &= ~((~static_cast<_Bit_type>(0)) << __extrabits);

   const size_t __clength
     = (__extrabits + 8 - 1) / 8;
   if (__words)
     __hash = std::_Hash_impl::hash(&__hiword, __clength, __hash);
   else
     __hash = std::_Hash_impl::hash(&__hiword, __clength);
 }

      return __hash;
    }


}
# 73 "/opt/sutton/include/c++/9.0.0/vector" 2 3
# 84 "/opt/sutton/include/c++/9.0.0/vector" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

  namespace pmr {
    template<typename _Tp> class polymorphic_allocator;
    template<typename _Tp>
      using vector = std::vector<_Tp, polymorphic_allocator<_Tp>>;
  }

}



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

  template<typename _Tp, typename _Alloc, typename _Predicate>
    inline typename vector<_Tp, _Alloc>::size_type
    erase_if(vector<_Tp, _Alloc>& __cont, _Predicate __pred)
    {
      const auto __osz = __cont.size();
      __cont.erase(std::remove_if(__cont.begin(), __cont.end(), __pred),
     __cont.end());
      return __osz - __cont.size();
    }

  template<typename _Tp, typename _Alloc, typename _Up>
    inline typename vector<_Tp, _Alloc>::size_type
    erase(vector<_Tp, _Alloc>& __cont, const _Up& __value)
    {
      const auto __osz = __cont.size();
      __cont.erase(std::remove(__cont.begin(), __cont.end(), __value),
     __cont.end());
      return __osz - __cont.size();
    }

}
# 466 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/memory" 1 3
# 46 "/opt/sutton/include/c++/9.0.0/memory" 3
       
# 47 "/opt/sutton/include/c++/9.0.0/memory" 3
# 67 "/opt/sutton/include/c++/9.0.0/memory" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/stl_raw_storage_iter.h" 1 3
# 59 "/opt/sutton/include/c++/9.0.0/bits/stl_raw_storage_iter.h" 3
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&
      operator=(_Tp&& __element)
      {
 std::_Construct(std::__addressof(*_M_iter), std::move(__element));
 return *this;
      }


      raw_storage_iterator&
      operator++()
      {
 ++_M_iter;
 return *this;
      }

      raw_storage_iterator
      operator++(int)
      {
 raw_storage_iterator __tmp = *this;
 ++_M_iter;
 return __tmp;
      }



      _OutputIterator base() const { return _M_iter; }
    };


}
# 68 "/opt/sutton/include/c++/9.0.0/memory" 2 3






# 1 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 3







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, 0 } } };




    __mutex(const __mutex&);
    __mutex& operator=(const __mutex&);

  public:
    __mutex()
    {




    }
# 144 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 3
    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, 0 } } };




    __recursive_mutex(const __recursive_mutex&);
    __recursive_mutex& operator=(const __recursive_mutex&);

  public:
    __recursive_mutex()
    {




    }
# 199 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 3
    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, 0}, 0, 0, {0, 0} } };




    __cond(const __cond&);
    __cond& operator=(const __cond&);

  public:
    __cond()
    {




    }
# 277 "/opt/sutton/include/c++/9.0.0/ext/concurrence.h" 3
    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();
      }

    }
  };



}
# 75 "/opt/sutton/include/c++/9.0.0/memory" 2 3


# 1 "/opt/sutton/include/c++/9.0.0/bits/uses_allocator.h" 1 3
# 35 "/opt/sutton/include/c++/9.0.0/bits/uses_allocator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  struct __erased_type { };




  template<typename _Alloc, typename _Tp>
    using __is_erased_or_convertible
      = __or_<is_convertible<_Alloc, _Tp>, is_same<_Tp, __erased_type>>;


  struct allocator_arg_t { explicit allocator_arg_t() = default; };

  inline constexpr allocator_arg_t allocator_arg =
    allocator_arg_t();

  template<typename _Tp, typename _Alloc, typename = __void_t<>>
    struct __uses_allocator_helper
    : false_type { };

  template<typename _Tp, typename _Alloc>
    struct __uses_allocator_helper<_Tp, _Alloc,
       __void_t<typename _Tp::allocator_type>>
    : __is_erased_or_convertible<_Alloc, typename _Tp::allocator_type>::type
    { };


  template<typename _Tp, typename _Alloc>
    struct uses_allocator
    : __uses_allocator_helper<_Tp, _Alloc>::type
    { };

  struct __uses_alloc_base { };

  struct __uses_alloc0 : __uses_alloc_base
  {
    struct _Sink { void operator=(const void*) { } } _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 _Tp, 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
    {
      static_assert(__or_<
   is_constructible<_Tp, allocator_arg_t, _Alloc, _Args...>,
   is_constructible<_Tp, _Args..., _Alloc>>::value, "construction with"
   " an allocator must be possible if uses_allocator is true");
    };

  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc<false, _Tp, _Alloc, _Args...>
    : __uses_alloc0 { };

  template<typename _Tp, typename _Alloc, typename... _Args>
    using __uses_alloc_t =
      __uses_alloc<uses_allocator<_Tp, _Alloc>::value, _Tp, _Alloc, _Args...>;

  template<typename _Tp, typename _Alloc, typename... _Args>
    inline __uses_alloc_t<_Tp, _Alloc, _Args...>
    __use_alloc(const _Alloc& __a)
    {
      __uses_alloc_t<_Tp, _Alloc, _Args...> __ret;
      __ret._M_a = std::__addressof(__a);
      return __ret;
    }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void
    __use_alloc(const _Alloc&&) = delete;


  template <typename _Tp, typename _Alloc>
    inline constexpr bool uses_allocator_v =
      uses_allocator<_Tp, _Alloc>::value;


  template<template<typename...> class _Predicate,
    typename _Tp, typename _Alloc, typename... _Args>
    struct __is_uses_allocator_predicate
    : conditional<uses_allocator<_Tp, _Alloc>::value,
      __or_<_Predicate<_Tp, allocator_arg_t, _Alloc, _Args...>,
     _Predicate<_Tp, _Args..., _Alloc>>,
      _Predicate<_Tp, _Args...>>::type { };

  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __is_uses_allocator_constructible
    : __is_uses_allocator_predicate<is_constructible, _Tp, _Alloc, _Args...>
    { };


  template<typename _Tp, typename _Alloc, typename... _Args>
    inline constexpr bool __is_uses_allocator_constructible_v =
      __is_uses_allocator_constructible<_Tp, _Alloc, _Args...>::value;


  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __is_nothrow_uses_allocator_constructible
    : __is_uses_allocator_predicate<is_nothrow_constructible,
        _Tp, _Alloc, _Args...>
    { };



  template<typename _Tp, typename _Alloc, typename... _Args>
    inline constexpr bool
    __is_nothrow_uses_allocator_constructible_v =
      __is_nothrow_uses_allocator_constructible<_Tp, _Alloc, _Args...>::value;


  template<typename _Tp, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc0 __a, _Tp* __ptr,
      _Args&&... __args)
    { ::new ((void*)__ptr) _Tp(std::forward<_Args>(__args)...); }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc1<_Alloc> __a, _Tp* __ptr,
      _Args&&... __args)
    {
      ::new ((void*)__ptr) _Tp(allocator_arg, *__a._M_a,
          std::forward<_Args>(__args)...);
    }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc2<_Alloc> __a, _Tp* __ptr,
      _Args&&... __args)
    { ::new ((void*)__ptr) _Tp(std::forward<_Args>(__args)..., *__a._M_a); }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct(const _Alloc& __a, _Tp* __ptr,
        _Args&&... __args)
    {
      std::__uses_allocator_construct_impl(
   std::__use_alloc<_Tp, _Alloc, _Args...>(__a), __ptr,
   std::forward<_Args>(__args)...);
    }


}
# 78 "/opt/sutton/include/c++/9.0.0/memory" 2 3


# 1 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/tuple" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/tuple" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/tuple" 3






# 1 "/opt/sutton/include/c++/9.0.0/array" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/array" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/array" 3






# 1 "/opt/sutton/include/c++/9.0.0/stdexcept" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/stdexcept" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/stdexcept" 3




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





  struct __cow_string
  {
    union {
      const char* _M_p;
      char _M_bytes[sizeof(const char*)];
    };

    __cow_string();
    __cow_string(const std::string&);
    __cow_string(const char*, size_t);
    __cow_string(const __cow_string&) noexcept;
    __cow_string& operator=(const __cow_string&) noexcept;
    ~__cow_string();

    __cow_string(__cow_string&&) noexcept;
    __cow_string& operator=(__cow_string&&) noexcept;

  };

  typedef basic_string<char> __sso_string;
# 113 "/opt/sutton/include/c++/9.0.0/stdexcept" 3
  class logic_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    logic_error(const string& __arg) ;


    explicit
    logic_error(const char*) ;

    logic_error(logic_error&&) noexcept;
    logic_error& operator=(logic_error&&) noexcept;



    logic_error(const logic_error&) noexcept;
    logic_error& operator=(const logic_error&) noexcept;





    virtual ~logic_error() noexcept;



    virtual const char*
    what() const noexcept;





  };



  class domain_error : public logic_error
  {
  public:
    explicit domain_error(const string& __arg) ;

    explicit domain_error(const char*) ;
    domain_error(const domain_error&) = default;
    domain_error& operator=(const domain_error&) = default;
    domain_error(domain_error&&) = default;
    domain_error& operator=(domain_error&&) = default;

    virtual ~domain_error() noexcept;
  };


  class invalid_argument : public logic_error
  {
  public:
    explicit invalid_argument(const string& __arg) ;

    explicit invalid_argument(const char*) ;
    invalid_argument(const invalid_argument&) = default;
    invalid_argument& operator=(const invalid_argument&) = default;
    invalid_argument(invalid_argument&&) = default;
    invalid_argument& operator=(invalid_argument&&) = default;

    virtual ~invalid_argument() noexcept;
  };



  class length_error : public logic_error
  {
  public:
    explicit length_error(const string& __arg) ;

    explicit length_error(const char*) ;
    length_error(const length_error&) = default;
    length_error& operator=(const length_error&) = default;
    length_error(length_error&&) = default;
    length_error& operator=(length_error&&) = default;

    virtual ~length_error() noexcept;
  };



  class out_of_range : public logic_error
  {
  public:
    explicit out_of_range(const string& __arg) ;

    explicit out_of_range(const char*) ;
    out_of_range(const out_of_range&) = default;
    out_of_range& operator=(const out_of_range&) = default;
    out_of_range(out_of_range&&) = default;
    out_of_range& operator=(out_of_range&&) = default;

    virtual ~out_of_range() noexcept;
  };






  class runtime_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    runtime_error(const string& __arg) ;


    explicit
    runtime_error(const char*) ;

    runtime_error(runtime_error&&) noexcept;
    runtime_error& operator=(runtime_error&&) noexcept;



    runtime_error(const runtime_error&) noexcept;
    runtime_error& operator=(const runtime_error&) noexcept;





    virtual ~runtime_error() noexcept;



    virtual const char*
    what() const noexcept;





  };


  class range_error : public runtime_error
  {
  public:
    explicit range_error(const string& __arg) ;

    explicit range_error(const char*) ;
    range_error(const range_error&) = default;
    range_error& operator=(const range_error&) = default;
    range_error(range_error&&) = default;
    range_error& operator=(range_error&&) = default;

    virtual ~range_error() noexcept;
  };


  class overflow_error : public runtime_error
  {
  public:
    explicit overflow_error(const string& __arg) ;

    explicit overflow_error(const char*) ;
    overflow_error(const overflow_error&) = default;
    overflow_error& operator=(const overflow_error&) = default;
    overflow_error(overflow_error&&) = default;
    overflow_error& operator=(overflow_error&&) = default;

    virtual ~overflow_error() noexcept;
  };


  class underflow_error : public runtime_error
  {
  public:
    explicit underflow_error(const string& __arg) ;

    explicit underflow_error(const char*) ;
    underflow_error(const underflow_error&) = default;
    underflow_error& operator=(const underflow_error&) = default;
    underflow_error(underflow_error&&) = default;
    underflow_error& operator=(underflow_error&&) = default;

    virtual ~underflow_error() noexcept;
  };




}
# 40 "/opt/sutton/include/c++/9.0.0/array" 2 3



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


  template<typename _Tp, std::size_t _Nm>
    struct __array_traits
    {
      typedef _Tp _Type[_Nm];
      typedef __is_swappable<_Tp> _Is_swappable;
      typedef __is_nothrow_swappable<_Tp> _Is_nothrow_swappable;

      static constexpr _Tp&
      _S_ref(const _Type& __t, std::size_t __n) noexcept
      { return const_cast<_Tp&>(__t[__n]); }

      static constexpr _Tp*
      _S_ptr(const _Type& __t) noexcept
      { return const_cast<_Tp*>(__t); }
    };

 template<typename _Tp>
   struct __array_traits<_Tp, 0>
   {
     struct _Type { };
     typedef true_type _Is_swappable;
     typedef true_type _Is_nothrow_swappable;

     static constexpr _Tp&
     _S_ref(const _Type&, std::size_t) noexcept
     { return *static_cast<_Tp*>(nullptr); }

     static constexpr _Tp*
     _S_ptr(const _Type&) noexcept
     { return nullptr; }
   };
# 93 "/opt/sutton/include/c++/9.0.0/array" 3
  template<typename _Tp, std::size_t _Nm>
    struct array
    {
      typedef _Tp value_type;
      typedef value_type* pointer;
      typedef const value_type* const_pointer;
      typedef value_type& reference;
      typedef const value_type& const_reference;
      typedef value_type* iterator;
      typedef const value_type* const_iterator;
      typedef std::size_t size_type;
      typedef std::ptrdiff_t difference_type;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;


      typedef std::__array_traits<_Tp, _Nm> _AT_Type;
      typename _AT_Type::_Type _M_elems;




      void
      fill(const value_type& __u)
      { std::fill_n(begin(), size(), __u); }

      void
      swap(array& __other)
      noexcept(_AT_Type::_Is_nothrow_swappable::value)
      { std::swap_ranges(begin(), end(), __other.begin()); }


      constexpr iterator
      begin() noexcept
      { return iterator(data()); }

      constexpr const_iterator
      begin() const noexcept
      { return const_iterator(data()); }

      constexpr iterator
      end() noexcept
      { return iterator(data() + _Nm); }

      constexpr const_iterator
      end() const noexcept
      { return const_iterator(data() + _Nm); }

      constexpr reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }

      constexpr const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }

      constexpr reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }

      constexpr const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }

      constexpr const_iterator
      cbegin() const noexcept
      { return const_iterator(data()); }

      constexpr const_iterator
      cend() const noexcept
      { return const_iterator(data() + _Nm); }

      constexpr const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }

      constexpr const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }


      constexpr size_type
      size() const noexcept { return _Nm; }

      constexpr size_type
      max_size() const noexcept { return _Nm; }

      constexpr bool
      empty() const noexcept { return size() == 0; }


      constexpr reference
      operator[](size_type __n) noexcept
      { return _AT_Type::_S_ref(_M_elems, __n); }

      constexpr const_reference
      operator[](size_type __n) const noexcept
      { return _AT_Type::_S_ref(_M_elems, __n); }

      constexpr reference
      at(size_type __n)
      {
 if (__n >= _Nm)
   std::__throw_out_of_range_fmt(("array::at: __n (which is %zu) " ">= _Nm (which is %zu)")
                                 ,
     __n, _Nm);
 return _AT_Type::_S_ref(_M_elems, __n);
      }

      constexpr const_reference
      at(size_type __n) const
      {


 return __n < _Nm ? _AT_Type::_S_ref(_M_elems, __n)
   : (std::__throw_out_of_range_fmt(("array::at: __n (which is %zu) " ">= _Nm (which is %zu)")
                                    ,
        __n, _Nm),
      _AT_Type::_S_ref(_M_elems, 0));
      }

      constexpr reference
      front() noexcept
      { return *begin(); }

      constexpr const_reference
      front() const noexcept
      { return _AT_Type::_S_ref(_M_elems, 0); }

      constexpr reference
      back() noexcept
      { return _Nm ? *(end() - 1) : *end(); }

      constexpr const_reference
      back() const noexcept
      {
 return _Nm ? _AT_Type::_S_ref(_M_elems, _Nm - 1)
             : _AT_Type::_S_ref(_M_elems, 0);
      }

      constexpr pointer
      data() noexcept
      { return _AT_Type::_S_ptr(_M_elems); }

      constexpr const_pointer
      data() const noexcept
      { return _AT_Type::_S_ptr(_M_elems); }
    };


  template<typename _Tp, typename... _Up>
    array(_Tp, _Up...)
      -> array<enable_if_t<(is_same_v<_Tp, _Up> && ...), _Tp>,
        1 + sizeof...(_Up)>;



  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator==(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return std::equal(__one.begin(), __one.end(), __two.begin()); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator!=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one == __two); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator<(const array<_Tp, _Nm>& __a, const array<_Tp, _Nm>& __b)
    {
      return std::lexicographical_compare(__a.begin(), __a.end(),
       __b.begin(), __b.end());
    }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator>(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return __two < __one; }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator<=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one > __two); }

  template<typename _Tp, std::size_t _Nm>
    inline bool
    operator>=(const array<_Tp, _Nm>& __one, const array<_Tp, _Nm>& __two)
    { return !(__one < __two); }


  template<typename _Tp, std::size_t _Nm>
    inline


    typename enable_if<
      std::__array_traits<_Tp, _Nm>::_Is_swappable::value
    >::type



    swap(array<_Tp, _Nm>& __one, array<_Tp, _Nm>& __two)
    noexcept(noexcept(__one.swap(__two)))
    { __one.swap(__two); }


  template<typename _Tp, std::size_t _Nm>
    typename enable_if<
      !std::__array_traits<_Tp, _Nm>::_Is_swappable::value>::type
    swap(array<_Tp, _Nm>&, array<_Tp, _Nm>&) = delete;


  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp&
    get(array<_Tp, _Nm>& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::__array_traits<_Tp, _Nm>::
 _S_ref(__arr._M_elems, _Int);
    }

  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp&&
    get(array<_Tp, _Nm>&& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::move(std::get<_Int>(__arr));
    }

  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr const _Tp&
    get(const array<_Tp, _Nm>& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::__array_traits<_Tp, _Nm>::
 _S_ref(__arr._M_elems, _Int);
    }

  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr const _Tp&&
    get(const array<_Tp, _Nm>&& __arr) noexcept
    {
      static_assert(_Int < _Nm, "array index is within bounds");
      return std::move(std::get<_Int>(__arr));
    }


}

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





  template<typename _Tp>
    struct tuple_size;


  template<typename _Tp, std::size_t _Nm>
    struct tuple_size<std::array<_Tp, _Nm>>
    : public integral_constant<std::size_t, _Nm> { };


  template<std::size_t _Int, typename _Tp>
    struct tuple_element;


  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    struct tuple_element<_Int, std::array<_Tp, _Nm>>
    {
      static_assert(_Int < _Nm, "index is out of bounds");
      typedef _Tp type;
    };

  template<typename _Tp, std::size_t _Nm>
    struct __is_tuple_like_impl<std::array<_Tp, _Nm>> : true_type
    { };


}
# 40 "/opt/sutton/include/c++/9.0.0/tuple" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/invoke.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/invoke.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/invoke.h" 3







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

# 52 "/opt/sutton/include/c++/9.0.0/bits/invoke.h" 3
  template<typename _Tp, typename _Up = typename __inv_unwrap<_Tp>::type>
    constexpr _Up&&
    __invfwd(typename remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Up&&>(__t); }

  template<typename _Res, typename _Fn, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_other, _Fn&& __f, _Args&&... __args)
    { return std::forward<_Fn>(__f)(std::forward<_Args>(__args)...); }

  template<typename _Res, typename _MemFun, typename _Tp, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_memfun_ref, _MemFun&& __f, _Tp&& __t,
    _Args&&... __args)
    { return (__invfwd<_Tp>(__t).*__f)(std::forward<_Args>(__args)...); }

  template<typename _Res, typename _MemFun, typename _Tp, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_memfun_deref, _MemFun&& __f, _Tp&& __t,
    _Args&&... __args)
    {
      return ((*std::forward<_Tp>(__t)).*__f)(std::forward<_Args>(__args)...);
    }

  template<typename _Res, typename _MemPtr, typename _Tp>
    constexpr _Res
    __invoke_impl(__invoke_memobj_ref, _MemPtr&& __f, _Tp&& __t)
    { return __invfwd<_Tp>(__t).*__f; }

  template<typename _Res, typename _MemPtr, typename _Tp>
    constexpr _Res
    __invoke_impl(__invoke_memobj_deref, _MemPtr&& __f, _Tp&& __t)
    { return (*std::forward<_Tp>(__t)).*__f; }


  template<typename _Callable, typename... _Args>
    constexpr typename __invoke_result<_Callable, _Args...>::type
    __invoke(_Callable&& __fn, _Args&&... __args)
    noexcept(__is_nothrow_invocable<_Callable, _Args...>::value)
    {
      using __result = __invoke_result<_Callable, _Args...>;
      using __type = typename __result::type;
      using __tag = typename __result::__invoke_type;
      return std::__invoke_impl<__type>(__tag{}, std::forward<_Callable>(__fn),
     std::forward<_Args>(__args)...);
    }


}
# 42 "/opt/sutton/include/c++/9.0.0/tuple" 2 3

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







  template<typename... _Elements>
    class tuple;

  template<typename _Tp>
    struct __is_empty_non_tuple : is_empty<_Tp> { };


  template<typename _El0, typename... _El>
    struct __is_empty_non_tuple<tuple<_El0, _El...>> : false_type { };


  template<typename _Tp>
    using __empty_not_final
    = typename conditional<__is_final(_Tp), false_type,
      __is_empty_non_tuple<_Tp>>::type;

  template<std::size_t _Idx, typename _Head,
    bool = __empty_not_final<_Head>::value>
    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) { }

      constexpr _Head_base(const _Head_base&) = default;
      constexpr _Head_base(_Head_base&&) = default;

      template<typename _UHead>
        constexpr _Head_base(_UHead&& __h)
 : _Head(std::forward<_UHead>(__h)) { }

      _Head_base(allocator_arg_t, __uses_alloc0)
      : _Head() { }

      template<typename _Alloc>
 _Head_base(allocator_arg_t, __uses_alloc1<_Alloc> __a)
 : _Head(allocator_arg, *__a._M_a) { }

      template<typename _Alloc>
 _Head_base(allocator_arg_t, __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) { }

      constexpr _Head_base(const _Head_base&) = default;
      constexpr _Head_base(_Head_base&&) = default;

      template<typename _UHead>
        constexpr _Head_base(_UHead&& __h)
 : _M_head_impl(std::forward<_UHead>(__h)) { }

      _Head_base(allocator_arg_t, __uses_alloc0)
      : _M_head_impl() { }

      template<typename _Alloc>
 _Head_base(allocator_arg_t, __uses_alloc1<_Alloc> __a)
 : _M_head_impl(allocator_arg, *__a._M_a) { }

      template<typename _Alloc>
 _Head_base(allocator_arg_t, __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;
    };
# 176 "/opt/sutton/include/c++/9.0.0/tuple" 3
  template<std::size_t _Idx, typename... _Elements>
    struct _Tuple_impl;






  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>
    {
      template<std::size_t, typename...> friend class _Tuple_impl;

      typedef _Tuple_impl<_Idx + 1, _Tail...> _Inherited;
      typedef _Head_base<_Idx, _Head> _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;



      _Tuple_impl& operator=(const _Tuple_impl&) = delete;

      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(__tag, __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))) { }

      template<typename... _UElements>
        void
        _M_assign(const _Tuple_impl<_Idx, _UElements...>& __in)
        {
   _M_head(*this) = _Tuple_impl<_Idx, _UElements...>::_M_head(__in);
   _M_tail(*this)._M_assign(
       _Tuple_impl<_Idx, _UElements...>::_M_tail(__in));
 }

      template<typename _UHead, typename... _UTails>
        void
        _M_assign(_Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
        {
   _M_head(*this) = std::forward<_UHead>
     (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in));
   _M_tail(*this)._M_assign(
       std::move(_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in)));
 }

    protected:
      void
      _M_swap(_Tuple_impl& __in)
      {
 using std::swap;
 swap(_M_head(*this), _M_head(__in));
 _Inherited::_M_swap(_M_tail(__in));
      }
    };


  template<std::size_t _Idx, typename _Head>
    struct _Tuple_impl<_Idx, _Head>
    : private _Head_base<_Idx, _Head>
    {
      template<std::size_t, typename...> friend class _Tuple_impl;

      typedef _Head_base<_Idx, _Head> _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); }

      constexpr _Tuple_impl()
      : _Base() { }

      explicit
      constexpr _Tuple_impl(const _Head& __head)
      : _Base(__head) { }

      template<typename _UHead>
        explicit
        constexpr _Tuple_impl(_UHead&& __head)
 : _Base(std::forward<_UHead>(__head)) { }

      constexpr _Tuple_impl(const _Tuple_impl&) = default;



      _Tuple_impl& operator=(const _Tuple_impl&) = delete;

      constexpr
      _Tuple_impl(_Tuple_impl&& __in)
      noexcept(is_nothrow_move_constructible<_Head>::value)
      : _Base(std::forward<_Head>(_M_head(__in))) { }

      template<typename _UHead>
        constexpr _Tuple_impl(const _Tuple_impl<_Idx, _UHead>& __in)
 : _Base(_Tuple_impl<_Idx, _UHead>::_M_head(__in)) { }

      template<typename _UHead>
        constexpr _Tuple_impl(_Tuple_impl<_Idx, _UHead>&& __in)
 : _Base(std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in)))
 { }

      template<typename _Alloc>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a)
 : _Base(__tag, __use_alloc<_Head>(__a)) { }

      template<typename _Alloc>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      const _Head& __head)
 : _Base(__use_alloc<_Head, _Alloc, _Head>(__a), __head) { }

      template<typename _Alloc, typename _UHead>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             _UHead&& __head)
 : _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)
 : _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)
 : _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
         std::forward<_Head>(_M_head(__in))) { }

      template<typename _Alloc, typename _UHead>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             const _Tuple_impl<_Idx, _UHead>& __in)
 : _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
  _Tuple_impl<_Idx, _UHead>::_M_head(__in)) { }

      template<typename _Alloc, typename _UHead>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             _Tuple_impl<_Idx, _UHead>&& __in)
 : _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
                std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in)))
 { }

      template<typename _UHead>
        void
        _M_assign(const _Tuple_impl<_Idx, _UHead>& __in)
        {
   _M_head(*this) = _Tuple_impl<_Idx, _UHead>::_M_head(__in);
 }

      template<typename _UHead>
        void
        _M_assign(_Tuple_impl<_Idx, _UHead>&& __in)
        {
   _M_head(*this)
     = std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in));
 }

    protected:
      void
      _M_swap(_Tuple_impl& __in)
      {
 using std::swap;
 swap(_M_head(*this), _M_head(__in));
      }
    };



  template<bool, typename... _Elements>
  struct _TC
  {
    template<typename... _UElements>
    static constexpr bool _ConstructibleTuple()
    {
      return __and_<is_constructible<_Elements, const _UElements&>...>::value;
    }

    template<typename... _UElements>
    static constexpr bool _ImplicitlyConvertibleTuple()
    {
      return __and_<is_convertible<const _UElements&, _Elements>...>::value;
    }

    template<typename... _UElements>
    static constexpr bool _MoveConstructibleTuple()
    {
      return __and_<is_constructible<_Elements, _UElements&&>...>::value;
    }

    template<typename... _UElements>
    static constexpr bool _ImplicitlyMoveConvertibleTuple()
    {
      return __and_<is_convertible<_UElements&&, _Elements>...>::value;
    }

    template<typename _SrcTuple>
    static constexpr bool _NonNestedTuple()
    {
      return __and_<__not_<is_same<tuple<_Elements...>,
        __remove_cvref_t<_SrcTuple>>>,
                     __not_<is_convertible<_SrcTuple, _Elements...>>,
                     __not_<is_constructible<_Elements..., _SrcTuple>>
              >::value;
    }

    template<typename... _UElements>
    static constexpr bool _NotSameTuple()
    {
      return __not_<is_same<tuple<_Elements...>,
        __remove_cvref_t<_UElements>...>>::value;
    }
  };

  template<typename... _Elements>
  struct _TC<false, _Elements...>
  {
    template<typename... _UElements>
    static constexpr bool _ConstructibleTuple()
    {
      return false;
    }

    template<typename... _UElements>
    static constexpr bool _ImplicitlyConvertibleTuple()
    {
      return false;
    }

    template<typename... _UElements>
    static constexpr bool _MoveConstructibleTuple()
    {
      return false;
    }

    template<typename... _UElements>
    static constexpr bool _ImplicitlyMoveConvertibleTuple()
    {
      return false;
    }

    template<typename... _UElements>
    static constexpr bool _NonNestedTuple()
    {
      return true;
    }

    template<typename... _UElements>
    static constexpr bool _NotSameTuple()
    {
      return true;
    }
  };


  template<typename... _Elements>
    class tuple : public _Tuple_impl<0, _Elements...>
    {
      typedef _Tuple_impl<0, _Elements...> _Inherited;



      template<typename _Dummy>
      struct _TC2
      {
        static constexpr bool _DefaultConstructibleTuple()
        {
          return __and_<is_default_constructible<_Elements>...>::value;
        }
        static constexpr bool _ImplicitlyDefaultConstructibleTuple()
        {
          return __and_<__is_implicitly_default_constructible<_Elements>...>
            ::value;
        }
      };

      template<typename... _UElements>
 static constexpr
 __enable_if_t<sizeof...(_UElements) == sizeof...(_Elements), bool>
 __assignable()
 { return __and_<is_assignable<_Elements&, _UElements>...>::value; }

      template<typename... _UElements>
 static constexpr bool __nothrow_assignable()
 {
   return
     __and_<is_nothrow_assignable<_Elements&, _UElements>...>::value;
 }

    public:
      template<typename _Dummy = void,
               typename enable_if<_TC2<_Dummy>::
                                    _ImplicitlyDefaultConstructibleTuple(),
                                  bool>::type = true>
      constexpr tuple()
      : _Inherited() { }

      template<typename _Dummy = void,
               typename enable_if<_TC2<_Dummy>::
                                    _DefaultConstructibleTuple()
                                  &&
                                  !_TC2<_Dummy>::
                                    _ImplicitlyDefaultConstructibleTuple(),
                                  bool>::type = false>
      explicit constexpr tuple()
      : _Inherited() { }



      template<typename _Dummy> using _TCC =
        _TC<is_same<_Dummy, void>::value,
            _Elements...>;

      template<typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_Elements...>()
                 && _TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_Elements...>()
                 && (sizeof...(_Elements) >= 1),
               bool>::type=true>
        constexpr tuple(const _Elements&... __elements)
      : _Inherited(__elements...) { }

      template<typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_Elements...>()
                 && !_TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_Elements...>()
                 && (sizeof...(_Elements) >= 1),
               bool>::type=false>
      explicit constexpr tuple(const _Elements&... __elements)
      : _Inherited(__elements...) { }



      template<typename... _UElements> using _TMC =
                  _TC<(sizeof...(_Elements) == sizeof...(_UElements))
        && (_TC<(sizeof...(_UElements)==1), _Elements...>::
     template _NotSameTuple<_UElements...>()),
                      _Elements...>;



      template<typename... _UElements> using _TMCT =
                  _TC<(sizeof...(_Elements) == sizeof...(_UElements))
        && !is_same<tuple<_Elements...>,
      tuple<_UElements...>>::value,
                      _Elements...>;

      template<typename... _UElements, typename
        enable_if<
    _TMC<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && _TMC<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && (sizeof...(_Elements) >= 1),
        bool>::type=true>
        constexpr tuple(_UElements&&... __elements)
        : _Inherited(std::forward<_UElements>(__elements)...) { }

      template<typename... _UElements, typename
        enable_if<
    _TMC<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && !_TMC<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && (sizeof...(_Elements) >= 1),
        bool>::type=false>
        explicit constexpr tuple(_UElements&&... __elements)
 : _Inherited(std::forward<_UElements>(__elements)...) { }

      constexpr tuple(const tuple&) = default;

      constexpr tuple(tuple&&) = default;



      template<typename _Dummy> using _TNTC =
        _TC<is_same<_Dummy, void>::value && sizeof...(_Elements) == 1,
            _Elements...>;

      template<typename... _UElements, typename _Dummy = void, typename
        enable_if<_TMCT<_UElements...>::template
                    _ConstructibleTuple<_UElements...>()
                  && _TMCT<_UElements...>::template
                    _ImplicitlyConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<const tuple<_UElements...>&>(),
        bool>::type=true>
        constexpr tuple(const tuple<_UElements...>& __in)
        : _Inherited(static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
        { }

      template<typename... _UElements, typename _Dummy = void, typename
        enable_if<_TMCT<_UElements...>::template
                    _ConstructibleTuple<_UElements...>()
                  && !_TMCT<_UElements...>::template
                    _ImplicitlyConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<const tuple<_UElements...>&>(),
        bool>::type=false>
        explicit constexpr tuple(const tuple<_UElements...>& __in)
        : _Inherited(static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
        { }

      template<typename... _UElements, typename _Dummy = void, typename
        enable_if<_TMCT<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && _TMCT<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=true>
        constexpr tuple(tuple<_UElements...>&& __in)
        : _Inherited(static_cast<_Tuple_impl<0, _UElements...>&&>(__in)) { }

      template<typename... _UElements, typename _Dummy = void, typename
        enable_if<_TMCT<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && !_TMCT<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=false>
        explicit 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, typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_Elements...>()
                 && _TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_Elements...>(),
               bool>::type=true>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _Elements&... __elements)
 : _Inherited(__tag, __a, __elements...) { }

      template<typename _Alloc, typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_Elements...>()
                 && !_TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_Elements...>(),
               bool>::type=false>
 explicit tuple(allocator_arg_t __tag, const _Alloc& __a,
                       const _Elements&... __elements)
 : _Inherited(__tag, __a, __elements...) { }

      template<typename _Alloc, typename... _UElements, typename
        enable_if<_TMC<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && _TMC<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>(),
        bool>::type=true>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       _UElements&&... __elements)
 : _Inherited(__tag, __a, std::forward<_UElements>(__elements)...)
        { }

      template<typename _Alloc, typename... _UElements, typename
        enable_if<_TMC<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && !_TMC<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>(),
        bool>::type=false>
 explicit 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 _Dummy = void,
        typename... _UElements, typename
        enable_if<_TMCT<_UElements...>::template
                    _ConstructibleTuple<_UElements...>()
                  && _TMCT<_UElements...>::template
                    _ImplicitlyConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=true>
 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 _Dummy = void,
        typename... _UElements, typename
        enable_if<_TMCT<_UElements...>::template
                    _ConstructibleTuple<_UElements...>()
                  && !_TMCT<_UElements...>::template
                    _ImplicitlyConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=false>
 explicit 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 _Dummy = void,
        typename... _UElements, typename
        enable_if<_TMCT<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && _TMCT<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=true>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       tuple<_UElements...>&& __in)
 : _Inherited(__tag, __a,
              static_cast<_Tuple_impl<0, _UElements...>&&>(__in))
 { }

      template<typename _Alloc, typename _Dummy = void,
        typename... _UElements, typename
        enable_if<_TMCT<_UElements...>::template
                    _MoveConstructibleTuple<_UElements...>()
                  && !_TMCT<_UElements...>::template
                    _ImplicitlyMoveConvertibleTuple<_UElements...>()
                  && _TNTC<_Dummy>::template
                    _NonNestedTuple<tuple<_UElements...>&&>(),
        bool>::type=false>
 explicit tuple(allocator_arg_t __tag, const _Alloc& __a,
       tuple<_UElements...>&& __in)
 : _Inherited(__tag, __a,
              static_cast<_Tuple_impl<0, _UElements...>&&>(__in))
 { }



      tuple&
      operator=(typename conditional<__assignable<const _Elements&...>(),
         const tuple&,
         const __nonesuch_no_braces&>::type __in)
      noexcept(__nothrow_assignable<const _Elements&...>())
      {
 this->_M_assign(__in);
 return *this;
      }

      tuple&
      operator=(typename conditional<__assignable<_Elements...>(),
         tuple&&,
         __nonesuch_no_braces&&>::type __in)
      noexcept(__nothrow_assignable<_Elements...>())
      {
 this->_M_assign(std::move(__in));
 return *this;
      }

      template<typename... _UElements>
 __enable_if_t<__assignable<const _UElements&...>(), tuple&>
 operator=(const tuple<_UElements...>& __in)
 noexcept(__nothrow_assignable<const _UElements&...>())
 {
   this->_M_assign(__in);
   return *this;
 }

      template<typename... _UElements>
 __enable_if_t<__assignable<_UElements...>(), tuple&>
 operator=(tuple<_UElements...>&& __in)
 noexcept(__nothrow_assignable<_UElements...>())
 {
   this->_M_assign(std::move(__in));
   return *this;
 }


      void
      swap(tuple& __in)
      noexcept(__and_<__is_nothrow_swappable<_Elements>...>::value)
      { _Inherited::_M_swap(__in); }
    };


  template<typename... _UTypes>
    tuple(_UTypes...) -> tuple<_UTypes...>;
  template<typename _T1, typename _T2>
    tuple(pair<_T1, _T2>) -> tuple<_T1, _T2>;
  template<typename _Alloc, typename... _UTypes>
    tuple(allocator_arg_t, _Alloc, _UTypes...) -> tuple<_UTypes...>;
  template<typename _Alloc, typename _T1, typename _T2>
    tuple(allocator_arg_t, _Alloc, pair<_T1, _T2>) -> tuple<_T1, _T2>;
  template<typename _Alloc, typename... _UTypes>
    tuple(allocator_arg_t, _Alloc, tuple<_UTypes...>) -> tuple<_UTypes...>;



  template<>
    class tuple<>
    {
    public:
      void swap(tuple&) noexcept { }


      tuple() = default;

      template<typename _Alloc>
 tuple(allocator_arg_t, const _Alloc&) { }
      template<typename _Alloc>
 tuple(allocator_arg_t, const _Alloc&, const tuple&) { }
    };



  template<typename _T1, typename _T2>
    class tuple<_T1, _T2> : public _Tuple_impl<0, _T1, _T2>
    {
      typedef _Tuple_impl<0, _T1, _T2> _Inherited;

      template<typename _U1, typename _U2>
 static constexpr bool __assignable()
 {
   return __and_<is_assignable<_T1&, _U1>,
   is_assignable<_T2&, _U2>>::value;
 }

      template<typename _U1, typename _U2>
 static constexpr bool __nothrow_assignable()
 {
   return __and_<is_nothrow_assignable<_T1&, _U1>,
   is_nothrow_assignable<_T2&, _U2>>::value;
 }

    public:
      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>
 constexpr tuple()
 : _Inherited() { }

      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<
                  __and_<
                    is_default_constructible<_U1>,
                    is_default_constructible<_U2>,
                    __not_<
                      __and_<__is_implicitly_default_constructible<_U1>,
                             __is_implicitly_default_constructible<_U2>>>>
                  ::value, bool>::type = false>
 explicit constexpr tuple()
 : _Inherited() { }



      template<typename _Dummy> using _TCC =
        _TC<is_same<_Dummy, void>::value, _T1, _T2>;

      template<typename _Dummy = void, typename
               enable_if<_TCC<_Dummy>::template
                           _ConstructibleTuple<_T1, _T2>()
                         && _TCC<_Dummy>::template
                           _ImplicitlyConvertibleTuple<_T1, _T2>(),
 bool>::type = true>
        constexpr tuple(const _T1& __a1, const _T2& __a2)
        : _Inherited(__a1, __a2) { }

      template<typename _Dummy = void, typename
               enable_if<_TCC<_Dummy>::template
                           _ConstructibleTuple<_T1, _T2>()
                         && !_TCC<_Dummy>::template
                           _ImplicitlyConvertibleTuple<_T1, _T2>(),
 bool>::type = false>
        explicit constexpr tuple(const _T1& __a1, const _T2& __a2)
        : _Inherited(__a1, __a2) { }



      using _TMC = _TC<true, _T1, _T2>;

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>()
           && !is_same<__remove_cvref_t<_U1>, allocator_arg_t>::value,
 bool>::type = true>
        constexpr tuple(_U1&& __a1, _U2&& __a2)
 : _Inherited(std::forward<_U1>(__a1), std::forward<_U2>(__a2)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>()
           && !is_same<__remove_cvref_t<_U1>, allocator_arg_t>::value,
 bool>::type = false>
        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
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        constexpr tuple(const tuple<_U1, _U2>& __in)
 : _Inherited(static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit constexpr tuple(const tuple<_U1, _U2>& __in)
 : _Inherited(static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        constexpr tuple(tuple<_U1, _U2>&& __in)
 : _Inherited(static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit constexpr tuple(tuple<_U1, _U2>&& __in)
 : _Inherited(static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        constexpr tuple(const pair<_U1, _U2>& __in)
 : _Inherited(__in.first, __in.second) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit constexpr tuple(const pair<_U1, _U2>& __in)
 : _Inherited(__in.first, __in.second) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        constexpr tuple(pair<_U1, _U2>&& __in)
 : _Inherited(std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit 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, typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_T1, _T2>()
                 && _TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_T1, _T2>(),
               bool>::type=true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _T1& __a1, const _T2& __a2)
 : _Inherited(__tag, __a, __a1, __a2) { }

      template<typename _Alloc, typename _Dummy = void,
               typename enable_if<
                 _TCC<_Dummy>::template
                   _ConstructibleTuple<_T1, _T2>()
                 && !_TCC<_Dummy>::template
                   _ImplicitlyConvertibleTuple<_T1, _T2>(),
               bool>::type=false>

 explicit 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, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
 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, typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
 explicit 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, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
 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, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
 explicit 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, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
 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, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
 explicit 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, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        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, typename
        enable_if<_TMC::template
                    _ConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit 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, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && _TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = true>
        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)) { }

      template<typename _Alloc, typename _U1, typename _U2, typename
        enable_if<_TMC::template
                    _MoveConstructibleTuple<_U1, _U2>()
                  && !_TMC::template
                    _ImplicitlyMoveConvertibleTuple<_U1, _U2>(),
 bool>::type = false>
        explicit 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=(typename conditional<__assignable<const _T1&, const _T2&>(),
         const tuple&,
         const __nonesuch_no_braces&>::type __in)
      noexcept(__nothrow_assignable<const _T1&, const _T2&>())
      {
 this->_M_assign(__in);
 return *this;
      }

      tuple&
      operator=(typename conditional<__assignable<_T1, _T2>(),
         tuple&&,
         __nonesuch_no_braces&&>::type __in)
      noexcept(__nothrow_assignable<_T1, _T2>())
      {
 this->_M_assign(std::move(__in));
 return *this;
      }

      template<typename _U1, typename _U2>
 __enable_if_t<__assignable<const _U1&, const _U2&>(), tuple&>
 operator=(const tuple<_U1, _U2>& __in)
 noexcept(__nothrow_assignable<const _U1&, const _U2&>())
 {
   this->_M_assign(__in);
   return *this;
 }

      template<typename _U1, typename _U2>
 __enable_if_t<__assignable<_U1, _U2>(), tuple&>
 operator=(tuple<_U1, _U2>&& __in)
 noexcept(__nothrow_assignable<_U1, _U2>())
 {
   this->_M_assign(std::move(__in));
   return *this;
 }

      template<typename _U1, typename _U2>
 __enable_if_t<__assignable<const _U1&, const _U2&>(), tuple&>
 operator=(const pair<_U1, _U2>& __in)
 noexcept(__nothrow_assignable<const _U1&, const _U2&>())
 {
   this->_M_head(*this) = __in.first;
   this->_M_tail(*this)._M_head(*this) = __in.second;
   return *this;
 }

      template<typename _U1, typename _U2>
 __enable_if_t<__assignable<_U1, _U2>(), tuple&>
 operator=(pair<_U1, _U2>&& __in)
 noexcept(__nothrow_assignable<_U1, _U2>())
 {
   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(__and_<__is_nothrow_swappable<_T1>,
        __is_nothrow_swappable<_T2>>::value)
      { _Inherited::_M_swap(__in); }
    };



  template<typename... _Elements>
    struct tuple_size<tuple<_Elements...>>
    : public integral_constant<std::size_t, sizeof...(_Elements)> { };


  template <typename _Tp>
    inline constexpr size_t tuple_size_v = tuple_size<_Tp>::value;






  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<size_t __i>
    struct tuple_element<__i, tuple<>>
    {
      static_assert(__i < tuple_size<tuple<>>::value,
   "tuple index is in range");
    };

  template<std::size_t __i, typename _Head, typename... _Tail>
    constexpr _Head&
    __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 const _Head&
    __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 __tuple_element_t<__i, tuple<_Elements...>>&
    get(tuple<_Elements...>& __t) noexcept
    { return std::__get_helper<__i>(__t); }


  template<std::size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&
    get(const tuple<_Elements...>& __t) noexcept
    { return std::__get_helper<__i>(__t); }


  template<std::size_t __i, typename... _Elements>
    constexpr __tuple_element_t<__i, tuple<_Elements...>>&&
    get(tuple<_Elements...>&& __t) noexcept
    {
      typedef __tuple_element_t<__i, tuple<_Elements...>> __element_type;
      return std::forward<__element_type&&>(std::get<__i>(__t));
    }


  template<std::size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&&
    get(const tuple<_Elements...>&& __t) noexcept
    {
      typedef __tuple_element_t<__i, tuple<_Elements...>> __element_type;
      return std::forward<const __element_type&&>(std::get<__i>(__t));
    }





  template<typename _Head, size_t __i, typename... _Tail>
    constexpr _Head&
    __get_helper2(_Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }

  template<typename _Head, size_t __i, typename... _Tail>
    constexpr const _Head&
    __get_helper2(const _Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }


  template <typename _Tp, typename... _Types>
    constexpr _Tp&
    get(tuple<_Types...>& __t) noexcept
    { return std::__get_helper2<_Tp>(__t); }


  template <typename _Tp, typename... _Types>
    constexpr _Tp&&
    get(tuple<_Types...>&& __t) noexcept
    { return std::forward<_Tp&&>(std::__get_helper2<_Tp>(__t)); }


  template <typename _Tp, typename... _Types>
    constexpr const _Tp&
    get(const tuple<_Types...>& __t) noexcept
    { return std::__get_helper2<_Tp>(__t); }



  template <typename _Tp, typename... _Types>
    constexpr const _Tp&&
    get(const tuple<_Types...>&& __t) noexcept
    { return std::forward<const _Tp&&>(std::__get_helper2<_Tp>(__t)); }



  template<typename _Tp, typename _Up, size_t __i, size_t __size>
    struct __tuple_compare
    {
      static constexpr bool
      __eq(const _Tp& __t, const _Up& __u)
      {
 return bool(std::get<__i>(__t) == std::get<__i>(__u))
   && __tuple_compare<_Tp, _Up, __i + 1, __size>::__eq(__t, __u);
      }

      static constexpr bool
      __less(const _Tp& __t, const _Up& __u)
      {
 return bool(std::get<__i>(__t) < std::get<__i>(__u))
   || (!bool(std::get<__i>(__u) < std::get<__i>(__t))
       && __tuple_compare<_Tp, _Up, __i + 1, __size>::__less(__t, __u));
      }
    };

  template<typename _Tp, typename _Up, size_t __size>
    struct __tuple_compare<_Tp, _Up, __size, __size>
    {
      static constexpr bool
      __eq(const _Tp&, const _Up&) { return true; }

      static constexpr bool
      __less(const _Tp&, const _Up&) { return false; }
    };

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator==(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    {
      static_assert(sizeof...(_TElements) == sizeof...(_UElements),
   "tuple objects can only be compared if they have equal sizes.");
      using __compare = __tuple_compare<tuple<_TElements...>,
     tuple<_UElements...>,
     0, sizeof...(_TElements)>;
      return __compare::__eq(__t, __u);
    }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator<(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    {
      static_assert(sizeof...(_TElements) == sizeof...(_UElements),
   "tuple objects can only be compared if they have equal sizes.");
      using __compare = __tuple_compare<tuple<_TElements...>,
     tuple<_UElements...>,
     0, sizeof...(_TElements)>;
      return __compare::__less(__t, __u);
    }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator!=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__t == __u); }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator>(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    { return __u < __t; }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator<=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__u < __t); }

  template<typename... _TElements, typename... _UElements>
    constexpr 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<size_t, typename, typename, size_t>
    struct __make_tuple_impl;

  template<size_t _Idx, typename _Tuple, typename... _Tp, size_t _Nm>
    struct __make_tuple_impl<_Idx, tuple<_Tp...>, _Tuple, _Nm>
    : __make_tuple_impl<_Idx + 1,
   tuple<_Tp..., __tuple_element_t<_Idx, _Tuple>>,
   _Tuple, _Nm>
    { };

  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
    : __make_tuple_impl<0, tuple<>, _Tuple, std::tuple_size<_Tuple>::value>
    { };


  template<typename _Tuple>
    struct __make_tuple
    : public __do_make_tuple<__remove_cvref_t<_Tuple>>
    { };


  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>
    constexpr tuple<_Elements&...>
    tie(_Elements&... __args) noexcept
    { return tuple<_Elements&...>(__args...); }


  template<typename... _Elements>
    inline


    typename enable_if<__and_<__is_swappable<_Elements>...>::value
      >::type



    swap(tuple<_Elements...>& __x, tuple<_Elements...>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


  template<typename... _Elements>
    typename enable_if<!__and_<__is_swappable<_Elements>...>::value>::type
    swap(tuple<_Elements...>&, tuple<_Elements...>&) = delete;






  struct _Swallow_assign
  {
    template<class _Tp>
      constexpr const _Swallow_assign&
      operator=(const _Tp&) const
      { return *this; }
  };



  inline constexpr _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))...)
      { }




  template <typename _Fn, typename _Tuple, size_t... _Idx>
    constexpr decltype(auto)
    __apply_impl(_Fn&& __f, _Tuple&& __t, index_sequence<_Idx...>)
    {
      return std::__invoke(std::forward<_Fn>(__f),
      std::get<_Idx>(std::forward<_Tuple>(__t))...);
    }

  template <typename _Fn, typename _Tuple>
    constexpr decltype(auto)
    apply(_Fn&& __f, _Tuple&& __t)
    {
      using _Indices = make_index_sequence<tuple_size_v<decay_t<_Tuple>>>;
      return std::__apply_impl(std::forward<_Fn>(__f),
          std::forward<_Tuple>(__t),
          _Indices{});
    }



  template <typename _Tp, typename _Tuple, size_t... _Idx>
    constexpr _Tp
    __make_from_tuple_impl(_Tuple&& __t, index_sequence<_Idx...>)
    { return _Tp(std::get<_Idx>(std::forward<_Tuple>(__t))...); }

  template <typename _Tp, typename _Tuple>
    constexpr _Tp
    make_from_tuple(_Tuple&& __t)
    {
      return __make_from_tuple_impl<_Tp>(
        std::forward<_Tuple>(__t),
 make_index_sequence<tuple_size_v<decay_t<_Tuple>>>{});
    }





}
# 38 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 2 3



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








#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
  template<typename> class auto_ptr;
#pragma GCC diagnostic pop



  template<typename _Tp>
    struct default_delete
    {

      constexpr default_delete() noexcept = default;






      template<typename _Up, typename = typename
        enable_if<is_convertible<_Up*, _Tp*>::value>::type>
        default_delete(const default_delete<_Up>&) noexcept { }


      void
      operator()(_Tp* __ptr) const
      {
 static_assert(!is_void<_Tp>::value,
        "can't delete pointer to incomplete type");
 static_assert(sizeof(_Tp)>0,
        "can't delete pointer to incomplete type");
 delete __ptr;
      }
    };




  template<typename _Tp>
    struct default_delete<_Tp[]>
    {
    public:

      constexpr default_delete() noexcept = default;
# 104 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up, typename = typename
        enable_if<is_convertible<_Up(*)[], _Tp(*)[]>::value>::type>
        default_delete(const default_delete<_Up[]>&) noexcept { }


      template<typename _Up>
      typename enable_if<is_convertible<_Up(*)[], _Tp(*)[]>::value>::type
 operator()(_Up* __ptr) const
      {
 static_assert(sizeof(_Tp)>0,
        "can't delete pointer to incomplete type");
 delete [] __ptr;
      }
    };

  template <typename _Tp, typename _Dp>
    class __uniq_ptr_impl
    {
      template <typename _Up, typename _Ep, typename = void>
 struct _Ptr
 {
   using type = _Up*;
 };

      template <typename _Up, typename _Ep>
 struct
 _Ptr<_Up, _Ep, __void_t<typename remove_reference<_Ep>::type::pointer>>
 {
   using type = typename remove_reference<_Ep>::type::pointer;
 };

    public:
      using _DeleterConstraint = enable_if<
        __and_<__not_<is_pointer<_Dp>>,
        is_default_constructible<_Dp>>::value>;

      using pointer = typename _Ptr<_Tp, _Dp>::type;

      static_assert( !is_rvalue_reference<_Dp>::value,
       "unique_ptr's deleter type must be a function object type"
       " or an lvalue reference type" );

      __uniq_ptr_impl() = default;
      __uniq_ptr_impl(pointer __p) : _M_t() { _M_ptr() = __p; }

      template<typename _Del>
      __uniq_ptr_impl(pointer __p, _Del&& __d)
 : _M_t(__p, std::forward<_Del>(__d)) { }

      pointer& _M_ptr() { return std::get<0>(_M_t); }
      pointer _M_ptr() const { return std::get<0>(_M_t); }
      _Dp& _M_deleter() { return std::get<1>(_M_t); }
      const _Dp& _M_deleter() const { return std::get<1>(_M_t); }

    private:
      tuple<pointer, _Dp> _M_t;
    };


  template <typename _Tp, typename _Dp = default_delete<_Tp>>
    class unique_ptr
    {
      template <typename _Up>
 using _DeleterConstraint =
   typename __uniq_ptr_impl<_Tp, _Up>::_DeleterConstraint::type;

      __uniq_ptr_impl<_Tp, _Dp> _M_t;

    public:
      using pointer = typename __uniq_ptr_impl<_Tp, _Dp>::pointer;
      using element_type = _Tp;
      using deleter_type = _Dp;

    private:


      template<typename _Up, typename _Ep>
 using __safe_conversion_up = __and_<
         is_convertible<typename unique_ptr<_Up, _Ep>::pointer, pointer>,
                __not_<is_array<_Up>>,
                __or_<__and_<is_reference<deleter_type>,
                             is_same<deleter_type, _Ep>>,
                      __and_<__not_<is_reference<deleter_type>>,
                             is_convertible<_Ep, deleter_type>>
                >
              >;

    public:



      template<typename _Del = _Dp, typename = _DeleterConstraint<_Del>>
 constexpr unique_ptr() noexcept
 : _M_t()
 { }







      template<typename _Del = _Dp, typename = _DeleterConstraint<_Del>>
 explicit
 unique_ptr(pointer __p) noexcept
 : _M_t(__p)
        { }
# 219 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Del = deleter_type,
        typename = _Require<is_copy_constructible<_Del>>>
 unique_ptr(pointer __p, const deleter_type& __d) noexcept
 : _M_t(__p, __d) { }
# 231 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Del = deleter_type,
        typename = _Require<is_move_constructible<_Del>>>
 unique_ptr(pointer __p,
     __enable_if_t<!is_lvalue_reference<_Del>::value,
     _Del&&> __d) noexcept
 : _M_t(__p, std::move(__d))
 { }

      template<typename _Del = deleter_type,
        typename _DelUnref = typename remove_reference<_Del>::type>
 unique_ptr(pointer,
     __enable_if_t<is_lvalue_reference<_Del>::value,
     _DelUnref&&>) = delete;


      template<typename _Del = _Dp, typename = _DeleterConstraint<_Del>>
 constexpr unique_ptr(nullptr_t) noexcept
 : _M_t()
 { }




      unique_ptr(unique_ptr&& __u) noexcept
      : _M_t(__u.release(), std::forward<deleter_type>(__u.get_deleter())) { }







      template<typename _Up, typename _Ep, typename = _Require<
               __safe_conversion_up<_Up, _Ep>,
        typename conditional<is_reference<_Dp>::value,
        is_same<_Ep, _Dp>,
        is_convertible<_Ep, _Dp>>::type>>
 unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
 : _M_t(__u.release(), std::forward<_Ep>(__u.get_deleter()))
 { }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

      template<typename _Up, typename = _Require<
        is_convertible<_Up*, _Tp*>, is_same<_Dp, default_delete<_Tp>>>>
 unique_ptr(auto_ptr<_Up>&& __u) noexcept;
#pragma GCC diagnostic pop



      ~unique_ptr() noexcept
      {
 static_assert(__is_invocable<deleter_type&, pointer>::value,
        "unique_ptr's deleter must be invocable with a pointer");
 auto& __ptr = _M_t._M_ptr();
 if (__ptr != nullptr)
   get_deleter()(std::move(__ptr));
 __ptr = pointer();
      }
# 301 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      unique_ptr&
      operator=(unique_ptr&& __u) noexcept
      {
 reset(__u.release());
 get_deleter() = std::forward<deleter_type>(__u.get_deleter());
 return *this;
      }
# 316 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up, typename _Ep>
        typename enable_if< __and_<
          __safe_conversion_up<_Up, _Ep>,
          is_assignable<deleter_type&, _Ep&&>
          >::value,
          unique_ptr&>::type
 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 add_lvalue_reference<element_type>::type
      operator*() const
      {
 ;
 return *get();
      }


      pointer
      operator->() const noexcept
      {
 ;
 return get();
      }


      pointer
      get() const noexcept
      { return _M_t._M_ptr(); }


      deleter_type&
      get_deleter() noexcept
      { return _M_t._M_deleter(); }


      const deleter_type&
      get_deleter() const noexcept
      { return _M_t._M_deleter(); }


      explicit operator bool() const noexcept
      { return get() == pointer() ? false : true; }




      pointer
      release() noexcept
      {
 pointer __p = get();
 _M_t._M_ptr() = pointer();
 return __p;
      }







      void
      reset(pointer __p = pointer()) noexcept
      {
 static_assert(__is_invocable<deleter_type&, pointer>::value,
        "unique_ptr's deleter must be invocable with a pointer");
 using std::swap;
 swap(_M_t._M_ptr(), __p);
 if (__p != pointer())
   get_deleter()(std::move(__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>
    {
      template <typename _Up>
      using _DeleterConstraint =
 typename __uniq_ptr_impl<_Tp, _Up>::_DeleterConstraint::type;

      __uniq_ptr_impl<_Tp, _Dp> _M_t;

      template<typename _Up>
 using __remove_cv = typename remove_cv<_Up>::type;


      template<typename _Up>
 using __is_derived_Tp
   = __and_< is_base_of<_Tp, _Up>,
      __not_<is_same<__remove_cv<_Tp>, __remove_cv<_Up>>> >;

    public:
      using pointer = typename __uniq_ptr_impl<_Tp, _Dp>::pointer;
      using element_type = _Tp;
      using deleter_type = _Dp;



      template<typename _Up, typename _Ep,
               typename _Up_up = unique_ptr<_Up, _Ep>,
        typename _Up_element_type = typename _Up_up::element_type>
 using __safe_conversion_up = __and_<
          is_array<_Up>,
          is_same<pointer, element_type*>,
          is_same<typename _Up_up::pointer, _Up_element_type*>,
          is_convertible<_Up_element_type(*)[], element_type(*)[]>,
          __or_<__and_<is_reference<deleter_type>, is_same<deleter_type, _Ep>>,
                __and_<__not_<is_reference<deleter_type>>,
                       is_convertible<_Ep, deleter_type>>>
        >;


      template<typename _Up>
        using __safe_conversion_raw = __and_<
          __or_<__or_<is_same<_Up, pointer>,
                      is_same<_Up, nullptr_t>>,
                __and_<is_pointer<_Up>,
                       is_same<pointer, element_type*>,
                       is_convertible<
                         typename remove_pointer<_Up>::type(*)[],
                         element_type(*)[]>
                >
          >
        >;




      template<typename _Del = _Dp, typename = _DeleterConstraint<_Del>>
 constexpr unique_ptr() noexcept
 : _M_t()
 { }
# 486 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up,
        typename _Vp = _Dp,
        typename = _DeleterConstraint<_Vp>,
        typename = typename enable_if<
                 __safe_conversion_raw<_Up>::value, bool>::type>
 explicit
 unique_ptr(_Up __p) noexcept
 : _M_t(__p)
        { }
# 504 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up, typename _Del = deleter_type,
        typename = _Require<__safe_conversion_raw<_Up>,
       is_copy_constructible<_Del>>>
      unique_ptr(_Up __p, const deleter_type& __d) noexcept
      : _M_t(__p, __d) { }
# 518 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up, typename _Del = deleter_type,
        typename = _Require<__safe_conversion_raw<_Up>,
       is_move_constructible<_Del>>>
 unique_ptr(_Up __p,
     __enable_if_t<!is_lvalue_reference<_Del>::value,
     _Del&&> __d) noexcept
 : _M_t(std::move(__p), std::move(__d))
 { }

      template<typename _Up, typename _Del = deleter_type,
        typename _DelUnref = typename remove_reference<_Del>::type,
        typename = _Require<__safe_conversion_raw<_Up>>>
 unique_ptr(_Up,
     __enable_if_t<is_lvalue_reference<_Del>::value,
     _DelUnref&&>) = delete;


      unique_ptr(unique_ptr&& __u) noexcept
      : _M_t(__u.release(), std::forward<deleter_type>(__u.get_deleter())) { }


      template<typename _Del = _Dp, typename = _DeleterConstraint<_Del>>
 constexpr unique_ptr(nullptr_t) noexcept
 : _M_t()
        { }

      template<typename _Up, typename _Ep,
        typename = _Require<__safe_conversion_up<_Up, _Ep>>>
 unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
 : _M_t(__u.release(), std::forward<_Ep>(__u.get_deleter()))
 { }


      ~unique_ptr()
      {
 auto& __ptr = _M_t._M_ptr();
 if (__ptr != nullptr)
   get_deleter()(__ptr);
 __ptr = pointer();
      }
# 567 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      unique_ptr&
      operator=(unique_ptr&& __u) noexcept
      {
 reset(__u.release());
 get_deleter() = std::forward<deleter_type>(__u.get_deleter());
 return *this;
      }
# 582 "/opt/sutton/include/c++/9.0.0/bits/unique_ptr.h" 3
      template<typename _Up, typename _Ep>
 typename
 enable_if<__and_<__safe_conversion_up<_Up, _Ep>,
                         is_assignable<deleter_type&, _Ep&&>
                  >::value,
                  unique_ptr&>::type
 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 _M_t._M_ptr(); }


      deleter_type&
      get_deleter() noexcept
      { return _M_t._M_deleter(); }


      const deleter_type&
      get_deleter() const noexcept
      { return _M_t._M_deleter(); }


      explicit operator bool() const noexcept
      { return get() == pointer() ? false : true; }




      pointer
      release() noexcept
      {
 pointer __p = get();
 _M_t._M_ptr() = pointer();
 return __p;
      }







      template <typename _Up,
                typename = _Require<
                  __or_<is_same<_Up, pointer>,
                        __and_<is_same<pointer, element_type*>,
                               is_pointer<_Up>,
                               is_convertible<
                                 typename remove_pointer<_Up>::type(*)[],
                                 element_type(*)[]
                               >
                        >
                  >
               >>
      void
      reset(_Up __p) noexcept
      {
 pointer __ptr = __p;
 using std::swap;
 swap(_M_t._M_ptr(), __ptr);
 if (__ptr != nullptr)
   get_deleter()(__ptr);
      }

      void reset(nullptr_t = nullptr) noexcept
      {
        reset(pointer());
      }


      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>
    inline


    typename enable_if<__is_swappable<_Dp>::value>::type



    swap(unique_ptr<_Tp, _Dp>& __x,
  unique_ptr<_Tp, _Dp>& __y) noexcept
    { __x.swap(__y); }


  template<typename _Tp, typename _Dp>
    typename enable_if<!__is_swappable<_Dp>::value>::type
    swap(unique_ptr<_Tp, _Dp>&,
  unique_ptr<_Tp, _Dp>&) = delete;


  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>>,
    private __poison_hash<typename unique_ptr<_Tp, _Dp>::pointer>
    {
      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());
      }
    };





  template<typename _Tp>
    struct _MakeUniq
    { typedef unique_ptr<_Tp> __single_object; };

  template<typename _Tp>
    struct _MakeUniq<_Tp[]>
    { typedef unique_ptr<_Tp[]> __array; };

  template<typename _Tp, size_t _Bound>
    struct _MakeUniq<_Tp[_Bound]>
    { struct __invalid_type { }; };


  template<typename _Tp, typename... _Args>
    inline typename _MakeUniq<_Tp>::__single_object
    make_unique(_Args&&... __args)
    { return unique_ptr<_Tp>(new _Tp(std::forward<_Args>(__args)...)); }


  template<typename _Tp>
    inline typename _MakeUniq<_Tp>::__array
    make_unique(size_t __num)
    { return unique_ptr<_Tp>(new remove_extent_t<_Tp>[__num]()); }


  template<typename _Tp, typename... _Args>
    inline typename _MakeUniq<_Tp>::__invalid_type
    make_unique(_Args&&...) = delete;





}
# 81 "/opt/sutton/include/c++/9.0.0/memory" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 1 3
# 52 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 1 3
# 53 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/allocated_ptr.h" 1 3
# 40 "/opt/sutton/include/c++/9.0.0/bits/allocated_ptr.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template<typename _Alloc>
    struct __allocated_ptr
    {
      using pointer = typename allocator_traits<_Alloc>::pointer;
      using value_type = typename allocator_traits<_Alloc>::value_type;


      __allocated_ptr(_Alloc& __a, pointer __ptr) noexcept
      : _M_alloc(std::__addressof(__a)), _M_ptr(__ptr)
      { }


      template<typename _Ptr,
        typename _Req = _Require<is_same<_Ptr, value_type*>>>
      __allocated_ptr(_Alloc& __a, _Ptr __ptr)
      : _M_alloc(std::__addressof(__a)),
 _M_ptr(pointer_traits<pointer>::pointer_to(*__ptr))
      { }


      __allocated_ptr(__allocated_ptr&& __gd) noexcept
      : _M_alloc(__gd._M_alloc), _M_ptr(__gd._M_ptr)
      { __gd._M_ptr = nullptr; }


      ~__allocated_ptr()
      {
 if (_M_ptr != nullptr)
   std::allocator_traits<_Alloc>::deallocate(*_M_alloc, _M_ptr, 1);
      }


      __allocated_ptr&
      operator=(std::nullptr_t) noexcept
      {
 _M_ptr = nullptr;
 return *this;
      }


      value_type* get() { return std::__to_address(_M_ptr); }

    private:
      _Alloc* _M_alloc;
      pointer _M_ptr;
    };


  template<typename _Alloc>
    __allocated_ptr<_Alloc>
    __allocate_guarded(_Alloc& __a)
    {
      return { __a, std::allocator_traits<_Alloc>::allocate(__a, 1) };
    }


}
# 54 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/refwrap.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/refwrap.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/refwrap.h" 3
# 43 "/opt/sutton/include/c++/9.0.0/bits/refwrap.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  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 _Signature>
    struct _Mem_fn_traits;

  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Mem_fn_traits_base
    {
      using __result_type = _Res;
      using __maybe_type
 = _Maybe_unary_or_binary_function<_Res, _Class*, _ArgTypes...>;
      using __arity = integral_constant<size_t, sizeof...(_ArgTypes)>;
    };
# 97 "/opt/sutton/include/c++/9.0.0/bits/refwrap.h" 3
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) > : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) > : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const > : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const > : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile > : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile > : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile > : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile > : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) &> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) &> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const &> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const &> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile &> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile &> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile &> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile &> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) &&> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) &&> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const &&> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const &&> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile &&> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile &&> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile &&> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile &&> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };


template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) & noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) & noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const & noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const & noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile & noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile & noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile & noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile & noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) && noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) && noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const && noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const && noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile && noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile && noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile && noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile && noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };






  template<typename _Functor, typename = __void_t<>>
    struct _Maybe_get_result_type
    { };

  template<typename _Functor>
    struct _Maybe_get_result_type<_Functor,
      __void_t<typename _Functor::result_type>>
    { typedef typename _Functor::result_type result_type; };





  template<typename _Functor>
    struct _Weak_result_type_impl
    : _Maybe_get_result_type<_Functor>
    { };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(_ArgTypes...) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(_ArgTypes......) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(*)(_ArgTypes...) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct
    _Weak_result_type_impl<_Res(*)(_ArgTypes......) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Functor,
    bool = is_member_function_pointer<_Functor>::value>
    struct _Weak_result_type_memfun
    : _Weak_result_type_impl<_Functor>
    { };


  template<typename _MemFunPtr>
    struct _Weak_result_type_memfun<_MemFunPtr, true>
    {
      using result_type = typename _Mem_fn_traits<_MemFunPtr>::__result_type;
    };


  template<typename _Func, typename _Class>
    struct _Weak_result_type_memfun<_Func _Class::*, false>
    { };





  template<typename _Functor>
    struct _Weak_result_type
    : _Weak_result_type_memfun<typename remove_cv<_Functor>::type>
    { };


  template<typename _Tp, typename = __void_t<>>
    struct _Refwrap_base_arg1
    { };


  template<typename _Tp>
    struct _Refwrap_base_arg1<_Tp,
         __void_t<typename _Tp::argument_type>>
    {
      typedef typename _Tp::argument_type argument_type;
    };


  template<typename _Tp, typename = __void_t<>>
    struct _Refwrap_base_arg2
    { };


  template<typename _Tp>
    struct _Refwrap_base_arg2<_Tp,
         __void_t<typename _Tp::first_argument_type,
           typename _Tp::second_argument_type>>
    {
      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
    : _Weak_result_type<_Tp>, _Refwrap_base_arg1<_Tp>, _Refwrap_base_arg2<_Tp>
    { };


  template<typename _Res, typename _T1 , bool _NE>
    struct _Reference_wrapper_base<_Res(_T1) noexcept (_NE)>
    : 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 , bool _NE>
    struct _Reference_wrapper_base<_Res(_T1, _T2) noexcept (_NE)>
    : 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 , bool _NE>
    struct _Reference_wrapper_base<_Res(*)(_T1) noexcept (_NE)>
    : unary_function<_T1, _Res>
    { };


  template<typename _Res, typename _T1, typename _T2 , bool _NE>
    struct _Reference_wrapper_base<_Res(*)(_T1, _T2) noexcept (_NE)>
    : binary_function<_T1, _T2, _Res>
    { };

  template<typename _Tp, bool = is_member_function_pointer<_Tp>::value>
    struct _Reference_wrapper_base_memfun
    : _Reference_wrapper_base<_Tp>
    { };

  template<typename _MemFunPtr>
    struct _Reference_wrapper_base_memfun<_MemFunPtr, true>
    : _Mem_fn_traits<_MemFunPtr>::__maybe_type
    {
      using result_type = typename _Mem_fn_traits<_MemFunPtr>::__result_type;
    };






  template<typename _Tp>
    class reference_wrapper
    : public _Reference_wrapper_base_memfun<typename remove_cv<_Tp>::type>
    {
      _Tp* _M_data;

      static _Tp* _S_fun(_Tp& __r) noexcept { return std::__addressof(__r); }
      static void _S_fun(_Tp&&) = delete;

      template<typename _Up, typename _Up2 = __remove_cvref_t<_Up>>
 using __not_same
   = typename enable_if<!is_same<reference_wrapper, _Up2>::value>::type;

    public:
      typedef _Tp type;




      template<typename _Up, typename = __not_same<_Up>, typename
  = decltype(reference_wrapper::_S_fun(std::declval<_Up>()))>
 reference_wrapper(_Up&& __uref)
 noexcept(noexcept(reference_wrapper::_S_fun(std::declval<_Up>())))
 : _M_data(reference_wrapper::_S_fun(std::forward<_Up>(__uref)))
 { }

      reference_wrapper(const reference_wrapper&) = default;

      reference_wrapper&
      operator=(const reference_wrapper&) = default;

      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 std::__invoke(get(), std::forward<_Args>(__args)...);
 }
    };


  template<typename _Tp>
    reference_wrapper(_Tp&) -> reference_wrapper<_Tp>;



  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 __t; }


  template<typename _Tp>
    inline reference_wrapper<const _Tp>
    cref(reference_wrapper<_Tp> __t) noexcept
    { return { __t.get() }; }




}
# 55 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/ext/aligned_buffer.h" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/ext/aligned_buffer.h" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/ext/aligned_buffer.h" 3







namespace __gnu_cxx
{




  template<typename _Tp>
    struct __aligned_membuf
    {





      struct _Tp2 { _Tp _M_t; };

      alignas(__alignof__(_Tp2::_M_t)) unsigned char _M_storage[sizeof(_Tp)];

      __aligned_membuf() = default;


      __aligned_membuf(std::nullptr_t) { }

      void*
      _M_addr() noexcept
      { return static_cast<void*>(&_M_storage); }

      const void*
      _M_addr() const noexcept
      { return static_cast<const void*>(&_M_storage); }

      _Tp*
      _M_ptr() noexcept
      { return static_cast<_Tp*>(_M_addr()); }

      const _Tp*
      _M_ptr() const noexcept
      { return static_cast<const _Tp*>(_M_addr()); }
    };
# 89 "/opt/sutton/include/c++/9.0.0/ext/aligned_buffer.h" 3
  template<typename _Tp>
    struct __aligned_buffer
    : std::aligned_storage<sizeof(_Tp), __alignof__(_Tp)>
    {
      typename
 std::aligned_storage<sizeof(_Tp), __alignof__(_Tp)>::type _M_storage;

      __aligned_buffer() = default;


      __aligned_buffer(std::nullptr_t) { }

      void*
      _M_addr() noexcept
      {
        return static_cast<void*>(&_M_storage);
      }

      const void*
      _M_addr() const noexcept
      {
        return static_cast<const void*>(&_M_storage);
      }

      _Tp*
      _M_ptr() noexcept
      { return static_cast<_Tp*>(_M_addr()); }

      const _Tp*
      _M_ptr() const noexcept
      { return static_cast<const _Tp*>(_M_addr()); }
    };


}
# 57 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 2 3

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



#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
  template<typename> class auto_ptr;
#pragma GCC diagnostic pop






  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&) noexcept = 0;

      void
      _M_add_ref_copy()
      { __gnu_cxx::__atomic_add_dispatch(&_M_use_count, 1); }

      void
      _M_add_ref_lock();

      bool
      _M_add_ref_lock_nothrow();

      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)
       {
  __atomic_thread_fence (4);
       }


            ;
     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)
       {


  __atomic_thread_fence (4);
       }
     _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 (_M_use_count == 0)
 __throw_bad_weak_ptr();
      ++_M_use_count;
    }

  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_get_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<>
    inline bool
    _Sp_counted_base<_S_single>::
    _M_add_ref_lock_nothrow()
    {
      if (_M_use_count == 0)
 return false;
      ++_M_use_count;
      return true;
    }

  template<>
    inline bool
    _Sp_counted_base<_S_mutex>::
    _M_add_ref_lock_nothrow()
    {
      __gnu_cxx::__scoped_lock sentry(*this);
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_use_count, 1) == 0)
 {
   _M_use_count = 0;
   return false;
 }
      return true;
    }

  template<>
    inline bool
    _Sp_counted_base<_S_atomic>::
    _M_add_ref_lock_nothrow()
    {

      _Atomic_word __count = _M_get_use_count();
      do
 {
   if (__count == 0)
     return false;


 }
      while (!__atomic_compare_exchange_n(&_M_use_count, &__count, __count + 1,
       true, 4,
       0));
      return true;
    }

  template<>
    inline void
    _Sp_counted_base<_S_single>::_M_add_ref_copy()
    { ++_M_use_count; }

  template<>
    inline void
    _Sp_counted_base<_S_single>::_M_release() noexcept
    {
      if (--_M_use_count == 0)
        {
          _M_dispose();
          if (--_M_weak_count == 0)
            _M_destroy();
        }
    }

  template<>
    inline void
    _Sp_counted_base<_S_single>::_M_weak_add_ref() noexcept
    { ++_M_weak_count; }

  template<>
    inline void
    _Sp_counted_base<_S_single>::_M_weak_release() noexcept
    {
      if (--_M_weak_count == 0)
        _M_destroy();
    }

  template<>
    inline long
    _Sp_counted_base<_S_single>::_M_get_use_count() const noexcept
    { return _M_use_count; }



  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) noexcept
      : _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&) noexcept
      { return nullptr; }

      _Sp_counted_ptr(const _Sp_counted_ptr&) = delete;
      _Sp_counted_ptr& operator=(const _Sp_counted_ptr&) = delete;

    private:
      _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<int _Nm, typename _Tp,
    bool __use_ebo = !__is_final(_Tp) && __is_empty(_Tp)>
    struct _Sp_ebo_helper;


  template<int _Nm, typename _Tp>
    struct _Sp_ebo_helper<_Nm, _Tp, true> : private _Tp
    {
      explicit _Sp_ebo_helper(const _Tp& __tp) : _Tp(__tp) { }
      explicit _Sp_ebo_helper(_Tp&& __tp) : _Tp(std::move(__tp)) { }

      static _Tp&
      _S_get(_Sp_ebo_helper& __eboh) { return static_cast<_Tp&>(__eboh); }
    };


  template<int _Nm, typename _Tp>
    struct _Sp_ebo_helper<_Nm, _Tp, false>
    {
      explicit _Sp_ebo_helper(const _Tp& __tp) : _M_tp(__tp) { }
      explicit _Sp_ebo_helper(_Tp&& __tp) : _M_tp(std::move(__tp)) { }

      static _Tp&
      _S_get(_Sp_ebo_helper& __eboh)
      { return __eboh._M_tp; }

    private:
      _Tp _M_tp;
    };


  template<typename _Ptr, typename _Deleter, typename _Alloc, _Lock_policy _Lp>
    class _Sp_counted_deleter final : public _Sp_counted_base<_Lp>
    {
      class _Impl : _Sp_ebo_helper<0, _Deleter>, _Sp_ebo_helper<1, _Alloc>
      {
 typedef _Sp_ebo_helper<0, _Deleter> _Del_base;
 typedef _Sp_ebo_helper<1, _Alloc> _Alloc_base;

      public:
 _Impl(_Ptr __p, _Deleter __d, const _Alloc& __a) noexcept
 : _M_ptr(__p), _Del_base(std::move(__d)), _Alloc_base(__a)
 { }

 _Deleter& _M_del() noexcept { return _Del_base::_S_get(*this); }
 _Alloc& _M_alloc() noexcept { return _Alloc_base::_S_get(*this); }

 _Ptr _M_ptr;
      };

    public:
      using __allocator_type = __alloc_rebind<_Alloc, _Sp_counted_deleter>;


      _Sp_counted_deleter(_Ptr __p, _Deleter __d) noexcept
      : _M_impl(__p, std::move(__d), _Alloc()) { }


      _Sp_counted_deleter(_Ptr __p, _Deleter __d, const _Alloc& __a) noexcept
      : _M_impl(__p, std::move(__d), __a) { }

      ~_Sp_counted_deleter() noexcept { }

      virtual void
      _M_dispose() noexcept
      { _M_impl._M_del()(_M_impl._M_ptr); }

      virtual void
      _M_destroy() noexcept
      {
 __allocator_type __a(_M_impl._M_alloc());
 __allocated_ptr<__allocator_type> __guard_ptr{ __a, this };
 this->~_Sp_counted_deleter();
      }

      virtual void*
      _M_get_deleter(const std::type_info& __ti) noexcept
      {



        return __ti == typeid(_Deleter)
   ? std::__addressof(_M_impl._M_del())
   : nullptr;



      }

    private:
      _Impl _M_impl;
    };



  struct _Sp_make_shared_tag
  {
  private:
    template<typename _Tp, _Lock_policy _Lp>
      friend class __shared_ptr;
    template<typename _Tp, typename _Alloc, _Lock_policy _Lp>
      friend class _Sp_counted_ptr_inplace;

    static const type_info&
    _S_ti() noexcept __attribute__ ((__visibility__ ("default")))
    {
      alignas(type_info) static constexpr char __tag[sizeof(type_info)] = { };
      return reinterpret_cast<const type_info&>(__tag);
    }
  };

  template<typename _Tp, typename _Alloc, _Lock_policy _Lp>
    class _Sp_counted_ptr_inplace final : public _Sp_counted_base<_Lp>
    {
      class _Impl : _Sp_ebo_helper<0, _Alloc>
      {
 typedef _Sp_ebo_helper<0, _Alloc> _A_base;

      public:
 explicit _Impl(_Alloc __a) noexcept : _A_base(__a) { }

 _Alloc& _M_alloc() noexcept { return _A_base::_S_get(*this); }

 __gnu_cxx::__aligned_buffer<_Tp> _M_storage;
      };

    public:
      using __allocator_type = __alloc_rebind<_Alloc, _Sp_counted_ptr_inplace>;


      template<typename... _Args>
 _Sp_counted_ptr_inplace(_Alloc __a, _Args&&... __args)
 : _M_impl(__a)
 {


   allocator_traits<_Alloc>::construct(__a, _M_ptr(),
       std::forward<_Args>(__args)...);
 }

      ~_Sp_counted_ptr_inplace() noexcept { }

      virtual void
      _M_dispose() noexcept
      {
 allocator_traits<_Alloc>::destroy(_M_impl._M_alloc(), _M_ptr());
      }


      virtual void
      _M_destroy() noexcept
      {
 __allocator_type __a(_M_impl._M_alloc());
 __allocated_ptr<__allocator_type> __guard_ptr{ __a, this };
 this->~_Sp_counted_ptr_inplace();
      }


      virtual void*
      _M_get_deleter(const std::type_info& __ti) noexcept override
      {


 if (&__ti == &_Sp_make_shared_tag::_S_ti())
   return const_cast<typename remove_cv<_Tp>::type*>(_M_ptr());



 else if (__ti == typeid(_Sp_make_shared_tag))
   return const_cast<typename remove_cv<_Tp>::type*>(_M_ptr());

 return nullptr;
      }

    private:
      _Tp* _M_ptr() noexcept { return _M_impl._M_storage._M_ptr(); }

      _Impl _M_impl;
    };


  struct __sp_array_delete
  {
    template<typename _Yp>
      void operator()(_Yp* __p) const { delete[] __p; }
  };

  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>
 __shared_count(_Ptr __p, false_type)
 : __shared_count(__p)
 { }

      template<typename _Ptr>
 __shared_count(_Ptr __p, true_type)
 : __shared_count(__p, __sp_array_delete{}, allocator<void>())
 { }

      template<typename _Ptr, typename _Deleter>
 __shared_count(_Ptr __p, _Deleter __d)
 : __shared_count(__p, std::move(__d), allocator<void>())
 { }

      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;
   try
     {
       typename _Sp_cd_type::__allocator_type __a2(__a);
       auto __guard = std::__allocate_guarded(__a2);
       _Sp_cd_type* __mem = __guard.get();
       ::new (__mem) _Sp_cd_type(__p, std::move(__d), std::move(__a));
       _M_pi = __mem;
       __guard = nullptr;
     }
   catch(...)
     {
       __d(__p);
       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;
   typename _Sp_cp_type::__allocator_type __a2(__a);
   auto __guard = std::__allocate_guarded(__a2);
   _Sp_cp_type* __mem = __guard.get();
   ::new (__mem) _Sp_cp_type(__a, std::forward<_Args>(__args)...);
   _M_pi = __mem;
   __guard = nullptr;
 }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

      template<typename _Tp>
        explicit
 __shared_count(std::auto_ptr<_Tp>&& __r);
#pragma GCC diagnostic pop



      template<typename _Tp, typename _Del>
        explicit
 __shared_count(std::unique_ptr<_Tp, _Del>&& __r) : _M_pi(0)
 {


   if (__r.get() == nullptr)
     return;

   using _Ptr = typename unique_ptr<_Tp, _Del>::pointer;
   using _Del2 = typename conditional<is_reference<_Del>::value,
       reference_wrapper<typename remove_reference<_Del>::type>,
       _Del>::type;
   using _Sp_cd_type
     = _Sp_counted_deleter<_Ptr, _Del2, allocator<void>, _Lp>;
   using _Alloc = allocator<_Sp_cd_type>;
   using _Alloc_traits = allocator_traits<_Alloc>;
   _Alloc __a;
   _Sp_cd_type* __mem = _Alloc_traits::allocate(__a, 1);
   _Alloc_traits::construct(__a, __mem, __r.release(),
       __r.get_deleter());
   _M_pi = __mem;
 }


      explicit __shared_count(const __weak_count<_Lp>& __r);


      explicit __shared_count(const __weak_count<_Lp>& __r, std::nothrow_t);

      ~__shared_count() noexcept
      {
 if (_M_pi != nullptr)
   _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) : nullptr; }

      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>;

      _Sp_counted_base<_Lp>* _M_pi;
    };


  template<_Lock_policy _Lp>
    class __weak_count
    {
    public:
      constexpr __weak_count() noexcept : _M_pi(nullptr)
      { }

      __weak_count(const __shared_count<_Lp>& __r) noexcept
      : _M_pi(__r._M_pi)
      {
 if (_M_pi != nullptr)
   _M_pi->_M_weak_add_ref();
      }

      __weak_count(const __weak_count& __r) noexcept
      : _M_pi(__r._M_pi)
      {
 if (_M_pi != nullptr)
   _M_pi->_M_weak_add_ref();
      }

      __weak_count(__weak_count&& __r) noexcept
      : _M_pi(__r._M_pi)
      { __r._M_pi = nullptr; }

      ~__weak_count() noexcept
      {
 if (_M_pi != nullptr)
   _M_pi->_M_weak_release();
      }

      __weak_count&
      operator=(const __shared_count<_Lp>& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 if (__tmp != nullptr)
   __tmp->_M_weak_add_ref();
 if (_M_pi != nullptr)
   _M_pi->_M_weak_release();
 _M_pi = __tmp;
 return *this;
      }

      __weak_count&
      operator=(const __weak_count& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 if (__tmp != nullptr)
   __tmp->_M_weak_add_ref();
 if (_M_pi != nullptr)
   _M_pi->_M_weak_release();
 _M_pi = __tmp;
 return *this;
      }

      __weak_count&
      operator=(__weak_count&& __r) noexcept
      {
 if (_M_pi != nullptr)
   _M_pi->_M_weak_release();
 _M_pi = __r._M_pi;
        __r._M_pi = nullptr;
 return *this;
      }

      void
      _M_swap(__weak_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 != nullptr ? _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 != nullptr)
 _M_pi->_M_add_ref_lock();
      else
 __throw_bad_weak_ptr();
    }


  template<_Lock_policy _Lp>
    inline
    __shared_count<_Lp>::
    __shared_count(const __weak_count<_Lp>& __r, std::nothrow_t)
    : _M_pi(__r._M_pi)
    {
      if (_M_pi != nullptr)
 if (!_M_pi->_M_add_ref_lock_nothrow())
   _M_pi = nullptr;
    }







  template<typename _Yp_ptr, typename _Tp_ptr>
    struct __sp_compatible_with
    : false_type
    { };

  template<typename _Yp, typename _Tp>
    struct __sp_compatible_with<_Yp*, _Tp*>
    : is_convertible<_Yp*, _Tp*>::type
    { };

  template<typename _Up, size_t _Nm>
    struct __sp_compatible_with<_Up(*)[_Nm], _Up(*)[]>
    : true_type
    { };

  template<typename _Up, size_t _Nm>
    struct __sp_compatible_with<_Up(*)[_Nm], const _Up(*)[]>
    : true_type
    { };

  template<typename _Up, size_t _Nm>
    struct __sp_compatible_with<_Up(*)[_Nm], volatile _Up(*)[]>
    : true_type
    { };

  template<typename _Up, size_t _Nm>
    struct __sp_compatible_with<_Up(*)[_Nm], const volatile _Up(*)[]>
    : true_type
    { };


  template<typename _Up, size_t _Nm, typename _Yp, typename = void>
    struct __sp_is_constructible_arrN
    : false_type
    { };

  template<typename _Up, size_t _Nm, typename _Yp>
    struct __sp_is_constructible_arrN<_Up, _Nm, _Yp, __void_t<_Yp[_Nm]>>
    : is_convertible<_Yp(*)[_Nm], _Up(*)[_Nm]>::type
    { };


  template<typename _Up, typename _Yp, typename = void>
    struct __sp_is_constructible_arr
    : false_type
    { };

  template<typename _Up, typename _Yp>
    struct __sp_is_constructible_arr<_Up, _Yp, __void_t<_Yp[]>>
    : is_convertible<_Yp(*)[], _Up(*)[]>::type
    { };


  template<typename _Tp, typename _Yp>
    struct __sp_is_constructible;


  template<typename _Up, size_t _Nm, typename _Yp>
    struct __sp_is_constructible<_Up[_Nm], _Yp>
    : __sp_is_constructible_arrN<_Up, _Nm, _Yp>::type
    { };


  template<typename _Up, typename _Yp>
    struct __sp_is_constructible<_Up[], _Yp>
    : __sp_is_constructible_arr<_Up, _Yp>::type
    { };


  template<typename _Tp, typename _Yp>
    struct __sp_is_constructible
    : is_convertible<_Yp*, _Tp*>::type
    { };



  template<typename _Tp, _Lock_policy _Lp,
    bool = is_array<_Tp>::value, bool = is_void<_Tp>::value>
    class __shared_ptr_access
    {
    public:
      using element_type = _Tp;

      element_type&
      operator*() const noexcept
      {
 ;
 return *_M_get();
      }

      element_type*
      operator->() const noexcept
      {
 ;
 return _M_get();
      }

    private:
      element_type*
      _M_get() const noexcept
      { return static_cast<const __shared_ptr<_Tp, _Lp>*>(this)->get(); }
    };


  template<typename _Tp, _Lock_policy _Lp>
    class __shared_ptr_access<_Tp, _Lp, false, true>
    {
    public:
      using element_type = _Tp;

      element_type*
      operator->() const noexcept
      {
 auto __ptr = static_cast<const __shared_ptr<_Tp, _Lp>*>(this)->get();
 ;
 return __ptr;
      }
    };


  template<typename _Tp, _Lock_policy _Lp>
    class __shared_ptr_access<_Tp, _Lp, true, false>
    {
    public:
      using element_type = typename remove_extent<_Tp>::type;
# 1043 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 3
      element_type&
      operator[](ptrdiff_t __i) const
      {
 ;
 ;
 return _M_get()[__i];
      }

    private:
      element_type*
      _M_get() const noexcept
      { return static_cast<const __shared_ptr<_Tp, _Lp>*>(this)->get(); }
    };

  template<typename _Tp, _Lock_policy _Lp>
    class __shared_ptr
    : public __shared_ptr_access<_Tp, _Lp>
    {
    public:
      using element_type = typename remove_extent<_Tp>::type;

    private:

      template<typename _Yp>
 using _SafeConv
   = typename enable_if<__sp_is_constructible<_Tp, _Yp>::value>::type;


      template<typename _Yp, typename _Res = void>
 using _Compatible = typename
   enable_if<__sp_compatible_with<_Yp*, _Tp*>::value, _Res>::type;


      template<typename _Yp>
 using _Assignable = _Compatible<_Yp, __shared_ptr&>;


      template<typename _Yp, typename _Del, typename _Res = void,
        typename _Ptr = typename unique_ptr<_Yp, _Del>::pointer>
 using _UniqCompatible = typename enable_if<__and_<
   __sp_compatible_with<_Yp*, _Tp*>, is_convertible<_Ptr, element_type*>
   >::value, _Res>::type;


      template<typename _Yp, typename _Del>
 using _UniqAssignable = _UniqCompatible<_Yp, _Del, __shared_ptr&>;

    public:


      using weak_type = __weak_ptr<_Tp, _Lp>;


      constexpr __shared_ptr() noexcept
      : _M_ptr(0), _M_refcount()
      { }

      template<typename _Yp, typename = _SafeConv<_Yp>>
 explicit
 __shared_ptr(_Yp* __p)
 : _M_ptr(__p), _M_refcount(__p, typename is_array<_Tp>::type())
 {
   static_assert( !is_void<_Yp>::value, "incomplete type" );
   static_assert( sizeof(_Yp) > 0, "incomplete type" );
   _M_enable_shared_from_this_with(__p);
 }

      template<typename _Yp, typename _Deleter, typename = _SafeConv<_Yp>>
 __shared_ptr(_Yp* __p, _Deleter __d)
 : _M_ptr(__p), _M_refcount(__p, std::move(__d))
 {
   static_assert(__is_invocable<_Deleter&, _Yp*&>::value,
       "deleter expression d(p) is well-formed");
   _M_enable_shared_from_this_with(__p);
 }

      template<typename _Yp, typename _Deleter, typename _Alloc,
        typename = _SafeConv<_Yp>>
 __shared_ptr(_Yp* __p, _Deleter __d, _Alloc __a)
 : _M_ptr(__p), _M_refcount(__p, std::move(__d), std::move(__a))
 {
   static_assert(__is_invocable<_Deleter&, _Yp*&>::value,
       "deleter expression d(p) is well-formed");
   _M_enable_shared_from_this_with(__p);
 }

      template<typename _Deleter>
 __shared_ptr(nullptr_t __p, _Deleter __d)
 : _M_ptr(0), _M_refcount(__p, std::move(__d))
 { }

      template<typename _Deleter, typename _Alloc>
        __shared_ptr(nullptr_t __p, _Deleter __d, _Alloc __a)
 : _M_ptr(0), _M_refcount(__p, std::move(__d), std::move(__a))
 { }

      template<typename _Yp>
 __shared_ptr(const __shared_ptr<_Yp, _Lp>& __r,
       element_type* __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 _Yp, typename = _Compatible<_Yp>>
 __shared_ptr(const __shared_ptr<_Yp, _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 _Yp, typename = _Compatible<_Yp>>
 __shared_ptr(__shared_ptr<_Yp, _Lp>&& __r) noexcept
 : _M_ptr(__r._M_ptr), _M_refcount()
 {
   _M_refcount._M_swap(__r._M_refcount);
   __r._M_ptr = 0;
 }

      template<typename _Yp, typename = _Compatible<_Yp>>
 explicit __shared_ptr(const __weak_ptr<_Yp, _Lp>& __r)
 : _M_refcount(__r._M_refcount)
 {


   _M_ptr = __r._M_ptr;
 }


      template<typename _Yp, typename _Del,
        typename = _UniqCompatible<_Yp, _Del>>
 __shared_ptr(unique_ptr<_Yp, _Del>&& __r)
 : _M_ptr(__r.get()), _M_refcount()
 {
   auto __raw = __to_address(__r.get());
   _M_refcount = __shared_count<_Lp>(std::move(__r));
   _M_enable_shared_from_this_with(__raw);
 }
# 1208 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

      template<typename _Yp, typename = _Compatible<_Yp>>
 __shared_ptr(auto_ptr<_Yp>&& __r);
#pragma GCC diagnostic pop


      constexpr __shared_ptr(nullptr_t) noexcept : __shared_ptr() { }

      template<typename _Yp>
 _Assignable<_Yp>
 operator=(const __shared_ptr<_Yp, _Lp>& __r) noexcept
 {
   _M_ptr = __r._M_ptr;
   _M_refcount = __r._M_refcount;
   return *this;
 }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
      template<typename _Yp>
 _Assignable<_Yp>
 operator=(auto_ptr<_Yp>&& __r)
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }
#pragma GCC diagnostic pop


      __shared_ptr&
      operator=(__shared_ptr&& __r) noexcept
      {
 __shared_ptr(std::move(__r)).swap(*this);
 return *this;
      }

      template<class _Yp>
 _Assignable<_Yp>
 operator=(__shared_ptr<_Yp, _Lp>&& __r) noexcept
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }

      template<typename _Yp, typename _Del>
 _UniqAssignable<_Yp, _Del>
 operator=(unique_ptr<_Yp, _Del>&& __r)
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }

      void
      reset() noexcept
      { __shared_ptr().swap(*this); }

      template<typename _Yp>
 _SafeConv<_Yp>
 reset(_Yp* __p)
 {

   ;
   __shared_ptr(__p).swap(*this);
 }

      template<typename _Yp, typename _Deleter>
 _SafeConv<_Yp>
 reset(_Yp* __p, _Deleter __d)
 { __shared_ptr(__p, std::move(__d)).swap(*this); }

      template<typename _Yp, typename _Deleter, typename _Alloc>
 _SafeConv<_Yp>
 reset(_Yp* __p, _Deleter __d, _Alloc __a)
        { __shared_ptr(__p, std::move(__d), std::move(__a)).swap(*this); }

      element_type*
      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 noexcept
 { return _M_refcount._M_less(__rhs._M_refcount); }

      template<typename _Tp1>
 bool
 owner_before(__weak_ptr<_Tp1, _Lp> const& __rhs) const noexcept
 { 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(_Sp_make_shared_tag::_S_ti());
   _M_ptr = static_cast<_Tp*>(__p);
   _M_enable_shared_from_this_with(_M_ptr);
 }

      template<typename _Tp1, _Lock_policy _Lp1, typename _Alloc,
        typename... _Args>
 friend __shared_ptr<_Tp1, _Lp1>
 __allocate_shared(const _Alloc& __a, _Args&&... __args);



      __shared_ptr(const __weak_ptr<_Tp, _Lp>& __r, std::nothrow_t)
      : _M_refcount(__r._M_refcount, std::nothrow)
      {
 _M_ptr = _M_refcount._M_get_use_count() ? __r._M_ptr : nullptr;
      }

      friend class __weak_ptr<_Tp, _Lp>;

    private:

      template<typename _Yp>
 using __esft_base_t = decltype(__enable_shared_from_this_base(
       std::declval<const __shared_count<_Lp>&>(),
       std::declval<_Yp*>()));


      template<typename _Yp, typename = void>
 struct __has_esft_base
 : false_type { };

      template<typename _Yp>
 struct __has_esft_base<_Yp, __void_t<__esft_base_t<_Yp>>>
 : __not_<is_array<_Tp>> { };

      template<typename _Yp, typename _Yp2 = typename remove_cv<_Yp>::type>
 typename enable_if<__has_esft_base<_Yp2>::value>::type
 _M_enable_shared_from_this_with(_Yp* __p) noexcept
 {
   if (auto __base = __enable_shared_from_this_base(_M_refcount, __p))
     __base->_M_weak_assign(const_cast<_Yp2*>(__p), _M_refcount);
 }

      template<typename _Yp, typename _Yp2 = typename remove_cv<_Yp>::type>
 typename enable_if<!__has_esft_base<_Yp2>::value>::type
 _M_enable_shared_from_this_with(_Yp*) noexcept
 { }

      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;

      template<typename _Del, typename _Tp1>
 friend _Del* get_deleter(const shared_ptr<_Tp1>&) noexcept;

      element_type* _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 _Tp, typename _Up, _Lock_policy _Lp>
    inline bool
    operator<(const __shared_ptr<_Tp, _Lp>& __a,
       const __shared_ptr<_Up, _Lp>& __b) noexcept
    {
      using _Tp_elt = typename __shared_ptr<_Tp, _Lp>::element_type;
      using _Up_elt = typename __shared_ptr<_Up, _Lp>::element_type;
      using _Vp = typename common_type<_Tp_elt*, _Up_elt*>::type;
      return less<_Vp>()(__a.get(), __b.get());
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    {
      using _Tp_elt = typename __shared_ptr<_Tp, _Lp>::element_type;
      return less<_Tp_elt*>()(__a.get(), nullptr);
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    {
      using _Tp_elt = typename __shared_ptr<_Tp, _Lp>::element_type;
      return less<_Tp_elt*>()(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 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 !(__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 _Tp, _Lock_policy _Lp>
    inline void
    swap(__shared_ptr<_Tp, _Lp>& __a, __shared_ptr<_Tp, _Lp>& __b) noexcept
    { __a.swap(__b); }
# 1516 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 3
  template<typename _Tp, typename _Tp1, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    static_pointer_cast(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
    {
      using _Sp = __shared_ptr<_Tp, _Lp>;
      return _Sp(__r, static_cast<typename _Sp::element_type*>(__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
    {
      using _Sp = __shared_ptr<_Tp, _Lp>;
      return _Sp(__r, const_cast<typename _Sp::element_type*>(__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
    {
      using _Sp = __shared_ptr<_Tp, _Lp>;
      if (auto* __p = dynamic_cast<typename _Sp::element_type*>(__r.get()))
 return _Sp(__r, __p);
      return _Sp();
    }


  template<typename _Tp, typename _Tp1, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    reinterpret_pointer_cast(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
    {
      using _Sp = __shared_ptr<_Tp, _Lp>;
      return _Sp(__r, reinterpret_cast<typename _Sp::element_type*>(__r.get()));
    }


  template<typename _Tp, _Lock_policy _Lp>
    class __weak_ptr
    {
      template<typename _Yp, typename _Res = void>
 using _Compatible = typename
   enable_if<__sp_compatible_with<_Yp*, _Tp*>::value, _Res>::type;


      template<typename _Yp>
 using _Assignable = _Compatible<_Yp, __weak_ptr&>;

    public:
      using element_type = typename remove_extent<_Tp>::type;

      constexpr __weak_ptr() noexcept
      : _M_ptr(nullptr), _M_refcount()
      { }

      __weak_ptr(const __weak_ptr&) noexcept = default;

      ~__weak_ptr() = default;
# 1598 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_base.h" 3
      template<typename _Yp, typename = _Compatible<_Yp>>
 __weak_ptr(const __weak_ptr<_Yp, _Lp>& __r) noexcept
 : _M_refcount(__r._M_refcount)
        { _M_ptr = __r.lock().get(); }

      template<typename _Yp, typename = _Compatible<_Yp>>
 __weak_ptr(const __shared_ptr<_Yp, _Lp>& __r) noexcept
 : _M_ptr(__r._M_ptr), _M_refcount(__r._M_refcount)
 { }

      __weak_ptr(__weak_ptr&& __r) noexcept
      : _M_ptr(__r._M_ptr), _M_refcount(std::move(__r._M_refcount))
      { __r._M_ptr = nullptr; }

      template<typename _Yp, typename = _Compatible<_Yp>>
 __weak_ptr(__weak_ptr<_Yp, _Lp>&& __r) noexcept
 : _M_ptr(__r.lock().get()), _M_refcount(std::move(__r._M_refcount))
        { __r._M_ptr = nullptr; }

      __weak_ptr&
      operator=(const __weak_ptr& __r) noexcept = default;

      template<typename _Yp>
 _Assignable<_Yp>
 operator=(const __weak_ptr<_Yp, _Lp>& __r) noexcept
 {
   _M_ptr = __r.lock().get();
   _M_refcount = __r._M_refcount;
   return *this;
 }

      template<typename _Yp>
 _Assignable<_Yp>
 operator=(const __shared_ptr<_Yp, _Lp>& __r) noexcept
 {
   _M_ptr = __r._M_ptr;
   _M_refcount = __r._M_refcount;
   return *this;
 }

      __weak_ptr&
      operator=(__weak_ptr&& __r) noexcept
      {
 _M_ptr = __r._M_ptr;
 _M_refcount = std::move(__r._M_refcount);
 __r._M_ptr = nullptr;
 return *this;
      }

      template<typename _Yp>
 _Assignable<_Yp>
 operator=(__weak_ptr<_Yp, _Lp>&& __r) noexcept
 {
   _M_ptr = __r.lock().get();
   _M_refcount = std::move(__r._M_refcount);
   __r._M_ptr = nullptr;
   return *this;
 }

      __shared_ptr<_Tp, _Lp>
      lock() const noexcept
      { return __shared_ptr<element_type, _Lp>(*this, std::nothrow); }

      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 noexcept
 { return _M_refcount._M_less(__rhs._M_refcount); }

      template<typename _Tp1>
 bool
 owner_before(const __weak_ptr<_Tp1, _Lp>& __rhs) const noexcept
 { 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
      {
 if (use_count() == 0)
   {
     _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>;

      element_type* _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 noexcept
      { return __lhs.owner_before(__rhs); }

      bool
      operator()(const _Tp& __lhs, const _Tp1& __rhs) const noexcept
      { return __lhs.owner_before(__rhs); }

      bool
      operator()(const _Tp1& __lhs, const _Tp& __rhs) const noexcept
      { return __lhs.owner_before(__rhs); }
    };

  template<>
    struct _Sp_owner_less<void, void>
    {
      template<typename _Tp, typename _Up>
 auto
 operator()(const _Tp& __lhs, const _Up& __rhs) const noexcept
 -> decltype(__lhs.owner_before(__rhs))
 { return __lhs.owner_before(__rhs); }

      using is_transparent = void;
    };

  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); }


      __weak_ptr<_Tp, _Lp>
      weak_from_this() noexcept
      { return this->_M_weak_this; }

      __weak_ptr<const _Tp, _Lp>
      weak_from_this() const noexcept
      { return 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); }

      friend const __enable_shared_from_this*
      __enable_shared_from_this_base(const __shared_count<_Lp>&,
         const __enable_shared_from_this* __p)
      { return __p; }

      template<typename, _Lock_policy>
 friend class __shared_ptr;

      mutable __weak_ptr<_Tp, _Lp> _M_weak_this;
    };

  template<typename _Tp, _Lock_policy _Lp = __default_lock_policy,
    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 = __default_lock_policy,
    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 hash<typename __shared_ptr<_Tp, _Lp>::element_type*>()(
     __s.get());
      }
    };


}
# 53 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 2 3

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 _Del, typename _Tp>
    inline _Del*
    get_deleter(const shared_ptr<_Tp>& __p) noexcept
    {

      return static_cast<_Del*>(__p._M_get_deleter(typeid(_Del)));



    }







  template<typename _Tp>
    class shared_ptr : public __shared_ptr<_Tp>
    {
      template<typename... _Args>
 using _Constructible = typename enable_if<
   is_constructible<__shared_ptr<_Tp>, _Args...>::value
 >::type;

      template<typename _Arg>
 using _Assignable = typename enable_if<
   is_assignable<__shared_ptr<_Tp>&, _Arg>::value, shared_ptr&
 >::type;

    public:

      using element_type = typename __shared_ptr<_Tp>::element_type;



      using weak_type = weak_ptr<_Tp>;





      constexpr shared_ptr() noexcept : __shared_ptr<_Tp>() { }

      shared_ptr(const shared_ptr&) noexcept = default;







      template<typename _Yp, typename = _Constructible<_Yp*>>
 explicit
 shared_ptr(_Yp* __p) : __shared_ptr<_Tp>(__p) { }
# 154 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Yp, typename _Deleter,
        typename = _Constructible<_Yp*, _Deleter>>
 shared_ptr(_Yp* __p, _Deleter __d)
        : __shared_ptr<_Tp>(__p, std::move(__d)) { }
# 172 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Deleter>
 shared_ptr(nullptr_t __p, _Deleter __d)
        : __shared_ptr<_Tp>(__p, std::move(__d)) { }
# 191 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Yp, typename _Deleter, typename _Alloc,
        typename = _Constructible<_Yp*, _Deleter, _Alloc>>
 shared_ptr(_Yp* __p, _Deleter __d, _Alloc __a)
 : __shared_ptr<_Tp>(__p, std::move(__d), std::move(__a)) { }
# 211 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Deleter, typename _Alloc>
 shared_ptr(nullptr_t __p, _Deleter __d, _Alloc __a)
 : __shared_ptr<_Tp>(__p, std::move(__d), std::move(__a)) { }
# 233 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Yp>
 shared_ptr(const shared_ptr<_Yp>& __r, element_type* __p) noexcept
 : __shared_ptr<_Tp>(__r, __p) { }
# 244 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Yp,
        typename = _Constructible<const shared_ptr<_Yp>&>>
 shared_ptr(const shared_ptr<_Yp>& __r) noexcept
        : __shared_ptr<_Tp>(__r) { }






      shared_ptr(shared_ptr&& __r) noexcept
      : __shared_ptr<_Tp>(std::move(__r)) { }






      template<typename _Yp, typename = _Constructible<shared_ptr<_Yp>>>
 shared_ptr(shared_ptr<_Yp>&& __r) noexcept
 : __shared_ptr<_Tp>(std::move(__r)) { }
# 274 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      template<typename _Yp, typename = _Constructible<const weak_ptr<_Yp>&>>
 explicit shared_ptr(const weak_ptr<_Yp>& __r)
 : __shared_ptr<_Tp>(__r) { }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
      template<typename _Yp, typename = _Constructible<auto_ptr<_Yp>>>
 shared_ptr(auto_ptr<_Yp>&& __r);
#pragma GCC diagnostic pop




      template<typename _Yp, typename _Del,
        typename = _Constructible<unique_ptr<_Yp, _Del>>>
 shared_ptr(unique_ptr<_Yp, _Del>&& __r)
 : __shared_ptr<_Tp>(std::move(__r)) { }
# 307 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
      constexpr shared_ptr(nullptr_t) noexcept : shared_ptr() { }

      shared_ptr& operator=(const shared_ptr&) noexcept = default;

      template<typename _Yp>
 _Assignable<const shared_ptr<_Yp>&>
 operator=(const shared_ptr<_Yp>& __r) noexcept
 {
   this->__shared_ptr<_Tp>::operator=(__r);
   return *this;
 }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
      template<typename _Yp>
 _Assignable<auto_ptr<_Yp>>
 operator=(auto_ptr<_Yp>&& __r)
 {
   this->__shared_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }
#pragma GCC diagnostic pop


      shared_ptr&
      operator=(shared_ptr&& __r) noexcept
      {
 this->__shared_ptr<_Tp>::operator=(std::move(__r));
 return *this;
      }

      template<class _Yp>
 _Assignable<shared_ptr<_Yp>>
 operator=(shared_ptr<_Yp>&& __r) noexcept
 {
   this->__shared_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }

      template<typename _Yp, typename _Del>
 _Assignable<unique_ptr<_Yp, _Del>>
 operator=(unique_ptr<_Yp, _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 _Yp, typename _Alloc, typename... _Args>
 friend shared_ptr<_Yp>
 allocate_shared(const _Alloc& __a, _Args&&... __args);


      shared_ptr(const weak_ptr<_Tp>& __r, std::nothrow_t)
      : __shared_ptr<_Tp>(__r, std::nothrow) { }

      friend class weak_ptr<_Tp>;
    };


  template<typename _Tp>
    shared_ptr(weak_ptr<_Tp>) -> shared_ptr<_Tp>;
  template<typename _Tp, typename _Del>
    shared_ptr(unique_ptr<_Tp, _Del>) -> shared_ptr<_Tp>;



  template<typename _Tp, typename _Up>
    inline bool
    operator==(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __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 _Tp, typename _Up>
    inline bool
    operator!=(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __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 _Tp, typename _Up>
    inline bool
    operator<(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __b) noexcept
    {
      using _Tp_elt = typename shared_ptr<_Tp>::element_type;
      using _Up_elt = typename shared_ptr<_Up>::element_type;
      using _Vp = typename common_type<_Tp_elt*, _Up_elt*>::type;
      return less<_Vp>()(__a.get(), __b.get());
    }

  template<typename _Tp>
    inline bool
    operator<(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    {
      using _Tp_elt = typename shared_ptr<_Tp>::element_type;
      return less<_Tp_elt*>()(__a.get(), nullptr);
    }

  template<typename _Tp>
    inline bool
    operator<(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    {
      using _Tp_elt = typename shared_ptr<_Tp>::element_type;
      return less<_Tp_elt*>()(nullptr, __a.get());
    }

  template<typename _Tp, typename _Up>
    inline bool
    operator<=(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __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 _Tp, typename _Up>
    inline bool
    operator>(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __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 _Tp, typename _Up>
    inline bool
    operator>=(const shared_ptr<_Tp>& __a, const shared_ptr<_Up>& __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>
    inline void
    swap(shared_ptr<_Tp>& __a, shared_ptr<_Tp>& __b) noexcept
    { __a.swap(__b); }


  template<typename _Tp, typename _Up>
    inline shared_ptr<_Tp>
    static_pointer_cast(const shared_ptr<_Up>& __r) noexcept
    {
      using _Sp = shared_ptr<_Tp>;
      return _Sp(__r, static_cast<typename _Sp::element_type*>(__r.get()));
    }

  template<typename _Tp, typename _Up>
    inline shared_ptr<_Tp>
    const_pointer_cast(const shared_ptr<_Up>& __r) noexcept
    {
      using _Sp = shared_ptr<_Tp>;
      return _Sp(__r, const_cast<typename _Sp::element_type*>(__r.get()));
    }

  template<typename _Tp, typename _Up>
    inline shared_ptr<_Tp>
    dynamic_pointer_cast(const shared_ptr<_Up>& __r) noexcept
    {
      using _Sp = shared_ptr<_Tp>;
      if (auto* __p = dynamic_cast<typename _Sp::element_type*>(__r.get()))
 return _Sp(__r, __p);
      return _Sp();
    }


  template<typename _Tp, typename _Up>
    inline shared_ptr<_Tp>
    reinterpret_pointer_cast(const shared_ptr<_Up>& __r) noexcept
    {
      using _Sp = shared_ptr<_Tp>;
      return _Sp(__r, reinterpret_cast<typename _Sp::element_type*>(__r.get()));
    }







  template<typename _Tp>
    class weak_ptr : public __weak_ptr<_Tp>
    {
      template<typename _Arg>
 using _Constructible = typename enable_if<
   is_constructible<__weak_ptr<_Tp>, _Arg>::value
 >::type;

      template<typename _Arg>
 using _Assignable = typename enable_if<
   is_assignable<__weak_ptr<_Tp>&, _Arg>::value, weak_ptr&
 >::type;

    public:
      constexpr weak_ptr() noexcept = default;

      template<typename _Yp,
        typename = _Constructible<const shared_ptr<_Yp>&>>
 weak_ptr(const shared_ptr<_Yp>& __r) noexcept
 : __weak_ptr<_Tp>(__r) { }

      weak_ptr(const weak_ptr&) noexcept = default;

      template<typename _Yp, typename = _Constructible<const weak_ptr<_Yp>&>>
 weak_ptr(const weak_ptr<_Yp>& __r) noexcept
 : __weak_ptr<_Tp>(__r) { }

      weak_ptr(weak_ptr&&) noexcept = default;

      template<typename _Yp, typename = _Constructible<weak_ptr<_Yp>>>
 weak_ptr(weak_ptr<_Yp>&& __r) noexcept
 : __weak_ptr<_Tp>(std::move(__r)) { }

      weak_ptr&
      operator=(const weak_ptr& __r) noexcept = default;

      template<typename _Yp>
 _Assignable<const weak_ptr<_Yp>&>
 operator=(const weak_ptr<_Yp>& __r) noexcept
 {
   this->__weak_ptr<_Tp>::operator=(__r);
   return *this;
 }

      template<typename _Yp>
 _Assignable<const shared_ptr<_Yp>&>
 operator=(const shared_ptr<_Yp>& __r) noexcept
 {
   this->__weak_ptr<_Tp>::operator=(__r);
   return *this;
 }

      weak_ptr&
      operator=(weak_ptr&& __r) noexcept = default;

      template<typename _Yp>
 _Assignable<weak_ptr<_Yp>>
 operator=(weak_ptr<_Yp>&& __r) noexcept
 {
   this->__weak_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }

      shared_ptr<_Tp>
      lock() const noexcept
      { return shared_ptr<_Tp>(*this, std::nothrow); }
    };


  template<typename _Tp>
    weak_ptr(shared_ptr<_Tp>) -> weak_ptr<_Tp>;



  template<typename _Tp>
    inline void
    swap(weak_ptr<_Tp>& __a, weak_ptr<_Tp>& __b) noexcept
    { __a.swap(__b); }



  template<typename _Tp = void>
    struct owner_less;


  template<>
    struct owner_less<void> : _Sp_owner_less<void, void>
    { };


  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); }



      weak_ptr<_Tp>
      weak_from_this() noexcept
      { return this->_M_weak_this; }

      weak_ptr<const _Tp>
      weak_from_this() const noexcept
      { return 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); }


      friend const enable_shared_from_this*
      __enable_shared_from_this_base(const __shared_count<>&,
         const enable_shared_from_this* __p)
      { return __p; }

      template<typename, _Lock_policy>
 friend class __shared_ptr;

      mutable weak_ptr<_Tp> _M_weak_this;
    };
# 698 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
  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)...);
    }
# 713 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr.h" 3
  template<typename _Tp, typename... _Args>
    inline shared_ptr<_Tp>
    make_shared(_Args&&... __args)
    {
      typedef typename std::remove_cv<_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<typename shared_ptr<_Tp>::element_type*>()(__s.get());
      }
    };




}
# 82 "/opt/sutton/include/c++/9.0.0/memory" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/atomic_lockfree_defines.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/atomic_lockfree_defines.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/atomic_lockfree_defines.h" 3
# 38 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 2 3





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

# 55 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 3
  typedef enum memory_order
    {
      memory_order_relaxed,
      memory_order_consume,
      memory_order_acquire,
      memory_order_release,
      memory_order_acq_rel,
      memory_order_seq_cst
    } memory_order;

  enum __memory_order_modifier
    {
      __memory_order_mask = 0x0ffff,
      __memory_order_modifier_mask = 0xffff0000,
      __memory_order_hle_acquire = 0x10000,
      __memory_order_hle_release = 0x20000
    };

  constexpr memory_order
  operator|(memory_order __m, __memory_order_modifier __mod)
  {
    return memory_order(__m | int(__mod));
  }

  constexpr memory_order
  operator&(memory_order __m, __memory_order_modifier __mod)
  {
    return memory_order(__m & int(__mod));
  }


  constexpr memory_order
  __cmpexch_failure_order2(memory_order __m) noexcept
  {
    return __m == memory_order_acq_rel ? memory_order_acquire
      : __m == memory_order_release ? memory_order_relaxed : __m;
  }

  constexpr memory_order
  __cmpexch_failure_order(memory_order __m) noexcept
  {
    return memory_order(__cmpexch_failure_order2(__m & __memory_order_mask)
      | (__m & __memory_order_modifier_mask));
  }

  inline __attribute__((__always_inline__)) void
  atomic_thread_fence(memory_order __m) noexcept
  { __atomic_thread_fence(__m); }

  inline __attribute__((__always_inline__)) void
  atomic_signal_fence(memory_order __m) noexcept
  { __atomic_signal_fence(__m); }


  template<typename _Tp>
    inline _Tp
    kill_dependency(_Tp __y) noexcept
    {
      _Tp __ret(__y);
      return __ret;
    }



  template<typename _IntTp>
    struct __atomic_base;




  template<typename _Tp>
    struct atomic;

  template<typename _Tp>
    struct atomic<_Tp*>;



    typedef bool __atomic_flag_data_type;
# 148 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 3
  extern "C" {

  struct __atomic_flag_base
  {
    __atomic_flag_data_type _M_i;
  };

  }




  struct atomic_flag : public __atomic_flag_base
  {
    atomic_flag() noexcept = default;
    ~atomic_flag() noexcept = default;
    atomic_flag(const atomic_flag&) = delete;
    atomic_flag& operator=(const atomic_flag&) = delete;
    atomic_flag& operator=(const atomic_flag&) volatile = delete;


    constexpr atomic_flag(bool __i) noexcept
      : __atomic_flag_base{ _S_init(__i) }
    { }

    inline __attribute__((__always_inline__)) bool
    test_and_set(memory_order __m = memory_order_seq_cst) noexcept
    {
      return __atomic_test_and_set (&_M_i, __m);
    }

    inline __attribute__((__always_inline__)) bool
    test_and_set(memory_order __m = memory_order_seq_cst) volatile noexcept
    {
      return __atomic_test_and_set (&_M_i, __m);
    }

    inline __attribute__((__always_inline__)) void
    clear(memory_order __m = memory_order_seq_cst) noexcept
    {
      memory_order __b = __m & __memory_order_mask;
      ;
      ;
      ;

      __atomic_clear (&_M_i, __m);
    }

    inline __attribute__((__always_inline__)) void
    clear(memory_order __m = memory_order_seq_cst) volatile noexcept
    {
      memory_order __b = __m & __memory_order_mask;
      ;
      ;
      ;

      __atomic_clear (&_M_i, __m);
    }

  private:
    static constexpr __atomic_flag_data_type
    _S_init(bool __i)
    { return __i ? 1 : 0; }
  };
# 237 "/opt/sutton/include/c++/9.0.0/bits/atomic_base.h" 3
  template<typename _ITp>
    struct __atomic_base
    {
      using value_type = _ITp;
      using difference_type = value_type;

    private:
      typedef _ITp __int_type;

      static constexpr int _S_alignment =
 sizeof(_ITp) > alignof(_ITp) ? sizeof(_ITp) : alignof(_ITp);

      alignas(_S_alignment) __int_type _M_i;

    public:
      __atomic_base() noexcept = default;
      ~__atomic_base() noexcept = default;
      __atomic_base(const __atomic_base&) = delete;
      __atomic_base& operator=(const __atomic_base&) = delete;
      __atomic_base& operator=(const __atomic_base&) volatile = delete;


      constexpr __atomic_base(__int_type __i) noexcept : _M_i (__i) { }

      operator __int_type() const noexcept
      { return load(); }

      operator __int_type() const volatile noexcept
      { return load(); }

      __int_type
      operator=(__int_type __i) noexcept
      {
 store(__i);
 return __i;
      }

      __int_type
      operator=(__int_type __i) volatile noexcept
      {
 store(__i);
 return __i;
      }

      __int_type
      operator++(int) noexcept
      { return fetch_add(1); }

      __int_type
      operator++(int) volatile noexcept
      { return fetch_add(1); }

      __int_type
      operator--(int) noexcept
      { return fetch_sub(1); }

      __int_type
      operator--(int) volatile noexcept
      { return fetch_sub(1); }

      __int_type
      operator++() noexcept
      { return __atomic_add_fetch(&_M_i, 1, memory_order_seq_cst); }

      __int_type
      operator++() volatile noexcept
      { return __atomic_add_fetch(&_M_i, 1, memory_order_seq_cst); }

      __int_type
      operator--() noexcept
      { return __atomic_sub_fetch(&_M_i, 1, memory_order_seq_cst); }

      __int_type
      operator--() volatile noexcept
      { return __atomic_sub_fetch(&_M_i, 1, memory_order_seq_cst); }

      __int_type
      operator+=(__int_type __i) noexcept
      { return __atomic_add_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator+=(__int_type __i) volatile noexcept
      { return __atomic_add_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator-=(__int_type __i) noexcept
      { return __atomic_sub_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator-=(__int_type __i) volatile noexcept
      { return __atomic_sub_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator&=(__int_type __i) noexcept
      { return __atomic_and_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator&=(__int_type __i) volatile noexcept
      { return __atomic_and_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator|=(__int_type __i) noexcept
      { return __atomic_or_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator|=(__int_type __i) volatile noexcept
      { return __atomic_or_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator^=(__int_type __i) noexcept
      { return __atomic_xor_fetch(&_M_i, __i, memory_order_seq_cst); }

      __int_type
      operator^=(__int_type __i) volatile noexcept
      { return __atomic_xor_fetch(&_M_i, __i, memory_order_seq_cst); }

      bool
      is_lock_free() const noexcept
      {

 return __atomic_is_lock_free(sizeof(_M_i),
     reinterpret_cast<void *>(-_S_alignment));
      }

      bool
      is_lock_free() const volatile noexcept
      {

 return __atomic_is_lock_free(sizeof(_M_i),
     reinterpret_cast<void *>(-_S_alignment));
      }

      inline __attribute__((__always_inline__)) void
      store(__int_type __i, memory_order __m = memory_order_seq_cst) noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;
 ;

 __atomic_store_n(&_M_i, __i, __m);
      }

      inline __attribute__((__always_inline__)) void
      store(__int_type __i,
     memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;
 ;

 __atomic_store_n(&_M_i, __i, __m);
      }

      inline __attribute__((__always_inline__)) __int_type
      load(memory_order __m = memory_order_seq_cst) const noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;

 return __atomic_load_n(&_M_i, __m);
      }

      inline __attribute__((__always_inline__)) __int_type
      load(memory_order __m = memory_order_seq_cst) const volatile noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;

 return __atomic_load_n(&_M_i, __m);
      }

      inline __attribute__((__always_inline__)) __int_type
      exchange(__int_type __i,
        memory_order __m = memory_order_seq_cst) noexcept
      {
 return __atomic_exchange_n(&_M_i, __i, __m);
      }


      inline __attribute__((__always_inline__)) __int_type
      exchange(__int_type __i,
        memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 return __atomic_exchange_n(&_M_i, __i, __m);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_weak(__int_type& __i1, __int_type __i2,
       memory_order __m1, memory_order __m2) noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;
 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_i, &__i1, __i2, 1, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_weak(__int_type& __i1, __int_type __i2,
       memory_order __m1,
       memory_order __m2) volatile noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;
 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_i, &__i1, __i2, 1, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_weak(__int_type& __i1, __int_type __i2,
       memory_order __m = memory_order_seq_cst) noexcept
      {
 return compare_exchange_weak(__i1, __i2, __m,
         __cmpexch_failure_order(__m));
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_weak(__int_type& __i1, __int_type __i2,
     memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 return compare_exchange_weak(__i1, __i2, __m,
         __cmpexch_failure_order(__m));
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__int_type& __i1, __int_type __i2,
         memory_order __m1, memory_order __m2) noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;
 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_i, &__i1, __i2, 0, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__int_type& __i1, __int_type __i2,
         memory_order __m1,
         memory_order __m2) volatile noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;

 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_i, &__i1, __i2, 0, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__int_type& __i1, __int_type __i2,
         memory_order __m = memory_order_seq_cst) noexcept
      {
 return compare_exchange_strong(__i1, __i2, __m,
           __cmpexch_failure_order(__m));
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__int_type& __i1, __int_type __i2,
   memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 return compare_exchange_strong(__i1, __i2, __m,
           __cmpexch_failure_order(__m));
      }

      inline __attribute__((__always_inline__)) __int_type
      fetch_add(__int_type __i,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_add(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_add(__int_type __i,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_add(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_sub(__int_type __i,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_sub(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_sub(__int_type __i,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_sub(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_and(__int_type __i,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_and(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_and(__int_type __i,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_and(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_or(__int_type __i,
        memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_or(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_or(__int_type __i,
        memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_or(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_xor(__int_type __i,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_xor(&_M_i, __i, __m); }

      inline __attribute__((__always_inline__)) __int_type
      fetch_xor(__int_type __i,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_xor(&_M_i, __i, __m); }
    };



  template<typename _PTp>
    struct __atomic_base<_PTp*>
    {
    private:
      typedef _PTp* __pointer_type;

      __pointer_type _M_p;


      constexpr ptrdiff_t
      _M_type_size(ptrdiff_t __d) const { return __d * sizeof(_PTp); }

      constexpr ptrdiff_t
      _M_type_size(ptrdiff_t __d) const volatile { return __d * sizeof(_PTp); }

    public:
      __atomic_base() noexcept = default;
      ~__atomic_base() noexcept = default;
      __atomic_base(const __atomic_base&) = delete;
      __atomic_base& operator=(const __atomic_base&) = delete;
      __atomic_base& operator=(const __atomic_base&) volatile = delete;


      constexpr __atomic_base(__pointer_type __p) noexcept : _M_p (__p) { }

      operator __pointer_type() const noexcept
      { return load(); }

      operator __pointer_type() const volatile noexcept
      { return load(); }

      __pointer_type
      operator=(__pointer_type __p) noexcept
      {
 store(__p);
 return __p;
      }

      __pointer_type
      operator=(__pointer_type __p) volatile noexcept
      {
 store(__p);
 return __p;
      }

      __pointer_type
      operator++(int) noexcept
      { return fetch_add(1); }

      __pointer_type
      operator++(int) volatile noexcept
      { return fetch_add(1); }

      __pointer_type
      operator--(int) noexcept
      { return fetch_sub(1); }

      __pointer_type
      operator--(int) volatile noexcept
      { return fetch_sub(1); }

      __pointer_type
      operator++() noexcept
      { return __atomic_add_fetch(&_M_p, _M_type_size(1),
      memory_order_seq_cst); }

      __pointer_type
      operator++() volatile noexcept
      { return __atomic_add_fetch(&_M_p, _M_type_size(1),
      memory_order_seq_cst); }

      __pointer_type
      operator--() noexcept
      { return __atomic_sub_fetch(&_M_p, _M_type_size(1),
      memory_order_seq_cst); }

      __pointer_type
      operator--() volatile noexcept
      { return __atomic_sub_fetch(&_M_p, _M_type_size(1),
      memory_order_seq_cst); }

      __pointer_type
      operator+=(ptrdiff_t __d) noexcept
      { return __atomic_add_fetch(&_M_p, _M_type_size(__d),
      memory_order_seq_cst); }

      __pointer_type
      operator+=(ptrdiff_t __d) volatile noexcept
      { return __atomic_add_fetch(&_M_p, _M_type_size(__d),
      memory_order_seq_cst); }

      __pointer_type
      operator-=(ptrdiff_t __d) noexcept
      { return __atomic_sub_fetch(&_M_p, _M_type_size(__d),
      memory_order_seq_cst); }

      __pointer_type
      operator-=(ptrdiff_t __d) volatile noexcept
      { return __atomic_sub_fetch(&_M_p, _M_type_size(__d),
      memory_order_seq_cst); }

      bool
      is_lock_free() const noexcept
      {

 return __atomic_is_lock_free(sizeof(_M_p),
     reinterpret_cast<void *>(-__alignof(_M_p)));
      }

      bool
      is_lock_free() const volatile noexcept
      {

 return __atomic_is_lock_free(sizeof(_M_p),
     reinterpret_cast<void *>(-__alignof(_M_p)));
      }

      inline __attribute__((__always_inline__)) void
      store(__pointer_type __p,
     memory_order __m = memory_order_seq_cst) noexcept
      {
        memory_order __b = __m & __memory_order_mask;

 ;
 ;
 ;

 __atomic_store_n(&_M_p, __p, __m);
      }

      inline __attribute__((__always_inline__)) void
      store(__pointer_type __p,
     memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;
 ;

 __atomic_store_n(&_M_p, __p, __m);
      }

      inline __attribute__((__always_inline__)) __pointer_type
      load(memory_order __m = memory_order_seq_cst) const noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;

 return __atomic_load_n(&_M_p, __m);
      }

      inline __attribute__((__always_inline__)) __pointer_type
      load(memory_order __m = memory_order_seq_cst) const volatile noexcept
      {
 memory_order __b = __m & __memory_order_mask;
 ;
 ;

 return __atomic_load_n(&_M_p, __m);
      }

      inline __attribute__((__always_inline__)) __pointer_type
      exchange(__pointer_type __p,
        memory_order __m = memory_order_seq_cst) noexcept
      {
 return __atomic_exchange_n(&_M_p, __p, __m);
      }


      inline __attribute__((__always_inline__)) __pointer_type
      exchange(__pointer_type __p,
        memory_order __m = memory_order_seq_cst) volatile noexcept
      {
 return __atomic_exchange_n(&_M_p, __p, __m);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__pointer_type& __p1, __pointer_type __p2,
         memory_order __m1,
         memory_order __m2) noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;
 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_p, &__p1, __p2, 0, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) bool
      compare_exchange_strong(__pointer_type& __p1, __pointer_type __p2,
         memory_order __m1,
         memory_order __m2) volatile noexcept
      {
 memory_order __b2 = __m2 & __memory_order_mask;
 memory_order __b1 = __m1 & __memory_order_mask;

 ;
 ;
 ;

 return __atomic_compare_exchange_n(&_M_p, &__p1, __p2, 0, __m1, __m2);
      }

      inline __attribute__((__always_inline__)) __pointer_type
      fetch_add(ptrdiff_t __d,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_add(&_M_p, _M_type_size(__d), __m); }

      inline __attribute__((__always_inline__)) __pointer_type
      fetch_add(ptrdiff_t __d,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_add(&_M_p, _M_type_size(__d), __m); }

      inline __attribute__((__always_inline__)) __pointer_type
      fetch_sub(ptrdiff_t __d,
  memory_order __m = memory_order_seq_cst) noexcept
      { return __atomic_fetch_sub(&_M_p, _M_type_size(__d), __m); }

      inline __attribute__((__always_inline__)) __pointer_type
      fetch_sub(ptrdiff_t __d,
  memory_order __m = memory_order_seq_cst) volatile noexcept
      { return __atomic_fetch_sub(&_M_p, _M_type_size(__d), __m); }
    };




}
# 34 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 2 3

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







  struct _Sp_locker
  {
    _Sp_locker(const _Sp_locker&) = delete;
    _Sp_locker& operator=(const _Sp_locker&) = delete;


    explicit
    _Sp_locker(const void*) noexcept;
    _Sp_locker(const void*, const void*) noexcept;
    ~_Sp_locker();

  private:
    unsigned char _M_key1;
    unsigned char _M_key2;



  };







  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    atomic_is_lock_free(const __shared_ptr<_Tp, _Lp>* __p)
    {

      return __gthread_active_p() == 0;



    }

  template<typename _Tp>
    inline bool
    atomic_is_lock_free(const shared_ptr<_Tp>* __p)
    { return std::atomic_is_lock_free<_Tp, __default_lock_policy>(__p); }
# 96 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 3
  template<typename _Tp>
    inline shared_ptr<_Tp>
    atomic_load_explicit(const shared_ptr<_Tp>* __p, memory_order)
    {
      _Sp_locker __lock{__p};
      return *__p;
    }

  template<typename _Tp>
    inline shared_ptr<_Tp>
    atomic_load(const shared_ptr<_Tp>* __p)
    { return std::atomic_load_explicit(__p, memory_order_seq_cst); }

  template<typename _Tp, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    atomic_load_explicit(const __shared_ptr<_Tp, _Lp>* __p, memory_order)
    {
      _Sp_locker __lock{__p};
      return *__p;
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    atomic_load(const __shared_ptr<_Tp, _Lp>* __p)
    { return std::atomic_load_explicit(__p, memory_order_seq_cst); }
# 132 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 3
  template<typename _Tp>
    inline void
    atomic_store_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r,
     memory_order)
    {
      _Sp_locker __lock{__p};
      __p->swap(__r);
    }

  template<typename _Tp>
    inline void
    atomic_store(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r)
    { std::atomic_store_explicit(__p, std::move(__r), memory_order_seq_cst); }

  template<typename _Tp, _Lock_policy _Lp>
    inline void
    atomic_store_explicit(__shared_ptr<_Tp, _Lp>* __p,
     __shared_ptr<_Tp, _Lp> __r,
     memory_order)
    {
      _Sp_locker __lock{__p};
      __p->swap(__r);
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline void
    atomic_store(__shared_ptr<_Tp, _Lp>* __p, __shared_ptr<_Tp, _Lp> __r)
    { std::atomic_store_explicit(__p, std::move(__r), memory_order_seq_cst); }
# 169 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 3
  template<typename _Tp>
    inline shared_ptr<_Tp>
    atomic_exchange_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r,
        memory_order)
    {
      _Sp_locker __lock{__p};
      __p->swap(__r);
      return __r;
    }

  template<typename _Tp>
    inline shared_ptr<_Tp>
    atomic_exchange(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r)
    {
      return std::atomic_exchange_explicit(__p, std::move(__r),
        memory_order_seq_cst);
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    atomic_exchange_explicit(__shared_ptr<_Tp, _Lp>* __p,
        __shared_ptr<_Tp, _Lp> __r,
        memory_order)
    {
      _Sp_locker __lock{__p};
      __p->swap(__r);
      return __r;
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    atomic_exchange(__shared_ptr<_Tp, _Lp>* __p, __shared_ptr<_Tp, _Lp> __r)
    {
      return std::atomic_exchange_explicit(__p, std::move(__r),
        memory_order_seq_cst);
    }
# 218 "/opt/sutton/include/c++/9.0.0/bits/shared_ptr_atomic.h" 3
  template<typename _Tp>
    bool
    atomic_compare_exchange_strong_explicit(shared_ptr<_Tp>* __p,
         shared_ptr<_Tp>* __v,
         shared_ptr<_Tp> __w,
         memory_order,
         memory_order)
    {
      shared_ptr<_Tp> __x;
      _Sp_locker __lock{__p, __v};
      owner_less<shared_ptr<_Tp>> __less;
      if (*__p == *__v && !__less(*__p, *__v) && !__less(*__v, *__p))
 {
   __x = std::move(*__p);
   *__p = std::move(__w);
   return true;
 }
      __x = std::move(*__v);
      *__v = *__p;
      return false;
    }

  template<typename _Tp>
    inline bool
    atomic_compare_exchange_strong(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v,
     shared_ptr<_Tp> __w)
    {
      return std::atomic_compare_exchange_strong_explicit(__p, __v,
   std::move(__w), memory_order_seq_cst, memory_order_seq_cst);
    }

  template<typename _Tp>
    inline bool
    atomic_compare_exchange_weak_explicit(shared_ptr<_Tp>* __p,
       shared_ptr<_Tp>* __v,
       shared_ptr<_Tp> __w,
       memory_order __success,
       memory_order __failure)
    {
      return std::atomic_compare_exchange_strong_explicit(__p, __v,
   std::move(__w), __success, __failure);
    }

  template<typename _Tp>
    inline bool
    atomic_compare_exchange_weak(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v,
     shared_ptr<_Tp> __w)
    {
      return std::atomic_compare_exchange_weak_explicit(__p, __v,
   std::move(__w), memory_order_seq_cst, memory_order_seq_cst);
    }

  template<typename _Tp, _Lock_policy _Lp>
    bool
    atomic_compare_exchange_strong_explicit(__shared_ptr<_Tp, _Lp>* __p,
         __shared_ptr<_Tp, _Lp>* __v,
         __shared_ptr<_Tp, _Lp> __w,
         memory_order,
         memory_order)
    {
      __shared_ptr<_Tp, _Lp> __x;
      _Sp_locker __lock{__p, __v};
      owner_less<__shared_ptr<_Tp, _Lp>> __less;
      if (*__p == *__v && !__less(*__p, *__v) && !__less(*__v, *__p))
 {
   __x = std::move(*__p);
   *__p = std::move(__w);
   return true;
 }
      __x = std::move(*__v);
      *__v = *__p;
      return false;
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    atomic_compare_exchange_strong(__shared_ptr<_Tp, _Lp>* __p,
       __shared_ptr<_Tp, _Lp>* __v,
       __shared_ptr<_Tp, _Lp> __w)
    {
      return std::atomic_compare_exchange_strong_explicit(__p, __v,
   std::move(__w), memory_order_seq_cst, memory_order_seq_cst);
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    atomic_compare_exchange_weak_explicit(__shared_ptr<_Tp, _Lp>* __p,
       __shared_ptr<_Tp, _Lp>* __v,
       __shared_ptr<_Tp, _Lp> __w,
       memory_order __success,
       memory_order __failure)
    {
      return std::atomic_compare_exchange_strong_explicit(__p, __v,
   std::move(__w), __success, __failure);
    }

  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    atomic_compare_exchange_weak(__shared_ptr<_Tp, _Lp>* __p,
     __shared_ptr<_Tp, _Lp>* __v,
     __shared_ptr<_Tp, _Lp> __w)
    {
      return std::atomic_compare_exchange_weak_explicit(__p, __v,
   std::move(__w), memory_order_seq_cst, memory_order_seq_cst);
    }





}
# 83 "/opt/sutton/include/c++/9.0.0/memory" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 47 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
  template<typename _Tp1>
    struct auto_ptr_ref
    {
      _Tp1* _M_ptr;

      explicit
      auto_ptr_ref(_Tp1* __p): _M_ptr(__p) { }
    } __attribute__ ((__deprecated__));

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 88 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
  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) { }
# 114 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      auto_ptr(auto_ptr& __a) throw() : _M_ptr(__a.release()) { }
# 126 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      template<typename _Tp1>
        auto_ptr(auto_ptr<_Tp1>& __a) throw() : _M_ptr(__a.release()) { }
# 137 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      auto_ptr&
      operator=(auto_ptr& __a) throw()
      {
 reset(__a.release());
 return *this;
      }
# 154 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      template<typename _Tp1>
        auto_ptr&
        operator=(auto_ptr<_Tp1>& __a) throw()
        {
   reset(__a.release());
   return *this;
 }
# 172 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      ~auto_ptr() { delete _M_ptr; }
# 182 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      element_type&
      operator*() const throw()
      {
 ;
 return *_M_ptr;
      }







      element_type*
      operator->() const throw()
      {
 ;
 return _M_ptr;
      }
# 212 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      element_type*
      get() const throw() { return _M_ptr; }
# 226 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      element_type*
      release() throw()
      {
 element_type* __tmp = _M_ptr;
 _M_ptr = 0;
 return __tmp;
      }
# 241 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      void
      reset(element_type* __p = 0) throw()
      {
 if (__p != _M_ptr)
   {
     delete _M_ptr;
     _M_ptr = __p;
   }
      }
# 266 "/opt/sutton/include/c++/9.0.0/backward/auto_ptr.h" 3
      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__));


  template<_Lock_policy _Lp>
  template<typename _Tp>
    inline
    __shared_count<_Lp>::__shared_count(std::auto_ptr<_Tp>&& __r)
    : _M_pi(new _Sp_counted_ptr<_Tp*, _Lp>(__r.get()))
    { __r.release(); }

  template<typename _Tp, _Lock_policy _Lp>
  template<typename _Tp1, typename>
    inline
    __shared_ptr<_Tp, _Lp>::__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));
      _M_enable_shared_from_this_with(__tmp);
    }

  template<typename _Tp>
  template<typename _Tp1, typename>
    inline
    shared_ptr<_Tp>::shared_ptr(std::auto_ptr<_Tp1>&& __r)
    : __shared_ptr<_Tp>(std::move(__r)) { }

  template<typename _Tp, typename _Dp>
  template<typename _Up, typename>
    inline
    unique_ptr<_Tp, _Dp>::unique_ptr(auto_ptr<_Up>&& __u) noexcept
    : _M_t(__u.release(), deleter_type()) { }


#pragma GCC diagnostic pop


}
# 85 "/opt/sutton/include/c++/9.0.0/memory" 2 3
# 93 "/opt/sutton/include/c++/9.0.0/memory" 3
# 1 "/opt/sutton/include/c++/9.0.0/bit" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/bit" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/bit" 3






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


  template<typename _Tp>
    constexpr _Tp
    __rotl(_Tp __x, unsigned int __s) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;
      const unsigned __sN = __s % _Nd;
      return (__x << __sN) | (__x >> ((_Nd - __sN) % _Nd));
    }

  template<typename _Tp>
    constexpr _Tp
    __rotr(_Tp __x, unsigned int __s) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;
      const unsigned __sN = __s % _Nd;
      return (__x >> __sN) | (__x << ((_Nd - __sN) % _Nd));
    }

  template<typename _Tp>
    constexpr int
    __countl_zero(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;

      if (__x == 0)
        return _Nd;

      constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
      constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
      constexpr auto _Nd_u = numeric_limits<unsigned>::digits;

      if constexpr (_Nd <= _Nd_u)
 {
   constexpr int __diff = _Nd_u - _Nd;
   return __builtin_clz(__x) - __diff;
 }
      else if constexpr (_Nd <= _Nd_ul)
 {
   constexpr int __diff = _Nd_ul - _Nd;
   return __builtin_clzl(__x) - __diff;
 }
      else if constexpr (_Nd <= _Nd_ull)
 {
   constexpr int __diff = _Nd_ull - _Nd;
   return __builtin_clzll(__x) - __diff;
 }
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   unsigned long long __high = __x >> _Nd_ull;
   if (__high != 0)
     {
       constexpr int __diff = (2 * _Nd_ull) - _Nd;
       return __builtin_clzll(__high) - __diff;
     }
   constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
   unsigned long long __low = __x & __max_ull;
   return (_Nd - _Nd_ull) + __builtin_clzll(__low);
 }
    }

  template<typename _Tp>
    constexpr int
    __countl_one(_Tp __x) noexcept
    {
      if (__x == numeric_limits<_Tp>::max())
        return numeric_limits<_Tp>::digits;
      return std::__countl_zero<_Tp>((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __countr_zero(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;

      if (__x == 0)
        return _Nd;

      constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
      constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
      constexpr auto _Nd_u = numeric_limits<unsigned>::digits;

      if constexpr (_Nd <= _Nd_u)
 return __builtin_ctz(__x);
      else if constexpr (_Nd <= _Nd_ul)
 return __builtin_ctzl(__x);
      else if constexpr (_Nd <= _Nd_ull)
 return __builtin_ctzll(__x);
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
   unsigned long long __low = __x & __max_ull;
   if (__low != 0)
     return __builtin_ctzll(__low);
   unsigned long long __high = __x >> _Nd_ull;
   return __builtin_ctzll(__high) + _Nd_ull;
 }
    }

  template<typename _Tp>
    constexpr int
    __countr_one(_Tp __x) noexcept
    {
      if (__x == numeric_limits<_Tp>::max())
        return numeric_limits<_Tp>::digits;
      return std::__countr_zero((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __popcount(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;

      if (__x == 0)
        return 0;

      constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
      constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
      constexpr auto _Nd_u = numeric_limits<unsigned>::digits;

      if constexpr (_Nd <= _Nd_u)
 return __builtin_popcount(__x);
      else if constexpr (_Nd <= _Nd_ul)
 return __builtin_popcountl(__x);
      else if constexpr (_Nd <= _Nd_ull)
 return __builtin_popcountll(__x);
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
   unsigned long long __low = __x & __max_ull;
   unsigned long long __high = __x >> _Nd_ull;
   return __builtin_popcountll(__low) + __builtin_popcountll(__high);
 }
    }

  template<typename _Tp>
    constexpr bool
    __ispow2(_Tp __x) noexcept
    { return std::__popcount(__x) == 1; }

  template<typename _Tp>
    constexpr _Tp
    __ceil2(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;
      if (__x == 0 || __x == 1)
        return 1;
      const unsigned __n = _Nd - std::__countl_zero((_Tp)(__x - 1u));
      const _Tp __y_2 = (_Tp)1u << (__n - 1u);
      return __y_2 << 1u;
    }

  template<typename _Tp>
    constexpr _Tp
    __floor2(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;
      if (__x == 0)
        return 0;
      return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
    }

  template<typename _Tp>
    constexpr _Tp
    __log2p1(_Tp __x) noexcept
    {
      constexpr auto _Nd = numeric_limits<_Tp>::digits;
      return _Nd - std::__countl_zero(__x);
    }



  template<typename _Tp, typename _Up, bool = is_integral_v<_Tp>>
    struct _If_is_unsigned_integer_type { };

  template<typename _Up>
    struct _If_is_unsigned_integer_type<bool, _Up, true> { };

  template<typename _Tp, typename _Up>
    struct _If_is_unsigned_integer_type<_Tp, _Up, true>
    : enable_if<is_same_v<_Tp, make_unsigned_t<_Tp>>, _Up> { };

  template<typename _Tp, typename _Up = _Tp>
    using _If_is_unsigned_integer
      = typename _If_is_unsigned_integer_type<remove_cv_t<_Tp>, _Up>::type;
# 282 "/opt/sutton/include/c++/9.0.0/bit" 3
  template<typename _Tp>
    constexpr _If_is_unsigned_integer<_Tp, bool>
    ispow2(_Tp __x) noexcept
    { return std::__ispow2(__x); }

  template<typename _Tp>
    constexpr _If_is_unsigned_integer<_Tp>
    ceil2(_Tp __x) noexcept
    { return std::__ceil2(__x); }

  template<typename _Tp>
    constexpr _If_is_unsigned_integer<_Tp>
    floor2(_Tp __x) noexcept
    { return std::__floor2(__x); }

  template<typename _Tp>
    constexpr _If_is_unsigned_integer<_Tp>
    log2p1(_Tp __x) noexcept
    { return std::__log2p1(__x); }
# 352 "/opt/sutton/include/c++/9.0.0/bit" 3

}
# 94 "/opt/sutton/include/c++/9.0.0/memory" 2 3

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

# 115 "/opt/sutton/include/c++/9.0.0/memory" 3
inline void*
align(size_t __align, size_t __size, void*& __ptr, size_t& __space) noexcept
{

  const auto __intptr = reinterpret_cast<uintptr_t>(__ptr);






  const auto __aligned = (__intptr - 1u + __align) & -__align;
  const auto __diff = __aligned - __intptr;
  if ((__size + __diff) > __space)
    return nullptr;
  else
    {
      __space -= __diff;
      return __ptr = reinterpret_cast<void*>(__aligned);
    }
}



enum class pointer_safety { relaxed, preferred, strict };

inline void
declare_reachable(void*) { }

template <typename _Tp>
  inline _Tp*
  undeclare_reachable(_Tp* __p) { return __p; }

inline void
declare_no_pointers(char*, size_t) { }

inline void
undeclare_no_pointers(char*, size_t) { }

inline pointer_safety
get_pointer_safety() noexcept { return pointer_safety::relaxed; }



  template<size_t _Align, class _Tp>
    [[nodiscard,__gnu__::__always_inline__]]
    constexpr _Tp* assume_aligned(_Tp* __ptr)
    {
      static_assert(std::ispow2(_Align));
      ;
      return static_cast<_Tp*>(__builtin_assume_aligned(__ptr, _Align));
    }



}
# 467 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3

namespace Catch {

    class TestSpec;

    struct ITestInvoker {
        virtual void invoke () const = 0;
        virtual ~ITestInvoker();
    };

    using ITestCasePtr = std::shared_ptr<ITestInvoker>;

    class TestCase;
    struct IConfig;

    struct ITestCaseRegistry {
        virtual ~ITestCaseRegistry();
        virtual std::vector<TestCase> const& getAllTests() const = 0;
        virtual std::vector<TestCase> const& getAllTestsSorted( IConfig const& config ) const = 0;
    };

    bool matchTest( TestCase const& testCase, TestSpec const& testSpec, IConfig const& config );
    std::vector<TestCase> filterTests( std::vector<TestCase> const& testCases, TestSpec const& testSpec, IConfig const& config );
    std::vector<TestCase> const& getAllTestCasesSorted( IConfig const& config );

}




# 1 "/opt/sutton/include/c++/9.0.0/cstddef" 1 3
# 42 "/opt/sutton/include/c++/9.0.0/cstddef" 3
       
# 43 "/opt/sutton/include/c++/9.0.0/cstddef" 3







# 1 "/opt/sutton/lib/gcc/x86_64-pc-linux-gnu/9.0.0/include/stddef.h" 1 3 4
# 51 "/opt/sutton/include/c++/9.0.0/cstddef" 2 3

extern "C++"
{

namespace std
{

  using ::max_align_t;
}



namespace std
{




  enum class byte : unsigned char {};

  template<typename _IntegerType> struct __byte_operand { };
  template<> struct __byte_operand<bool> { using __type = byte; };
  template<> struct __byte_operand<char> { using __type = byte; };
  template<> struct __byte_operand<signed char> { using __type = byte; };
  template<> struct __byte_operand<unsigned char> { using __type = byte; };

  template<> struct __byte_operand<wchar_t> { using __type = byte; };

  template<> struct __byte_operand<char16_t> { using __type = byte; };
  template<> struct __byte_operand<char32_t> { using __type = byte; };
  template<> struct __byte_operand<short> { using __type = byte; };
  template<> struct __byte_operand<unsigned short> { using __type = byte; };
  template<> struct __byte_operand<int> { using __type = byte; };
  template<> struct __byte_operand<unsigned int> { using __type = byte; };
  template<> struct __byte_operand<long> { using __type = byte; };
  template<> struct __byte_operand<unsigned long> { using __type = byte; };
  template<> struct __byte_operand<long long> { using __type = byte; };
  template<> struct __byte_operand<unsigned long long> { using __type = byte; };
# 107 "/opt/sutton/include/c++/9.0.0/cstddef" 3
  template<typename _IntegerType>
    struct __byte_operand<const _IntegerType>
    : __byte_operand<_IntegerType> { };
  template<typename _IntegerType>
    struct __byte_operand<volatile _IntegerType>
    : __byte_operand<_IntegerType> { };
  template<typename _IntegerType>
    struct __byte_operand<const volatile _IntegerType>
    : __byte_operand<_IntegerType> { };

  template<typename _IntegerType>
    using __byte_op_t = typename __byte_operand<_IntegerType>::__type;

  template<typename _IntegerType>
    constexpr __byte_op_t<_IntegerType>&
    operator<<=(byte& __b, _IntegerType __shift) noexcept
    { return __b = byte(static_cast<unsigned char>(__b) << __shift); }

  template<typename _IntegerType>
    constexpr __byte_op_t<_IntegerType>
    operator<<(byte __b, _IntegerType __shift) noexcept
    { return byte(static_cast<unsigned char>(__b) << __shift); }

  template<typename _IntegerType>
    constexpr __byte_op_t<_IntegerType>&
    operator>>=(byte& __b, _IntegerType __shift) noexcept
    { return __b = byte(static_cast<unsigned char>(__b) >> __shift); }

  template<typename _IntegerType>
    constexpr __byte_op_t<_IntegerType>
    operator>>(byte __b, _IntegerType __shift) noexcept
    { return byte(static_cast<unsigned char>(__b) >> __shift); }

  constexpr byte&
  operator|=(byte& __l, byte __r) noexcept
  {
    return __l =
      byte(static_cast<unsigned char>(__l) | static_cast<unsigned char>(__r));
  }

  constexpr byte
  operator|(byte __l, byte __r) noexcept
  {
    return
      byte(static_cast<unsigned char>(__l) | static_cast<unsigned char>(__r));
  }

  constexpr byte&
  operator&=(byte& __l, byte __r) noexcept
  {
   return __l =
     byte(static_cast<unsigned char>(__l) & static_cast<unsigned char>(__r));
  }

  constexpr byte
  operator&(byte __l, byte __r) noexcept
  {
    return
      byte(static_cast<unsigned char>(__l) & static_cast<unsigned char>(__r));
  }

  constexpr byte&
  operator^=(byte& __l, byte __r) noexcept
  {
    return __l =
      byte(static_cast<unsigned char>(__l) ^ static_cast<unsigned char>(__r));
  }

  constexpr byte
  operator^(byte __l, byte __r) noexcept
  {
    return
      byte(static_cast<unsigned char>(__l) ^ static_cast<unsigned char>(__r));
  }

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

  template<typename _IntegerType>
    constexpr _IntegerType
    to_integer(__byte_op_t<_IntegerType> __b) noexcept
    { return _IntegerType(__b); }


}

}
# 498 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3



namespace Catch {

    class StringData;
# 512 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
    class StringRef {
    public:
        using size_type = std::size_t;

    private:
        friend struct StringRefTestAccess;

        char const* m_start;
        size_type m_size;

        char* m_data = nullptr;

        void takeOwnership();

        static constexpr char const* const s_empty = "";

    public:
        StringRef() noexcept
        : StringRef( s_empty, 0 )
        {}

        StringRef( StringRef const& other ) noexcept
        : m_start( other.m_start ),
            m_size( other.m_size )
        {}

        StringRef( StringRef&& other ) noexcept
        : m_start( other.m_start ),
            m_size( other.m_size ),
            m_data( other.m_data )
        {
            other.m_data = nullptr;
        }

        StringRef( char const* rawChars ) noexcept;

        StringRef( char const* rawChars, size_type size ) noexcept
        : m_start( rawChars ),
            m_size( size )
        {}

        StringRef( std::string const& stdString ) noexcept
        : m_start( stdString.c_str() ),
            m_size( stdString.size() )
        {}

        ~StringRef() noexcept {
            delete[] m_data;
        }

        auto operator = ( StringRef const &other ) noexcept -> StringRef& {
            delete[] m_data;
            m_data = nullptr;
            m_start = other.m_start;
            m_size = other.m_size;
            return *this;
        }

        operator std::string() const;

        void swap( StringRef& other ) noexcept;

    public:
        auto operator == ( StringRef const& other ) const noexcept -> bool;
        auto operator != ( StringRef const& other ) const noexcept -> bool;

        auto operator[] ( size_type index ) const noexcept -> char;

    public:
        auto empty() const noexcept -> bool {
            return m_size == 0;
        }
        auto size() const noexcept -> size_type {
            return m_size;
        }

        auto numberOfCharacters() const noexcept -> size_type;
        auto c_str() const -> char const*;

    public:
        auto substr( size_type start, size_type size ) const noexcept -> StringRef;



        auto currentData() const noexcept -> char const*;

    private:
        auto isOwned() const noexcept -> bool;
        auto isSubstring() const noexcept -> bool;
    };

    auto operator + ( StringRef const& lhs, StringRef const& rhs ) -> std::string;
    auto operator + ( StringRef const& lhs, char const* rhs ) -> std::string;
    auto operator + ( char const* lhs, StringRef const& rhs ) -> std::string;

    auto operator += ( std::string& lhs, StringRef const& sr ) -> std::string&;
    auto operator << ( std::ostream& os, StringRef const& sr ) -> std::ostream&;

    inline auto operator "" _sr( char const* rawChars, std::size_t size ) noexcept -> StringRef {
        return StringRef( rawChars, size );
    }

}

inline auto operator "" _catch_sr( char const* rawChars, std::size_t size ) noexcept -> Catch::StringRef {
    return Catch::StringRef( rawChars, size );
}





namespace Catch{


 template <typename...>
 inline constexpr auto is_unique = std::true_type{};

 template <typename T, typename... Rest>
 inline constexpr auto is_unique<T, Rest...> = std::bool_constant<
  (!std::is_same_v<T, Rest> && ...) && is_unique<Rest...>
 >{};
# 648 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
}
# 717 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

template<typename C>
class TestInvokerAsMethod : public ITestInvoker {
    void (C::*m_testAsMethod)();
public:
    TestInvokerAsMethod( void (C::*testAsMethod)() ) noexcept : m_testAsMethod( testAsMethod ) {}

    void invoke() const override {
        C obj;
        (obj.*m_testAsMethod)();
    }
};

auto makeTestInvoker( void(*testAsFunction)() ) noexcept -> ITestInvoker*;

template<typename C>
auto makeTestInvoker( void (C::*testAsMethod)() ) noexcept -> ITestInvoker* {
    return new(std::nothrow) TestInvokerAsMethod<C>( testAsMethod );
}

struct NameAndTags {
    NameAndTags( StringRef const& name_ = StringRef(), StringRef const& tags_ = StringRef() ) noexcept;
    StringRef name;
    StringRef tags;
};

struct AutoReg : NonCopyable {
    AutoReg( ITestInvoker* invoker, SourceLineInfo const& lineInfo, StringRef const& classOrMethod, NameAndTags const& nameAndTags ) noexcept;
    ~AutoReg();
};

}
# 891 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {


    struct ResultWas { enum OfType {
        Unknown = -1,
        Ok = 0,
        Info = 1,
        Warning = 2,

        FailureBit = 0x10,

        ExpressionFailed = FailureBit | 1,
        ExplicitFailure = FailureBit | 2,

        Exception = 0x100 | FailureBit,

        ThrewException = Exception | 1,
        DidntThrowException = Exception | 2,

        FatalErrorCondition = 0x200 | FailureBit

    }; };

    bool isOk( ResultWas::OfType resultType );
    bool isJustInfo( int flags );


    struct ResultDisposition { enum Flags {
        Normal = 0x01,

        ContinueOnFailure = 0x02,
        FalseTest = 0x04,
        SuppressFail = 0x08
    }; };

    ResultDisposition::Flags operator | ( ResultDisposition::Flags lhs, ResultDisposition::Flags rhs );

    bool shouldContinueOnFailure( int flags );
    inline bool isFalseTest( int flags ) { return ( flags & ResultDisposition::FalseTest ) != 0; }
    bool shouldSuppressFailure( int flags );

}


namespace Catch {

    struct AssertionInfo
    {
        StringRef macroName;
        SourceLineInfo lineInfo;
        StringRef capturedExpression;
        ResultDisposition::Flags resultDisposition;




    };

}
# 964 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
# 1 "/opt/sutton/include/c++/9.0.0/ostream" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/ostream" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/ostream" 3

# 1 "/opt/sutton/include/c++/9.0.0/ios" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/ios" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/ios" 3





# 1 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3





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

# 62 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
  class locale
  {
  public:


    typedef int category;


    class facet;
    class id;
    class _Impl;

    friend class facet;
    friend class _Impl;

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Cache>
      friend struct __use_cache;
# 98 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    static const category none = 0;
    static const category ctype = 1L << 0;
    static const category numeric = 1L << 1;
    static const category collate = 1L << 2;
    static const category time = 1L << 3;
    static const category monetary = 1L << 4;
    static const category messages = 1L << 5;
    static const category all = (ctype | numeric | collate |
        time | monetary | messages);
# 117 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    locale() throw();
# 126 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    locale(const locale& __other) throw();
# 136 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    explicit
    locale(const char* __s);
# 151 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    locale(const locale& __base, const char* __s, category __cat);
# 162 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    explicit
    locale(const std::string& __s) : locale(__s.c_str()) { }
# 177 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    locale(const locale& __base, const std::string& __s, category __cat)
    : locale(__base, __s.c_str(), __cat) { }
# 192 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    locale(const locale& __base, const locale& __add, category __cat);
# 205 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    template<typename _Facet>
      locale(const locale& __other, _Facet* __f);


    ~locale() throw();
# 219 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    const locale&
    operator=(const locale& __other) throw();
# 234 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    template<typename _Facet>
      locale
      combine(const locale& __other) const;






    __attribute ((__abi_tag__ ("cxx11")))
    string
    name() const;
# 254 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    bool
    operator==(const locale& __other) const throw();







    bool
    operator!=(const locale& __other) const throw()
    { return !(this->operator==(__other)); }
# 282 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    template<typename _Char, typename _Traits, typename _Alloc>
      bool
      operator()(const basic_string<_Char, _Traits, _Alloc>& __s1,
   const basic_string<_Char, _Traits, _Alloc>& __s2) const;
# 298 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    static locale
    global(const locale& __loc);




    static const locale&
    classic();

  private:

    _Impl* _M_impl;


    static _Impl* _S_classic;


    static _Impl* _S_global;





    static const char* const* const _S_categories;
# 333 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    enum { _S_categories_size = 6 + 6 };


    static __gthread_once_t _S_once;


    explicit
    locale(_Impl*) throw();

    static void
    _S_initialize();

    static void
    _S_initialize_once() throw();

    static category
    _S_normalize_category(category);

    void
    _M_coalesce(const locale& __base, const locale& __add, category __cat);


    static const id* const _S_twinned_facets[];

  };
# 371 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
  class locale::facet
  {
  private:
    friend class locale;
    friend class locale::_Impl;

    mutable _Atomic_word _M_refcount;


    static __c_locale _S_c_locale;


    static const char _S_c_name[2];


    static __gthread_once_t _S_once;


    static void
    _S_initialize_once();

  protected:
# 402 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    explicit
    facet(size_t __refs = 0) throw() : _M_refcount(__refs ? 1 : 0)
    { }


    virtual
    ~facet();

    static void
    _S_create_c_locale(__c_locale& __cloc, const char* __s,
         __c_locale __old = 0);

    static __c_locale
    _S_clone_c_locale(__c_locale& __cloc) throw();

    static void
    _S_destroy_c_locale(__c_locale& __cloc);

    static __c_locale
    _S_lc_ctype_c_locale(__c_locale __cloc, const char* __s);



    static __c_locale
    _S_get_c_locale();

    __attribute__ ((__const__)) static const char*
    _S_get_c_name() throw();
# 438 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
    facet(const facet&) = delete;

    facet&
    operator=(const facet&) = delete;


  private:
    void
    _M_add_reference() const throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() const throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    const facet* _M_sso_shim(const id*) const;
    const facet* _M_cow_shim(const id*) const;

  protected:
    class __shim;
  };
# 483 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
  class locale::id
  {
  private:
    friend class locale;
    friend class locale::_Impl;

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();




    mutable size_t _M_index;


    static _Atomic_word _S_refcount;

    void
    operator=(const id&);

    id(const id&);

  public:



    id() { }

    size_t
    _M_id() const throw();
  };



  class locale::_Impl
  {
  public:

    friend class locale;
    friend class locale::facet;

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Cache>
      friend struct __use_cache;

  private:

    _Atomic_word _M_refcount;
    const facet** _M_facets;
    size_t _M_facets_size;
    const facet** _M_caches;
    char** _M_names;
    static const locale::id* const _S_id_ctype[];
    static const locale::id* const _S_id_numeric[];
    static const locale::id* const _S_id_collate[];
    static const locale::id* const _S_id_time[];
    static const locale::id* const _S_id_monetary[];
    static const locale::id* const _S_id_messages[];
    static const locale::id* const* const _S_facet_categories[];

    void
    _M_add_reference() throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    _Impl(const _Impl&, size_t);
    _Impl(const char*, size_t);
    _Impl(size_t) throw();

   ~_Impl() throw();

    _Impl(const _Impl&);

    void
    operator=(const _Impl&);

    bool
    _M_check_same_name()
    {
      bool __ret = true;
      if (_M_names[1])

 for (size_t __i = 0; __ret && __i < _S_categories_size - 1; ++__i)
   __ret = __builtin_strcmp(_M_names[__i], _M_names[__i + 1]) == 0;
      return __ret;
    }

    void
    _M_replace_categories(const _Impl*, category);

    void
    _M_replace_category(const _Impl*, const locale::id* const*);

    void
    _M_replace_facet(const _Impl*, const locale::id*);

    void
    _M_install_facet(const locale::id*, const facet*);

    template<typename _Facet>
      void
      _M_init_facet(_Facet* __facet)
      { _M_install_facet(&_Facet::id, __facet); }

    template<typename _Facet>
      void
      _M_init_facet_unchecked(_Facet* __facet)
      {
 __facet->_M_add_reference();
 _M_facets[_Facet::id._M_id()] = __facet;
      }

    void
    _M_install_cache(const facet*, size_t);

    void _M_init_extra(facet**);
    void _M_init_extra(void*, void*, const char*, const char*);
  };
# 641 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
  template<typename _CharT>
    class __cxx11:: collate : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


    protected:


      __c_locale _M_c_locale_collate;

    public:

      static locale::id id;
# 668 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      explicit
      collate(size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_get_c_locale())
      { }
# 682 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      explicit
      collate(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_clone_c_locale(__cloc))
      { }
# 699 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      int
      compare(const _CharT* __lo1, const _CharT* __hi1,
       const _CharT* __lo2, const _CharT* __hi2) const
      { return this->do_compare(__lo1, __hi1, __lo2, __hi2); }
# 718 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      string_type
      transform(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_transform(__lo, __hi); }
# 732 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      long
      hash(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_hash(__lo, __hi); }


      int
      _M_compare(const _CharT*, const _CharT*) const throw();

      size_t
      _M_transform(_CharT*, const _CharT*, size_t) const throw();

  protected:

      virtual
      ~collate()
      { _S_destroy_c_locale(_M_c_locale_collate); }
# 761 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      virtual int
      do_compare(const _CharT* __lo1, const _CharT* __hi1,
   const _CharT* __lo2, const _CharT* __hi2) const;
# 775 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      virtual string_type
      do_transform(const _CharT* __lo, const _CharT* __hi) const;
# 788 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 3
      virtual long
      do_hash(const _CharT* __lo, const _CharT* __hi) const;
    };

  template<typename _CharT>
    locale::id collate<_CharT>::id;


  template<>
    int
    collate<char>::_M_compare(const char*, const char*) const throw();

  template<>
    size_t
    collate<char>::_M_transform(char*, const char*, size_t) const throw();


  template<>
    int
    collate<wchar_t>::_M_compare(const wchar_t*, const wchar_t*) const throw();

  template<>
    size_t
    collate<wchar_t>::_M_transform(wchar_t*, const wchar_t*, size_t) const throw();



  template<typename _CharT>
    class __cxx11:: collate_byname : public collate<_CharT>
    {
    public:


      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


      explicit
      collate_byname(const char* __s, size_t __refs = 0)
      : collate<_CharT>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     this->_S_destroy_c_locale(this->_M_c_locale_collate);
     this->_S_create_c_locale(this->_M_c_locale_collate, __s);
   }
      }


      explicit
      collate_byname(const string& __s, size_t __refs = 0)
      : collate_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~collate_byname() { }
    };


}

# 1 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.tcc" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.tcc" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.tcc" 3

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


  template<typename _Facet>
    locale::
    locale(const locale& __other, _Facet* __f)
    {
      _M_impl = new _Impl(*__other._M_impl, 1);

      try
 { _M_impl->_M_install_facet(&_Facet::id, __f); }
      catch(...)
 {
   _M_impl->_M_remove_reference();
   throw;
 }
      delete [] _M_impl->_M_names[0];
      _M_impl->_M_names[0] = 0;
    }

  template<typename _Facet>
    locale
    locale::
    combine(const locale& __other) const
    {
      _Impl* __tmp = new _Impl(*_M_impl, 1);
      try
 {
   __tmp->_M_replace_facet(__other._M_impl, &_Facet::id);
 }
      catch(...)
 {
   __tmp->_M_remove_reference();
   throw;
 }
      return locale(__tmp);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    bool
    locale::
    operator()(const basic_string<_CharT, _Traits, _Alloc>& __s1,
        const basic_string<_CharT, _Traits, _Alloc>& __s2) const
    {
      typedef std::collate<_CharT> __collate_type;
      const __collate_type& __collate = use_facet<__collate_type>(*this);
      return (__collate.compare(__s1.data(), __s1.data() + __s1.length(),
    __s2.data(), __s2.data() + __s2.length()) < 0);
    }
# 102 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.tcc" 3
  template<typename _Facet>
    bool
    has_facet(const locale& __loc) throw()
    {
      const size_t __i = _Facet::id._M_id();
      const locale::facet** __facets = __loc._M_impl->_M_facets;
      return (__i < __loc._M_impl->_M_facets_size

       && dynamic_cast<const _Facet*>(__facets[__i]));



    }
# 130 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.tcc" 3
  template<typename _Facet>
    const _Facet&
    use_facet(const locale& __loc)
    {
      const size_t __i = _Facet::id._M_id();
      const locale::facet** __facets = __loc._M_impl->_M_facets;
      if (__i >= __loc._M_impl->_M_facets_size || !__facets[__i])
        __throw_bad_cast();

      return dynamic_cast<const _Facet&>(*__facets[__i]);



    }



  template<typename _CharT>
    int
    collate<_CharT>::_M_compare(const _CharT*, const _CharT*) const throw ()
    { return 0; }


  template<typename _CharT>
    size_t
    collate<_CharT>::_M_transform(_CharT*, const _CharT*, size_t) const throw ()
    { return 0; }

  template<typename _CharT>
    int
    collate<_CharT>::
    do_compare(const _CharT* __lo1, const _CharT* __hi1,
        const _CharT* __lo2, const _CharT* __hi2) const
    {


      const string_type __one(__lo1, __hi1);
      const string_type __two(__lo2, __hi2);

      const _CharT* __p = __one.c_str();
      const _CharT* __pend = __one.data() + __one.length();
      const _CharT* __q = __two.c_str();
      const _CharT* __qend = __two.data() + __two.length();




      for (;;)
 {
   const int __res = _M_compare(__p, __q);
   if (__res)
     return __res;

   __p += char_traits<_CharT>::length(__p);
   __q += char_traits<_CharT>::length(__q);
   if (__p == __pend && __q == __qend)
     return 0;
   else if (__p == __pend)
     return -1;
   else if (__q == __qend)
     return 1;

   __p++;
   __q++;
 }
    }

  template<typename _CharT>
    typename collate<_CharT>::string_type
    collate<_CharT>::
    do_transform(const _CharT* __lo, const _CharT* __hi) const
    {
      string_type __ret;


      const string_type __str(__lo, __hi);

      const _CharT* __p = __str.c_str();
      const _CharT* __pend = __str.data() + __str.length();

      size_t __len = (__hi - __lo) * 2;

      _CharT* __c = new _CharT[__len];

      try
 {



   for (;;)
     {

       size_t __res = _M_transform(__c, __p, __len);


       if (__res >= __len)
  {
    __len = __res + 1;
    delete [] __c, __c = 0;
    __c = new _CharT[__len];
    __res = _M_transform(__c, __p, __len);
  }

       __ret.append(__c, __res);
       __p += char_traits<_CharT>::length(__p);
       if (__p == __pend)
  break;

       __p++;
       __ret.push_back(_CharT());
     }
 }
      catch(...)
 {
   delete [] __c;
   throw;
 }

      delete [] __c;

      return __ret;
    }

  template<typename _CharT>
    long
    collate<_CharT>::
    do_hash(const _CharT* __lo, const _CharT* __hi) const
    {
      unsigned long __val = 0;
      for (; __lo < __hi; ++__lo)
 __val =
   *__lo + ((__val << 7)
     | (__val >> (__gnu_cxx::__numeric_traits<unsigned long>::
    __digits - 7)));
      return static_cast<long>(__val);
    }




  extern template class collate<char>;
  extern template class collate_byname<char>;

  extern template
    const collate<char>&
    use_facet<collate<char> >(const locale&);

  extern template
    bool
    has_facet<collate<char> >(const locale&);


  extern template class collate<wchar_t>;
  extern template class collate_byname<wchar_t>;

  extern template
    const collate<wchar_t>&
    use_facet<collate<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<collate<wchar_t> >(const locale&);




}
# 852 "/opt/sutton/include/c++/9.0.0/bits/locale_classes.h" 2 3
# 42 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 2 3




# 1 "/opt/sutton/include/c++/9.0.0/system_error" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/system_error" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/system_error" 3






# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/error_constants.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/error_constants.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/cerrno" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cerrno" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cerrno" 3
# 35 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/error_constants.h" 2 3

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


  enum class errc
    {
      address_family_not_supported = 97,
      address_in_use = 98,
      address_not_available = 99,
      already_connected = 106,
      argument_list_too_long = 7,
      argument_out_of_domain = 33,
      bad_address = 14,
      bad_file_descriptor = 9,


      bad_message = 74,


      broken_pipe = 32,
      connection_aborted = 103,
      connection_already_in_progress = 114,
      connection_refused = 111,
      connection_reset = 104,
      cross_device_link = 18,
      destination_address_required = 89,
      device_or_resource_busy = 16,
      directory_not_empty = 39,
      executable_format_error = 8,
      file_exists = 17,
      file_too_large = 27,
      filename_too_long = 36,
      function_not_supported = 38,
      host_unreachable = 113,


      identifier_removed = 43,


      illegal_byte_sequence = 84,
      inappropriate_io_control_operation = 25,
      interrupted = 4,
      invalid_argument = 22,
      invalid_seek = 29,
      io_error = 5,
      is_a_directory = 21,
      message_size = 90,
      network_down = 100,
      network_reset = 102,
      network_unreachable = 101,
      no_buffer_space = 105,
      no_child_process = 10,


      no_link = 67,


      no_lock_available = 37,


      no_message_available = 61,


      no_message = 42,
      no_protocol_option = 92,
      no_space_on_device = 28,


      no_stream_resources = 63,


      no_such_device_or_address = 6,
      no_such_device = 19,
      no_such_file_or_directory = 2,
      no_such_process = 3,
      not_a_directory = 20,
      not_a_socket = 88,


      not_a_stream = 60,


      not_connected = 107,
      not_enough_memory = 12,


      not_supported = 95,



      operation_canceled = 125,


      operation_in_progress = 115,
      operation_not_permitted = 1,
      operation_not_supported = 95,
      operation_would_block = 11,


      owner_dead = 130,


      permission_denied = 13,


      protocol_error = 71,


      protocol_not_supported = 93,
      read_only_file_system = 30,
      resource_deadlock_would_occur = 35,
      resource_unavailable_try_again = 11,
      result_out_of_range = 34,


      state_not_recoverable = 131,



      stream_timeout = 62,



      text_file_busy = 26,


      timed_out = 110,
      too_many_files_open_in_system = 23,
      too_many_files_open = 24,
      too_many_links = 31,
      too_many_symbolic_link_levels = 40,


      value_too_large = 75,


      wrong_protocol_type = 91
    };


}
# 40 "/opt/sutton/include/c++/9.0.0/system_error" 2 3



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


  class error_code;
  class error_condition;
  class system_error;


  template<typename _Tp>
    struct is_error_code_enum : public false_type { };


  template<typename _Tp>
    struct is_error_condition_enum : public false_type { };

  template<>
    struct is_error_condition_enum<errc>
    : public true_type { };


  template <typename _Tp>
    inline constexpr bool is_error_code_enum_v =
      is_error_code_enum<_Tp>::value;
  template <typename _Tp>
    inline constexpr bool is_error_condition_enum_v =
      is_error_condition_enum<_Tp>::value;

  inline namespace _V2 {


  class error_category
  {
  public:
    constexpr error_category() noexcept = default;

    virtual ~error_category();

    error_category(const error_category&) = delete;
    error_category& operator=(const error_category&) = delete;

    virtual const char*
    name() const noexcept = 0;






  private:
    __attribute ((__abi_tag__ ("cxx11")))
    virtual __cow_string
    _M_message(int) const;

  public:
    __attribute ((__abi_tag__ ("cxx11")))
    virtual string
    message(int) const = 0;
# 110 "/opt/sutton/include/c++/9.0.0/system_error" 3
  public:
    virtual error_condition
    default_error_condition(int __i) const noexcept;

    virtual bool
    equivalent(int __i, const error_condition& __cond) const noexcept;

    virtual bool
    equivalent(const error_code& __code, int __i) const noexcept;

    bool
    operator<(const error_category& __other) const noexcept
    { return less<const error_category*>()(this, &__other); }

    bool
    operator==(const error_category& __other) const noexcept
    { return this == &__other; }

    bool
    operator!=(const error_category& __other) const noexcept
    { return this != &__other; }
  };


  __attribute__ ((__const__)) const error_category& system_category() noexcept;
  __attribute__ ((__const__)) const error_category& generic_category() noexcept;

  }

  error_code make_error_code(errc) noexcept;

  template<typename _Tp>
    struct hash;



  struct error_code
  {
    error_code() noexcept
    : _M_value(0), _M_cat(&system_category()) { }

    error_code(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }

    template<typename _ErrorCodeEnum, typename = typename
      enable_if<is_error_code_enum<_ErrorCodeEnum>::value>::type>
      error_code(_ErrorCodeEnum __e) noexcept
      { *this = make_error_code(__e); }

    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }

    void
    clear() noexcept
    { assign(0, system_category()); }


    template<typename _ErrorCodeEnum>
      typename enable_if<is_error_code_enum<_ErrorCodeEnum>::value,
    error_code&>::type
      operator=(_ErrorCodeEnum __e) noexcept
      { return *this = make_error_code(__e); }

    int
    value() const noexcept { return _M_value; }

    const error_category&
    category() const noexcept { return *_M_cat; }

    error_condition
    default_error_condition() const noexcept;

    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }

    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    friend class hash<error_code>;

    int _M_value;
    const error_category* _M_cat;
  };


  inline error_code
  make_error_code(errc __e) noexcept
  { return error_code(static_cast<int>(__e), generic_category()); }

  inline bool
  operator<(const error_code& __lhs, const error_code& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os, const error_code& __e)
    { return (__os << __e.category().name() << ':' << __e.value()); }

  error_condition make_error_condition(errc) noexcept;



  struct error_condition
  {
    error_condition() noexcept
    : _M_value(0), _M_cat(&generic_category()) { }

    error_condition(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }

    template<typename _ErrorConditionEnum, typename = typename
  enable_if<is_error_condition_enum<_ErrorConditionEnum>::value>::type>
      error_condition(_ErrorConditionEnum __e) noexcept
      { *this = make_error_condition(__e); }

    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }


    template<typename _ErrorConditionEnum>
      typename enable_if<is_error_condition_enum
    <_ErrorConditionEnum>::value, error_condition&>::type
      operator=(_ErrorConditionEnum __e) noexcept
      { return *this = make_error_condition(__e); }

    void
    clear() noexcept
    { assign(0, generic_category()); }


    int
    value() const noexcept { return _M_value; }

    const error_category&
    category() const noexcept { return *_M_cat; }

    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }

    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    int _M_value;
    const error_category* _M_cat;
  };


  inline error_condition
  make_error_condition(errc __e) noexcept
  { return error_condition(static_cast<int>(__e), generic_category()); }

  inline bool
  operator<(const error_condition& __lhs,
     const error_condition& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }


  inline bool
  operator==(const error_code& __lhs, const error_code& __rhs) noexcept
  { return (__lhs.category() == __rhs.category()
     && __lhs.value() == __rhs.value()); }

  inline bool
  operator==(const error_code& __lhs, const error_condition& __rhs) noexcept
  {
    return (__lhs.category().equivalent(__lhs.value(), __rhs)
     || __rhs.category().equivalent(__lhs, __rhs.value()));
  }

  inline bool
  operator==(const error_condition& __lhs, const error_code& __rhs) noexcept
  {
    return (__rhs.category().equivalent(__rhs.value(), __lhs)
     || __lhs.category().equivalent(__rhs, __lhs.value()));
  }

  inline bool
  operator==(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  {
    return (__lhs.category() == __rhs.category()
     && __lhs.value() == __rhs.value());
  }

  inline bool
  operator!=(const error_code& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_code& __lhs, const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_condition& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }







  class system_error : public std::runtime_error
  {
  private:
    error_code _M_code;

  public:
    system_error(error_code __ec = error_code())
    : runtime_error(__ec.message()), _M_code(__ec) { }

    system_error(error_code __ec, const string& __what)
    : runtime_error(__what + ": " + __ec.message()), _M_code(__ec) { }

    system_error(error_code __ec, const char* __what)
    : runtime_error(__what + (": " + __ec.message())), _M_code(__ec) { }

    system_error(int __v, const error_category& __ecat, const char* __what)
    : system_error(error_code(__v, __ecat), __what) { }

    system_error(int __v, const error_category& __ecat)
    : runtime_error(error_code(__v, __ecat).message()),
      _M_code(__v, __ecat) { }

    system_error(int __v, const error_category& __ecat, const string& __what)
    : runtime_error(__what + ": " + error_code(__v, __ecat).message()),
      _M_code(__v, __ecat) { }


    system_error (const system_error &) = default;
    system_error &operator= (const system_error &) = default;


    virtual ~system_error() noexcept;

    const error_code&
    code() const noexcept { return _M_code; }
  };


}



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





  template<>
    struct hash<error_code>
    : public __hash_base<size_t, error_code>
    {
      size_t
      operator()(const error_code& __e) const noexcept
      {
 const size_t __tmp = std::_Hash_impl::hash(__e._M_value);
 return std::_Hash_impl::__hash_combine(__e._M_cat, __tmp);
      }
    };





  template<>
    struct hash<error_condition>
    : public __hash_base<size_t, error_condition>
    {
      size_t
      operator()(const error_condition& __e) const noexcept
      {
 const size_t __tmp = std::_Hash_impl::hash(__e.value());
 return std::_Hash_impl::__hash_combine(__e.category(), __tmp);
      }
    };



}
# 47 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 2 3


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






  enum _Ios_Fmtflags
    {
      _S_boolalpha = 1L << 0,
      _S_dec = 1L << 1,
      _S_fixed = 1L << 2,
      _S_hex = 1L << 3,
      _S_internal = 1L << 4,
      _S_left = 1L << 5,
      _S_oct = 1L << 6,
      _S_right = 1L << 7,
      _S_scientific = 1L << 8,
      _S_showbase = 1L << 9,
      _S_showpoint = 1L << 10,
      _S_showpos = 1L << 11,
      _S_skipws = 1L << 12,
      _S_unitbuf = 1L << 13,
      _S_uppercase = 1L << 14,
      _S_adjustfield = _S_left | _S_right | _S_internal,
      _S_basefield = _S_dec | _S_oct | _S_hex,
      _S_floatfield = _S_scientific | _S_fixed,
      _S_ios_fmtflags_end = 1L << 16,
      _S_ios_fmtflags_max = 0x7fffffff,
      _S_ios_fmtflags_min = ~0x7fffffff
    };

  inline constexpr _Ios_Fmtflags
  operator&(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator|(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator^(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator~(_Ios_Fmtflags __a)
  { return _Ios_Fmtflags(~static_cast<int>(__a)); }

  inline const _Ios_Fmtflags&
  operator|=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a | __b; }

  inline const _Ios_Fmtflags&
  operator&=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a & __b; }

  inline const _Ios_Fmtflags&
  operator^=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a ^ __b; }


  enum _Ios_Openmode
    {
      _S_app = 1L << 0,
      _S_ate = 1L << 1,
      _S_bin = 1L << 2,
      _S_in = 1L << 3,
      _S_out = 1L << 4,
      _S_trunc = 1L << 5,
      _S_ios_openmode_end = 1L << 16,
      _S_ios_openmode_max = 0x7fffffff,
      _S_ios_openmode_min = ~0x7fffffff
    };

  inline constexpr _Ios_Openmode
  operator&(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator|(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator^(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator~(_Ios_Openmode __a)
  { return _Ios_Openmode(~static_cast<int>(__a)); }

  inline const _Ios_Openmode&
  operator|=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a | __b; }

  inline const _Ios_Openmode&
  operator&=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a & __b; }

  inline const _Ios_Openmode&
  operator^=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a ^ __b; }


  enum _Ios_Iostate
    {
      _S_goodbit = 0,
      _S_badbit = 1L << 0,
      _S_eofbit = 1L << 1,
      _S_failbit = 1L << 2,
      _S_ios_iostate_end = 1L << 16,
      _S_ios_iostate_max = 0x7fffffff,
      _S_ios_iostate_min = ~0x7fffffff
    };

  inline constexpr _Ios_Iostate
  operator&(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator|(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator^(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator~(_Ios_Iostate __a)
  { return _Ios_Iostate(~static_cast<int>(__a)); }

  inline const _Ios_Iostate&
  operator|=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a | __b; }

  inline const _Ios_Iostate&
  operator&=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a & __b; }

  inline const _Ios_Iostate&
  operator^=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a ^ __b; }


  enum _Ios_Seekdir
    {
      _S_beg = 0,
      _S_cur = 1,
      _S_end = 2,
      _S_ios_seekdir_end = 1L << 16
    };



  enum class io_errc { stream = 1 };

  template <> struct is_error_code_enum<io_errc> : public true_type { };

  const error_category& iostream_category() noexcept;

  inline error_code
  make_error_code(io_errc __e) noexcept
  { return error_code(static_cast<int>(__e), iostream_category()); }

  inline error_condition
  make_error_condition(io_errc __e) noexcept
  { return error_condition(static_cast<int>(__e), iostream_category()); }
# 228 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
  class ios_base
  {
# 246 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
  public:
# 255 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    class __attribute ((__abi_tag__ ("cxx11"))) failure : public system_error
    {
    public:
      explicit
      failure(const string& __str);


      explicit
      failure(const string&, const error_code&);

      explicit
      failure(const char*, const error_code& = io_errc::stream);


      virtual
      ~failure() throw();

      virtual const char*
      what() const throw();
    };
# 323 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    typedef _Ios_Fmtflags fmtflags;


    static const fmtflags boolalpha = _S_boolalpha;


    static const fmtflags dec = _S_dec;


    static const fmtflags fixed = _S_fixed;


    static const fmtflags hex = _S_hex;




    static const fmtflags internal = _S_internal;



    static const fmtflags left = _S_left;


    static const fmtflags oct = _S_oct;



    static const fmtflags right = _S_right;


    static const fmtflags scientific = _S_scientific;



    static const fmtflags showbase = _S_showbase;



    static const fmtflags showpoint = _S_showpoint;


    static const fmtflags showpos = _S_showpos;


    static const fmtflags skipws = _S_skipws;


    static const fmtflags unitbuf = _S_unitbuf;



    static const fmtflags uppercase = _S_uppercase;


    static const fmtflags adjustfield = _S_adjustfield;


    static const fmtflags basefield = _S_basefield;


    static const fmtflags floatfield = _S_floatfield;
# 398 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    typedef _Ios_Iostate iostate;



    static const iostate badbit = _S_badbit;


    static const iostate eofbit = _S_eofbit;




    static const iostate failbit = _S_failbit;


    static const iostate goodbit = _S_goodbit;
# 429 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    typedef _Ios_Openmode openmode;


    static const openmode app = _S_app;


    static const openmode ate = _S_ate;




    static const openmode binary = _S_bin;


    static const openmode in = _S_in;


    static const openmode out = _S_out;


    static const openmode trunc = _S_trunc;
# 461 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    typedef _Ios_Seekdir seekdir;


    static const seekdir beg = _S_beg;


    static const seekdir cur = _S_cur;


    static const seekdir end = _S_end;
# 489 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    enum event
    {
      erase_event,
      imbue_event,
      copyfmt_event
    };
# 506 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    typedef void (*event_callback) (event __e, ios_base& __b, int __i);
# 518 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    void
    register_callback(event_callback __fn, int __index);

  protected:
    streamsize _M_precision;
    streamsize _M_width;
    fmtflags _M_flags;
    iostate _M_exception;
    iostate _M_streambuf_state;



    struct _Callback_list
    {

      _Callback_list* _M_next;
      ios_base::event_callback _M_fn;
      int _M_index;
      _Atomic_word _M_refcount;

      _Callback_list(ios_base::event_callback __fn, int __index,
       _Callback_list* __cb)
      : _M_next(__cb), _M_fn(__fn), _M_index(__index), _M_refcount(0) { }

      void
      _M_add_reference() { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }


      int
      _M_remove_reference()
      {

        ;
        int __res = __gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1);
        if (__res == 0)
          {
            ;
          }
        return __res;
      }
    };

     _Callback_list* _M_callbacks;

    void
    _M_call_callbacks(event __ev) throw();

    void
    _M_dispose_callbacks(void) throw();


    struct _Words
    {
      void* _M_pword;
      long _M_iword;
      _Words() : _M_pword(0), _M_iword(0) { }
    };


    _Words _M_word_zero;



    enum { _S_local_word_size = 8 };
    _Words _M_local_word[_S_local_word_size];


    int _M_word_size;
    _Words* _M_word;

    _Words&
    _M_grow_words(int __index, bool __iword);


    locale _M_ios_locale;

    void
    _M_init() throw();

  public:





    class Init
    {
      friend class ios_base;
    public:
      Init();
      ~Init();


      Init(const Init&) = default;
      Init& operator=(const Init&) = default;


    private:
      static _Atomic_word _S_refcount;
      static bool _S_synced_with_stdio;
    };






    fmtflags
    flags() const
    { return _M_flags; }
# 636 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    fmtflags
    flags(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags = __fmtfl;
      return __old;
    }
# 652 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    fmtflags
    setf(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags |= __fmtfl;
      return __old;
    }
# 669 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    fmtflags
    setf(fmtflags __fmtfl, fmtflags __mask)
    {
      fmtflags __old = _M_flags;
      _M_flags &= ~__mask;
      _M_flags |= (__fmtfl & __mask);
      return __old;
    }







    void
    unsetf(fmtflags __mask)
    { _M_flags &= ~__mask; }
# 695 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    streamsize
    precision() const
    { return _M_precision; }






    streamsize
    precision(streamsize __prec)
    {
      streamsize __old = _M_precision;
      _M_precision = __prec;
      return __old;
    }







    streamsize
    width() const
    { return _M_width; }






    streamsize
    width(streamsize __wide)
    {
      streamsize __old = _M_width;
      _M_width = __wide;
      return __old;
    }
# 746 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    static bool
    sync_with_stdio(bool __sync = true);
# 758 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    locale
    imbue(const locale& __loc) throw();
# 769 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    locale
    getloc() const
    { return _M_ios_locale; }
# 780 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    const locale&
    _M_getloc() const
    { return _M_ios_locale; }
# 799 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    static int
    xalloc() throw();
# 815 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    long&
    iword(int __ix)
    {
      _Words& __word = ((unsigned)__ix < (unsigned)_M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, true);
      return __word._M_iword;
    }
# 836 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    void*&
    pword(int __ix)
    {
      _Words& __word = ((unsigned)__ix < (unsigned)_M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, false);
      return __word._M_pword;
    }
# 853 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
    virtual ~ios_base();

  protected:
    ios_base() throw ();
# 867 "/opt/sutton/include/c++/9.0.0/bits/ios_base.h" 3
  public:
    ios_base(const ios_base&) = delete;

    ios_base&
    operator=(const ios_base&) = delete;

  protected:
    void
    _M_move(ios_base&) noexcept;

    void
    _M_swap(ios_base& __rhs) noexcept;

  };



  inline ios_base&
  boolalpha(ios_base& __base)
  {
    __base.setf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  noboolalpha(ios_base& __base)
  {
    __base.unsetf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  showbase(ios_base& __base)
  {
    __base.setf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  noshowbase(ios_base& __base)
  {
    __base.unsetf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  showpoint(ios_base& __base)
  {
    __base.setf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  noshowpoint(ios_base& __base)
  {
    __base.unsetf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  showpos(ios_base& __base)
  {
    __base.setf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  noshowpos(ios_base& __base)
  {
    __base.unsetf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  skipws(ios_base& __base)
  {
    __base.setf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  noskipws(ios_base& __base)
  {
    __base.unsetf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  uppercase(ios_base& __base)
  {
    __base.setf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  nouppercase(ios_base& __base)
  {
    __base.unsetf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  unitbuf(ios_base& __base)
  {
     __base.setf(ios_base::unitbuf);
     return __base;
  }


  inline ios_base&
  nounitbuf(ios_base& __base)
  {
     __base.unsetf(ios_base::unitbuf);
     return __base;
  }



  inline ios_base&
  internal(ios_base& __base)
  {
     __base.setf(ios_base::internal, ios_base::adjustfield);
     return __base;
  }


  inline ios_base&
  left(ios_base& __base)
  {
    __base.setf(ios_base::left, ios_base::adjustfield);
    return __base;
  }


  inline ios_base&
  right(ios_base& __base)
  {
    __base.setf(ios_base::right, ios_base::adjustfield);
    return __base;
  }



  inline ios_base&
  dec(ios_base& __base)
  {
    __base.setf(ios_base::dec, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  hex(ios_base& __base)
  {
    __base.setf(ios_base::hex, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  oct(ios_base& __base)
  {
    __base.setf(ios_base::oct, ios_base::basefield);
    return __base;
  }



  inline ios_base&
  fixed(ios_base& __base)
  {
    __base.setf(ios_base::fixed, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  scientific(ios_base& __base)
  {
    __base.setf(ios_base::scientific, ios_base::floatfield);
    return __base;
  }






  inline ios_base&
  hexfloat(ios_base& __base)
  {
    __base.setf(ios_base::fixed | ios_base::scientific, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  defaultfloat(ios_base& __base)
  {
    __base.unsetf(ios_base::floatfield);
    return __base;
  }



}
# 43 "/opt/sutton/include/c++/9.0.0/ios" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/streambuf" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/streambuf" 3
       
# 37 "/opt/sutton/include/c++/9.0.0/streambuf" 3
# 45 "/opt/sutton/include/c++/9.0.0/streambuf" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>*,
     basic_streambuf<_CharT, _Traits>*, bool&);
# 121 "/opt/sutton/include/c++/9.0.0/streambuf" 3
  template<typename _CharT, typename _Traits>
    class basic_streambuf
    {
    public:






      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename traits_type::int_type int_type;
      typedef typename traits_type::pos_type pos_type;
      typedef typename traits_type::off_type off_type;




      typedef basic_streambuf<char_type, traits_type> __streambuf_type;


      friend class basic_ios<char_type, traits_type>;
      friend class basic_istream<char_type, traits_type>;
      friend class basic_ostream<char_type, traits_type>;
      friend class istreambuf_iterator<char_type, traits_type>;
      friend class ostreambuf_iterator<char_type, traits_type>;

      friend streamsize
      __copy_streambufs_eof<>(basic_streambuf*, basic_streambuf*, bool&);

      template<bool _IsMove, typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
        __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
      istreambuf_iterator<_CharT2> >::__type
        find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
        advance(istreambuf_iterator<_CharT2>&, _Distance);

      template<typename _CharT2, typename _Traits2>
        friend basic_istream<_CharT2, _Traits2>&
        operator>>(basic_istream<_CharT2, _Traits2>&, _CharT2*);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        operator>>(basic_istream<_CharT2, _Traits2>&,
     basic_string<_CharT2, _Traits2, _Alloc>&);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        getline(basic_istream<_CharT2, _Traits2>&,
  basic_string<_CharT2, _Traits2, _Alloc>&, _CharT2);

    protected:







      char_type* _M_in_beg;
      char_type* _M_in_cur;
      char_type* _M_in_end;
      char_type* _M_out_beg;
      char_type* _M_out_cur;
      char_type* _M_out_end;


      locale _M_buf_locale;

  public:

      virtual
      ~basic_streambuf()
      { }
# 215 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      locale
      pubimbue(const locale& __loc)
      {
 locale __tmp(this->getloc());
 this->imbue(__loc);
 _M_buf_locale = __loc;
 return __tmp;
      }
# 232 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      locale
      getloc() const
      { return _M_buf_locale; }
# 245 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      basic_streambuf*
      pubsetbuf(char_type* __s, streamsize __n)
      { return this->setbuf(__s, __n); }
# 257 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      pos_type
      pubseekoff(off_type __off, ios_base::seekdir __way,
   ios_base::openmode __mode = ios_base::in | ios_base::out)
      { return this->seekoff(__off, __way, __mode); }
# 269 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      pos_type
      pubseekpos(pos_type __sp,
   ios_base::openmode __mode = ios_base::in | ios_base::out)
      { return this->seekpos(__sp, __mode); }




      int
      pubsync() { return this->sync(); }
# 290 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      streamsize
      in_avail()
      {
 const streamsize __ret = this->egptr() - this->gptr();
 return __ret ? __ret : this->showmanyc();
      }
# 304 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      snextc()
      {
 int_type __ret = traits_type::eof();
 if (__builtin_expect(!traits_type::eq_int_type(this->sbumpc(),
             __ret), true))
   __ret = this->sgetc();
 return __ret;
      }
# 322 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      sbumpc()
      {
 int_type __ret;
 if (__builtin_expect(this->gptr() < this->egptr(), true))
   {
     __ret = traits_type::to_int_type(*this->gptr());
     this->gbump(1);
   }
 else
   __ret = this->uflow();
 return __ret;
      }
# 344 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      sgetc()
      {
 int_type __ret;
 if (__builtin_expect(this->gptr() < this->egptr(), true))
   __ret = traits_type::to_int_type(*this->gptr());
 else
   __ret = this->underflow();
 return __ret;
      }
# 363 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      streamsize
      sgetn(char_type* __s, streamsize __n)
      { return this->xsgetn(__s, __n); }
# 378 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      sputbackc(char_type __c)
      {
 int_type __ret;
 const bool __testpos = this->eback() < this->gptr();
 if (__builtin_expect(!__testpos ||
        !traits_type::eq(__c, this->gptr()[-1]), false))
   __ret = this->pbackfail(traits_type::to_int_type(__c));
 else
   {
     this->gbump(-1);
     __ret = traits_type::to_int_type(*this->gptr());
   }
 return __ret;
      }
# 403 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      sungetc()
      {
 int_type __ret;
 if (__builtin_expect(this->eback() < this->gptr(), true))
   {
     this->gbump(-1);
     __ret = traits_type::to_int_type(*this->gptr());
   }
 else
   __ret = this->pbackfail();
 return __ret;
      }
# 430 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      int_type
      sputc(char_type __c)
      {
 int_type __ret;
 if (__builtin_expect(this->pptr() < this->epptr(), true))
   {
     *this->pptr() = __c;
     this->pbump(1);
     __ret = traits_type::to_int_type(__c);
   }
 else
   __ret = this->overflow(traits_type::to_int_type(__c));
 return __ret;
      }
# 456 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      streamsize
      sputn(const char_type* __s, streamsize __n)
      { return this->xsputn(__s, __n); }

    protected:
# 470 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      basic_streambuf()
      : _M_in_beg(0), _M_in_cur(0), _M_in_end(0),
      _M_out_beg(0), _M_out_cur(0), _M_out_end(0),
      _M_buf_locale(locale())
      { }
# 488 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      char_type*
      eback() const { return _M_in_beg; }

      char_type*
      gptr() const { return _M_in_cur; }

      char_type*
      egptr() const { return _M_in_end; }
# 504 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      void
      gbump(int __n) { _M_in_cur += __n; }
# 515 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      void
      setg(char_type* __gbeg, char_type* __gnext, char_type* __gend)
      {
 _M_in_beg = __gbeg;
 _M_in_cur = __gnext;
 _M_in_end = __gend;
      }
# 535 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      char_type*
      pbase() const { return _M_out_beg; }

      char_type*
      pptr() const { return _M_out_cur; }

      char_type*
      epptr() const { return _M_out_end; }
# 551 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      void
      pbump(int __n) { _M_out_cur += __n; }
# 561 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      void
      setp(char_type* __pbeg, char_type* __pend)
      {
 _M_out_beg = _M_out_cur = __pbeg;
 _M_out_end = __pend;
      }
# 582 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual void
      imbue(const locale& __loc __attribute__ ((__unused__)))
      { }
# 597 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual basic_streambuf<char_type,_Traits>*
      setbuf(char_type*, streamsize)
      { return this; }
# 608 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual pos_type
      seekoff(off_type, ios_base::seekdir,
       ios_base::openmode = ios_base::in | ios_base::out)
      { return pos_type(off_type(-1)); }
# 620 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual pos_type
      seekpos(pos_type,
       ios_base::openmode = ios_base::in | ios_base::out)
      { return pos_type(off_type(-1)); }
# 633 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual int
      sync() { return 0; }
# 655 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual streamsize
      showmanyc() { return 0; }
# 671 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual streamsize
      xsgetn(char_type* __s, streamsize __n);
# 693 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual int_type
      underflow()
      { return traits_type::eof(); }
# 706 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual int_type
      uflow()
      {
 int_type __ret = traits_type::eof();
 const bool __testeof = traits_type::eq_int_type(this->underflow(),
       __ret);
 if (!__testeof)
   {
     __ret = traits_type::to_int_type(*this->gptr());
     this->gbump(1);
   }
 return __ret;
      }
# 730 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual int_type
      pbackfail(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }
# 748 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual streamsize
      xsputn(const char_type* __s, streamsize __n);
# 774 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      virtual int_type
      overflow(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }
# 803 "/opt/sutton/include/c++/9.0.0/streambuf" 3
      void
      __safe_gbump(streamsize __n) { _M_in_cur += __n; }

      void
      __safe_pbump(streamsize __n) { _M_out_cur += __n; }




    protected:

      basic_streambuf(const basic_streambuf&);

      basic_streambuf&
      operator=(const basic_streambuf&);


      void
      swap(basic_streambuf& __sb)
      {
 std::swap(_M_in_beg, __sb._M_in_beg);
 std::swap(_M_in_cur, __sb._M_in_cur);
 std::swap(_M_in_end, __sb._M_in_end);
 std::swap(_M_out_beg, __sb._M_out_beg);
 std::swap(_M_out_cur, __sb._M_out_cur);
 std::swap(_M_out_end, __sb._M_out_end);
 std::swap(_M_buf_locale, __sb._M_buf_locale);
      }

    };


  template<typename _CharT, typename _Traits>
    std::basic_streambuf<_CharT, _Traits>::
    basic_streambuf(const basic_streambuf&) = default;

  template<typename _CharT, typename _Traits>
    std::basic_streambuf<_CharT, _Traits>&
    std::basic_streambuf<_CharT, _Traits>::
    operator=(const basic_streambuf&) = default;



  template<>
    streamsize
    __copy_streambufs_eof(basic_streambuf<char>* __sbin,
     basic_streambuf<char>* __sbout, bool& __ineof);

  template<>
    streamsize
    __copy_streambufs_eof(basic_streambuf<wchar_t>* __sbin,
     basic_streambuf<wchar_t>* __sbout, bool& __ineof);





}

# 1 "/opt/sutton/include/c++/9.0.0/bits/streambuf.tcc" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/streambuf.tcc" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/streambuf.tcc" 3

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


  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsgetn(char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->egptr() - this->gptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(__s, this->gptr(), __len);
       __ret += __len;
       __s += __len;
       this->__safe_gbump(__len);
     }

   if (__ret < __n)
     {
       const int_type __c = this->uflow();
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    traits_type::assign(*__s++, traits_type::to_char_type(__c));
    ++__ret;
  }
       else
  break;
     }
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsputn(const char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->epptr() - this->pptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(this->pptr(), __s, __len);
       __ret += __len;
       __s += __len;
       this->__safe_pbump(__len);
     }

   if (__ret < __n)
     {
       int_type __c = this->overflow(traits_type::to_int_type(*__s));
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    ++__ret;
    ++__s;
  }
       else
  break;
     }
 }
      return __ret;
    }




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>* __sbin,
     basic_streambuf<_CharT, _Traits>* __sbout,
     bool& __ineof)
    {
      streamsize __ret = 0;
      __ineof = true;
      typename _Traits::int_type __c = __sbin->sgetc();
      while (!_Traits::eq_int_type(__c, _Traits::eof()))
 {
   __c = __sbout->sputc(_Traits::to_char_type(__c));
   if (_Traits::eq_int_type(__c, _Traits::eof()))
     {
       __ineof = false;
       break;
     }
   ++__ret;
   __c = __sbin->snextc();
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    inline streamsize
    __copy_streambufs(basic_streambuf<_CharT, _Traits>* __sbin,
        basic_streambuf<_CharT, _Traits>* __sbout)
    {
      bool __ineof;
      return __copy_streambufs_eof(__sbin, __sbout, __ineof);
    }




  extern template class basic_streambuf<char>;
  extern template
    streamsize
    __copy_streambufs(basic_streambuf<char>*,
        basic_streambuf<char>*);
  extern template
    streamsize
    __copy_streambufs_eof(basic_streambuf<char>*,
     basic_streambuf<char>*, bool&);


  extern template class basic_streambuf<wchar_t>;
  extern template
    streamsize
    __copy_streambufs(basic_streambuf<wchar_t>*,
        basic_streambuf<wchar_t>*);
  extern template
    streamsize
    __copy_streambufs_eof(basic_streambuf<wchar_t>*,
     basic_streambuf<wchar_t>*, bool&);




}
# 863 "/opt/sutton/include/c++/9.0.0/streambuf" 2 3
# 44 "/opt/sutton/include/c++/9.0.0/ios" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3



# 1 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/cwctype" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cwctype" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cwctype" 3
# 50 "/opt/sutton/include/c++/9.0.0/cwctype" 3
# 1 "/usr/include/wctype.h" 1 3 4
# 38 "/usr/include/wctype.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wctype-wchar.h" 1 3 4
# 38 "/usr/include/x86_64-linux-gnu/bits/wctype-wchar.h" 3 4
typedef unsigned long int wctype_t;
# 56 "/usr/include/x86_64-linux-gnu/bits/wctype-wchar.h" 3 4
enum
{
  __ISwupper = 0,
  __ISwlower = 1,
  __ISwalpha = 2,
  __ISwdigit = 3,
  __ISwxdigit = 4,
  __ISwspace = 5,
  __ISwprint = 6,
  __ISwgraph = 7,
  __ISwblank = 8,
  __ISwcntrl = 9,
  __ISwpunct = 10,
  __ISwalnum = 11,

  _ISwupper = ((__ISwupper) < 8 ? (int) ((1UL << (__ISwupper)) << 24) : ((__ISwupper) < 16 ? (int) ((1UL << (__ISwupper)) << 8) : ((__ISwupper) < 24 ? (int) ((1UL << (__ISwupper)) >> 8) : (int) ((1UL << (__ISwupper)) >> 24)))),
  _ISwlower = ((__ISwlower) < 8 ? (int) ((1UL << (__ISwlower)) << 24) : ((__ISwlower) < 16 ? (int) ((1UL << (__ISwlower)) << 8) : ((__ISwlower) < 24 ? (int) ((1UL << (__ISwlower)) >> 8) : (int) ((1UL << (__ISwlower)) >> 24)))),
  _ISwalpha = ((__ISwalpha) < 8 ? (int) ((1UL << (__ISwalpha)) << 24) : ((__ISwalpha) < 16 ? (int) ((1UL << (__ISwalpha)) << 8) : ((__ISwalpha) < 24 ? (int) ((1UL << (__ISwalpha)) >> 8) : (int) ((1UL << (__ISwalpha)) >> 24)))),
  _ISwdigit = ((__ISwdigit) < 8 ? (int) ((1UL << (__ISwdigit)) << 24) : ((__ISwdigit) < 16 ? (int) ((1UL << (__ISwdigit)) << 8) : ((__ISwdigit) < 24 ? (int) ((1UL << (__ISwdigit)) >> 8) : (int) ((1UL << (__ISwdigit)) >> 24)))),
  _ISwxdigit = ((__ISwxdigit) < 8 ? (int) ((1UL << (__ISwxdigit)) << 24) : ((__ISwxdigit) < 16 ? (int) ((1UL << (__ISwxdigit)) << 8) : ((__ISwxdigit) < 24 ? (int) ((1UL << (__ISwxdigit)) >> 8) : (int) ((1UL << (__ISwxdigit)) >> 24)))),
  _ISwspace = ((__ISwspace) < 8 ? (int) ((1UL << (__ISwspace)) << 24) : ((__ISwspace) < 16 ? (int) ((1UL << (__ISwspace)) << 8) : ((__ISwspace) < 24 ? (int) ((1UL << (__ISwspace)) >> 8) : (int) ((1UL << (__ISwspace)) >> 24)))),
  _ISwprint = ((__ISwprint) < 8 ? (int) ((1UL << (__ISwprint)) << 24) : ((__ISwprint) < 16 ? (int) ((1UL << (__ISwprint)) << 8) : ((__ISwprint) < 24 ? (int) ((1UL << (__ISwprint)) >> 8) : (int) ((1UL << (__ISwprint)) >> 24)))),
  _ISwgraph = ((__ISwgraph) < 8 ? (int) ((1UL << (__ISwgraph)) << 24) : ((__ISwgraph) < 16 ? (int) ((1UL << (__ISwgraph)) << 8) : ((__ISwgraph) < 24 ? (int) ((1UL << (__ISwgraph)) >> 8) : (int) ((1UL << (__ISwgraph)) >> 24)))),
  _ISwblank = ((__ISwblank) < 8 ? (int) ((1UL << (__ISwblank)) << 24) : ((__ISwblank) < 16 ? (int) ((1UL << (__ISwblank)) << 8) : ((__ISwblank) < 24 ? (int) ((1UL << (__ISwblank)) >> 8) : (int) ((1UL << (__ISwblank)) >> 24)))),
  _ISwcntrl = ((__ISwcntrl) < 8 ? (int) ((1UL << (__ISwcntrl)) << 24) : ((__ISwcntrl) < 16 ? (int) ((1UL << (__ISwcntrl)) << 8) : ((__ISwcntrl) < 24 ? (int) ((1UL << (__ISwcntrl)) >> 8) : (int) ((1UL << (__ISwcntrl)) >> 24)))),
  _ISwpunct = ((__ISwpunct) < 8 ? (int) ((1UL << (__ISwpunct)) << 24) : ((__ISwpunct) < 16 ? (int) ((1UL << (__ISwpunct)) << 8) : ((__ISwpunct) < 24 ? (int) ((1UL << (__ISwpunct)) >> 8) : (int) ((1UL << (__ISwpunct)) >> 24)))),
  _ISwalnum = ((__ISwalnum) < 8 ? (int) ((1UL << (__ISwalnum)) << 24) : ((__ISwalnum) < 16 ? (int) ((1UL << (__ISwalnum)) << 8) : ((__ISwalnum) < 24 ? (int) ((1UL << (__ISwalnum)) >> 8) : (int) ((1UL << (__ISwalnum)) >> 24))))
};



extern "C" {







extern int iswalnum (wint_t __wc) throw ();





extern int iswalpha (wint_t __wc) throw ();


extern int iswcntrl (wint_t __wc) throw ();



extern int iswdigit (wint_t __wc) throw ();



extern int iswgraph (wint_t __wc) throw ();




extern int iswlower (wint_t __wc) throw ();


extern int iswprint (wint_t __wc) throw ();




extern int iswpunct (wint_t __wc) throw ();




extern int iswspace (wint_t __wc) throw ();




extern int iswupper (wint_t __wc) throw ();




extern int iswxdigit (wint_t __wc) throw ();





extern int iswblank (wint_t __wc) throw ();
# 155 "/usr/include/x86_64-linux-gnu/bits/wctype-wchar.h" 3 4
extern wctype_t wctype (const char *__property) throw ();



extern int iswctype (wint_t __wc, wctype_t __desc) throw ();






extern wint_t towlower (wint_t __wc) throw ();


extern wint_t towupper (wint_t __wc) throw ();

}
# 39 "/usr/include/wctype.h" 2 3 4





extern "C" {



typedef const __int32_t *wctrans_t;



extern wctrans_t wctrans (const char *__property) throw ();


extern wint_t towctrans (wint_t __wc, wctrans_t __desc) throw ();







extern int iswalnum_l (wint_t __wc, locale_t __locale) throw ();





extern int iswalpha_l (wint_t __wc, locale_t __locale) throw ();


extern int iswcntrl_l (wint_t __wc, locale_t __locale) throw ();



extern int iswdigit_l (wint_t __wc, locale_t __locale) throw ();



extern int iswgraph_l (wint_t __wc, locale_t __locale) throw ();




extern int iswlower_l (wint_t __wc, locale_t __locale) throw ();


extern int iswprint_l (wint_t __wc, locale_t __locale) throw ();




extern int iswpunct_l (wint_t __wc, locale_t __locale) throw ();




extern int iswspace_l (wint_t __wc, locale_t __locale) throw ();




extern int iswupper_l (wint_t __wc, locale_t __locale) throw ();




extern int iswxdigit_l (wint_t __wc, locale_t __locale) throw ();




extern int iswblank_l (wint_t __wc, locale_t __locale) throw ();



extern wctype_t wctype_l (const char *__property, locale_t __locale)
     throw ();



extern int iswctype_l (wint_t __wc, wctype_t __desc, locale_t __locale)
     throw ();






extern wint_t towlower_l (wint_t __wc, locale_t __locale) throw ();


extern wint_t towupper_l (wint_t __wc, locale_t __locale) throw ();



extern wctrans_t wctrans_l (const char *__property, locale_t __locale)
     throw ();


extern wint_t towctrans_l (wint_t __wc, wctrans_t __desc,
      locale_t __locale) throw ();



}
# 51 "/opt/sutton/include/c++/9.0.0/cwctype" 2 3
# 80 "/opt/sutton/include/c++/9.0.0/cwctype" 3
namespace std
{
  using ::wctrans_t;
  using ::wctype_t;
  using ::wint_t;

  using ::iswalnum;
  using ::iswalpha;

  using ::iswblank;

  using ::iswcntrl;
  using ::iswctype;
  using ::iswdigit;
  using ::iswgraph;
  using ::iswlower;
  using ::iswprint;
  using ::iswpunct;
  using ::iswspace;
  using ::iswupper;
  using ::iswxdigit;
  using ::towctrans;
  using ::towlower;
  using ::towupper;
  using ::wctrans;
  using ::wctype;
}
# 40 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/cctype" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cctype" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cctype" 3
# 41 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/ctype_base.h" 1 3
# 36 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/ctype_base.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  struct ctype_base
  {

    typedef const int* __to_type;



    typedef unsigned short mask;
    static const mask upper = _ISupper;
    static const mask lower = _ISlower;
    static const mask alpha = _ISalpha;
    static const mask digit = _ISdigit;
    static const mask xdigit = _ISxdigit;
    static const mask space = _ISspace;
    static const mask print = _ISprint;
    static const mask graph = _ISalpha | _ISdigit | _ISpunct;
    static const mask cntrl = _IScntrl;
    static const mask punct = _ISpunct;
    static const mask alnum = _ISalpha | _ISdigit;

    static const mask blank = _ISblank;

  };


}
# 42 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3






# 1 "/opt/sutton/include/c++/9.0.0/bits/streambuf_iterator.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/streambuf_iterator.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/streambuf_iterator.h" 3




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

# 49 "/opt/sutton/include/c++/9.0.0/bits/streambuf_iterator.h" 3
  template<typename _CharT, typename _Traits>
    class istreambuf_iterator
    : public iterator<input_iterator_tag, _CharT, typename _Traits::off_type,
        _CharT*,


        _CharT>



    {
    public:



      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename _Traits::int_type int_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_istream<_CharT, _Traits> istream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

      template<bool _IsMove, typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
 __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        istreambuf_iterator<_CharT2> >::__type
 find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
 advance(istreambuf_iterator<_CharT2>&, _Distance);

    private:







      mutable streambuf_type* _M_sbuf;
      int_type _M_c;

    public:

      constexpr istreambuf_iterator() noexcept
      : _M_sbuf(0), _M_c(traits_type::eof()) { }


      istreambuf_iterator(const istreambuf_iterator&) noexcept = default;

      ~istreambuf_iterator() = default;



      istreambuf_iterator(istream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_c(traits_type::eof()) { }


      istreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_c(traits_type::eof()) { }


      istreambuf_iterator&
      operator=(const istreambuf_iterator&) noexcept = default;





      char_type
      operator*() const
      {
 int_type __c = _M_get();
# 144 "/opt/sutton/include/c++/9.0.0/bits/streambuf_iterator.h" 3
 return traits_type::to_char_type(__c);
      }


      istreambuf_iterator&
      operator++()
      {



                        ;

 _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return *this;
      }


      istreambuf_iterator
      operator++(int)
      {



                        ;

 istreambuf_iterator __old = *this;
 __old._M_c = _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return __old;
      }





      bool
      equal(const istreambuf_iterator& __b) const
      { return _M_at_eof() == __b._M_at_eof(); }

    private:
      int_type
      _M_get() const
      {
 int_type __ret = _M_c;
 if (_M_sbuf && _S_is_eof(__ret) && _S_is_eof(__ret = _M_sbuf->sgetc()))
   _M_sbuf = 0;
 return __ret;
      }

      bool
      _M_at_eof() const
      { return _S_is_eof(_M_get()); }

      static bool
      _S_is_eof(int_type __c)
      {
 const int_type __eof = traits_type::eof();
 return traits_type::eq_int_type(__c, __eof);
      }
    };

  template<typename _CharT, typename _Traits>
    inline bool
    operator==(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return __a.equal(__b); }

  template<typename _CharT, typename _Traits>
    inline bool
    operator!=(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return !__a.equal(__b); }


  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    public:



      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_ostream<_CharT, _Traits> ostream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

    private:
      streambuf_type* _M_sbuf;
      bool _M_failed;

    public:

      ostreambuf_iterator(ostream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator&
      operator=(_CharT __c)
      {
 if (!_M_failed &&
     _Traits::eq_int_type(_M_sbuf->sputc(__c), _Traits::eof()))
   _M_failed = true;
 return *this;
      }


      ostreambuf_iterator&
      operator*()
      { return *this; }


      ostreambuf_iterator&
      operator++(int)
      { return *this; }


      ostreambuf_iterator&
      operator++()
      { return *this; }


      bool
      failed() const noexcept
      { return _M_failed; }

      ostreambuf_iterator&
      _M_put(const _CharT* __ws, streamsize __len)
      {
 if (__builtin_expect(!_M_failed, true)
     && __builtin_expect(this->_M_sbuf->sputn(__ws, __len) != __len,
    false))
   _M_failed = true;
 return *this;
      }
    };


  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    copy(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last,
  ostreambuf_iterator<_CharT> __result)
    {
      if (__first._M_sbuf && !__last._M_sbuf && !__result._M_failed)
 {
   bool __ineof;
   __copy_streambufs_eof(__first._M_sbuf, __result._M_sbuf, __ineof);
   if (!__ineof)
     __result._M_failed = true;
 }
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(_CharT* __first, _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(const _CharT* __first, const _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT> __first,
     istreambuf_iterator<_CharT> __last, _CharT* __result)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, traits_type::eof()))
     {
       const streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    traits_type::copy(__result, __sb->gptr(), __n);
    __sb->__safe_gbump(__n);
    __result += __n;
    __c = __sb->underflow();
  }
       else
  {
    *__result++ = traits_type::to_char_type(__c);
    __c = __sb->snextc();
  }
     }
 }
      return __result;
    }

  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
          istreambuf_iterator<_CharT> >::__type
    find(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last, const _CharT& __val)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   const int_type __ival = traits_type::to_int_type(__val);
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, __eof)
   && !traits_type::eq_int_type(__c, __ival))
     {
       streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    const _CharT* __p = traits_type::find(__sb->gptr(),
       __n, __val);
    if (__p)
      __n = __p - __sb->gptr();
    __sb->__safe_gbump(__n);
    __c = __sb->sgetc();
  }
       else
  __c = __sb->snextc();
     }

   __first._M_c = __eof;
 }

      return __first;
    }

  template<typename _CharT, typename _Distance>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        void>::__type
    advance(istreambuf_iterator<_CharT>& __i, _Distance __n)
    {
      if (__n == 0)
 return;

      ;
     

                           ;

      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      streambuf_type* __sb = __i._M_sbuf;
      while (__n > 0)
 {
   streamsize __size = __sb->egptr() - __sb->gptr();
   if (__size > __n)
     {
       __sb->__safe_gbump(__n);
       break;
     }

   __sb->__safe_gbump(__size);
   __n -= __size;
   if (traits_type::eq_int_type(__sb->underflow(), __eof))
     {
      

                      ;
       break;
     }
 }

      __i._M_c = __eof;
    }




}
# 49 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3

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

# 67 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _Tp>
    void
    __convert_to_v(const char*, _Tp&, ios_base::iostate&,
     const __c_locale&) throw();


  template<>
    void
    __convert_to_v(const char*, float&, ios_base::iostate&,
     const __c_locale&) throw();

  template<>
    void
    __convert_to_v(const char*, double&, ios_base::iostate&,
     const __c_locale&) throw();

  template<>
    void
    __convert_to_v(const char*, long double&, ios_base::iostate&,
     const __c_locale&) throw();



  template<typename _CharT, typename _Traits>
    struct __pad
    {
      static void
      _S_pad(ios_base& __io, _CharT __fill, _CharT* __news,
      const _CharT* __olds, streamsize __newlen, streamsize __oldlen);
    };






  template<typename _CharT>
    _CharT*
    __add_grouping(_CharT* __s, _CharT __sep,
     const char* __gbeg, size_t __gsize,
     const _CharT* __first, const _CharT* __last);




  template<typename _CharT>
    inline
    ostreambuf_iterator<_CharT>
    __write(ostreambuf_iterator<_CharT> __s, const _CharT* __ws, int __len)
    {
      __s._M_put(__ws, __len);
      return __s;
    }


  template<typename _CharT, typename _OutIter>
    inline
    _OutIter
    __write(_OutIter __s, const _CharT* __ws, int __len)
    {
      for (int __j = 0; __j < __len; __j++, ++__s)
 *__s = __ws[__j];
      return __s;
    }
# 145 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _CharT>
    class __ctype_abstract_base : public locale::facet, public ctype_base
    {
    public:


      typedef _CharT char_type;
# 164 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      bool
      is(mask __m, char_type __c) const
      { return this->do_is(__m, __c); }
# 181 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      is(const char_type *__lo, const char_type *__hi, mask *__vec) const
      { return this->do_is(__lo, __hi, __vec); }
# 197 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      scan_is(mask __m, const char_type* __lo, const char_type* __hi) const
      { return this->do_scan_is(__m, __lo, __hi); }
# 213 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      scan_not(mask __m, const char_type* __lo, const char_type* __hi) const
      { return this->do_scan_not(__m, __lo, __hi); }
# 227 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 242 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 256 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 271 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 288 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      widen(char __c) const
      { return this->do_widen(__c); }
# 307 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char*
      widen(const char* __lo, const char* __hi, char_type* __to) const
      { return this->do_widen(__lo, __hi, __to); }
# 326 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char
      narrow(char_type __c, char __dfault) const
      { return this->do_narrow(__c, __dfault); }
# 348 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      narrow(const char_type* __lo, const char_type* __hi,
       char __dfault, char* __to) const
      { return this->do_narrow(__lo, __hi, __dfault, __to); }

    protected:
      explicit
      __ctype_abstract_base(size_t __refs = 0): facet(__refs) { }

      virtual
      ~__ctype_abstract_base() { }
# 373 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const = 0;
# 392 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi,
     mask* __vec) const = 0;
# 411 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo,
   const char_type* __hi) const = 0;
# 430 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const = 0;
# 448 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const = 0;
# 465 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const = 0;
# 481 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const = 0;
# 498 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const = 0;
# 517 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const = 0;
# 538 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const = 0;
# 559 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const = 0;
# 584 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const = 0;
    };
# 607 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _CharT>
    class ctype : public __ctype_abstract_base<_CharT>
    {
    public:

      typedef _CharT char_type;
      typedef typename __ctype_abstract_base<_CharT>::mask mask;


      static locale::id id;

      explicit
      ctype(size_t __refs = 0) : __ctype_abstract_base<_CharT>(__refs) { }

   protected:
      virtual
      ~ctype();

      virtual bool
      do_is(mask __m, char_type __c) const;

      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;

      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;

      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const;

      virtual char_type
      do_toupper(char_type __c) const;

      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;

      virtual char_type
      do_tolower(char_type __c) const;

      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;

      virtual char_type
      do_widen(char __c) const;

      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __dest) const;

      virtual char
      do_narrow(char_type, char __dfault) const;

      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const;
    };

  template<typename _CharT>
    locale::id ctype<_CharT>::id;
# 676 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<>
    class ctype<char> : public locale::facet, public ctype_base
    {
    public:


      typedef char char_type;

    protected:

      __c_locale _M_c_locale_ctype;
      bool _M_del;
      __to_type _M_toupper;
      __to_type _M_tolower;
      const mask* _M_table;
      mutable char _M_widen_ok;
      mutable char _M_widen[1 + static_cast<unsigned char>(-1)];
      mutable char _M_narrow[1 + static_cast<unsigned char>(-1)];
      mutable char _M_narrow_ok;


    public:

      static locale::id id;

      static const size_t table_size = 1 + static_cast<unsigned char>(-1);
# 713 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      ctype(const mask* __table = 0, bool __del = false, size_t __refs = 0);
# 726 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      ctype(__c_locale __cloc, const mask* __table = 0, bool __del = false,
     size_t __refs = 0);
# 739 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      inline bool
      is(mask __m, char __c) const;
# 754 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      inline const char*
      is(const char* __lo, const char* __hi, mask* __vec) const;
# 768 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      inline const char*
      scan_is(mask __m, const char* __lo, const char* __hi) const;
# 782 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      inline const char*
      scan_not(mask __m, const char* __lo, const char* __hi) const;
# 797 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 814 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 830 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 847 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 867 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      widen(char __c) const
      {
 if (_M_widen_ok)
   return _M_widen[static_cast<unsigned char>(__c)];
 this->_M_widen_init();
 return this->do_widen(__c);
      }
# 894 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char*
      widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 if (_M_widen_ok == 1)
   {
     __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_widen_ok)
   _M_widen_init();
 return this->do_widen(__lo, __hi, __to);
      }
# 925 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char
      narrow(char_type __c, char __dfault) const
      {
 if (_M_narrow[static_cast<unsigned char>(__c)])
   return _M_narrow[static_cast<unsigned char>(__c)];
 const char __t = do_narrow(__c, __dfault);
 if (__t != __dfault)
   _M_narrow[static_cast<unsigned char>(__c)] = __t;
 return __t;
      }
# 958 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      const char_type*
      narrow(const char_type* __lo, const char_type* __hi,
      char __dfault, char* __to) const
      {
 if (__builtin_expect(_M_narrow_ok == 1, true))
   {
     __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_narrow_ok)
   _M_narrow_init();
 return this->do_narrow(__lo, __hi, __dfault, __to);
      }





      const mask*
      table() const throw()
      { return _M_table; }


      static const mask*
      classic_table() throw();
    protected:







      virtual
      ~ctype();
# 1007 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1024 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1040 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1057 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1077 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const
      { return __c; }
# 1100 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }
# 1126 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault __attribute__((__unused__))) const
      { return __c; }
# 1152 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault __attribute__((__unused__)), char* __to) const
      {
 __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }

    private:
      void _M_narrow_init() const;
      void _M_widen_init() const;
    };
# 1177 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<>
    class ctype<wchar_t> : public __ctype_abstract_base<wchar_t>
    {
    public:


      typedef wchar_t char_type;
      typedef wctype_t __wmask_type;

    protected:
      __c_locale _M_c_locale_ctype;


      bool _M_narrow_ok;
      char _M_narrow[128];
      wint_t _M_widen[1 + static_cast<unsigned char>(-1)];


      mask _M_bit[16];
      __wmask_type _M_wmask[16];

    public:


      static locale::id id;
# 1210 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      ctype(size_t __refs = 0);
# 1221 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      ctype(__c_locale __cloc, size_t __refs = 0);

    protected:
      __wmask_type
      _M_convert_to_wmask(const mask __m) const throw();


      virtual
      ~ctype();
# 1245 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const;
# 1264 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;
# 1282 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;
# 1300 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const;
# 1317 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1334 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1350 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1367 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1387 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const;
# 1409 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const;
# 1432 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const;
# 1458 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const;


      void
      _M_initialize_ctype() throw();
    };



  template<typename _CharT>
    class ctype_byname : public ctype<_CharT>
    {
    public:
      typedef typename ctype<_CharT>::mask mask;

      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0)
      : ctype_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~ctype_byname() { }
    };


  template<>
    class ctype_byname<char> : public ctype<char>
    {
    public:
      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0);


    protected:
      virtual
      ~ctype_byname();
    };


  template<>
    class ctype_byname<wchar_t> : public ctype<wchar_t>
    {
    public:
      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0);


    protected:
      virtual
      ~ctype_byname();
    };



}


# 1 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/ctype_inline.h" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/x86_64-pc-linux-gnu/bits/ctype_inline.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  bool
  ctype<char>::
  is(mask __m, char __c) const
  { return _M_table[static_cast<unsigned char>(__c)] & __m; }

  const char*
  ctype<char>::
  is(const char* __low, const char* __high, mask* __vec) const
  {
    while (__low < __high)
      *__vec++ = _M_table[static_cast<unsigned char>(*__low++)];
    return __high;
  }

  const char*
  ctype<char>::
  scan_is(mask __m, const char* __low, const char* __high) const
  {
    while (__low < __high
    && !(_M_table[static_cast<unsigned char>(*__low)] & __m))
      ++__low;
    return __low;
  }

  const char*
  ctype<char>::
  scan_not(mask __m, const char* __low, const char* __high) const
  {
    while (__low < __high
    && (_M_table[static_cast<unsigned char>(*__low)] & __m) != 0)
      ++__low;
    return __low;
  }


}
# 1531 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3

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



  class __num_base
  {
  public:


    enum
      {
 _S_ominus,
 _S_oplus,
 _S_ox,
 _S_oX,
 _S_odigits,
 _S_odigits_end = _S_odigits + 16,
 _S_oudigits = _S_odigits_end,
 _S_oudigits_end = _S_oudigits + 16,
 _S_oe = _S_odigits + 14,
 _S_oE = _S_oudigits + 14,
 _S_oend = _S_oudigits_end
      };






    static const char* _S_atoms_out;



    static const char* _S_atoms_in;

    enum
    {
      _S_iminus,
      _S_iplus,
      _S_ix,
      _S_iX,
      _S_izero,
      _S_ie = _S_izero + 14,
      _S_iE = _S_izero + 20,
      _S_iend = 26
    };



    static void
    _S_format_float(const ios_base& __io, char* __fptr, char __mod) throw();
  };

  template<typename _CharT>
    struct __numpunct_cache : public locale::facet
    {
      const char* _M_grouping;
      size_t _M_grouping_size;
      bool _M_use_grouping;
      const _CharT* _M_truename;
      size_t _M_truename_size;
      const _CharT* _M_falsename;
      size_t _M_falsename_size;
      _CharT _M_decimal_point;
      _CharT _M_thousands_sep;





      _CharT _M_atoms_out[__num_base::_S_oend];





      _CharT _M_atoms_in[__num_base::_S_iend];

      bool _M_allocated;

      __numpunct_cache(size_t __refs = 0)
      : facet(__refs), _M_grouping(0), _M_grouping_size(0),
 _M_use_grouping(false),
 _M_truename(0), _M_truename_size(0), _M_falsename(0),
 _M_falsename_size(0), _M_decimal_point(_CharT()),
 _M_thousands_sep(_CharT()), _M_allocated(false)
 { }

      ~__numpunct_cache();

      void
      _M_cache(const locale& __loc);

    private:
      __numpunct_cache&
      operator=(const __numpunct_cache&);

      explicit
      __numpunct_cache(const __numpunct_cache&);
    };

  template<typename _CharT>
    __numpunct_cache<_CharT>::~__numpunct_cache()
    {
      if (_M_allocated)
 {
   delete [] _M_grouping;
   delete [] _M_truename;
   delete [] _M_falsename;
 }
    }

namespace __cxx11 {
# 1661 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _CharT>
    class numpunct : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      typedef __numpunct_cache<_CharT> __cache_type;

    protected:
      __cache_type* _M_data;

    public:

      static locale::id id;






      explicit
      numpunct(size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_numpunct(); }
# 1699 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      numpunct(__cache_type* __cache, size_t __refs = 0)
      : facet(__refs), _M_data(__cache)
      { _M_initialize_numpunct(); }
# 1713 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      numpunct(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_numpunct(__cloc); }
# 1727 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      decimal_point() const
      { return this->do_decimal_point(); }
# 1740 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      char_type
      thousands_sep() const
      { return this->do_thousands_sep(); }
# 1771 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      string
      grouping() const
      { return this->do_grouping(); }
# 1784 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      string_type
      truename() const
      { return this->do_truename(); }
# 1797 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      string_type
      falsename() const
      { return this->do_falsename(); }

    protected:

      virtual
      ~numpunct();
# 1814 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_decimal_point() const
      { return _M_data->_M_decimal_point; }
# 1826 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual char_type
      do_thousands_sep() const
      { return _M_data->_M_thousands_sep; }
# 1839 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual string
      do_grouping() const
      { return _M_data->_M_grouping; }
# 1852 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual string_type
      do_truename() const
      { return _M_data->_M_truename; }
# 1865 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual string_type
      do_falsename() const
      { return _M_data->_M_falsename; }


      void
      _M_initialize_numpunct(__c_locale __cloc = 0);
    };

  template<typename _CharT>
    locale::id numpunct<_CharT>::id;

  template<>
    numpunct<char>::~numpunct();

  template<>
    void
    numpunct<char>::_M_initialize_numpunct(__c_locale __cloc);


  template<>
    numpunct<wchar_t>::~numpunct();

  template<>
    void
    numpunct<wchar_t>::_M_initialize_numpunct(__c_locale __cloc);



  template<typename _CharT>
    class numpunct_byname : public numpunct<_CharT>
    {
    public:
      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      explicit
      numpunct_byname(const char* __s, size_t __refs = 0)
      : numpunct<_CharT>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     __c_locale __tmp;
     this->_S_create_c_locale(__tmp, __s);
     this->_M_initialize_numpunct(__tmp);
     this->_S_destroy_c_locale(__tmp);
   }
      }


      explicit
      numpunct_byname(const string& __s, size_t __refs = 0)
      : numpunct_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~numpunct_byname() { }
    };

}


# 1943 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _CharT, typename _InIter>
    class num_get : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _InIter iter_type;



      static locale::id id;
# 1964 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      num_get(size_t __refs = 0) : facet(__refs) { }
# 1990 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, bool& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2027 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned short& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned int& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }


      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned long long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2087 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, float& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, double& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long double& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2130 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, void*& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

    protected:

      virtual ~num_get() { }

      __attribute ((__abi_tag__ ("cxx11")))
      iter_type
      _M_extract_float(iter_type, iter_type, ios_base&, ios_base::iostate&,
         string&) const;

      template<typename _ValueT>
 __attribute ((__abi_tag__ ("cxx11")))
 iter_type
 _M_extract_int(iter_type, iter_type, ios_base&, ios_base::iostate&,
         _ValueT&) const;

      template<typename _CharT2>
      typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value, int>::__type
 _M_find(const _CharT2*, size_t __len, _CharT2 __c) const
 {
   int __ret = -1;
   if (__len <= 10)
     {
       if (__c >= _CharT2('0') && __c < _CharT2(_CharT2('0') + __len))
  __ret = __c - _CharT2('0');
     }
   else
     {
       if (__c >= _CharT2('0') && __c <= _CharT2('9'))
  __ret = __c - _CharT2('0');
       else if (__c >= _CharT2('a') && __c <= _CharT2('f'))
  __ret = 10 + (__c - _CharT2('a'));
       else if (__c >= _CharT2('A') && __c <= _CharT2('F'))
  __ret = 10 + (__c - _CharT2('A'));
     }
   return __ret;
 }

      template<typename _CharT2>
      typename __gnu_cxx::__enable_if<!__is_char<_CharT2>::__value,
          int>::__type
 _M_find(const _CharT2* __zero, size_t __len, _CharT2 __c) const
 {
   int __ret = -1;
   const char_type* __q = char_traits<_CharT2>::find(__zero, __len, __c);
   if (__q)
     {
       __ret = __q - __zero;
       if (__ret > 15)
  __ret -= 6;
     }
   return __ret;
 }
# 2203 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, bool&) const;

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned short& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned int& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, float&) const;

      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      double&) const;







      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      long double&) const;


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, void*&) const;
# 2266 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
    };

  template<typename _CharT, typename _InIter>
    locale::id num_get<_CharT, _InIter>::id;
# 2284 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
  template<typename _CharT, typename _OutIter>
    class num_put : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _OutIter iter_type;



      static locale::id id;
# 2305 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      explicit
      num_put(size_t __refs = 0) : facet(__refs) { }
# 2323 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2365 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   unsigned long __v) const
      { return this->do_put(__s, __io, __fill, __v); }


      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, long long __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   unsigned long long __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2428 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   long double __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2453 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   const void* __v) const
      { return this->do_put(__s, __io, __fill, __v); }

    protected:
      template<typename _ValueT>
 iter_type
 _M_insert_float(iter_type, ios_base& __io, char_type __fill,
   char __mod, _ValueT __v) const;

      void
      _M_group_float(const char* __grouping, size_t __grouping_size,
       char_type __sep, const char_type* __p, char_type* __new,
       char_type* __cs, int& __len) const;

      template<typename _ValueT>
 iter_type
 _M_insert_int(iter_type, ios_base& __io, char_type __fill,
        _ValueT __v) const;

      void
      _M_group_int(const char* __grouping, size_t __grouping_size,
     char_type __sep, ios_base& __io, char_type* __new,
     char_type* __cs, int& __len) const;

      void
      _M_pad(char_type __fill, streamsize __w, ios_base& __io,
      char_type* __new, const char_type* __cs, int& __len) const;


      virtual
      ~num_put() { }
# 2501 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 3
      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const;

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, double) const;






      virtual iter_type
      do_put(iter_type, ios_base&, char_type, long double) const;


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, const void*) const;







    };

  template <typename _CharT, typename _OutIter>
    locale::id num_put<_CharT, _OutIter>::id;









  template<typename _CharT>
    inline bool
    isspace(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::space, __c); }


  template<typename _CharT>
    inline bool
    isprint(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::print, __c); }


  template<typename _CharT>
    inline bool
    iscntrl(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::cntrl, __c); }


  template<typename _CharT>
    inline bool
    isupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::upper, __c); }


  template<typename _CharT>
    inline bool
    islower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::lower, __c); }


  template<typename _CharT>
    inline bool
    isalpha(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alpha, __c); }


  template<typename _CharT>
    inline bool
    isdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::digit, __c); }


  template<typename _CharT>
    inline bool
    ispunct(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::punct, __c); }


  template<typename _CharT>
    inline bool
    isxdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::xdigit, __c); }


  template<typename _CharT>
    inline bool
    isalnum(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alnum, __c); }


  template<typename _CharT>
    inline bool
    isgraph(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::graph, __c); }



  template<typename _CharT>
    inline bool
    isblank(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::blank, __c); }



  template<typename _CharT>
    inline _CharT
    toupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).toupper(__c); }


  template<typename _CharT>
    inline _CharT
    tolower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).tolower(__c); }


}

# 1 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3

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




  template<typename _Facet>
    struct __use_cache
    {
      const _Facet*
      operator() (const locale& __loc) const;
    };


  template<typename _CharT>
    struct __use_cache<__numpunct_cache<_CharT> >
    {
      const __numpunct_cache<_CharT>*
      operator() (const locale& __loc) const
      {
 const size_t __i = numpunct<_CharT>::id._M_id();
 const locale::facet** __caches = __loc._M_impl->_M_caches;
 if (!__caches[__i])
   {
     __numpunct_cache<_CharT>* __tmp = 0;
     try
       {
  __tmp = new __numpunct_cache<_CharT>;
  __tmp->_M_cache(__loc);
       }
     catch(...)
       {
  delete __tmp;
  throw;
       }
     __loc._M_impl->_M_install_cache(__tmp, __i);
   }
 return static_cast<const __numpunct_cache<_CharT>*>(__caches[__i]);
      }
    };

  template<typename _CharT>
    void
    __numpunct_cache<_CharT>::_M_cache(const locale& __loc)
    {
      const numpunct<_CharT>& __np = use_facet<numpunct<_CharT> >(__loc);

      char* __grouping = 0;
      _CharT* __truename = 0;
      _CharT* __falsename = 0;
      try
 {
   const string& __g = __np.grouping();
   _M_grouping_size = __g.size();
   __grouping = new char[_M_grouping_size];
   __g.copy(__grouping, _M_grouping_size);
   _M_use_grouping = (_M_grouping_size
        && static_cast<signed char>(__grouping[0]) > 0
        && (__grouping[0]
     != __gnu_cxx::__numeric_traits<char>::__max));

   const basic_string<_CharT>& __tn = __np.truename();
   _M_truename_size = __tn.size();
   __truename = new _CharT[_M_truename_size];
   __tn.copy(__truename, _M_truename_size);

   const basic_string<_CharT>& __fn = __np.falsename();
   _M_falsename_size = __fn.size();
   __falsename = new _CharT[_M_falsename_size];
   __fn.copy(__falsename, _M_falsename_size);

   _M_decimal_point = __np.decimal_point();
   _M_thousands_sep = __np.thousands_sep();

   const ctype<_CharT>& __ct = use_facet<ctype<_CharT> >(__loc);
   __ct.widen(__num_base::_S_atoms_out,
       __num_base::_S_atoms_out
       + __num_base::_S_oend, _M_atoms_out);
   __ct.widen(__num_base::_S_atoms_in,
       __num_base::_S_atoms_in
       + __num_base::_S_iend, _M_atoms_in);

   _M_grouping = __grouping;
   _M_truename = __truename;
   _M_falsename = __falsename;
   _M_allocated = true;
 }
      catch(...)
 {
   delete [] __grouping;
   delete [] __truename;
   delete [] __falsename;
   throw;
 }
    }
# 139 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
  __attribute__ ((__pure__)) bool
  __verify_grouping(const char* __grouping, size_t __grouping_size,
      const string& __grouping_tmp) throw ();



  template<typename _CharT, typename _InIter>
    __attribute ((__abi_tag__ ("cxx11")))
    _InIter
    num_get<_CharT, _InIter>::
    _M_extract_float(_InIter __beg, _InIter __end, ios_base& __io,
       ios_base::iostate& __err, string& __xtrc) const
    {
      typedef char_traits<_CharT> __traits_type;
      typedef __numpunct_cache<_CharT> __cache_type;
      __use_cache<__cache_type> __uc;
      const locale& __loc = __io._M_getloc();
      const __cache_type* __lc = __uc(__loc);
      const _CharT* __lit = __lc->_M_atoms_in;
      char_type __c = char_type();


      bool __testeof = __beg == __end;


      if (!__testeof)
 {
   __c = *__beg;
   const bool __plus = __c == __lit[__num_base::_S_iplus];
   if ((__plus || __c == __lit[__num_base::_S_iminus])
       && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       && !(__c == __lc->_M_decimal_point))
     {
       __xtrc += __plus ? '+' : '-';
       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
 }


      bool __found_mantissa = false;
      int __sep_pos = 0;
      while (!__testeof)
 {
   if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       || __c == __lc->_M_decimal_point)
     break;
   else if (__c == __lit[__num_base::_S_izero])
     {
       if (!__found_mantissa)
  {
    __xtrc += '0';
    __found_mantissa = true;
  }
       ++__sep_pos;

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
   else
     break;
 }


      bool __found_dec = false;
      bool __found_sci = false;
      string __found_grouping;
      if (__lc->_M_use_grouping)
 __found_grouping.reserve(32);
      const char_type* __lit_zero = __lit + __num_base::_S_izero;

      if (!__lc->_M_allocated)

 while (!__testeof)
   {
     const int __digit = _M_find(__lit_zero, 10, __c);
     if (__digit != -1)
       {
  __xtrc += '0' + __digit;
  __found_mantissa = true;
       }
     else if (__c == __lc->_M_decimal_point
       && !__found_dec && !__found_sci)
       {
  __xtrc += '.';
  __found_dec = true;
       }
     else if ((__c == __lit[__num_base::_S_ie]
        || __c == __lit[__num_base::_S_iE])
       && !__found_sci && __found_mantissa)
       {

  __xtrc += 'e';
  __found_sci = true;


  if (++__beg != __end)
    {
      __c = *__beg;
      const bool __plus = __c == __lit[__num_base::_S_iplus];
      if (__plus || __c == __lit[__num_base::_S_iminus])
        __xtrc += __plus ? '+' : '-';
      else
        continue;
    }
  else
    {
      __testeof = true;
      break;
    }
       }
     else
       break;

     if (++__beg != __end)
       __c = *__beg;
     else
       __testeof = true;
   }
      else
 while (!__testeof)
   {


     if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       {
  if (!__found_dec && !__found_sci)
    {


      if (__sep_pos)
        {
   __found_grouping += static_cast<char>(__sep_pos);
   __sep_pos = 0;
        }
      else
        {


   __xtrc.clear();
   break;
        }
    }
  else
    break;
       }
     else if (__c == __lc->_M_decimal_point)
       {
  if (!__found_dec && !__found_sci)
    {



      if (__found_grouping.size())
        __found_grouping += static_cast<char>(__sep_pos);
      __xtrc += '.';
      __found_dec = true;
    }
  else
    break;
       }
     else
       {
  const char_type* __q =
    __traits_type::find(__lit_zero, 10, __c);
  if (__q)
    {
      __xtrc += '0' + (__q - __lit_zero);
      __found_mantissa = true;
      ++__sep_pos;
    }
  else if ((__c == __lit[__num_base::_S_ie]
     || __c == __lit[__num_base::_S_iE])
    && !__found_sci && __found_mantissa)
    {

      if (__found_grouping.size() && !__found_dec)
        __found_grouping += static_cast<char>(__sep_pos);
      __xtrc += 'e';
      __found_sci = true;


      if (++__beg != __end)
        {
   __c = *__beg;
   const bool __plus = __c == __lit[__num_base::_S_iplus];
   if ((__plus || __c == __lit[__num_base::_S_iminus])
       && !(__lc->_M_use_grouping
     && __c == __lc->_M_thousands_sep)
       && !(__c == __lc->_M_decimal_point))
        __xtrc += __plus ? '+' : '-';
   else
     continue;
        }
      else
        {
   __testeof = true;
   break;
        }
    }
  else
    break;
       }

     if (++__beg != __end)
       __c = *__beg;
     else
       __testeof = true;
   }



      if (__found_grouping.size())
        {

   if (!__found_dec && !__found_sci)
     __found_grouping += static_cast<char>(__sep_pos);

          if (!std::__verify_grouping(__lc->_M_grouping,
          __lc->_M_grouping_size,
          __found_grouping))
     __err = ios_base::failbit;
        }

      return __beg;
    }

  template<typename _CharT, typename _InIter>
    template<typename _ValueT>
      __attribute ((__abi_tag__ ("cxx11")))
      _InIter
      num_get<_CharT, _InIter>::
      _M_extract_int(_InIter __beg, _InIter __end, ios_base& __io,
       ios_base::iostate& __err, _ValueT& __v) const
      {
        typedef char_traits<_CharT> __traits_type;
 using __gnu_cxx::__add_unsigned;
 typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);
 const _CharT* __lit = __lc->_M_atoms_in;
 char_type __c = char_type();


 const ios_base::fmtflags __basefield = __io.flags()
                                        & ios_base::basefield;
 const bool __oct = __basefield == ios_base::oct;
 int __base = __oct ? 8 : (__basefield == ios_base::hex ? 16 : 10);


 bool __testeof = __beg == __end;


 bool __negative = false;
 if (!__testeof)
   {
     __c = *__beg;
     __negative = __c == __lit[__num_base::_S_iminus];
     if ((__negative || __c == __lit[__num_base::_S_iplus])
  && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  && !(__c == __lc->_M_decimal_point))
       {
  if (++__beg != __end)
    __c = *__beg;
  else
    __testeof = true;
       }
   }



 bool __found_zero = false;
 int __sep_pos = 0;
 while (!__testeof)
   {
     if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  || __c == __lc->_M_decimal_point)
       break;
     else if (__c == __lit[__num_base::_S_izero]
       && (!__found_zero || __base == 10))
       {
  __found_zero = true;
  ++__sep_pos;
  if (__basefield == 0)
    __base = 8;
  if (__base == 8)
    __sep_pos = 0;
       }
     else if (__found_zero
       && (__c == __lit[__num_base::_S_ix]
    || __c == __lit[__num_base::_S_iX]))
       {
  if (__basefield == 0)
    __base = 16;
  if (__base == 16)
    {
      __found_zero = false;
      __sep_pos = 0;
    }
  else
    break;
       }
     else
       break;

     if (++__beg != __end)
       {
  __c = *__beg;
  if (!__found_zero)
    break;
       }
     else
       __testeof = true;
   }



 const size_t __len = (__base == 16 ? __num_base::_S_iend
         - __num_base::_S_izero : __base);


 typedef __gnu_cxx::__numeric_traits<_ValueT> __num_traits;
 string __found_grouping;
 if (__lc->_M_use_grouping)
   __found_grouping.reserve(32);
 bool __testfail = false;
 bool __testoverflow = false;
 const __unsigned_type __max =
   (__negative && __num_traits::__is_signed)
   ? -static_cast<__unsigned_type>(__num_traits::__min)
   : __num_traits::__max;
 const __unsigned_type __smax = __max / __base;
 __unsigned_type __result = 0;
 int __digit = 0;
 const char_type* __lit_zero = __lit + __num_base::_S_izero;

 if (!__lc->_M_allocated)

   while (!__testeof)
     {
       __digit = _M_find(__lit_zero, __len, __c);
       if (__digit == -1)
  break;

       if (__result > __smax)
  __testoverflow = true;
       else
  {
    __result *= __base;
    __testoverflow |= __result > __max - __digit;
    __result += __digit;
    ++__sep_pos;
  }

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
 else
   while (!__testeof)
     {


       if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  {


    if (__sep_pos)
      {
        __found_grouping += static_cast<char>(__sep_pos);
        __sep_pos = 0;
      }
    else
      {
        __testfail = true;
        break;
      }
  }
       else if (__c == __lc->_M_decimal_point)
  break;
       else
  {
    const char_type* __q =
      __traits_type::find(__lit_zero, __len, __c);
    if (!__q)
      break;

    __digit = __q - __lit_zero;
    if (__digit > 15)
      __digit -= 6;
    if (__result > __smax)
      __testoverflow = true;
    else
      {
        __result *= __base;
        __testoverflow |= __result > __max - __digit;
        __result += __digit;
        ++__sep_pos;
      }
  }

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }



 if (__found_grouping.size())
   {

     __found_grouping += static_cast<char>(__sep_pos);

     if (!std::__verify_grouping(__lc->_M_grouping,
     __lc->_M_grouping_size,
     __found_grouping))
       __err = ios_base::failbit;
   }



 if ((!__sep_pos && !__found_zero && !__found_grouping.size())
     || __testfail)
   {
     __v = 0;
     __err = ios_base::failbit;
   }
 else if (__testoverflow)
   {
     if (__negative && __num_traits::__is_signed)
       __v = __num_traits::__min;
     else
       __v = __num_traits::__max;
     __err = ios_base::failbit;
   }
 else
   __v = __negative ? -__result : __result;

 if (__testeof)
   __err |= ios_base::eofbit;
 return __beg;
      }



  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, bool& __v) const
    {
      if (!(__io.flags() & ios_base::boolalpha))
        {



   long __l = -1;
          __beg = _M_extract_int(__beg, __end, __io, __err, __l);
   if (__l == 0 || __l == 1)
     __v = bool(__l);
   else
     {


       __v = true;
       __err = ios_base::failbit;
       if (__beg == __end)
  __err |= ios_base::eofbit;
     }
        }
      else
        {

   typedef __numpunct_cache<_CharT> __cache_type;
   __use_cache<__cache_type> __uc;
   const locale& __loc = __io._M_getloc();
   const __cache_type* __lc = __uc(__loc);

   bool __testf = true;
   bool __testt = true;
   bool __donef = __lc->_M_falsename_size == 0;
   bool __donet = __lc->_M_truename_size == 0;
   bool __testeof = false;
   size_t __n = 0;
   while (!__donef || !__donet)
     {
       if (__beg == __end)
  {
    __testeof = true;
    break;
  }

       const char_type __c = *__beg;

       if (!__donef)
  __testf = __c == __lc->_M_falsename[__n];

       if (!__testf && __donet)
  break;

       if (!__donet)
  __testt = __c == __lc->_M_truename[__n];

       if (!__testt && __donef)
  break;

       if (!__testt && !__testf)
  break;

       ++__n;
       ++__beg;

       __donef = !__testf || __n >= __lc->_M_falsename_size;
       __donet = !__testt || __n >= __lc->_M_truename_size;
     }
   if (__testf && __n == __lc->_M_falsename_size && __n)
     {
       __v = false;
       if (__testt && __n == __lc->_M_truename_size)
  __err = ios_base::failbit;
       else
  __err = __testeof ? ios_base::eofbit : ios_base::goodbit;
     }
   else if (__testt && __n == __lc->_M_truename_size && __n)
     {
       __v = true;
       __err = __testeof ? ios_base::eofbit : ios_base::goodbit;
     }
   else
     {


       __v = false;
       __err = ios_base::failbit;
       if (__testeof)
  __err |= ios_base::eofbit;
     }
 }
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, float& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, double& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }
# 735 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, long double& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, void*& __v) const
    {

      typedef ios_base::fmtflags fmtflags;
      const fmtflags __fmt = __io.flags();
      __io.flags((__fmt & ~ios_base::basefield) | ios_base::hex);

      typedef __gnu_cxx::__conditional_type<(sizeof(void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      _UIntPtrType __ul;
      __beg = _M_extract_int(__beg, __end, __io, __err, __ul);


      __io.flags(__fmt);

      __v = reinterpret_cast<void*>(__ul);
      return __beg;
    }



  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_pad(_CharT __fill, streamsize __w, ios_base& __io,
    _CharT* __new, const _CharT* __cs, int& __len) const
    {


      __pad<_CharT, char_traits<_CharT> >::_S_pad(__io, __fill, __new,
        __cs, __w, __len);
      __len = static_cast<int>(__w);
    }



  template<typename _CharT, typename _ValueT>
    int
    __int_to_char(_CharT* __bufend, _ValueT __v, const _CharT* __lit,
    ios_base::fmtflags __flags, bool __dec)
    {
      _CharT* __buf = __bufend;
      if (__builtin_expect(__dec, true))
 {

   do
     {
       *--__buf = __lit[(__v % 10) + __num_base::_S_odigits];
       __v /= 10;
     }
   while (__v != 0);
 }
      else if ((__flags & ios_base::basefield) == ios_base::oct)
 {

   do
     {
       *--__buf = __lit[(__v & 0x7) + __num_base::_S_odigits];
       __v >>= 3;
     }
   while (__v != 0);
 }
      else
 {

   const bool __uppercase = __flags & ios_base::uppercase;
   const int __case_offset = __uppercase ? __num_base::_S_oudigits
                                         : __num_base::_S_odigits;
   do
     {
       *--__buf = __lit[(__v & 0xf) + __case_offset];
       __v >>= 4;
     }
   while (__v != 0);
 }
      return __bufend - __buf;
    }



  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_int(const char* __grouping, size_t __grouping_size, _CharT __sep,
   ios_base&, _CharT* __new, _CharT* __cs, int& __len) const
    {
      _CharT* __p = std::__add_grouping(__new, __sep, __grouping,
     __grouping_size, __cs, __cs + __len);
      __len = __p - __new;
    }

  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_int(_OutIter __s, ios_base& __io, _CharT __fill,
      _ValueT __v) const
      {
 using __gnu_cxx::__add_unsigned;
 typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);
 const _CharT* __lit = __lc->_M_atoms_out;
 const ios_base::fmtflags __flags = __io.flags();


 const int __ilen = 5 * sizeof(_ValueT);
 _CharT* __cs = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __ilen));



 const ios_base::fmtflags __basefield = __flags & ios_base::basefield;
 const bool __dec = (__basefield != ios_base::oct
       && __basefield != ios_base::hex);
 const __unsigned_type __u = ((__v > 0 || !__dec)
         ? __unsigned_type(__v)
         : -__unsigned_type(__v));
  int __len = __int_to_char(__cs + __ilen, __u, __lit, __flags, __dec);
 __cs += __ilen - __len;


 if (__lc->_M_use_grouping)
   {


     _CharT* __cs2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * (__len + 1)
          * 2));
     _M_group_int(__lc->_M_grouping, __lc->_M_grouping_size,
    __lc->_M_thousands_sep, __io, __cs2 + 2, __cs, __len);
     __cs = __cs2 + 2;
   }


 if (__builtin_expect(__dec, true))
   {

     if (__v >= 0)
       {
  if (bool(__flags & ios_base::showpos)
      && __gnu_cxx::__numeric_traits<_ValueT>::__is_signed)
    *--__cs = __lit[__num_base::_S_oplus], ++__len;
       }
     else
       *--__cs = __lit[__num_base::_S_ominus], ++__len;
   }
 else if (bool(__flags & ios_base::showbase) && __v)
   {
     if (__basefield == ios_base::oct)
       *--__cs = __lit[__num_base::_S_odigits], ++__len;
     else
       {

  const bool __uppercase = __flags & ios_base::uppercase;
  *--__cs = __lit[__num_base::_S_ox + __uppercase];

  *--__cs = __lit[__num_base::_S_odigits];
  __len += 2;
       }
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __cs3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __cs3, __cs, __len);
     __cs = __cs3;
   }
 __io.width(0);



 return std::__write(__s, __cs, __len);
      }

  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_float(const char* __grouping, size_t __grouping_size,
     _CharT __sep, const _CharT* __p, _CharT* __new,
     _CharT* __cs, int& __len) const
    {



      const int __declen = __p ? __p - __cs : __len;
      _CharT* __p2 = std::__add_grouping(__new, __sep, __grouping,
      __grouping_size,
      __cs, __cs + __declen);


      int __newlen = __p2 - __new;
      if (__p)
 {
   char_traits<_CharT>::copy(__p2, __p, __len - __declen);
   __newlen += __len - __declen;
 }
      __len = __newlen;
    }
# 971 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_float(_OutIter __s, ios_base& __io, _CharT __fill, char __mod,
         _ValueT __v) const
      {
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);


 const streamsize __prec = __io.precision() < 0 ? 6 : __io.precision();

 const int __max_digits =
   __gnu_cxx::__numeric_traits<_ValueT>::__digits10;


 int __len;

 char __fbuf[16];
 __num_base::_S_format_float(__io, __fbuf, __mod);



 const bool __use_prec =
   (__io.flags() & ios_base::floatfield) != ios_base::floatfield;



 int __cs_size = __max_digits * 3;
 char* __cs = static_cast<char*>(__builtin_alloca(__cs_size));
 if (__use_prec)
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __prec, __v);
 else
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __v);


 if (__len >= __cs_size)
   {
     __cs_size = __len + 1;
     __cs = static_cast<char*>(__builtin_alloca(__cs_size));
     if (__use_prec)
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __prec, __v);
     else
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __v);
   }
# 1044 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
 const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

 _CharT* __ws = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __len));
 __ctype.widen(__cs, __cs + __len, __ws);


 _CharT* __wp = 0;
 const char* __p = char_traits<char>::find(__cs, __len, '.');
 if (__p)
   {
     __wp = __ws + (__p - __cs);
     *__wp = __lc->_M_decimal_point;
   }




 if (__lc->_M_use_grouping
     && (__wp || __len < 3 || (__cs[1] <= '9' && __cs[2] <= '9'
          && __cs[1] >= '0' && __cs[2] >= '0')))
   {


     _CharT* __ws2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __len * 2));

     streamsize __off = 0;
     if (__cs[0] == '-' || __cs[0] == '+')
       {
  __off = 1;
  __ws2[0] = __ws[0];
  __len -= 1;
       }

     _M_group_float(__lc->_M_grouping, __lc->_M_grouping_size,
      __lc->_M_thousands_sep, __wp, __ws2 + __off,
      __ws + __off, __len);
     __len += __off;

     __ws = __ws2;
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __ws3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __ws3, __ws, __len);
     __ws = __ws3;
   }
 __io.width(0);



 return std::__write(__s, __ws, __len);
      }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      if ((__flags & ios_base::boolalpha) == 0)
        {
          const long __l = __v;
          __s = _M_insert_int(__s, __io, __fill, __l);
        }
      else
        {
   typedef __numpunct_cache<_CharT> __cache_type;
   __use_cache<__cache_type> __uc;
   const locale& __loc = __io._M_getloc();
   const __cache_type* __lc = __uc(__loc);

   const _CharT* __name = __v ? __lc->_M_truename
                              : __lc->_M_falsename;
   int __len = __v ? __lc->_M_truename_size
                   : __lc->_M_falsename_size;

   const streamsize __w = __io.width();
   if (__w > static_cast<streamsize>(__len))
     {
       const streamsize __plen = __w - __len;
       _CharT* __ps
  = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
       * __plen));

       char_traits<_CharT>::assign(__ps, __plen, __fill);
       __io.width(0);

       if ((__flags & ios_base::adjustfield) == ios_base::left)
  {
    __s = std::__write(__s, __name, __len);
    __s = std::__write(__s, __ps, __plen);
  }
       else
  {
    __s = std::__write(__s, __ps, __plen);
    __s = std::__write(__s, __name, __len);
  }
       return __s;
     }
   __io.width(0);
   __s = std::__write(__s, __name, __len);
 }
      return __s;
    }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
    { return _M_insert_float(__s, __io, __fill, char(), __v); }
# 1169 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
    long double __v) const
    { return _M_insert_float(__s, __io, __fill, 'L', __v); }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
           const void* __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      const ios_base::fmtflags __fmt = ~(ios_base::basefield
      | ios_base::uppercase);
      __io.flags((__flags & __fmt) | (ios_base::hex | ios_base::showbase));

      typedef __gnu_cxx::__conditional_type<(sizeof(const void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      __s = _M_insert_int(__s, __io, __fill,
     reinterpret_cast<_UIntPtrType>(__v));
      __io.flags(__flags);
      return __s;
    }


# 1206 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _Traits>
    void
    __pad<_CharT, _Traits>::_S_pad(ios_base& __io, _CharT __fill,
       _CharT* __news, const _CharT* __olds,
       streamsize __newlen, streamsize __oldlen)
    {
      const size_t __plen = static_cast<size_t>(__newlen - __oldlen);
      const ios_base::fmtflags __adjust = __io.flags() & ios_base::adjustfield;


      if (__adjust == ios_base::left)
 {
   _Traits::copy(__news, __olds, __oldlen);
   _Traits::assign(__news + __oldlen, __plen, __fill);
   return;
 }

      size_t __mod = 0;
      if (__adjust == ios_base::internal)
 {



          const locale& __loc = __io._M_getloc();
   const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

   if (__ctype.widen('-') == __olds[0]
       || __ctype.widen('+') == __olds[0])
     {
       __news[0] = __olds[0];
       __mod = 1;
       ++__news;
     }
   else if (__ctype.widen('0') == __olds[0]
     && __oldlen > 1
     && (__ctype.widen('x') == __olds[1]
         || __ctype.widen('X') == __olds[1]))
     {
       __news[0] = __olds[0];
       __news[1] = __olds[1];
       __mod = 2;
       __news += 2;
     }

 }
      _Traits::assign(__news, __plen, __fill);
      _Traits::copy(__news + __plen, __olds + __mod, __oldlen - __mod);
    }

  template<typename _CharT>
    _CharT*
    __add_grouping(_CharT* __s, _CharT __sep,
     const char* __gbeg, size_t __gsize,
     const _CharT* __first, const _CharT* __last)
    {
      size_t __idx = 0;
      size_t __ctr = 0;

      while (__last - __first > __gbeg[__idx]
      && static_cast<signed char>(__gbeg[__idx]) > 0
      && __gbeg[__idx] != __gnu_cxx::__numeric_traits<char>::__max)
 {
   __last -= __gbeg[__idx];
   __idx < __gsize - 1 ? ++__idx : ++__ctr;
 }

      while (__first != __last)
 *__s++ = *__first++;

      while (__ctr--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      while (__idx--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      return __s;
    }




  extern template class __cxx11:: numpunct<char>;
  extern template class __cxx11:: numpunct_byname<char>;
  extern template class num_get<char>;
  extern template class num_put<char>;
  extern template class ctype_byname<char>;

  extern template
    const ctype<char>&
    use_facet<ctype<char> >(const locale&);

  extern template
    const numpunct<char>&
    use_facet<numpunct<char> >(const locale&);

  extern template
    const num_put<char>&
    use_facet<num_put<char> >(const locale&);

  extern template
    const num_get<char>&
    use_facet<num_get<char> >(const locale&);

  extern template
    bool
    has_facet<ctype<char> >(const locale&);

  extern template
    bool
    has_facet<numpunct<char> >(const locale&);

  extern template
    bool
    has_facet<num_put<char> >(const locale&);

  extern template
    bool
    has_facet<num_get<char> >(const locale&);


  extern template class __cxx11:: numpunct<wchar_t>;
  extern template class __cxx11:: numpunct_byname<wchar_t>;
  extern template class num_get<wchar_t>;
  extern template class num_put<wchar_t>;
  extern template class ctype_byname<wchar_t>;

  extern template
    const ctype<wchar_t>&
    use_facet<ctype<wchar_t> >(const locale&);

  extern template
    const numpunct<wchar_t>&
    use_facet<numpunct<wchar_t> >(const locale&);

  extern template
    const num_put<wchar_t>&
    use_facet<num_put<wchar_t> >(const locale&);

  extern template
    const num_get<wchar_t>&
    use_facet<num_get<wchar_t> >(const locale&);

 extern template
    bool
    has_facet<ctype<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<numpunct<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_put<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_get<wchar_t> >(const locale&);




}
# 2648 "/opt/sutton/include/c++/9.0.0/bits/locale_facets.h" 2 3
# 38 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 2 3



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


  template<typename _Facet>
    inline const _Facet&
    __check_facet(const _Facet* __f)
    {
      if (!__f)
 __throw_bad_cast();
      return *__f;
    }
# 66 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
  template<typename _CharT, typename _Traits>
    class basic_ios : public ios_base
    {
    public:






      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;






      typedef ctype<_CharT> __ctype_type;
      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
           __num_put_type;
      typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
           __num_get_type;



    protected:
      basic_ostream<_CharT, _Traits>* _M_tie;
      mutable char_type _M_fill;
      mutable bool _M_fill_init;
      basic_streambuf<_CharT, _Traits>* _M_streambuf;


      const __ctype_type* _M_ctype;

      const __num_put_type* _M_num_put;

      const __num_get_type* _M_num_get;

    public:
# 117 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      explicit operator bool() const
      { return !this->fail(); }





      bool
      operator!() const
      { return this->fail(); }
# 136 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      iostate
      rdstate() const
      { return _M_streambuf_state; }
# 147 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      void
      clear(iostate __state = goodbit);







      void
      setstate(iostate __state)
      { this->clear(this->rdstate() | __state); }




      void
      _M_setstate(iostate __state)
      {


 _M_streambuf_state |= __state;
 if (this->exceptions() & __state)
   throw;
      }







      bool
      good() const
      { return this->rdstate() == 0; }







      bool
      eof() const
      { return (this->rdstate() & eofbit) != 0; }
# 200 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      bool
      fail() const
      { return (this->rdstate() & (badbit | failbit)) != 0; }







      bool
      bad() const
      { return (this->rdstate() & badbit) != 0; }
# 221 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      iostate
      exceptions() const
      { return _M_exception; }
# 256 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      void
      exceptions(iostate __except)
      {
        _M_exception = __except;
        this->clear(_M_streambuf_state);
      }







      explicit
      basic_ios(basic_streambuf<_CharT, _Traits>* __sb)
      : ios_base(), _M_tie(0), _M_fill(), _M_fill_init(false), _M_streambuf(0),
 _M_ctype(0), _M_num_put(0), _M_num_get(0)
      { this->init(__sb); }







      virtual
      ~basic_ios() { }
# 294 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      basic_ostream<_CharT, _Traits>*
      tie() const
      { return _M_tie; }
# 306 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      basic_ostream<_CharT, _Traits>*
      tie(basic_ostream<_CharT, _Traits>* __tiestr)
      {
        basic_ostream<_CharT, _Traits>* __old = _M_tie;
        _M_tie = __tiestr;
        return __old;
      }







      basic_streambuf<_CharT, _Traits>*
      rdbuf() const
      { return _M_streambuf; }
# 346 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      basic_streambuf<_CharT, _Traits>*
      rdbuf(basic_streambuf<_CharT, _Traits>* __sb);
# 360 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      basic_ios&
      copyfmt(const basic_ios& __rhs);







      char_type
      fill() const
      {
 if (!_M_fill_init)
   {
     _M_fill = this->widen(' ');
     _M_fill_init = true;
   }
 return _M_fill;
      }
# 389 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      char_type
      fill(char_type __ch)
      {
 char_type __old = this->fill();
 _M_fill = __ch;
 return __old;
      }
# 409 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      locale
      imbue(const locale& __loc);
# 429 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      char
      narrow(char_type __c, char __dfault) const
      { return __check_facet(_M_ctype).narrow(__c, __dfault); }
# 448 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 3
      char_type
      widen(char __c) const
      { return __check_facet(_M_ctype).widen(__c); }

    protected:







      basic_ios()
      : ios_base(), _M_tie(0), _M_fill(char_type()), _M_fill_init(false),
 _M_streambuf(0), _M_ctype(0), _M_num_put(0), _M_num_get(0)
      { }







      void
      init(basic_streambuf<_CharT, _Traits>* __sb);


      basic_ios(const basic_ios&) = delete;
      basic_ios& operator=(const basic_ios&) = delete;

      void
      move(basic_ios& __rhs)
      {
 ios_base::_M_move(__rhs);
 _M_cache_locale(_M_ios_locale);
 this->tie(__rhs.tie(nullptr));
 _M_fill = __rhs._M_fill;
 _M_fill_init = __rhs._M_fill_init;
 _M_streambuf = nullptr;
      }

      void
      move(basic_ios&& __rhs)
      { this->move(__rhs); }

      void
      swap(basic_ios& __rhs) noexcept
      {
 ios_base::_M_swap(__rhs);
 _M_cache_locale(_M_ios_locale);
 __rhs._M_cache_locale(__rhs._M_ios_locale);
 std::swap(_M_tie, __rhs._M_tie);
 std::swap(_M_fill, __rhs._M_fill);
 std::swap(_M_fill_init, __rhs._M_fill_init);
      }

      void
      set_rdbuf(basic_streambuf<_CharT, _Traits>* __sb)
      { _M_streambuf = __sb; }


      void
      _M_cache_locale(const locale& __loc);
    };


}

# 1 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.tcc" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.tcc" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.tcc" 3

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


  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::clear(iostate __state)
    {
      if (this->rdbuf())
 _M_streambuf_state = __state;
      else
   _M_streambuf_state = __state | badbit;
      if (this->exceptions() & this->rdstate())
 __throw_ios_failure(("basic_ios::clear"));
    }

  template<typename _CharT, typename _Traits>
    basic_streambuf<_CharT, _Traits>*
    basic_ios<_CharT, _Traits>::rdbuf(basic_streambuf<_CharT, _Traits>* __sb)
    {
      basic_streambuf<_CharT, _Traits>* __old = _M_streambuf;
      _M_streambuf = __sb;
      this->clear();
      return __old;
    }

  template<typename _CharT, typename _Traits>
    basic_ios<_CharT, _Traits>&
    basic_ios<_CharT, _Traits>::copyfmt(const basic_ios& __rhs)
    {


      if (this != &__rhs)
 {




   _Words* __words = (__rhs._M_word_size <= _S_local_word_size) ?
                      _M_local_word : new _Words[__rhs._M_word_size];


   _Callback_list* __cb = __rhs._M_callbacks;
   if (__cb)
     __cb->_M_add_reference();
   _M_call_callbacks(erase_event);
   if (_M_word != _M_local_word)
     {
       delete [] _M_word;
       _M_word = 0;
     }
   _M_dispose_callbacks();


   _M_callbacks = __cb;
   for (int __i = 0; __i < __rhs._M_word_size; ++__i)
     __words[__i] = __rhs._M_word[__i];
   _M_word = __words;
   _M_word_size = __rhs._M_word_size;

   this->flags(__rhs.flags());
   this->width(__rhs.width());
   this->precision(__rhs.precision());
   this->tie(__rhs.tie());
   this->fill(__rhs.fill());
   _M_ios_locale = __rhs.getloc();
   _M_cache_locale(_M_ios_locale);

   _M_call_callbacks(copyfmt_event);


   this->exceptions(__rhs.exceptions());
 }
      return *this;
    }


  template<typename _CharT, typename _Traits>
    locale
    basic_ios<_CharT, _Traits>::imbue(const locale& __loc)
    {
      locale __old(this->getloc());
      ios_base::imbue(__loc);
      _M_cache_locale(__loc);
      if (this->rdbuf() != 0)
 this->rdbuf()->pubimbue(__loc);
      return __old;
    }

  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::init(basic_streambuf<_CharT, _Traits>* __sb)
    {

      ios_base::_M_init();


      _M_cache_locale(_M_ios_locale);
# 146 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.tcc" 3
      _M_fill = _CharT();
      _M_fill_init = false;

      _M_tie = 0;
      _M_exception = goodbit;
      _M_streambuf = __sb;
      _M_streambuf_state = __sb ? goodbit : badbit;
    }

  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::_M_cache_locale(const locale& __loc)
    {
      if (__builtin_expect(has_facet<__ctype_type>(__loc), true))
 _M_ctype = std::__addressof(use_facet<__ctype_type>(__loc));
      else
 _M_ctype = 0;

      if (__builtin_expect(has_facet<__num_put_type>(__loc), true))
 _M_num_put = std::__addressof(use_facet<__num_put_type>(__loc));
      else
 _M_num_put = 0;

      if (__builtin_expect(has_facet<__num_get_type>(__loc), true))
 _M_num_get = std::__addressof(use_facet<__num_get_type>(__loc));
      else
 _M_num_get = 0;
    }




  extern template class basic_ios<char>;


  extern template class basic_ios<wchar_t>;




}
# 517 "/opt/sutton/include/c++/9.0.0/bits/basic_ios.h" 2 3
# 45 "/opt/sutton/include/c++/9.0.0/ios" 2 3
# 39 "/opt/sutton/include/c++/9.0.0/ostream" 2 3


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

# 57 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _CharT, typename _Traits>
    class basic_ostream : virtual public basic_ios<_CharT, _Traits>
    {
    public:

      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;


      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef basic_ios<_CharT, _Traits> __ios_type;
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
             __num_put_type;
      typedef ctype<_CharT> __ctype_type;
# 83 "/opt/sutton/include/c++/9.0.0/ostream" 3
      explicit
      basic_ostream(__streambuf_type* __sb)
      { this->init(__sb); }






      virtual
      ~basic_ostream() { }


      class sentry;
      friend class sentry;
# 107 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      operator<<(__ostream_type& (*__pf)(__ostream_type&))
      {



 return __pf(*this);
      }

      __ostream_type&
      operator<<(__ios_type& (*__pf)(__ios_type&))
      {



 __pf(*this);
 return *this;
      }

      __ostream_type&
      operator<<(ios_base& (*__pf) (ios_base&))
      {



 __pf(*this);
 return *this;
      }
# 165 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      operator<<(long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(unsigned long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(bool __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(short __n);

      __ostream_type&
      operator<<(unsigned short __n)
      {


 return _M_insert(static_cast<unsigned long>(__n));
      }

      __ostream_type&
      operator<<(int __n);

      __ostream_type&
      operator<<(unsigned int __n)
      {


 return _M_insert(static_cast<unsigned long>(__n));
      }


      __ostream_type&
      operator<<(long long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(unsigned long long __n)
      { return _M_insert(__n); }
# 219 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      operator<<(double __f)
      { return _M_insert(__f); }

      __ostream_type&
      operator<<(float __f)
      {


 return _M_insert(static_cast<double>(__f));
      }

      __ostream_type&
      operator<<(long double __f)
      { return _M_insert(__f); }
# 244 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      operator<<(const void* __p)
      { return _M_insert(__p); }
# 269 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      operator<<(__streambuf_type* __sb);
# 302 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      put(char_type __c);






      void
      _M_write(const char_type* __s, streamsize __n)
      {
 const streamsize __put = this->rdbuf()->sputn(__s, __n);
 if (__put != __n)
   this->setstate(ios_base::badbit);
      }
# 334 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      write(const char_type* __s, streamsize __n);
# 347 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      flush();
# 357 "/opt/sutton/include/c++/9.0.0/ostream" 3
      pos_type
      tellp();
# 368 "/opt/sutton/include/c++/9.0.0/ostream" 3
      __ostream_type&
      seekp(pos_type);
# 380 "/opt/sutton/include/c++/9.0.0/ostream" 3
       __ostream_type&
      seekp(off_type, ios_base::seekdir);

    protected:
      basic_ostream()
      { this->init(0); }



      basic_ostream(basic_iostream<_CharT, _Traits>&) { }

      basic_ostream(const basic_ostream&) = delete;

      basic_ostream(basic_ostream&& __rhs)
      : __ios_type()
      { __ios_type::move(__rhs); }



      basic_ostream& operator=(const basic_ostream&) = delete;

      basic_ostream&
      operator=(basic_ostream&& __rhs)
      {
 swap(__rhs);
 return *this;
      }

      void
      swap(basic_ostream& __rhs)
      { __ios_type::swap(__rhs); }


      template<typename _ValueT>
 __ostream_type&
 _M_insert(_ValueT __v);
    };
# 425 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template <typename _CharT, typename _Traits>
    class basic_ostream<_CharT, _Traits>::sentry
    {

      bool _M_ok;
      basic_ostream<_CharT, _Traits>& _M_os;

    public:
# 444 "/opt/sutton/include/c++/9.0.0/ostream" 3
      explicit
      sentry(basic_ostream<_CharT, _Traits>& __os);

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"







      ~sentry()
      {

 if (bool(_M_os.flags() & ios_base::unitbuf) && !uncaught_exception())
   {

     if (_M_os.rdbuf() && _M_os.rdbuf()->pubsync() == -1)
       _M_os.setstate(ios_base::badbit);
   }
      }
#pragma GCC diagnostic pop
# 476 "/opt/sutton/include/c++/9.0.0/ostream" 3
      explicit

      operator bool() const
      { return _M_ok; }
    };
# 498 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, _CharT __c)
    { return __ostream_insert(__out, &__c, 1); }

  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, char __c)
    { return (__out << __out.widen(__c)); }


  template <class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, char __c)
    { return __ostream_insert(__out, &__c, 1); }


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, signed char __c)
    { return (__out << static_cast<char>(__c)); }

  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, unsigned char __c)
    { return (__out << static_cast<char>(__c)); }
# 540 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, const _CharT* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 __ostream_insert(__out, __s,
    static_cast<streamsize>(_Traits::length(__s)));
      return __out;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits> &
    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s);


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, const char* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 __ostream_insert(__out, __s,
    static_cast<streamsize>(_Traits::length(__s)));
      return __out;
    }


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, const signed char* __s)
    { return (__out << reinterpret_cast<const char*>(__s)); }

  template<class _Traits>
    inline basic_ostream<char, _Traits> &
    operator<<(basic_ostream<char, _Traits>& __out, const unsigned char* __s)
    { return (__out << reinterpret_cast<const char*>(__s)); }
# 591 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    endl(basic_ostream<_CharT, _Traits>& __os)
    { return flush(__os.put(__os.widen('\n'))); }
# 603 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    ends(basic_ostream<_CharT, _Traits>& __os)
    { return __os.put(_CharT()); }






  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    flush(basic_ostream<_CharT, _Traits>& __os)
    { return __os.flush(); }


  template<typename _Ch, typename _Up>
    basic_ostream<_Ch, _Up>&
    __is_convertible_to_basic_ostream_test(basic_ostream<_Ch, _Up>*);

  template<typename _Tp, typename = void>
    struct __is_convertible_to_basic_ostream_impl
    {
      using __ostream_type = void;
    };

  template<typename _Tp>
    using __do_is_convertible_to_basic_ostream_impl =
    decltype(__is_convertible_to_basic_ostream_test
      (declval<typename remove_reference<_Tp>::type*>()));

  template<typename _Tp>
    struct __is_convertible_to_basic_ostream_impl
    <_Tp,
     __void_t<__do_is_convertible_to_basic_ostream_impl<_Tp>>>
    {
      using __ostream_type =
 __do_is_convertible_to_basic_ostream_impl<_Tp>;
    };

  template<typename _Tp>
    struct __is_convertible_to_basic_ostream
    : __is_convertible_to_basic_ostream_impl<_Tp>
    {
    public:
      using type = __not_<is_void<
        typename __is_convertible_to_basic_ostream_impl<_Tp>::__ostream_type>>;
      constexpr static bool value = type::value;
    };

  template<typename _Ostream, typename _Tp, typename = void>
    struct __is_insertable : false_type {};

  template<typename _Ostream, typename _Tp>
    struct __is_insertable<_Ostream, _Tp,
      __void_t<decltype(declval<_Ostream&>()
          << declval<const _Tp&>())>>
        : true_type {};

  template<typename _Ostream>
    using __rvalue_ostream_type =
      typename __is_convertible_to_basic_ostream<
 _Ostream>::__ostream_type;
# 677 "/opt/sutton/include/c++/9.0.0/ostream" 3
  template<typename _Ostream, typename _Tp>
    inline
    typename enable_if<__and_<__not_<is_lvalue_reference<_Ostream>>,
         __is_convertible_to_basic_ostream<_Ostream>,
         __is_insertable<
    __rvalue_ostream_type<_Ostream>,
    const _Tp&>>::value,
         __rvalue_ostream_type<_Ostream>>::type
    operator<<(_Ostream&& __os, const _Tp& __x)
    {
      __rvalue_ostream_type<_Ostream> __ret_os = __os;
      __ret_os << __x;
      return __ret_os;
    }



}

# 1 "/opt/sutton/include/c++/9.0.0/bits/ostream.tcc" 1 3
# 37 "/opt/sutton/include/c++/9.0.0/bits/ostream.tcc" 3
       
# 38 "/opt/sutton/include/c++/9.0.0/bits/ostream.tcc" 3



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


  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>::sentry::
    sentry(basic_ostream<_CharT, _Traits>& __os)
    : _M_ok(false), _M_os(__os)
    {

      if (__os.tie() && __os.good())
 __os.tie()->flush();

      if (__os.good())
 _M_ok = true;
      else
 __os.setstate(ios_base::failbit);
    }

  template<typename _CharT, typename _Traits>
    template<typename _ValueT>
      basic_ostream<_CharT, _Traits>&
      basic_ostream<_CharT, _Traits>::
      _M_insert(_ValueT __v)
      {
 sentry __cerb(*this);
 if (__cerb)
   {
     ios_base::iostate __err = ios_base::goodbit;
     try
       {
  const __num_put_type& __np = __check_facet(this->_M_num_put);
  if (__np.put(*this, *this, this->fill(), __v).failed())
    __err |= ios_base::badbit;
       }
     catch(__cxxabiv1::__forced_unwind&)
       {
  this->_M_setstate(ios_base::badbit);
  throw;
       }
     catch(...)
       { this->_M_setstate(ios_base::badbit); }
     if (__err)
       this->setstate(__err);
   }
 return *this;
      }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(short __n)
    {


      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
 return _M_insert(static_cast<long>(static_cast<unsigned short>(__n)));
      else
 return _M_insert(static_cast<long>(__n));
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(int __n)
    {


      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
 return _M_insert(static_cast<long>(static_cast<unsigned int>(__n)));
      else
 return _M_insert(static_cast<long>(__n));
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(__streambuf_type* __sbin)
    {
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this);
      if (__cerb && __sbin)
 {
   try
     {
       if (!__copy_streambufs(__sbin, this->rdbuf()))
  __err |= ios_base::failbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::failbit); }
 }
      else if (!__sbin)
 __err |= ios_base::badbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    put(char_type __c)
    {






      sentry __cerb(*this);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const int_type __put = this->rdbuf()->sputc(__c);
       if (traits_type::eq_int_type(__put, traits_type::eof()))
  __err |= ios_base::badbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    write(const _CharT* __s, streamsize __n)
    {







      sentry __cerb(*this);
      if (__cerb)
 {
   try
     { _M_write(__s, __n); }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    flush()
    {



      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (this->rdbuf() && this->rdbuf()->pubsync() == -1)
     __err |= ios_base::badbit;
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    typename basic_ostream<_CharT, _Traits>::pos_type
    basic_ostream<_CharT, _Traits>::
    tellp()
    {
      pos_type __ret = pos_type(-1);
      try
 {
   if (!this->fail())
     __ret = this->rdbuf()->pubseekoff(0, ios_base::cur, ios_base::out);
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    seekp(pos_type __pos)
    {
      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (!this->fail())
     {


       const pos_type __p = this->rdbuf()->pubseekpos(__pos,
            ios_base::out);


       if (__p == pos_type(off_type(-1)))
  __err |= ios_base::failbit;
     }
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    seekp(off_type __off, ios_base::seekdir __dir)
    {
      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (!this->fail())
     {


       const pos_type __p = this->rdbuf()->pubseekoff(__off, __dir,
            ios_base::out);


       if (__p == pos_type(off_type(-1)))
  __err |= ios_base::failbit;
     }
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 {


   const size_t __clen = char_traits<char>::length(__s);
   try
     {
       struct __ptr_guard
       {
  _CharT *__p;
  __ptr_guard (_CharT *__ip): __p(__ip) { }
  ~__ptr_guard() { delete[] __p; }
  _CharT* __get() { return __p; }
       } __pg (new _CharT[__clen]);

       _CharT *__ws = __pg.__get();
       for (size_t __i = 0; __i < __clen; ++__i)
  __ws[__i] = __out.widen(__s[__i]);
       __ostream_insert(__out, __ws, __clen);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __out._M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { __out._M_setstate(ios_base::badbit); }
 }
      return __out;
    }




  extern template class basic_ostream<char>;
  extern template ostream& endl(ostream&);
  extern template ostream& ends(ostream&);
  extern template ostream& flush(ostream&);
  extern template ostream& operator<<(ostream&, char);
  extern template ostream& operator<<(ostream&, unsigned char);
  extern template ostream& operator<<(ostream&, signed char);
  extern template ostream& operator<<(ostream&, const char*);
  extern template ostream& operator<<(ostream&, const unsigned char*);
  extern template ostream& operator<<(ostream&, const signed char*);

  extern template ostream& ostream::_M_insert(long);
  extern template ostream& ostream::_M_insert(unsigned long);
  extern template ostream& ostream::_M_insert(bool);

  extern template ostream& ostream::_M_insert(long long);
  extern template ostream& ostream::_M_insert(unsigned long long);

  extern template ostream& ostream::_M_insert(double);
  extern template ostream& ostream::_M_insert(long double);
  extern template ostream& ostream::_M_insert(const void*);


  extern template class basic_ostream<wchar_t>;
  extern template wostream& endl(wostream&);
  extern template wostream& ends(wostream&);
  extern template wostream& flush(wostream&);
  extern template wostream& operator<<(wostream&, wchar_t);
  extern template wostream& operator<<(wostream&, char);
  extern template wostream& operator<<(wostream&, const wchar_t*);
  extern template wostream& operator<<(wostream&, const char*);

  extern template wostream& wostream::_M_insert(long);
  extern template wostream& wostream::_M_insert(unsigned long);
  extern template wostream& wostream::_M_insert(bool);

  extern template wostream& wostream::_M_insert(long long);
  extern template wostream& wostream::_M_insert(unsigned long long);

  extern template wostream& wostream::_M_insert(double);
  extern template wostream& wostream::_M_insert(long double);
  extern template wostream& wostream::_M_insert(const void*);




}
# 697 "/opt/sutton/include/c++/9.0.0/ostream" 2 3
# 965 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3

namespace Catch {

    std::ostream& cout();
    std::ostream& cerr();
    std::ostream& clog();

    class StringRef;

    struct IStream {
        virtual ~IStream();
        virtual std::ostream& stream() const = 0;
    };

    auto makeStream( StringRef const &filename ) -> IStream const*;

    class ReusableStringStream {
        std::size_t m_index;
        std::ostream* m_oss;
    public:
        ReusableStringStream();
        ~ReusableStringStream();

        auto str() const -> std::string;

        template<typename T>
        auto operator << ( T const& value ) -> ReusableStringStream& {
            *m_oss << value;
            return *this;
        }
        auto get() -> std::ostream& { return *m_oss; }
    };
}
# 1056 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
    namespace Detail {

        extern const std::string unprintableString;

        std::string rawMemoryToString( const void *object, std::size_t size );

        template<typename T>
        std::string rawMemoryToString( const T& object ) {
          return rawMemoryToString( &object, sizeof(object) );
        }

        template<typename T>
        class IsStreamInsertable {
            template<typename SS, typename TT>
            static auto test(int)
                -> decltype(std::declval<SS&>() << std::declval<TT>(), std::true_type());

            template<typename, typename>
            static auto test(...)->std::false_type;

        public:
            static const bool value = decltype(test<std::ostream, const T&>(0))::value;
        };

        template<typename E>
        std::string convertUnknownEnumToString( E e );

        template<typename T>
        typename std::enable_if<
            !std::is_enum<T>::value && !std::is_base_of<std::exception, T>::value,
        std::string>::type convertUnstreamable( T const& ) {
            return Detail::unprintableString;
        }
        template<typename T>
        typename std::enable_if<
            !std::is_enum<T>::value && std::is_base_of<std::exception, T>::value,
         std::string>::type convertUnstreamable(T const& ex) {
            return ex.what();
        }

        template<typename T>
        typename std::enable_if<
            std::is_enum<T>::value
        , std::string>::type convertUnstreamable( T const& value ) {
            return convertUnknownEnumToString( value );
        }
# 1116 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
    }


    template <typename T, typename = void>
    struct StringMaker {
        template <typename Fake = T>
        static
        typename std::enable_if<::Catch::Detail::IsStreamInsertable<Fake>::value, std::string>::type
            convert(const Fake& value) {
                ReusableStringStream rss;


                rss.operator<<(value);
                return rss.str();
        }

        template <typename Fake = T>
        static
        typename std::enable_if<!::Catch::Detail::IsStreamInsertable<Fake>::value, std::string>::type
            convert( const Fake& value ) {

            return Detail::convertUnstreamable(value);



        }
    };

    namespace Detail {



        template <typename T>
        std::string stringify(const T& e) {
            return ::Catch::StringMaker<typename std::remove_cv<typename std::remove_reference<T>::type>::type>::convert(e);
        }

        template<typename E>
        std::string convertUnknownEnumToString( E e ) {
            return ::Catch::Detail::stringify(static_cast<typename std::underlying_type<E>::type>(e));
        }
# 1165 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
    }



    template<>
    struct StringMaker<std::string> {
        static std::string convert(const std::string& str);
    };


    template<>
    struct StringMaker<std::string_view> {
        static std::string convert(std::string_view str);
    };


    template<>
    struct StringMaker<char const *> {
        static std::string convert(char const * str);
    };
    template<>
    struct StringMaker<char *> {
        static std::string convert(char * str);
    };


    template<>
    struct StringMaker<std::wstring> {
        static std::string convert(const std::wstring& wstr);
    };


    template<>
    struct StringMaker<std::wstring_view> {
        static std::string convert(std::wstring_view str);
    };


    template<>
    struct StringMaker<wchar_t const *> {
        static std::string convert(wchar_t const * str);
    };
    template<>
    struct StringMaker<wchar_t *> {
        static std::string convert(wchar_t * str);
    };




    template<int SZ>
    struct StringMaker<char[SZ]> {
        static std::string convert(char const* str) {
            return ::Catch::Detail::stringify(std::string{ str });
        }
    };
    template<int SZ>
    struct StringMaker<signed char[SZ]> {
        static std::string convert(signed char const* str) {
            return ::Catch::Detail::stringify(std::string{ reinterpret_cast<char const *>(str) });
        }
    };
    template<int SZ>
    struct StringMaker<unsigned char[SZ]> {
        static std::string convert(unsigned char const* str) {
            return ::Catch::Detail::stringify(std::string{ reinterpret_cast<char const *>(str) });
        }
    };

    template<>
    struct StringMaker<int> {
        static std::string convert(int value);
    };
    template<>
    struct StringMaker<long> {
        static std::string convert(long value);
    };
    template<>
    struct StringMaker<long long> {
        static std::string convert(long long value);
    };
    template<>
    struct StringMaker<unsigned int> {
        static std::string convert(unsigned int value);
    };
    template<>
    struct StringMaker<unsigned long> {
        static std::string convert(unsigned long value);
    };
    template<>
    struct StringMaker<unsigned long long> {
        static std::string convert(unsigned long long value);
    };

    template<>
    struct StringMaker<bool> {
        static std::string convert(bool b);
    };

    template<>
    struct StringMaker<char> {
        static std::string convert(char c);
    };
    template<>
    struct StringMaker<signed char> {
        static std::string convert(signed char c);
    };
    template<>
    struct StringMaker<unsigned char> {
        static std::string convert(unsigned char c);
    };

    template<>
    struct StringMaker<std::nullptr_t> {
        static std::string convert(std::nullptr_t);
    };

    template<>
    struct StringMaker<float> {
        static std::string convert(float value);
    };
    template<>
    struct StringMaker<double> {
        static std::string convert(double value);
    };

    template <typename T>
    struct StringMaker<T*> {
        template <typename U>
        static std::string convert(U* p) {
            if (p) {
                return ::Catch::Detail::rawMemoryToString(p);
            } else {
                return "nullptr";
            }
        }
    };

    template <typename R, typename C>
    struct StringMaker<R C::*> {
        static std::string convert(R C::* p) {
            if (p) {
                return ::Catch::Detail::rawMemoryToString(p);
            } else {
                return "nullptr";
            }
        }
    };
# 1323 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
    namespace Detail {
        template<typename InputIterator>
        std::string rangeToString(InputIterator first, InputIterator last) {
            ReusableStringStream rss;
            rss << "{ ";
            if (first != last) {
                rss << ::Catch::Detail::stringify(*first);
                for (++first; first != last; ++first)
                    rss << ", " << ::Catch::Detail::stringify(*first);
            }
            rss << " }";
            return rss.str();
        }
    }
# 1362 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
}
# 1463 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
    struct not_this_one {};


    using std::begin;
    using std::end;

    not_this_one begin( ... );
    not_this_one end( ... );

    template <typename T>
    struct is_range {
        static const bool value =
            !std::is_same<decltype(begin(std::declval<T>())), not_this_one>::value &&
            !std::is_same<decltype(end(std::declval<T>())), not_this_one>::value;
    };
# 1487 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
    template<typename Range>
    std::string rangeToString( Range const& range ) {
        return ::Catch::Detail::rangeToString( begin( range ), end( range ) );
    }


    template<typename Allocator>
    std::string rangeToString( std::vector<bool, Allocator> const& v ) {
        ReusableStringStream rss;
        rss << "{ ";
        bool first = true;
        for( bool b : v ) {
            if( first )
                first = false;
            else
                rss << ", ";
            rss << ::Catch::Detail::stringify( b );
        }
        rss << " }";
        return rss.str();
    }

    template<typename R>
    struct StringMaker<R, typename std::enable_if<is_range<R>::value && !::Catch::Detail::IsStreamInsertable<R>::value>::type> {
        static std::string convert( R const& range ) {
            return rangeToString( range );
        }
    };

    template <typename T, int SZ>
    struct StringMaker<T[SZ]> {
        static std::string convert(T const(&arr)[SZ]) {
            return rangeToString(arr);
        }
    };

}
# 1657 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    struct ITransientExpression {
        auto isBinaryExpression() const -> bool { return m_isBinaryExpression; }
        auto getResult() const -> bool { return m_result; }
        virtual void streamReconstructedExpression( std::ostream &os ) const = 0;

        ITransientExpression( bool isBinaryExpression, bool result )
        : m_isBinaryExpression( isBinaryExpression ),
            m_result( result )
        {}



        virtual ~ITransientExpression();

        bool m_isBinaryExpression;
        bool m_result;

    };

    void formatReconstructedExpression( std::ostream &os, std::string const& lhs, StringRef op, std::string const& rhs );

    template<typename LhsT, typename RhsT>
    class BinaryExpr : public ITransientExpression {
        LhsT m_lhs;
        StringRef m_op;
        RhsT m_rhs;

        void streamReconstructedExpression( std::ostream &os ) const override {
            formatReconstructedExpression
                    ( os, Catch::Detail::stringify( m_lhs ), m_op, Catch::Detail::stringify( m_rhs ) );
        }

    public:
        BinaryExpr( bool comparisonResult, LhsT lhs, StringRef op, RhsT rhs )
        : ITransientExpression{ true, comparisonResult },
            m_lhs( lhs ),
            m_op( op ),
            m_rhs( rhs )
        {}
    };

    template<typename LhsT>
    class UnaryExpr : public ITransientExpression {
        LhsT m_lhs;

        void streamReconstructedExpression( std::ostream &os ) const override {
            os << Catch::Detail::stringify( m_lhs );
        }

    public:
        explicit UnaryExpr( LhsT lhs )
        : ITransientExpression{ false, lhs ? true : false },
            m_lhs( lhs )
        {}
    };


    template<typename LhsT, typename RhsT>
    auto compareEqual( LhsT const& lhs, RhsT const& rhs ) -> bool { return static_cast<bool>(lhs == rhs); }
    template<typename T>
    auto compareEqual( T* const& lhs, int rhs ) -> bool { return lhs == reinterpret_cast<void const*>( rhs ); }
    template<typename T>
    auto compareEqual( T* const& lhs, long rhs ) -> bool { return lhs == reinterpret_cast<void const*>( rhs ); }
    template<typename T>
    auto compareEqual( int lhs, T* const& rhs ) -> bool { return reinterpret_cast<void const*>( lhs ) == rhs; }
    template<typename T>
    auto compareEqual( long lhs, T* const& rhs ) -> bool { return reinterpret_cast<void const*>( lhs ) == rhs; }

    template<typename LhsT, typename RhsT>
    auto compareNotEqual( LhsT const& lhs, RhsT&& rhs ) -> bool { return static_cast<bool>(lhs != rhs); }
    template<typename T>
    auto compareNotEqual( T* const& lhs, int rhs ) -> bool { return lhs != reinterpret_cast<void const*>( rhs ); }
    template<typename T>
    auto compareNotEqual( T* const& lhs, long rhs ) -> bool { return lhs != reinterpret_cast<void const*>( rhs ); }
    template<typename T>
    auto compareNotEqual( int lhs, T* const& rhs ) -> bool { return reinterpret_cast<void const*>( lhs ) != rhs; }
    template<typename T>
    auto compareNotEqual( long lhs, T* const& rhs ) -> bool { return reinterpret_cast<void const*>( lhs ) != rhs; }

    template<typename LhsT>
    class ExprLhs {
        LhsT m_lhs;
    public:
        explicit ExprLhs( LhsT lhs ) : m_lhs( lhs ) {}

        template<typename RhsT>
        auto operator == ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { compareEqual( m_lhs, rhs ), m_lhs, "==", rhs };
        }
        auto operator == ( bool rhs ) -> BinaryExpr<LhsT, bool> const {
            return { m_lhs == rhs, m_lhs, "==", rhs };
        }

        template<typename RhsT>
        auto operator != ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { compareNotEqual( m_lhs, rhs ), m_lhs, "!=", rhs };
        }
        auto operator != ( bool rhs ) -> BinaryExpr<LhsT, bool> const {
            return { m_lhs != rhs, m_lhs, "!=", rhs };
        }

        template<typename RhsT>
        auto operator > ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { static_cast<bool>(m_lhs > rhs), m_lhs, ">", rhs };
        }
        template<typename RhsT>
        auto operator < ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { static_cast<bool>(m_lhs < rhs), m_lhs, "<", rhs };
        }
        template<typename RhsT>
        auto operator >= ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { static_cast<bool>(m_lhs >= rhs), m_lhs, ">=", rhs };
        }
        template<typename RhsT>
        auto operator <= ( RhsT const& rhs ) -> BinaryExpr<LhsT, RhsT const&> const {
            return { static_cast<bool>(m_lhs <= rhs), m_lhs, "<=", rhs };
        }

        auto makeUnaryExpr() const -> UnaryExpr<LhsT> {
            return UnaryExpr<LhsT>{ m_lhs };
        }
    };

    void handleExpression( ITransientExpression const& expr );

    template<typename T>
    void handleExpression( ExprLhs<T> const& expr ) {
        handleExpression( expr.makeUnaryExpr() );
    }

    struct Decomposer {
        template<typename T>
        auto operator <= ( T const& lhs ) -> ExprLhs<T const&> {
            return ExprLhs<T const&>{ lhs };
        }

        auto operator <=( bool value ) -> ExprLhs<bool> {
            return ExprLhs<bool>{ value };
        }
    };

}
# 1811 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    class AssertionResult;
    struct AssertionInfo;
    struct SectionInfo;
    struct SectionEndInfo;
    struct MessageInfo;
    struct Counts;
    struct BenchmarkInfo;
    struct BenchmarkStats;
    struct AssertionReaction;
    struct SourceLineInfo;

    struct ITransientExpression;
    struct IGeneratorTracker;

    struct IResultCapture {

        virtual ~IResultCapture();

        virtual bool sectionStarted( SectionInfo const& sectionInfo,
                                        Counts& assertions ) = 0;
        virtual void sectionEnded( SectionEndInfo const& endInfo ) = 0;
        virtual void sectionEndedEarly( SectionEndInfo const& endInfo ) = 0;

        virtual auto acquireGeneratorTracker( SourceLineInfo const& lineInfo ) -> IGeneratorTracker& = 0;

        virtual void benchmarkStarting( BenchmarkInfo const& info ) = 0;
        virtual void benchmarkEnded( BenchmarkStats const& stats ) = 0;

        virtual void pushScopedMessage( MessageInfo const& message ) = 0;
        virtual void popScopedMessage( MessageInfo const& message ) = 0;

        virtual void handleFatalErrorCondition( StringRef message ) = 0;

        virtual void handleExpr
                ( AssertionInfo const& info,
                    ITransientExpression const& expr,
                    AssertionReaction& reaction ) = 0;
        virtual void handleMessage
                ( AssertionInfo const& info,
                    ResultWas::OfType resultType,
                    StringRef const& message,
                    AssertionReaction& reaction ) = 0;
        virtual void handleUnexpectedExceptionNotThrown
                ( AssertionInfo const& info,
                    AssertionReaction& reaction ) = 0;
        virtual void handleUnexpectedInflightException
                ( AssertionInfo const& info,
                    std::string const& message,
                    AssertionReaction& reaction ) = 0;
        virtual void handleIncomplete
                ( AssertionInfo const& info ) = 0;
        virtual void handleNonExpr
                ( AssertionInfo const &info,
                    ResultWas::OfType resultType,
                    AssertionReaction &reaction ) = 0;

        virtual bool lastAssertionPassed() = 0;
        virtual void assertionPassed() = 0;


        virtual std::string getCurrentTestName() const = 0;
        virtual const AssertionResult* getLastResult() const = 0;
        virtual void exceptionEarlyReported() = 0;
    };

    IResultCapture& getResultCapture();
}


namespace Catch {

    struct TestFailureException{};
    struct AssertionResultData;
    struct IResultCapture;
    class RunContext;

    class LazyExpression {
        friend class AssertionHandler;
        friend struct AssertionStats;
        friend class RunContext;

        ITransientExpression const* m_transientExpression = nullptr;
        bool m_isNegated;
    public:
        LazyExpression( bool isNegated );
        LazyExpression( LazyExpression const& other );
        LazyExpression& operator = ( LazyExpression const& ) = delete;

        explicit operator bool() const;

        friend auto operator << ( std::ostream& os, LazyExpression const& lazyExpr ) -> std::ostream&;
    };

    struct AssertionReaction {
        bool shouldDebugBreak = false;
        bool shouldThrow = false;
    };

    class AssertionHandler {
        AssertionInfo m_assertionInfo;
        AssertionReaction m_reaction;
        bool m_completed = false;
        IResultCapture& m_resultCapture;

    public:
        AssertionHandler
            ( StringRef const& macroName,
                SourceLineInfo const& lineInfo,
                StringRef capturedExpression,
                ResultDisposition::Flags resultDisposition );
        ~AssertionHandler() {
            if ( !m_completed ) {
                m_resultCapture.handleIncomplete( m_assertionInfo );
            }
        }

        template<typename T>
        void handleExpr( ExprLhs<T> const& expr ) {
            handleExpr( expr.makeUnaryExpr() );
        }
        void handleExpr( ITransientExpression const& expr );

        void handleMessage(ResultWas::OfType resultType, StringRef const& message);

        void handleExceptionThrownAsExpected();
        void handleUnexpectedExceptionNotThrown();
        void handleExceptionNotThrownAsExpected();
        void handleThrowingCallSkipped();
        void handleUnexpectedInflightException();

        void complete();
        void setCompleted();


        auto allowThrows() const -> bool;
    };

    void handleExceptionMatchExpr( AssertionHandler& handler, std::string const& str, StringRef const& matcherString );

}







namespace Catch {

    struct MessageInfo {
        MessageInfo( StringRef const& _macroName,
                        SourceLineInfo const& _lineInfo,
                        ResultWas::OfType _type );

        StringRef macroName;
        std::string message;
        SourceLineInfo lineInfo;
        ResultWas::OfType type;
        unsigned int sequence;

        bool operator == ( MessageInfo const& other ) const;
        bool operator < ( MessageInfo const& other ) const;
    private:
        static unsigned int globalCount;
    };

    struct MessageStream {

        template<typename T>
        MessageStream& operator << ( T const& value ) {
            m_stream << value;
            return *this;
        }

        ReusableStringStream m_stream;
    };

    struct MessageBuilder : MessageStream {
        MessageBuilder( StringRef const& macroName,
                        SourceLineInfo const& lineInfo,
                        ResultWas::OfType type );

        template<typename T>
        MessageBuilder& operator << ( T const& value ) {
            m_stream << value;
            return *this;
        }

        MessageInfo m_info;
    };

    class ScopedMessage {
    public:
        explicit ScopedMessage( MessageBuilder const& builder );
        ~ScopedMessage();

        MessageInfo m_info;
    };

    class Capturer {
        std::vector<MessageInfo> m_messages;
        IResultCapture& m_resultCapture = getResultCapture();
        size_t m_captured = 0;
    public:
        Capturer( StringRef macroName, SourceLineInfo const& lineInfo, ResultWas::OfType resultType, StringRef names );
        ~Capturer();

        void captureValue( size_t index, std::string const& value );

        template<typename T>
        void captureValues( size_t index, T const& value ) {
            captureValue( index, Catch::Detail::stringify( value ) );
        }

        template<typename T, typename... Ts>
        void captureValues( size_t index, T const& value, Ts const&... values ) {
            captureValue( index, Catch::Detail::stringify(value) );
            captureValues( index+1, values... );
        }
    };

}
# 2182 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    struct Counts {
        Counts operator - ( Counts const& other ) const;
        Counts& operator += ( Counts const& other );

        std::size_t total() const;
        bool allPassed() const;
        bool allOk() const;

        std::size_t passed = 0;
        std::size_t failed = 0;
        std::size_t failedButOk = 0;
    };

    struct Totals {

        Totals operator - ( Totals const& other ) const;
        Totals& operator += ( Totals const& other );

        Totals delta( Totals const& prevTotals ) const;

        int error = 0;
        Counts assertions;
        Counts testCases;
    };
}




namespace Catch {

    struct SectionInfo {
        SectionInfo
            ( SourceLineInfo const& _lineInfo,
                std::string const& _name );


        SectionInfo
            ( SourceLineInfo const& _lineInfo,
                std::string const& _name,
                std::string const& ) : SectionInfo( _lineInfo, _name ) {}

        std::string name;
        std::string description;
        SourceLineInfo lineInfo;
    };

    struct SectionEndInfo {
        SectionInfo sectionInfo;
        Counts prevAssertions;
        double durationInSeconds;
    };

}






namespace Catch {

    auto getCurrentNanosecondsSinceEpoch() -> uint64_t;
    auto getEstimatedClockResolution() -> uint64_t;

    class Timer {
        uint64_t m_nanoseconds = 0;
    public:
        void start();
        auto getElapsedNanoseconds() const -> uint64_t;
        auto getElapsedMicroseconds() const -> uint64_t;
        auto getElapsedMilliseconds() const -> unsigned int;
        auto getElapsedSeconds() const -> double;
    };

}




namespace Catch {

    class Section : NonCopyable {
    public:
        Section( SectionInfo const& info );
        ~Section();


        explicit operator bool() const;

    private:
        SectionInfo m_info;

        std::string m_name;
        Counts m_assertions;
        bool m_sectionIncluded;
        Timer m_timer;
    };

}
# 2301 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    class BenchmarkLooper {

        std::string m_name;
        std::size_t m_count = 0;
        std::size_t m_iterationsToRun = 1;
        uint64_t m_resolution;
        Timer m_timer;

        static auto getResolution() -> uint64_t;
    public:

        BenchmarkLooper( StringRef name )
        : m_name( name ),
            m_resolution( getResolution() )
        {
            reportStart();
            m_timer.start();
        }

        explicit operator bool() {
            if( m_count < m_iterationsToRun )
                return true;
            return needsMoreIterations();
        }

        void increment() {
            ++m_count;
        }

        void reportStart();
        auto needsMoreIterations() -> bool;
    };

}
# 2349 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    class TestCase;
    struct ITestCaseRegistry;
    struct IExceptionTranslatorRegistry;
    struct IExceptionTranslator;
    struct IReporterRegistry;
    struct IReporterFactory;
    struct ITagAliasRegistry;
    class StartupExceptionRegistry;

    using IReporterFactoryPtr = std::shared_ptr<IReporterFactory>;

    struct IRegistryHub {
        virtual ~IRegistryHub();

        virtual IReporterRegistry const& getReporterRegistry() const = 0;
        virtual ITestCaseRegistry const& getTestCaseRegistry() const = 0;
        virtual ITagAliasRegistry const& getTagAliasRegistry() const = 0;

        virtual IExceptionTranslatorRegistry const& getExceptionTranslatorRegistry() const = 0;

        virtual StartupExceptionRegistry const& getStartupExceptionRegistry() const = 0;
    };

    struct IMutableRegistryHub {
        virtual ~IMutableRegistryHub();
        virtual void registerReporter( std::string const& name, IReporterFactoryPtr const& factory ) = 0;
        virtual void registerListener( IReporterFactoryPtr const& factory ) = 0;
        virtual void registerTest( TestCase const& testInfo ) = 0;
        virtual void registerTranslator( const IExceptionTranslator* translator ) = 0;
        virtual void registerTagAlias( std::string const& alias, std::string const& tag, SourceLineInfo const& lineInfo ) = 0;
        virtual void registerStartupException() noexcept = 0;
    };

    IRegistryHub const& getRegistryHub();
    IMutableRegistryHub& getMutableRegistryHub();
    void cleanUp();
    std::string translateActiveException();

}
# 2401 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
    using exceptionTranslateFunction = std::string(*)();

    struct IExceptionTranslator;
    using ExceptionTranslators = std::vector<std::unique_ptr<IExceptionTranslator const>>;

    struct IExceptionTranslator {
        virtual ~IExceptionTranslator();
        virtual std::string translate( ExceptionTranslators::const_iterator it, ExceptionTranslators::const_iterator itEnd ) const = 0;
    };

    struct IExceptionTranslatorRegistry {
        virtual ~IExceptionTranslatorRegistry();

        virtual std::string translateActiveException() const = 0;
    };

    class ExceptionTranslatorRegistrar {
        template<typename T>
        class ExceptionTranslator : public IExceptionTranslator {
        public:

            ExceptionTranslator( std::string(*translateFunction)( T& ) )
            : m_translateFunction( translateFunction )
            {}

            std::string translate( ExceptionTranslators::const_iterator it, ExceptionTranslators::const_iterator itEnd ) const override {
                try {
                    if( it == itEnd )
                        std::rethrow_exception(std::current_exception());
                    else
                        return (*it)->translate( it+1, itEnd );
                }
                catch( T& ex ) {
                    return m_translateFunction( ex );
                }
            }

        protected:
            std::string(*m_translateFunction)( T& );
        };

    public:
        template<typename T>
        ExceptionTranslatorRegistrar( std::string(*translateFunction)( T& ) ) {
            getMutableRegistryHub().registerTranslator
                ( new ExceptionTranslator<T>( translateFunction ) );
        }
    };
}
# 2467 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
namespace Detail {

    class Approx {
    private:
        bool equalityComparisonImpl(double other) const;


        void setMargin(double margin);


        void setEpsilon(double epsilon);

    public:
        explicit Approx ( double value );

        static Approx custom();

        Approx operator-() const;

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        Approx operator()( T const& value ) {
            Approx approx( static_cast<double>(value) );
            approx.m_epsilon = m_epsilon;
            approx.m_margin = m_margin;
            approx.m_scale = m_scale;
            return approx;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        explicit Approx( T const& value ): Approx(static_cast<double>(value))
        {}

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator == ( const T& lhs, Approx const& rhs ) {
            auto lhs_v = static_cast<double>(lhs);
            return rhs.equalityComparisonImpl(lhs_v);
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator == ( Approx const& lhs, const T& rhs ) {
            return operator==( rhs, lhs );
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator != ( T const& lhs, Approx const& rhs ) {
            return !operator==( lhs, rhs );
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator != ( Approx const& lhs, T const& rhs ) {
            return !operator==( rhs, lhs );
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator <= ( T const& lhs, Approx const& rhs ) {
            return static_cast<double>(lhs) < rhs.m_value || lhs == rhs;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator <= ( Approx const& lhs, T const& rhs ) {
            return lhs.m_value < static_cast<double>(rhs) || lhs == rhs;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator >= ( T const& lhs, Approx const& rhs ) {
            return static_cast<double>(lhs) > rhs.m_value || lhs == rhs;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        friend bool operator >= ( Approx const& lhs, T const& rhs ) {
            return lhs.m_value > static_cast<double>(rhs) || lhs == rhs;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        Approx& epsilon( T const& newEpsilon ) {
            double epsilonAsDouble = static_cast<double>(newEpsilon);
            setEpsilon(epsilonAsDouble);
            return *this;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        Approx& margin( T const& newMargin ) {
            double marginAsDouble = static_cast<double>(newMargin);
            setMargin(marginAsDouble);
            return *this;
        }

        template <typename T, typename = typename std::enable_if<std::is_constructible<double, T>::value>::type>
        Approx& scale( T const& newScale ) {
            m_scale = static_cast<double>(newScale);
            return *this;
        }

        std::string toString() const;

    private:
        double m_epsilon;
        double m_margin;
        double m_scale;
        double m_value;
    };
}

namespace literals {
    Detail::Approx operator "" _a(long double val);
    Detail::Approx operator "" _a(unsigned long long val);
}

template<>
struct StringMaker<Catch::Detail::Approx> {
    static std::string convert(Catch::Detail::Approx const& value);
};

}







namespace Catch {

    bool startsWith( std::string const& s, std::string const& prefix );
    bool startsWith( std::string const& s, char prefix );
    bool endsWith( std::string const& s, std::string const& suffix );
    bool endsWith( std::string const& s, char suffix );
    bool contains( std::string const& s, std::string const& infix );
    void toLowerInPlace( std::string& s );
    std::string toLower( std::string const& s );
    std::string trim( std::string const& str );
    bool replaceInPlace( std::string& str, std::string const& replaceThis, std::string const& withThis );

    struct pluralise {
        pluralise( std::size_t count, std::string const& label );

        friend std::ostream& operator << ( std::ostream& os, pluralise const& pluraliser );

        std::size_t m_count;
        std::string m_label;
    };
}
# 2620 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {
namespace Matchers {
    namespace Impl {

        template<typename ArgT> struct MatchAllOf;
        template<typename ArgT> struct MatchAnyOf;
        template<typename ArgT> struct MatchNotOf;

        class MatcherUntypedBase {
        public:
            MatcherUntypedBase() = default;
            MatcherUntypedBase ( MatcherUntypedBase const& ) = default;
            MatcherUntypedBase& operator = ( MatcherUntypedBase const& ) = delete;
            std::string toString() const;

        protected:
            virtual ~MatcherUntypedBase();
            virtual std::string describe() const = 0;
            mutable std::string m_cachedToString;
        };






        template<typename ObjectT>
        struct MatcherMethod {
            virtual bool match( ObjectT const& arg ) const = 0;
        };





        template<typename T>
        struct MatcherBase : MatcherUntypedBase, MatcherMethod<T> {

            MatchAllOf<T> operator && ( MatcherBase const& other ) const;
            MatchAnyOf<T> operator || ( MatcherBase const& other ) const;
            MatchNotOf<T> operator ! () const;
        };

        template<typename ArgT>
        struct MatchAllOf : MatcherBase<ArgT> {
            bool match( ArgT const& arg ) const override {
                for( auto matcher : m_matchers ) {
                    if (!matcher->match(arg))
                        return false;
                }
                return true;
            }
            std::string describe() const override {
                std::string description;
                description.reserve( 4 + m_matchers.size()*32 );
                description += "( ";
                bool first = true;
                for( auto matcher : m_matchers ) {
                    if( first )
                        first = false;
                    else
                        description += " and ";
                    description += matcher->toString();
                }
                description += " )";
                return description;
            }

            MatchAllOf<ArgT>& operator && ( MatcherBase<ArgT> const& other ) {
                m_matchers.push_back( &other );
                return *this;
            }

            std::vector<MatcherBase<ArgT> const*> m_matchers;
        };
        template<typename ArgT>
        struct MatchAnyOf : MatcherBase<ArgT> {

            bool match( ArgT const& arg ) const override {
                for( auto matcher : m_matchers ) {
                    if (matcher->match(arg))
                        return true;
                }
                return false;
            }
            std::string describe() const override {
                std::string description;
                description.reserve( 4 + m_matchers.size()*32 );
                description += "( ";
                bool first = true;
                for( auto matcher : m_matchers ) {
                    if( first )
                        first = false;
                    else
                        description += " or ";
                    description += matcher->toString();
                }
                description += " )";
                return description;
            }

            MatchAnyOf<ArgT>& operator || ( MatcherBase<ArgT> const& other ) {
                m_matchers.push_back( &other );
                return *this;
            }

            std::vector<MatcherBase<ArgT> const*> m_matchers;
        };

        template<typename ArgT>
        struct MatchNotOf : MatcherBase<ArgT> {

            MatchNotOf( MatcherBase<ArgT> const& underlyingMatcher ) : m_underlyingMatcher( underlyingMatcher ) {}

            bool match( ArgT const& arg ) const override {
                return !m_underlyingMatcher.match( arg );
            }

            std::string describe() const override {
                return "not " + m_underlyingMatcher.toString();
            }
            MatcherBase<ArgT> const& m_underlyingMatcher;
        };

        template<typename T>
        MatchAllOf<T> MatcherBase<T>::operator && ( MatcherBase const& other ) const {
            return MatchAllOf<T>() && *this && other;
        }
        template<typename T>
        MatchAnyOf<T> MatcherBase<T>::operator || ( MatcherBase const& other ) const {
            return MatchAnyOf<T>() || *this || other;
        }
        template<typename T>
        MatchNotOf<T> MatcherBase<T>::operator ! () const {
            return MatchNotOf<T>( *this );
        }

    }

}

using namespace Matchers;
using Matchers::Impl::MatcherBase;

}





# 1 "/opt/sutton/include/c++/9.0.0/cmath" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/cmath" 3
       
# 40 "/opt/sutton/include/c++/9.0.0/cmath" 3





# 1 "/usr/include/math.h" 1 3 4
# 27 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/math.h" 2 3 4






extern "C" {





# 1 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libm-simd-decl-stubs.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 2 3 4
# 41 "/usr/include/math.h" 2 3 4
# 138 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/flt-eval-method.h" 1 3 4
# 139 "/usr/include/math.h" 2 3 4
# 149 "/usr/include/math.h" 3 4
typedef float float_t;
typedef double double_t;
# 190 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/fp-logb.h" 1 3 4
# 191 "/usr/include/math.h" 2 3 4
# 233 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/fp-fast.h" 1 3 4
# 234 "/usr/include/math.h" 2 3 4



enum
  {
    FP_INT_UPWARD =

      0,
    FP_INT_DOWNWARD =

      1,
    FP_INT_TOWARDZERO =

      2,
    FP_INT_TONEARESTFROMZERO =

      3,
    FP_INT_TONEAREST =

      4,
  };
# 289 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassify (double __value) throw ()
     __attribute__ ((__const__));


extern int __signbit (double __value) throw ()
     __attribute__ ((__const__));



extern int __isinf (double __value) throw () __attribute__ ((__const__));


extern int __finite (double __value) throw () __attribute__ ((__const__));


extern int __isnan (double __value) throw () __attribute__ ((__const__));


extern int __iseqsig (double __x, double __y) throw ();


extern int __issignaling (double __value) throw ()
     __attribute__ ((__const__));
# 290 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern double acos (double __x) throw (); extern double __acos (double __x) throw ();

extern double asin (double __x) throw (); extern double __asin (double __x) throw ();

extern double atan (double __x) throw (); extern double __atan (double __x) throw ();

extern double atan2 (double __y, double __x) throw (); extern double __atan2 (double __y, double __x) throw ();


 extern double cos (double __x) throw (); extern double __cos (double __x) throw ();

 extern double sin (double __x) throw (); extern double __sin (double __x) throw ();

extern double tan (double __x) throw (); extern double __tan (double __x) throw ();




extern double cosh (double __x) throw (); extern double __cosh (double __x) throw ();

extern double sinh (double __x) throw (); extern double __sinh (double __x) throw ();

extern double tanh (double __x) throw (); extern double __tanh (double __x) throw ();



 extern void sincos (double __x, double *__sinx, double *__cosx) throw (); extern void __sincos (double __x, double *__sinx, double *__cosx) throw ()
                                                        ;




extern double acosh (double __x) throw (); extern double __acosh (double __x) throw ();

extern double asinh (double __x) throw (); extern double __asinh (double __x) throw ();

extern double atanh (double __x) throw (); extern double __atanh (double __x) throw ();





 extern double exp (double __x) throw (); extern double __exp (double __x) throw ();


extern double frexp (double __x, int *__exponent) throw (); extern double __frexp (double __x, int *__exponent) throw ();


extern double ldexp (double __x, int __exponent) throw (); extern double __ldexp (double __x, int __exponent) throw ();


 extern double log (double __x) throw (); extern double __log (double __x) throw ();


extern double log10 (double __x) throw (); extern double __log10 (double __x) throw ();


extern double modf (double __x, double *__iptr) throw (); extern double __modf (double __x, double *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern double exp10 (double __x) throw (); extern double __exp10 (double __x) throw ();




extern double expm1 (double __x) throw (); extern double __expm1 (double __x) throw ();


extern double log1p (double __x) throw (); extern double __log1p (double __x) throw ();


extern double logb (double __x) throw (); extern double __logb (double __x) throw ();




extern double exp2 (double __x) throw (); extern double __exp2 (double __x) throw ();


extern double log2 (double __x) throw (); extern double __log2 (double __x) throw ();






 extern double pow (double __x, double __y) throw (); extern double __pow (double __x, double __y) throw ();


extern double sqrt (double __x) throw (); extern double __sqrt (double __x) throw ();



extern double hypot (double __x, double __y) throw (); extern double __hypot (double __x, double __y) throw ();




extern double cbrt (double __x) throw (); extern double __cbrt (double __x) throw ();






extern double ceil (double __x) throw () __attribute__ ((__const__)); extern double __ceil (double __x) throw () __attribute__ ((__const__));


extern double fabs (double __x) throw () __attribute__ ((__const__)); extern double __fabs (double __x) throw () __attribute__ ((__const__));


extern double floor (double __x) throw () __attribute__ ((__const__)); extern double __floor (double __x) throw () __attribute__ ((__const__));


extern double fmod (double __x, double __y) throw (); extern double __fmod (double __x, double __y) throw ();
# 182 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int finite (double __value) throw () __attribute__ ((__const__));


extern double drem (double __x, double __y) throw (); extern double __drem (double __x, double __y) throw ();



extern double significand (double __x) throw (); extern double __significand (double __x) throw ();






extern double copysign (double __x, double __y) throw () __attribute__ ((__const__)); extern double __copysign (double __x, double __y) throw () __attribute__ ((__const__));




extern double nan (const char *__tagb) throw () __attribute__ ((__const__)); extern double __nan (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern double j0 (double) throw (); extern double __j0 (double) throw ();
extern double j1 (double) throw (); extern double __j1 (double) throw ();
extern double jn (int, double) throw (); extern double __jn (int, double) throw ();
extern double y0 (double) throw (); extern double __y0 (double) throw ();
extern double y1 (double) throw (); extern double __y1 (double) throw ();
extern double yn (int, double) throw (); extern double __yn (int, double) throw ();





extern double erf (double) throw (); extern double __erf (double) throw ();
extern double erfc (double) throw (); extern double __erfc (double) throw ();
extern double lgamma (double) throw (); extern double __lgamma (double) throw ();




extern double tgamma (double) throw (); extern double __tgamma (double) throw ();





extern double gamma (double) throw (); extern double __gamma (double) throw ();







extern double lgamma_r (double, int *__signgamp) throw (); extern double __lgamma_r (double, int *__signgamp) throw ();






extern double rint (double __x) throw (); extern double __rint (double __x) throw ();


extern double nextafter (double __x, double __y) throw (); extern double __nextafter (double __x, double __y) throw ();

extern double nexttoward (double __x, long double __y) throw (); extern double __nexttoward (double __x, long double __y) throw ();




extern double nextdown (double __x) throw (); extern double __nextdown (double __x) throw ();

extern double nextup (double __x) throw (); extern double __nextup (double __x) throw ();



extern double remainder (double __x, double __y) throw (); extern double __remainder (double __x, double __y) throw ();



extern double scalbn (double __x, int __n) throw (); extern double __scalbn (double __x, int __n) throw ();



extern int ilogb (double __x) throw (); extern int __ilogb (double __x) throw ();




extern long int llogb (double __x) throw (); extern long int __llogb (double __x) throw ();




extern double scalbln (double __x, long int __n) throw (); extern double __scalbln (double __x, long int __n) throw ();



extern double nearbyint (double __x) throw (); extern double __nearbyint (double __x) throw ();



extern double round (double __x) throw () __attribute__ ((__const__)); extern double __round (double __x) throw () __attribute__ ((__const__));



extern double trunc (double __x) throw () __attribute__ ((__const__)); extern double __trunc (double __x) throw () __attribute__ ((__const__));




extern double remquo (double __x, double __y, int *__quo) throw (); extern double __remquo (double __x, double __y, int *__quo) throw ();






extern long int lrint (double __x) throw (); extern long int __lrint (double __x) throw ();
__extension__
extern long long int llrint (double __x) throw (); extern long long int __llrint (double __x) throw ();



extern long int lround (double __x) throw (); extern long int __lround (double __x) throw ();
__extension__
extern long long int llround (double __x) throw (); extern long long int __llround (double __x) throw ();



extern double fdim (double __x, double __y) throw (); extern double __fdim (double __x, double __y) throw ();


extern double fmax (double __x, double __y) throw () __attribute__ ((__const__)); extern double __fmax (double __x, double __y) throw () __attribute__ ((__const__));


extern double fmin (double __x, double __y) throw () __attribute__ ((__const__)); extern double __fmin (double __x, double __y) throw () __attribute__ ((__const__));


extern double fma (double __x, double __y, double __z) throw (); extern double __fma (double __x, double __y, double __z) throw ();




extern double roundeven (double __x) throw () __attribute__ ((__const__)); extern double __roundeven (double __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfp (double __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfp (double __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfp (double __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfp (double __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpx (double __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpx (double __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpx (double __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpx (double __x, int __round, unsigned int __width) throw ()
                               ;


extern double fmaxmag (double __x, double __y) throw () __attribute__ ((__const__)); extern double __fmaxmag (double __x, double __y) throw () __attribute__ ((__const__));


extern double fminmag (double __x, double __y) throw () __attribute__ ((__const__)); extern double __fminmag (double __x, double __y) throw () __attribute__ ((__const__));


extern int totalorder (double __x, double __y) throw ()
     __attribute__ ((__const__));


extern int totalordermag (double __x, double __y) throw ()
     __attribute__ ((__const__));


extern int canonicalize (double *__cx, const double *__x) throw ();


extern double getpayload (const double *__x) throw (); extern double __getpayload (const double *__x) throw ();


extern int setpayload (double *__x, double __payload) throw ();


extern int setpayloadsig (double *__x, double __payload) throw ();







extern double scalb (double __x, double __n) throw (); extern double __scalb (double __x, double __n) throw ();
# 291 "/usr/include/math.h" 2 3 4
# 306 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyf (float __value) throw ()
     __attribute__ ((__const__));


extern int __signbitf (float __value) throw ()
     __attribute__ ((__const__));



extern int __isinff (float __value) throw () __attribute__ ((__const__));


extern int __finitef (float __value) throw () __attribute__ ((__const__));


extern int __isnanf (float __value) throw () __attribute__ ((__const__));


extern int __iseqsigf (float __x, float __y) throw ();


extern int __issignalingf (float __value) throw ()
     __attribute__ ((__const__));
# 307 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern float acosf (float __x) throw (); extern float __acosf (float __x) throw ();

extern float asinf (float __x) throw (); extern float __asinf (float __x) throw ();

extern float atanf (float __x) throw (); extern float __atanf (float __x) throw ();

extern float atan2f (float __y, float __x) throw (); extern float __atan2f (float __y, float __x) throw ();


 extern float cosf (float __x) throw (); extern float __cosf (float __x) throw ();

 extern float sinf (float __x) throw (); extern float __sinf (float __x) throw ();

extern float tanf (float __x) throw (); extern float __tanf (float __x) throw ();




extern float coshf (float __x) throw (); extern float __coshf (float __x) throw ();

extern float sinhf (float __x) throw (); extern float __sinhf (float __x) throw ();

extern float tanhf (float __x) throw (); extern float __tanhf (float __x) throw ();



 extern void sincosf (float __x, float *__sinx, float *__cosx) throw (); extern void __sincosf (float __x, float *__sinx, float *__cosx) throw ()
                                                        ;




extern float acoshf (float __x) throw (); extern float __acoshf (float __x) throw ();

extern float asinhf (float __x) throw (); extern float __asinhf (float __x) throw ();

extern float atanhf (float __x) throw (); extern float __atanhf (float __x) throw ();





 extern float expf (float __x) throw (); extern float __expf (float __x) throw ();


extern float frexpf (float __x, int *__exponent) throw (); extern float __frexpf (float __x, int *__exponent) throw ();


extern float ldexpf (float __x, int __exponent) throw (); extern float __ldexpf (float __x, int __exponent) throw ();


 extern float logf (float __x) throw (); extern float __logf (float __x) throw ();


extern float log10f (float __x) throw (); extern float __log10f (float __x) throw ();


extern float modff (float __x, float *__iptr) throw (); extern float __modff (float __x, float *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern float exp10f (float __x) throw (); extern float __exp10f (float __x) throw ();




extern float expm1f (float __x) throw (); extern float __expm1f (float __x) throw ();


extern float log1pf (float __x) throw (); extern float __log1pf (float __x) throw ();


extern float logbf (float __x) throw (); extern float __logbf (float __x) throw ();




extern float exp2f (float __x) throw (); extern float __exp2f (float __x) throw ();


extern float log2f (float __x) throw (); extern float __log2f (float __x) throw ();






 extern float powf (float __x, float __y) throw (); extern float __powf (float __x, float __y) throw ();


extern float sqrtf (float __x) throw (); extern float __sqrtf (float __x) throw ();



extern float hypotf (float __x, float __y) throw (); extern float __hypotf (float __x, float __y) throw ();




extern float cbrtf (float __x) throw (); extern float __cbrtf (float __x) throw ();






extern float ceilf (float __x) throw () __attribute__ ((__const__)); extern float __ceilf (float __x) throw () __attribute__ ((__const__));


extern float fabsf (float __x) throw () __attribute__ ((__const__)); extern float __fabsf (float __x) throw () __attribute__ ((__const__));


extern float floorf (float __x) throw () __attribute__ ((__const__)); extern float __floorf (float __x) throw () __attribute__ ((__const__));


extern float fmodf (float __x, float __y) throw (); extern float __fmodf (float __x, float __y) throw ();
# 177 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinff (float __value) throw () __attribute__ ((__const__));




extern int finitef (float __value) throw () __attribute__ ((__const__));


extern float dremf (float __x, float __y) throw (); extern float __dremf (float __x, float __y) throw ();



extern float significandf (float __x) throw (); extern float __significandf (float __x) throw ();






extern float copysignf (float __x, float __y) throw () __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) throw () __attribute__ ((__const__));




extern float nanf (const char *__tagb) throw () __attribute__ ((__const__)); extern float __nanf (const char *__tagb) throw () __attribute__ ((__const__));
# 211 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanf (float __value) throw () __attribute__ ((__const__));





extern float j0f (float) throw (); extern float __j0f (float) throw ();
extern float j1f (float) throw (); extern float __j1f (float) throw ();
extern float jnf (int, float) throw (); extern float __jnf (int, float) throw ();
extern float y0f (float) throw (); extern float __y0f (float) throw ();
extern float y1f (float) throw (); extern float __y1f (float) throw ();
extern float ynf (int, float) throw (); extern float __ynf (int, float) throw ();





extern float erff (float) throw (); extern float __erff (float) throw ();
extern float erfcf (float) throw (); extern float __erfcf (float) throw ();
extern float lgammaf (float) throw (); extern float __lgammaf (float) throw ();




extern float tgammaf (float) throw (); extern float __tgammaf (float) throw ();





extern float gammaf (float) throw (); extern float __gammaf (float) throw ();







extern float lgammaf_r (float, int *__signgamp) throw (); extern float __lgammaf_r (float, int *__signgamp) throw ();






extern float rintf (float __x) throw (); extern float __rintf (float __x) throw ();


extern float nextafterf (float __x, float __y) throw (); extern float __nextafterf (float __x, float __y) throw ();

extern float nexttowardf (float __x, long double __y) throw (); extern float __nexttowardf (float __x, long double __y) throw ();




extern float nextdownf (float __x) throw (); extern float __nextdownf (float __x) throw ();

extern float nextupf (float __x) throw (); extern float __nextupf (float __x) throw ();



extern float remainderf (float __x, float __y) throw (); extern float __remainderf (float __x, float __y) throw ();



extern float scalbnf (float __x, int __n) throw (); extern float __scalbnf (float __x, int __n) throw ();



extern int ilogbf (float __x) throw (); extern int __ilogbf (float __x) throw ();




extern long int llogbf (float __x) throw (); extern long int __llogbf (float __x) throw ();




extern float scalblnf (float __x, long int __n) throw (); extern float __scalblnf (float __x, long int __n) throw ();



extern float nearbyintf (float __x) throw (); extern float __nearbyintf (float __x) throw ();



extern float roundf (float __x) throw () __attribute__ ((__const__)); extern float __roundf (float __x) throw () __attribute__ ((__const__));



extern float truncf (float __x) throw () __attribute__ ((__const__)); extern float __truncf (float __x) throw () __attribute__ ((__const__));




extern float remquof (float __x, float __y, int *__quo) throw (); extern float __remquof (float __x, float __y, int *__quo) throw ();






extern long int lrintf (float __x) throw (); extern long int __lrintf (float __x) throw ();
__extension__
extern long long int llrintf (float __x) throw (); extern long long int __llrintf (float __x) throw ();



extern long int lroundf (float __x) throw (); extern long int __lroundf (float __x) throw ();
__extension__
extern long long int llroundf (float __x) throw (); extern long long int __llroundf (float __x) throw ();



extern float fdimf (float __x, float __y) throw (); extern float __fdimf (float __x, float __y) throw ();


extern float fmaxf (float __x, float __y) throw () __attribute__ ((__const__)); extern float __fmaxf (float __x, float __y) throw () __attribute__ ((__const__));


extern float fminf (float __x, float __y) throw () __attribute__ ((__const__)); extern float __fminf (float __x, float __y) throw () __attribute__ ((__const__));


extern float fmaf (float __x, float __y, float __z) throw (); extern float __fmaf (float __x, float __y, float __z) throw ();




extern float roundevenf (float __x) throw () __attribute__ ((__const__)); extern float __roundevenf (float __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf (float __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf (float __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf (float __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf (float __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf (float __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf (float __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf (float __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf (float __x, int __round, unsigned int __width) throw ()
                               ;


extern float fmaxmagf (float __x, float __y) throw () __attribute__ ((__const__)); extern float __fmaxmagf (float __x, float __y) throw () __attribute__ ((__const__));


extern float fminmagf (float __x, float __y) throw () __attribute__ ((__const__)); extern float __fminmagf (float __x, float __y) throw () __attribute__ ((__const__));


extern int totalorderf (float __x, float __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf (float __x, float __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef (float *__cx, const float *__x) throw ();


extern float getpayloadf (const float *__x) throw (); extern float __getpayloadf (const float *__x) throw ();


extern int setpayloadf (float *__x, float __payload) throw ();


extern int setpayloadsigf (float *__x, float __payload) throw ();







extern float scalbf (float __x, float __n) throw (); extern float __scalbf (float __x, float __n) throw ();
# 308 "/usr/include/math.h" 2 3 4
# 349 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyl (long double __value) throw ()
     __attribute__ ((__const__));


extern int __signbitl (long double __value) throw ()
     __attribute__ ((__const__));



extern int __isinfl (long double __value) throw () __attribute__ ((__const__));


extern int __finitel (long double __value) throw () __attribute__ ((__const__));


extern int __isnanl (long double __value) throw () __attribute__ ((__const__));


extern int __iseqsigl (long double __x, long double __y) throw ();


extern int __issignalingl (long double __value) throw ()
     __attribute__ ((__const__));
# 350 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern long double acosl (long double __x) throw (); extern long double __acosl (long double __x) throw ();

extern long double asinl (long double __x) throw (); extern long double __asinl (long double __x) throw ();

extern long double atanl (long double __x) throw (); extern long double __atanl (long double __x) throw ();

extern long double atan2l (long double __y, long double __x) throw (); extern long double __atan2l (long double __y, long double __x) throw ();


 extern long double cosl (long double __x) throw (); extern long double __cosl (long double __x) throw ();

 extern long double sinl (long double __x) throw (); extern long double __sinl (long double __x) throw ();

extern long double tanl (long double __x) throw (); extern long double __tanl (long double __x) throw ();




extern long double coshl (long double __x) throw (); extern long double __coshl (long double __x) throw ();

extern long double sinhl (long double __x) throw (); extern long double __sinhl (long double __x) throw ();

extern long double tanhl (long double __x) throw (); extern long double __tanhl (long double __x) throw ();



 extern void sincosl (long double __x, long double *__sinx, long double *__cosx) throw (); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) throw ()
                                                        ;




extern long double acoshl (long double __x) throw (); extern long double __acoshl (long double __x) throw ();

extern long double asinhl (long double __x) throw (); extern long double __asinhl (long double __x) throw ();

extern long double atanhl (long double __x) throw (); extern long double __atanhl (long double __x) throw ();





 extern long double expl (long double __x) throw (); extern long double __expl (long double __x) throw ();


extern long double frexpl (long double __x, int *__exponent) throw (); extern long double __frexpl (long double __x, int *__exponent) throw ();


extern long double ldexpl (long double __x, int __exponent) throw (); extern long double __ldexpl (long double __x, int __exponent) throw ();


 extern long double logl (long double __x) throw (); extern long double __logl (long double __x) throw ();


extern long double log10l (long double __x) throw (); extern long double __log10l (long double __x) throw ();


extern long double modfl (long double __x, long double *__iptr) throw (); extern long double __modfl (long double __x, long double *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern long double exp10l (long double __x) throw (); extern long double __exp10l (long double __x) throw ();




extern long double expm1l (long double __x) throw (); extern long double __expm1l (long double __x) throw ();


extern long double log1pl (long double __x) throw (); extern long double __log1pl (long double __x) throw ();


extern long double logbl (long double __x) throw (); extern long double __logbl (long double __x) throw ();




extern long double exp2l (long double __x) throw (); extern long double __exp2l (long double __x) throw ();


extern long double log2l (long double __x) throw (); extern long double __log2l (long double __x) throw ();






 extern long double powl (long double __x, long double __y) throw (); extern long double __powl (long double __x, long double __y) throw ();


extern long double sqrtl (long double __x) throw (); extern long double __sqrtl (long double __x) throw ();



extern long double hypotl (long double __x, long double __y) throw (); extern long double __hypotl (long double __x, long double __y) throw ();




extern long double cbrtl (long double __x) throw (); extern long double __cbrtl (long double __x) throw ();






extern long double ceill (long double __x) throw () __attribute__ ((__const__)); extern long double __ceill (long double __x) throw () __attribute__ ((__const__));


extern long double fabsl (long double __x) throw () __attribute__ ((__const__)); extern long double __fabsl (long double __x) throw () __attribute__ ((__const__));


extern long double floorl (long double __x) throw () __attribute__ ((__const__)); extern long double __floorl (long double __x) throw () __attribute__ ((__const__));


extern long double fmodl (long double __x, long double __y) throw (); extern long double __fmodl (long double __x, long double __y) throw ();
# 177 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinfl (long double __value) throw () __attribute__ ((__const__));




extern int finitel (long double __value) throw () __attribute__ ((__const__));


extern long double dreml (long double __x, long double __y) throw (); extern long double __dreml (long double __x, long double __y) throw ();



extern long double significandl (long double __x) throw (); extern long double __significandl (long double __x) throw ();






extern long double copysignl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __copysignl (long double __x, long double __y) throw () __attribute__ ((__const__));




extern long double nanl (const char *__tagb) throw () __attribute__ ((__const__)); extern long double __nanl (const char *__tagb) throw () __attribute__ ((__const__));
# 211 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanl (long double __value) throw () __attribute__ ((__const__));





extern long double j0l (long double) throw (); extern long double __j0l (long double) throw ();
extern long double j1l (long double) throw (); extern long double __j1l (long double) throw ();
extern long double jnl (int, long double) throw (); extern long double __jnl (int, long double) throw ();
extern long double y0l (long double) throw (); extern long double __y0l (long double) throw ();
extern long double y1l (long double) throw (); extern long double __y1l (long double) throw ();
extern long double ynl (int, long double) throw (); extern long double __ynl (int, long double) throw ();





extern long double erfl (long double) throw (); extern long double __erfl (long double) throw ();
extern long double erfcl (long double) throw (); extern long double __erfcl (long double) throw ();
extern long double lgammal (long double) throw (); extern long double __lgammal (long double) throw ();




extern long double tgammal (long double) throw (); extern long double __tgammal (long double) throw ();





extern long double gammal (long double) throw (); extern long double __gammal (long double) throw ();







extern long double lgammal_r (long double, int *__signgamp) throw (); extern long double __lgammal_r (long double, int *__signgamp) throw ();






extern long double rintl (long double __x) throw (); extern long double __rintl (long double __x) throw ();


extern long double nextafterl (long double __x, long double __y) throw (); extern long double __nextafterl (long double __x, long double __y) throw ();

extern long double nexttowardl (long double __x, long double __y) throw (); extern long double __nexttowardl (long double __x, long double __y) throw ();




extern long double nextdownl (long double __x) throw (); extern long double __nextdownl (long double __x) throw ();

extern long double nextupl (long double __x) throw (); extern long double __nextupl (long double __x) throw ();



extern long double remainderl (long double __x, long double __y) throw (); extern long double __remainderl (long double __x, long double __y) throw ();



extern long double scalbnl (long double __x, int __n) throw (); extern long double __scalbnl (long double __x, int __n) throw ();



extern int ilogbl (long double __x) throw (); extern int __ilogbl (long double __x) throw ();




extern long int llogbl (long double __x) throw (); extern long int __llogbl (long double __x) throw ();




extern long double scalblnl (long double __x, long int __n) throw (); extern long double __scalblnl (long double __x, long int __n) throw ();



extern long double nearbyintl (long double __x) throw (); extern long double __nearbyintl (long double __x) throw ();



extern long double roundl (long double __x) throw () __attribute__ ((__const__)); extern long double __roundl (long double __x) throw () __attribute__ ((__const__));



extern long double truncl (long double __x) throw () __attribute__ ((__const__)); extern long double __truncl (long double __x) throw () __attribute__ ((__const__));




extern long double remquol (long double __x, long double __y, int *__quo) throw (); extern long double __remquol (long double __x, long double __y, int *__quo) throw ();






extern long int lrintl (long double __x) throw (); extern long int __lrintl (long double __x) throw ();
__extension__
extern long long int llrintl (long double __x) throw (); extern long long int __llrintl (long double __x) throw ();



extern long int lroundl (long double __x) throw (); extern long int __lroundl (long double __x) throw ();
__extension__
extern long long int llroundl (long double __x) throw (); extern long long int __llroundl (long double __x) throw ();



extern long double fdiml (long double __x, long double __y) throw (); extern long double __fdiml (long double __x, long double __y) throw ();


extern long double fmaxl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __fmaxl (long double __x, long double __y) throw () __attribute__ ((__const__));


extern long double fminl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __fminl (long double __x, long double __y) throw () __attribute__ ((__const__));


extern long double fmal (long double __x, long double __y, long double __z) throw (); extern long double __fmal (long double __x, long double __y, long double __z) throw ();




extern long double roundevenl (long double __x) throw () __attribute__ ((__const__)); extern long double __roundevenl (long double __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpl (long double __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpl (long double __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpl (long double __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpl (long double __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxl (long double __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxl (long double __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxl (long double __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxl (long double __x, int __round, unsigned int __width) throw ()
                               ;


extern long double fmaxmagl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __fmaxmagl (long double __x, long double __y) throw () __attribute__ ((__const__));


extern long double fminmagl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __fminmagl (long double __x, long double __y) throw () __attribute__ ((__const__));


extern int totalorderl (long double __x, long double __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagl (long double __x, long double __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizel (long double *__cx, const long double *__x) throw ();


extern long double getpayloadl (const long double *__x) throw (); extern long double __getpayloadl (const long double *__x) throw ();


extern int setpayloadl (long double *__x, long double __payload) throw ();


extern int setpayloadsigl (long double *__x, long double __payload) throw ();







extern long double scalbl (long double __x, long double __n) throw (); extern long double __scalbl (long double __x, long double __n) throw ();
# 351 "/usr/include/math.h" 2 3 4
# 389 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 acosf32 (_Float32 __x) throw (); extern _Float32 __acosf32 (_Float32 __x) throw ();

extern _Float32 asinf32 (_Float32 __x) throw (); extern _Float32 __asinf32 (_Float32 __x) throw ();

extern _Float32 atanf32 (_Float32 __x) throw (); extern _Float32 __atanf32 (_Float32 __x) throw ();

extern _Float32 atan2f32 (_Float32 __y, _Float32 __x) throw (); extern _Float32 __atan2f32 (_Float32 __y, _Float32 __x) throw ();


 extern _Float32 cosf32 (_Float32 __x) throw (); extern _Float32 __cosf32 (_Float32 __x) throw ();

 extern _Float32 sinf32 (_Float32 __x) throw (); extern _Float32 __sinf32 (_Float32 __x) throw ();

extern _Float32 tanf32 (_Float32 __x) throw (); extern _Float32 __tanf32 (_Float32 __x) throw ();




extern _Float32 coshf32 (_Float32 __x) throw (); extern _Float32 __coshf32 (_Float32 __x) throw ();

extern _Float32 sinhf32 (_Float32 __x) throw (); extern _Float32 __sinhf32 (_Float32 __x) throw ();

extern _Float32 tanhf32 (_Float32 __x) throw (); extern _Float32 __tanhf32 (_Float32 __x) throw ();



 extern void sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) throw (); extern void __sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) throw ()
                                                        ;




extern _Float32 acoshf32 (_Float32 __x) throw (); extern _Float32 __acoshf32 (_Float32 __x) throw ();

extern _Float32 asinhf32 (_Float32 __x) throw (); extern _Float32 __asinhf32 (_Float32 __x) throw ();

extern _Float32 atanhf32 (_Float32 __x) throw (); extern _Float32 __atanhf32 (_Float32 __x) throw ();





 extern _Float32 expf32 (_Float32 __x) throw (); extern _Float32 __expf32 (_Float32 __x) throw ();


extern _Float32 frexpf32 (_Float32 __x, int *__exponent) throw (); extern _Float32 __frexpf32 (_Float32 __x, int *__exponent) throw ();


extern _Float32 ldexpf32 (_Float32 __x, int __exponent) throw (); extern _Float32 __ldexpf32 (_Float32 __x, int __exponent) throw ();


 extern _Float32 logf32 (_Float32 __x) throw (); extern _Float32 __logf32 (_Float32 __x) throw ();


extern _Float32 log10f32 (_Float32 __x) throw (); extern _Float32 __log10f32 (_Float32 __x) throw ();


extern _Float32 modff32 (_Float32 __x, _Float32 *__iptr) throw (); extern _Float32 __modff32 (_Float32 __x, _Float32 *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern _Float32 exp10f32 (_Float32 __x) throw (); extern _Float32 __exp10f32 (_Float32 __x) throw ();




extern _Float32 expm1f32 (_Float32 __x) throw (); extern _Float32 __expm1f32 (_Float32 __x) throw ();


extern _Float32 log1pf32 (_Float32 __x) throw (); extern _Float32 __log1pf32 (_Float32 __x) throw ();


extern _Float32 logbf32 (_Float32 __x) throw (); extern _Float32 __logbf32 (_Float32 __x) throw ();




extern _Float32 exp2f32 (_Float32 __x) throw (); extern _Float32 __exp2f32 (_Float32 __x) throw ();


extern _Float32 log2f32 (_Float32 __x) throw (); extern _Float32 __log2f32 (_Float32 __x) throw ();






 extern _Float32 powf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __powf32 (_Float32 __x, _Float32 __y) throw ();


extern _Float32 sqrtf32 (_Float32 __x) throw (); extern _Float32 __sqrtf32 (_Float32 __x) throw ();



extern _Float32 hypotf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __hypotf32 (_Float32 __x, _Float32 __y) throw ();




extern _Float32 cbrtf32 (_Float32 __x) throw (); extern _Float32 __cbrtf32 (_Float32 __x) throw ();






extern _Float32 ceilf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __ceilf32 (_Float32 __x) throw () __attribute__ ((__const__));


extern _Float32 fabsf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __fabsf32 (_Float32 __x) throw () __attribute__ ((__const__));


extern _Float32 floorf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __floorf32 (_Float32 __x) throw () __attribute__ ((__const__));


extern _Float32 fmodf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __fmodf32 (_Float32 __x, _Float32 __y) throw ();
# 196 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 copysignf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__)); extern _Float32 __copysignf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__));




extern _Float32 nanf32 (const char *__tagb) throw () __attribute__ ((__const__)); extern _Float32 __nanf32 (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 j0f32 (_Float32) throw (); extern _Float32 __j0f32 (_Float32) throw ();
extern _Float32 j1f32 (_Float32) throw (); extern _Float32 __j1f32 (_Float32) throw ();
extern _Float32 jnf32 (int, _Float32) throw (); extern _Float32 __jnf32 (int, _Float32) throw ();
extern _Float32 y0f32 (_Float32) throw (); extern _Float32 __y0f32 (_Float32) throw ();
extern _Float32 y1f32 (_Float32) throw (); extern _Float32 __y1f32 (_Float32) throw ();
extern _Float32 ynf32 (int, _Float32) throw (); extern _Float32 __ynf32 (int, _Float32) throw ();





extern _Float32 erff32 (_Float32) throw (); extern _Float32 __erff32 (_Float32) throw ();
extern _Float32 erfcf32 (_Float32) throw (); extern _Float32 __erfcf32 (_Float32) throw ();
extern _Float32 lgammaf32 (_Float32) throw (); extern _Float32 __lgammaf32 (_Float32) throw ();




extern _Float32 tgammaf32 (_Float32) throw (); extern _Float32 __tgammaf32 (_Float32) throw ();
# 249 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 lgammaf32_r (_Float32, int *__signgamp) throw (); extern _Float32 __lgammaf32_r (_Float32, int *__signgamp) throw ();






extern _Float32 rintf32 (_Float32 __x) throw (); extern _Float32 __rintf32 (_Float32 __x) throw ();


extern _Float32 nextafterf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __nextafterf32 (_Float32 __x, _Float32 __y) throw ();






extern _Float32 nextdownf32 (_Float32 __x) throw (); extern _Float32 __nextdownf32 (_Float32 __x) throw ();

extern _Float32 nextupf32 (_Float32 __x) throw (); extern _Float32 __nextupf32 (_Float32 __x) throw ();



extern _Float32 remainderf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __remainderf32 (_Float32 __x, _Float32 __y) throw ();



extern _Float32 scalbnf32 (_Float32 __x, int __n) throw (); extern _Float32 __scalbnf32 (_Float32 __x, int __n) throw ();



extern int ilogbf32 (_Float32 __x) throw (); extern int __ilogbf32 (_Float32 __x) throw ();




extern long int llogbf32 (_Float32 __x) throw (); extern long int __llogbf32 (_Float32 __x) throw ();




extern _Float32 scalblnf32 (_Float32 __x, long int __n) throw (); extern _Float32 __scalblnf32 (_Float32 __x, long int __n) throw ();



extern _Float32 nearbyintf32 (_Float32 __x) throw (); extern _Float32 __nearbyintf32 (_Float32 __x) throw ();



extern _Float32 roundf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __roundf32 (_Float32 __x) throw () __attribute__ ((__const__));



extern _Float32 truncf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __truncf32 (_Float32 __x) throw () __attribute__ ((__const__));




extern _Float32 remquof32 (_Float32 __x, _Float32 __y, int *__quo) throw (); extern _Float32 __remquof32 (_Float32 __x, _Float32 __y, int *__quo) throw ();






extern long int lrintf32 (_Float32 __x) throw (); extern long int __lrintf32 (_Float32 __x) throw ();
__extension__
extern long long int llrintf32 (_Float32 __x) throw (); extern long long int __llrintf32 (_Float32 __x) throw ();



extern long int lroundf32 (_Float32 __x) throw (); extern long int __lroundf32 (_Float32 __x) throw ();
__extension__
extern long long int llroundf32 (_Float32 __x) throw (); extern long long int __llroundf32 (_Float32 __x) throw ();



extern _Float32 fdimf32 (_Float32 __x, _Float32 __y) throw (); extern _Float32 __fdimf32 (_Float32 __x, _Float32 __y) throw ();


extern _Float32 fmaxf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__)); extern _Float32 __fmaxf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__));


extern _Float32 fminf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__)); extern _Float32 __fminf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__));


extern _Float32 fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) throw (); extern _Float32 __fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) throw ();




extern _Float32 roundevenf32 (_Float32 __x) throw () __attribute__ ((__const__)); extern _Float32 __roundevenf32 (_Float32 __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf32 (_Float32 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf32 (_Float32 __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf32 (_Float32 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf32 (_Float32 __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf32 (_Float32 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf32 (_Float32 __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) throw ()
                               ;


extern _Float32 fmaxmagf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__)); extern _Float32 __fmaxmagf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__));


extern _Float32 fminmagf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__)); extern _Float32 __fminmagf32 (_Float32 __x, _Float32 __y) throw () __attribute__ ((__const__));


extern int totalorderf32 (_Float32 __x, _Float32 __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf32 (_Float32 __x, _Float32 __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef32 (_Float32 *__cx, const _Float32 *__x) throw ();


extern _Float32 getpayloadf32 (const _Float32 *__x) throw (); extern _Float32 __getpayloadf32 (const _Float32 *__x) throw ();


extern int setpayloadf32 (_Float32 *__x, _Float32 __payload) throw ();


extern int setpayloadsigf32 (_Float32 *__x, _Float32 __payload) throw ();
# 390 "/usr/include/math.h" 2 3 4
# 406 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 acosf64 (_Float64 __x) throw (); extern _Float64 __acosf64 (_Float64 __x) throw ();

extern _Float64 asinf64 (_Float64 __x) throw (); extern _Float64 __asinf64 (_Float64 __x) throw ();

extern _Float64 atanf64 (_Float64 __x) throw (); extern _Float64 __atanf64 (_Float64 __x) throw ();

extern _Float64 atan2f64 (_Float64 __y, _Float64 __x) throw (); extern _Float64 __atan2f64 (_Float64 __y, _Float64 __x) throw ();


 extern _Float64 cosf64 (_Float64 __x) throw (); extern _Float64 __cosf64 (_Float64 __x) throw ();

 extern _Float64 sinf64 (_Float64 __x) throw (); extern _Float64 __sinf64 (_Float64 __x) throw ();

extern _Float64 tanf64 (_Float64 __x) throw (); extern _Float64 __tanf64 (_Float64 __x) throw ();




extern _Float64 coshf64 (_Float64 __x) throw (); extern _Float64 __coshf64 (_Float64 __x) throw ();

extern _Float64 sinhf64 (_Float64 __x) throw (); extern _Float64 __sinhf64 (_Float64 __x) throw ();

extern _Float64 tanhf64 (_Float64 __x) throw (); extern _Float64 __tanhf64 (_Float64 __x) throw ();



 extern void sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) throw (); extern void __sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) throw ()
                                                        ;




extern _Float64 acoshf64 (_Float64 __x) throw (); extern _Float64 __acoshf64 (_Float64 __x) throw ();

extern _Float64 asinhf64 (_Float64 __x) throw (); extern _Float64 __asinhf64 (_Float64 __x) throw ();

extern _Float64 atanhf64 (_Float64 __x) throw (); extern _Float64 __atanhf64 (_Float64 __x) throw ();





 extern _Float64 expf64 (_Float64 __x) throw (); extern _Float64 __expf64 (_Float64 __x) throw ();


extern _Float64 frexpf64 (_Float64 __x, int *__exponent) throw (); extern _Float64 __frexpf64 (_Float64 __x, int *__exponent) throw ();


extern _Float64 ldexpf64 (_Float64 __x, int __exponent) throw (); extern _Float64 __ldexpf64 (_Float64 __x, int __exponent) throw ();


 extern _Float64 logf64 (_Float64 __x) throw (); extern _Float64 __logf64 (_Float64 __x) throw ();


extern _Float64 log10f64 (_Float64 __x) throw (); extern _Float64 __log10f64 (_Float64 __x) throw ();


extern _Float64 modff64 (_Float64 __x, _Float64 *__iptr) throw (); extern _Float64 __modff64 (_Float64 __x, _Float64 *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern _Float64 exp10f64 (_Float64 __x) throw (); extern _Float64 __exp10f64 (_Float64 __x) throw ();




extern _Float64 expm1f64 (_Float64 __x) throw (); extern _Float64 __expm1f64 (_Float64 __x) throw ();


extern _Float64 log1pf64 (_Float64 __x) throw (); extern _Float64 __log1pf64 (_Float64 __x) throw ();


extern _Float64 logbf64 (_Float64 __x) throw (); extern _Float64 __logbf64 (_Float64 __x) throw ();




extern _Float64 exp2f64 (_Float64 __x) throw (); extern _Float64 __exp2f64 (_Float64 __x) throw ();


extern _Float64 log2f64 (_Float64 __x) throw (); extern _Float64 __log2f64 (_Float64 __x) throw ();






 extern _Float64 powf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __powf64 (_Float64 __x, _Float64 __y) throw ();


extern _Float64 sqrtf64 (_Float64 __x) throw (); extern _Float64 __sqrtf64 (_Float64 __x) throw ();



extern _Float64 hypotf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __hypotf64 (_Float64 __x, _Float64 __y) throw ();




extern _Float64 cbrtf64 (_Float64 __x) throw (); extern _Float64 __cbrtf64 (_Float64 __x) throw ();






extern _Float64 ceilf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __ceilf64 (_Float64 __x) throw () __attribute__ ((__const__));


extern _Float64 fabsf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __fabsf64 (_Float64 __x) throw () __attribute__ ((__const__));


extern _Float64 floorf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __floorf64 (_Float64 __x) throw () __attribute__ ((__const__));


extern _Float64 fmodf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __fmodf64 (_Float64 __x, _Float64 __y) throw ();
# 196 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 copysignf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__)); extern _Float64 __copysignf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__));




extern _Float64 nanf64 (const char *__tagb) throw () __attribute__ ((__const__)); extern _Float64 __nanf64 (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 j0f64 (_Float64) throw (); extern _Float64 __j0f64 (_Float64) throw ();
extern _Float64 j1f64 (_Float64) throw (); extern _Float64 __j1f64 (_Float64) throw ();
extern _Float64 jnf64 (int, _Float64) throw (); extern _Float64 __jnf64 (int, _Float64) throw ();
extern _Float64 y0f64 (_Float64) throw (); extern _Float64 __y0f64 (_Float64) throw ();
extern _Float64 y1f64 (_Float64) throw (); extern _Float64 __y1f64 (_Float64) throw ();
extern _Float64 ynf64 (int, _Float64) throw (); extern _Float64 __ynf64 (int, _Float64) throw ();





extern _Float64 erff64 (_Float64) throw (); extern _Float64 __erff64 (_Float64) throw ();
extern _Float64 erfcf64 (_Float64) throw (); extern _Float64 __erfcf64 (_Float64) throw ();
extern _Float64 lgammaf64 (_Float64) throw (); extern _Float64 __lgammaf64 (_Float64) throw ();




extern _Float64 tgammaf64 (_Float64) throw (); extern _Float64 __tgammaf64 (_Float64) throw ();
# 249 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 lgammaf64_r (_Float64, int *__signgamp) throw (); extern _Float64 __lgammaf64_r (_Float64, int *__signgamp) throw ();






extern _Float64 rintf64 (_Float64 __x) throw (); extern _Float64 __rintf64 (_Float64 __x) throw ();


extern _Float64 nextafterf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __nextafterf64 (_Float64 __x, _Float64 __y) throw ();






extern _Float64 nextdownf64 (_Float64 __x) throw (); extern _Float64 __nextdownf64 (_Float64 __x) throw ();

extern _Float64 nextupf64 (_Float64 __x) throw (); extern _Float64 __nextupf64 (_Float64 __x) throw ();



extern _Float64 remainderf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __remainderf64 (_Float64 __x, _Float64 __y) throw ();



extern _Float64 scalbnf64 (_Float64 __x, int __n) throw (); extern _Float64 __scalbnf64 (_Float64 __x, int __n) throw ();



extern int ilogbf64 (_Float64 __x) throw (); extern int __ilogbf64 (_Float64 __x) throw ();




extern long int llogbf64 (_Float64 __x) throw (); extern long int __llogbf64 (_Float64 __x) throw ();




extern _Float64 scalblnf64 (_Float64 __x, long int __n) throw (); extern _Float64 __scalblnf64 (_Float64 __x, long int __n) throw ();



extern _Float64 nearbyintf64 (_Float64 __x) throw (); extern _Float64 __nearbyintf64 (_Float64 __x) throw ();



extern _Float64 roundf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __roundf64 (_Float64 __x) throw () __attribute__ ((__const__));



extern _Float64 truncf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __truncf64 (_Float64 __x) throw () __attribute__ ((__const__));




extern _Float64 remquof64 (_Float64 __x, _Float64 __y, int *__quo) throw (); extern _Float64 __remquof64 (_Float64 __x, _Float64 __y, int *__quo) throw ();






extern long int lrintf64 (_Float64 __x) throw (); extern long int __lrintf64 (_Float64 __x) throw ();
__extension__
extern long long int llrintf64 (_Float64 __x) throw (); extern long long int __llrintf64 (_Float64 __x) throw ();



extern long int lroundf64 (_Float64 __x) throw (); extern long int __lroundf64 (_Float64 __x) throw ();
__extension__
extern long long int llroundf64 (_Float64 __x) throw (); extern long long int __llroundf64 (_Float64 __x) throw ();



extern _Float64 fdimf64 (_Float64 __x, _Float64 __y) throw (); extern _Float64 __fdimf64 (_Float64 __x, _Float64 __y) throw ();


extern _Float64 fmaxf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__)); extern _Float64 __fmaxf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__));


extern _Float64 fminf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__)); extern _Float64 __fminf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__));


extern _Float64 fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) throw (); extern _Float64 __fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) throw ();




extern _Float64 roundevenf64 (_Float64 __x) throw () __attribute__ ((__const__)); extern _Float64 __roundevenf64 (_Float64 __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf64 (_Float64 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf64 (_Float64 __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf64 (_Float64 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf64 (_Float64 __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf64 (_Float64 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf64 (_Float64 __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) throw ()
                               ;


extern _Float64 fmaxmagf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__)); extern _Float64 __fmaxmagf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__));


extern _Float64 fminmagf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__)); extern _Float64 __fminmagf64 (_Float64 __x, _Float64 __y) throw () __attribute__ ((__const__));


extern int totalorderf64 (_Float64 __x, _Float64 __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf64 (_Float64 __x, _Float64 __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef64 (_Float64 *__cx, const _Float64 *__x) throw ();


extern _Float64 getpayloadf64 (const _Float64 *__x) throw (); extern _Float64 __getpayloadf64 (const _Float64 *__x) throw ();


extern int setpayloadf64 (_Float64 *__x, _Float64 __payload) throw ();


extern int setpayloadsigf64 (_Float64 *__x, _Float64 __payload) throw ();
# 407 "/usr/include/math.h" 2 3 4
# 420 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyf128 (_Float128 __value) throw ()
     __attribute__ ((__const__));


extern int __signbitf128 (_Float128 __value) throw ()
     __attribute__ ((__const__));



extern int __isinff128 (_Float128 __value) throw () __attribute__ ((__const__));


extern int __finitef128 (_Float128 __value) throw () __attribute__ ((__const__));


extern int __isnanf128 (_Float128 __value) throw () __attribute__ ((__const__));


extern int __iseqsigf128 (_Float128 __x, _Float128 __y) throw ();


extern int __issignalingf128 (_Float128 __value) throw ()
     __attribute__ ((__const__));
# 421 "/usr/include/math.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 acosf128 (_Float128 __x) throw (); extern _Float128 __acosf128 (_Float128 __x) throw ();

extern _Float128 asinf128 (_Float128 __x) throw (); extern _Float128 __asinf128 (_Float128 __x) throw ();

extern _Float128 atanf128 (_Float128 __x) throw (); extern _Float128 __atanf128 (_Float128 __x) throw ();

extern _Float128 atan2f128 (_Float128 __y, _Float128 __x) throw (); extern _Float128 __atan2f128 (_Float128 __y, _Float128 __x) throw ();


 extern _Float128 cosf128 (_Float128 __x) throw (); extern _Float128 __cosf128 (_Float128 __x) throw ();

 extern _Float128 sinf128 (_Float128 __x) throw (); extern _Float128 __sinf128 (_Float128 __x) throw ();

extern _Float128 tanf128 (_Float128 __x) throw (); extern _Float128 __tanf128 (_Float128 __x) throw ();




extern _Float128 coshf128 (_Float128 __x) throw (); extern _Float128 __coshf128 (_Float128 __x) throw ();

extern _Float128 sinhf128 (_Float128 __x) throw (); extern _Float128 __sinhf128 (_Float128 __x) throw ();

extern _Float128 tanhf128 (_Float128 __x) throw (); extern _Float128 __tanhf128 (_Float128 __x) throw ();



 extern void sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) throw (); extern void __sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) throw ()
                                                        ;




extern _Float128 acoshf128 (_Float128 __x) throw (); extern _Float128 __acoshf128 (_Float128 __x) throw ();

extern _Float128 asinhf128 (_Float128 __x) throw (); extern _Float128 __asinhf128 (_Float128 __x) throw ();

extern _Float128 atanhf128 (_Float128 __x) throw (); extern _Float128 __atanhf128 (_Float128 __x) throw ();





 extern _Float128 expf128 (_Float128 __x) throw (); extern _Float128 __expf128 (_Float128 __x) throw ();


extern _Float128 frexpf128 (_Float128 __x, int *__exponent) throw (); extern _Float128 __frexpf128 (_Float128 __x, int *__exponent) throw ();


extern _Float128 ldexpf128 (_Float128 __x, int __exponent) throw (); extern _Float128 __ldexpf128 (_Float128 __x, int __exponent) throw ();


 extern _Float128 logf128 (_Float128 __x) throw (); extern _Float128 __logf128 (_Float128 __x) throw ();


extern _Float128 log10f128 (_Float128 __x) throw (); extern _Float128 __log10f128 (_Float128 __x) throw ();


extern _Float128 modff128 (_Float128 __x, _Float128 *__iptr) throw (); extern _Float128 __modff128 (_Float128 __x, _Float128 *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern _Float128 exp10f128 (_Float128 __x) throw (); extern _Float128 __exp10f128 (_Float128 __x) throw ();




extern _Float128 expm1f128 (_Float128 __x) throw (); extern _Float128 __expm1f128 (_Float128 __x) throw ();


extern _Float128 log1pf128 (_Float128 __x) throw (); extern _Float128 __log1pf128 (_Float128 __x) throw ();


extern _Float128 logbf128 (_Float128 __x) throw (); extern _Float128 __logbf128 (_Float128 __x) throw ();




extern _Float128 exp2f128 (_Float128 __x) throw (); extern _Float128 __exp2f128 (_Float128 __x) throw ();


extern _Float128 log2f128 (_Float128 __x) throw (); extern _Float128 __log2f128 (_Float128 __x) throw ();






 extern _Float128 powf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __powf128 (_Float128 __x, _Float128 __y) throw ();


extern _Float128 sqrtf128 (_Float128 __x) throw (); extern _Float128 __sqrtf128 (_Float128 __x) throw ();



extern _Float128 hypotf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __hypotf128 (_Float128 __x, _Float128 __y) throw ();




extern _Float128 cbrtf128 (_Float128 __x) throw (); extern _Float128 __cbrtf128 (_Float128 __x) throw ();






extern _Float128 ceilf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __ceilf128 (_Float128 __x) throw () __attribute__ ((__const__));


extern _Float128 fabsf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __fabsf128 (_Float128 __x) throw () __attribute__ ((__const__));


extern _Float128 floorf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __floorf128 (_Float128 __x) throw () __attribute__ ((__const__));


extern _Float128 fmodf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __fmodf128 (_Float128 __x, _Float128 __y) throw ();
# 196 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 copysignf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__)); extern _Float128 __copysignf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__));




extern _Float128 nanf128 (const char *__tagb) throw () __attribute__ ((__const__)); extern _Float128 __nanf128 (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 j0f128 (_Float128) throw (); extern _Float128 __j0f128 (_Float128) throw ();
extern _Float128 j1f128 (_Float128) throw (); extern _Float128 __j1f128 (_Float128) throw ();
extern _Float128 jnf128 (int, _Float128) throw (); extern _Float128 __jnf128 (int, _Float128) throw ();
extern _Float128 y0f128 (_Float128) throw (); extern _Float128 __y0f128 (_Float128) throw ();
extern _Float128 y1f128 (_Float128) throw (); extern _Float128 __y1f128 (_Float128) throw ();
extern _Float128 ynf128 (int, _Float128) throw (); extern _Float128 __ynf128 (int, _Float128) throw ();





extern _Float128 erff128 (_Float128) throw (); extern _Float128 __erff128 (_Float128) throw ();
extern _Float128 erfcf128 (_Float128) throw (); extern _Float128 __erfcf128 (_Float128) throw ();
extern _Float128 lgammaf128 (_Float128) throw (); extern _Float128 __lgammaf128 (_Float128) throw ();




extern _Float128 tgammaf128 (_Float128) throw (); extern _Float128 __tgammaf128 (_Float128) throw ();
# 249 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 lgammaf128_r (_Float128, int *__signgamp) throw (); extern _Float128 __lgammaf128_r (_Float128, int *__signgamp) throw ();






extern _Float128 rintf128 (_Float128 __x) throw (); extern _Float128 __rintf128 (_Float128 __x) throw ();


extern _Float128 nextafterf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __nextafterf128 (_Float128 __x, _Float128 __y) throw ();






extern _Float128 nextdownf128 (_Float128 __x) throw (); extern _Float128 __nextdownf128 (_Float128 __x) throw ();

extern _Float128 nextupf128 (_Float128 __x) throw (); extern _Float128 __nextupf128 (_Float128 __x) throw ();



extern _Float128 remainderf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __remainderf128 (_Float128 __x, _Float128 __y) throw ();



extern _Float128 scalbnf128 (_Float128 __x, int __n) throw (); extern _Float128 __scalbnf128 (_Float128 __x, int __n) throw ();



extern int ilogbf128 (_Float128 __x) throw (); extern int __ilogbf128 (_Float128 __x) throw ();




extern long int llogbf128 (_Float128 __x) throw (); extern long int __llogbf128 (_Float128 __x) throw ();




extern _Float128 scalblnf128 (_Float128 __x, long int __n) throw (); extern _Float128 __scalblnf128 (_Float128 __x, long int __n) throw ();



extern _Float128 nearbyintf128 (_Float128 __x) throw (); extern _Float128 __nearbyintf128 (_Float128 __x) throw ();



extern _Float128 roundf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __roundf128 (_Float128 __x) throw () __attribute__ ((__const__));



extern _Float128 truncf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __truncf128 (_Float128 __x) throw () __attribute__ ((__const__));




extern _Float128 remquof128 (_Float128 __x, _Float128 __y, int *__quo) throw (); extern _Float128 __remquof128 (_Float128 __x, _Float128 __y, int *__quo) throw ();






extern long int lrintf128 (_Float128 __x) throw (); extern long int __lrintf128 (_Float128 __x) throw ();
__extension__
extern long long int llrintf128 (_Float128 __x) throw (); extern long long int __llrintf128 (_Float128 __x) throw ();



extern long int lroundf128 (_Float128 __x) throw (); extern long int __lroundf128 (_Float128 __x) throw ();
__extension__
extern long long int llroundf128 (_Float128 __x) throw (); extern long long int __llroundf128 (_Float128 __x) throw ();



extern _Float128 fdimf128 (_Float128 __x, _Float128 __y) throw (); extern _Float128 __fdimf128 (_Float128 __x, _Float128 __y) throw ();


extern _Float128 fmaxf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__)); extern _Float128 __fmaxf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__));


extern _Float128 fminf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__)); extern _Float128 __fminf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__));


extern _Float128 fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) throw (); extern _Float128 __fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) throw ();




extern _Float128 roundevenf128 (_Float128 __x) throw () __attribute__ ((__const__)); extern _Float128 __roundevenf128 (_Float128 __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf128 (_Float128 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf128 (_Float128 __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf128 (_Float128 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf128 (_Float128 __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf128 (_Float128 __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf128 (_Float128 __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) throw ()
                               ;


extern _Float128 fmaxmagf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__)); extern _Float128 __fmaxmagf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__));


extern _Float128 fminmagf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__)); extern _Float128 __fminmagf128 (_Float128 __x, _Float128 __y) throw () __attribute__ ((__const__));


extern int totalorderf128 (_Float128 __x, _Float128 __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf128 (_Float128 __x, _Float128 __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef128 (_Float128 *__cx, const _Float128 *__x) throw ();


extern _Float128 getpayloadf128 (const _Float128 *__x) throw (); extern _Float128 __getpayloadf128 (const _Float128 *__x) throw ();


extern int setpayloadf128 (_Float128 *__x, _Float128 __payload) throw ();


extern int setpayloadsigf128 (_Float128 *__x, _Float128 __payload) throw ();
# 424 "/usr/include/math.h" 2 3 4
# 440 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x acosf32x (_Float32x __x) throw (); extern _Float32x __acosf32x (_Float32x __x) throw ();

extern _Float32x asinf32x (_Float32x __x) throw (); extern _Float32x __asinf32x (_Float32x __x) throw ();

extern _Float32x atanf32x (_Float32x __x) throw (); extern _Float32x __atanf32x (_Float32x __x) throw ();

extern _Float32x atan2f32x (_Float32x __y, _Float32x __x) throw (); extern _Float32x __atan2f32x (_Float32x __y, _Float32x __x) throw ();


 extern _Float32x cosf32x (_Float32x __x) throw (); extern _Float32x __cosf32x (_Float32x __x) throw ();

 extern _Float32x sinf32x (_Float32x __x) throw (); extern _Float32x __sinf32x (_Float32x __x) throw ();

extern _Float32x tanf32x (_Float32x __x) throw (); extern _Float32x __tanf32x (_Float32x __x) throw ();




extern _Float32x coshf32x (_Float32x __x) throw (); extern _Float32x __coshf32x (_Float32x __x) throw ();

extern _Float32x sinhf32x (_Float32x __x) throw (); extern _Float32x __sinhf32x (_Float32x __x) throw ();

extern _Float32x tanhf32x (_Float32x __x) throw (); extern _Float32x __tanhf32x (_Float32x __x) throw ();



 extern void sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) throw (); extern void __sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) throw ()
                                                        ;




extern _Float32x acoshf32x (_Float32x __x) throw (); extern _Float32x __acoshf32x (_Float32x __x) throw ();

extern _Float32x asinhf32x (_Float32x __x) throw (); extern _Float32x __asinhf32x (_Float32x __x) throw ();

extern _Float32x atanhf32x (_Float32x __x) throw (); extern _Float32x __atanhf32x (_Float32x __x) throw ();





 extern _Float32x expf32x (_Float32x __x) throw (); extern _Float32x __expf32x (_Float32x __x) throw ();


extern _Float32x frexpf32x (_Float32x __x, int *__exponent) throw (); extern _Float32x __frexpf32x (_Float32x __x, int *__exponent) throw ();


extern _Float32x ldexpf32x (_Float32x __x, int __exponent) throw (); extern _Float32x __ldexpf32x (_Float32x __x, int __exponent) throw ();


 extern _Float32x logf32x (_Float32x __x) throw (); extern _Float32x __logf32x (_Float32x __x) throw ();


extern _Float32x log10f32x (_Float32x __x) throw (); extern _Float32x __log10f32x (_Float32x __x) throw ();


extern _Float32x modff32x (_Float32x __x, _Float32x *__iptr) throw (); extern _Float32x __modff32x (_Float32x __x, _Float32x *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern _Float32x exp10f32x (_Float32x __x) throw (); extern _Float32x __exp10f32x (_Float32x __x) throw ();




extern _Float32x expm1f32x (_Float32x __x) throw (); extern _Float32x __expm1f32x (_Float32x __x) throw ();


extern _Float32x log1pf32x (_Float32x __x) throw (); extern _Float32x __log1pf32x (_Float32x __x) throw ();


extern _Float32x logbf32x (_Float32x __x) throw (); extern _Float32x __logbf32x (_Float32x __x) throw ();




extern _Float32x exp2f32x (_Float32x __x) throw (); extern _Float32x __exp2f32x (_Float32x __x) throw ();


extern _Float32x log2f32x (_Float32x __x) throw (); extern _Float32x __log2f32x (_Float32x __x) throw ();






 extern _Float32x powf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __powf32x (_Float32x __x, _Float32x __y) throw ();


extern _Float32x sqrtf32x (_Float32x __x) throw (); extern _Float32x __sqrtf32x (_Float32x __x) throw ();



extern _Float32x hypotf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __hypotf32x (_Float32x __x, _Float32x __y) throw ();




extern _Float32x cbrtf32x (_Float32x __x) throw (); extern _Float32x __cbrtf32x (_Float32x __x) throw ();






extern _Float32x ceilf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __ceilf32x (_Float32x __x) throw () __attribute__ ((__const__));


extern _Float32x fabsf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __fabsf32x (_Float32x __x) throw () __attribute__ ((__const__));


extern _Float32x floorf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __floorf32x (_Float32x __x) throw () __attribute__ ((__const__));


extern _Float32x fmodf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __fmodf32x (_Float32x __x, _Float32x __y) throw ();
# 196 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x copysignf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__)); extern _Float32x __copysignf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__));




extern _Float32x nanf32x (const char *__tagb) throw () __attribute__ ((__const__)); extern _Float32x __nanf32x (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x j0f32x (_Float32x) throw (); extern _Float32x __j0f32x (_Float32x) throw ();
extern _Float32x j1f32x (_Float32x) throw (); extern _Float32x __j1f32x (_Float32x) throw ();
extern _Float32x jnf32x (int, _Float32x) throw (); extern _Float32x __jnf32x (int, _Float32x) throw ();
extern _Float32x y0f32x (_Float32x) throw (); extern _Float32x __y0f32x (_Float32x) throw ();
extern _Float32x y1f32x (_Float32x) throw (); extern _Float32x __y1f32x (_Float32x) throw ();
extern _Float32x ynf32x (int, _Float32x) throw (); extern _Float32x __ynf32x (int, _Float32x) throw ();





extern _Float32x erff32x (_Float32x) throw (); extern _Float32x __erff32x (_Float32x) throw ();
extern _Float32x erfcf32x (_Float32x) throw (); extern _Float32x __erfcf32x (_Float32x) throw ();
extern _Float32x lgammaf32x (_Float32x) throw (); extern _Float32x __lgammaf32x (_Float32x) throw ();




extern _Float32x tgammaf32x (_Float32x) throw (); extern _Float32x __tgammaf32x (_Float32x) throw ();
# 249 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x lgammaf32x_r (_Float32x, int *__signgamp) throw (); extern _Float32x __lgammaf32x_r (_Float32x, int *__signgamp) throw ();






extern _Float32x rintf32x (_Float32x __x) throw (); extern _Float32x __rintf32x (_Float32x __x) throw ();


extern _Float32x nextafterf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __nextafterf32x (_Float32x __x, _Float32x __y) throw ();






extern _Float32x nextdownf32x (_Float32x __x) throw (); extern _Float32x __nextdownf32x (_Float32x __x) throw ();

extern _Float32x nextupf32x (_Float32x __x) throw (); extern _Float32x __nextupf32x (_Float32x __x) throw ();



extern _Float32x remainderf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __remainderf32x (_Float32x __x, _Float32x __y) throw ();



extern _Float32x scalbnf32x (_Float32x __x, int __n) throw (); extern _Float32x __scalbnf32x (_Float32x __x, int __n) throw ();



extern int ilogbf32x (_Float32x __x) throw (); extern int __ilogbf32x (_Float32x __x) throw ();




extern long int llogbf32x (_Float32x __x) throw (); extern long int __llogbf32x (_Float32x __x) throw ();




extern _Float32x scalblnf32x (_Float32x __x, long int __n) throw (); extern _Float32x __scalblnf32x (_Float32x __x, long int __n) throw ();



extern _Float32x nearbyintf32x (_Float32x __x) throw (); extern _Float32x __nearbyintf32x (_Float32x __x) throw ();



extern _Float32x roundf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __roundf32x (_Float32x __x) throw () __attribute__ ((__const__));



extern _Float32x truncf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __truncf32x (_Float32x __x) throw () __attribute__ ((__const__));




extern _Float32x remquof32x (_Float32x __x, _Float32x __y, int *__quo) throw (); extern _Float32x __remquof32x (_Float32x __x, _Float32x __y, int *__quo) throw ();






extern long int lrintf32x (_Float32x __x) throw (); extern long int __lrintf32x (_Float32x __x) throw ();
__extension__
extern long long int llrintf32x (_Float32x __x) throw (); extern long long int __llrintf32x (_Float32x __x) throw ();



extern long int lroundf32x (_Float32x __x) throw (); extern long int __lroundf32x (_Float32x __x) throw ();
__extension__
extern long long int llroundf32x (_Float32x __x) throw (); extern long long int __llroundf32x (_Float32x __x) throw ();



extern _Float32x fdimf32x (_Float32x __x, _Float32x __y) throw (); extern _Float32x __fdimf32x (_Float32x __x, _Float32x __y) throw ();


extern _Float32x fmaxf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__)); extern _Float32x __fmaxf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__));


extern _Float32x fminf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__)); extern _Float32x __fminf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__));


extern _Float32x fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) throw (); extern _Float32x __fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) throw ();




extern _Float32x roundevenf32x (_Float32x __x) throw () __attribute__ ((__const__)); extern _Float32x __roundevenf32x (_Float32x __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf32x (_Float32x __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf32x (_Float32x __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf32x (_Float32x __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf32x (_Float32x __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf32x (_Float32x __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf32x (_Float32x __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) throw ()
                               ;


extern _Float32x fmaxmagf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__)); extern _Float32x __fmaxmagf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__));


extern _Float32x fminmagf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__)); extern _Float32x __fminmagf32x (_Float32x __x, _Float32x __y) throw () __attribute__ ((__const__));


extern int totalorderf32x (_Float32x __x, _Float32x __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf32x (_Float32x __x, _Float32x __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef32x (_Float32x *__cx, const _Float32x *__x) throw ();


extern _Float32x getpayloadf32x (const _Float32x *__x) throw (); extern _Float32x __getpayloadf32x (const _Float32x *__x) throw ();


extern int setpayloadf32x (_Float32x *__x, _Float32x __payload) throw ();


extern int setpayloadsigf32x (_Float32x *__x, _Float32x __payload) throw ();
# 441 "/usr/include/math.h" 2 3 4
# 457 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x acosf64x (_Float64x __x) throw (); extern _Float64x __acosf64x (_Float64x __x) throw ();

extern _Float64x asinf64x (_Float64x __x) throw (); extern _Float64x __asinf64x (_Float64x __x) throw ();

extern _Float64x atanf64x (_Float64x __x) throw (); extern _Float64x __atanf64x (_Float64x __x) throw ();

extern _Float64x atan2f64x (_Float64x __y, _Float64x __x) throw (); extern _Float64x __atan2f64x (_Float64x __y, _Float64x __x) throw ();


 extern _Float64x cosf64x (_Float64x __x) throw (); extern _Float64x __cosf64x (_Float64x __x) throw ();

 extern _Float64x sinf64x (_Float64x __x) throw (); extern _Float64x __sinf64x (_Float64x __x) throw ();

extern _Float64x tanf64x (_Float64x __x) throw (); extern _Float64x __tanf64x (_Float64x __x) throw ();




extern _Float64x coshf64x (_Float64x __x) throw (); extern _Float64x __coshf64x (_Float64x __x) throw ();

extern _Float64x sinhf64x (_Float64x __x) throw (); extern _Float64x __sinhf64x (_Float64x __x) throw ();

extern _Float64x tanhf64x (_Float64x __x) throw (); extern _Float64x __tanhf64x (_Float64x __x) throw ();



 extern void sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) throw (); extern void __sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) throw ()
                                                        ;




extern _Float64x acoshf64x (_Float64x __x) throw (); extern _Float64x __acoshf64x (_Float64x __x) throw ();

extern _Float64x asinhf64x (_Float64x __x) throw (); extern _Float64x __asinhf64x (_Float64x __x) throw ();

extern _Float64x atanhf64x (_Float64x __x) throw (); extern _Float64x __atanhf64x (_Float64x __x) throw ();





 extern _Float64x expf64x (_Float64x __x) throw (); extern _Float64x __expf64x (_Float64x __x) throw ();


extern _Float64x frexpf64x (_Float64x __x, int *__exponent) throw (); extern _Float64x __frexpf64x (_Float64x __x, int *__exponent) throw ();


extern _Float64x ldexpf64x (_Float64x __x, int __exponent) throw (); extern _Float64x __ldexpf64x (_Float64x __x, int __exponent) throw ();


 extern _Float64x logf64x (_Float64x __x) throw (); extern _Float64x __logf64x (_Float64x __x) throw ();


extern _Float64x log10f64x (_Float64x __x) throw (); extern _Float64x __log10f64x (_Float64x __x) throw ();


extern _Float64x modff64x (_Float64x __x, _Float64x *__iptr) throw (); extern _Float64x __modff64x (_Float64x __x, _Float64x *__iptr) throw () __attribute__ ((__nonnull__ (2)));



extern _Float64x exp10f64x (_Float64x __x) throw (); extern _Float64x __exp10f64x (_Float64x __x) throw ();




extern _Float64x expm1f64x (_Float64x __x) throw (); extern _Float64x __expm1f64x (_Float64x __x) throw ();


extern _Float64x log1pf64x (_Float64x __x) throw (); extern _Float64x __log1pf64x (_Float64x __x) throw ();


extern _Float64x logbf64x (_Float64x __x) throw (); extern _Float64x __logbf64x (_Float64x __x) throw ();




extern _Float64x exp2f64x (_Float64x __x) throw (); extern _Float64x __exp2f64x (_Float64x __x) throw ();


extern _Float64x log2f64x (_Float64x __x) throw (); extern _Float64x __log2f64x (_Float64x __x) throw ();






 extern _Float64x powf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __powf64x (_Float64x __x, _Float64x __y) throw ();


extern _Float64x sqrtf64x (_Float64x __x) throw (); extern _Float64x __sqrtf64x (_Float64x __x) throw ();



extern _Float64x hypotf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __hypotf64x (_Float64x __x, _Float64x __y) throw ();




extern _Float64x cbrtf64x (_Float64x __x) throw (); extern _Float64x __cbrtf64x (_Float64x __x) throw ();






extern _Float64x ceilf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __ceilf64x (_Float64x __x) throw () __attribute__ ((__const__));


extern _Float64x fabsf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __fabsf64x (_Float64x __x) throw () __attribute__ ((__const__));


extern _Float64x floorf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __floorf64x (_Float64x __x) throw () __attribute__ ((__const__));


extern _Float64x fmodf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __fmodf64x (_Float64x __x, _Float64x __y) throw ();
# 196 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x copysignf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__)); extern _Float64x __copysignf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__));




extern _Float64x nanf64x (const char *__tagb) throw () __attribute__ ((__const__)); extern _Float64x __nanf64x (const char *__tagb) throw () __attribute__ ((__const__));
# 217 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x j0f64x (_Float64x) throw (); extern _Float64x __j0f64x (_Float64x) throw ();
extern _Float64x j1f64x (_Float64x) throw (); extern _Float64x __j1f64x (_Float64x) throw ();
extern _Float64x jnf64x (int, _Float64x) throw (); extern _Float64x __jnf64x (int, _Float64x) throw ();
extern _Float64x y0f64x (_Float64x) throw (); extern _Float64x __y0f64x (_Float64x) throw ();
extern _Float64x y1f64x (_Float64x) throw (); extern _Float64x __y1f64x (_Float64x) throw ();
extern _Float64x ynf64x (int, _Float64x) throw (); extern _Float64x __ynf64x (int, _Float64x) throw ();





extern _Float64x erff64x (_Float64x) throw (); extern _Float64x __erff64x (_Float64x) throw ();
extern _Float64x erfcf64x (_Float64x) throw (); extern _Float64x __erfcf64x (_Float64x) throw ();
extern _Float64x lgammaf64x (_Float64x) throw (); extern _Float64x __lgammaf64x (_Float64x) throw ();




extern _Float64x tgammaf64x (_Float64x) throw (); extern _Float64x __tgammaf64x (_Float64x) throw ();
# 249 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x lgammaf64x_r (_Float64x, int *__signgamp) throw (); extern _Float64x __lgammaf64x_r (_Float64x, int *__signgamp) throw ();






extern _Float64x rintf64x (_Float64x __x) throw (); extern _Float64x __rintf64x (_Float64x __x) throw ();


extern _Float64x nextafterf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __nextafterf64x (_Float64x __x, _Float64x __y) throw ();






extern _Float64x nextdownf64x (_Float64x __x) throw (); extern _Float64x __nextdownf64x (_Float64x __x) throw ();

extern _Float64x nextupf64x (_Float64x __x) throw (); extern _Float64x __nextupf64x (_Float64x __x) throw ();



extern _Float64x remainderf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __remainderf64x (_Float64x __x, _Float64x __y) throw ();



extern _Float64x scalbnf64x (_Float64x __x, int __n) throw (); extern _Float64x __scalbnf64x (_Float64x __x, int __n) throw ();



extern int ilogbf64x (_Float64x __x) throw (); extern int __ilogbf64x (_Float64x __x) throw ();




extern long int llogbf64x (_Float64x __x) throw (); extern long int __llogbf64x (_Float64x __x) throw ();




extern _Float64x scalblnf64x (_Float64x __x, long int __n) throw (); extern _Float64x __scalblnf64x (_Float64x __x, long int __n) throw ();



extern _Float64x nearbyintf64x (_Float64x __x) throw (); extern _Float64x __nearbyintf64x (_Float64x __x) throw ();



extern _Float64x roundf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __roundf64x (_Float64x __x) throw () __attribute__ ((__const__));



extern _Float64x truncf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __truncf64x (_Float64x __x) throw () __attribute__ ((__const__));




extern _Float64x remquof64x (_Float64x __x, _Float64x __y, int *__quo) throw (); extern _Float64x __remquof64x (_Float64x __x, _Float64x __y, int *__quo) throw ();






extern long int lrintf64x (_Float64x __x) throw (); extern long int __lrintf64x (_Float64x __x) throw ();
__extension__
extern long long int llrintf64x (_Float64x __x) throw (); extern long long int __llrintf64x (_Float64x __x) throw ();



extern long int lroundf64x (_Float64x __x) throw (); extern long int __lroundf64x (_Float64x __x) throw ();
__extension__
extern long long int llroundf64x (_Float64x __x) throw (); extern long long int __llroundf64x (_Float64x __x) throw ();



extern _Float64x fdimf64x (_Float64x __x, _Float64x __y) throw (); extern _Float64x __fdimf64x (_Float64x __x, _Float64x __y) throw ();


extern _Float64x fmaxf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__)); extern _Float64x __fmaxf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__));


extern _Float64x fminf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__)); extern _Float64x __fminf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__));


extern _Float64x fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) throw (); extern _Float64x __fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) throw ();




extern _Float64x roundevenf64x (_Float64x __x) throw () __attribute__ ((__const__)); extern _Float64x __roundevenf64x (_Float64x __x) throw () __attribute__ ((__const__));



extern __intmax_t fromfpf64x (_Float64x __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpf64x (_Float64x __x, int __round, unsigned int __width) throw ()
                            ;



extern __uintmax_t ufromfpf64x (_Float64x __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpf64x (_Float64x __x, int __round, unsigned int __width) throw ()
                              ;




extern __intmax_t fromfpxf64x (_Float64x __x, int __round, unsigned int __width) throw (); extern __intmax_t __fromfpxf64x (_Float64x __x, int __round, unsigned int __width) throw ()
                             ;




extern __uintmax_t ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) throw (); extern __uintmax_t __ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) throw ()
                               ;


extern _Float64x fmaxmagf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__)); extern _Float64x __fmaxmagf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__));


extern _Float64x fminmagf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__)); extern _Float64x __fminmagf64x (_Float64x __x, _Float64x __y) throw () __attribute__ ((__const__));


extern int totalorderf64x (_Float64x __x, _Float64x __y) throw ()
     __attribute__ ((__const__));


extern int totalordermagf64x (_Float64x __x, _Float64x __y) throw ()
     __attribute__ ((__const__));


extern int canonicalizef64x (_Float64x *__cx, const _Float64x *__x) throw ();


extern _Float64x getpayloadf64x (const _Float64x *__x) throw (); extern _Float64x __getpayloadf64x (const _Float64x *__x) throw ();


extern int setpayloadf64x (_Float64x *__x, _Float64x __payload) throw ();


extern int setpayloadsigf64x (_Float64x *__x, _Float64x __payload) throw ();
# 458 "/usr/include/math.h" 2 3 4
# 489 "/usr/include/math.h" 3 4
extern int signgam;
# 569 "/usr/include/math.h" 3 4
enum
  {
    FP_NAN =

      0,
    FP_INFINITE =

      1,
    FP_ZERO =

      2,
    FP_SUBNORMAL =

      3,
    FP_NORMAL =

      4
  };
# 684 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 3 4
extern int __iscanonicall (long double __x)
     throw () __attribute__ ((__const__));
# 46 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 3 4
extern "C++" {
inline int iscanonical (float __val) { return ((void) (__typeof (__val)) (__val), 1); }
inline int iscanonical (double __val) { return ((void) (__typeof (__val)) (__val), 1); }
inline int iscanonical (long double __val) { return __iscanonicall (__val); }

inline int iscanonical (_Float128 __val) { return ((void) (__typeof (__val)) (__val), 1); }

}
# 685 "/usr/include/math.h" 2 3 4
# 696 "/usr/include/math.h" 3 4
extern "C++" {
inline int issignaling (float __val) { return __issignalingf (__val); }
inline int issignaling (double __val) { return __issignaling (__val); }
inline int
issignaling (long double __val)
{



  return __issignalingl (__val);

}

inline int issignaling (_Float128 __val) { return __issignalingf128 (__val); }

}
# 725 "/usr/include/math.h" 3 4
extern "C++" {
# 754 "/usr/include/math.h" 3 4
template <class __T> inline bool
iszero (__T __val)
{
  return __val == 0;
}

}
# 1205 "/usr/include/math.h" 3 4
extern "C++" {
template<typename> struct __iseqsig_type;

template<> struct __iseqsig_type<float>
{
  static int __call (float __x, float __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};

template<> struct __iseqsig_type<double>
{
  static int __call (double __x, double __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};

template<> struct __iseqsig_type<long double>
{
  static int __call (double __x, double __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};


template<> struct __iseqsig_type<_Float128>
{
  static int __call (_Float128 __x, _Float128 __y) throw ()
  {
    return __iseqsigf128 (__x, __y);
  }
};


template<typename _T1, typename _T2>
inline int
iseqsig (_T1 __x, _T2 __y) throw ()
{

  typedef decltype (((__x) + (__y) + 0.0f)) _T3;



  return __iseqsig_type<_T3>::__call (__x, __y);
}

}




}
# 46 "/opt/sutton/include/c++/9.0.0/cmath" 2 3
# 77 "/opt/sutton/include/c++/9.0.0/cmath" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::acos;


  inline constexpr float
  acos(float __x)
  { return __builtin_acosf(__x); }

  inline constexpr long double
  acos(long double __x)
  { return __builtin_acosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    acos(_Tp __x)
    { return __builtin_acos(__x); }

  using ::asin;


  inline constexpr float
  asin(float __x)
  { return __builtin_asinf(__x); }

  inline constexpr long double
  asin(long double __x)
  { return __builtin_asinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    asin(_Tp __x)
    { return __builtin_asin(__x); }

  using ::atan;


  inline constexpr float
  atan(float __x)
  { return __builtin_atanf(__x); }

  inline constexpr long double
  atan(long double __x)
  { return __builtin_atanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    atan(_Tp __x)
    { return __builtin_atan(__x); }

  using ::atan2;


  inline constexpr float
  atan2(float __y, float __x)
  { return __builtin_atan2f(__y, __x); }

  inline constexpr long double
  atan2(long double __y, long double __x)
  { return __builtin_atan2l(__y, __x); }


  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    atan2(_Tp __y, _Up __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return atan2(__type(__y), __type(__x));
    }

  using ::ceil;


  inline constexpr float
  ceil(float __x)
  { return __builtin_ceilf(__x); }

  inline constexpr long double
  ceil(long double __x)
  { return __builtin_ceill(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ceil(_Tp __x)
    { return __builtin_ceil(__x); }

  using ::cos;


  inline constexpr float
  cos(float __x)
  { return __builtin_cosf(__x); }

  inline constexpr long double
  cos(long double __x)
  { return __builtin_cosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cos(_Tp __x)
    { return __builtin_cos(__x); }

  using ::cosh;


  inline constexpr float
  cosh(float __x)
  { return __builtin_coshf(__x); }

  inline constexpr long double
  cosh(long double __x)
  { return __builtin_coshl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cosh(_Tp __x)
    { return __builtin_cosh(__x); }

  using ::exp;


  inline constexpr float
  exp(float __x)
  { return __builtin_expf(__x); }

  inline constexpr long double
  exp(long double __x)
  { return __builtin_expl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    exp(_Tp __x)
    { return __builtin_exp(__x); }

  using ::fabs;


  inline constexpr float
  fabs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  fabs(long double __x)
  { return __builtin_fabsl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    fabs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::floor;


  inline constexpr float
  floor(float __x)
  { return __builtin_floorf(__x); }

  inline constexpr long double
  floor(long double __x)
  { return __builtin_floorl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    floor(_Tp __x)
    { return __builtin_floor(__x); }

  using ::fmod;


  inline constexpr float
  fmod(float __x, float __y)
  { return __builtin_fmodf(__x, __y); }

  inline constexpr long double
  fmod(long double __x, long double __y)
  { return __builtin_fmodl(__x, __y); }


  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmod(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmod(__type(__x), __type(__y));
    }

  using ::frexp;


  inline float
  frexp(float __x, int* __exp)
  { return __builtin_frexpf(__x, __exp); }

  inline long double
  frexp(long double __x, int* __exp)
  { return __builtin_frexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    frexp(_Tp __x, int* __exp)
    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;


  inline constexpr float
  ldexp(float __x, int __exp)
  { return __builtin_ldexpf(__x, __exp); }

  inline constexpr long double
  ldexp(long double __x, int __exp)
  { return __builtin_ldexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ldexp(_Tp __x, int __exp)
    { return __builtin_ldexp(__x, __exp); }

  using ::log;


  inline constexpr float
  log(float __x)
  { return __builtin_logf(__x); }

  inline constexpr long double
  log(long double __x)
  { return __builtin_logl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log(_Tp __x)
    { return __builtin_log(__x); }

  using ::log10;


  inline constexpr float
  log10(float __x)
  { return __builtin_log10f(__x); }

  inline constexpr long double
  log10(long double __x)
  { return __builtin_log10l(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log10(_Tp __x)
    { return __builtin_log10(__x); }

  using ::modf;


  inline float
  modf(float __x, float* __iptr)
  { return __builtin_modff(__x, __iptr); }

  inline long double
  modf(long double __x, long double* __iptr)
  { return __builtin_modfl(__x, __iptr); }


  using ::pow;


  inline constexpr float
  pow(float __x, float __y)
  { return __builtin_powf(__x, __y); }

  inline constexpr long double
  pow(long double __x, long double __y)
  { return __builtin_powl(__x, __y); }
# 412 "/opt/sutton/include/c++/9.0.0/cmath" 3
  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    pow(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return pow(__type(__x), __type(__y));
    }

  using ::sin;


  inline constexpr float
  sin(float __x)
  { return __builtin_sinf(__x); }

  inline constexpr long double
  sin(long double __x)
  { return __builtin_sinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sin(_Tp __x)
    { return __builtin_sin(__x); }

  using ::sinh;


  inline constexpr float
  sinh(float __x)
  { return __builtin_sinhf(__x); }

  inline constexpr long double
  sinh(long double __x)
  { return __builtin_sinhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sinh(_Tp __x)
    { return __builtin_sinh(__x); }

  using ::sqrt;


  inline constexpr float
  sqrt(float __x)
  { return __builtin_sqrtf(__x); }

  inline constexpr long double
  sqrt(long double __x)
  { return __builtin_sqrtl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sqrt(_Tp __x)
    { return __builtin_sqrt(__x); }

  using ::tan;


  inline constexpr float
  tan(float __x)
  { return __builtin_tanf(__x); }

  inline constexpr long double
  tan(long double __x)
  { return __builtin_tanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tan(_Tp __x)
    { return __builtin_tan(__x); }

  using ::tanh;


  inline constexpr float
  tanh(float __x)
  { return __builtin_tanhf(__x); }

  inline constexpr long double
  tanh(long double __x)
  { return __builtin_tanhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tanh(_Tp __x)
    { return __builtin_tanh(__x); }
# 536 "/opt/sutton/include/c++/9.0.0/cmath" 3
  constexpr int
  fpclassify(float __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(long double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              int>::__type
    fpclassify(_Tp __x)
    { return __x != 0 ? 4 : 2; }



  constexpr bool
  isfinite(float __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(double __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(long double __x)
  { return __builtin_isfinite(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isfinite(_Tp __x)
    { return true; }



  constexpr bool
  isinf(float __x)
  { return __builtin_isinf(__x); }





  constexpr bool
  isinf(double __x)
  { return __builtin_isinf(__x); }


  constexpr bool
  isinf(long double __x)
  { return __builtin_isinf(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isinf(_Tp __x)
    { return false; }



  constexpr bool
  isnan(float __x)
  { return __builtin_isnan(__x); }





  constexpr bool
  isnan(double __x)
  { return __builtin_isnan(__x); }


  constexpr bool
  isnan(long double __x)
  { return __builtin_isnan(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnan(_Tp __x)
    { return false; }



  constexpr bool
  isnormal(float __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(double __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(long double __x)
  { return __builtin_isnormal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnormal(_Tp __x)
    { return __x != 0 ? true : false; }




  constexpr bool
  signbit(float __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(double __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(long double __x)
  { return __builtin_signbit(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    signbit(_Tp __x)
    { return __x < 0 ? true : false; }



  constexpr bool
  isgreater(float __x, float __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(double __x, double __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(long double __x, long double __y)
  { return __builtin_isgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isgreaterequal(float __x, float __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(double __x, double __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(long double __x, long double __y)
  { return __builtin_isgreaterequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreaterequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreaterequal(__type(__x), __type(__y));
    }



  constexpr bool
  isless(float __x, float __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(double __x, double __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(long double __x, long double __y)
  { return __builtin_isless(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isless(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isless(__type(__x), __type(__y));
    }



  constexpr bool
  islessequal(float __x, float __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(double __x, double __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(long double __x, long double __y)
  { return __builtin_islessequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessequal(__type(__x), __type(__y));
    }



  constexpr bool
  islessgreater(float __x, float __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(double __x, double __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(long double __x, long double __y)
  { return __builtin_islessgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isunordered(float __x, float __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(double __x, double __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(long double __x, long double __y)
  { return __builtin_isunordered(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isunordered(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isunordered(__type(__x), __type(__y));
    }
# 1065 "/opt/sutton/include/c++/9.0.0/cmath" 3
  using ::double_t;
  using ::float_t;


  using ::acosh;
  using ::acoshf;
  using ::acoshl;

  using ::asinh;
  using ::asinhf;
  using ::asinhl;

  using ::atanh;
  using ::atanhf;
  using ::atanhl;

  using ::cbrt;
  using ::cbrtf;
  using ::cbrtl;

  using ::copysign;
  using ::copysignf;
  using ::copysignl;

  using ::erf;
  using ::erff;
  using ::erfl;

  using ::erfc;
  using ::erfcf;
  using ::erfcl;

  using ::exp2;
  using ::exp2f;
  using ::exp2l;

  using ::expm1;
  using ::expm1f;
  using ::expm1l;

  using ::fdim;
  using ::fdimf;
  using ::fdiml;

  using ::fma;
  using ::fmaf;
  using ::fmal;

  using ::fmax;
  using ::fmaxf;
  using ::fmaxl;

  using ::fmin;
  using ::fminf;
  using ::fminl;

  using ::hypot;
  using ::hypotf;
  using ::hypotl;

  using ::ilogb;
  using ::ilogbf;
  using ::ilogbl;

  using ::lgamma;
  using ::lgammaf;
  using ::lgammal;


  using ::llrint;
  using ::llrintf;
  using ::llrintl;

  using ::llround;
  using ::llroundf;
  using ::llroundl;


  using ::log1p;
  using ::log1pf;
  using ::log1pl;

  using ::log2;
  using ::log2f;
  using ::log2l;

  using ::logb;
  using ::logbf;
  using ::logbl;

  using ::lrint;
  using ::lrintf;
  using ::lrintl;

  using ::lround;
  using ::lroundf;
  using ::lroundl;

  using ::nan;
  using ::nanf;
  using ::nanl;

  using ::nearbyint;
  using ::nearbyintf;
  using ::nearbyintl;

  using ::nextafter;
  using ::nextafterf;
  using ::nextafterl;

  using ::nexttoward;
  using ::nexttowardf;
  using ::nexttowardl;

  using ::remainder;
  using ::remainderf;
  using ::remainderl;

  using ::remquo;
  using ::remquof;
  using ::remquol;

  using ::rint;
  using ::rintf;
  using ::rintl;

  using ::round;
  using ::roundf;
  using ::roundl;

  using ::scalbln;
  using ::scalblnf;
  using ::scalblnl;

  using ::scalbn;
  using ::scalbnf;
  using ::scalbnl;

  using ::tgamma;
  using ::tgammaf;
  using ::tgammal;

  using ::trunc;
  using ::truncf;
  using ::truncl;



  constexpr float
  acosh(float __x)
  { return __builtin_acoshf(__x); }

  constexpr long double
  acosh(long double __x)
  { return __builtin_acoshl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    acosh(_Tp __x)
    { return __builtin_acosh(__x); }



  constexpr float
  asinh(float __x)
  { return __builtin_asinhf(__x); }

  constexpr long double
  asinh(long double __x)
  { return __builtin_asinhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    asinh(_Tp __x)
    { return __builtin_asinh(__x); }



  constexpr float
  atanh(float __x)
  { return __builtin_atanhf(__x); }

  constexpr long double
  atanh(long double __x)
  { return __builtin_atanhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    atanh(_Tp __x)
    { return __builtin_atanh(__x); }



  constexpr float
  cbrt(float __x)
  { return __builtin_cbrtf(__x); }

  constexpr long double
  cbrt(long double __x)
  { return __builtin_cbrtl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    cbrt(_Tp __x)
    { return __builtin_cbrt(__x); }



  constexpr float
  copysign(float __x, float __y)
  { return __builtin_copysignf(__x, __y); }

  constexpr long double
  copysign(long double __x, long double __y)
  { return __builtin_copysignl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    copysign(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return copysign(__type(__x), __type(__y));
    }



  constexpr float
  erf(float __x)
  { return __builtin_erff(__x); }

  constexpr long double
  erf(long double __x)
  { return __builtin_erfl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erf(_Tp __x)
    { return __builtin_erf(__x); }



  constexpr float
  erfc(float __x)
  { return __builtin_erfcf(__x); }

  constexpr long double
  erfc(long double __x)
  { return __builtin_erfcl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erfc(_Tp __x)
    { return __builtin_erfc(__x); }



  constexpr float
  exp2(float __x)
  { return __builtin_exp2f(__x); }

  constexpr long double
  exp2(long double __x)
  { return __builtin_exp2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    exp2(_Tp __x)
    { return __builtin_exp2(__x); }



  constexpr float
  expm1(float __x)
  { return __builtin_expm1f(__x); }

  constexpr long double
  expm1(long double __x)
  { return __builtin_expm1l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    expm1(_Tp __x)
    { return __builtin_expm1(__x); }



  constexpr float
  fdim(float __x, float __y)
  { return __builtin_fdimf(__x, __y); }

  constexpr long double
  fdim(long double __x, long double __y)
  { return __builtin_fdiml(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fdim(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fdim(__type(__x), __type(__y));
    }



  constexpr float
  fma(float __x, float __y, float __z)
  { return __builtin_fmaf(__x, __y, __z); }

  constexpr long double
  fma(long double __x, long double __y, long double __z)
  { return __builtin_fmal(__x, __y, __z); }



  template<typename _Tp, typename _Up, typename _Vp>
    constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    fma(_Tp __x, _Up __y, _Vp __z)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
      return fma(__type(__x), __type(__y), __type(__z));
    }



  constexpr float
  fmax(float __x, float __y)
  { return __builtin_fmaxf(__x, __y); }

  constexpr long double
  fmax(long double __x, long double __y)
  { return __builtin_fmaxl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmax(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmax(__type(__x), __type(__y));
    }



  constexpr float
  fmin(float __x, float __y)
  { return __builtin_fminf(__x, __y); }

  constexpr long double
  fmin(long double __x, long double __y)
  { return __builtin_fminl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmin(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmin(__type(__x), __type(__y));
    }



  constexpr float
  hypot(float __x, float __y)
  { return __builtin_hypotf(__x, __y); }

  constexpr long double
  hypot(long double __x, long double __y)
  { return __builtin_hypotl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    hypot(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return hypot(__type(__x), __type(__y));
    }



  constexpr int
  ilogb(float __x)
  { return __builtin_ilogbf(__x); }

  constexpr int
  ilogb(long double __x)
  { return __builtin_ilogbl(__x); }



  template<typename _Tp>
    constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    int>::__type
    ilogb(_Tp __x)
    { return __builtin_ilogb(__x); }



  constexpr float
  lgamma(float __x)
  { return __builtin_lgammaf(__x); }

  constexpr long double
  lgamma(long double __x)
  { return __builtin_lgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    lgamma(_Tp __x)
    { return __builtin_lgamma(__x); }



  constexpr long long
  llrint(float __x)
  { return __builtin_llrintf(__x); }

  constexpr long long
  llrint(long double __x)
  { return __builtin_llrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llrint(_Tp __x)
    { return __builtin_llrint(__x); }



  constexpr long long
  llround(float __x)
  { return __builtin_llroundf(__x); }

  constexpr long long
  llround(long double __x)
  { return __builtin_llroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llround(_Tp __x)
    { return __builtin_llround(__x); }



  constexpr float
  log1p(float __x)
  { return __builtin_log1pf(__x); }

  constexpr long double
  log1p(long double __x)
  { return __builtin_log1pl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log1p(_Tp __x)
    { return __builtin_log1p(__x); }




  constexpr float
  log2(float __x)
  { return __builtin_log2f(__x); }

  constexpr long double
  log2(long double __x)
  { return __builtin_log2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log2(_Tp __x)
    { return __builtin_log2(__x); }



  constexpr float
  logb(float __x)
  { return __builtin_logbf(__x); }

  constexpr long double
  logb(long double __x)
  { return __builtin_logbl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    logb(_Tp __x)
    { return __builtin_logb(__x); }



  constexpr long
  lrint(float __x)
  { return __builtin_lrintf(__x); }

  constexpr long
  lrint(long double __x)
  { return __builtin_lrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lrint(_Tp __x)
    { return __builtin_lrint(__x); }



  constexpr long
  lround(float __x)
  { return __builtin_lroundf(__x); }

  constexpr long
  lround(long double __x)
  { return __builtin_lroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lround(_Tp __x)
    { return __builtin_lround(__x); }



  constexpr float
  nearbyint(float __x)
  { return __builtin_nearbyintf(__x); }

  constexpr long double
  nearbyint(long double __x)
  { return __builtin_nearbyintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nearbyint(_Tp __x)
    { return __builtin_nearbyint(__x); }



  constexpr float
  nextafter(float __x, float __y)
  { return __builtin_nextafterf(__x, __y); }

  constexpr long double
  nextafter(long double __x, long double __y)
  { return __builtin_nextafterl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    nextafter(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return nextafter(__type(__x), __type(__y));
    }



  constexpr float
  nexttoward(float __x, long double __y)
  { return __builtin_nexttowardf(__x, __y); }

  constexpr long double
  nexttoward(long double __x, long double __y)
  { return __builtin_nexttowardl(__x, __y); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nexttoward(_Tp __x, long double __y)
    { return __builtin_nexttoward(__x, __y); }



  constexpr float
  remainder(float __x, float __y)
  { return __builtin_remainderf(__x, __y); }

  constexpr long double
  remainder(long double __x, long double __y)
  { return __builtin_remainderl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remainder(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remainder(__type(__x), __type(__y));
    }



  inline float
  remquo(float __x, float __y, int* __pquo)
  { return __builtin_remquof(__x, __y, __pquo); }

  inline long double
  remquo(long double __x, long double __y, int* __pquo)
  { return __builtin_remquol(__x, __y, __pquo); }



  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remquo(_Tp __x, _Up __y, int* __pquo)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remquo(__type(__x), __type(__y), __pquo);
    }



  constexpr float
  rint(float __x)
  { return __builtin_rintf(__x); }

  constexpr long double
  rint(long double __x)
  { return __builtin_rintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    rint(_Tp __x)
    { return __builtin_rint(__x); }



  constexpr float
  round(float __x)
  { return __builtin_roundf(__x); }

  constexpr long double
  round(long double __x)
  { return __builtin_roundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    round(_Tp __x)
    { return __builtin_round(__x); }



  constexpr float
  scalbln(float __x, long __ex)
  { return __builtin_scalblnf(__x, __ex); }

  constexpr long double
  scalbln(long double __x, long __ex)
  { return __builtin_scalblnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbln(_Tp __x, long __ex)
    { return __builtin_scalbln(__x, __ex); }



  constexpr float
  scalbn(float __x, int __ex)
  { return __builtin_scalbnf(__x, __ex); }

  constexpr long double
  scalbn(long double __x, int __ex)
  { return __builtin_scalbnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbn(_Tp __x, int __ex)
    { return __builtin_scalbn(__x, __ex); }



  constexpr float
  tgamma(float __x)
  { return __builtin_tgammaf(__x); }

  constexpr long double
  tgamma(long double __x)
  { return __builtin_tgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    tgamma(_Tp __x)
    { return __builtin_tgamma(__x); }



  constexpr float
  trunc(float __x)
  { return __builtin_truncf(__x); }

  constexpr long double
  trunc(long double __x)
  { return __builtin_truncl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    trunc(_Tp __x)
    { return __builtin_trunc(__x); }
# 1852 "/opt/sutton/include/c++/9.0.0/cmath" 3
  template<typename _Tp>
    inline _Tp
    __hypot3(_Tp __x, _Tp __y, _Tp __z)
    {
      __x = std::abs(__x);
      __y = std::abs(__y);
      __z = std::abs(__z);
      if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x)
 return __a * std::sqrt((__x / __a) * (__x / __a)
          + (__y / __a) * (__y / __a)
          + (__z / __a) * (__z / __a));
      else
 return {};
    }

  inline float
  hypot(float __x, float __y, float __z)
  { return std::__hypot3<float>(__x, __y, __z); }

  inline double
  hypot(double __x, double __y, double __z)
  { return std::__hypot3<double>(__x, __y, __z); }

  inline long double
  hypot(long double __x, long double __y, long double __z)
  { return std::__hypot3<long double>(__x, __y, __z); }

  template<typename _Tp, typename _Up, typename _Vp>
    typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    hypot(_Tp __x, _Up __y, _Vp __z)
    {
      using __type = typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type;
      return std::__hypot3<__type>(__x, __y, __z);
    }



}


# 1 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
#pragma GCC visibility push(default)
# 49 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 1 3
# 49 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 1 3
# 39 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 50 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 3
  namespace __detail
  {



    template<typename _Tp>
    struct __floating_point_constant
    {
      static const _Tp __value;
    };



    template<typename _Tp>
      struct __numeric_constants
      {

        static _Tp __pi() throw()
        { return static_cast<_Tp>(3.1415926535897932384626433832795029L); }

        static _Tp __pi_2() throw()
        { return static_cast<_Tp>(1.5707963267948966192313216916397514L); }

        static _Tp __pi_3() throw()
        { return static_cast<_Tp>(1.0471975511965977461542144610931676L); }

        static _Tp __pi_4() throw()
        { return static_cast<_Tp>(0.7853981633974483096156608458198757L); }

        static _Tp __1_pi() throw()
        { return static_cast<_Tp>(0.3183098861837906715377675267450287L); }

        static _Tp __2_sqrtpi() throw()
        { return static_cast<_Tp>(1.1283791670955125738961589031215452L); }

        static _Tp __sqrt2() throw()
        { return static_cast<_Tp>(1.4142135623730950488016887242096981L); }

        static _Tp __sqrt3() throw()
        { return static_cast<_Tp>(1.7320508075688772935274463415058723L); }

        static _Tp __sqrtpio2() throw()
        { return static_cast<_Tp>(1.2533141373155002512078826424055226L); }

        static _Tp __sqrt1_2() throw()
        { return static_cast<_Tp>(0.7071067811865475244008443621048490L); }

        static _Tp __lnpi() throw()
        { return static_cast<_Tp>(1.1447298858494001741434273513530587L); }

        static _Tp __gamma_e() throw()
        { return static_cast<_Tp>(0.5772156649015328606065120900824024L); }

        static _Tp __euler() throw()
        { return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
      };
# 114 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 3
    template<typename _Tp>
    inline bool __isnan(_Tp __x)
    { return std::isnan(__x); }
# 133 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 3
  }





}
# 50 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 2 3

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

# 65 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
  namespace __detail
  {
# 76 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template <typename _Tp>
    _Tp
    __bernoulli_series(unsigned int __n)
    {

      static const _Tp __num[28] = {
        _Tp(1UL), -_Tp(1UL) / _Tp(2UL),
        _Tp(1UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(1UL) / _Tp(42UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(5UL) / _Tp(66UL), _Tp(0UL),
        -_Tp(691UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(7UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(3617UL) / _Tp(510UL), _Tp(0UL),
        _Tp(43867UL) / _Tp(798UL), _Tp(0UL),
        -_Tp(174611) / _Tp(330UL), _Tp(0UL),
        _Tp(854513UL) / _Tp(138UL), _Tp(0UL),
        -_Tp(236364091UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(8553103UL) / _Tp(6UL), _Tp(0UL)
      };

      if (__n == 0)
        return _Tp(1);

      if (__n == 1)
        return -_Tp(1) / _Tp(2);


      if (__n % 2 == 1)
        return _Tp(0);


      if (__n < 28)
        return __num[__n];


      _Tp __fact = _Tp(1);
      if ((__n / 2) % 2 == 0)
        __fact *= _Tp(-1);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __fact *= __k / (_Tp(2) * __numeric_constants<_Tp>::__pi());
      __fact *= _Tp(2);

      _Tp __sum = _Tp(0);
      for (unsigned int __i = 1; __i < 1000; ++__i)
        {
          _Tp __term = std::pow(_Tp(__i), -_Tp(__n));
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __fact * __sum;
    }
# 139 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __bernoulli(int __n)
    { return __bernoulli_series<_Tp>(__n); }
# 153 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_bernoulli(_Tp __x)
    {
      _Tp __lg = (__x - _Tp(0.5L)) * std::log(__x) - __x
               + _Tp(0.5L) * std::log(_Tp(2)
               * __numeric_constants<_Tp>::__pi());

      const _Tp __xx = __x * __x;
      _Tp __help = _Tp(1) / __x;
      for ( unsigned int __i = 1; __i < 20; ++__i )
        {
          const _Tp __2i = _Tp(2 * __i);
          __help /= __2i * (__2i - _Tp(1)) * __xx;
          __lg += __bernoulli<_Tp>(2 * __i) * __help;
        }

      return __lg;
    }
# 181 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_lanczos(_Tp __x)
    {
      const _Tp __xm1 = __x - _Tp(1);

      static const _Tp __lanczos_cheb_7[9] = {
       _Tp( 0.99999999999980993227684700473478L),
       _Tp( 676.520368121885098567009190444019L),
       _Tp(-1259.13921672240287047156078755283L),
       _Tp( 771.3234287776530788486528258894L),
       _Tp(-176.61502916214059906584551354L),
       _Tp( 12.507343278686904814458936853L),
       _Tp(-0.13857109526572011689554707L),
       _Tp( 9.984369578019570859563e-6L),
       _Tp( 1.50563273514931155834e-7L)
      };

      static const _Tp __LOGROOT2PI
          = _Tp(0.9189385332046727417803297364056176L);

      _Tp __sum = __lanczos_cheb_7[0];
      for(unsigned int __k = 1; __k < 9; ++__k)
        __sum += __lanczos_cheb_7[__k] / (__xm1 + __k);

      const _Tp __term1 = (__xm1 + _Tp(0.5L))
                        * std::log((__xm1 + _Tp(7.5L))
                       / __numeric_constants<_Tp>::__euler());
      const _Tp __term2 = __LOGROOT2PI + std::log(__sum);
      const _Tp __result = __term1 + (__term2 - _Tp(7));

      return __result;
    }
# 225 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma(_Tp __x)
    {
      if (__x > _Tp(0.5L))
        return __log_gamma_lanczos(__x);
      else
        {
          const _Tp __sin_fact
                 = std::abs(std::sin(__numeric_constants<_Tp>::__pi() * __x));
          if (__sin_fact == _Tp(0))
            std::__throw_domain_error(("Argument is nonpositive integer " "in __log_gamma")
                                                           );
          return __numeric_constants<_Tp>::__lnpi()
                     - std::log(__sin_fact)
                     - __log_gamma_lanczos(_Tp(1) - __x);
        }
    }
# 252 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_sign(_Tp __x)
    {
      if (__x > _Tp(0))
        return _Tp(1);
      else
        {
          const _Tp __sin_fact
                  = std::sin(__numeric_constants<_Tp>::__pi() * __x);
          if (__sin_fact > _Tp(0))
            return (1);
          else if (__sin_fact < _Tp(0))
            return -_Tp(1);
          else
            return _Tp(0);
        }
    }
# 283 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      _Tp __coeff = ::std::lgamma(_Tp(1 + __n))
                  - ::std::lgamma(_Tp(1 + __k))
                  - ::std::lgamma(_Tp(1 + __n - __k));





    }
# 314 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      const _Tp __log_coeff = __log_bincoef<_Tp>(__n, __k);
      if (__log_coeff > __max_bincoeff)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return std::exp(__log_coeff);
    }
# 337 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __gamma(_Tp __x)
    { return std::exp(__log_gamma(__x)); }
# 356 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_series(_Tp __x)
    {
      _Tp __sum = -__numeric_constants<_Tp>::__gamma_e() - _Tp(1) / __x;
      const unsigned int __max_iter = 100000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __x / (__k * (__k + __x));
          __sum += __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
        }
      return __sum;
    }
# 386 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_asymp(_Tp __x)
    {
      _Tp __sum = std::log(__x) - _Tp(0.5L) / __x;
      const _Tp __xx = __x * __x;
      _Tp __xp = __xx;
      const unsigned int __max_iter = 100;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __bernoulli<_Tp>(2 * __k) / (2 * __k * __xp);
          __sum -= __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
          __xp *= __xx;
        }
      return __sum;
    }
# 417 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(_Tp __x)
    {
      const int __n = static_cast<int>(__x + 0.5L);
      const _Tp __eps = _Tp(4) * std::numeric_limits<_Tp>::epsilon();
      if (__n <= 0 && std::abs(__x - _Tp(__n)) < __eps)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x < _Tp(0))
        {
          const _Tp __pi = __numeric_constants<_Tp>::__pi();
          return __psi(_Tp(1) - __x)
               - __pi * std::cos(__pi * __x) / std::sin(__pi * __x);
        }
      else if (__x > _Tp(100))
        return __psi_asymp(__x);
      else
        return __psi_series(__x);
    }
# 446 "/opt/sutton/include/c++/9.0.0/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(unsigned int __n, _Tp __x)
    {
      if (__x <= _Tp(0))
        std::__throw_domain_error(("Argument out of range " "in __psi")
                                                 );
      else if (__n == 0)
        return __psi(__x);
      else
        {
          const _Tp __hzeta = __hurwitz_zeta(_Tp(__n + 1), __x);

          const _Tp __ln_nfact = ::std::lgamma(_Tp(__n + 1));



          _Tp __result = std::exp(__ln_nfact) * __hzeta;
          if (__n % 2 == 1)
            __result = -__result;
          return __result;
        }
    }
  }






}
# 50 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 1 3
# 53 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/special_function_util.h" 1 3
# 54 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 2 3

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

# 71 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
  namespace __detail
  {
# 98 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __gamma_temme(_Tp __mu,
                  _Tp & __gam1, _Tp & __gam2, _Tp & __gampl, _Tp & __gammi)
    {

      __gampl = _Tp(1) / ::std::tgamma(_Tp(1) + __mu);
      __gammi = _Tp(1) / ::std::tgamma(_Tp(1) - __mu);





      if (std::abs(__mu) < std::numeric_limits<_Tp>::epsilon())
        __gam1 = -_Tp(__numeric_constants<_Tp>::__gamma_e());
      else
        __gam1 = (__gammi - __gampl) / (_Tp(2) * __mu);

      __gam2 = (__gammi + __gampl) / (_Tp(2));

      return;
    }
# 136 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __bessel_jn(_Tp __nu, _Tp __x,
                _Tp & __Jnu, _Tp & __Nnu, _Tp & __Jpnu, _Tp & __Npnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Jnu = _Tp(1);
              __Jpnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0.5L);
            }
          else
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0);
            }
          __Nnu = -std::numeric_limits<_Tp>::infinity();
          __Npnu = std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();




      const _Tp __fp_min = std::sqrt(std::numeric_limits<_Tp>::min());
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = (__x < __x_min
                    ? static_cast<int>(__nu + _Tp(0.5L))
                    : std::max(0, static_cast<int>(__nu - __x + _Tp(1.5L))));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __w = __xi2 / __numeric_constants<_Tp>::__pi();
      int __isign = 1;
      _Tp __h = __nu * __xi;
      if (__h < __fp_min)
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for (__i = 1; __i <= __max_iter; ++__i)
        {
          __b += __xi2;
          __d = __b - __d;
          if (std::abs(__d) < __fp_min)
            __d = __fp_min;
          __c = __b - _Tp(1) / __c;
          if (std::abs(__c) < __fp_min)
            __c = __fp_min;
          __d = _Tp(1) / __d;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (__d < _Tp(0))
            __isign = -__isign;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large in __bessel_jn; " "try asymptotic expansion.")
                                                                   );
      _Tp __Jnul = __isign * __fp_min;
      _Tp __Jpnul = __h * __Jnul;
      _Tp __Jnul1 = __Jnul;
      _Tp __Jpnu1 = __Jpnul;
      _Tp __fact = __nu * __xi;
      for ( int __l = __nl; __l >= 1; --__l )
        {
          const _Tp __Jnutemp = __fact * __Jnul + __Jpnul;
          __fact -= __xi;
          __Jpnul = __fact * __Jnutemp - __Jnul;
          __Jnul = __Jnutemp;
        }
      if (__Jnul == _Tp(0))
        __Jnul = __eps;
      _Tp __f= __Jpnul / __Jnul;
      _Tp __Nmu, __Nnu1, __Npmu, __Jmu;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          _Tp __fact = (std::abs(__pimu) < __eps
                      ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          _Tp __fact2 = (std::abs(__e) < __eps
                       ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = (_Tp(2) / __numeric_constants<_Tp>::__pi())
                   * __fact * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          __e = std::exp(__e);
          _Tp __p = __e / (__numeric_constants<_Tp>::__pi() * __gampl);
          _Tp __q = _Tp(1) / (__e * __numeric_constants<_Tp>::__pi() * __gammi);
          const _Tp __pimu2 = __pimu / _Tp(2);
          _Tp __fact3 = (std::abs(__pimu2) < __eps
                       ? _Tp(1) : std::sin(__pimu2) / __pimu2 );
          _Tp __r = __numeric_constants<_Tp>::__pi() * __pimu2 * __fact3 * __fact3;
          _Tp __c = _Tp(1);
          __d = -__x2 * __x2;
          _Tp __sum = __ff + __r * __q;
          _Tp __sum1 = __p;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / _Tp(__i);
              __p /= _Tp(__i) - __mu;
              __q /= _Tp(__i) + __mu;
              const _Tp __del = __c * (__ff + __r * __q);
              __sum += __del;
              const _Tp __del1 = __c * __p - __i * __del;
              __sum1 += __del1;
              if ( std::abs(__del) < __eps * (_Tp(1) + std::abs(__sum)) )
                break;
            }
          if ( __i > __max_iter )
            std::__throw_runtime_error(("Bessel y series failed to converge " "in __bessel_jn.")
                                                             );
          __Nmu = -__sum;
          __Nnu1 = -__sum1 * __xi2;
          __Npmu = __mu * __xi * __Nmu - __Nnu1;
          __Jmu = __w / (__Npmu - __f * __Nmu);
        }
      else
        {
          _Tp __a = _Tp(0.25L) - __mu2;
          _Tp __q = _Tp(1);
          _Tp __p = -__xi / _Tp(2);
          _Tp __br = _Tp(2) * __x;
          _Tp __bi = _Tp(2);
          _Tp __fact = __a * __xi / (__p * __p + __q * __q);
          _Tp __cr = __br + __q * __fact;
          _Tp __ci = __bi + __p * __fact;
          _Tp __den = __br * __br + __bi * __bi;
          _Tp __dr = __br / __den;
          _Tp __di = -__bi / __den;
          _Tp __dlr = __cr * __dr - __ci * __di;
          _Tp __dli = __cr * __di + __ci * __dr;
          _Tp __temp = __p * __dlr - __q * __dli;
          __q = __p * __dli + __q * __dlr;
          __p = __temp;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a += _Tp(2 * (__i - 1));
              __bi += _Tp(2);
              __dr = __a * __dr + __br;
              __di = __a * __di + __bi;
              if (std::abs(__dr) + std::abs(__di) < __fp_min)
                __dr = __fp_min;
              __fact = __a / (__cr * __cr + __ci * __ci);
              __cr = __br + __cr * __fact;
              __ci = __bi - __ci * __fact;
              if (std::abs(__cr) + std::abs(__ci) < __fp_min)
                __cr = __fp_min;
              __den = __dr * __dr + __di * __di;
              __dr /= __den;
              __di /= -__den;
              __dlr = __cr * __dr - __ci * __di;
              __dli = __cr * __di + __ci * __dr;
              __temp = __p * __dlr - __q * __dli;
              __q = __p * __dli + __q * __dlr;
              __p = __temp;
              if (std::abs(__dlr - _Tp(1)) + std::abs(__dli) < __eps)
                break;
          }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Lentz's method failed " "in __bessel_jn.")
                                                             );
          const _Tp __gam = (__p - __f) / __q;
          __Jmu = std::sqrt(__w / ((__p - __f) * __gam + __q));

          __Jmu = ::std::copysign(__Jmu, __Jnul);




          __Nmu = __gam * __Jmu;
          __Npmu = (__p + __q / __gam) * __Nmu;
          __Nnu1 = __mu * __xi * __Nmu - __Npmu;
      }
      __fact = __Jmu / __Jnul;
      __Jnu = __fact * __Jnul1;
      __Jpnu = __fact * __Jpnu1;
      for (__i = 1; __i <= __nl; ++__i)
        {
          const _Tp __Nnutemp = (__mu + __i) * __xi2 * __Nnu1 - __Nmu;
          __Nmu = __Nnu1;
          __Nnu1 = __Nnutemp;
        }
      __Nnu = __Nmu;
      __Npnu = __nu * __xi * __Nmu - __Nnu1;

      return;
    }
# 361 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __cyl_bessel_jn_asymp(_Tp __nu, _Tp __x, _Tp & __Jnu, _Tp & __Nnu)
    {
      const _Tp __mu = _Tp(4) * __nu * __nu;
      const _Tp __8x = _Tp(8) * __x;

      _Tp __P = _Tp(0);
      _Tp __Q = _Tp(0);

      _Tp __k = _Tp(0);
      _Tp __term = _Tp(1);

      int __epsP = 0;
      int __epsQ = 0;

      _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      do
        {
          __term *= (__k == 0
                     ? _Tp(1)
                     : -(__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x));

          __epsP = std::abs(__term) < __eps * std::abs(__P);
          __P += __term;

          __k++;

          __term *= (__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x);
          __epsQ = std::abs(__term) < __eps * std::abs(__Q);
          __Q += __term;

          if (__epsP && __epsQ && __k > (__nu / 2.))
            break;

          __k++;
        }
      while (__k < 1000);

      const _Tp __chi = __x - (__nu + _Tp(0.5L))
                             * __numeric_constants<_Tp>::__pi_2();

      const _Tp __c = std::cos(__chi);
      const _Tp __s = std::sin(__chi);

      const _Tp __coef = std::sqrt(_Tp(2)
                             / (__numeric_constants<_Tp>::__pi() * __x));

      __Jnu = __coef * (__c * __P - __s * __Q);
      __Nnu = __coef * (__s * __P + __c * __Q);

      return;
    }
# 444 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __cyl_bessel_ij_series(_Tp __nu, _Tp __x, _Tp __sgn,
                           unsigned int __max_iter)
    {
      if (__x == _Tp(0))
 return __nu == _Tp(0) ? _Tp(1) : _Tp(0);

      const _Tp __x2 = __x / _Tp(2);
      _Tp __fact = __nu * std::log(__x2);

      __fact -= ::std::lgamma(__nu + _Tp(1));



      __fact = std::exp(__fact);
      const _Tp __xx4 = __sgn * __x2 * __x2;
      _Tp __Jn = _Tp(1);
      _Tp __term = _Tp(1);

      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __xx4 / (_Tp(__i) * (__nu + _Tp(__i)));
          __Jn += __term;
          if (std::abs(__term / __Jn) < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      return __fact * __Jn;
    }
# 490 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_j(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_j.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, -_Tp(1), 200);
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __J_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __J_nu;
        }
    }
# 532 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_neumann_n(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_neumann_n.")
                                                            );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __N_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __N_nu;
        }
    }
# 569 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_jn(unsigned int __n, _Tp __x,
                    _Tp & __j_n, _Tp & __n_n, _Tp & __jp_n, _Tp & __np_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
      __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __j_n = __factor * __J_nu;
      __n_n = __factor * __N_nu;
      __jp_n = __factor * __Jp_nu - __j_n / (_Tp(2) * __x);
      __np_n = __factor * __Np_nu - __n_n / (_Tp(2) * __x);

      return;
    }
# 604 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_bessel(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_bessel.")
                                                         );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        {
          if (__n == 0)
            return _Tp(1);
          else
            return _Tp(0);
        }
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __j_n;
        }
    }
# 642 "/opt/sutton/include/c++/9.0.0/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_neumann(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_neumann.")
                                                          );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        return -std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __n_n;
        }
    }
  }






}
# 51 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 1 3
# 49 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
  namespace __detail
  {
# 79 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_gamma(_Tp __x, _Tp __y)
    {

      _Tp __bet;

      if (__x > __y)
        {
          __bet = ::std::tgamma(__x)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__y);
        }
      else
        {
          __bet = ::std::tgamma(__y)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__x);
        }
# 111 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
      return __bet;
    }
# 127 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_lgamma(_Tp __x, _Tp __y)
    {

      _Tp __bet = ::std::lgamma(__x)
                + ::std::lgamma(__y)
                - ::std::lgamma(__x + __y);





      __bet = std::exp(__bet);
      return __bet;
    }
# 158 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_product(_Tp __x, _Tp __y)
    {

      _Tp __bet = (__x + __y) / (__x * __y);

      unsigned int __max_iter = 1000000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          _Tp __term = (_Tp(1) + (__x + __y) / __k)
                     / ((_Tp(1) + __x / __k) * (_Tp(1) + __y / __k));
          __bet *= __term;
        }

      return __bet;
    }
# 189 "/opt/sutton/include/c++/9.0.0/tr1/beta_function.tcc" 3
    template<typename _Tp>
    inline _Tp
    __beta(_Tp __x, _Tp __y)
    {
      if (__isnan(__x) || __isnan(__y))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __beta_lgamma(__x, __y);
    }
  }






}
# 52 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 1 3
# 45 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 59 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
  namespace __detail
  {
# 76 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rf(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(5) * __min;
      const _Tp __uplim = __max / _Tp(5);

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rf.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim)
        std::__throw_domain_error(("Argument too small in __ellint_rf"));
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(24);
          const _Tp __c2 = _Tp(1) / _Tp(10);
          const _Tp __c3 = _Tp(3) / _Tp(44);
          const _Tp __c4 = _Tp(1) / _Tp(14);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps, _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn) / _Tp(3);
              __xndev = 2 - (__mu + __xn) / __mu;
              __yndev = 2 - (__mu + __yn) / __mu;
              __zndev = 2 - (__mu + __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          const _Tp __e2 = __xndev * __yndev - __zndev * __zndev;
          const _Tp __e3 = __xndev * __yndev * __zndev;
          const _Tp __s = _Tp(1) + (__c1 * __e2 - __c2 - __c3 * __e3) * __e2
                   + __c4 * __e3;

          return __s / std::sqrt(__mu);
        }
    }
# 155 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk / _Tp(4);
      _Tp __sum = _Tp(1) + __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          __term *= (2 * __i - 1) * __kk / (2 * __i);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __numeric_constants<_Tp>::__pi_2() * __sum;
    }
# 193 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) >= _Tp(1))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __ellint_rf(_Tp(0), _Tp(1) - __k * __k, _Tp(1));
    }
# 221 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_1(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_1."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __s = std::sin(__phi_red);
          const _Tp __c = std::cos(__phi_red);

          const _Tp __F = __s
                        * __ellint_rf(__c * __c,
                                _Tp(1) - __k * __k * __s * __s, _Tp(1));

          if (__n == 0)
            return __F;
          else
            return __F + _Tp(2) * __n * __comp_ellint_1(__k);
        }
    }
# 268 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk;
      _Tp __sum = __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          const _Tp __i2m = 2 * __i - 1;
          const _Tp __i2 = 2 * __i;
          __term *= __i2m * __i2m * __kk / (__i2 * __i2);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term / __i2m;
        }

      return __numeric_constants<_Tp>::__pi_2() * (_Tp(1) - __sum);
    }
# 316 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rd(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(2) / std::pow(__max, _Tp(2) / _Tp(3));
      const _Tp __uplim = std::pow(_Tp(0.1L) * __errtol / __min, _Tp(2) / _Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rd.")
                                                        );
      else if (__x + __y < __lolim || __z < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rd.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(6);
          const _Tp __c3 = _Tp(9) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + _Tp(3) * __zn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              _Tp __xnroot = std::sqrt(__xn);
              _Tp __ynroot = std::sqrt(__yn);
              _Tp __znroot = std::sqrt(__zn);
              _Tp __lambda = __xnroot * (__ynroot + __znroot)
                           + __ynroot * __znroot;
              __sigma += __power4 / (__znroot * (__zn + __lambda));
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }


          _Tp __eaa = __xndev * __yndev;
          _Tp __eb = __zndev * __zndev;
          _Tp __ec = __eaa - __eb;
          _Tp __ed = __eaa - _Tp(6) * __eb;
          _Tp __ef = __ed + __ec + __ec;
          _Tp __s1 = __ed * (-__c1 + __c3 * __ed
                                   / _Tp(3) - _Tp(3) * __c4 * __zndev * __ef
                                   / _Tp(2));
          _Tp __s2 = __zndev
                   * (__c2 * __ef
                    + __zndev * (-__c3 * __ec - __zndev * __c4 - __eaa));

          return _Tp(3) * __sigma + __power4 * (_Tp(1) + __s1 + __s2)
                                        / (__mu * std::sqrt(__mu));
        }
    }
# 404 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) == 1)
        return _Tp(1);
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_2."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               - __kk * __ellint_rd(_Tp(0), _Tp(1) - __kk, _Tp(1)) / _Tp(3);
        }
    }
# 438 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_2(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_2."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __E = __s
                        * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        - __kk * __sss
                        * __ellint_rd(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        / _Tp(3);

          if (__n == 0)
            return __E;
          else
            return __E + _Tp(2) * __n * __comp_ellint_2(__k);
        }
    }
# 497 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rc(_Tp __x, _Tp __y)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(5) * __min;
      const _Tp __uplim = __max / _Tp(5);

      if (__x < _Tp(0) || __y < _Tp(0) || __x + __y < __lolim)
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rc.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(7);
          const _Tp __c2 = _Tp(9) / _Tp(22);
          const _Tp __c3 = _Tp(3) / _Tp(10);
          const _Tp __c4 = _Tp(3) / _Tp(8);

          _Tp __xn = __x;
          _Tp __yn = __y;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(30), _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __sn;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + _Tp(2) * __yn) / _Tp(3);
              __sn = (__yn + __mu) / __mu - _Tp(2);
              if (std::abs(__sn) < __errtol)
                break;
              const _Tp __lambda = _Tp(2) * std::sqrt(__xn) * std::sqrt(__yn)
                             + __yn;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
            }

          _Tp __s = __sn * __sn
                  * (__c3 + __sn*(__c1 + __sn * (__c4 + __sn * __c2)));

          return (_Tp(1) + __s) / std::sqrt(__mu);
        }
    }
# 568 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rj(_Tp __x, _Tp __y, _Tp __z, _Tp __p)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = std::pow(_Tp(5) * __min, _Tp(1)/_Tp(3));
      const _Tp __uplim = _Tp(0.3L)
                        * std::pow(_Tp(0.2L) * __max, _Tp(1)/_Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rj.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim || __p < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rj")
                                                       );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(3);
          const _Tp __c3 = _Tp(3) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __pn = __p;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));

          _Tp __lambda, __mu;
          _Tp __xndev, __yndev, __zndev, __pndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn + _Tp(2) * __pn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              __pndev = (__mu - __pn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              __epsilon = std::max(__epsilon, std::abs(__pndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              const _Tp __alpha1 = __pn * (__xnroot + __ynroot + __znroot)
                                + __xnroot * __ynroot * __znroot;
              const _Tp __alpha2 = __alpha1 * __alpha1;
              const _Tp __beta = __pn * (__pn + __lambda)
                                      * (__pn + __lambda);
              __sigma += __power4 * __ellint_rc(__alpha2, __beta);
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
              __pn = __c0 * (__pn + __lambda);
            }


          _Tp __eaa = __xndev * (__yndev + __zndev) + __yndev * __zndev;
          _Tp __eb = __xndev * __yndev * __zndev;
          _Tp __ec = __pndev * __pndev;
          _Tp __e2 = __eaa - _Tp(3) * __ec;
          _Tp __e3 = __eb + _Tp(2) * __pndev * (__eaa - __ec);
          _Tp __s1 = _Tp(1) + __e2 * (-__c1 + _Tp(3) * __c3 * __e2 / _Tp(4)
                            - _Tp(3) * __c4 * __e3 / _Tp(2));
          _Tp __s2 = __eb * (__c2 / _Tp(2)
                   + __pndev * (-__c3 - __c3 + __pndev * __c4));
          _Tp __s3 = __pndev * __eaa * (__c2 - __pndev * __c3)
                   - __c2 * __pndev * __ec;

          return _Tp(3) * __sigma + __power4 * (__s1 + __s2 + __s3)
                                             / (__mu * std::sqrt(__mu));
        }
    }
# 672 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_3(_Tp __k, _Tp __nu)
    {

      if (__isnan(__k) || __isnan(__nu))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__nu == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_3."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               + __nu
               * __ellint_rj(_Tp(0), _Tp(1) - __kk, _Tp(1), _Tp(1) - __nu)
               / _Tp(3);
        }
    }
# 712 "/opt/sutton/include/c++/9.0.0/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_3(_Tp __k, _Tp __nu, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__nu) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_3."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __Pi = __s
                         * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                         + __nu * __sss
                         * __ellint_rj(__cc, _Tp(1) - __kk * __ss, _Tp(1),
                                       _Tp(1) - __nu * __ss) / _Tp(3);

          if (__n == 0)
            return __Pi;
          else
            return __Pi + _Tp(2) * __n * __comp_ellint_3(__k, __nu);
        }
    }
  }





}
# 53 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 1 3
# 50 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 64 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
  namespace __detail
  {
    template<typename _Tp> _Tp __expint_E1(_Tp);
# 81 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_series(_Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(0);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= - __x / __i;
          if (std::abs(__term) < __eps)
            break;
          if (__term >= _Tp(0))
            __esum += __term / __i;
          else
            __osum += __term / __i;
        }

      return - __esum - __osum
             - __numeric_constants<_Tp>::__gamma_e() - std::log(__x);
    }
# 118 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(1);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= - __i / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          if (__term >= _Tp(0))
            __esum += __term;
          else
            __osum += __term;
        }

      return std::exp(- __x) * (__esum + __osum) / __x;
    }
# 155 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_series(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const int __nm1 = __n - 1;
      _Tp __ans = (__nm1 != 0
                ? _Tp(1) / __nm1 : -std::log(__x)
                                   - __numeric_constants<_Tp>::__gamma_e());
      _Tp __fact = _Tp(1);
      for (int __i = 1; __i <= __max_iter; ++__i)
        {
          __fact *= -__x / _Tp(__i);
          _Tp __del;
          if ( __i != __nm1 )
            __del = -__fact / _Tp(__i - __nm1);
          else
            {
              _Tp __psi = -__numeric_constants<_Tp>::gamma_e();
              for (int __ii = 1; __ii <= __nm1; ++__ii)
                __psi += _Tp(1) / _Tp(__ii);
              __del = __fact * (__psi - std::log(__x));
            }
          __ans += __del;
          if (std::abs(__del) < __eps * std::abs(__ans))
            return __ans;
        }
      std::__throw_runtime_error(("Series summation failed " "in __expint_En_series.")
                                                              );
    }
# 201 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_cont_frac(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = std::numeric_limits<_Tp>::min();
      const int __nm1 = __n - 1;
      _Tp __b = __x + _Tp(__n);
      _Tp __c = _Tp(1) / __fp_min;
      _Tp __d = _Tp(1) / __b;
      _Tp __h = __d;
      for ( unsigned int __i = 1; __i <= __max_iter; ++__i )
        {
          _Tp __a = -_Tp(__i * (__nm1 + __i));
          __b += _Tp(2);
          __d = _Tp(1) / (__a * __d + __b);
          __c = __b + __a / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            {
              const _Tp __ans = __h * std::exp(-__x);
              return __ans;
            }
        }
      std::__throw_runtime_error(("Continued fraction failed " "in __expint_En_cont_frac.")
                                                                 );
    }
# 246 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_recursion(unsigned int __n, _Tp __x)
    {
      _Tp __En;
      _Tp __E1 = __expint_E1(__x);
      if (__x < _Tp(__n))
        {

          __En = __E1;
          for (unsigned int __j = 2; __j < __n; ++__j)
            __En = (std::exp(-__x) - __x * __En) / _Tp(__j - 1);
        }
      else
        {

          __En = _Tp(1);
          const int __N = __n + 20;
          _Tp __save = _Tp(0);
          for (int __j = __N; __j > 0; --__j)
            {
              __En = (std::exp(-__x) - __j * __En) / __x;
              if (__j == __n)
                __save = __En;
            }
            _Tp __norm = __En / __E1;
            __En /= __norm;
        }

      return __En;
    }
# 290 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_series(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __x / __i;
          __sum += __term / __i;
          if (__term < std::numeric_limits<_Tp>::epsilon() * __sum)
            break;
        }

      return __numeric_constants<_Tp>::__gamma_e() + __sum + std::log(__x);
    }
# 321 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= __i / __x;
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          if (__term >= __prev)
            break;
          __sum += __term;
        }

      return std::exp(__x) * __sum / __x;
    }
# 354 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_E1(-__x);
      else if (__x < -std::log(std::numeric_limits<_Tp>::epsilon()))
        return __expint_Ei_series(__x);
      else
        return __expint_Ei_asymp(__x);
    }
# 378 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_Ei(-__x);
      else if (__x < _Tp(1))
        return __expint_E1_series(__x);
      else if (__x < _Tp(100))
        return __expint_En_cont_frac(1, __x);
      else
        return __expint_E1_asymp(__x);
    }
# 408 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_asymp(unsigned int __n, _Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= -(__n - __i + 1) / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __x;
    }
# 442 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_large_n(unsigned int __n, _Tp __x)
    {
      const _Tp __xpn = __x + __n;
      const _Tp __xpn2 = __xpn * __xpn;
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= (__n - 2 * (__i - 1) * __x) / __xpn2;
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __xpn;
    }
# 476 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint(unsigned int __n, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n <= 1 && __x == _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __E0 = std::exp(__x) / __x;
          if (__n == 0)
            return __E0;

          _Tp __E1 = __expint_E1(__x);
          if (__n == 1)
            return __E1;

          if (__x == _Tp(0))
            return _Tp(1) / static_cast<_Tp>(__n - 1);

          _Tp __En = __expint_En_recursion(__n, __x);

          return __En;
        }
    }
# 516 "/opt/sutton/include/c++/9.0.0/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    inline _Tp
    __expint(_Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __expint_Ei(__x);
    }
  }





}
# 54 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 1 3
# 44 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
  namespace __detail
  {
# 83 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_series(_Tp __a, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fac = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fac += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __conf_hyperg_series.")
                                                                  );

      return __Fac;
    }
# 120 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_luke(_Tp __a, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a / __c;
      const _Tp __t1 = (__a + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) / (_Tp(2) * (__c + _Tp(1)));
      _Tp __F = _Tp(1);
      _Tp __prec;

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while(1)
        {
          _Tp __npam1 = _Tp(__n - 1) + __a;
          _Tp __npcm1 = _Tp(__n - 1) + __c;
          _Tp __npam2 = _Tp(__n - 2) + __a;
          _Tp __npcm2 = _Tp(__n - 2) + __c;
          _Tp __tnm1 = _Tp(2 * __n - 1);
          _Tp __tnm3 = _Tp(2 * __n - 3);
          _Tp __tnm5 = _Tp(2 * __n - 5);
          _Tp __F1 = (_Tp(__n - 2) - __a) / (_Tp(2) * __tnm3 * __npcm1);
          _Tp __F2 = (_Tp(__n) + __a) * __npam1
                   / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          _Tp __F3 = -__npam2 * __npam1 * (_Tp(__n - 2) - __a)
                   / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                   * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          _Tp __E = -__npam1 * (_Tp(__n - 1) - __c)
                   / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          _Tp __r = __An / __Bn;

          __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __conf_hyperg_luke.")
                                                                );

      return __F;
    }
# 227 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg(_Tp __a, _Tp __c, _Tp __x)
    {

      const _Tp __c_nint = ::std::nearbyint(__c);



      if (__isnan(__a) || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= 0)
        return std::numeric_limits<_Tp>::infinity();
      else if (__a == _Tp(0))
        return _Tp(1);
      else if (__c == __a)
        return std::exp(__x);
      else if (__x < _Tp(0))
        return __conf_hyperg_luke(__a, __c, __x);
      else
        return __conf_hyperg_series(__a, __c, __x);
    }
# 271 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_series(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fabc = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * (__b + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fabc += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __hyperg_series.")
                                                             );

      return __Fabc;
    }







    template<typename _Tp>
    _Tp
    __hyperg_luke(_Tp __a, _Tp __b, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a * __b / __c;
      const _Tp __t1 = (__a + _Tp(1)) * (__b + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) * (__b + _Tp(2))
                     / (_Tp(2) * (__c + _Tp(1)));

      _Tp __F = _Tp(1);

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while (1)
        {
          const _Tp __npam1 = _Tp(__n - 1) + __a;
          const _Tp __npbm1 = _Tp(__n - 1) + __b;
          const _Tp __npcm1 = _Tp(__n - 1) + __c;
          const _Tp __npam2 = _Tp(__n - 2) + __a;
          const _Tp __npbm2 = _Tp(__n - 2) + __b;
          const _Tp __npcm2 = _Tp(__n - 2) + __c;
          const _Tp __tnm1 = _Tp(2 * __n - 1);
          const _Tp __tnm3 = _Tp(2 * __n - 3);
          const _Tp __tnm5 = _Tp(2 * __n - 5);
          const _Tp __n2 = __n * __n;
          const _Tp __F1 = (_Tp(3) * __n2 + (__a + __b - _Tp(6)) * __n
                         + _Tp(2) - __a * __b - _Tp(2) * (__a + __b))
                         / (_Tp(2) * __tnm3 * __npcm1);
          const _Tp __F2 = -(_Tp(3) * __n2 - (__a + __b + _Tp(6)) * __n
                         + _Tp(2) - __a * __b) * __npam1 * __npbm1
                         / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          const _Tp __F3 = (__npam2 * __npam1 * __npbm2 * __npbm1
                         * (_Tp(__n - 2) - __a) * (_Tp(__n - 2) - __b))
                         / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                         * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          const _Tp __E = -__npam1 * __npbm1 * (_Tp(__n - 1) - __c)
                         / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          const _Tp __r = __An / __Bn;

          const _Tp __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __hyperg_luke.")
                                                           );

      return __F;
    }
# 438 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_reflect(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __d = __c - __a - __b;
      const int __intd = std::floor(__d + _Tp(0.5L));
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __toler = _Tp(1000) * __eps;
      const _Tp __log_max = std::log(std::numeric_limits<_Tp>::max());
      const bool __d_integer = (std::abs(__d - __intd) < __toler);

      if (__d_integer)
        {
          const _Tp __ln_omx = std::log(_Tp(1) - __x);
          const _Tp __ad = std::abs(__d);
          _Tp __F1, __F2;

          _Tp __d1, __d2;
          if (__d >= _Tp(0))
            {
              __d1 = __d;
              __d2 = _Tp(0);
            }
          else
            {
              __d1 = _Tp(0);
              __d2 = __d;
            }

          const _Tp __lng_c = __log_gamma(__c);


          if (__ad < __eps)
            {

              __F1 = _Tp(0);
            }
          else
            {

              bool __ok_d1 = true;
              _Tp __lng_ad, __lng_ad1, __lng_bd1;
              try
                {
                  __lng_ad = __log_gamma(__ad);
                  __lng_ad1 = __log_gamma(__a + __d1);
                  __lng_bd1 = __log_gamma(__b + __d1);
                }
              catch(...)
                {
                  __ok_d1 = false;
                }

              if (__ok_d1)
                {



                  _Tp __sum1 = _Tp(1);
                  _Tp __term = _Tp(1);
                  _Tp __ln_pre1 = __lng_ad + __lng_c + __d2 * __ln_omx
                                - __lng_ad1 - __lng_bd1;



                  for (int __i = 1; __i < __ad; ++__i)
                    {
                      const int __j = __i - 1;
                      __term *= (__a + __d2 + __j) * (__b + __d2 + __j)
                              / (_Tp(1) + __d2 + __j) / __i * (_Tp(1) - __x);
                      __sum1 += __term;
                    }

                  if (__ln_pre1 > __log_max)
                    std::__throw_runtime_error(("Overflow of gamma functions" " in __hyperg_luke.")
                                                                        );
                  else
                    __F1 = std::exp(__ln_pre1) * __sum1;
                }
              else
                {


                  __F1 = _Tp(0);
                }
            }


          bool __ok_d2 = true;
          _Tp __lng_ad2, __lng_bd2;
          try
            {
              __lng_ad2 = __log_gamma(__a + __d2);
              __lng_bd2 = __log_gamma(__b + __d2);
            }
          catch(...)
            {
              __ok_d2 = false;
            }

          if (__ok_d2)
            {


              const int __maxiter = 2000;
              const _Tp __psi_1 = -__numeric_constants<_Tp>::__gamma_e();
              const _Tp __psi_1pd = __psi(_Tp(1) + __ad);
              const _Tp __psi_apd1 = __psi(__a + __d1);
              const _Tp __psi_bpd1 = __psi(__b + __d1);

              _Tp __psi_term = __psi_1 + __psi_1pd - __psi_apd1
                             - __psi_bpd1 - __ln_omx;
              _Tp __fact = _Tp(1);
              _Tp __sum2 = __psi_term;
              _Tp __ln_pre2 = __lng_c + __d1 * __ln_omx
                            - __lng_ad2 - __lng_bd2;


              int __j;
              for (__j = 1; __j < __maxiter; ++__j)
                {


                  const _Tp __term1 = _Tp(1) / _Tp(__j)
                                    + _Tp(1) / (__ad + __j);
                  const _Tp __term2 = _Tp(1) / (__a + __d1 + _Tp(__j - 1))
                                    + _Tp(1) / (__b + __d1 + _Tp(__j - 1));
                  __psi_term += __term1 - __term2;
                  __fact *= (__a + __d1 + _Tp(__j - 1))
                          * (__b + __d1 + _Tp(__j - 1))
                          / ((__ad + __j) * __j) * (_Tp(1) - __x);
                  const _Tp __delta = __fact * __psi_term;
                  __sum2 += __delta;
                  if (std::abs(__delta) < __eps * std::abs(__sum2))
                    break;
                }
              if (__j == __maxiter)
                std::__throw_runtime_error(("Sum F2 failed to converge " "in __hyperg_reflect")
                                                                     );

              if (__sum2 == _Tp(0))
                __F2 = _Tp(0);
              else
                __F2 = std::exp(__ln_pre2) * __sum2;
            }
          else
            {


              __F2 = _Tp(0);
            }

          const _Tp __sgn_2 = (__intd % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __F = __F1 + __sgn_2 * __F2;

          return __F;
        }
      else
        {




          bool __ok1 = true;
          _Tp __sgn_g1ca = _Tp(0), __ln_g1ca = _Tp(0);
          _Tp __sgn_g1cb = _Tp(0), __ln_g1cb = _Tp(0);
          try
            {
              __sgn_g1ca = __log_gamma_sign(__c - __a);
              __ln_g1ca = __log_gamma(__c - __a);
              __sgn_g1cb = __log_gamma_sign(__c - __b);
              __ln_g1cb = __log_gamma(__c - __b);
            }
          catch(...)
            {
              __ok1 = false;
            }

          bool __ok2 = true;
          _Tp __sgn_g2a = _Tp(0), __ln_g2a = _Tp(0);
          _Tp __sgn_g2b = _Tp(0), __ln_g2b = _Tp(0);
          try
            {
              __sgn_g2a = __log_gamma_sign(__a);
              __ln_g2a = __log_gamma(__a);
              __sgn_g2b = __log_gamma_sign(__b);
              __ln_g2b = __log_gamma(__b);
            }
          catch(...)
            {
              __ok2 = false;
            }

          const _Tp __sgn_gc = __log_gamma_sign(__c);
          const _Tp __ln_gc = __log_gamma(__c);
          const _Tp __sgn_gd = __log_gamma_sign(__d);
          const _Tp __ln_gd = __log_gamma(__d);
          const _Tp __sgn_gmd = __log_gamma_sign(-__d);
          const _Tp __ln_gmd = __log_gamma(-__d);

          const _Tp __sgn1 = __sgn_gc * __sgn_gd * __sgn_g1ca * __sgn_g1cb;
          const _Tp __sgn2 = __sgn_gc * __sgn_gmd * __sgn_g2a * __sgn_g2b;

          _Tp __pre1, __pre2;
          if (__ok1 && __ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre1 < __log_max && __ln_pre2 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre2 = std::exp(__ln_pre2);
                  __pre1 *= __sgn1;
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (__ok1 && !__ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              if (__ln_pre1 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre1 *= __sgn1;
                  __pre2 = _Tp(0);
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (!__ok1 && __ok2)
            {
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre2 < __log_max)
                {
                  __pre1 = _Tp(0);
                  __pre2 = std::exp(__ln_pre2);
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else
            {
              __pre1 = _Tp(0);
              __pre2 = _Tp(0);
              std::__throw_runtime_error(("Underflow of gamma functions " "in __hyperg_reflect")
                                                                   );
            }

          const _Tp __F1 = __hyperg_series(__a, __b, _Tp(1) - __d,
                                           _Tp(1) - __x);
          const _Tp __F2 = __hyperg_series(__c - __a, __c - __b, _Tp(1) + __d,
                                           _Tp(1) - __x);

          const _Tp __F = __pre1 * __F1 + __pre2 * __F2;

          return __F;
        }
    }
# 728 "/opt/sutton/include/c++/9.0.0/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {

      const _Tp __a_nint = ::std::nearbyint(__a);
      const _Tp __b_nint = ::std::nearbyint(__b);
      const _Tp __c_nint = ::std::nearbyint(__c);





      const _Tp __toler = _Tp(1000) * std::numeric_limits<_Tp>::epsilon();
      if (std::abs(__x) >= _Tp(1))
        std::__throw_domain_error(("Argument outside unit circle " "in __hyperg.")
                                                     );
      else if (__isnan(__a) || __isnan(__b)
            || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__c - __b) < __toler || std::abs(__c - __a) < __toler)
        return std::pow(_Tp(1) - __x, __c - __a - __b);
      else if (__a >= _Tp(0) && __b >= _Tp(0) && __c >= _Tp(0)
            && __x >= _Tp(0) && __x < _Tp(0.995L))
        return __hyperg_series(__a, __b, __c, __x);
      else if (std::abs(__a) < _Tp(10) && std::abs(__b) < _Tp(10))
        {


          if (__a < _Tp(0) && std::abs(__a - __a_nint) < __toler)
            return __hyperg_series(__a_nint, __b, __c, __x);
          else if (__b < _Tp(0) && std::abs(__b - __b_nint) < __toler)
            return __hyperg_series(__a, __b_nint, __c, __x);
          else if (__x < -_Tp(0.25L))
            return __hyperg_luke(__a, __b, __c, __x);
          else if (__x < _Tp(0.5L))
            return __hyperg_series(__a, __b, __c, __x);
          else
            if (std::abs(__c) > _Tp(10))
              return __hyperg_series(__a, __b, __c, __x);
            else
              return __hyperg_reflect(__a, __b, __c, __x);
        }
      else
        return __hyperg_luke(__a, __b, __c, __x);
    }
  }






}
# 55 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 1 3
# 49 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 3
  namespace __detail
  {
# 80 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_legendre_p(unsigned int __l, _Tp __x)
    {

      if ((__x < _Tp(-1)) || (__x > _Tp(+1)))
        std::__throw_domain_error(("Argument out of range" " in __poly_legendre_p.")
                                                               );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == +_Tp(1))
        return +_Tp(1);
      else if (__x == -_Tp(1))
        return (__l % 2 == 1 ? -_Tp(1) : +_Tp(1));
      else
        {
          _Tp __p_lm2 = _Tp(1);
          if (__l == 0)
            return __p_lm2;

          _Tp __p_lm1 = __x;
          if (__l == 1)
            return __p_lm1;

          _Tp __p_l = 0;
          for (unsigned int __ll = 2; __ll <= __l; ++__ll)
            {


              __p_l = _Tp(2) * __x * __p_lm1 - __p_lm2
                    - (__x * __p_lm1 - __p_lm2) / _Tp(__ll);
              __p_lm2 = __p_lm1;
              __p_lm1 = __p_l;
            }

          return __p_l;
        }
    }
# 139 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __assoc_legendre_p(unsigned int __l, unsigned int __m, _Tp __x,
         _Tp __phase = _Tp(+1))
    {

      if (__x < _Tp(-1) || __x > _Tp(+1))
        std::__throw_domain_error(("Argument out of range" " in __assoc_legendre_p.")
                                                                );
      else if (__m > __l)
        std::__throw_domain_error(("Degree out of range" " in __assoc_legendre_p.")
                                                                );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__m == 0)
        return __poly_legendre_p(__l, __x);
      else
        {
          _Tp __p_mm = _Tp(1);
          if (__m > 0)
            {


              _Tp __root = std::sqrt(_Tp(1) - __x) * std::sqrt(_Tp(1) + __x);
              _Tp __fact = _Tp(1);
              for (unsigned int __i = 1; __i <= __m; ++__i)
                {
                  __p_mm *= __phase * __fact * __root;
                  __fact += _Tp(2);
                }
            }
          if (__l == __m)
            return __p_mm;

          _Tp __p_mp1m = _Tp(2 * __m + 1) * __x * __p_mm;
          if (__l == __m + 1)
            return __p_mp1m;

          _Tp __p_lm2m = __p_mm;
          _Tp __P_lm1m = __p_mp1m;
          _Tp __p_lm = _Tp(0);
          for (unsigned int __j = __m + 2; __j <= __l; ++__j)
            {
              __p_lm = (_Tp(2 * __j - 1) * __x * __P_lm1m
                      - _Tp(__j + __m - 1) * __p_lm2m) / _Tp(__j - __m);
              __p_lm2m = __P_lm1m;
              __P_lm1m = __p_lm;
            }

          return __p_lm;
        }
    }
# 221 "/opt/sutton/include/c++/9.0.0/tr1/legendre_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      if (__isnan(__theta))
        return std::numeric_limits<_Tp>::quiet_NaN();

      const _Tp __x = std::cos(__theta);

      if (__l < __m)
        {
          std::__throw_domain_error(("Bad argument " "in __sph_legendre.")
                                                             );
        }
      else if (__m == 0)
        {
          _Tp __P = __poly_legendre_p(__l, __x);
          _Tp __fact = std::sqrt(_Tp(2 * __l + 1)
                     / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          __P *= __fact;
          return __P;
        }
      else if (__x == _Tp(1) || __x == -_Tp(1))
        {

          return _Tp(0);
        }
      else
        {





          const _Tp __sgn = ( __m % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __y_mp1m_factor = __x * std::sqrt(_Tp(2 * __m + 3));

          const _Tp __lncirc = ::std::log1p(-__x * __x);





          const _Tp __lnpoch = ::std::lgamma(_Tp(__m + _Tp(0.5L)))
                             - ::std::lgamma(_Tp(__m));




          const _Tp __lnpre_val =
                    -_Tp(0.25L) * __numeric_constants<_Tp>::__lnpi()
                    + _Tp(0.5L) * (__lnpoch + __m * __lncirc);
          const _Tp __sr = std::sqrt((_Tp(2) + _Tp(1) / __m)
                         / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          _Tp __y_mm = __sgn * __sr * std::exp(__lnpre_val);
          _Tp __y_mp1m = __y_mp1m_factor * __y_mm;

          if (__l == __m)
            return __y_mm;
          else if (__l == __m + 1)
            return __y_mp1m;
          else
            {
              _Tp __y_lm = _Tp(0);


              for (unsigned int __ll = __m + 2; __ll <= __l; ++__ll)
                {
                  const _Tp __rat1 = _Tp(__ll - __m) / _Tp(__ll + __m);
                  const _Tp __rat2 = _Tp(__ll - __m - 1) / _Tp(__ll + __m - 1);
                  const _Tp __fact1 = std::sqrt(__rat1 * _Tp(2 * __ll + 1)
                                                       * _Tp(2 * __ll - 1));
                  const _Tp __fact2 = std::sqrt(__rat1 * __rat2 * _Tp(2 * __ll + 1)
                                                                / _Tp(2 * __ll - 3));
                  __y_lm = (__x * __y_mp1m * __fact1
                         - (__ll + __m - 1) * __y_mm * __fact2) / _Tp(__ll - __m);
                  __y_mm = __y_mp1m;
                  __y_mp1m = __y_lm;
                }

              return __y_lm;
            }
        }
    }
  }






}
# 56 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 1 3
# 51 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
  namespace __detail
  {
# 83 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __bessel_ik(_Tp __nu, _Tp __x,
                _Tp & __Inu, _Tp & __Knu, _Tp & __Ipnu, _Tp & __Kpnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Inu = _Tp(1);
              __Ipnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0.5L);
            }
          else
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0);
            }
          __Knu = std::numeric_limits<_Tp>::infinity();
          __Kpnu = -std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = _Tp(10) * std::numeric_limits<_Tp>::epsilon();
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = static_cast<int>(__nu + _Tp(0.5L));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __h = __nu * __xi;
      if ( __h < __fp_min )
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for ( __i = 1; __i <= __max_iter; ++__i )
        {
          __b += __xi2;
          __d = _Tp(1) / (__b + __d);
          __c = __b + _Tp(1) / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large " "in __bessel_ik; " "try asymptotic expansion.")

                                                                   );
      _Tp __Inul = __fp_min;
      _Tp __Ipnul = __h * __Inul;
      _Tp __Inul1 = __Inul;
      _Tp __Ipnu1 = __Ipnul;
      _Tp __fact = __nu * __xi;
      for (int __l = __nl; __l >= 1; --__l)
        {
          const _Tp __Inutemp = __fact * __Inul + __Ipnul;
          __fact -= __xi;
          __Ipnul = __fact * __Inutemp + __Inul;
          __Inul = __Inutemp;
        }
      _Tp __f = __Ipnul / __Inul;
      _Tp __Kmu, __Knu1;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          const _Tp __fact = (std::abs(__pimu) < __eps
                            ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          const _Tp __fact2 = (std::abs(__e) < __eps
                            ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = __fact
                   * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          _Tp __sum = __ff;
          __e = std::exp(__e);
          _Tp __p = __e / (_Tp(2) * __gampl);
          _Tp __q = _Tp(1) / (_Tp(2) * __e * __gammi);
          _Tp __c = _Tp(1);
          __d = __x2 * __x2;
          _Tp __sum1 = __p;
          int __i;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / __i;
              __p /= __i - __mu;
              __q /= __i + __mu;
              const _Tp __del = __c * __ff;
              __sum += __del;
              const _Tp __del1 = __c * (__p - __i * __ff);
              __sum1 += __del1;
              if (std::abs(__del) < __eps * std::abs(__sum))
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Bessel k series failed to converge " "in __bessel_ik.")
                                                             );
          __Kmu = __sum;
          __Knu1 = __sum1 * __xi2;
        }
      else
        {
          _Tp __b = _Tp(2) * (_Tp(1) + __x);
          _Tp __d = _Tp(1) / __b;
          _Tp __delh = __d;
          _Tp __h = __delh;
          _Tp __q1 = _Tp(0);
          _Tp __q2 = _Tp(1);
          _Tp __a1 = _Tp(0.25L) - __mu2;
          _Tp __q = __c = __a1;
          _Tp __a = -__a1;
          _Tp __s = _Tp(1) + __q * __delh;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a -= 2 * (__i - 1);
              __c = -__a * __c / __i;
              const _Tp __qnew = (__q1 - __b * __q2) / __a;
              __q1 = __q2;
              __q2 = __qnew;
              __q += __c * __qnew;
              __b += _Tp(2);
              __d = _Tp(1) / (__b + __a * __d);
              __delh = (__b * __d - _Tp(1)) * __delh;
              __h += __delh;
              const _Tp __dels = __q * __delh;
              __s += __dels;
              if ( std::abs(__dels / __s) < __eps )
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Steed's method failed " "in __bessel_ik.")
                                                             );
          __h = __a1 * __h;
          __Kmu = std::sqrt(__numeric_constants<_Tp>::__pi() / (_Tp(2) * __x))
                * std::exp(-__x) / __s;
          __Knu1 = __Kmu * (__mu + __x + _Tp(0.5L) - __h) * __xi;
        }

      _Tp __Kpmu = __mu * __xi * __Kmu - __Knu1;
      _Tp __Inumu = __xi / (__f * __Kmu - __Kpmu);
      __Inu = __Inumu * __Inul1 / __Inul;
      __Ipnu = __Inumu * __Ipnu1 / __Inul;
      for ( __i = 1; __i <= __nl; ++__i )
        {
          const _Tp __Knutemp = (__mu + __i) * __xi2 * __Knu1 + __Kmu;
          __Kmu = __Knu1;
          __Knu1 = __Knutemp;
        }
      __Knu = __Kmu;
      __Kpnu = __nu * __xi * __Kmu - __Knu1;

      return;
    }
# 267 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_i(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_i.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, +_Tp(1), 200);
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __I_nu;
        }
    }
# 303 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_k(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_k.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __K_nu;
        }
    }
# 337 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_ik(unsigned int __n, _Tp __x,
                    _Tp & __i_n, _Tp & __k_n, _Tp & __ip_n, _Tp & __kp_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
      __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __i_n = __factor * __I_nu;
      __k_n = __factor * __K_nu;
      __ip_n = __factor * __Ip_nu - __i_n / (_Tp(2) * __x);
      __kp_n = __factor * __Kp_nu - __k_n / (_Tp(2) * __x);

      return;
    }
# 373 "/opt/sutton/include/c++/9.0.0/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __airy(_Tp __x, _Tp & __Ai, _Tp & __Bi, _Tp & __Aip, _Tp & __Bip)
    {
      const _Tp __absx = std::abs(__x);
      const _Tp __rootx = std::sqrt(__absx);
      const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
      const _Tp _S_NaN = std::numeric_limits<_Tp>::quiet_NaN();
      const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();

      if (__isnan(__x))
        __Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
      else if (__z == _S_inf)
        {
   __Aip = __Ai = _Tp(0);
   __Bip = __Bi = _S_inf;
 }
      else if (__z == -_S_inf)
 __Bip = __Aip = __Bi = __Ai = _Tp(0);
      else if (__x > _Tp(0))
        {
          _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;

          __bessel_ik(_Tp(1) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Ai = __rootx * __K_nu
               / (__numeric_constants<_Tp>::__sqrt3()
                * __numeric_constants<_Tp>::__pi());
          __Bi = __rootx * (__K_nu / __numeric_constants<_Tp>::__pi()
                 + _Tp(2) * __I_nu / __numeric_constants<_Tp>::__sqrt3());

          __bessel_ik(_Tp(2) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Aip = -__x * __K_nu
                / (__numeric_constants<_Tp>::__sqrt3()
                 * __numeric_constants<_Tp>::__pi());
          __Bip = __x * (__K_nu / __numeric_constants<_Tp>::__pi()
                      + _Tp(2) * __I_nu
                      / __numeric_constants<_Tp>::__sqrt3());
        }
      else if (__x < _Tp(0))
        {
          _Tp __J_nu, __Jp_nu, __N_nu, __Np_nu;

          __bessel_jn(_Tp(1) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Ai = __rootx * (__J_nu
                    - __N_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);
          __Bi = -__rootx * (__N_nu
                    + __J_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);

          __bessel_jn(_Tp(2) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Aip = __absx * (__N_nu / __numeric_constants<_Tp>::__sqrt3()
                          + __J_nu) / _Tp(2);
          __Bip = __absx * (__J_nu / __numeric_constants<_Tp>::__sqrt3()
                          - __N_nu) / _Tp(2);
        }
      else
        {



          __Ai = _Tp(0.35502805388781723926L);
          __Bi = __Ai * __numeric_constants<_Tp>::__sqrt3();




          __Aip = -_Tp(0.25881940379280679840L);
          __Bip = -__Aip * __numeric_constants<_Tp>::__sqrt3();
        }

      return;
    }
  }





}
# 57 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/poly_hermite.tcc" 1 3
# 42 "/opt/sutton/include/c++/9.0.0/tr1/poly_hermite.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 56 "/opt/sutton/include/c++/9.0.0/tr1/poly_hermite.tcc" 3
  namespace __detail
  {
# 72 "/opt/sutton/include/c++/9.0.0/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_hermite_recursion(unsigned int __n, _Tp __x)
    {

      _Tp __H_0 = 1;
      if (__n == 0)
        return __H_0;


      _Tp __H_1 = 2 * __x;
      if (__n == 1)
        return __H_1;


      _Tp __H_n, __H_nm1, __H_nm2;
      unsigned int __i;
      for (__H_nm2 = __H_0, __H_nm1 = __H_1, __i = 2; __i <= __n; ++__i)
        {
          __H_n = 2 * (__x * __H_nm1 - (__i - 1) * __H_nm2);
          __H_nm2 = __H_nm1;
          __H_nm1 = __H_n;
        }

      return __H_n;
    }
# 114 "/opt/sutton/include/c++/9.0.0/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    inline _Tp
    __poly_hermite(unsigned int __n, _Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __poly_hermite_recursion(__n, __x);
    }
  }





}
# 58 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 1 3
# 44 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
  namespace __detail
  {
# 75 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_large_n(unsigned __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __a = -_Tp(__n);
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __eta = _Tp(2) * __b - _Tp(4) * __a;
      const _Tp __cos2th = __x / __eta;
      const _Tp __sin2th = _Tp(1) - __cos2th;
      const _Tp __th = std::acos(std::sqrt(__cos2th));
      const _Tp __pre_h = __numeric_constants<_Tp>::__pi_2()
                        * __numeric_constants<_Tp>::__pi_2()
                        * __eta * __eta * __cos2th * __sin2th;


      const _Tp __lg_b = ::std::lgamma(_Tp(__n) + __b);
      const _Tp __lnfact = ::std::lgamma(_Tp(__n + 1));





      _Tp __pre_term1 = _Tp(0.5L) * (_Tp(1) - __b)
                      * std::log(_Tp(0.25L) * __x * __eta);
      _Tp __pre_term2 = _Tp(0.25L) * std::log(__pre_h);
      _Tp __lnpre = __lg_b - __lnfact + _Tp(0.5L) * __x
                      + __pre_term1 - __pre_term2;
      _Tp __ser_term1 = std::sin(__a * __numeric_constants<_Tp>::__pi());
      _Tp __ser_term2 = std::sin(_Tp(0.25L) * __eta
                              * (_Tp(2) * __th
                               - std::sin(_Tp(2) * __th))
                               + __numeric_constants<_Tp>::__pi_4());
      _Tp __ser = __ser_term1 + __ser_term2;

      return std::exp(__lnpre) * __ser;
    }
# 129 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_hyperg(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __mx = -__x;
      const _Tp __tc_sgn = (__x < _Tp(0) ? _Tp(1)
                         : ((__n % 2 == 1) ? -_Tp(1) : _Tp(1)));

      _Tp __tc = _Tp(1);
      const _Tp __ax = std::abs(__x);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __tc *= (__ax / __k);

      _Tp __term = __tc * __tc_sgn;
      _Tp __sum = __term;
      for (int __k = int(__n) - 1; __k >= 0; --__k)
        {
          __term *= ((__b + _Tp(__k)) / _Tp(int(__n) - __k))
                  * _Tp(__k + 1) / __mx;
          __sum += __term;
        }

      return __sum;
    }
# 185 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_recursion(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {

      _Tp __l_0 = _Tp(1);
      if (__n == 0)
        return __l_0;


      _Tp __l_1 = -__x + _Tp(1) + _Tp(__alpha1);
      if (__n == 1)
        return __l_1;


      _Tp __l_n2 = __l_0;
      _Tp __l_n1 = __l_1;
      _Tp __l_n = _Tp(0);
      for (unsigned int __nn = 2; __nn <= __n; ++__nn)
        {
            __l_n = (_Tp(2 * __nn - 1) + _Tp(__alpha1) - __x)
                  * __l_n1 / _Tp(__nn)
                  - (_Tp(__nn - 1) + _Tp(__alpha1)) * __l_n2 / _Tp(__nn);
            __l_n2 = __l_n1;
            __l_n1 = __l_n;
        }

      return __l_n;
    }
# 244 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Negative argument " "in __poly_laguerre.")
                                                            );

      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n == 0)
        return _Tp(1);
      else if (__n == 1)
        return _Tp(1) + _Tp(__alpha1) - __x;
      else if (__x == _Tp(0))
        {
          _Tp __prod = _Tp(__alpha1) + _Tp(1);
          for (unsigned int __k = 2; __k <= __n; ++__k)
            __prod *= (_Tp(__alpha1) + _Tp(__k)) / _Tp(__k);
          return __prod;
        }
      else if (__n > 10000000 && _Tp(__alpha1) > -_Tp(1)
            && __x < _Tp(2) * (_Tp(__alpha1) + _Tp(1)) + _Tp(4 * __n))
        return __poly_laguerre_large_n(__n, __alpha1, __x);
      else if (_Tp(__alpha1) >= _Tp(0)
           || (__x > _Tp(0) && _Tp(__alpha1) < -_Tp(__n + 1)))
        return __poly_laguerre_recursion(__n, __alpha1, __x);
      else
        return __poly_laguerre_hyperg(__n, __alpha1, __x);
    }
# 296 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, __m, __x); }
# 316 "/opt/sutton/include/c++/9.0.0/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __laguerre(unsigned int __n, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, 0, __x); }
  }






}
# 59 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 1 3
# 47 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 63 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
  namespace __detail
  {
# 78 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_sum(_Tp __s)
    {

      if (__s < _Tp(1))
        std::__throw_domain_error(("Bad argument in zeta sum."));

      const unsigned int max_iter = 10000;
      _Tp __zeta = _Tp(0);
      for (unsigned int __k = 1; __k < max_iter; ++__k)
        {
          _Tp __term = std::pow(static_cast<_Tp>(__k), -__s);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            {
              break;
            }
          __zeta += __term;
        }

      return __zeta;
    }
# 115 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_alt(_Tp __s)
    {
      _Tp __sgn = _Tp(1);
      _Tp __zeta = _Tp(0);
      for (unsigned int __i = 1; __i < 10000000; ++__i)
        {
          _Tp __term = __sgn / std::pow(__i, __s);
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __zeta += __term;
          __sgn *= _Tp(-1);
        }
      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 157 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_glob(_Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);



      if (__s < _Tp(0))
        {

          if (::std::fmod(__s,_Tp(2)) == _Tp(0))
            return _Tp(0);
          else

            {
              _Tp __zeta = __riemann_zeta_glob(_Tp(1) - __s);
              __zeta *= std::pow(_Tp(2)
                     * __numeric_constants<_Tp>::__pi(), __s)
                     * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                     * std::exp(::std::lgamma(_Tp(1) - __s))



                     / __numeric_constants<_Tp>::__pi();
              return __zeta;
            }
        }

      _Tp __num = _Tp(0.5L);
      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(1 + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term *= __num;
          __zeta += __term;
          if (std::abs(__term/__zeta) < __eps)
            break;
          __num *= _Tp(0.5L);
        }

      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 252 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_product(_Tp __s)
    {
      static const _Tp __prime[] = {
        _Tp(2), _Tp(3), _Tp(5), _Tp(7), _Tp(11), _Tp(13), _Tp(17), _Tp(19),
        _Tp(23), _Tp(29), _Tp(31), _Tp(37), _Tp(41), _Tp(43), _Tp(47),
        _Tp(53), _Tp(59), _Tp(61), _Tp(67), _Tp(71), _Tp(73), _Tp(79),
        _Tp(83), _Tp(89), _Tp(97), _Tp(101), _Tp(103), _Tp(107), _Tp(109)
      };
      static const unsigned int __num_primes = sizeof(__prime) / sizeof(_Tp);

      _Tp __zeta = _Tp(1);
      for (unsigned int __i = 0; __i < __num_primes; ++__i)
        {
          const _Tp __fact = _Tp(1) - std::pow(__prime[__i], -__s);
          __zeta *= __fact;
          if (_Tp(1) - __fact < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      __zeta = _Tp(1) / __zeta;

      return __zeta;
    }
# 293 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta(_Tp __s)
    {
      if (__isnan(__s))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__s == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (__s < -_Tp(19))
        {
          _Tp __zeta = __riemann_zeta_product(_Tp(1) - __s);
          __zeta *= std::pow(_Tp(2) * __numeric_constants<_Tp>::__pi(), __s)
                 * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                 * std::exp(::std::lgamma(_Tp(1) - __s))



                 / __numeric_constants<_Tp>::__pi();
          return __zeta;
        }
      else if (__s < _Tp(20))
        {

          bool __glob = true;
          if (__glob)
            return __riemann_zeta_glob(__s);
          else
            {
              if (__s > _Tp(1))
                return __riemann_zeta_sum(__s);
              else
                {
                  _Tp __zeta = std::pow(_Tp(2)
                                * __numeric_constants<_Tp>::__pi(), __s)
                         * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                             * ::std::tgamma(_Tp(1) - __s)



                             * __riemann_zeta_sum(_Tp(1) - __s);
                  return __zeta;
                }
            }
        }
      else
        return __riemann_zeta_product(__s);
    }
# 365 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __hurwitz_zeta_glob(_Tp __a, _Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);

      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(__a + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term /= _Tp(__i + 1);
          if (std::abs(__term / __zeta) < __eps)
            break;
          __zeta += __term;
        }

      __zeta /= __s - _Tp(1);

      return __zeta;
    }
# 430 "/opt/sutton/include/c++/9.0.0/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    inline _Tp
    __hurwitz_zeta(_Tp __a, _Tp __s)
    { return __hurwitz_zeta_glob(__a, __s); }
  }






}
# 60 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 2 3

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

# 205 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
  { return __detail::__assoc_laguerre<float>(__n, __m, __x); }







  inline long double
  assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
  { return __detail::__assoc_laguerre<long double>(__n, __m, __x); }
# 250 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_laguerre<__type>(__n, __m, __x);
    }
# 266 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  assoc_legendref(unsigned int __l, unsigned int __m, float __x)
  { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }






  inline long double
  assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
  { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
# 296 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
    }
# 311 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  betaf(float __a, float __b)
  { return __detail::__beta<float>(__a, __b); }







  inline long double
  betal(long double __a, long double __b)
  { return __detail::__beta<long double>(__a, __b); }
# 341 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb>
    inline typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type
    beta(_Tpa __a, _Tpb __b)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type __type;
      return __detail::__beta<__type>(__a, __b);
    }
# 357 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  comp_ellint_1f(float __k)
  { return __detail::__comp_ellint_1<float>(__k); }







  inline long double
  comp_ellint_1l(long double __k)
  { return __detail::__comp_ellint_1<long double>(__k); }
# 389 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_1(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_1<__type>(__k);
    }
# 405 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  comp_ellint_2f(float __k)
  { return __detail::__comp_ellint_2<float>(__k); }







  inline long double
  comp_ellint_2l(long double __k)
  { return __detail::__comp_ellint_2<long double>(__k); }
# 436 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_2(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_2<__type>(__k);
    }
# 452 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  comp_ellint_3f(float __k, float __nu)
  { return __detail::__comp_ellint_3<float>(__k, __nu); }







  inline long double
  comp_ellint_3l(long double __k, long double __nu)
  { return __detail::__comp_ellint_3<long double>(__k, __nu); }
# 487 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
    comp_ellint_3(_Tp __k, _Tpn __nu)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
      return __detail::__comp_ellint_3<__type>(__k, __nu);
    }
# 503 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  cyl_bessel_if(float __nu, float __x)
  { return __detail::__cyl_bessel_i<float>(__nu, __x); }







  inline long double
  cyl_bessel_il(long double __nu, long double __x)
  { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
# 533 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_i(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_i<__type>(__nu, __x);
    }
# 549 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  cyl_bessel_jf(float __nu, float __x)
  { return __detail::__cyl_bessel_j<float>(__nu, __x); }







  inline long double
  cyl_bessel_jl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
# 579 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_j(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_j<__type>(__nu, __x);
    }
# 595 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  cyl_bessel_kf(float __nu, float __x)
  { return __detail::__cyl_bessel_k<float>(__nu, __x); }







  inline long double
  cyl_bessel_kl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
# 631 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_k(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_k<__type>(__nu, __x);
    }
# 647 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  cyl_neumannf(float __nu, float __x)
  { return __detail::__cyl_neumann_n<float>(__nu, __x); }







  inline long double
  cyl_neumannl(long double __nu, long double __x)
  { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
# 679 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_neumann(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_neumann_n<__type>(__nu, __x);
    }
# 695 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  ellint_1f(float __k, float __phi)
  { return __detail::__ellint_1<float>(__k, __phi); }







  inline long double
  ellint_1l(long double __k, long double __phi)
  { return __detail::__ellint_1<long double>(__k, __phi); }
# 727 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_1(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_1<__type>(__k, __phi);
    }
# 743 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  ellint_2f(float __k, float __phi)
  { return __detail::__ellint_2<float>(__k, __phi); }







  inline long double
  ellint_2l(long double __k, long double __phi)
  { return __detail::__ellint_2<long double>(__k, __phi); }
# 775 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_2(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_2<__type>(__k, __phi);
    }
# 791 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  ellint_3f(float __k, float __nu, float __phi)
  { return __detail::__ellint_3<float>(__k, __nu, __phi); }







  inline long double
  ellint_3l(long double __k, long double __nu, long double __phi)
  { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
# 828 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn, typename _Tpp>
    inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
    ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
      return __detail::__ellint_3<__type>(__k, __nu, __phi);
    }
# 843 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  expintf(float __x)
  { return __detail::__expint<float>(__x); }







  inline long double
  expintl(long double __x)
  { return __detail::__expint<long double>(__x); }
# 868 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    expint(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__expint<__type>(__x);
    }
# 884 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  hermitef(unsigned int __n, float __x)
  { return __detail::__poly_hermite<float>(__n, __x); }







  inline long double
  hermitel(unsigned int __n, long double __x)
  { return __detail::__poly_hermite<long double>(__n, __x); }
# 916 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    hermite(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_hermite<__type>(__n, __x);
    }
# 932 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  laguerref(unsigned int __n, float __x)
  { return __detail::__laguerre<float>(__n, __x); }







  inline long double
  laguerrel(unsigned int __n, long double __x)
  { return __detail::__laguerre<long double>(__n, __x); }
# 960 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    laguerre(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__laguerre<__type>(__n, __x);
    }
# 976 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  legendref(unsigned int __l, float __x)
  { return __detail::__poly_legendre_p<float>(__l, __x); }







  inline long double
  legendrel(unsigned int __l, long double __x)
  { return __detail::__poly_legendre_p<long double>(__l, __x); }
# 1005 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    legendre(unsigned int __l, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_legendre_p<__type>(__l, __x);
    }
# 1021 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  riemann_zetaf(float __s)
  { return __detail::__riemann_zeta<float>(__s); }







  inline long double
  riemann_zetal(long double __s)
  { return __detail::__riemann_zeta<long double>(__s); }
# 1056 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    riemann_zeta(_Tp __s)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__riemann_zeta<__type>(__s);
    }
# 1072 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  sph_besself(unsigned int __n, float __x)
  { return __detail::__sph_bessel<float>(__n, __x); }







  inline long double
  sph_bessell(unsigned int __n, long double __x)
  { return __detail::__sph_bessel<long double>(__n, __x); }
# 1100 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_bessel(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_bessel<__type>(__n, __x);
    }
# 1116 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  sph_legendref(unsigned int __l, unsigned int __m, float __theta)
  { return __detail::__sph_legendre<float>(__l, __m, __theta); }
# 1127 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline long double
  sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
  { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
# 1147 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_legendre<__type>(__l, __m, __theta);
    }
# 1163 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  inline float
  sph_neumannf(unsigned int __n, float __x)
  { return __detail::__sph_neumann<float>(__n, __x); }







  inline long double
  sph_neumannl(unsigned int __n, long double __x)
  { return __detail::__sph_neumann<long double>(__n, __x); }
# 1191 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_neumann(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_neumann<__type>(__n, __x);
    }




}
# 1383 "/opt/sutton/include/c++/9.0.0/bits/specfun.h" 3
#pragma GCC visibility pop
# 1893 "/opt/sutton/include/c++/9.0.0/cmath" 2 3


}
# 2771 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3

namespace Catch {
namespace Matchers {

    namespace Floating {

        enum class FloatingPointKind : uint8_t;

        struct WithinAbsMatcher : MatcherBase<double> {
            WithinAbsMatcher(double target, double margin);
            bool match(double const& matchee) const override;
            std::string describe() const override;
        private:
            double m_target;
            double m_margin;
        };

        struct WithinUlpsMatcher : MatcherBase<double> {
            WithinUlpsMatcher(double target, int ulps, FloatingPointKind baseType);
            bool match(double const& matchee) const override;
            std::string describe() const override;
        private:
            double m_target;
            int m_ulps;
            FloatingPointKind m_type;
        };

    }



    Floating::WithinUlpsMatcher WithinULP(double target, int maxUlpDiff);
    Floating::WithinUlpsMatcher WithinULP(float target, int maxUlpDiff);
    Floating::WithinAbsMatcher WithinAbs(double target, double margin);

}
}




# 1 "/opt/sutton/include/c++/9.0.0/functional" 1 3
# 46 "/opt/sutton/include/c++/9.0.0/functional" 3
       
# 47 "/opt/sutton/include/c++/9.0.0/functional" 3
# 59 "/opt/sutton/include/c++/9.0.0/functional" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
# 47 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  class bad_function_call : public std::exception
  {
  public:
    virtual ~bad_function_call() noexcept;

    const char* what() const noexcept;
  };







  template<typename _Tp>
    struct __is_location_invariant
    : is_trivially_copyable<_Tp>::type
    { };

  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 [[gnu::may_alias]] _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 _Signature>
    class function;


  class _Function_base
  {
  public:
    static const size_t _M_max_size = sizeof(_Nocopy_types);
    static const 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)
 {
   if constexpr (__stored_locally)
     {
       const _Functor& __f = __source._M_access<_Functor>();
       return const_cast<_Functor*>(std::__addressof(__f));
     }
   else
     return __source._M_access<_Functor*>();
 }



 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<const _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(_Tp* __fp)
   { return __fp != nullptr; }

 template<typename _Class, typename _Tp>
   static bool
   _M_not_empty_function(_Tp _Class::* __mp)
   { return __mp != nullptr; }

 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)); }
      };

    _Function_base() : _M_manager(nullptr) { }

    ~_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 _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 std::__invoke(_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)
      {
 std::__invoke(_Base::_M_get_pointer(__functor)->__value,
        std::forward<_ArgTypes>(__args)...);
      }
    };

  template<typename _From, typename _To>
    using __check_func_return_type
      = __or_<is_void<_To>, is_same<_From, _To>, is_convertible<_From, _To>>;







  template<typename _Res, typename... _ArgTypes>
    class function<_Res(_ArgTypes...)>
    : public _Maybe_unary_or_binary_function<_Res, _ArgTypes...>,
      private _Function_base
    {
      template<typename _Func,
        typename _Res2 = typename result_of<_Func&(_ArgTypes...)>::type>
 struct _Callable : __check_func_return_type<_Res2, _Res> { };



      template<typename _Tp>
 struct _Callable<function, _Tp> : false_type { };

      template<typename _Cond, typename _Tp>
 using _Requires = typename enable_if<_Cond::value, _Tp>::type;

    public:
      typedef _Res result_type;







      function() noexcept
      : _Function_base() { }





      function(nullptr_t) noexcept
      : _Function_base() { }
# 416 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      function(const function& __x);
# 425 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      function(function&& __x) noexcept : _Function_base()
      {
 __x.swap(*this);
      }
# 446 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      template<typename _Functor,
        typename = _Requires<__not_<is_same<_Functor, function>>, void>,
        typename = _Requires<_Callable<_Functor>, void>>
 function(_Functor);
# 463 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      function&
      operator=(const function& __x)
      {
 function(__x).swap(*this);
 return *this;
      }
# 481 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      function&
      operator=(function&& __x) noexcept
      {
 function(std::move(__x)).swap(*this);
 return *this;
      }
# 495 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      function&
      operator=(nullptr_t) noexcept
      {
 if (_M_manager)
   {
     _M_manager(_M_functor, _M_functor, __destroy_functor);
     _M_manager = nullptr;
     _M_invoker = nullptr;
   }
 return *this;
      }
# 523 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      template<typename _Functor>
 _Requires<_Callable<typename decay<_Functor>::type>, function&>
 operator=(_Functor&& __f)
 {
   function(std::forward<_Functor>(__f)).swap(*this);
   return *this;
 }


      template<typename _Functor>
 function&
 operator=(reference_wrapper<_Functor> __f) noexcept
 {
   function(__f).swap(*this);
   return *this;
 }
# 549 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      void swap(function& __x) noexcept
      {
 std::swap(_M_functor, __x._M_functor);
 std::swap(_M_manager, __x._M_manager);
 std::swap(_M_invoker, __x._M_invoker);
      }
# 566 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      explicit operator bool() const noexcept
      { return !_M_empty(); }
# 579 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      _Res operator()(_ArgTypes... __args) const;
# 592 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      const type_info& target_type() const noexcept;
# 605 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
      template<typename _Functor> _Functor* target() noexcept;

      template<typename _Functor> const _Functor* target() const noexcept;



    private:
      using _Invoker_type = _Res (*)(const _Any_data&, _ArgTypes&&...);
      _Invoker_type _M_invoker;
  };


  template<typename>
    struct __function_guide_helper
    { };

  template<typename _Res, typename _Tp, bool _Nx, typename... _Args>
    struct __function_guide_helper<
      _Res (_Tp::*) (_Args...) noexcept(_Nx)
    >
    { using type = _Res(_Args...); };

  template<typename _Res, typename _Tp, bool _Nx, typename... _Args>
    struct __function_guide_helper<
      _Res (_Tp::*) (_Args...) & noexcept(_Nx)
    >
    { using type = _Res(_Args...); };

  template<typename _Res, typename _Tp, bool _Nx, typename... _Args>
    struct __function_guide_helper<
      _Res (_Tp::*) (_Args...) const noexcept(_Nx)
    >
    { using type = _Res(_Args...); };

  template<typename _Res, typename _Tp, bool _Nx, typename... _Args>
    struct __function_guide_helper<
      _Res (_Tp::*) (_Args...) const & noexcept(_Nx)
    >
    { using type = _Res(_Args...); };

  template<typename _Res, typename... _ArgTypes>
    function(_Res(*)(_ArgTypes...)) -> function<_Res(_ArgTypes...)>;

  template<typename _Functor, typename _Signature = typename
    __function_guide_helper<decltype(&_Functor::operator())>::type>
    function(_Functor) -> function<_Signature>;



  template<typename _Res, typename... _ArgTypes>
    function<_Res(_ArgTypes...)>::
    function(const function& __x)
    : _Function_base()
    {
      if (static_cast<bool>(__x))
 {
   __x._M_manager(_M_functor, __x._M_functor, __clone_functor);
   _M_invoker = __x._M_invoker;
   _M_manager = __x._M_manager;
 }
    }

  template<typename _Res, typename... _ArgTypes>
    template<typename _Functor, typename, typename>
      function<_Res(_ArgTypes...)>::
      function(_Functor __f)
      : _Function_base()
      {
 typedef _Function_handler<_Res(_ArgTypes...), _Functor> _My_handler;

 if (_My_handler::_M_not_empty_function(__f))
   {
     _My_handler::_M_init_functor(_M_functor, std::move(__f));
     _M_invoker = &_My_handler::_M_invoke;
     _M_manager = &_My_handler::_M_manager;
   }
      }

  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
      {
 const function* __const_this = this;
 const _Functor* __func = __const_this->template target<_Functor>();
 return const_cast<_Functor*>(__func);
      }

  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 nullptr;
      }
# 746 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
  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); }
# 764 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
  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); }
# 785 "/opt/sutton/include/c++/9.0.0/bits/std_function.h" 3
  template<typename _Res, typename... _Args>
    inline void
    swap(function<_Res(_Args...)>& __x, function<_Res(_Args...)>& __y) noexcept
    { __x.swap(__y); }


}
# 60 "/opt/sutton/include/c++/9.0.0/functional" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/unordered_map" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/unordered_map" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/unordered_map" 3
# 46 "/opt/sutton/include/c++/9.0.0/unordered_map" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 1 3
# 38 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    class _Hashtable;

namespace __detail
{





  template<typename _Key, typename _Value,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _Traits>
    struct _Hashtable_base;



  template<class _Iterator>
    inline typename std::iterator_traits<_Iterator>::difference_type
    __distance_fw(_Iterator __first, _Iterator __last,
    std::input_iterator_tag)
    { return __first != __last ? 1 : 0; }

  template<class _Iterator>
    inline typename std::iterator_traits<_Iterator>::difference_type
    __distance_fw(_Iterator __first, _Iterator __last,
    std::forward_iterator_tag)
    { return std::distance(__first, __last); }

  template<class _Iterator>
    inline typename std::iterator_traits<_Iterator>::difference_type
    __distance_fw(_Iterator __first, _Iterator __last)
    { return __distance_fw(__first, __last,
      std::__iterator_category(__first)); }

  struct _Identity
  {
    template<typename _Tp>
      _Tp&&
      operator()(_Tp&& __x) const
      { return std::forward<_Tp>(__x); }
  };

  struct _Select1st
  {
    template<typename _Tp>
      auto
      operator()(_Tp&& __x) const
      -> decltype(std::get<0>(std::forward<_Tp>(__x)))
      { return std::get<0>(std::forward<_Tp>(__x)); }
  };

  template<typename _NodeAlloc>
    struct _Hashtable_alloc;



  template<typename _NodeAlloc>
    struct _ReuseOrAllocNode
    {
    private:
      using __node_alloc_type = _NodeAlloc;
      using __hashtable_alloc = _Hashtable_alloc<__node_alloc_type>;
      using __node_alloc_traits =
 typename __hashtable_alloc::__node_alloc_traits;
      using __node_type = typename __hashtable_alloc::__node_type;

    public:
      _ReuseOrAllocNode(__node_type* __nodes, __hashtable_alloc& __h)
 : _M_nodes(__nodes), _M_h(__h) { }
      _ReuseOrAllocNode(const _ReuseOrAllocNode&) = delete;

      ~_ReuseOrAllocNode()
      { _M_h._M_deallocate_nodes(_M_nodes); }

      template<typename _Arg>
 __node_type*
 operator()(_Arg&& __arg) const
 {
   if (_M_nodes)
     {
       __node_type* __node = _M_nodes;
       _M_nodes = _M_nodes->_M_next();
       __node->_M_nxt = nullptr;
       auto& __a = _M_h._M_node_allocator();
       __node_alloc_traits::destroy(__a, __node->_M_valptr());
       try
  {
    __node_alloc_traits::construct(__a, __node->_M_valptr(),
       std::forward<_Arg>(__arg));
  }
       catch(...)
  {
    __node->~__node_type();
    __node_alloc_traits::deallocate(__a, __node, 1);
    throw;
  }
       return __node;
     }
   return _M_h._M_allocate_node(std::forward<_Arg>(__arg));
 }

    private:
      mutable __node_type* _M_nodes;
      __hashtable_alloc& _M_h;
    };



  template<typename _NodeAlloc>
    struct _AllocNode
    {
    private:
      using __hashtable_alloc = _Hashtable_alloc<_NodeAlloc>;
      using __node_type = typename __hashtable_alloc::__node_type;

    public:
      _AllocNode(__hashtable_alloc& __h)
 : _M_h(__h) { }

      template<typename _Arg>
 __node_type*
 operator()(_Arg&& __arg) const
 { return _M_h._M_allocate_node(std::forward<_Arg>(__arg)); }

    private:
      __hashtable_alloc& _M_h;
    };
# 199 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  template<bool _Cache_hash_code, bool _Constant_iterators, bool _Unique_keys>
    struct _Hashtable_traits
    {
      using __hash_cached = __bool_constant<_Cache_hash_code>;
      using __constant_iterators = __bool_constant<_Constant_iterators>;
      using __unique_keys = __bool_constant<_Unique_keys>;
    };
# 215 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  struct _Hash_node_base
  {
    _Hash_node_base* _M_nxt;

    _Hash_node_base() noexcept : _M_nxt() { }

    _Hash_node_base(_Hash_node_base* __next) noexcept : _M_nxt(__next) { }
  };






  template<typename _Value>
    struct _Hash_node_value_base : _Hash_node_base
    {
      typedef _Value value_type;

      __gnu_cxx::__aligned_buffer<_Value> _M_storage;

      _Value*
      _M_valptr() noexcept
      { return _M_storage._M_ptr(); }

      const _Value*
      _M_valptr() const noexcept
      { return _M_storage._M_ptr(); }

      _Value&
      _M_v() noexcept
      { return *_M_valptr(); }

      const _Value&
      _M_v() const noexcept
      { return *_M_valptr(); }
    };




  template<typename _Value, bool _Cache_hash_code>
    struct _Hash_node;






  template<typename _Value>
    struct _Hash_node<_Value, true> : _Hash_node_value_base<_Value>
    {
      std::size_t _M_hash_code;

      _Hash_node*
      _M_next() const noexcept
      { return static_cast<_Hash_node*>(this->_M_nxt); }
    };






  template<typename _Value>
    struct _Hash_node<_Value, false> : _Hash_node_value_base<_Value>
    {
      _Hash_node*
      _M_next() const noexcept
      { return static_cast<_Hash_node*>(this->_M_nxt); }
    };


  template<typename _Value, bool _Cache_hash_code>
    struct _Node_iterator_base
    {
      using __node_type = _Hash_node<_Value, _Cache_hash_code>;

      __node_type* _M_cur;

      _Node_iterator_base(__node_type* __p) noexcept
      : _M_cur(__p) { }

      void
      _M_incr() noexcept
      { _M_cur = _M_cur->_M_next(); }
    };

  template<typename _Value, bool _Cache_hash_code>
    inline bool
    operator==(const _Node_iterator_base<_Value, _Cache_hash_code>& __x,
        const _Node_iterator_base<_Value, _Cache_hash_code >& __y)
    noexcept
    { return __x._M_cur == __y._M_cur; }

  template<typename _Value, bool _Cache_hash_code>
    inline bool
    operator!=(const _Node_iterator_base<_Value, _Cache_hash_code>& __x,
        const _Node_iterator_base<_Value, _Cache_hash_code>& __y)
    noexcept
    { return __x._M_cur != __y._M_cur; }


  template<typename _Value, bool __constant_iterators, bool __cache>
    struct _Node_iterator
    : public _Node_iterator_base<_Value, __cache>
    {
    private:
      using __base_type = _Node_iterator_base<_Value, __cache>;
      using __node_type = typename __base_type::__node_type;

    public:
      typedef _Value value_type;
      typedef std::ptrdiff_t difference_type;
      typedef std::forward_iterator_tag iterator_category;

      using pointer = typename std::conditional<__constant_iterators,
      const _Value*, _Value*>::type;

      using reference = typename std::conditional<__constant_iterators,
        const _Value&, _Value&>::type;

      _Node_iterator() noexcept
      : __base_type(0) { }

      explicit
      _Node_iterator(__node_type* __p) noexcept
      : __base_type(__p) { }

      reference
      operator*() const noexcept
      { return this->_M_cur->_M_v(); }

      pointer
      operator->() const noexcept
      { return this->_M_cur->_M_valptr(); }

      _Node_iterator&
      operator++() noexcept
      {
 this->_M_incr();
 return *this;
      }

      _Node_iterator
      operator++(int) noexcept
      {
 _Node_iterator __tmp(*this);
 this->_M_incr();
 return __tmp;
      }
    };


  template<typename _Value, bool __constant_iterators, bool __cache>
    struct _Node_const_iterator
    : public _Node_iterator_base<_Value, __cache>
    {
    private:
      using __base_type = _Node_iterator_base<_Value, __cache>;
      using __node_type = typename __base_type::__node_type;

    public:
      typedef _Value value_type;
      typedef std::ptrdiff_t difference_type;
      typedef std::forward_iterator_tag iterator_category;

      typedef const _Value* pointer;
      typedef const _Value& reference;

      _Node_const_iterator() noexcept
      : __base_type(0) { }

      explicit
      _Node_const_iterator(__node_type* __p) noexcept
      : __base_type(__p) { }

      _Node_const_iterator(const _Node_iterator<_Value, __constant_iterators,
      __cache>& __x) noexcept
      : __base_type(__x._M_cur) { }

      reference
      operator*() const noexcept
      { return this->_M_cur->_M_v(); }

      pointer
      operator->() const noexcept
      { return this->_M_cur->_M_valptr(); }

      _Node_const_iterator&
      operator++() noexcept
      {
 this->_M_incr();
 return *this;
      }

      _Node_const_iterator
      operator++(int) noexcept
      {
 _Node_const_iterator __tmp(*this);
 this->_M_incr();
 return __tmp;
      }
    };






  struct _Mod_range_hashing
  {
    typedef std::size_t first_argument_type;
    typedef std::size_t second_argument_type;
    typedef std::size_t result_type;

    result_type
    operator()(first_argument_type __num,
        second_argument_type __den) const noexcept
    { return __num % __den; }
  };






  struct _Default_ranged_hash { };



  struct _Prime_rehash_policy
  {
    using __has_load_factor = std::true_type;

    _Prime_rehash_policy(float __z = 1.0) noexcept
    : _M_max_load_factor(__z), _M_next_resize(0) { }

    float
    max_load_factor() const noexcept
    { return _M_max_load_factor; }


    std::size_t
    _M_next_bkt(std::size_t __n) const;


    std::size_t
    _M_bkt_for_elements(std::size_t __n) const
    { return __builtin_ceil(__n / (long double)_M_max_load_factor); }





    std::pair<bool, std::size_t>
    _M_need_rehash(std::size_t __n_bkt, std::size_t __n_elt,
     std::size_t __n_ins) const;

    typedef std::size_t _State;

    _State
    _M_state() const
    { return _M_next_resize; }

    void
    _M_reset() noexcept
    { _M_next_resize = 0; }

    void
    _M_reset(_State __state)
    { _M_next_resize = __state; }

    static const std::size_t _S_growth_factor = 2;

    float _M_max_load_factor;
    mutable std::size_t _M_next_resize;
  };


  struct _Mask_range_hashing
  {
    typedef std::size_t first_argument_type;
    typedef std::size_t second_argument_type;
    typedef std::size_t result_type;

    result_type
    operator()(first_argument_type __num,
        second_argument_type __den) const noexcept
    { return __num & (__den - 1); }
  };


  inline std::size_t
  __clp2(std::size_t __n) noexcept
  {

    if (__n < 2)
      return __n;
    const unsigned __lz = sizeof(size_t) > sizeof(long)
      ? __builtin_clzll(__n - 1ull)
      : __builtin_clzl(__n - 1ul);

    return (size_t(1) << (numeric_limits<size_t>::digits - __lz - 1)) << 1;
  }



  struct _Power2_rehash_policy
  {
    using __has_load_factor = std::true_type;

    _Power2_rehash_policy(float __z = 1.0) noexcept
    : _M_max_load_factor(__z), _M_next_resize(0) { }

    float
    max_load_factor() const noexcept
    { return _M_max_load_factor; }



    std::size_t
    _M_next_bkt(std::size_t __n) noexcept
    {
      const auto __max_width = std::min<size_t>(sizeof(size_t), 8);
      const auto __max_bkt = size_t(1) << (__max_width * 8 - 1);
      std::size_t __res = __clp2(__n);

      if (__res == __n)
 __res <<= 1;

      if (__res == 0)
 __res = __max_bkt;

      if (__res == __max_bkt)



 _M_next_resize = std::size_t(-1);
      else
 _M_next_resize
   = __builtin_ceil(__res * (long double)_M_max_load_factor);

      return __res;
    }


    std::size_t
    _M_bkt_for_elements(std::size_t __n) const noexcept
    { return __builtin_ceil(__n / (long double)_M_max_load_factor); }





    std::pair<bool, std::size_t>
    _M_need_rehash(std::size_t __n_bkt, std::size_t __n_elt,
     std::size_t __n_ins) noexcept
    {
      if (__n_elt + __n_ins >= _M_next_resize)
 {
   long double __min_bkts = (__n_elt + __n_ins)
     / (long double)_M_max_load_factor;
   if (__min_bkts >= __n_bkt)
     return std::make_pair(true,
       _M_next_bkt(std::max<std::size_t>(__builtin_floor(__min_bkts) + 1,
      __n_bkt * _S_growth_factor)));

   _M_next_resize
     = __builtin_floor(__n_bkt * (long double)_M_max_load_factor);
   return std::make_pair(false, 0);
 }
      else
 return std::make_pair(false, 0);
    }

    typedef std::size_t _State;

    _State
    _M_state() const noexcept
    { return _M_next_resize; }

    void
    _M_reset() noexcept
    { _M_next_resize = 0; }

    void
    _M_reset(_State __state) noexcept
    { _M_next_resize = __state; }

    static const std::size_t _S_growth_factor = 2;

    float _M_max_load_factor;
    std::size_t _M_next_resize;
  };
# 629 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits,
    bool _Unique_keys = _Traits::__unique_keys::value>
    struct _Map_base { };


  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, false>
    {
      using mapped_type = typename std::tuple_element<1, _Pair>::type;
    };


  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>
    {
    private:
      using __hashtable_base = __detail::_Hashtable_base<_Key, _Pair,
        _Select1st,
       _Equal, _H1, _H2, _Hash,
         _Traits>;

      using __hashtable = _Hashtable<_Key, _Pair, _Alloc,
         _Select1st, _Equal,
         _H1, _H2, _Hash, _RehashPolicy, _Traits>;

      using __hash_code = typename __hashtable_base::__hash_code;
      using __node_type = typename __hashtable_base::__node_type;

    public:
      using key_type = typename __hashtable_base::key_type;
      using iterator = typename __hashtable_base::iterator;
      using mapped_type = typename std::tuple_element<1, _Pair>::type;

      mapped_type&
      operator[](const key_type& __k);

      mapped_type&
      operator[](key_type&& __k);



      mapped_type&
      at(const key_type& __k);

      const mapped_type&
      at(const key_type& __k) const;
    };

  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    auto
    _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>::
    operator[](const key_type& __k)
    -> mapped_type&
    {
      __hashtable* __h = static_cast<__hashtable*>(this);
      __hash_code __code = __h->_M_hash_code(__k);
      std::size_t __n = __h->_M_bucket_index(__k, __code);
      __node_type* __p = __h->_M_find_node(__n, __k, __code);

      if (!__p)
 {
   __p = __h->_M_allocate_node(std::piecewise_construct,
          std::tuple<const key_type&>(__k),
          std::tuple<>());
   return __h->_M_insert_unique_node(__n, __code, __p)->second;
 }

      return __p->_M_v().second;
    }

  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    auto
    _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>::
    operator[](key_type&& __k)
    -> mapped_type&
    {
      __hashtable* __h = static_cast<__hashtable*>(this);
      __hash_code __code = __h->_M_hash_code(__k);
      std::size_t __n = __h->_M_bucket_index(__k, __code);
      __node_type* __p = __h->_M_find_node(__n, __k, __code);

      if (!__p)
 {
   __p = __h->_M_allocate_node(std::piecewise_construct,
          std::forward_as_tuple(std::move(__k)),
          std::tuple<>());
   return __h->_M_insert_unique_node(__n, __code, __p)->second;
 }

      return __p->_M_v().second;
    }

  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    auto
    _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>::
    at(const key_type& __k)
    -> mapped_type&
    {
      __hashtable* __h = static_cast<__hashtable*>(this);
      __hash_code __code = __h->_M_hash_code(__k);
      std::size_t __n = __h->_M_bucket_index(__k, __code);
      __node_type* __p = __h->_M_find_node(__n, __k, __code);

      if (!__p)
 __throw_out_of_range(("_Map_base::at"));
      return __p->_M_v().second;
    }

  template<typename _Key, typename _Pair, typename _Alloc, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    auto
    _Map_base<_Key, _Pair, _Alloc, _Select1st, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>::
    at(const key_type& __k) const
    -> const mapped_type&
    {
      const __hashtable* __h = static_cast<const __hashtable*>(this);
      __hash_code __code = __h->_M_hash_code(__k);
      std::size_t __n = __h->_M_bucket_index(__k, __code);
      __node_type* __p = __h->_M_find_node(__n, __k, __code);

      if (!__p)
 __throw_out_of_range(("_Map_base::at"));
      return __p->_M_v().second;
    }






  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Insert_base
    {
    protected:
      using __hashtable = _Hashtable<_Key, _Value, _Alloc, _ExtractKey,
         _Equal, _H1, _H2, _Hash,
         _RehashPolicy, _Traits>;

      using __hashtable_base = _Hashtable_base<_Key, _Value, _ExtractKey,
            _Equal, _H1, _H2, _Hash,
            _Traits>;

      using value_type = typename __hashtable_base::value_type;
      using iterator = typename __hashtable_base::iterator;
      using const_iterator = typename __hashtable_base::const_iterator;
      using size_type = typename __hashtable_base::size_type;

      using __unique_keys = typename __hashtable_base::__unique_keys;
      using __ireturn_type = typename __hashtable_base::__ireturn_type;
      using __node_type = _Hash_node<_Value, _Traits::__hash_cached::value>;
      using __node_alloc_type = __alloc_rebind<_Alloc, __node_type>;
      using __node_gen_type = _AllocNode<__node_alloc_type>;

      __hashtable&
      _M_conjure_hashtable()
      { return *(static_cast<__hashtable*>(this)); }

      template<typename _InputIterator, typename _NodeGetter>
 void
 _M_insert_range(_InputIterator __first, _InputIterator __last,
   const _NodeGetter&, true_type);

      template<typename _InputIterator, typename _NodeGetter>
 void
 _M_insert_range(_InputIterator __first, _InputIterator __last,
   const _NodeGetter&, false_type);

    public:
      __ireturn_type
      insert(const value_type& __v)
      {
 __hashtable& __h = _M_conjure_hashtable();
 __node_gen_type __node_gen(__h);
 return __h._M_insert(__v, __node_gen, __unique_keys());
      }

      iterator
      insert(const_iterator __hint, const value_type& __v)
      {
 __hashtable& __h = _M_conjure_hashtable();
 __node_gen_type __node_gen(__h);
 return __h._M_insert(__hint, __v, __node_gen, __unique_keys());
      }

      void
      insert(initializer_list<value_type> __l)
      { this->insert(__l.begin(), __l.end()); }

      template<typename _InputIterator>
 void
 insert(_InputIterator __first, _InputIterator __last)
 {
   __hashtable& __h = _M_conjure_hashtable();
   __node_gen_type __node_gen(__h);
   return _M_insert_range(__first, __last, __node_gen, __unique_keys());
 }
    };

  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    template<typename _InputIterator, typename _NodeGetter>
      void
      _Insert_base<_Key, _Value, _Alloc, _ExtractKey, _Equal, _H1, _H2, _Hash,
      _RehashPolicy, _Traits>::
      _M_insert_range(_InputIterator __first, _InputIterator __last,
        const _NodeGetter& __node_gen, true_type)
      {
 size_type __n_elt = __detail::__distance_fw(__first, __last);
 if (__n_elt == 0)
   return;

 __hashtable& __h = _M_conjure_hashtable();
 for (; __first != __last; ++__first)
   {
     if (__h._M_insert(*__first, __node_gen, __unique_keys(),
         __n_elt).second)
       __n_elt = 1;
     else if (__n_elt != 1)
       --__n_elt;
   }
      }

  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    template<typename _InputIterator, typename _NodeGetter>
      void
      _Insert_base<_Key, _Value, _Alloc, _ExtractKey, _Equal, _H1, _H2, _Hash,
      _RehashPolicy, _Traits>::
      _M_insert_range(_InputIterator __first, _InputIterator __last,
        const _NodeGetter& __node_gen, false_type)
      {
 using __rehash_type = typename __hashtable::__rehash_type;
 using __rehash_state = typename __hashtable::__rehash_state;
 using pair_type = std::pair<bool, std::size_t>;

 size_type __n_elt = __detail::__distance_fw(__first, __last);
 if (__n_elt == 0)
   return;

 __hashtable& __h = _M_conjure_hashtable();
 __rehash_type& __rehash = __h._M_rehash_policy;
 const __rehash_state& __saved_state = __rehash._M_state();
 pair_type __do_rehash = __rehash._M_need_rehash(__h._M_bucket_count,
       __h._M_element_count,
       __n_elt);

 if (__do_rehash.first)
   __h._M_rehash(__do_rehash.second, __saved_state);

 for (; __first != __last; ++__first)
   __h._M_insert(*__first, __node_gen, __unique_keys());
      }







  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits,
    bool _Constant_iterators = _Traits::__constant_iterators::value>
    struct _Insert;


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Insert<_Key, _Value, _Alloc, _ExtractKey, _Equal, _H1, _H2, _Hash,
     _RehashPolicy, _Traits, true>
    : public _Insert_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
      _H1, _H2, _Hash, _RehashPolicy, _Traits>
    {
      using __base_type = _Insert_base<_Key, _Value, _Alloc, _ExtractKey,
     _Equal, _H1, _H2, _Hash,
     _RehashPolicy, _Traits>;

      using __hashtable_base = _Hashtable_base<_Key, _Value, _ExtractKey,
            _Equal, _H1, _H2, _Hash,
            _Traits>;

      using value_type = typename __base_type::value_type;
      using iterator = typename __base_type::iterator;
      using const_iterator = typename __base_type::const_iterator;

      using __unique_keys = typename __base_type::__unique_keys;
      using __ireturn_type = typename __hashtable_base::__ireturn_type;
      using __hashtable = typename __base_type::__hashtable;
      using __node_gen_type = typename __base_type::__node_gen_type;

      using __base_type::insert;

      __ireturn_type
      insert(value_type&& __v)
      {
 __hashtable& __h = this->_M_conjure_hashtable();
 __node_gen_type __node_gen(__h);
 return __h._M_insert(std::move(__v), __node_gen, __unique_keys());
      }

      iterator
      insert(const_iterator __hint, value_type&& __v)
      {
 __hashtable& __h = this->_M_conjure_hashtable();
 __node_gen_type __node_gen(__h);
 return __h._M_insert(__hint, std::move(__v), __node_gen,
        __unique_keys());
      }
    };


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Insert<_Key, _Value, _Alloc, _ExtractKey, _Equal, _H1, _H2, _Hash,
     _RehashPolicy, _Traits, false>
    : public _Insert_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
      _H1, _H2, _Hash, _RehashPolicy, _Traits>
    {
      using __base_type = _Insert_base<_Key, _Value, _Alloc, _ExtractKey,
           _Equal, _H1, _H2, _Hash,
           _RehashPolicy, _Traits>;
      using value_type = typename __base_type::value_type;
      using iterator = typename __base_type::iterator;
      using const_iterator = typename __base_type::const_iterator;

      using __unique_keys = typename __base_type::__unique_keys;
      using __hashtable = typename __base_type::__hashtable;
      using __ireturn_type = typename __base_type::__ireturn_type;

      using __base_type::insert;

      template<typename _Pair>
 using __is_cons = std::is_constructible<value_type, _Pair&&>;

      template<typename _Pair>
 using _IFcons = std::enable_if<__is_cons<_Pair>::value>;

      template<typename _Pair>
 using _IFconsp = typename _IFcons<_Pair>::type;

      template<typename _Pair, typename = _IFconsp<_Pair>>
 __ireturn_type
 insert(_Pair&& __v)
 {
   __hashtable& __h = this->_M_conjure_hashtable();
   return __h._M_emplace(__unique_keys(), std::forward<_Pair>(__v));
 }

      template<typename _Pair, typename = _IFconsp<_Pair>>
 iterator
 insert(const_iterator __hint, _Pair&& __v)
 {
   __hashtable& __h = this->_M_conjure_hashtable();
   return __h._M_emplace(__hint, __unique_keys(),
    std::forward<_Pair>(__v));
 }
   };

  template<typename _Policy>
    using __has_load_factor = typename _Policy::__has_load_factor;







  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits,
    typename =
      __detected_or_t<std::false_type, __has_load_factor, _RehashPolicy>>
    struct _Rehash_base;


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Rehash_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits,
        std::false_type>
    {
    };


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Rehash_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits,
   std::true_type>
    {
      using __hashtable = _Hashtable<_Key, _Value, _Alloc, _ExtractKey,
         _Equal, _H1, _H2, _Hash,
         _RehashPolicy, _Traits>;

      float
      max_load_factor() const noexcept
      {
 const __hashtable* __this = static_cast<const __hashtable*>(this);
 return __this->__rehash_policy().max_load_factor();
      }

      void
      max_load_factor(float __z)
      {
 __hashtable* __this = static_cast<__hashtable*>(this);
 __this->__rehash_policy(_RehashPolicy(__z));
      }

      void
      reserve(std::size_t __n)
      {
 __hashtable* __this = static_cast<__hashtable*>(this);
 __this->rehash(__builtin_ceil(__n / max_load_factor()));
      }
    };







  template<int _Nm, typename _Tp,
    bool __use_ebo = !__is_final(_Tp) && __is_empty(_Tp)>
    struct _Hashtable_ebo_helper;


  template<int _Nm, typename _Tp>
    struct _Hashtable_ebo_helper<_Nm, _Tp, true>
    : private _Tp
    {
      _Hashtable_ebo_helper() = default;

      template<typename _OtherTp>
 _Hashtable_ebo_helper(_OtherTp&& __tp)
   : _Tp(std::forward<_OtherTp>(__tp))
 { }

      static const _Tp&
      _S_cget(const _Hashtable_ebo_helper& __eboh)
      { return static_cast<const _Tp&>(__eboh); }

      static _Tp&
      _S_get(_Hashtable_ebo_helper& __eboh)
      { return static_cast<_Tp&>(__eboh); }
    };


  template<int _Nm, typename _Tp>
    struct _Hashtable_ebo_helper<_Nm, _Tp, false>
    {
      _Hashtable_ebo_helper() = default;

      template<typename _OtherTp>
 _Hashtable_ebo_helper(_OtherTp&& __tp)
   : _M_tp(std::forward<_OtherTp>(__tp))
 { }

      static const _Tp&
      _S_cget(const _Hashtable_ebo_helper& __eboh)
      { return __eboh._M_tp; }

      static _Tp&
      _S_get(_Hashtable_ebo_helper& __eboh)
      { return __eboh._M_tp; }

    private:
      _Tp _M_tp;
    };







  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash,
    bool __cache_hash_code>
    struct _Local_iterator_base;
# 1167 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash,
    bool __cache_hash_code>
    struct _Hash_code_base;



  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash>
    struct _Hash_code_base<_Key, _Value, _ExtractKey, _H1, _H2, _Hash, false>
    : private _Hashtable_ebo_helper<0, _ExtractKey>,
      private _Hashtable_ebo_helper<1, _Hash>
    {
    private:
      using __ebo_extract_key = _Hashtable_ebo_helper<0, _ExtractKey>;
      using __ebo_hash = _Hashtable_ebo_helper<1, _Hash>;

    protected:
      typedef void* __hash_code;
      typedef _Hash_node<_Value, false> __node_type;



      _Hash_code_base() = default;

      _Hash_code_base(const _ExtractKey& __ex, const _H1&, const _H2&,
        const _Hash& __h)
      : __ebo_extract_key(__ex), __ebo_hash(__h) { }

      __hash_code
      _M_hash_code(const _Key& __key) const
      { return 0; }

      std::size_t
      _M_bucket_index(const _Key& __k, __hash_code, std::size_t __n) const
      { return _M_ranged_hash()(__k, __n); }

      std::size_t
      _M_bucket_index(const __node_type* __p, std::size_t __n) const
 noexcept( noexcept(declval<const _Hash&>()(declval<const _Key&>(),
         (std::size_t)0)) )
      { return _M_ranged_hash()(_M_extract()(__p->_M_v()), __n); }

      void
      _M_store_code(__node_type*, __hash_code) const
      { }

      void
      _M_copy_code(__node_type*, const __node_type*) const
      { }

      void
      _M_swap(_Hash_code_base& __x)
      {
 std::swap(_M_extract(), __x._M_extract());
 std::swap(_M_ranged_hash(), __x._M_ranged_hash());
      }

      const _ExtractKey&
      _M_extract() const { return __ebo_extract_key::_S_cget(*this); }

      _ExtractKey&
      _M_extract() { return __ebo_extract_key::_S_get(*this); }

      const _Hash&
      _M_ranged_hash() const { return __ebo_hash::_S_cget(*this); }

      _Hash&
      _M_ranged_hash() { return __ebo_hash::_S_get(*this); }
    };







  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash>
    struct _Hash_code_base<_Key, _Value, _ExtractKey, _H1, _H2, _Hash, true>;




  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2>
    struct _Hash_code_base<_Key, _Value, _ExtractKey, _H1, _H2,
      _Default_ranged_hash, false>
    : private _Hashtable_ebo_helper<0, _ExtractKey>,
      private _Hashtable_ebo_helper<1, _H1>,
      private _Hashtable_ebo_helper<2, _H2>
    {
    private:
      using __ebo_extract_key = _Hashtable_ebo_helper<0, _ExtractKey>;
      using __ebo_h1 = _Hashtable_ebo_helper<1, _H1>;
      using __ebo_h2 = _Hashtable_ebo_helper<2, _H2>;


      friend struct _Local_iterator_base<_Key, _Value, _ExtractKey, _H1, _H2,
      _Default_ranged_hash, false>;

    public:
      typedef _H1 hasher;

      hasher
      hash_function() const
      { return _M_h1(); }

    protected:
      typedef std::size_t __hash_code;
      typedef _Hash_node<_Value, false> __node_type;



      _Hash_code_base() = default;

      _Hash_code_base(const _ExtractKey& __ex,
        const _H1& __h1, const _H2& __h2,
        const _Default_ranged_hash&)
      : __ebo_extract_key(__ex), __ebo_h1(__h1), __ebo_h2(__h2) { }

      __hash_code
      _M_hash_code(const _Key& __k) const
      { return _M_h1()(__k); }

      std::size_t
      _M_bucket_index(const _Key&, __hash_code __c, std::size_t __n) const
      { return _M_h2()(__c, __n); }

      std::size_t
      _M_bucket_index(const __node_type* __p, std::size_t __n) const
 noexcept( noexcept(declval<const _H1&>()(declval<const _Key&>()))
    && noexcept(declval<const _H2&>()((__hash_code)0,
          (std::size_t)0)) )
      { return _M_h2()(_M_h1()(_M_extract()(__p->_M_v())), __n); }

      void
      _M_store_code(__node_type*, __hash_code) const
      { }

      void
      _M_copy_code(__node_type*, const __node_type*) const
      { }

      void
      _M_swap(_Hash_code_base& __x)
      {
 std::swap(_M_extract(), __x._M_extract());
 std::swap(_M_h1(), __x._M_h1());
 std::swap(_M_h2(), __x._M_h2());
      }

      const _ExtractKey&
      _M_extract() const { return __ebo_extract_key::_S_cget(*this); }

      _ExtractKey&
      _M_extract() { return __ebo_extract_key::_S_get(*this); }

      const _H1&
      _M_h1() const { return __ebo_h1::_S_cget(*this); }

      _H1&
      _M_h1() { return __ebo_h1::_S_get(*this); }

      const _H2&
      _M_h2() const { return __ebo_h2::_S_cget(*this); }

      _H2&
      _M_h2() { return __ebo_h2::_S_get(*this); }
    };




  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2>
    struct _Hash_code_base<_Key, _Value, _ExtractKey, _H1, _H2,
      _Default_ranged_hash, true>
    : private _Hashtable_ebo_helper<0, _ExtractKey>,
      private _Hashtable_ebo_helper<1, _H1>,
      private _Hashtable_ebo_helper<2, _H2>
    {
    private:

      friend struct _Local_iterator_base<_Key, _Value, _ExtractKey, _H1, _H2,
      _Default_ranged_hash, true>;

      using __ebo_extract_key = _Hashtable_ebo_helper<0, _ExtractKey>;
      using __ebo_h1 = _Hashtable_ebo_helper<1, _H1>;
      using __ebo_h2 = _Hashtable_ebo_helper<2, _H2>;

    public:
      typedef _H1 hasher;

      hasher
      hash_function() const
      { return _M_h1(); }

    protected:
      typedef std::size_t __hash_code;
      typedef _Hash_node<_Value, true> __node_type;


      _Hash_code_base() = default;
      _Hash_code_base(const _ExtractKey& __ex,
        const _H1& __h1, const _H2& __h2,
        const _Default_ranged_hash&)
      : __ebo_extract_key(__ex), __ebo_h1(__h1), __ebo_h2(__h2) { }

      __hash_code
      _M_hash_code(const _Key& __k) const
      { return _M_h1()(__k); }

      std::size_t
      _M_bucket_index(const _Key&, __hash_code __c,
        std::size_t __n) const
      { return _M_h2()(__c, __n); }

      std::size_t
      _M_bucket_index(const __node_type* __p, std::size_t __n) const
 noexcept( noexcept(declval<const _H2&>()((__hash_code)0,
       (std::size_t)0)) )
      { return _M_h2()(__p->_M_hash_code, __n); }

      void
      _M_store_code(__node_type* __n, __hash_code __c) const
      { __n->_M_hash_code = __c; }

      void
      _M_copy_code(__node_type* __to, const __node_type* __from) const
      { __to->_M_hash_code = __from->_M_hash_code; }

      void
      _M_swap(_Hash_code_base& __x)
      {
 std::swap(_M_extract(), __x._M_extract());
 std::swap(_M_h1(), __x._M_h1());
 std::swap(_M_h2(), __x._M_h2());
      }

      const _ExtractKey&
      _M_extract() const { return __ebo_extract_key::_S_cget(*this); }

      _ExtractKey&
      _M_extract() { return __ebo_extract_key::_S_get(*this); }

      const _H1&
      _M_h1() const { return __ebo_h1::_S_cget(*this); }

      _H1&
      _M_h1() { return __ebo_h1::_S_get(*this); }

      const _H2&
      _M_h2() const { return __ebo_h2::_S_cget(*this); }

      _H2&
      _M_h2() { return __ebo_h2::_S_get(*this); }
    };





  template <typename _Key, typename _Value, typename _ExtractKey,
     typename _Equal, typename _HashCodeType,
     bool __cache_hash_code>
  struct _Equal_helper;


  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _Equal, typename _HashCodeType>
  struct _Equal_helper<_Key, _Value, _ExtractKey, _Equal, _HashCodeType, true>
  {
    static bool
    _S_equals(const _Equal& __eq, const _ExtractKey& __extract,
       const _Key& __k, _HashCodeType __c, _Hash_node<_Value, true>* __n)
    { return __c == __n->_M_hash_code && __eq(__k, __extract(__n->_M_v())); }
  };


  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _Equal, typename _HashCodeType>
  struct _Equal_helper<_Key, _Value, _ExtractKey, _Equal, _HashCodeType, false>
  {
    static bool
    _S_equals(const _Equal& __eq, const _ExtractKey& __extract,
       const _Key& __k, _HashCodeType, _Hash_node<_Value, false>* __n)
    { return __eq(__k, __extract(__n->_M_v())); }
  };



  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash>
    struct _Local_iterator_base<_Key, _Value, _ExtractKey,
    _H1, _H2, _Hash, true>
    : private _Hashtable_ebo_helper<0, _H2>
    {
    protected:
      using __base_type = _Hashtable_ebo_helper<0, _H2>;
      using __hash_code_base = _Hash_code_base<_Key, _Value, _ExtractKey,
            _H1, _H2, _Hash, true>;

      _Local_iterator_base() = default;
      _Local_iterator_base(const __hash_code_base& __base,
      _Hash_node<_Value, true>* __p,
      std::size_t __bkt, std::size_t __bkt_count)
      : __base_type(__base._M_h2()),
 _M_cur(__p), _M_bucket(__bkt), _M_bucket_count(__bkt_count) { }

      void
      _M_incr()
      {
 _M_cur = _M_cur->_M_next();
 if (_M_cur)
   {
     std::size_t __bkt
       = __base_type::_S_get(*this)(_M_cur->_M_hash_code,
        _M_bucket_count);
     if (__bkt != _M_bucket)
       _M_cur = nullptr;
   }
      }

      _Hash_node<_Value, true>* _M_cur;
      std::size_t _M_bucket;
      std::size_t _M_bucket_count;

    public:
      const void*
      _M_curr() const { return _M_cur; }

      std::size_t
      _M_get_bucket() const { return _M_bucket; }
    };





  template<typename _Tp, bool _IsEmpty = std::is_empty<_Tp>::value>
    struct _Hash_code_storage
    {
      __gnu_cxx::__aligned_buffer<_Tp> _M_storage;

      _Tp*
      _M_h() { return _M_storage._M_ptr(); }

      const _Tp*
      _M_h() const { return _M_storage._M_ptr(); }
    };


  template<typename _Tp>
    struct _Hash_code_storage<_Tp, true>
    {
      static_assert( std::is_empty<_Tp>::value, "Type must be empty" );



      _Tp*
      _M_h() { return reinterpret_cast<_Tp*>(this); }

      const _Tp*
      _M_h() const { return reinterpret_cast<const _Tp*>(this); }
    };

  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash>
    using __hash_code_for_local_iter
      = _Hash_code_storage<_Hash_code_base<_Key, _Value, _ExtractKey,
        _H1, _H2, _Hash, false>>;


  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash>
    struct _Local_iterator_base<_Key, _Value, _ExtractKey,
    _H1, _H2, _Hash, false>
    : __hash_code_for_local_iter<_Key, _Value, _ExtractKey, _H1, _H2, _Hash>
    {
    protected:
      using __hash_code_base = _Hash_code_base<_Key, _Value, _ExtractKey,
            _H1, _H2, _Hash, false>;

      _Local_iterator_base() : _M_bucket_count(-1) { }

      _Local_iterator_base(const __hash_code_base& __base,
      _Hash_node<_Value, false>* __p,
      std::size_t __bkt, std::size_t __bkt_count)
      : _M_cur(__p), _M_bucket(__bkt), _M_bucket_count(__bkt_count)
      { _M_init(__base); }

      ~_Local_iterator_base()
      {
 if (_M_bucket_count != -1)
   _M_destroy();
      }

      _Local_iterator_base(const _Local_iterator_base& __iter)
      : _M_cur(__iter._M_cur), _M_bucket(__iter._M_bucket),
        _M_bucket_count(__iter._M_bucket_count)
      {
 if (_M_bucket_count != -1)
   _M_init(*__iter._M_h());
      }

      _Local_iterator_base&
      operator=(const _Local_iterator_base& __iter)
      {
 if (_M_bucket_count != -1)
   _M_destroy();
 _M_cur = __iter._M_cur;
 _M_bucket = __iter._M_bucket;
 _M_bucket_count = __iter._M_bucket_count;
 if (_M_bucket_count != -1)
   _M_init(*__iter._M_h());
 return *this;
      }

      void
      _M_incr()
      {
 _M_cur = _M_cur->_M_next();
 if (_M_cur)
   {
     std::size_t __bkt = this->_M_h()->_M_bucket_index(_M_cur,
             _M_bucket_count);
     if (__bkt != _M_bucket)
       _M_cur = nullptr;
   }
      }

      _Hash_node<_Value, false>* _M_cur;
      std::size_t _M_bucket;
      std::size_t _M_bucket_count;

      void
      _M_init(const __hash_code_base& __base)
      { ::new(this->_M_h()) __hash_code_base(__base); }

      void
      _M_destroy() { this->_M_h()->~__hash_code_base(); }

    public:
      const void*
      _M_curr() const { return _M_cur; }

      std::size_t
      _M_get_bucket() const { return _M_bucket; }
    };

  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash, bool __cache>
    inline bool
    operator==(const _Local_iterator_base<_Key, _Value, _ExtractKey,
       _H1, _H2, _Hash, __cache>& __x,
        const _Local_iterator_base<_Key, _Value, _ExtractKey,
       _H1, _H2, _Hash, __cache>& __y)
    { return __x._M_curr() == __y._M_curr(); }

  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash, bool __cache>
    inline bool
    operator!=(const _Local_iterator_base<_Key, _Value, _ExtractKey,
       _H1, _H2, _Hash, __cache>& __x,
        const _Local_iterator_base<_Key, _Value, _ExtractKey,
       _H1, _H2, _Hash, __cache>& __y)
    { return __x._M_curr() != __y._M_curr(); }


  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash,
    bool __constant_iterators, bool __cache>
    struct _Local_iterator
    : public _Local_iterator_base<_Key, _Value, _ExtractKey,
      _H1, _H2, _Hash, __cache>
    {
    private:
      using __base_type = _Local_iterator_base<_Key, _Value, _ExtractKey,
            _H1, _H2, _Hash, __cache>;
      using __hash_code_base = typename __base_type::__hash_code_base;
    public:
      typedef _Value value_type;
      typedef typename std::conditional<__constant_iterators,
     const _Value*, _Value*>::type
             pointer;
      typedef typename std::conditional<__constant_iterators,
     const _Value&, _Value&>::type
             reference;
      typedef std::ptrdiff_t difference_type;
      typedef std::forward_iterator_tag iterator_category;

      _Local_iterator() = default;

      _Local_iterator(const __hash_code_base& __base,
        _Hash_node<_Value, __cache>* __p,
        std::size_t __bkt, std::size_t __bkt_count)
 : __base_type(__base, __p, __bkt, __bkt_count)
      { }

      reference
      operator*() const
      { return this->_M_cur->_M_v(); }

      pointer
      operator->() const
      { return this->_M_cur->_M_valptr(); }

      _Local_iterator&
      operator++()
      {
 this->_M_incr();
 return *this;
      }

      _Local_iterator
      operator++(int)
      {
 _Local_iterator __tmp(*this);
 this->_M_incr();
 return __tmp;
      }
    };


  template<typename _Key, typename _Value, typename _ExtractKey,
    typename _H1, typename _H2, typename _Hash,
    bool __constant_iterators, bool __cache>
    struct _Local_const_iterator
    : public _Local_iterator_base<_Key, _Value, _ExtractKey,
      _H1, _H2, _Hash, __cache>
    {
    private:
      using __base_type = _Local_iterator_base<_Key, _Value, _ExtractKey,
            _H1, _H2, _Hash, __cache>;
      using __hash_code_base = typename __base_type::__hash_code_base;

    public:
      typedef _Value value_type;
      typedef const _Value* pointer;
      typedef const _Value& reference;
      typedef std::ptrdiff_t difference_type;
      typedef std::forward_iterator_tag iterator_category;

      _Local_const_iterator() = default;

      _Local_const_iterator(const __hash_code_base& __base,
       _Hash_node<_Value, __cache>* __p,
       std::size_t __bkt, std::size_t __bkt_count)
 : __base_type(__base, __p, __bkt, __bkt_count)
      { }

      _Local_const_iterator(const _Local_iterator<_Key, _Value, _ExtractKey,
        _H1, _H2, _Hash,
        __constant_iterators,
        __cache>& __x)
 : __base_type(__x)
      { }

      reference
      operator*() const
      { return this->_M_cur->_M_v(); }

      pointer
      operator->() const
      { return this->_M_cur->_M_valptr(); }

      _Local_const_iterator&
      operator++()
      {
 this->_M_incr();
 return *this;
      }

      _Local_const_iterator
      operator++(int)
      {
 _Local_const_iterator __tmp(*this);
 this->_M_incr();
 return __tmp;
      }
    };
# 1760 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  template<typename _Key, typename _Value,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _Traits>
  struct _Hashtable_base
  : public _Hash_code_base<_Key, _Value, _ExtractKey, _H1, _H2, _Hash,
      _Traits::__hash_cached::value>,
    private _Hashtable_ebo_helper<0, _Equal>
  {
  public:
    typedef _Key key_type;
    typedef _Value value_type;
    typedef _Equal key_equal;
    typedef std::size_t size_type;
    typedef std::ptrdiff_t difference_type;

    using __traits_type = _Traits;
    using __hash_cached = typename __traits_type::__hash_cached;
    using __constant_iterators = typename __traits_type::__constant_iterators;
    using __unique_keys = typename __traits_type::__unique_keys;

    using __hash_code_base = _Hash_code_base<_Key, _Value, _ExtractKey,
          _H1, _H2, _Hash,
          __hash_cached::value>;

    using __hash_code = typename __hash_code_base::__hash_code;
    using __node_type = typename __hash_code_base::__node_type;

    using iterator = __detail::_Node_iterator<value_type,
           __constant_iterators::value,
           __hash_cached::value>;

    using const_iterator = __detail::_Node_const_iterator<value_type,
         __constant_iterators::value,
         __hash_cached::value>;

    using local_iterator = __detail::_Local_iterator<key_type, value_type,
        _ExtractKey, _H1, _H2, _Hash,
        __constant_iterators::value,
           __hash_cached::value>;

    using const_local_iterator = __detail::_Local_const_iterator<key_type,
         value_type,
     _ExtractKey, _H1, _H2, _Hash,
     __constant_iterators::value,
     __hash_cached::value>;

    using __ireturn_type = typename std::conditional<__unique_keys::value,
           std::pair<iterator, bool>,
           iterator>::type;
  private:
    using _EqualEBO = _Hashtable_ebo_helper<0, _Equal>;
    using _EqualHelper = _Equal_helper<_Key, _Value, _ExtractKey, _Equal,
     __hash_code, __hash_cached::value>;

  protected:
    _Hashtable_base() = default;
    _Hashtable_base(const _ExtractKey& __ex, const _H1& __h1, const _H2& __h2,
      const _Hash& __hash, const _Equal& __eq)
    : __hash_code_base(__ex, __h1, __h2, __hash), _EqualEBO(__eq)
    { }

    bool
    _M_equals(const _Key& __k, __hash_code __c, __node_type* __n) const
    {
      return _EqualHelper::_S_equals(_M_eq(), this->_M_extract(),
         __k, __c, __n);
    }

    void
    _M_swap(_Hashtable_base& __x)
    {
      __hash_code_base::_M_swap(__x);
      std::swap(_M_eq(), __x._M_eq());
    }

    const _Equal&
    _M_eq() const { return _EqualEBO::_S_cget(*this); }

    _Equal&
    _M_eq() { return _EqualEBO::_S_get(*this); }
  };






  struct _Equality_base
  {
  protected:
    template<typename _Uiterator>
      static bool
      _S_is_permutation(_Uiterator, _Uiterator, _Uiterator);
  };


  template<typename _Uiterator>
    bool
    _Equality_base::
    _S_is_permutation(_Uiterator __first1, _Uiterator __last1,
        _Uiterator __first2)
    {
      for (; __first1 != __last1; ++__first1, ++__first2)
 if (!(*__first1 == *__first2))
   break;

      if (__first1 == __last1)
 return true;

      _Uiterator __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));

      for (_Uiterator __it1 = __first1; __it1 != __last1; ++__it1)
 {
   _Uiterator __tmp = __first1;
   while (__tmp != __it1 && !bool(*__tmp == *__it1))
     ++__tmp;


   if (__tmp != __it1)
     continue;

   std::ptrdiff_t __n2 = 0;
   for (__tmp = __first2; __tmp != __last2; ++__tmp)
     if (*__tmp == *__it1)
       ++__n2;

   if (!__n2)
     return false;

   std::ptrdiff_t __n1 = 0;
   for (__tmp = __it1; __tmp != __last1; ++__tmp)
     if (*__tmp == *__it1)
       ++__n1;

   if (__n1 != __n2)
     return false;
 }
      return true;
    }
# 1909 "/opt/sutton/include/c++/9.0.0/bits/hashtable_policy.h" 3
  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits,
    bool _Unique_keys = _Traits::__unique_keys::value>
    struct _Equality;


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Equality<_Key, _Value, _Alloc, _ExtractKey, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>
    {
      using __hashtable = _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
         _H1, _H2, _Hash, _RehashPolicy, _Traits>;

      bool
      _M_equal(const __hashtable&) const;
    };

  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    bool
    _Equality<_Key, _Value, _Alloc, _ExtractKey, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, true>::
    _M_equal(const __hashtable& __other) const
    {
      const __hashtable* __this = static_cast<const __hashtable*>(this);

      if (__this->size() != __other.size())
 return false;

      for (auto __itx = __this->begin(); __itx != __this->end(); ++__itx)
 {
   const auto __ity = __other.find(_ExtractKey()(*__itx));
   if (__ity == __other.end() || !bool(*__ity == *__itx))
     return false;
 }
      return true;
    }


  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    struct _Equality<_Key, _Value, _Alloc, _ExtractKey, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, false>
    : public _Equality_base
    {
      using __hashtable = _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
         _H1, _H2, _Hash, _RehashPolicy, _Traits>;

      bool
      _M_equal(const __hashtable&) const;
    };

  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    bool
    _Equality<_Key, _Value, _Alloc, _ExtractKey, _Equal,
       _H1, _H2, _Hash, _RehashPolicy, _Traits, false>::
    _M_equal(const __hashtable& __other) const
    {
      const __hashtable* __this = static_cast<const __hashtable*>(this);

      if (__this->size() != __other.size())
 return false;

      for (auto __itx = __this->begin(); __itx != __this->end();)
 {
   const auto __xrange = __this->equal_range(_ExtractKey()(*__itx));
   const auto __yrange = __other.equal_range(_ExtractKey()(*__itx));

   if (std::distance(__xrange.first, __xrange.second)
       != std::distance(__yrange.first, __yrange.second))
     return false;

   if (!_S_is_permutation(__xrange.first, __xrange.second,
     __yrange.first))
     return false;

   __itx = __xrange.second;
 }
      return true;
    }





  template<typename _NodeAlloc>
    struct _Hashtable_alloc : private _Hashtable_ebo_helper<0, _NodeAlloc>
    {
    private:
      using __ebo_node_alloc = _Hashtable_ebo_helper<0, _NodeAlloc>;
    public:
      using __node_type = typename _NodeAlloc::value_type;
      using __node_alloc_type = _NodeAlloc;

      using __node_alloc_traits = __gnu_cxx::__alloc_traits<__node_alloc_type>;

      using __value_alloc_traits = typename __node_alloc_traits::template
 rebind_traits<typename __node_type::value_type>;

      using __node_base = __detail::_Hash_node_base;
      using __bucket_type = __node_base*;
      using __bucket_alloc_type =
 __alloc_rebind<__node_alloc_type, __bucket_type>;
      using __bucket_alloc_traits = std::allocator_traits<__bucket_alloc_type>;

      _Hashtable_alloc() = default;
      _Hashtable_alloc(const _Hashtable_alloc&) = default;
      _Hashtable_alloc(_Hashtable_alloc&&) = default;

      template<typename _Alloc>
 _Hashtable_alloc(_Alloc&& __a)
   : __ebo_node_alloc(std::forward<_Alloc>(__a))
 { }

      __node_alloc_type&
      _M_node_allocator()
      { return __ebo_node_alloc::_S_get(*this); }

      const __node_alloc_type&
      _M_node_allocator() const
      { return __ebo_node_alloc::_S_cget(*this); }

      template<typename... _Args>
 __node_type*
 _M_allocate_node(_Args&&... __args);

      void
      _M_deallocate_node(__node_type* __n);


      void
      _M_deallocate_nodes(__node_type* __n);

      __bucket_type*
      _M_allocate_buckets(std::size_t __n);

      void
      _M_deallocate_buckets(__bucket_type*, std::size_t __n);
    };



  template<typename _NodeAlloc>
    template<typename... _Args>
      typename _Hashtable_alloc<_NodeAlloc>::__node_type*
      _Hashtable_alloc<_NodeAlloc>::_M_allocate_node(_Args&&... __args)
      {
 auto __nptr = __node_alloc_traits::allocate(_M_node_allocator(), 1);
 __node_type* __n = std::__to_address(__nptr);
 try
   {
     ::new ((void*)__n) __node_type;
     __node_alloc_traits::construct(_M_node_allocator(),
        __n->_M_valptr(),
        std::forward<_Args>(__args)...);
     return __n;
   }
 catch(...)
   {
     __node_alloc_traits::deallocate(_M_node_allocator(), __nptr, 1);
     throw;
   }
      }

  template<typename _NodeAlloc>
    void
    _Hashtable_alloc<_NodeAlloc>::_M_deallocate_node(__node_type* __n)
    {
      typedef typename __node_alloc_traits::pointer _Ptr;
      auto __ptr = std::pointer_traits<_Ptr>::pointer_to(*__n);
      __node_alloc_traits::destroy(_M_node_allocator(), __n->_M_valptr());
      __n->~__node_type();
      __node_alloc_traits::deallocate(_M_node_allocator(), __ptr, 1);
    }

  template<typename _NodeAlloc>
    void
    _Hashtable_alloc<_NodeAlloc>::_M_deallocate_nodes(__node_type* __n)
    {
      while (__n)
 {
   __node_type* __tmp = __n;
   __n = __n->_M_next();
   _M_deallocate_node(__tmp);
 }
    }

  template<typename _NodeAlloc>
    typename _Hashtable_alloc<_NodeAlloc>::__bucket_type*
    _Hashtable_alloc<_NodeAlloc>::_M_allocate_buckets(std::size_t __n)
    {
      __bucket_alloc_type __alloc(_M_node_allocator());

      auto __ptr = __bucket_alloc_traits::allocate(__alloc, __n);
      __bucket_type* __p = std::__to_address(__ptr);
      __builtin_memset(__p, 0, __n * sizeof(__bucket_type));
      return __p;
    }

  template<typename _NodeAlloc>
    void
    _Hashtable_alloc<_NodeAlloc>::_M_deallocate_buckets(__bucket_type* __bkts,
       std::size_t __n)
    {
      typedef typename __bucket_alloc_traits::pointer _Ptr;
      auto __ptr = std::pointer_traits<_Ptr>::pointer_to(*__bkts);
      __bucket_alloc_type __alloc(_M_node_allocator());
      __bucket_alloc_traits::deallocate(__alloc, __ptr, __n);
    }


}

}
# 36 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/node_handle.h" 1 3
# 34 "/opt/sutton/include/c++/9.0.0/bits/node_handle.h" 3
       
# 35 "/opt/sutton/include/c++/9.0.0/bits/node_handle.h" 3




# 1 "/opt/sutton/include/c++/9.0.0/optional" 1 3
# 32 "/opt/sutton/include/c++/9.0.0/optional" 3
       
# 33 "/opt/sutton/include/c++/9.0.0/optional" 3
# 43 "/opt/sutton/include/c++/9.0.0/optional" 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/enable_special_members.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/enable_special_members.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/enable_special_members.h" 3

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


  struct _Enable_default_constructor_tag
  {
    explicit constexpr _Enable_default_constructor_tag() = default;
  };






template<bool _Switch, typename _Tag = void>
  struct _Enable_default_constructor
  {
    constexpr _Enable_default_constructor() noexcept = default;
    constexpr _Enable_default_constructor(_Enable_default_constructor const&)
      noexcept = default;
    constexpr _Enable_default_constructor(_Enable_default_constructor&&)
      noexcept = default;
    _Enable_default_constructor&
    operator=(_Enable_default_constructor const&) noexcept = default;
    _Enable_default_constructor&
    operator=(_Enable_default_constructor&&) noexcept = default;


    constexpr explicit
    _Enable_default_constructor(_Enable_default_constructor_tag) { }
  };







template<bool _Switch, typename _Tag = void>
  struct _Enable_destructor { };






template<bool _Copy, bool _CopyAssignment,
         bool _Move, bool _MoveAssignment,
         typename _Tag = void>
  struct _Enable_copy_move { };
# 93 "/opt/sutton/include/c++/9.0.0/bits/enable_special_members.h" 3
template<bool _Default, bool _Destructor,
         bool _Copy, bool _CopyAssignment,
         bool _Move, bool _MoveAssignment,
         typename _Tag = void>
  struct _Enable_special_members
  : private _Enable_default_constructor<_Default, _Tag>,
    private _Enable_destructor<_Destructor, _Tag>,
    private _Enable_copy_move<_Copy, _CopyAssignment,
                              _Move, _MoveAssignment,
                              _Tag>
  { };



template<typename _Tag>
  struct _Enable_default_constructor<false, _Tag>
  {
    constexpr _Enable_default_constructor() noexcept = delete;
    constexpr _Enable_default_constructor(_Enable_default_constructor const&)
      noexcept = default;
    constexpr _Enable_default_constructor(_Enable_default_constructor&&)
      noexcept = default;
    _Enable_default_constructor&
    operator=(_Enable_default_constructor const&) noexcept = default;
    _Enable_default_constructor&
    operator=(_Enable_default_constructor&&) noexcept = default;


    constexpr explicit
    _Enable_default_constructor(_Enable_default_constructor_tag) { }
  };

template<typename _Tag>
  struct _Enable_destructor<false, _Tag>
  { ~_Enable_destructor() noexcept = delete; };

template<typename _Tag>
  struct _Enable_copy_move<false, true, true, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, false, true, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, false, true, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, true, false, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, true, false, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, false, false, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, false, false, true, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = default;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, true, true, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, true, true, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, false, true, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, false, true, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, true, false, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, true, false, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = default;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<true, false, false, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };

template<typename _Tag>
  struct _Enable_copy_move<false, false, false, false, _Tag>
  {
    constexpr _Enable_copy_move() noexcept = default;
    constexpr _Enable_copy_move(_Enable_copy_move const&) noexcept = delete;
    constexpr _Enable_copy_move(_Enable_copy_move&&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move const&) noexcept = delete;
    _Enable_copy_move&
    operator=(_Enable_copy_move&&) noexcept = delete;
  };


}
# 44 "/opt/sutton/include/c++/9.0.0/optional" 2 3

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

# 56 "/opt/sutton/include/c++/9.0.0/optional" 3
  template<typename _Tp>
    class optional;


  struct nullopt_t
  {





    enum class _Construct { _Token };


    explicit constexpr nullopt_t(_Construct) { }
  };


  inline constexpr nullopt_t nullopt { nullopt_t::_Construct::_Token };






  class bad_optional_access : public exception
  {
  public:
    bad_optional_access() { }

    virtual const char* what() const noexcept override
    { return "bad optional access"; }

    virtual ~bad_optional_access() noexcept = default;
  };

  void
  __throw_bad_optional_access()
  __attribute__((__noreturn__));


  inline void
  __throw_bad_optional_access()
  { (throw (bad_optional_access())); }



  template <typename _Tp,
     bool =
       is_trivially_destructible_v<_Tp>,
     bool =
       is_trivially_copy_assignable_v<_Tp>
       && is_trivially_copy_constructible_v<_Tp>,
     bool =
       is_trivially_move_assignable_v<_Tp>
       && is_trivially_move_constructible_v<_Tp>>
    struct _Optional_payload
    {
      constexpr _Optional_payload() noexcept : _M_empty() { }

      template <typename... _Args>
 constexpr
 _Optional_payload(in_place_t, _Args&&... __args)
 : _M_payload(std::forward<_Args>(__args)...), _M_engaged(true) { }

      template<typename _Up, typename... _Args>
 constexpr
 _Optional_payload(std::initializer_list<_Up> __il,
     _Args&&... __args)
 : _M_payload(__il, std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      constexpr
      _Optional_payload(bool __engaged, const _Optional_payload& __other)
      : _Optional_payload(__other)
      { }

      constexpr
      _Optional_payload(bool __engaged, _Optional_payload&& __other)
      : _Optional_payload(std::move(__other))
      { }

      constexpr
      _Optional_payload(const _Optional_payload& __other)
      {
 if (__other._M_engaged)
   this->_M_construct(__other._M_payload);
      }

      constexpr
      _Optional_payload(_Optional_payload&& __other)
      {
 if (__other._M_engaged)
   this->_M_construct(std::move(__other._M_payload));
      }

      constexpr
      _Optional_payload&
      operator=(const _Optional_payload& __other)
      {
        if (this->_M_engaged && __other._M_engaged)
          this->_M_get() = __other._M_get();
        else
   {
     if (__other._M_engaged)
       this->_M_construct(__other._M_get());
     else
       this->_M_reset();
   }
 return *this;
      }

      constexpr
      _Optional_payload&
      operator=(_Optional_payload&& __other)
      noexcept(__and_v<is_nothrow_move_constructible<_Tp>,
         is_nothrow_move_assignable<_Tp>>)
      {
 if (this->_M_engaged && __other._M_engaged)
   this->_M_get() = std::move(__other._M_get());
 else
   {
     if (__other._M_engaged)
       this->_M_construct(std::move(__other._M_get()));
     else
       this->_M_reset();
   }
 return *this;
      }

      using _Stored_type = remove_const_t<_Tp>;

      struct _Empty_byte { };

      union {
          _Empty_byte _M_empty;
          _Stored_type _M_payload;
      };
      bool _M_engaged = false;

      ~_Optional_payload()
      {
        if (_M_engaged)
          _M_payload.~_Stored_type();
      }

      template<typename... _Args>
        void
        _M_construct(_Args&&... __args)
        noexcept(is_nothrow_constructible_v<_Stored_type, _Args...>)
        {
          ::new ((void *) std::__addressof(this->_M_payload))
            _Stored_type(std::forward<_Args>(__args)...);
          this->_M_engaged = true;
        }


      constexpr _Tp&
      _M_get() noexcept
      { return this->_M_payload; }

      constexpr const _Tp&
      _M_get() const noexcept
      { return this->_M_payload; }


      constexpr
      void
      _M_reset() noexcept
      {
 if (this->_M_engaged)
   {
     this->_M_engaged = false;
     this->_M_payload.~_Stored_type();
   }
      }
    };


  template <typename _Tp>
    struct _Optional_payload<_Tp, true, true, true>
    {
      constexpr _Optional_payload() noexcept
      : _M_empty(), _M_engaged(false) { }

      template<typename... _Args>
 constexpr
 _Optional_payload(in_place_t, _Args&&... __args)
 : _M_payload(std::forward<_Args>(__args)...), _M_engaged(true)
 { }

      template<typename _Up, typename... _Args>
 constexpr
 _Optional_payload(std::initializer_list<_Up> __il,
     _Args&&... __args)
 : _M_payload(__il, std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template <class _Up> struct __ctor_tag {};

      constexpr
      _Optional_payload(__ctor_tag<bool>, const _Tp& __other)
      : _M_payload(__other), _M_engaged(true)
      { }

      constexpr _Optional_payload(__ctor_tag<void>) noexcept
      : _M_empty(), _M_engaged(false)
      { }

      constexpr _Optional_payload(__ctor_tag<bool>, _Tp&& __other)
      : _M_payload(std::move(__other)), _M_engaged(true)
      { }

      constexpr
      _Optional_payload(bool __engaged, const _Optional_payload& __other)
      : _Optional_payload(__engaged ?
     _Optional_payload(__ctor_tag<bool>{},
         __other._M_payload) :
     _Optional_payload(__ctor_tag<void>{}))
      { }

      constexpr
      _Optional_payload(bool __engaged, _Optional_payload&& __other)
      : _Optional_payload(__engaged
     ? _Optional_payload(__ctor_tag<bool>{},
           std::move(__other._M_payload))
     : _Optional_payload(__ctor_tag<void>{}))
      { }

      using _Stored_type = remove_const_t<_Tp>;

      struct _Empty_byte { };

      union {
   _Empty_byte _M_empty;
          _Stored_type _M_payload;
      };
      bool _M_engaged;
    };


  template <typename _Tp>
    struct _Optional_payload<_Tp, true, false, true>
    {
      constexpr _Optional_payload() noexcept
      : _M_empty(), _M_engaged(false) { }

      template<typename... _Args>
 constexpr
 _Optional_payload(in_place_t, _Args&&... __args)
 : _M_payload(std::forward<_Args>(__args)...), _M_engaged(true)
 { }

      template<typename _Up, typename... _Args>
 constexpr
 _Optional_payload(std::initializer_list<_Up> __il,
     _Args&&... __args)
 : _M_payload(__il, std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template <class _Up> struct __ctor_tag {};

      constexpr _Optional_payload(__ctor_tag<bool>, const _Tp& __other)
      : _M_payload(__other),
 _M_engaged(true)
      { }

      constexpr _Optional_payload(__ctor_tag<void>) noexcept
      : _M_empty(), _M_engaged(false)
      { }

      constexpr _Optional_payload(__ctor_tag<bool>, _Tp&& __other)
      : _M_payload(std::move(__other)),
 _M_engaged(true)
      { }

      constexpr
      _Optional_payload(bool __engaged, const _Optional_payload& __other)
      : _Optional_payload(__engaged ?
     _Optional_payload(__ctor_tag<bool>{},
         __other._M_payload) :
     _Optional_payload(__ctor_tag<void>{}))
      { }

      constexpr
      _Optional_payload(bool __engaged, _Optional_payload&& __other)
      : _Optional_payload(__engaged
     ? _Optional_payload(__ctor_tag<bool>{},
           std::move(__other._M_payload))
     : _Optional_payload(__ctor_tag<void>{}))
      { }

      _Optional_payload(const _Optional_payload&) = default;
      _Optional_payload(_Optional_payload&&) = default;

      constexpr
      _Optional_payload&
      operator=(const _Optional_payload& __other)
      {
        if (this->_M_engaged && __other._M_engaged)
          this->_M_get() = __other._M_get();
        else
   {
     if (__other._M_engaged)
       this->_M_construct(__other._M_get());
     else
       this->_M_reset();
   }
 return *this;
      }

      _Optional_payload&
      operator=(_Optional_payload&& __other) = default;

      using _Stored_type = remove_const_t<_Tp>;

      struct _Empty_byte { };

      union {
          _Empty_byte _M_empty;
          _Stored_type _M_payload;
      };
      bool _M_engaged;

      template<typename... _Args>
        void
        _M_construct(_Args&&... __args)
        noexcept(is_nothrow_constructible_v<_Stored_type, _Args...>)
        {
          ::new ((void *) std::__addressof(this->_M_payload))
            _Stored_type(std::forward<_Args>(__args)...);
          this->_M_engaged = true;
        }


      constexpr _Tp&
      _M_get() noexcept
      { return this->_M_payload; }

      constexpr const _Tp&
      _M_get() const noexcept
      { return this->_M_payload; }


      constexpr
      void
      _M_reset() noexcept
      {
 if (this->_M_engaged)
   {
     this->_M_engaged = false;
     this->_M_payload.~_Stored_type();
   }
      }
    };


  template <typename _Tp>
    struct _Optional_payload<_Tp, true, true, false>
    {
      constexpr _Optional_payload() noexcept
      : _M_empty(), _M_engaged(false) { }

      template<typename... _Args>
 constexpr
 _Optional_payload(in_place_t, _Args&&... __args)
 : _M_payload(std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template<typename _Up, typename... _Args>
 constexpr
 _Optional_payload(std::initializer_list<_Up> __il,
     _Args&&... __args)
 : _M_payload(__il, std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template <class _Up> struct __ctor_tag {};

      constexpr
      _Optional_payload(__ctor_tag<bool>, const _Tp& __other)
      : _M_payload(__other),
 _M_engaged(true)
      { }

      constexpr _Optional_payload(__ctor_tag<void>) noexcept
      : _M_empty(), _M_engaged(false)
      { }

      constexpr _Optional_payload(__ctor_tag<bool>, _Tp&& __other)
      : _M_payload(std::move(__other)),
 _M_engaged(true)
      { }

      constexpr
      _Optional_payload(bool __engaged, const _Optional_payload& __other)
      : _Optional_payload(__engaged ?
     _Optional_payload(__ctor_tag<bool>{},
         __other._M_payload) :
     _Optional_payload(__ctor_tag<void>{}))
      { }

      constexpr
      _Optional_payload(bool __engaged, _Optional_payload&& __other)
      : _Optional_payload(__engaged
     ? _Optional_payload(__ctor_tag<bool>{},
           std::move(__other._M_payload))
     : _Optional_payload(__ctor_tag<void>{}))
      { }

      _Optional_payload(const _Optional_payload&) = default;
      _Optional_payload(_Optional_payload&&) = default;

      _Optional_payload&
      operator=(const _Optional_payload& __other) = default;

      constexpr
      _Optional_payload&
      operator=(_Optional_payload&& __other)
      noexcept(__and_v<is_nothrow_move_constructible<_Tp>,
         is_nothrow_move_assignable<_Tp>>)
      {
 if (this->_M_engaged && __other._M_engaged)
   this->_M_get() = std::move(__other._M_get());
 else
   {
     if (__other._M_engaged)
       this->_M_construct(std::move(__other._M_get()));
     else
       this->_M_reset();
   }
 return *this;
      }

      using _Stored_type = remove_const_t<_Tp>;

      struct _Empty_byte { };

      union {
          _Empty_byte _M_empty;
          _Stored_type _M_payload;
      };
      bool _M_engaged;

      template<typename... _Args>
        void
        _M_construct(_Args&&... __args)
        noexcept(is_nothrow_constructible_v<_Stored_type, _Args...>)
        {
          ::new ((void *) std::__addressof(this->_M_payload))
            _Stored_type(std::forward<_Args>(__args)...);
          this->_M_engaged = true;
        }


      constexpr _Tp&
      _M_get() noexcept
      { return this->_M_payload; }

      constexpr const _Tp&
      _M_get() const noexcept
      { return this->_M_payload; }


      constexpr
      void
      _M_reset() noexcept
      {
 if (this->_M_engaged)
   {
     this->_M_engaged = false;
     this->_M_payload.~_Stored_type();
   }
      }
    };


  template <typename _Tp>
    struct _Optional_payload<_Tp, true, false, false>
    {
      constexpr _Optional_payload() noexcept
      : _M_empty(), _M_engaged(false) {}

      template<typename... _Args>
 constexpr
 _Optional_payload(in_place_t, _Args&&... __args)
 : _M_payload(std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template<typename _Up, typename... _Args>
 constexpr
 _Optional_payload(std::initializer_list<_Up> __il,
     _Args&&... __args)
 : _M_payload(__il, std::forward<_Args>(__args)...),
   _M_engaged(true)
 { }

      template <class _Up> struct __ctor_tag {};

      constexpr _Optional_payload(__ctor_tag<bool>, const _Tp& __other)
      : _M_payload(__other),
     _M_engaged(true)
      { }

      constexpr _Optional_payload(__ctor_tag<void>) noexcept
      : _M_empty(), _M_engaged(false)
      { }

      constexpr _Optional_payload(__ctor_tag<bool>, _Tp&& __other)
      : _M_payload(std::move(__other)),
 _M_engaged(true)
      { }

      constexpr
      _Optional_payload(bool __engaged, const _Optional_payload& __other)
      : _Optional_payload(__engaged ?
     _Optional_payload(__ctor_tag<bool>{},
         __other._M_payload) :
     _Optional_payload(__ctor_tag<void>{}))
      { }

      constexpr
      _Optional_payload(bool __engaged, _Optional_payload&& __other)
      : _Optional_payload(__engaged
     ? _Optional_payload(__ctor_tag<bool>{},
           std::move(__other._M_payload))
     : _Optional_payload(__ctor_tag<void>{}))
      { }

      _Optional_payload(const _Optional_payload&) = default;
      _Optional_payload(_Optional_payload&&) = default;

      constexpr
      _Optional_payload&
      operator=(const _Optional_payload& __other)
      {
        if (this->_M_engaged && __other._M_engaged)
          this->_M_get() = __other._M_get();
        else
   {
     if (__other._M_engaged)
       this->_M_construct(__other._M_get());
     else
       this->_M_reset();
   }
 return *this;
      }

      constexpr
      _Optional_payload&
      operator=(_Optional_payload&& __other)
      noexcept(__and_v<is_nothrow_move_constructible<_Tp>,
         is_nothrow_move_assignable<_Tp>>)
      {
 if (this->_M_engaged && __other._M_engaged)
   this->_M_get() = std::move(__other._M_get());
 else
   {
     if (__other._M_engaged)
       this->_M_construct(std::move(__other._M_get()));
     else
       this->_M_reset();
   }
 return *this;
      }

      using _Stored_type = remove_const_t<_Tp>;

      struct _Empty_byte { };

      union {
          _Empty_byte _M_empty;
          _Stored_type _M_payload;
      };
      bool _M_engaged;

      template<typename... _Args>
        constexpr
        void
        _M_construct(_Args&&... __args)
        noexcept(is_nothrow_constructible_v<_Stored_type, _Args...>)
        {
          ::new ((void *) std::__addressof(this->_M_payload))
            _Stored_type(std::forward<_Args>(__args)...);
          this->_M_engaged = true;
        }


      constexpr _Tp&
      _M_get() noexcept
      { return this->_M_payload; }

      constexpr const _Tp&
      _M_get() const noexcept
      { return this->_M_payload; }


      constexpr
      void
      _M_reset() noexcept
      {
 if (this->_M_engaged)
   {
     this->_M_engaged = false;
     this->_M_payload.~_Stored_type();
   }
      }
    };

  template<typename _Tp, typename _Dp>
    class _Optional_base_impl
    {
    protected:
      using _Stored_type = remove_const_t<_Tp>;



      template<typename... _Args>
 void
 _M_construct(_Args&&... __args)
 noexcept(is_nothrow_constructible_v<_Stored_type, _Args...>)
 {
   ::new
     (std::__addressof(static_cast<_Dp*>(this)->_M_payload._M_payload))
     _Stored_type(std::forward<_Args>(__args)...);
   static_cast<_Dp*>(this)->_M_payload._M_engaged = true;
 }

      void
      _M_destruct() noexcept
      {
 static_cast<_Dp*>(this)->_M_payload._M_engaged = false;
 static_cast<_Dp*>(this)->_M_payload._M_payload.~_Stored_type();
      }


      constexpr
      void
      _M_reset() noexcept
      {
 if (static_cast<_Dp*>(this)->_M_payload._M_engaged)
   static_cast<_Dp*>(this)->_M_destruct();
      }
  };
# 714 "/opt/sutton/include/c++/9.0.0/optional" 3
  template<typename _Tp,
    bool = is_trivially_copy_constructible_v<_Tp>,
    bool = is_trivially_move_constructible_v<_Tp>>
    class _Optional_base

      : protected _Optional_base_impl<_Tp, _Optional_base<_Tp>>
    {
      friend class _Optional_base_impl<_Tp, _Optional_base<_Tp>>;

    public:

      constexpr _Optional_base() = default;


      template<typename... _Args,
        enable_if_t<is_constructible_v<_Tp, _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t, _Args&&... __args)
        : _M_payload(in_place,
       std::forward<_Args>(__args)...) { }

      template<typename _Up, typename... _Args,
               enable_if_t<is_constructible_v<_Tp,
           initializer_list<_Up>&,
           _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t,
                                          initializer_list<_Up> __il,
                                          _Args&&... __args)
        : _M_payload(in_place,
       __il, std::forward<_Args>(__args)...)
        { }


      constexpr _Optional_base(const _Optional_base& __other)
 : _M_payload(__other._M_payload._M_engaged,
       __other._M_payload)
      { }

      constexpr _Optional_base(_Optional_base&& __other)
      noexcept(is_nothrow_move_constructible_v<_Tp>)
 : _M_payload(__other._M_payload._M_engaged,
       std::move(__other._M_payload))
      { }


      _Optional_base& operator=(const _Optional_base&) = default;
      _Optional_base& operator=(_Optional_base&&) = default;

    protected:

      constexpr bool _M_is_engaged() const noexcept
      { return this->_M_payload._M_engaged; }


      constexpr _Tp&
 _M_get() noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

      constexpr const _Tp&
 _M_get() const noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

    private:
      _Optional_payload<_Tp> _M_payload;
    };

  template<typename _Tp>
    class _Optional_base<_Tp, false, true>
      : protected _Optional_base_impl<_Tp, _Optional_base<_Tp>>
    {
      friend class _Optional_base_impl<_Tp, _Optional_base<_Tp>>;
    public:


      constexpr _Optional_base() = default;


      template<typename... _Args,
        enable_if_t<is_constructible_v<_Tp, _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t, _Args&&... __args)
        : _M_payload(in_place,
       std::forward<_Args>(__args)...) { }

      template<typename _Up, typename... _Args,
               enable_if_t<is_constructible_v<_Tp,
           initializer_list<_Up>&,
           _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t,
                                          initializer_list<_Up> __il,
                                          _Args&&... __args)
        : _M_payload(in_place,
       __il, std::forward<_Args>(__args)...)
        { }


      constexpr _Optional_base(const _Optional_base& __other)
 : _M_payload(__other._M_payload._M_engaged,
       __other._M_payload)
      { }

      constexpr _Optional_base(_Optional_base&& __other) = default;


      _Optional_base& operator=(const _Optional_base&) = default;
      _Optional_base& operator=(_Optional_base&&) = default;

    protected:

      constexpr bool _M_is_engaged() const noexcept
      { return this->_M_payload._M_engaged; }


      constexpr _Tp&
 _M_get() noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

      constexpr const _Tp&
 _M_get() const noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

    private:
      _Optional_payload<_Tp> _M_payload;
    };

  template<typename _Tp>
    class _Optional_base<_Tp, true, false>
      : protected _Optional_base_impl<_Tp, _Optional_base<_Tp>>
    {
      friend class _Optional_base_impl<_Tp, _Optional_base<_Tp>>;
    public:


      constexpr _Optional_base() = default;


      template<typename... _Args,
        enable_if_t<is_constructible_v<_Tp, _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t, _Args&&... __args)
        : _M_payload(in_place,
       std::forward<_Args>(__args)...) { }

      template<typename _Up, typename... _Args,
               enable_if_t<is_constructible_v<_Tp,
           initializer_list<_Up>&,
           _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t,
                                          initializer_list<_Up> __il,
                                          _Args&&... __args)
        : _M_payload(in_place,
       __il, std::forward<_Args>(__args)...)
        { }


      constexpr _Optional_base(const _Optional_base& __other) = default;

      constexpr _Optional_base(_Optional_base&& __other)
      noexcept(is_nothrow_move_constructible_v<_Tp>)
 : _M_payload(__other._M_payload._M_engaged,
       std::move(__other._M_payload))
      { }


      _Optional_base& operator=(const _Optional_base&) = default;
      _Optional_base& operator=(_Optional_base&&) = default;

    protected:

      constexpr bool _M_is_engaged() const noexcept
      { return this->_M_payload._M_engaged; }


      constexpr _Tp&
 _M_get() noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

      constexpr const _Tp&
 _M_get() const noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

    private:
      _Optional_payload<_Tp> _M_payload;
    };

  template<typename _Tp>
    class _Optional_base<_Tp, true, true>
      : protected _Optional_base_impl<_Tp, _Optional_base<_Tp>>
    {
      friend class _Optional_base_impl<_Tp, _Optional_base<_Tp>>;
    public:


      constexpr _Optional_base() = default;


      template<typename... _Args,
        enable_if_t<is_constructible_v<_Tp, _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t, _Args&&... __args)
        : _M_payload(in_place,
       std::forward<_Args>(__args)...) { }

      template<typename _Up, typename... _Args,
               enable_if_t<is_constructible_v<_Tp,
           initializer_list<_Up>&,
           _Args&&...>, bool> = false>
        constexpr explicit _Optional_base(in_place_t,
                                          initializer_list<_Up> __il,
                                          _Args&&... __args)
        : _M_payload(in_place,
       __il, std::forward<_Args>(__args)...)
        { }


      constexpr _Optional_base(const _Optional_base& __other) = default;
      constexpr _Optional_base(_Optional_base&& __other) = default;


      _Optional_base& operator=(const _Optional_base&) = default;
      _Optional_base& operator=(_Optional_base&&) = default;

    protected:

      constexpr bool _M_is_engaged() const noexcept
      { return this->_M_payload._M_engaged; }


      constexpr _Tp&
 _M_get() noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

      constexpr const _Tp&
 _M_get() const noexcept
      {
 ;
 return this->_M_payload._M_payload;
      }

    private:
      _Optional_payload<_Tp> _M_payload;
    };

  template<typename _Tp>
  class optional;

  template<typename _Tp, typename _Up>
    using __converts_from_optional =
      __or_<is_constructible<_Tp, const optional<_Up>&>,
     is_constructible<_Tp, optional<_Up>&>,
     is_constructible<_Tp, const optional<_Up>&&>,
     is_constructible<_Tp, optional<_Up>&&>,
     is_convertible<const optional<_Up>&, _Tp>,
     is_convertible<optional<_Up>&, _Tp>,
     is_convertible<const optional<_Up>&&, _Tp>,
     is_convertible<optional<_Up>&&, _Tp>>;

  template<typename _Tp, typename _Up>
    using __assigns_from_optional =
      __or_<is_assignable<_Tp&, const optional<_Up>&>,
     is_assignable<_Tp&, optional<_Up>&>,
     is_assignable<_Tp&, const optional<_Up>&&>,
     is_assignable<_Tp&, optional<_Up>&&>>;




  template<typename _Tp>
    class optional
    : private _Optional_base<_Tp>,
      private _Enable_copy_move<

 is_copy_constructible_v<_Tp>,

 __and_v<is_copy_constructible<_Tp>, is_copy_assignable<_Tp>>,

 is_move_constructible_v<_Tp>,

 __and_v<is_move_constructible<_Tp>, is_move_assignable<_Tp>>,

 optional<_Tp>>
    {
      static_assert(!is_same_v<remove_cv_t<_Tp>, nullopt_t>);
      static_assert(!is_same_v<remove_cv_t<_Tp>, in_place_t>);
      static_assert(!is_reference_v<_Tp>);

    private:
      using _Base = _Optional_base<_Tp>;


      template<typename _Up>
 using __not_self = __not_<is_same<optional, __remove_cvref_t<_Up>>>;
      template<typename _Up>
 using __not_tag = __not_<is_same<in_place_t, __remove_cvref_t<_Up>>>;
      template<typename... _Cond>
 using _Requires = enable_if_t<__and_v<_Cond...>, bool>;

    public:
      using value_type = _Tp;

      constexpr optional() = default;

      constexpr optional(nullopt_t) noexcept { }


      template<typename _Up = _Tp,
        _Requires<__not_self<_Up>, __not_tag<_Up>,
    is_constructible<_Tp, _Up&&>,
    is_convertible<_Up&&, _Tp>> = true>
 constexpr
 optional(_Up&& __t)
 : _Base(std::in_place, std::forward<_Up>(__t)) { }

      template<typename _Up = _Tp,
        _Requires<__not_self<_Up>, __not_tag<_Up>,
    is_constructible<_Tp, _Up&&>,
    __not_<is_convertible<_Up&&, _Tp>>> = false>
 explicit constexpr
 optional(_Up&& __t)
        : _Base(std::in_place, std::forward<_Up>(__t)) { }

      template<typename _Up,
        _Requires<__not_<is_same<_Tp, _Up>>,
    is_constructible<_Tp, const _Up&>,
    is_convertible<const _Up&, _Tp>,
    __not_<__converts_from_optional<_Tp, _Up>>> = true>
 constexpr
 optional(const optional<_Up>& __t)
 {
   if (__t)
     emplace(*__t);
 }

      template<typename _Up,
        _Requires<__not_<is_same<_Tp, _Up>>,
    is_constructible<_Tp, const _Up&>,
    __not_<is_convertible<const _Up&, _Tp>>,
    __not_<__converts_from_optional<_Tp, _Up>>> = false>
 explicit constexpr
 optional(const optional<_Up>& __t)
 {
   if (__t)
     emplace(*__t);
 }

      template <typename _Up,
  _Requires<__not_<is_same<_Tp, _Up>>,
     is_constructible<_Tp, _Up&&>,
     is_convertible<_Up&&, _Tp>,
     __not_<__converts_from_optional<_Tp, _Up>>> = true>
 constexpr
 optional(optional<_Up>&& __t)
 {
   if (__t)
     emplace(std::move(*__t));
 }

      template <typename _Up,
  _Requires<__not_<is_same<_Tp, _Up>>,
     is_constructible<_Tp, _Up&&>,
     __not_<is_convertible<_Up&&, _Tp>>,
     __not_<__converts_from_optional<_Tp, _Up>>> = false>
 explicit constexpr
 optional(optional<_Up>&& __t)
 {
   if (__t)
     emplace(std::move(*__t));
 }

      template<typename... _Args,
        _Requires<is_constructible<_Tp, _Args&&...>> = false>
 explicit constexpr
 optional(in_place_t, _Args&&... __args)
 : _Base(std::in_place, std::forward<_Args>(__args)...) { }

      template<typename _Up, typename... _Args,
        _Requires<is_constructible<_Tp,
       initializer_list<_Up>&,
       _Args&&...>> = false>
 explicit constexpr
 optional(in_place_t, initializer_list<_Up> __il, _Args&&... __args)
 : _Base(std::in_place, __il, std::forward<_Args>(__args)...) { }


      optional&
      operator=(nullopt_t) noexcept
      {
 this->_M_reset();
 return *this;
      }

      template<typename _Up = _Tp>
 enable_if_t<__and_v<__not_self<_Up>,
       __not_<__and_<is_scalar<_Tp>,
       is_same<_Tp, decay_t<_Up>>>>,
       is_constructible<_Tp, _Up>,
       is_assignable<_Tp&, _Up>>,
      optional&>
 operator=(_Up&& __u)
 {
   if (this->_M_is_engaged())
     this->_M_get() = std::forward<_Up>(__u);
   else
     this->_M_construct(std::forward<_Up>(__u));

   return *this;
 }

      template<typename _Up>
 enable_if_t<__and_v<__not_<is_same<_Tp, _Up>>,
       is_constructible<_Tp, const _Up&>,
       is_assignable<_Tp&, _Up>,
       __not_<__converts_from_optional<_Tp, _Up>>,
       __not_<__assigns_from_optional<_Tp, _Up>>>,
      optional&>
 operator=(const optional<_Up>& __u)
 {
   if (__u)
     {
       if (this->_M_is_engaged())
  this->_M_get() = *__u;
       else
  this->_M_construct(*__u);
     }
   else
     {
       this->_M_reset();
     }
   return *this;
 }

      template<typename _Up>
        enable_if_t<__and_v<__not_<is_same<_Tp, _Up>>,
       is_constructible<_Tp, _Up>,
       is_assignable<_Tp&, _Up>,
       __not_<__converts_from_optional<_Tp, _Up>>,
       __not_<__assigns_from_optional<_Tp, _Up>>>,
      optional&>
 operator=(optional<_Up>&& __u)
 {
   if (__u)
     {
       if (this->_M_is_engaged())
  this->_M_get() = std::move(*__u);
       else
  this->_M_construct(std::move(*__u));
     }
   else
     {
       this->_M_reset();
     }

   return *this;
 }

      template<typename... _Args>
 enable_if_t<is_constructible_v<_Tp, _Args&&...>, _Tp&>
 emplace(_Args&&... __args)
 {
   this->_M_reset();
   this->_M_construct(std::forward<_Args>(__args)...);
   return this->_M_get();
 }

      template<typename _Up, typename... _Args>
 enable_if_t<is_constructible_v<_Tp, initializer_list<_Up>&,
           _Args&&...>, _Tp&>
 emplace(initializer_list<_Up> __il, _Args&&... __args)
 {
   this->_M_reset();
   this->_M_construct(__il, std::forward<_Args>(__args)...);
   return this->_M_get();
 }




      void
      swap(optional& __other)
      noexcept(is_nothrow_move_constructible_v<_Tp>
        && is_nothrow_swappable_v<_Tp>)
      {
 using std::swap;

 if (this->_M_is_engaged() && __other._M_is_engaged())
   swap(this->_M_get(), __other._M_get());
 else if (this->_M_is_engaged())
   {
     __other._M_construct(std::move(this->_M_get()));
     this->_M_destruct();
   }
 else if (__other._M_is_engaged())
   {
     this->_M_construct(std::move(__other._M_get()));
     __other._M_destruct();
   }
      }


      constexpr const _Tp*
      operator->() const
      { return std::__addressof(this->_M_get()); }

      constexpr
      _Tp*
      operator->()
      { return std::__addressof(this->_M_get()); }

      constexpr const _Tp&
      operator*() const&
      { return this->_M_get(); }

      constexpr _Tp&
      operator*()&
      { return this->_M_get(); }

      constexpr _Tp&&
      operator*()&&
      { return std::move(this->_M_get()); }

      constexpr const _Tp&&
      operator*() const&&
      { return std::move(this->_M_get()); }

      constexpr explicit operator bool() const noexcept
      { return this->_M_is_engaged(); }

      constexpr bool has_value() const noexcept
      { return this->_M_is_engaged(); }

      constexpr const _Tp&
      value() const&
      {
 return this->_M_is_engaged()
   ? this->_M_get()
   : (__throw_bad_optional_access(),
      this->_M_get());
      }

      constexpr _Tp&
      value()&
      {
 return this->_M_is_engaged()
   ? this->_M_get()
   : (__throw_bad_optional_access(),
      this->_M_get());
      }

      constexpr _Tp&&
      value()&&
      {
 return this->_M_is_engaged()
   ? std::move(this->_M_get())
   : (__throw_bad_optional_access(),
      std::move(this->_M_get()));
      }

      constexpr const _Tp&&
      value() const&&
      {
 return this->_M_is_engaged()
   ? std::move(this->_M_get())
   : (__throw_bad_optional_access(),
      std::move(this->_M_get()));
      }

      template<typename _Up>
 constexpr _Tp
 value_or(_Up&& __u) const&
 {
   static_assert(is_copy_constructible_v<_Tp>);
   static_assert(is_convertible_v<_Up&&, _Tp>);

   return this->_M_is_engaged()
     ? this->_M_get()
     : static_cast<_Tp>(std::forward<_Up>(__u));
 }

      template<typename _Up>
 _Tp
 value_or(_Up&& __u) &&
 {
   static_assert(is_move_constructible_v<_Tp>);
   static_assert(is_convertible_v<_Up&&, _Tp>);

   return this->_M_is_engaged()
     ? std::move(this->_M_get())
     : static_cast<_Tp>(std::forward<_Up>(__u));
 }

      void reset() noexcept { this->_M_reset(); }
    };

  template<typename _Tp>
    using __optional_relop_t =
      enable_if_t<is_convertible<_Tp, bool>::value, bool>;


  template<typename _Tp, typename _Up>
    constexpr auto
    operator==(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() == declval<_Up>())>
    {
      return static_cast<bool>(__lhs) == static_cast<bool>(__rhs)
      && (!__lhs || *__lhs == *__rhs);
    }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator!=(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() != declval<_Up>())>
    {
      return static_cast<bool>(__lhs) != static_cast<bool>(__rhs)
 || (static_cast<bool>(__lhs) && *__lhs != *__rhs);
    }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() < declval<_Up>())>
    {
      return static_cast<bool>(__rhs) && (!__lhs || *__lhs < *__rhs);
    }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() > declval<_Up>())>
    {
      return static_cast<bool>(__lhs) && (!__rhs || *__lhs > *__rhs);
    }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<=(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() <= declval<_Up>())>
    {
      return !__lhs || (static_cast<bool>(__rhs) && *__lhs <= *__rhs);
    }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>=(const optional<_Tp>& __lhs, const optional<_Up>& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() >= declval<_Up>())>
    {
      return !__rhs || (static_cast<bool>(__lhs) && *__lhs >= *__rhs);
    }


  template<typename _Tp>
    constexpr bool
    operator==(const optional<_Tp>& __lhs, nullopt_t) noexcept
    { return !__lhs; }

  template<typename _Tp>
    constexpr bool
    operator==(nullopt_t, const optional<_Tp>& __rhs) noexcept
    { return !__rhs; }

  template<typename _Tp>
    constexpr bool
    operator!=(const optional<_Tp>& __lhs, nullopt_t) noexcept
    { return static_cast<bool>(__lhs); }

  template<typename _Tp>
    constexpr bool
    operator!=(nullopt_t, const optional<_Tp>& __rhs) noexcept
    { return static_cast<bool>(__rhs); }

  template<typename _Tp>
    constexpr bool
    operator<(const optional<_Tp>& , nullopt_t) noexcept
    { return false; }

  template<typename _Tp>
    constexpr bool
    operator<(nullopt_t, const optional<_Tp>& __rhs) noexcept
    { return static_cast<bool>(__rhs); }

  template<typename _Tp>
    constexpr bool
    operator>(const optional<_Tp>& __lhs, nullopt_t) noexcept
    { return static_cast<bool>(__lhs); }

  template<typename _Tp>
    constexpr bool
    operator>(nullopt_t, const optional<_Tp>& ) noexcept
    { return false; }

  template<typename _Tp>
    constexpr bool
    operator<=(const optional<_Tp>& __lhs, nullopt_t) noexcept
    { return !__lhs; }

  template<typename _Tp>
    constexpr bool
    operator<=(nullopt_t, const optional<_Tp>& ) noexcept
    { return true; }

  template<typename _Tp>
    constexpr bool
    operator>=(const optional<_Tp>& , nullopt_t) noexcept
    { return true; }

  template<typename _Tp>
    constexpr bool
    operator>=(nullopt_t, const optional<_Tp>& __rhs) noexcept
    { return !__rhs; }


  template<typename _Tp, typename _Up>
    constexpr auto
    operator==(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() == declval<_Up>())>
    { return __lhs && *__lhs == __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator==(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() == declval<_Tp>())>
    { return __rhs && __lhs == *__rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator!=(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() != declval<_Up>())>
    { return !__lhs || *__lhs != __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator!=(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() != declval<_Tp>())>
    { return !__rhs || __lhs != *__rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() < declval<_Up>())>
    { return !__lhs || *__lhs < __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() < declval<_Tp>())>
    { return __rhs && __lhs < *__rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() > declval<_Up>())>
    { return __lhs && *__lhs > __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() > declval<_Tp>())>
    { return !__rhs || __lhs > *__rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<=(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() <= declval<_Up>())>
    { return !__lhs || *__lhs <= __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator<=(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() <= declval<_Tp>())>
    { return __rhs && __lhs <= *__rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>=(const optional<_Tp>& __lhs, const _Up& __rhs)
    -> __optional_relop_t<decltype(declval<_Tp>() >= declval<_Up>())>
    { return __lhs && *__lhs >= __rhs; }

  template<typename _Tp, typename _Up>
    constexpr auto
    operator>=(const _Up& __lhs, const optional<_Tp>& __rhs)
    -> __optional_relop_t<decltype(declval<_Up>() >= declval<_Tp>())>
    { return !__rhs || __lhs >= *__rhs; }





  template<typename _Tp>
    inline enable_if_t<is_move_constructible_v<_Tp> && is_swappable_v<_Tp>>
    swap(optional<_Tp>& __lhs, optional<_Tp>& __rhs)
    noexcept(noexcept(__lhs.swap(__rhs)))
    { __lhs.swap(__rhs); }

  template<typename _Tp>
    enable_if_t<!(is_move_constructible_v<_Tp> && is_swappable_v<_Tp>)>
    swap(optional<_Tp>&, optional<_Tp>&) = delete;

  template<typename _Tp>
    constexpr optional<decay_t<_Tp>>
    make_optional(_Tp&& __t)
    { return optional<decay_t<_Tp>> { std::forward<_Tp>(__t) }; }

  template<typename _Tp, typename ..._Args>
    constexpr optional<_Tp>
    make_optional(_Args&&... __args)
    { return optional<_Tp> { in_place, std::forward<_Args>(__args)... }; }

  template<typename _Tp, typename _Up, typename ..._Args>
    constexpr optional<_Tp>
    make_optional(initializer_list<_Up> __il, _Args&&... __args)
    { return optional<_Tp> { in_place, __il, std::forward<_Args>(__args)... }; }



  template<typename _Tp, typename _Up = remove_const_t<_Tp>,
           bool = __poison_hash<_Up>::__enable_hash_call>
    struct __optional_hash_call_base
    {
      size_t
      operator()(const optional<_Tp>& __t) const
      noexcept(noexcept(hash<_Up>{}(*__t)))
      {


        constexpr size_t __magic_disengaged_hash = static_cast<size_t>(-3333);
        return __t ? hash<_Up>{}(*__t) : __magic_disengaged_hash;
      }
    };

  template<typename _Tp, typename _Up>
    struct __optional_hash_call_base<_Tp, _Up, false> {};

  template<typename _Tp>
    struct hash<optional<_Tp>>
    : private __poison_hash<remove_const_t<_Tp>>,
      public __optional_hash_call_base<_Tp>
    {
      using result_type [[__deprecated__]] = size_t;
      using argument_type [[__deprecated__]] = optional<_Tp>;
    };

  template<typename _Tp>
    struct __is_fast_hash<hash<optional<_Tp>>> : __is_fast_hash<hash<_Tp>>
    { };




  template <typename _Tp> optional(_Tp) -> optional<_Tp>;



}
# 40 "/opt/sutton/include/c++/9.0.0/bits/node_handle.h" 2 3



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



  template<typename _Val, typename _NodeAlloc>
    class _Node_handle_common
    {
      using _AllocTraits = allocator_traits<_NodeAlloc>;

    public:
      using allocator_type = __alloc_rebind<_NodeAlloc, _Val>;

      allocator_type
      get_allocator() const noexcept
      {
 ;
 return allocator_type(*_M_alloc);
      }

      explicit operator bool() const noexcept { return _M_ptr != nullptr; }

      [[nodiscard]] bool empty() const noexcept { return _M_ptr == nullptr; }

    protected:
      constexpr _Node_handle_common() noexcept : _M_ptr(), _M_alloc() {}

      ~_Node_handle_common() { _M_destroy(); }

      _Node_handle_common(_Node_handle_common&& __nh) noexcept
      : _M_ptr(__nh._M_ptr), _M_alloc(std::move(__nh._M_alloc))
      {
 __nh._M_ptr = nullptr;
 __nh._M_alloc = nullopt;
      }

      _Node_handle_common&
      operator=(_Node_handle_common&& __nh) noexcept
      {
 _M_destroy();
 _M_ptr = __nh._M_ptr;
 if constexpr (is_move_assignable_v<_NodeAlloc>)
   {
     if (_AllocTraits::propagate_on_container_move_assignment::value
  || !this->_M_alloc)
       this->_M_alloc = std::move(__nh._M_alloc);
     else
       {
  ;
       }
   }
 else
   {
     ;
   }
 __nh._M_ptr = nullptr;
 __nh._M_alloc = nullopt;
 return *this;
      }

      _Node_handle_common(typename _AllocTraits::pointer __ptr,
     const _NodeAlloc& __alloc)
      : _M_ptr(__ptr), _M_alloc(__alloc) { }

      void
      _M_swap(_Node_handle_common& __nh) noexcept
      {
 using std::swap;
 swap(_M_ptr, __nh._M_ptr);
 if (_AllocTraits::propagate_on_container_swap::value
     || !_M_alloc || !__nh._M_alloc)
   _M_alloc.swap(__nh._M_alloc);
 else
   {
     ;
   }
      }

    private:
      void
      _M_destroy() noexcept
      {
 if (_M_ptr != nullptr)
   {
     allocator_type __alloc(*_M_alloc);
     allocator_traits<allocator_type>::destroy(__alloc,
            _M_ptr->_M_valptr());
     _AllocTraits::deallocate(*_M_alloc, _M_ptr, 1);
   }
      }

    protected:
      typename _AllocTraits::pointer _M_ptr;
    private:
      optional<_NodeAlloc> _M_alloc;

      template<typename _Key2, typename _Value2, typename _KeyOfValue,
        typename _Compare, typename _ValueAlloc>
 friend class _Rb_tree;
    };


  template<typename _Key, typename _Value, typename _NodeAlloc>
    class _Node_handle : public _Node_handle_common<_Value, _NodeAlloc>
    {
    public:
      constexpr _Node_handle() noexcept = default;
      ~_Node_handle() = default;
      _Node_handle(_Node_handle&&) noexcept = default;

      _Node_handle&
      operator=(_Node_handle&&) noexcept = default;

      using key_type = _Key;
      using mapped_type = typename _Value::second_type;

      key_type&
      key() const noexcept
      {
 ;
 return *_M_pkey;
      }

      mapped_type&
      mapped() const noexcept
      {
 ;
 return *_M_pmapped;
      }

      void
      swap(_Node_handle& __nh) noexcept
      {
 this->_M_swap(__nh);
 using std::swap;
 swap(_M_pkey, __nh._M_pkey);
 swap(_M_pmapped, __nh._M_pmapped);
      }

      friend void
      swap(_Node_handle& __x, _Node_handle& __y)
      noexcept(noexcept(__x.swap(__y)))
      { __x.swap(__y); }

    private:
      using _AllocTraits = allocator_traits<_NodeAlloc>;

      _Node_handle(typename _AllocTraits::pointer __ptr,
     const _NodeAlloc& __alloc)
      : _Node_handle_common<_Value, _NodeAlloc>(__ptr, __alloc)
      {
 if (__ptr)
   {
     auto& __key = const_cast<_Key&>(__ptr->_M_valptr()->first);
     _M_pkey = _S_pointer_to(__key);
     _M_pmapped = _S_pointer_to(__ptr->_M_valptr()->second);
   }
 else
   {
     _M_pkey = nullptr;
     _M_pmapped = nullptr;
   }
      }

      template<typename _Tp>
 using __pointer
   = __ptr_rebind<typename _AllocTraits::pointer,
    remove_reference_t<_Tp>>;

      __pointer<_Key> _M_pkey = nullptr;
      __pointer<typename _Value::second_type> _M_pmapped = nullptr;

      template<typename _Tp>
 __pointer<_Tp>
 _S_pointer_to(_Tp& __obj)
 { return pointer_traits<__pointer<_Tp>>::pointer_to(__obj); }

      const key_type&
      _M_key() const noexcept { return key(); }

      template<typename _Key2, typename _Value2, typename _KeyOfValue,
        typename _Compare, typename _ValueAlloc>
 friend class _Rb_tree;

      template<typename _Key2, typename _Value2, typename _ValueAlloc,
        typename _ExtractKey, typename _Equal,
        typename _H1, typename _H2, typename _Hash,
        typename _RehashPolicy, typename _Traits>
 friend class _Hashtable;
    };


  template<typename _Value, typename _NodeAlloc>
    class _Node_handle<_Value, _Value, _NodeAlloc>
    : public _Node_handle_common<_Value, _NodeAlloc>
    {
    public:
      constexpr _Node_handle() noexcept = default;
      ~_Node_handle() = default;
      _Node_handle(_Node_handle&&) noexcept = default;

      _Node_handle&
      operator=(_Node_handle&&) noexcept = default;

      using value_type = _Value;

      value_type&
      value() const noexcept
      {
 ;
 return *this->_M_ptr->_M_valptr();
      }

      void
      swap(_Node_handle& __nh) noexcept
      { this->_M_swap(__nh); }

      friend void
      swap(_Node_handle& __x, _Node_handle& __y)
      noexcept(noexcept(__x.swap(__y)))
      { __x.swap(__y); }

    private:
      using _AllocTraits = allocator_traits<_NodeAlloc>;

      _Node_handle(typename _AllocTraits::pointer __ptr,
     const _NodeAlloc& __alloc)
      : _Node_handle_common<_Value, _NodeAlloc>(__ptr, __alloc) { }

      const value_type&
      _M_key() const noexcept { return value(); }

      template<typename _Key, typename _Val, typename _KeyOfValue,
        typename _Compare, typename _Alloc>
 friend class _Rb_tree;

      template<typename _Key2, typename _Value2, typename _ValueAlloc,
        typename _ExtractKey, typename _Equal,
        typename _H1, typename _H2, typename _Hash,
        typename _RehashPolicy, typename _Traits>
 friend class _Hashtable;
    };


  template<typename _Iterator, typename _NodeHandle>
    struct _Node_insert_return
    {
      _Iterator position = _Iterator();
      bool inserted = false;
      _NodeHandle node;
    };


}
# 38 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 2 3


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


  template<typename _Tp, typename _Hash>
    using __cache_default
      = __not_<__and_<
         __is_fast_hash<_Hash>,

         __is_nothrow_invocable<const _Hash&, const _Tp&>>>;
# 169 "/opt/sutton/include/c++/9.0.0/bits/hashtable.h" 3
  template<typename _Key, typename _Value, typename _Alloc,
    typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash,
    typename _RehashPolicy, typename _Traits>
    class _Hashtable
    : public __detail::_Hashtable_base<_Key, _Value, _ExtractKey, _Equal,
           _H1, _H2, _Hash, _Traits>,
      public __detail::_Map_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
     _H1, _H2, _Hash, _RehashPolicy, _Traits>,
      public __detail::_Insert<_Key, _Value, _Alloc, _ExtractKey, _Equal,
          _H1, _H2, _Hash, _RehashPolicy, _Traits>,
      public __detail::_Rehash_base<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>,
      public __detail::_Equality<_Key, _Value, _Alloc, _ExtractKey, _Equal,
     _H1, _H2, _Hash, _RehashPolicy, _Traits>,
      private __detail::_Hashtable_alloc<
 __alloc_rebind<_Alloc,
         __detail::_Hash_node<_Value,
         _Traits::__hash_cached::value>>>
    {
      static_assert(is_same<typename remove_cv<_Value>::type, _Value>::value,
   "unordered container must have a non-const, non-volatile value_type");

      static_assert(is_same<typename _Alloc::value_type, _Value>{},
   "unordered container must have the same value_type as its allocator");

      static_assert(__is_invocable<const _H1&, const _Key&>{},
   "hash function must be invocable with an argument of key type");
      static_assert(__is_invocable<const _Equal&, const _Key&, const _Key&>{},
   "key equality predicate must be invocable with two arguments of "
   "key type");

      using __traits_type = _Traits;
      using __hash_cached = typename __traits_type::__hash_cached;
      using __node_type = __detail::_Hash_node<_Value, __hash_cached::value>;
      using __node_alloc_type = __alloc_rebind<_Alloc, __node_type>;

      using __hashtable_alloc = __detail::_Hashtable_alloc<__node_alloc_type>;

      using __value_alloc_traits =
 typename __hashtable_alloc::__value_alloc_traits;
      using __node_alloc_traits =
 typename __hashtable_alloc::__node_alloc_traits;
      using __node_base = typename __hashtable_alloc::__node_base;
      using __bucket_type = typename __hashtable_alloc::__bucket_type;

    public:
      typedef _Key key_type;
      typedef _Value value_type;
      typedef _Alloc allocator_type;
      typedef _Equal key_equal;



      typedef typename __value_alloc_traits::pointer pointer;
      typedef typename __value_alloc_traits::const_pointer const_pointer;
      typedef value_type& reference;
      typedef const value_type& const_reference;

    private:
      using __rehash_type = _RehashPolicy;
      using __rehash_state = typename __rehash_type::_State;

      using __constant_iterators = typename __traits_type::__constant_iterators;
      using __unique_keys = typename __traits_type::__unique_keys;

      using __key_extract = typename std::conditional<
          __constant_iterators::value,
                 __detail::_Identity,
          __detail::_Select1st>::type;

      using __hashtable_base = __detail::
          _Hashtable_base<_Key, _Value, _ExtractKey,
           _Equal, _H1, _H2, _Hash, _Traits>;

      using __hash_code_base = typename __hashtable_base::__hash_code_base;
      using __hash_code = typename __hashtable_base::__hash_code;
      using __ireturn_type = typename __hashtable_base::__ireturn_type;

      using __map_base = __detail::_Map_base<_Key, _Value, _Alloc, _ExtractKey,
          _Equal, _H1, _H2, _Hash,
          _RehashPolicy, _Traits>;

      using __rehash_base = __detail::_Rehash_base<_Key, _Value, _Alloc,
         _ExtractKey, _Equal,
         _H1, _H2, _Hash,
         _RehashPolicy, _Traits>;

      using __eq_base = __detail::_Equality<_Key, _Value, _Alloc, _ExtractKey,
         _Equal, _H1, _H2, _Hash,
         _RehashPolicy, _Traits>;

      using __reuse_or_alloc_node_type =
 __detail::_ReuseOrAllocNode<__node_alloc_type>;


      template<typename _Cond>
 using __if_hash_cached = __or_<__not_<__hash_cached>, _Cond>;

      template<typename _Cond>
 using __if_hash_not_cached = __or_<__hash_cached, _Cond>;





      struct __hash_code_base_access : __hash_code_base
      { using __hash_code_base::_M_bucket_index; };



      static_assert(noexcept(declval<const __hash_code_base_access&>()
        ._M_bucket_index((const __node_type*)nullptr,
           (std::size_t)0)),
      "Cache the hash code or qualify your functors involved"
      " in hash code and bucket index computation with noexcept");






      static_assert(__if_hash_cached<is_default_constructible<_H2>>::value,
      "Functor used to map hash code to bucket index"
      " must be default constructible");

      template<typename _Keya, typename _Valuea, typename _Alloca,
        typename _ExtractKeya, typename _Equala,
        typename _H1a, typename _H2a, typename _Hasha,
        typename _RehashPolicya, typename _Traitsa,
        bool _Unique_keysa>
 friend struct __detail::_Map_base;

      template<typename _Keya, typename _Valuea, typename _Alloca,
        typename _ExtractKeya, typename _Equala,
        typename _H1a, typename _H2a, typename _Hasha,
        typename _RehashPolicya, typename _Traitsa>
 friend struct __detail::_Insert_base;

      template<typename _Keya, typename _Valuea, typename _Alloca,
        typename _ExtractKeya, typename _Equala,
        typename _H1a, typename _H2a, typename _Hasha,
        typename _RehashPolicya, typename _Traitsa,
        bool _Constant_iteratorsa>
 friend struct __detail::_Insert;

    public:
      using size_type = typename __hashtable_base::size_type;
      using difference_type = typename __hashtable_base::difference_type;

      using iterator = typename __hashtable_base::iterator;
      using const_iterator = typename __hashtable_base::const_iterator;

      using local_iterator = typename __hashtable_base::local_iterator;
      using const_local_iterator = typename __hashtable_base::
       const_local_iterator;


      using node_type = _Node_handle<_Key, _Value, __node_alloc_type>;
      using insert_return_type = _Node_insert_return<iterator, node_type>;


    private:
      __bucket_type* _M_buckets = &_M_single_bucket;
      size_type _M_bucket_count = 1;
      __node_base _M_before_begin;
      size_type _M_element_count = 0;
      _RehashPolicy _M_rehash_policy;







      __bucket_type _M_single_bucket = nullptr;

      bool
      _M_uses_single_bucket(__bucket_type* __bkts) const
      { return __builtin_expect(__bkts == &_M_single_bucket, false); }

      bool
      _M_uses_single_bucket() const
      { return _M_uses_single_bucket(_M_buckets); }

      __hashtable_alloc&
      _M_base_alloc() { return *this; }

      __bucket_type*
      _M_allocate_buckets(size_type __n)
      {
 if (__builtin_expect(__n == 1, false))
   {
     _M_single_bucket = nullptr;
     return &_M_single_bucket;
   }

 return __hashtable_alloc::_M_allocate_buckets(__n);
      }

      void
      _M_deallocate_buckets(__bucket_type* __bkts, size_type __n)
      {
 if (_M_uses_single_bucket(__bkts))
   return;

 __hashtable_alloc::_M_deallocate_buckets(__bkts, __n);
      }

      void
      _M_deallocate_buckets()
      { _M_deallocate_buckets(_M_buckets, _M_bucket_count); }



      __node_type*
      _M_bucket_begin(size_type __bkt) const;

      __node_type*
      _M_begin() const
      { return static_cast<__node_type*>(_M_before_begin._M_nxt); }



      template<typename _Ht, typename _NodeGenerator>
 void
 _M_assign_elements(_Ht&&, const _NodeGenerator&);

      template<typename _NodeGenerator>
 void
 _M_assign(const _Hashtable&, const _NodeGenerator&);

      void
      _M_move_assign(_Hashtable&&, std::true_type);

      void
      _M_move_assign(_Hashtable&&, std::false_type);

      void
      _M_reset() noexcept;

      _Hashtable(const _H1& __h1, const _H2& __h2, const _Hash& __h,
   const _Equal& __eq, const _ExtractKey& __exk,
   const allocator_type& __a)
 : __hashtable_base(__exk, __h1, __h2, __h, __eq),
   __hashtable_alloc(__node_alloc_type(__a))
      { }

    public:

      _Hashtable() = default;
      _Hashtable(size_type __bucket_hint,
   const _H1&, const _H2&, const _Hash&,
   const _Equal&, const _ExtractKey&,
   const allocator_type&);

      template<typename _InputIterator>
 _Hashtable(_InputIterator __first, _InputIterator __last,
     size_type __bucket_hint,
     const _H1&, const _H2&, const _Hash&,
     const _Equal&, const _ExtractKey&,
     const allocator_type&);

      _Hashtable(const _Hashtable&);

      _Hashtable(_Hashtable&&) noexcept;

      _Hashtable(const _Hashtable&, const allocator_type&);

      _Hashtable(_Hashtable&&, const allocator_type&);


      explicit
      _Hashtable(const allocator_type& __a)
 : __hashtable_alloc(__node_alloc_type(__a))
      { }

      explicit
      _Hashtable(size_type __n,
   const _H1& __hf = _H1(),
   const key_equal& __eql = key_equal(),
   const allocator_type& __a = allocator_type())
      : _Hashtable(__n, __hf, _H2(), _Hash(), __eql,
     __key_extract(), __a)
      { }

      template<typename _InputIterator>
 _Hashtable(_InputIterator __f, _InputIterator __l,
     size_type __n = 0,
     const _H1& __hf = _H1(),
     const key_equal& __eql = key_equal(),
     const allocator_type& __a = allocator_type())
 : _Hashtable(__f, __l, __n, __hf, _H2(), _Hash(), __eql,
       __key_extract(), __a)
 { }

      _Hashtable(initializer_list<value_type> __l,
   size_type __n = 0,
   const _H1& __hf = _H1(),
   const key_equal& __eql = key_equal(),
   const allocator_type& __a = allocator_type())
      : _Hashtable(__l.begin(), __l.end(), __n, __hf, _H2(), _Hash(), __eql,
     __key_extract(), __a)
      { }

      _Hashtable&
      operator=(const _Hashtable& __ht);

      _Hashtable&
      operator=(_Hashtable&& __ht)
      noexcept(__node_alloc_traits::_S_nothrow_move()
        && is_nothrow_move_assignable<_H1>::value
        && is_nothrow_move_assignable<_Equal>::value)
      {
        constexpr bool __move_storage =
   __node_alloc_traits::_S_propagate_on_move_assign()
   || __node_alloc_traits::_S_always_equal();
 _M_move_assign(std::move(__ht), __bool_constant<__move_storage>());
 return *this;
      }

      _Hashtable&
      operator=(initializer_list<value_type> __l)
      {
 __reuse_or_alloc_node_type __roan(_M_begin(), *this);
 _M_before_begin._M_nxt = nullptr;
 clear();
 this->_M_insert_range(__l.begin(), __l.end(), __roan, __unique_keys());
 return *this;
      }

      ~_Hashtable() noexcept;

      void
      swap(_Hashtable&)
      noexcept(__and_<__is_nothrow_swappable<_H1>,
                   __is_nothrow_swappable<_Equal>>::value);


      iterator
      begin() noexcept
      { return iterator(_M_begin()); }

      const_iterator
      begin() const noexcept
      { return const_iterator(_M_begin()); }

      iterator
      end() noexcept
      { return iterator(nullptr); }

      const_iterator
      end() const noexcept
      { return const_iterator(nullptr); }

      const_iterator
      cbegin() const noexcept
      { return const_iterator(_M_begin()); }

      const_iterator
      cend() const noexcept
      { return const_iterator(nullptr); }

      size_type
      size() const noexcept
      { return _M_element_count; }

      bool
      empty() const noexcept
      { return size() == 0; }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(this->_M_node_allocator()); }

      size_type
      max_size() const noexcept
      { return __node_alloc_traits::max_size(this->_M_node_allocator()); }


      key_equal
      key_eq() const
      { return this->_M_eq(); }




      size_type
      bucket_count() const noexcept
      { return _M_bucket_count; }

      size_type
      max_bucket_count() const noexcept
      { return max_size(); }

      size_type
      bucket_size(size_type __n) const
      { return std::distance(begin(__n), end(__n)); }

      size_type
      bucket(const key_type& __k) const
      { return _M_bucket_index(__k, this->_M_hash_code(__k)); }

      local_iterator
      begin(size_type __n)
      {
 return local_iterator(*this, _M_bucket_begin(__n),
         __n, _M_bucket_count);
      }

      local_iterator
      end(size_type __n)
      { return local_iterator(*this, nullptr, __n, _M_bucket_count); }

      const_local_iterator
      begin(size_type __n) const
      {
 return const_local_iterator(*this, _M_bucket_begin(__n),
        __n, _M_bucket_count);
      }

      const_local_iterator
      end(size_type __n) const
      { return const_local_iterator(*this, nullptr, __n, _M_bucket_count); }


      const_local_iterator
      cbegin(size_type __n) const
      {
 return const_local_iterator(*this, _M_bucket_begin(__n),
        __n, _M_bucket_count);
      }

      const_local_iterator
      cend(size_type __n) const
      { return const_local_iterator(*this, nullptr, __n, _M_bucket_count); }

      float
      load_factor() const noexcept
      {
 return static_cast<float>(size()) / static_cast<float>(bucket_count());
      }






      const _RehashPolicy&
      __rehash_policy() const
      { return _M_rehash_policy; }

      void
      __rehash_policy(const _RehashPolicy& __pol)
      { _M_rehash_policy = __pol; }


      iterator
      find(const key_type& __k);

      const_iterator
      find(const key_type& __k) const;

      size_type
      count(const key_type& __k) const;

      std::pair<iterator, iterator>
      equal_range(const key_type& __k);

      std::pair<const_iterator, const_iterator>
      equal_range(const key_type& __k) const;

    protected:

      size_type
      _M_bucket_index(__node_type* __n) const noexcept
      { return __hash_code_base::_M_bucket_index(__n, _M_bucket_count); }

      size_type
      _M_bucket_index(const key_type& __k, __hash_code __c) const
      { return __hash_code_base::_M_bucket_index(__k, __c, _M_bucket_count); }



      __node_base*
      _M_find_before_node(size_type, const key_type&, __hash_code) const;

      __node_type*
      _M_find_node(size_type __bkt, const key_type& __key,
     __hash_code __c) const
      {
 __node_base* __before_n = _M_find_before_node(__bkt, __key, __c);
 if (__before_n)
   return static_cast<__node_type*>(__before_n->_M_nxt);
 return nullptr;
      }


      void
      _M_insert_bucket_begin(size_type, __node_type*);


      void
      _M_remove_bucket_begin(size_type __bkt, __node_type* __next_n,
        size_type __next_bkt);


      __node_base*
      _M_get_previous_node(size_type __bkt, __node_base* __n);




      iterator
      _M_insert_unique_node(size_type __bkt, __hash_code __code,
       __node_type* __n, size_type __n_elt = 1);



      iterator
      _M_insert_multi_node(__node_type* __hint,
      __hash_code __code, __node_type* __n);

      template<typename... _Args>
 std::pair<iterator, bool>
 _M_emplace(std::true_type, _Args&&... __args);

      template<typename... _Args>
 iterator
 _M_emplace(std::false_type __uk, _Args&&... __args)
 { return _M_emplace(cend(), __uk, std::forward<_Args>(__args)...); }


      template<typename... _Args>
 iterator
 _M_emplace(const_iterator, std::true_type __uk, _Args&&... __args)
 { return _M_emplace(__uk, std::forward<_Args>(__args)...).first; }

      template<typename... _Args>
 iterator
 _M_emplace(const_iterator, std::false_type, _Args&&... __args);

      template<typename _Arg, typename _NodeGenerator>
 std::pair<iterator, bool>
 _M_insert(_Arg&&, const _NodeGenerator&, true_type, size_type = 1);

      template<typename _Arg, typename _NodeGenerator>
 iterator
 _M_insert(_Arg&& __arg, const _NodeGenerator& __node_gen,
    false_type __uk)
 {
   return _M_insert(cend(), std::forward<_Arg>(__arg), __node_gen,
      __uk);
 }


      template<typename _Arg, typename _NodeGenerator>
 iterator
 _M_insert(const_iterator, _Arg&& __arg,
    const _NodeGenerator& __node_gen, true_type __uk)
 {
   return
     _M_insert(std::forward<_Arg>(__arg), __node_gen, __uk).first;
 }


      template<typename _Arg, typename _NodeGenerator>
 iterator
 _M_insert(const_iterator, _Arg&&,
    const _NodeGenerator&, false_type);

      size_type
      _M_erase(std::true_type, const key_type&);

      size_type
      _M_erase(std::false_type, const key_type&);

      iterator
      _M_erase(size_type __bkt, __node_base* __prev_n, __node_type* __n);

    public:

      template<typename... _Args>
 __ireturn_type
 emplace(_Args&&... __args)
 { return _M_emplace(__unique_keys(), std::forward<_Args>(__args)...); }

      template<typename... _Args>
 iterator
 emplace_hint(const_iterator __hint, _Args&&... __args)
 {
   return _M_emplace(__hint, __unique_keys(),
       std::forward<_Args>(__args)...);
 }




      iterator
      erase(const_iterator);


      iterator
      erase(iterator __it)
      { return erase(const_iterator(__it)); }

      size_type
      erase(const key_type& __k)
      { return _M_erase(__unique_keys(), __k); }

      iterator
      erase(const_iterator, const_iterator);

      void
      clear() noexcept;


      void rehash(size_type __n);






      insert_return_type
      _M_reinsert_node(node_type&& __nh)
      {
 insert_return_type __ret;
 if (__nh.empty())
   __ret.position = end();
 else
   {
     ;

     const key_type& __k = __nh._M_key();
     __hash_code __code = this->_M_hash_code(__k);
     size_type __bkt = _M_bucket_index(__k, __code);
     if (__node_type* __n = _M_find_node(__bkt, __k, __code))
       {
  __ret.node = std::move(__nh);
  __ret.position = iterator(__n);
  __ret.inserted = false;
       }
     else
       {
  __ret.position
    = _M_insert_unique_node(__bkt, __code, __nh._M_ptr);
  __nh._M_ptr = nullptr;
  __ret.inserted = true;
       }
   }
 return __ret;
      }


      iterator
      _M_reinsert_node_multi(const_iterator __hint, node_type&& __nh)
      {
 iterator __ret;
 if (__nh.empty())
   __ret = end();
 else
   {
     ;

     auto __code = this->_M_hash_code(__nh._M_key());
     auto __node = std::exchange(__nh._M_ptr, nullptr);

     __ret = _M_insert_multi_node(__hint._M_cur, __code, __node);
   }
 return __ret;
      }


      node_type
      extract(const_iterator __pos)
      {
 __node_type* __n = __pos._M_cur;
 size_t __bkt = _M_bucket_index(__n);




 __node_base* __prev_n = _M_get_previous_node(__bkt, __n);

 if (__prev_n == _M_buckets[__bkt])
   _M_remove_bucket_begin(__bkt, __n->_M_next(),
      __n->_M_nxt ? _M_bucket_index(__n->_M_next()) : 0);
 else if (__n->_M_nxt)
   {
     size_type __next_bkt = _M_bucket_index(__n->_M_next());
     if (__next_bkt != __bkt)
       _M_buckets[__next_bkt] = __prev_n;
   }

 __prev_n->_M_nxt = __n->_M_nxt;
 __n->_M_nxt = nullptr;
 --_M_element_count;
 return { __n, this->_M_node_allocator() };
      }


      node_type
      extract(const _Key& __k)
      {
 node_type __nh;
 auto __pos = find(__k);
 if (__pos != end())
   __nh = extract(const_iterator(__pos));
 return __nh;
      }


      template<typename _Compatible_Hashtable>
 void
 _M_merge_unique(_Compatible_Hashtable& __src) noexcept
 {
   static_assert(is_same_v<typename _Compatible_Hashtable::node_type,
       node_type>, "Node types are compatible");
   ;

   auto __n_elt = __src.size();
   for (auto __i = __src.begin(), __end = __src.end(); __i != __end;)
     {
       auto __pos = __i++;
       const key_type& __k = this->_M_extract()(__pos._M_cur->_M_v());
       __hash_code __code = this->_M_hash_code(__k);
       size_type __bkt = _M_bucket_index(__k, __code);
       if (_M_find_node(__bkt, __k, __code) == nullptr)
  {
    auto __nh = __src.extract(__pos);
    _M_insert_unique_node(__bkt, __code, __nh._M_ptr, __n_elt);
    __nh._M_ptr = nullptr;
    __n_elt = 1;
  }
       else if (__n_elt != 1)
  --__n_elt;
     }
 }


      template<typename _Compatible_Hashtable>
 void
 _M_merge_multi(_Compatible_Hashtable& __src) noexcept
 {
   static_assert(is_same_v<typename _Compatible_Hashtable::node_type,
       node_type>, "Node types are compatible");
   ;

   this->reserve(size() + __src.size());
   for (auto __i = __src.begin(), __end = __src.end(); __i != __end;)
     _M_reinsert_node_multi(cend(), __src.extract(__i++));
 }


    private:

      void _M_rehash_aux(size_type __n, std::true_type);


      void _M_rehash_aux(size_type __n, std::false_type);



      void _M_rehash(size_type __n, const __rehash_state& __state);
    };



  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_bucket_begin(size_type __bkt) const
    -> __node_type*
    {
      __node_base* __n = _M_buckets[__bkt];
      return __n ? static_cast<__node_type*>(__n->_M_nxt) : nullptr;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _Hashtable(size_type __bucket_hint,
        const _H1& __h1, const _H2& __h2, const _Hash& __h,
        const _Equal& __eq, const _ExtractKey& __exk,
        const allocator_type& __a)
      : _Hashtable(__h1, __h2, __h, __eq, __exk, __a)
    {
      auto __bkt = _M_rehash_policy._M_next_bkt(__bucket_hint);
      if (__bkt > _M_bucket_count)
 {
   _M_buckets = _M_allocate_buckets(__bkt);
   _M_bucket_count = __bkt;
 }
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename _InputIterator>
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _Hashtable(_InputIterator __f, _InputIterator __l,
   size_type __bucket_hint,
   const _H1& __h1, const _H2& __h2, const _Hash& __h,
   const _Equal& __eq, const _ExtractKey& __exk,
   const allocator_type& __a)
 : _Hashtable(__h1, __h2, __h, __eq, __exk, __a)
      {
 auto __nb_elems = __detail::__distance_fw(__f, __l);
 auto __bkt_count =
   _M_rehash_policy._M_next_bkt(
     std::max(_M_rehash_policy._M_bkt_for_elements(__nb_elems),
       __bucket_hint));

 if (__bkt_count > _M_bucket_count)
   {
     _M_buckets = _M_allocate_buckets(__bkt_count);
     _M_bucket_count = __bkt_count;
   }

 for (; __f != __l; ++__f)
   this->insert(*__f);
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    operator=(const _Hashtable& __ht)
    -> _Hashtable&
    {
      if (&__ht == this)
 return *this;

      if (__node_alloc_traits::_S_propagate_on_copy_assign())
 {
   auto& __this_alloc = this->_M_node_allocator();
   auto& __that_alloc = __ht._M_node_allocator();
   if (!__node_alloc_traits::_S_always_equal()
       && __this_alloc != __that_alloc)
     {

       this->_M_deallocate_nodes(_M_begin());
       _M_before_begin._M_nxt = nullptr;
       _M_deallocate_buckets();
       _M_buckets = nullptr;
       std::__alloc_on_copy(__this_alloc, __that_alloc);
       __hashtable_base::operator=(__ht);
       _M_bucket_count = __ht._M_bucket_count;
       _M_element_count = __ht._M_element_count;
       _M_rehash_policy = __ht._M_rehash_policy;
       try
  {
    _M_assign(__ht,
       [this](const __node_type* __n)
       { return this->_M_allocate_node(__n->_M_v()); });
  }
       catch(...)
  {


    _M_reset();
    throw;
  }
       return *this;
     }
   std::__alloc_on_copy(__this_alloc, __that_alloc);
 }


      _M_assign_elements(__ht,
 [](const __reuse_or_alloc_node_type& __roan, const __node_type* __n)
 { return __roan(__n->_M_v()); });
      return *this;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename _Ht, typename _NodeGenerator>
      void
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_assign_elements(_Ht&& __ht, const _NodeGenerator& __node_gen)
      {
 __bucket_type* __former_buckets = nullptr;
 std::size_t __former_bucket_count = _M_bucket_count;
 const __rehash_state& __former_state = _M_rehash_policy._M_state();

 if (_M_bucket_count != __ht._M_bucket_count)
   {
     __former_buckets = _M_buckets;
     _M_buckets = _M_allocate_buckets(__ht._M_bucket_count);
     _M_bucket_count = __ht._M_bucket_count;
   }
 else
   __builtin_memset(_M_buckets, 0,
      _M_bucket_count * sizeof(__bucket_type));

 try
   {
     __hashtable_base::operator=(std::forward<_Ht>(__ht));
     _M_element_count = __ht._M_element_count;
     _M_rehash_policy = __ht._M_rehash_policy;
     __reuse_or_alloc_node_type __roan(_M_begin(), *this);
     _M_before_begin._M_nxt = nullptr;
     _M_assign(__ht,
        [&__node_gen, &__roan](__node_type* __n)
        { return __node_gen(__roan, __n); });
     if (__former_buckets)
       _M_deallocate_buckets(__former_buckets, __former_bucket_count);
   }
 catch(...)
   {
     if (__former_buckets)
       {

  _M_deallocate_buckets();
  _M_rehash_policy._M_reset(__former_state);
  _M_buckets = __former_buckets;
  _M_bucket_count = __former_bucket_count;
       }
     __builtin_memset(_M_buckets, 0,
        _M_bucket_count * sizeof(__bucket_type));
     throw;
   }
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename _NodeGenerator>
      void
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_assign(const _Hashtable& __ht, const _NodeGenerator& __node_gen)
      {
 __bucket_type* __buckets = nullptr;
 if (!_M_buckets)
   _M_buckets = __buckets = _M_allocate_buckets(_M_bucket_count);

 try
   {
     if (!__ht._M_before_begin._M_nxt)
       return;



     __node_type* __ht_n = __ht._M_begin();
     __node_type* __this_n = __node_gen(__ht_n);
     this->_M_copy_code(__this_n, __ht_n);
     _M_before_begin._M_nxt = __this_n;
     _M_buckets[_M_bucket_index(__this_n)] = &_M_before_begin;


     __node_base* __prev_n = __this_n;
     for (__ht_n = __ht_n->_M_next(); __ht_n; __ht_n = __ht_n->_M_next())
       {
  __this_n = __node_gen(__ht_n);
  __prev_n->_M_nxt = __this_n;
  this->_M_copy_code(__this_n, __ht_n);
  size_type __bkt = _M_bucket_index(__this_n);
  if (!_M_buckets[__bkt])
    _M_buckets[__bkt] = __prev_n;
  __prev_n = __this_n;
       }
   }
 catch(...)
   {
     clear();
     if (__buckets)
       _M_deallocate_buckets();
     throw;
   }
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_reset() noexcept
    {
      _M_rehash_policy._M_reset();
      _M_bucket_count = 1;
      _M_single_bucket = nullptr;
      _M_buckets = &_M_single_bucket;
      _M_before_begin._M_nxt = nullptr;
      _M_element_count = 0;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_move_assign(_Hashtable&& __ht, std::true_type)
    {
      this->_M_deallocate_nodes(_M_begin());
      _M_deallocate_buckets();
      __hashtable_base::operator=(std::move(__ht));
      _M_rehash_policy = __ht._M_rehash_policy;
      if (!__ht._M_uses_single_bucket())
 _M_buckets = __ht._M_buckets;
      else
 {
   _M_buckets = &_M_single_bucket;
   _M_single_bucket = __ht._M_single_bucket;
 }
      _M_bucket_count = __ht._M_bucket_count;
      _M_before_begin._M_nxt = __ht._M_before_begin._M_nxt;
      _M_element_count = __ht._M_element_count;
      std::__alloc_on_move(this->_M_node_allocator(), __ht._M_node_allocator());



      if (_M_begin())
 _M_buckets[_M_bucket_index(_M_begin())] = &_M_before_begin;
      __ht._M_reset();
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_move_assign(_Hashtable&& __ht, std::false_type)
    {
      if (__ht._M_node_allocator() == this->_M_node_allocator())
 _M_move_assign(std::move(__ht), std::true_type());
      else
 {

   _M_assign_elements(std::move(__ht),
  [](const __reuse_or_alloc_node_type& __roan, __node_type* __n)
  { return __roan(std::move_if_noexcept(__n->_M_v())); });
   __ht.clear();
 }
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _Hashtable(const _Hashtable& __ht)
    : __hashtable_base(__ht),
      __map_base(__ht),
      __rehash_base(__ht),
      __hashtable_alloc(
 __node_alloc_traits::_S_select_on_copy(__ht._M_node_allocator())),
      _M_buckets(nullptr),
      _M_bucket_count(__ht._M_bucket_count),
      _M_element_count(__ht._M_element_count),
      _M_rehash_policy(__ht._M_rehash_policy)
    {
      _M_assign(__ht,
  [this](const __node_type* __n)
  { return this->_M_allocate_node(__n->_M_v()); });
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _Hashtable(_Hashtable&& __ht) noexcept
    : __hashtable_base(__ht),
      __map_base(__ht),
      __rehash_base(__ht),
      __hashtable_alloc(std::move(__ht._M_base_alloc())),
      _M_buckets(__ht._M_buckets),
      _M_bucket_count(__ht._M_bucket_count),
      _M_before_begin(__ht._M_before_begin._M_nxt),
      _M_element_count(__ht._M_element_count),
      _M_rehash_policy(__ht._M_rehash_policy)
    {

      if (__ht._M_uses_single_bucket())
 {
   _M_buckets = &_M_single_bucket;
   _M_single_bucket = __ht._M_single_bucket;
 }



      if (_M_begin())
 _M_buckets[_M_bucket_index(_M_begin())] = &_M_before_begin;

      __ht._M_reset();
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _Hashtable(const _Hashtable& __ht, const allocator_type& __a)
    : __hashtable_base(__ht),
      __map_base(__ht),
      __rehash_base(__ht),
      __hashtable_alloc(__node_alloc_type(__a)),
      _M_buckets(),
      _M_bucket_count(__ht._M_bucket_count),
      _M_element_count(__ht._M_element_count),
      _M_rehash_policy(__ht._M_rehash_policy)
    {
      _M_assign(__ht,
  [this](const __node_type* __n)
  { return this->_M_allocate_node(__n->_M_v()); });
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _Hashtable(_Hashtable&& __ht, const allocator_type& __a)
    : __hashtable_base(__ht),
      __map_base(__ht),
      __rehash_base(__ht),
      __hashtable_alloc(__node_alloc_type(__a)),
      _M_buckets(nullptr),
      _M_bucket_count(__ht._M_bucket_count),
      _M_element_count(__ht._M_element_count),
      _M_rehash_policy(__ht._M_rehash_policy)
    {
      if (__ht._M_node_allocator() == this->_M_node_allocator())
 {
   if (__ht._M_uses_single_bucket())
     {
       _M_buckets = &_M_single_bucket;
       _M_single_bucket = __ht._M_single_bucket;
     }
   else
     _M_buckets = __ht._M_buckets;

   _M_before_begin._M_nxt = __ht._M_before_begin._M_nxt;


   if (_M_begin())
     _M_buckets[_M_bucket_index(_M_begin())] = &_M_before_begin;
   __ht._M_reset();
 }
      else
 {
   _M_assign(__ht,
      [this](__node_type* __n)
      {
        return this->_M_allocate_node(
     std::move_if_noexcept(__n->_M_v()));
      });
   __ht.clear();
 }
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    ~_Hashtable() noexcept
    {
      clear();
      _M_deallocate_buckets();
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    swap(_Hashtable& __x)
    noexcept(__and_<__is_nothrow_swappable<_H1>,
                 __is_nothrow_swappable<_Equal>>::value)
    {



      this->_M_swap(__x);

      std::__alloc_on_swap(this->_M_node_allocator(), __x._M_node_allocator());
      std::swap(_M_rehash_policy, __x._M_rehash_policy);


      if (this->_M_uses_single_bucket())
 {
   if (!__x._M_uses_single_bucket())
     {
       _M_buckets = __x._M_buckets;
       __x._M_buckets = &__x._M_single_bucket;
     }
 }
      else if (__x._M_uses_single_bucket())
 {
   __x._M_buckets = _M_buckets;
   _M_buckets = &_M_single_bucket;
 }
      else
 std::swap(_M_buckets, __x._M_buckets);

      std::swap(_M_bucket_count, __x._M_bucket_count);
      std::swap(_M_before_begin._M_nxt, __x._M_before_begin._M_nxt);
      std::swap(_M_element_count, __x._M_element_count);
      std::swap(_M_single_bucket, __x._M_single_bucket);



      if (_M_begin())
 _M_buckets[_M_bucket_index(_M_begin())] = &_M_before_begin;

      if (__x._M_begin())
 __x._M_buckets[__x._M_bucket_index(__x._M_begin())]
   = &__x._M_before_begin;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    find(const key_type& __k)
    -> iterator
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __n = _M_bucket_index(__k, __code);
      __node_type* __p = _M_find_node(__n, __k, __code);
      return __p ? iterator(__p) : end();
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    find(const key_type& __k) const
    -> const_iterator
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __n = _M_bucket_index(__k, __code);
      __node_type* __p = _M_find_node(__n, __k, __code);
      return __p ? const_iterator(__p) : end();
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    count(const key_type& __k) const
    -> size_type
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __n = _M_bucket_index(__k, __code);
      __node_type* __p = _M_bucket_begin(__n);
      if (!__p)
 return 0;

      std::size_t __result = 0;
      for (;; __p = __p->_M_next())
 {
   if (this->_M_equals(__k, __code, __p))
     ++__result;
   else if (__result)



     break;
   if (!__p->_M_nxt || _M_bucket_index(__p->_M_next()) != __n)
     break;
 }
      return __result;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    equal_range(const key_type& __k)
    -> pair<iterator, iterator>
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __n = _M_bucket_index(__k, __code);
      __node_type* __p = _M_find_node(__n, __k, __code);

      if (__p)
 {
   __node_type* __p1 = __p->_M_next();
   while (__p1 && _M_bucket_index(__p1) == __n
   && this->_M_equals(__k, __code, __p1))
     __p1 = __p1->_M_next();

   return std::make_pair(iterator(__p), iterator(__p1));
 }
      else
 return std::make_pair(end(), end());
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    equal_range(const key_type& __k) const
    -> pair<const_iterator, const_iterator>
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __n = _M_bucket_index(__k, __code);
      __node_type* __p = _M_find_node(__n, __k, __code);

      if (__p)
 {
   __node_type* __p1 = __p->_M_next();
   while (__p1 && _M_bucket_index(__p1) == __n
   && this->_M_equals(__k, __code, __p1))
     __p1 = __p1->_M_next();

   return std::make_pair(const_iterator(__p), const_iterator(__p1));
 }
      else
 return std::make_pair(end(), end());
    }



  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_find_before_node(size_type __n, const key_type& __k,
   __hash_code __code) const
    -> __node_base*
    {
      __node_base* __prev_p = _M_buckets[__n];
      if (!__prev_p)
 return nullptr;

      for (__node_type* __p = static_cast<__node_type*>(__prev_p->_M_nxt);;
    __p = __p->_M_next())
 {
   if (this->_M_equals(__k, __code, __p))
     return __prev_p;

   if (!__p->_M_nxt || _M_bucket_index(__p->_M_next()) != __n)
     break;
   __prev_p = __p;
 }
      return nullptr;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_insert_bucket_begin(size_type __bkt, __node_type* __node)
    {
      if (_M_buckets[__bkt])
 {


   __node->_M_nxt = _M_buckets[__bkt]->_M_nxt;
   _M_buckets[__bkt]->_M_nxt = __node;
 }
      else
 {



   __node->_M_nxt = _M_before_begin._M_nxt;
   _M_before_begin._M_nxt = __node;
   if (__node->_M_nxt)


     _M_buckets[_M_bucket_index(__node->_M_next())] = __node;
   _M_buckets[__bkt] = &_M_before_begin;
 }
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_remove_bucket_begin(size_type __bkt, __node_type* __next,
      size_type __next_bkt)
    {
      if (!__next || __next_bkt != __bkt)
 {


   if (__next)
     _M_buckets[__next_bkt] = _M_buckets[__bkt];


   if (&_M_before_begin == _M_buckets[__bkt])
     _M_before_begin._M_nxt = __next;
   _M_buckets[__bkt] = nullptr;
 }
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_get_previous_node(size_type __bkt, __node_base* __n)
    -> __node_base*
    {
      __node_base* __prev_n = _M_buckets[__bkt];
      while (__prev_n->_M_nxt != __n)
 __prev_n = __prev_n->_M_nxt;
      return __prev_n;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename... _Args>
      auto
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_emplace(std::true_type, _Args&&... __args)
      -> pair<iterator, bool>
      {

 __node_type* __node = this->_M_allocate_node(std::forward<_Args>(__args)...);
 const key_type& __k = this->_M_extract()(__node->_M_v());
 __hash_code __code;
 try
   {
     __code = this->_M_hash_code(__k);
   }
 catch(...)
   {
     this->_M_deallocate_node(__node);
     throw;
   }

 size_type __bkt = _M_bucket_index(__k, __code);
 if (__node_type* __p = _M_find_node(__bkt, __k, __code))
   {

     this->_M_deallocate_node(__node);
     return std::make_pair(iterator(__p), false);
   }


 return std::make_pair(_M_insert_unique_node(__bkt, __code, __node),
         true);
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename... _Args>
      auto
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_emplace(const_iterator __hint, std::false_type, _Args&&... __args)
      -> iterator
      {

 __node_type* __node =
   this->_M_allocate_node(std::forward<_Args>(__args)...);

 __hash_code __code;
 try
   {
     __code = this->_M_hash_code(this->_M_extract()(__node->_M_v()));
   }
 catch(...)
   {
     this->_M_deallocate_node(__node);
     throw;
   }

 return _M_insert_multi_node(__hint._M_cur, __code, __node);
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_insert_unique_node(size_type __bkt, __hash_code __code,
     __node_type* __node, size_type __n_elt)
    -> iterator
    {
      const __rehash_state& __saved_state = _M_rehash_policy._M_state();
      std::pair<bool, std::size_t> __do_rehash
 = _M_rehash_policy._M_need_rehash(_M_bucket_count, _M_element_count,
       __n_elt);

      try
 {
   if (__do_rehash.first)
     {
       _M_rehash(__do_rehash.second, __saved_state);
       __bkt = _M_bucket_index(this->_M_extract()(__node->_M_v()), __code);
     }

   this->_M_store_code(__node, __code);


   _M_insert_bucket_begin(__bkt, __node);
   ++_M_element_count;
   return iterator(__node);
 }
      catch(...)
 {
   this->_M_deallocate_node(__node);
   throw;
 }
    }



  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_insert_multi_node(__node_type* __hint, __hash_code __code,
    __node_type* __node)
    -> iterator
    {
      const __rehash_state& __saved_state = _M_rehash_policy._M_state();
      std::pair<bool, std::size_t> __do_rehash
 = _M_rehash_policy._M_need_rehash(_M_bucket_count, _M_element_count, 1);

      try
 {
   if (__do_rehash.first)
     _M_rehash(__do_rehash.second, __saved_state);

   this->_M_store_code(__node, __code);
   const key_type& __k = this->_M_extract()(__node->_M_v());
   size_type __bkt = _M_bucket_index(__k, __code);



   __node_base* __prev
     = __builtin_expect(__hint != nullptr, false)
       && this->_M_equals(__k, __code, __hint)
  ? __hint
  : _M_find_before_node(__bkt, __k, __code);
   if (__prev)
     {

       __node->_M_nxt = __prev->_M_nxt;
       __prev->_M_nxt = __node;
       if (__builtin_expect(__prev == __hint, false))


        if (__node->_M_nxt
            && !this->_M_equals(__k, __code, __node->_M_next()))
          {
            size_type __next_bkt = _M_bucket_index(__node->_M_next());
            if (__next_bkt != __bkt)
              _M_buckets[__next_bkt] = __node;
          }
     }
   else




     _M_insert_bucket_begin(__bkt, __node);
   ++_M_element_count;
   return iterator(__node);
 }
      catch(...)
 {
   this->_M_deallocate_node(__node);
   throw;
 }
    }


  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename _Arg, typename _NodeGenerator>
      auto
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_insert(_Arg&& __v, const _NodeGenerator& __node_gen, true_type,
  size_type __n_elt)
      -> pair<iterator, bool>
      {
 const key_type& __k = this->_M_extract()(__v);
 __hash_code __code = this->_M_hash_code(__k);
 size_type __bkt = _M_bucket_index(__k, __code);

 __node_type* __n = _M_find_node(__bkt, __k, __code);
 if (__n)
   return std::make_pair(iterator(__n), false);

 __n = __node_gen(std::forward<_Arg>(__v));
 return { _M_insert_unique_node(__bkt, __code, __n, __n_elt), true };
      }


  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    template<typename _Arg, typename _NodeGenerator>
      auto
      _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
   _H1, _H2, _Hash, _RehashPolicy, _Traits>::
      _M_insert(const_iterator __hint, _Arg&& __v,
  const _NodeGenerator& __node_gen, false_type)
      -> iterator
      {


 __hash_code __code = this->_M_hash_code(this->_M_extract()(__v));


 __node_type* __node = __node_gen(std::forward<_Arg>(__v));

 return _M_insert_multi_node(__hint._M_cur, __code, __node);
      }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    erase(const_iterator __it)
    -> iterator
    {
      __node_type* __n = __it._M_cur;
      std::size_t __bkt = _M_bucket_index(__n);




      __node_base* __prev_n = _M_get_previous_node(__bkt, __n);
      return _M_erase(__bkt, __prev_n, __n);
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_erase(size_type __bkt, __node_base* __prev_n, __node_type* __n)
    -> iterator
    {
      if (__prev_n == _M_buckets[__bkt])
 _M_remove_bucket_begin(__bkt, __n->_M_next(),
    __n->_M_nxt ? _M_bucket_index(__n->_M_next()) : 0);
      else if (__n->_M_nxt)
 {
   size_type __next_bkt = _M_bucket_index(__n->_M_next());
   if (__next_bkt != __bkt)
     _M_buckets[__next_bkt] = __prev_n;
 }

      __prev_n->_M_nxt = __n->_M_nxt;
      iterator __result(__n->_M_next());
      this->_M_deallocate_node(__n);
      --_M_element_count;

      return __result;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_erase(std::true_type, const key_type& __k)
    -> size_type
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __bkt = _M_bucket_index(__k, __code);


      __node_base* __prev_n = _M_find_before_node(__bkt, __k, __code);
      if (!__prev_n)
 return 0;


      __node_type* __n = static_cast<__node_type*>(__prev_n->_M_nxt);
      _M_erase(__bkt, __prev_n, __n);
      return 1;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_erase(std::false_type, const key_type& __k)
    -> size_type
    {
      __hash_code __code = this->_M_hash_code(__k);
      std::size_t __bkt = _M_bucket_index(__k, __code);


      __node_base* __prev_n = _M_find_before_node(__bkt, __k, __code);
      if (!__prev_n)
 return 0;







      __node_type* __n = static_cast<__node_type*>(__prev_n->_M_nxt);
      __node_type* __n_last = __n;
      std::size_t __n_last_bkt = __bkt;
      do
 {
   __n_last = __n_last->_M_next();
   if (!__n_last)
     break;
   __n_last_bkt = _M_bucket_index(__n_last);
 }
      while (__n_last_bkt == __bkt && this->_M_equals(__k, __code, __n_last));


      size_type __result = 0;
      do
 {
   __node_type* __p = __n->_M_next();
   this->_M_deallocate_node(__n);
   __n = __p;
   ++__result;
   --_M_element_count;
 }
      while (__n != __n_last);

      if (__prev_n == _M_buckets[__bkt])
 _M_remove_bucket_begin(__bkt, __n_last, __n_last_bkt);
      else if (__n_last && __n_last_bkt != __bkt)
 _M_buckets[__n_last_bkt] = __prev_n;
      __prev_n->_M_nxt = __n_last;
      return __result;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    auto
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    erase(const_iterator __first, const_iterator __last)
    -> iterator
    {
      __node_type* __n = __first._M_cur;
      __node_type* __last_n = __last._M_cur;
      if (__n == __last_n)
 return iterator(__n);

      std::size_t __bkt = _M_bucket_index(__n);

      __node_base* __prev_n = _M_get_previous_node(__bkt, __n);
      bool __is_bucket_begin = __n == _M_bucket_begin(__bkt);
      std::size_t __n_bkt = __bkt;
      for (;;)
 {
   do
     {
       __node_type* __tmp = __n;
       __n = __n->_M_next();
       this->_M_deallocate_node(__tmp);
       --_M_element_count;
       if (!__n)
  break;
       __n_bkt = _M_bucket_index(__n);
     }
   while (__n != __last_n && __n_bkt == __bkt);
   if (__is_bucket_begin)
     _M_remove_bucket_begin(__bkt, __n, __n_bkt);
   if (__n == __last_n)
     break;
   __is_bucket_begin = true;
   __bkt = __n_bkt;
 }

      if (__n && (__n_bkt != __bkt || __is_bucket_begin))
 _M_buckets[__n_bkt] = __prev_n;
      __prev_n->_M_nxt = __n;
      return iterator(__n);
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    clear() noexcept
    {
      this->_M_deallocate_nodes(_M_begin());
      __builtin_memset(_M_buckets, 0, _M_bucket_count * sizeof(__bucket_type));
      _M_element_count = 0;
      _M_before_begin._M_nxt = nullptr;
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    rehash(size_type __n)
    {
      const __rehash_state& __saved_state = _M_rehash_policy._M_state();
      std::size_t __buckets
 = std::max(_M_rehash_policy._M_bkt_for_elements(_M_element_count + 1),
     __n);
      __buckets = _M_rehash_policy._M_next_bkt(__buckets);

      if (__buckets != _M_bucket_count)
 _M_rehash(__buckets, __saved_state);
      else

 _M_rehash_policy._M_reset(__saved_state);
    }

  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_rehash(size_type __n, const __rehash_state& __state)
    {
      try
 {
   _M_rehash_aux(__n, __unique_keys());
 }
      catch(...)
 {


   _M_rehash_policy._M_reset(__state);
   throw;
 }
    }


  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_rehash_aux(size_type __n, std::true_type)
    {
      __bucket_type* __new_buckets = _M_allocate_buckets(__n);
      __node_type* __p = _M_begin();
      _M_before_begin._M_nxt = nullptr;
      std::size_t __bbegin_bkt = 0;
      while (__p)
 {
   __node_type* __next = __p->_M_next();
   std::size_t __bkt = __hash_code_base::_M_bucket_index(__p, __n);
   if (!__new_buckets[__bkt])
     {
       __p->_M_nxt = _M_before_begin._M_nxt;
       _M_before_begin._M_nxt = __p;
       __new_buckets[__bkt] = &_M_before_begin;
       if (__p->_M_nxt)
  __new_buckets[__bbegin_bkt] = __p;
       __bbegin_bkt = __bkt;
     }
   else
     {
       __p->_M_nxt = __new_buckets[__bkt]->_M_nxt;
       __new_buckets[__bkt]->_M_nxt = __p;
     }
   __p = __next;
 }

      _M_deallocate_buckets();
      _M_bucket_count = __n;
      _M_buckets = __new_buckets;
    }



  template<typename _Key, typename _Value,
    typename _Alloc, typename _ExtractKey, typename _Equal,
    typename _H1, typename _H2, typename _Hash, typename _RehashPolicy,
    typename _Traits>
    void
    _Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal,
        _H1, _H2, _Hash, _RehashPolicy, _Traits>::
    _M_rehash_aux(size_type __n, std::false_type)
    {
      __bucket_type* __new_buckets = _M_allocate_buckets(__n);

      __node_type* __p = _M_begin();
      _M_before_begin._M_nxt = nullptr;
      std::size_t __bbegin_bkt = 0;
      std::size_t __prev_bkt = 0;
      __node_type* __prev_p = nullptr;
      bool __check_bucket = false;

      while (__p)
 {
   __node_type* __next = __p->_M_next();
   std::size_t __bkt = __hash_code_base::_M_bucket_index(__p, __n);

   if (__prev_p && __prev_bkt == __bkt)
     {



       __p->_M_nxt = __prev_p->_M_nxt;
       __prev_p->_M_nxt = __p;






       __check_bucket = true;
     }
   else
     {
       if (__check_bucket)
  {


    if (__prev_p->_M_nxt)
      {
        std::size_t __next_bkt
   = __hash_code_base::_M_bucket_index(__prev_p->_M_next(),
           __n);
        if (__next_bkt != __prev_bkt)
   __new_buckets[__next_bkt] = __prev_p;
      }
    __check_bucket = false;
  }

       if (!__new_buckets[__bkt])
  {
    __p->_M_nxt = _M_before_begin._M_nxt;
    _M_before_begin._M_nxt = __p;
    __new_buckets[__bkt] = &_M_before_begin;
    if (__p->_M_nxt)
      __new_buckets[__bbegin_bkt] = __p;
    __bbegin_bkt = __bkt;
  }
       else
  {
    __p->_M_nxt = __new_buckets[__bkt]->_M_nxt;
    __new_buckets[__bkt]->_M_nxt = __p;
  }
     }
   __prev_p = __p;
   __prev_bkt = __bkt;
   __p = __next;
 }

      if (__check_bucket && __prev_p->_M_nxt)
 {
   std::size_t __next_bkt
     = __hash_code_base::_M_bucket_index(__prev_p->_M_next(), __n);
   if (__next_bkt != __prev_bkt)
     __new_buckets[__next_bkt] = __prev_p;
 }

      _M_deallocate_buckets();
      _M_bucket_count = __n;
      _M_buckets = __new_buckets;
    }


  template<typename, typename, typename> class _Hash_merge_helper { };



}
# 47 "/opt/sutton/include/c++/9.0.0/unordered_map" 2 3
# 1 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  template<bool _Cache>
    using __umap_traits = __detail::_Hashtable_traits<_Cache, false, true>;

  template<typename _Key,
    typename _Tp,
    typename _Hash = hash<_Key>,
    typename _Pred = std::equal_to<_Key>,
    typename _Alloc = std::allocator<std::pair<const _Key, _Tp> >,
    typename _Tr = __umap_traits<__cache_default<_Key, _Hash>::value>>
    using __umap_hashtable = _Hashtable<_Key, std::pair<const _Key, _Tp>,
                                        _Alloc, __detail::_Select1st,
            _Pred, _Hash,
            __detail::_Mod_range_hashing,
            __detail::_Default_ranged_hash,
            __detail::_Prime_rehash_policy, _Tr>;


  template<bool _Cache>
    using __ummap_traits = __detail::_Hashtable_traits<_Cache, false, false>;

  template<typename _Key,
    typename _Tp,
    typename _Hash = hash<_Key>,
    typename _Pred = std::equal_to<_Key>,
    typename _Alloc = std::allocator<std::pair<const _Key, _Tp> >,
    typename _Tr = __ummap_traits<__cache_default<_Key, _Hash>::value>>
    using __ummap_hashtable = _Hashtable<_Key, std::pair<const _Key, _Tp>,
      _Alloc, __detail::_Select1st,
      _Pred, _Hash,
      __detail::_Mod_range_hashing,
      __detail::_Default_ranged_hash,
      __detail::_Prime_rehash_policy, _Tr>;

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    class unordered_multimap;
# 98 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
  template<typename _Key, typename _Tp,
    typename _Hash = hash<_Key>,
    typename _Pred = equal_to<_Key>,
    typename _Alloc = allocator<std::pair<const _Key, _Tp>>>
    class unordered_map
    {
      typedef __umap_hashtable<_Key, _Tp, _Hash, _Pred, _Alloc> _Hashtable;
      _Hashtable _M_h;

    public:



      typedef typename _Hashtable::key_type key_type;
      typedef typename _Hashtable::value_type value_type;
      typedef typename _Hashtable::mapped_type mapped_type;
      typedef typename _Hashtable::hasher hasher;
      typedef typename _Hashtable::key_equal key_equal;
      typedef typename _Hashtable::allocator_type allocator_type;




      typedef typename _Hashtable::pointer pointer;
      typedef typename _Hashtable::const_pointer const_pointer;
      typedef typename _Hashtable::reference reference;
      typedef typename _Hashtable::const_reference const_reference;
      typedef typename _Hashtable::iterator iterator;
      typedef typename _Hashtable::const_iterator const_iterator;
      typedef typename _Hashtable::local_iterator local_iterator;
      typedef typename _Hashtable::const_local_iterator const_local_iterator;
      typedef typename _Hashtable::size_type size_type;
      typedef typename _Hashtable::difference_type difference_type;



      using node_type = typename _Hashtable::node_type;
      using insert_return_type = typename _Hashtable::insert_return_type;





      unordered_map() = default;
# 150 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      explicit
      unordered_map(size_type __n,
      const hasher& __hf = hasher(),
      const key_equal& __eql = key_equal(),
      const allocator_type& __a = allocator_type())
      : _M_h(__n, __hf, __eql, __a)
      { }
# 171 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename _InputIterator>
 unordered_map(_InputIterator __first, _InputIterator __last,
        size_type __n = 0,
        const hasher& __hf = hasher(),
        const key_equal& __eql = key_equal(),
        const allocator_type& __a = allocator_type())
 : _M_h(__first, __last, __n, __hf, __eql, __a)
 { }


      unordered_map(const unordered_map&) = default;


      unordered_map(unordered_map&&) = default;





      explicit
      unordered_map(const allocator_type& __a)
 : _M_h(__a)
      { }






      unordered_map(const unordered_map& __umap,
      const allocator_type& __a)
      : _M_h(__umap._M_h, __a)
      { }






      unordered_map(unordered_map&& __umap,
      const allocator_type& __a)
      : _M_h(std::move(__umap._M_h), __a)
      { }
# 226 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      unordered_map(initializer_list<value_type> __l,
      size_type __n = 0,
      const hasher& __hf = hasher(),
      const key_equal& __eql = key_equal(),
      const allocator_type& __a = allocator_type())
      : _M_h(__l, __n, __hf, __eql, __a)
      { }

      unordered_map(size_type __n, const allocator_type& __a)
      : unordered_map(__n, hasher(), key_equal(), __a)
      { }

      unordered_map(size_type __n, const hasher& __hf,
      const allocator_type& __a)
      : unordered_map(__n, __hf, key_equal(), __a)
      { }

      template<typename _InputIterator>
 unordered_map(_InputIterator __first, _InputIterator __last,
        size_type __n,
        const allocator_type& __a)
 : unordered_map(__first, __last, __n, hasher(), key_equal(), __a)
 { }

      template<typename _InputIterator>
 unordered_map(_InputIterator __first, _InputIterator __last,
        size_type __n, const hasher& __hf,
        const allocator_type& __a)
   : unordered_map(__first, __last, __n, __hf, key_equal(), __a)
 { }

      unordered_map(initializer_list<value_type> __l,
      size_type __n,
      const allocator_type& __a)
      : unordered_map(__l, __n, hasher(), key_equal(), __a)
      { }

      unordered_map(initializer_list<value_type> __l,
      size_type __n, const hasher& __hf,
      const allocator_type& __a)
      : unordered_map(__l, __n, __hf, key_equal(), __a)
      { }


      unordered_map&
      operator=(const unordered_map&) = default;


      unordered_map&
      operator=(unordered_map&&) = default;
# 288 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      unordered_map&
      operator=(initializer_list<value_type> __l)
      {
 _M_h = __l;
 return *this;
      }


      allocator_type
      get_allocator() const noexcept
      { return _M_h.get_allocator(); }




      bool
      empty() const noexcept
      { return _M_h.empty(); }


      size_type
      size() const noexcept
      { return _M_h.size(); }


      size_type
      max_size() const noexcept
      { return _M_h.max_size(); }







      iterator
      begin() noexcept
      { return _M_h.begin(); }






      const_iterator
      begin() const noexcept
      { return _M_h.begin(); }

      const_iterator
      cbegin() const noexcept
      { return _M_h.begin(); }






      iterator
      end() noexcept
      { return _M_h.end(); }






      const_iterator
      end() const noexcept
      { return _M_h.end(); }

      const_iterator
      cend() const noexcept
      { return _M_h.end(); }
# 385 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename... _Args>
 std::pair<iterator, bool>
 emplace(_Args&&... __args)
 { return _M_h.emplace(std::forward<_Args>(__args)...); }
# 416 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename... _Args>
 iterator
 emplace_hint(const_iterator __pos, _Args&&... __args)
 { return _M_h.emplace_hint(__pos, std::forward<_Args>(__args)...); }



      node_type
      extract(const_iterator __pos)
      {
 ;
 return _M_h.extract(__pos);
      }


      node_type
      extract(const key_type& __key)
      { return _M_h.extract(__key); }


      insert_return_type
      insert(node_type&& __nh)
      { return _M_h._M_reinsert_node(std::move(__nh)); }


      iterator
      insert(const_iterator, node_type&& __nh)
      { return _M_h._M_reinsert_node(std::move(__nh)).position; }
# 468 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template <typename... _Args>
        pair<iterator, bool>
        try_emplace(const key_type& __k, _Args&&... __args)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              __i = emplace(std::piecewise_construct,
                            std::forward_as_tuple(__k),
                            std::forward_as_tuple(
                              std::forward<_Args>(__args)...))
                .first;
              return {__i, true};
            }
          return {__i, false};
        }


      template <typename... _Args>
        pair<iterator, bool>
        try_emplace(key_type&& __k, _Args&&... __args)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              __i = emplace(std::piecewise_construct,
                            std::forward_as_tuple(std::move(__k)),
                            std::forward_as_tuple(
                              std::forward<_Args>(__args)...))
                .first;
              return {__i, true};
            }
          return {__i, false};
        }
# 531 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template <typename... _Args>
        iterator
        try_emplace(const_iterator __hint, const key_type& __k,
                    _Args&&... __args)
        {
          iterator __i = find(__k);
          if (__i == end())
            __i = emplace_hint(__hint, std::piecewise_construct,
                               std::forward_as_tuple(__k),
                               std::forward_as_tuple(
                                 std::forward<_Args>(__args)...));
          return __i;
        }


      template <typename... _Args>
        iterator
        try_emplace(const_iterator __hint, key_type&& __k, _Args&&... __args)
        {
          iterator __i = find(__k);
          if (__i == end())
            __i = emplace_hint(__hint, std::piecewise_construct,
                               std::forward_as_tuple(std::move(__k)),
                               std::forward_as_tuple(
                                 std::forward<_Args>(__args)...));
          return __i;
        }
# 578 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      std::pair<iterator, bool>
      insert(const value_type& __x)
      { return _M_h.insert(__x); }



      std::pair<iterator, bool>
      insert(value_type&& __x)
      { return _M_h.insert(std::move(__x)); }

      template<typename _Pair>
 __enable_if_t<is_constructible<value_type, _Pair&&>::value,
        pair<iterator, bool>>
 insert(_Pair&& __x)
        { return _M_h.emplace(std::forward<_Pair>(__x)); }
# 617 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      insert(const_iterator __hint, const value_type& __x)
      { return _M_h.insert(__hint, __x); }



      iterator
      insert(const_iterator __hint, value_type&& __x)
      { return _M_h.insert(__hint, std::move(__x)); }

      template<typename _Pair>
 __enable_if_t<is_constructible<value_type, _Pair&&>::value, iterator>
 insert(const_iterator __hint, _Pair&& __x)
 { return _M_h.emplace_hint(__hint, std::forward<_Pair>(__x)); }
# 642 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename _InputIterator>
 void
 insert(_InputIterator __first, _InputIterator __last)
 { _M_h.insert(__first, __last); }
# 654 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      insert(initializer_list<value_type> __l)
      { _M_h.insert(__l); }
# 681 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template <typename _Obj>
        pair<iterator, bool>
        insert_or_assign(const key_type& __k, _Obj&& __obj)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              __i = emplace(std::piecewise_construct,
                            std::forward_as_tuple(__k),
                            std::forward_as_tuple(std::forward<_Obj>(__obj)))
                .first;
              return {__i, true};
            }
          (*__i).second = std::forward<_Obj>(__obj);
          return {__i, false};
        }


      template <typename _Obj>
        pair<iterator, bool>
        insert_or_assign(key_type&& __k, _Obj&& __obj)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              __i = emplace(std::piecewise_construct,
                            std::forward_as_tuple(std::move(__k)),
                            std::forward_as_tuple(std::forward<_Obj>(__obj)))
                .first;
              return {__i, true};
            }
          (*__i).second = std::forward<_Obj>(__obj);
          return {__i, false};
        }
# 742 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template <typename _Obj>
        iterator
        insert_or_assign(const_iterator __hint, const key_type& __k,
                         _Obj&& __obj)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              return emplace_hint(__hint, std::piecewise_construct,
                                  std::forward_as_tuple(__k),
                                  std::forward_as_tuple(
                                    std::forward<_Obj>(__obj)));
            }
          (*__i).second = std::forward<_Obj>(__obj);
          return __i;
        }


      template <typename _Obj>
        iterator
        insert_or_assign(const_iterator __hint, key_type&& __k, _Obj&& __obj)
        {
          iterator __i = find(__k);
          if (__i == end())
            {
              return emplace_hint(__hint, std::piecewise_construct,
                                  std::forward_as_tuple(std::move(__k)),
                                  std::forward_as_tuple(
                                    std::forward<_Obj>(__obj)));
            }
          (*__i).second = std::forward<_Obj>(__obj);
          return __i;
        }
# 791 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      erase(const_iterator __position)
      { return _M_h.erase(__position); }


      iterator
      erase(iterator __position)
      { return _M_h.erase(__position); }
# 813 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      size_type
      erase(const key_type& __x)
      { return _M_h.erase(__x); }
# 831 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      erase(const_iterator __first, const_iterator __last)
      { return _M_h.erase(__first, __last); }







      void
      clear() noexcept
      { _M_h.clear(); }
# 855 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      swap(unordered_map& __x)
      noexcept( noexcept(_M_h.swap(__x._M_h)) )
      { _M_h.swap(__x._M_h); }


      template<typename, typename, typename>
 friend class std::_Hash_merge_helper;

      template<typename _H2, typename _P2>
 void
 merge(unordered_map<_Key, _Tp, _H2, _P2, _Alloc>& __source)
 {
   using _Merge_helper = _Hash_merge_helper<unordered_map, _H2, _P2>;
   _M_h._M_merge_unique(_Merge_helper::_S_get_table(__source));
 }

      template<typename _H2, typename _P2>
 void
 merge(unordered_map<_Key, _Tp, _H2, _P2, _Alloc>&& __source)
 { merge(__source); }

      template<typename _H2, typename _P2>
 void
 merge(unordered_multimap<_Key, _Tp, _H2, _P2, _Alloc>& __source)
 {
   using _Merge_helper = _Hash_merge_helper<unordered_map, _H2, _P2>;
   _M_h._M_merge_unique(_Merge_helper::_S_get_table(__source));
 }

      template<typename _H2, typename _P2>
 void
 merge(unordered_multimap<_Key, _Tp, _H2, _P2, _Alloc>&& __source)
 { merge(__source); }






      hasher
      hash_function() const
      { return _M_h.hash_function(); }



      key_equal
      key_eq() const
      { return _M_h.key_eq(); }
# 919 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      find(const key_type& __x)
      { return _M_h.find(__x); }

      const_iterator
      find(const key_type& __x) const
      { return _M_h.find(__x); }
# 937 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      size_type
      count(const key_type& __x) const
      { return _M_h.count(__x); }







      bool
      contains(const key_type& __x) const
      { return _M_h.find(__x) != _M_h.end(); }
# 961 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      std::pair<iterator, iterator>
      equal_range(const key_type& __x)
      { return _M_h.equal_range(__x); }

      std::pair<const_iterator, const_iterator>
      equal_range(const key_type& __x) const
      { return _M_h.equal_range(__x); }
# 983 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      mapped_type&
      operator[](const key_type& __k)
      { return _M_h[__k]; }

      mapped_type&
      operator[](key_type&& __k)
      { return _M_h[std::move(__k)]; }
# 1000 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      mapped_type&
      at(const key_type& __k)
      { return _M_h.at(__k); }

      const mapped_type&
      at(const key_type& __k) const
      { return _M_h.at(__k); }





      size_type
      bucket_count() const noexcept
      { return _M_h.bucket_count(); }


      size_type
      max_bucket_count() const noexcept
      { return _M_h.max_bucket_count(); }






      size_type
      bucket_size(size_type __n) const
      { return _M_h.bucket_size(__n); }






      size_type
      bucket(const key_type& __key) const
      { return _M_h.bucket(__key); }







      local_iterator
      begin(size_type __n)
      { return _M_h.begin(__n); }
# 1056 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      const_local_iterator
      begin(size_type __n) const
      { return _M_h.begin(__n); }

      const_local_iterator
      cbegin(size_type __n) const
      { return _M_h.cbegin(__n); }
# 1071 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      local_iterator
      end(size_type __n)
      { return _M_h.end(__n); }
# 1082 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      const_local_iterator
      end(size_type __n) const
      { return _M_h.end(__n); }

      const_local_iterator
      cend(size_type __n) const
      { return _M_h.cend(__n); }





      float
      load_factor() const noexcept
      { return _M_h.load_factor(); }



      float
      max_load_factor() const noexcept
      { return _M_h.max_load_factor(); }





      void
      max_load_factor(float __z)
      { _M_h.max_load_factor(__z); }
# 1119 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      rehash(size_type __n)
      { _M_h.rehash(__n); }
# 1130 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      reserve(size_type __n)
      { _M_h.reserve(__n); }

      template<typename _Key1, typename _Tp1, typename _Hash1, typename _Pred1,
        typename _Alloc1>
        friend bool
 operator==(const unordered_map<_Key1, _Tp1, _Hash1, _Pred1, _Alloc1>&,
     const unordered_map<_Key1, _Tp1, _Hash1, _Pred1, _Alloc1>&);
    };



  template<typename _InputIterator,
    typename _Hash = hash<__iter_key_t<_InputIterator>>,
    typename _Pred = equal_to<__iter_key_t<_InputIterator>>,
    typename _Allocator = allocator<__iter_to_alloc_t<_InputIterator>>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(_InputIterator, _InputIterator,
    typename unordered_map<int, int>::size_type = {},
    _Hash = _Hash(), _Pred = _Pred(), _Allocator = _Allocator())
    -> unordered_map<__iter_key_t<_InputIterator>,
       __iter_val_t<_InputIterator>,
       _Hash, _Pred, _Allocator>;

  template<typename _Key, typename _Tp, typename _Hash = hash<_Key>,
    typename _Pred = equal_to<_Key>,
    typename _Allocator = allocator<pair<const _Key, _Tp>>,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(initializer_list<pair<_Key, _Tp>>,
    typename unordered_map<int, int>::size_type = {},
    _Hash = _Hash(), _Pred = _Pred(), _Allocator = _Allocator())
    -> unordered_map<_Key, _Tp, _Hash, _Pred, _Allocator>;

  template<typename _InputIterator, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(_InputIterator, _InputIterator,
    typename unordered_map<int, int>::size_type, _Allocator)
    -> unordered_map<__iter_key_t<_InputIterator>,
       __iter_val_t<_InputIterator>,
       hash<__iter_key_t<_InputIterator>>,
       equal_to<__iter_key_t<_InputIterator>>,
       _Allocator>;

  template<typename _InputIterator, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(_InputIterator, _InputIterator, _Allocator)
    -> unordered_map<__iter_key_t<_InputIterator>,
       __iter_val_t<_InputIterator>,
       hash<__iter_key_t<_InputIterator>>,
       equal_to<__iter_key_t<_InputIterator>>,
       _Allocator>;

  template<typename _InputIterator, typename _Hash, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(_InputIterator, _InputIterator,
    typename unordered_map<int, int>::size_type,
    _Hash, _Allocator)
    -> unordered_map<__iter_key_t<_InputIterator>,
       __iter_val_t<_InputIterator>, _Hash,
       equal_to<__iter_key_t<_InputIterator>>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(initializer_list<pair<_Key, _Tp>>,
    typename unordered_map<int, int>::size_type,
    _Allocator)
    -> unordered_map<_Key, _Tp, hash<_Key>, equal_to<_Key>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(initializer_list<pair<_Key, _Tp>>, _Allocator)
    -> unordered_map<_Key, _Tp, hash<_Key>, equal_to<_Key>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Hash, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_map(initializer_list<pair<_Key, _Tp>>,
    typename unordered_map<int, int>::size_type,
    _Hash, _Allocator)
    -> unordered_map<_Key, _Tp, _Hash, equal_to<_Key>, _Allocator>;
# 1240 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
  template<typename _Key, typename _Tp,
    typename _Hash = hash<_Key>,
    typename _Pred = equal_to<_Key>,
    typename _Alloc = allocator<std::pair<const _Key, _Tp>>>
    class unordered_multimap
    {
      typedef __ummap_hashtable<_Key, _Tp, _Hash, _Pred, _Alloc> _Hashtable;
      _Hashtable _M_h;

    public:



      typedef typename _Hashtable::key_type key_type;
      typedef typename _Hashtable::value_type value_type;
      typedef typename _Hashtable::mapped_type mapped_type;
      typedef typename _Hashtable::hasher hasher;
      typedef typename _Hashtable::key_equal key_equal;
      typedef typename _Hashtable::allocator_type allocator_type;




      typedef typename _Hashtable::pointer pointer;
      typedef typename _Hashtable::const_pointer const_pointer;
      typedef typename _Hashtable::reference reference;
      typedef typename _Hashtable::const_reference const_reference;
      typedef typename _Hashtable::iterator iterator;
      typedef typename _Hashtable::const_iterator const_iterator;
      typedef typename _Hashtable::local_iterator local_iterator;
      typedef typename _Hashtable::const_local_iterator const_local_iterator;
      typedef typename _Hashtable::size_type size_type;
      typedef typename _Hashtable::difference_type difference_type;



      using node_type = typename _Hashtable::node_type;





      unordered_multimap() = default;
# 1291 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      explicit
      unordered_multimap(size_type __n,
    const hasher& __hf = hasher(),
    const key_equal& __eql = key_equal(),
    const allocator_type& __a = allocator_type())
      : _M_h(__n, __hf, __eql, __a)
      { }
# 1312 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename _InputIterator>
 unordered_multimap(_InputIterator __first, _InputIterator __last,
      size_type __n = 0,
      const hasher& __hf = hasher(),
      const key_equal& __eql = key_equal(),
      const allocator_type& __a = allocator_type())
 : _M_h(__first, __last, __n, __hf, __eql, __a)
 { }


      unordered_multimap(const unordered_multimap&) = default;


      unordered_multimap(unordered_multimap&&) = default;





      explicit
      unordered_multimap(const allocator_type& __a)
      : _M_h(__a)
      { }






      unordered_multimap(const unordered_multimap& __ummap,
    const allocator_type& __a)
      : _M_h(__ummap._M_h, __a)
      { }






      unordered_multimap(unordered_multimap&& __ummap,
    const allocator_type& __a)
      : _M_h(std::move(__ummap._M_h), __a)
      { }
# 1367 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      unordered_multimap(initializer_list<value_type> __l,
    size_type __n = 0,
    const hasher& __hf = hasher(),
    const key_equal& __eql = key_equal(),
    const allocator_type& __a = allocator_type())
      : _M_h(__l, __n, __hf, __eql, __a)
      { }

      unordered_multimap(size_type __n, const allocator_type& __a)
      : unordered_multimap(__n, hasher(), key_equal(), __a)
      { }

      unordered_multimap(size_type __n, const hasher& __hf,
    const allocator_type& __a)
      : unordered_multimap(__n, __hf, key_equal(), __a)
      { }

      template<typename _InputIterator>
 unordered_multimap(_InputIterator __first, _InputIterator __last,
      size_type __n,
      const allocator_type& __a)
 : unordered_multimap(__first, __last, __n, hasher(), key_equal(), __a)
 { }

      template<typename _InputIterator>
 unordered_multimap(_InputIterator __first, _InputIterator __last,
      size_type __n, const hasher& __hf,
      const allocator_type& __a)
 : unordered_multimap(__first, __last, __n, __hf, key_equal(), __a)
 { }

      unordered_multimap(initializer_list<value_type> __l,
    size_type __n,
    const allocator_type& __a)
      : unordered_multimap(__l, __n, hasher(), key_equal(), __a)
      { }

      unordered_multimap(initializer_list<value_type> __l,
    size_type __n, const hasher& __hf,
    const allocator_type& __a)
      : unordered_multimap(__l, __n, __hf, key_equal(), __a)
      { }


      unordered_multimap&
      operator=(const unordered_multimap&) = default;


      unordered_multimap&
      operator=(unordered_multimap&&) = default;
# 1429 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      unordered_multimap&
      operator=(initializer_list<value_type> __l)
      {
 _M_h = __l;
 return *this;
      }


      allocator_type
      get_allocator() const noexcept
      { return _M_h.get_allocator(); }




      bool
      empty() const noexcept
      { return _M_h.empty(); }


      size_type
      size() const noexcept
      { return _M_h.size(); }


      size_type
      max_size() const noexcept
      { return _M_h.max_size(); }







      iterator
      begin() noexcept
      { return _M_h.begin(); }






      const_iterator
      begin() const noexcept
      { return _M_h.begin(); }

      const_iterator
      cbegin() const noexcept
      { return _M_h.begin(); }






      iterator
      end() noexcept
      { return _M_h.end(); }






      const_iterator
      end() const noexcept
      { return _M_h.end(); }

      const_iterator
      cend() const noexcept
      { return _M_h.end(); }
# 1521 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename... _Args>
 iterator
 emplace(_Args&&... __args)
 { return _M_h.emplace(std::forward<_Args>(__args)...); }
# 1548 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename... _Args>
 iterator
 emplace_hint(const_iterator __pos, _Args&&... __args)
 { return _M_h.emplace_hint(__pos, std::forward<_Args>(__args)...); }
# 1563 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      insert(const value_type& __x)
      { return _M_h.insert(__x); }

      iterator
      insert(value_type&& __x)
      { return _M_h.insert(std::move(__x)); }

      template<typename _Pair>
 __enable_if_t<is_constructible<value_type, _Pair&&>::value, iterator>
 insert(_Pair&& __x)
        { return _M_h.emplace(std::forward<_Pair>(__x)); }
# 1597 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      insert(const_iterator __hint, const value_type& __x)
      { return _M_h.insert(__hint, __x); }



      iterator
      insert(const_iterator __hint, value_type&& __x)
      { return _M_h.insert(__hint, std::move(__x)); }

      template<typename _Pair>
 __enable_if_t<is_constructible<value_type, _Pair&&>::value, iterator>
 insert(const_iterator __hint, _Pair&& __x)
        { return _M_h.emplace_hint(__hint, std::forward<_Pair>(__x)); }
# 1622 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      template<typename _InputIterator>
 void
 insert(_InputIterator __first, _InputIterator __last)
 { _M_h.insert(__first, __last); }
# 1635 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      insert(initializer_list<value_type> __l)
      { _M_h.insert(__l); }



      node_type
      extract(const_iterator __pos)
      {
 ;
 return _M_h.extract(__pos);
      }


      node_type
      extract(const key_type& __key)
      { return _M_h.extract(__key); }


      iterator
      insert(node_type&& __nh)
      { return _M_h._M_reinsert_node_multi(cend(), std::move(__nh)); }


      iterator
      insert(const_iterator __hint, node_type&& __nh)
      { return _M_h._M_reinsert_node_multi(__hint, std::move(__nh)); }
# 1678 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      erase(const_iterator __position)
      { return _M_h.erase(__position); }


      iterator
      erase(iterator __position)
      { return _M_h.erase(__position); }
# 1699 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      size_type
      erase(const key_type& __x)
      { return _M_h.erase(__x); }
# 1718 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      erase(const_iterator __first, const_iterator __last)
      { return _M_h.erase(__first, __last); }







      void
      clear() noexcept
      { _M_h.clear(); }
# 1742 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      swap(unordered_multimap& __x)
      noexcept( noexcept(_M_h.swap(__x._M_h)) )
      { _M_h.swap(__x._M_h); }


      template<typename, typename, typename>
 friend class std::_Hash_merge_helper;

      template<typename _H2, typename _P2>
 void
 merge(unordered_multimap<_Key, _Tp, _H2, _P2, _Alloc>& __source)
 {
   using _Merge_helper
     = _Hash_merge_helper<unordered_multimap, _H2, _P2>;
   _M_h._M_merge_multi(_Merge_helper::_S_get_table(__source));
 }

      template<typename _H2, typename _P2>
 void
 merge(unordered_multimap<_Key, _Tp, _H2, _P2, _Alloc>&& __source)
 { merge(__source); }

      template<typename _H2, typename _P2>
 void
 merge(unordered_map<_Key, _Tp, _H2, _P2, _Alloc>& __source)
 {
   using _Merge_helper
     = _Hash_merge_helper<unordered_multimap, _H2, _P2>;
   _M_h._M_merge_multi(_Merge_helper::_S_get_table(__source));
 }

      template<typename _H2, typename _P2>
 void
 merge(unordered_map<_Key, _Tp, _H2, _P2, _Alloc>&& __source)
 { merge(__source); }






      hasher
      hash_function() const
      { return _M_h.hash_function(); }



      key_equal
      key_eq() const
      { return _M_h.key_eq(); }
# 1808 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      iterator
      find(const key_type& __x)
      { return _M_h.find(__x); }

      const_iterator
      find(const key_type& __x) const
      { return _M_h.find(__x); }







      size_type
      count(const key_type& __x) const
      { return _M_h.count(__x); }







      bool
      contains(const key_type& __x) const
      { return _M_h.find(__x) != _M_h.end(); }
# 1844 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      std::pair<iterator, iterator>
      equal_range(const key_type& __x)
      { return _M_h.equal_range(__x); }

      std::pair<const_iterator, const_iterator>
      equal_range(const key_type& __x) const
      { return _M_h.equal_range(__x); }





      size_type
      bucket_count() const noexcept
      { return _M_h.bucket_count(); }


      size_type
      max_bucket_count() const noexcept
      { return _M_h.max_bucket_count(); }






      size_type
      bucket_size(size_type __n) const
      { return _M_h.bucket_size(__n); }






      size_type
      bucket(const key_type& __key) const
      { return _M_h.bucket(__key); }







      local_iterator
      begin(size_type __n)
      { return _M_h.begin(__n); }
# 1900 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      const_local_iterator
      begin(size_type __n) const
      { return _M_h.begin(__n); }

      const_local_iterator
      cbegin(size_type __n) const
      { return _M_h.cbegin(__n); }
# 1915 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      local_iterator
      end(size_type __n)
      { return _M_h.end(__n); }
# 1926 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      const_local_iterator
      end(size_type __n) const
      { return _M_h.end(__n); }

      const_local_iterator
      cend(size_type __n) const
      { return _M_h.cend(__n); }





      float
      load_factor() const noexcept
      { return _M_h.load_factor(); }



      float
      max_load_factor() const noexcept
      { return _M_h.max_load_factor(); }





      void
      max_load_factor(float __z)
      { _M_h.max_load_factor(__z); }
# 1963 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      rehash(size_type __n)
      { _M_h.rehash(__n); }
# 1974 "/opt/sutton/include/c++/9.0.0/bits/unordered_map.h" 3
      void
      reserve(size_type __n)
      { _M_h.reserve(__n); }

      template<typename _Key1, typename _Tp1, typename _Hash1, typename _Pred1,
        typename _Alloc1>
        friend bool
 operator==(const unordered_multimap<_Key1, _Tp1,
         _Hash1, _Pred1, _Alloc1>&,
     const unordered_multimap<_Key1, _Tp1,
         _Hash1, _Pred1, _Alloc1>&);
    };



  template<typename _InputIterator,
    typename _Hash = hash<__iter_key_t<_InputIterator>>,
    typename _Pred = equal_to<__iter_key_t<_InputIterator>>,
    typename _Allocator = allocator<__iter_to_alloc_t<_InputIterator>>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(_InputIterator, _InputIterator,
         unordered_multimap<int, int>::size_type = {},
         _Hash = _Hash(), _Pred = _Pred(),
         _Allocator = _Allocator())
    -> unordered_multimap<__iter_key_t<_InputIterator>,
     __iter_val_t<_InputIterator>, _Hash, _Pred,
     _Allocator>;

  template<typename _Key, typename _Tp, typename _Hash = hash<_Key>,
    typename _Pred = equal_to<_Key>,
    typename _Allocator = allocator<pair<const _Key, _Tp>>,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(initializer_list<pair<_Key, _Tp>>,
         unordered_multimap<int, int>::size_type = {},
         _Hash = _Hash(), _Pred = _Pred(),
         _Allocator = _Allocator())
    -> unordered_multimap<_Key, _Tp, _Hash, _Pred, _Allocator>;

  template<typename _InputIterator, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(_InputIterator, _InputIterator,
         unordered_multimap<int, int>::size_type, _Allocator)
    -> unordered_multimap<__iter_key_t<_InputIterator>,
     __iter_val_t<_InputIterator>,
     hash<__iter_key_t<_InputIterator>>,
     equal_to<__iter_key_t<_InputIterator>>, _Allocator>;

  template<typename _InputIterator, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(_InputIterator, _InputIterator, _Allocator)
    -> unordered_multimap<__iter_key_t<_InputIterator>,
     __iter_val_t<_InputIterator>,
     hash<__iter_key_t<_InputIterator>>,
     equal_to<__iter_key_t<_InputIterator>>, _Allocator>;

  template<typename _InputIterator, typename _Hash, typename _Allocator,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(_InputIterator, _InputIterator,
         unordered_multimap<int, int>::size_type, _Hash,
         _Allocator)
    -> unordered_multimap<__iter_key_t<_InputIterator>,
     __iter_val_t<_InputIterator>, _Hash,
     equal_to<__iter_key_t<_InputIterator>>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(initializer_list<pair<_Key, _Tp>>,
         unordered_multimap<int, int>::size_type,
         _Allocator)
    -> unordered_multimap<_Key, _Tp, hash<_Key>, equal_to<_Key>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(initializer_list<pair<_Key, _Tp>>, _Allocator)
    -> unordered_multimap<_Key, _Tp, hash<_Key>, equal_to<_Key>, _Allocator>;

  template<typename _Key, typename _Tp, typename _Hash, typename _Allocator,
    typename = _RequireAllocator<_Allocator>>
    unordered_multimap(initializer_list<pair<_Key, _Tp>>,
         unordered_multimap<int, int>::size_type,
         _Hash, _Allocator)
    -> unordered_multimap<_Key, _Tp, _Hash, equal_to<_Key>, _Allocator>;



  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline void
    swap(unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
  unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline void
    swap(unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
  unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline bool
    operator==(const unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
        const unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    { return __x._M_h._M_equal(__y._M_h); }

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline bool
    operator!=(const unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
        const unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    { return !(__x == __y); }

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline bool
    operator==(const unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
        const unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    { return __x._M_h._M_equal(__y._M_h); }

  template<class _Key, class _Tp, class _Hash, class _Pred, class _Alloc>
    inline bool
    operator!=(const unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __x,
        const unordered_multimap<_Key, _Tp, _Hash, _Pred, _Alloc>& __y)
    { return !(__x == __y); }





  template<typename _Key, typename _Val, typename _Hash1, typename _Eq1,
    typename _Alloc, typename _Hash2, typename _Eq2>
    struct _Hash_merge_helper<
      std::unordered_map<_Key, _Val, _Hash1, _Eq1, _Alloc>,
      _Hash2, _Eq2>
    {
    private:
      template<typename... _Tp>
 using unordered_map = std::unordered_map<_Tp...>;
      template<typename... _Tp>
 using unordered_multimap = std::unordered_multimap<_Tp...>;

      friend unordered_map<_Key, _Val, _Hash1, _Eq1, _Alloc>;

      static auto&
      _S_get_table(unordered_map<_Key, _Val, _Hash2, _Eq2, _Alloc>& __map)
      { return __map._M_h; }

      static auto&
      _S_get_table(unordered_multimap<_Key, _Val, _Hash2, _Eq2, _Alloc>& __map)
      { return __map._M_h; }
    };


  template<typename _Key, typename _Val, typename _Hash1, typename _Eq1,
    typename _Alloc, typename _Hash2, typename _Eq2>
    struct _Hash_merge_helper<
      std::unordered_multimap<_Key, _Val, _Hash1, _Eq1, _Alloc>,
      _Hash2, _Eq2>
    {
    private:
      template<typename... _Tp>
 using unordered_map = std::unordered_map<_Tp...>;
      template<typename... _Tp>
 using unordered_multimap = std::unordered_multimap<_Tp...>;

      friend unordered_multimap<_Key, _Val, _Hash1, _Eq1, _Alloc>;

      static auto&
      _S_get_table(unordered_map<_Key, _Val, _Hash2, _Eq2, _Alloc>& __map)
      { return __map._M_h; }

      static auto&
      _S_get_table(unordered_multimap<_Key, _Val, _Hash2, _Eq2, _Alloc>& __map)
      { return __map._M_h; }
    };



}
# 48 "/opt/sutton/include/c++/9.0.0/unordered_map" 2 3

# 1 "/opt/sutton/include/c++/9.0.0/bits/erase_if.h" 1 3
# 33 "/opt/sutton/include/c++/9.0.0/bits/erase_if.h" 3
       
# 34 "/opt/sutton/include/c++/9.0.0/bits/erase_if.h" 3



namespace std
{


  namespace __detail
  {
    template<typename _Container, typename _Predicate>
      typename _Container::size_type
      __erase_nodes_if(_Container& __cont, _Predicate __pred)
      {
 typename _Container::size_type __num = 0;
 for (auto __iter = __cont.begin(), __last = __cont.end();
      __iter != __last;)
   {
     if (__pred(*__iter))
       {
  __iter = __cont.erase(__iter);
  ++__num;
       }
     else
       ++__iter;
   }
 return __num;
      }
  }


}
# 50 "/opt/sutton/include/c++/9.0.0/unordered_map" 2 3
# 60 "/opt/sutton/include/c++/9.0.0/unordered_map" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

  namespace pmr
  {
    template<typename _Tp> class polymorphic_allocator;
    template<typename _Key, typename _Tp, typename _Hash = std::hash<_Key>,
      typename _Pred = std::equal_to<_Key>>
      using unordered_map
 = std::unordered_map<_Key, _Tp, _Hash, _Pred,
        polymorphic_allocator<pair<const _Key, _Tp>>>;
    template<typename _Key, typename _Tp, typename _Hash = std::hash<_Key>,
      typename _Pred = std::equal_to<_Key>>
      using unordered_multimap
 = std::unordered_multimap<_Key, _Tp, _Hash, _Pred,
      polymorphic_allocator<pair<const _Key, _Tp>>>;
  }

}



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

  template<typename _Key, typename _Tp, typename _Hash, typename _CPred,
    typename _Alloc, typename _Predicate>
    inline typename unordered_map<_Key, _Tp, _Hash, _CPred, _Alloc>::size_type
    erase_if(unordered_map<_Key, _Tp, _Hash, _CPred, _Alloc>& __cont,
      _Predicate __pred)
    { return __detail::__erase_nodes_if(__cont, __pred); }

  template<typename _Key, typename _Tp, typename _Hash, typename _CPred,
    typename _Alloc, typename _Predicate>
    inline typename unordered_multimap<_Key, _Tp, _Hash, _CPred, _Alloc>::
      size_type
    erase_if(unordered_multimap<_Key, _Tp, _Hash, _CPred, _Alloc>& __cont,
      _Predicate __pred)
    { return __detail::__erase_nodes_if(__cont, __pred); }

}
# 62 "/opt/sutton/include/c++/9.0.0/functional" 2 3






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






  template<typename _Callable, typename... _Args>
    inline invoke_result_t<_Callable, _Args...>
    invoke(_Callable&& __fn, _Args&&... __args)
    noexcept(is_nothrow_invocable_v<_Callable, _Args...>)
    {
      return std::__invoke(std::forward<_Callable>(__fn),
      std::forward<_Args>(__args)...);
    }


  template<typename _MemFunPtr,
    bool __is_mem_fn = is_member_function_pointer<_MemFunPtr>::value>
    class _Mem_fn_base
    : public _Mem_fn_traits<_MemFunPtr>::__maybe_type
    {
      using _Traits = _Mem_fn_traits<_MemFunPtr>;

      using _Arity = typename _Traits::__arity;
      using _Varargs = typename _Traits::__vararg;

      template<typename _Func, typename... _BoundArgs>
 friend struct _Bind_check_arity;

      _MemFunPtr _M_pmf;

    public:

      using result_type = typename _Traits::__result_type;

      explicit constexpr
      _Mem_fn_base(_MemFunPtr __pmf) noexcept : _M_pmf(__pmf) { }

      template<typename... _Args>
 auto
 operator()(_Args&&... __args) const
 noexcept(noexcept(
       std::__invoke(_M_pmf, std::forward<_Args>(__args)...)))
 -> decltype(std::__invoke(_M_pmf, std::forward<_Args>(__args)...))
 { return std::__invoke(_M_pmf, std::forward<_Args>(__args)...); }
    };


  template<typename _MemObjPtr>
    class _Mem_fn_base<_MemObjPtr, false>
    {
      using _Arity = integral_constant<size_t, 0>;
      using _Varargs = false_type;

      template<typename _Func, typename... _BoundArgs>
 friend struct _Bind_check_arity;

      _MemObjPtr _M_pm;

    public:
      explicit constexpr
      _Mem_fn_base(_MemObjPtr __pm) noexcept : _M_pm(__pm) { }

      template<typename _Tp>
 auto
 operator()(_Tp&& __obj) const
 noexcept(noexcept(std::__invoke(_M_pm, std::forward<_Tp>(__obj))))
 -> decltype(std::__invoke(_M_pm, std::forward<_Tp>(__obj)))
 { return std::__invoke(_M_pm, std::forward<_Tp>(__obj)); }
    };

  template<typename _MemberPointer>
    struct _Mem_fn;

  template<typename _Res, typename _Class>
    struct _Mem_fn<_Res _Class::*>
    : _Mem_fn_base<_Res _Class::*>
    {
      using _Mem_fn_base<_Res _Class::*>::_Mem_fn_base;
    };
# 158 "/opt/sutton/include/c++/9.0.0/functional" 3
  template<typename _Tp, typename _Class>
    inline _Mem_fn<_Tp _Class::*>
    mem_fn(_Tp _Class::* __pm) noexcept
    {
      return _Mem_fn<_Tp _Class::*>(__pm);
    }
# 173 "/opt/sutton/include/c++/9.0.0/functional" 3
  template<typename _Tp>
    struct is_bind_expression
    : public false_type { };
# 184 "/opt/sutton/include/c++/9.0.0/functional" 3
  template<typename _Tp>
    struct is_placeholder
    : public integral_constant<int, 0>
    { };


  template <typename _Tp> inline constexpr bool is_bind_expression_v
    = is_bind_expression<_Tp>::value;
  template <typename _Tp> inline constexpr int is_placeholder_v
    = is_placeholder<_Tp>::value;





  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>
    { };



  template<std::size_t __i, typename _Tuple>
    using _Safe_tuple_element_t
      = typename enable_if<(__i < tuple_size<_Tuple>::value),
      tuple_element<__i, _Tuple>>::type::type;
# 275 "/opt/sutton/include/c++/9.0.0/functional" 3
  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:




      template<typename _CVRef, typename _Tuple>
 _Tp&
 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::get<_Indexes>(std::move(__tuple))...);
 }
    };






  template<typename _Arg>
    class _Mu<_Arg, false, true>
    {
    public:
      template<typename _Tuple>
 _Safe_tuple_element_t<(is_placeholder<_Arg>::value - 1), _Tuple>&&
 operator()(const volatile _Arg&, _Tuple& __tuple) const volatile
 {
   return
     ::std::get<(is_placeholder<_Arg>::value - 1)>(std::move(__tuple));
 }
    };






  template<typename _Arg>
    class _Mu<_Arg, false, false>
    {
    public:
      template<typename _CVArg, typename _Tuple>
 _CVArg&&
 operator()(_CVArg&& __arg, _Tuple&) const volatile
 { return std::forward<_CVArg>(__arg); }
    };


  template<std::size_t _Ind, typename... _Tp>
    inline auto
    __volget(volatile tuple<_Tp...>& __tuple)
    -> __tuple_element_t<_Ind, tuple<_Tp...>> 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)
    -> __tuple_element_t<_Ind, tuple<_Tp...>> 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 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 std::__invoke(_M_f,
       _Mu<_Bound_args>()(std::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 std::__invoke(_M_f,
       _Mu<_Bound_args>()(std::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 std::__invoke(_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 std::__invoke(_M_f,
       _Mu<_Bound_args>()(__volget<_Indexes>(_M_bound_args), __args)...
       );
 }

      template<typename _BoundArg, typename _CallArgs>
 using _Mu_type = decltype(
     _Mu<typename remove_cv<_BoundArg>::type>()(
       std::declval<_BoundArg&>(), std::declval<_CallArgs&>()) );

      template<typename _Fn, typename _CallArgs, typename... _BArgs>
 using _Res_type_impl
   = typename result_of< _Fn&(_Mu_type<_BArgs, _CallArgs>&&...) >::type;

      template<typename _CallArgs>
 using _Res_type = _Res_type_impl<_Functor, _CallArgs, _Bound_args...>;

      template<typename _CallArgs>
 using __dependent = typename
   enable_if<bool(tuple_size<_CallArgs>::value+1), _Functor>::type;

      template<typename _CallArgs, template<class> class __cv_quals>
 using _Res_type_cv = _Res_type_impl<
   typename __cv_quals<__dependent<_CallArgs>>::type,
   _CallArgs,
   typename __cv_quals<_Bound_args>::type...>;

     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 = _Res_type<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 = _Res_type_cv<tuple<_Args...>, add_const>>
 _Result
 operator()(_Args&&... __args) const
 {
   return this->__call_c<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
# 505 "/opt/sutton/include/c++/9.0.0/functional" 3
      template<typename... _Args,
        typename _Result = _Res_type_cv<tuple<_Args...>, add_volatile>>
 [[deprecated("std::bind does not support volatile in C++17")]]
 _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 = _Res_type_cv<tuple<_Args...>, add_cv>>
 [[deprecated("std::bind does not support volatile in C++17")]]
 _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 typename _Build_index_tuple<sizeof...(_Bound_args)>::__type
 _Bound_indexes;

      _Functor _M_f;
      tuple<_Bound_args...> _M_bound_args;


      template<typename _Res>
 using __enable_if_void
   = typename enable_if<is_void<_Res>{}>::type;

      template<typename _Res>
 using __disable_if_void
   = typename enable_if<!is_void<_Res>{}, _Result>::type;


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __disable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>)
 {
   return std::__invoke(_M_f, _Mu<_Bound_args>()
        (std::get<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __enable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>)
 {
   std::__invoke(_M_f, _Mu<_Bound_args>()
        (std::get<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __disable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>) const
 {
   return std::__invoke(_M_f, _Mu<_Bound_args>()
        (std::get<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __enable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>) const
 {
   std::__invoke(_M_f, _Mu<_Bound_args>()
        (std::get<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __disable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>) volatile
 {
   return std::__invoke(_M_f, _Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __enable_if_void<_Res>
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>) volatile
 {
   std::__invoke(_M_f, _Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __disable_if_void<_Res>
 __call(tuple<_Args...>&& __args,
        _Index_tuple<_Indexes...>) const volatile
 {
   return std::__invoke(_M_f, _Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }


      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 __enable_if_void<_Res>
 __call(tuple<_Args...>&& __args,
        _Index_tuple<_Indexes...>) const volatile
 {
   std::__invoke(_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>
 [[deprecated("std::bind does not support volatile in C++17")]]
 result_type
 operator()(_Args&&... __args) volatile
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }


      template<typename... _Args>
 [[deprecated("std::bind does not support volatile in C++17")]]
 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 _Func, typename... _BoundArgs>
    struct _Bind_check_arity { };

  template<typename _Ret, typename... _Args, typename... _BoundArgs>
    struct _Bind_check_arity<_Ret (*)(_Args...), _BoundArgs...>
    {
      static_assert(sizeof...(_BoundArgs) == sizeof...(_Args),
                   "Wrong number of arguments for function");
    };

  template<typename _Ret, typename... _Args, typename... _BoundArgs>
    struct _Bind_check_arity<_Ret (*)(_Args......), _BoundArgs...>
    {
      static_assert(sizeof...(_BoundArgs) >= sizeof...(_Args),
                   "Wrong number of arguments for function");
    };

  template<typename _Tp, typename _Class, typename... _BoundArgs>
    struct _Bind_check_arity<_Tp _Class::*, _BoundArgs...>
    {
      using _Arity = typename _Mem_fn<_Tp _Class::*>::_Arity;
      using _Varargs = typename _Mem_fn<_Tp _Class::*>::_Varargs;
      static_assert(_Varargs::value
      ? sizeof...(_BoundArgs) >= _Arity::value + 1
      : sizeof...(_BoundArgs) == _Arity::value + 1,
      "Wrong number of arguments for pointer-to-member");
    };




  template<typename _Tp, typename _Tp2 = typename decay<_Tp>::type>
    using __is_socketlike = __or_<is_integral<_Tp2>, is_enum<_Tp2>>;

  template<bool _SocketLike, typename _Func, typename... _BoundArgs>
    struct _Bind_helper
    : _Bind_check_arity<typename decay<_Func>::type, _BoundArgs...>
    {
      typedef typename decay<_Func>::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;
      return typename __helper_type::type(std::forward<_Func>(__f),
       std::forward<_BoundArgs>(__args)...);
    }

  template<typename _Result, typename _Func, typename... _BoundArgs>
    struct _Bindres_helper
    : _Bind_check_arity<typename decay<_Func>::type, _BoundArgs...>
    {
      typedef typename decay<_Func>::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;
      return typename __helper_type::type(std::forward<_Func>(__f),
       std::forward<_BoundArgs>(__args)...);
    }



  template<typename _Fn>
    class _Not_fn
    {
      template<typename _Fn2, typename... _Args>
 using __inv_res_t = typename __invoke_result<_Fn2, _Args...>::type;

      template<typename _Tp>
 static decltype(!std::declval<_Tp>())
 _S_not() noexcept(noexcept(!std::declval<_Tp>()));

    public:
      template<typename _Fn2>
 _Not_fn(_Fn2&& __fn, int)
 : _M_fn(std::forward<_Fn2>(__fn)) { }

      _Not_fn(const _Not_fn& __fn) = default;
      _Not_fn(_Not_fn&& __fn) = default;
      ~_Not_fn() = default;
# 873 "/opt/sutton/include/c++/9.0.0/functional" 3
      template<typename... _Args> decltype(_S_not<__inv_res_t<_Fn &, _Args...>>()) operator()(_Args&&... __args) & noexcept(__is_nothrow_invocable<_Fn &, _Args...>::value && noexcept(_S_not<__inv_res_t<_Fn &, _Args...>>())) { return !std::__invoke(std::forward< _Fn & >(_M_fn), std::forward<_Args>(__args)...); }
      template<typename... _Args> decltype(_S_not<__inv_res_t<_Fn const &, _Args...>>()) operator()(_Args&&... __args) const & noexcept(__is_nothrow_invocable<_Fn const &, _Args...>::value && noexcept(_S_not<__inv_res_t<_Fn const &, _Args...>>())) { return !std::__invoke(std::forward< _Fn const & >(_M_fn), std::forward<_Args>(__args)...); }
      template<typename... _Args> decltype(_S_not<__inv_res_t<_Fn &&, _Args...>>()) operator()(_Args&&... __args) && noexcept(__is_nothrow_invocable<_Fn &&, _Args...>::value && noexcept(_S_not<__inv_res_t<_Fn &&, _Args...>>())) { return !std::__invoke(std::forward< _Fn && >(_M_fn), std::forward<_Args>(__args)...); }
      template<typename... _Args> decltype(_S_not<__inv_res_t<_Fn const &&, _Args...>>()) operator()(_Args&&... __args) const && noexcept(__is_nothrow_invocable<_Fn const &&, _Args...>::value && noexcept(_S_not<__inv_res_t<_Fn const &&, _Args...>>())) { return !std::__invoke(std::forward< _Fn const && >(_M_fn), std::forward<_Args>(__args)...); }


    private:
      _Fn _M_fn;
    };

  template<typename _Tp, typename _Pred>
    struct __is_byte_like : false_type { };

  template<typename _Tp>
    struct __is_byte_like<_Tp, equal_to<_Tp>>
    : __bool_constant<sizeof(_Tp) == 1 && is_integral<_Tp>::value> { };

  template<typename _Tp>
    struct __is_byte_like<_Tp, equal_to<void>>
    : __bool_constant<sizeof(_Tp) == 1 && is_integral<_Tp>::value> { };



  enum class byte : unsigned char;

  template<>
    struct __is_byte_like<byte, equal_to<byte>>
    : true_type { };

  template<>
    struct __is_byte_like<byte, equal_to<void>>
    : true_type { };



  template<typename _Fn>
    inline auto
    not_fn(_Fn&& __fn)
    noexcept(std::is_nothrow_constructible<std::decay_t<_Fn>, _Fn&&>::value)
    {
      return _Not_fn<std::decay_t<_Fn>>{std::forward<_Fn>(__fn), 0};
    }




  template<typename _ForwardIterator1, typename _BinaryPredicate = equal_to<>>
    class default_searcher
    {
    public:
      default_searcher(_ForwardIterator1 __pat_first,
         _ForwardIterator1 __pat_last,
         _BinaryPredicate __pred = _BinaryPredicate())
      : _M_m(__pat_first, __pat_last, std::move(__pred))
      { }

      template<typename _ForwardIterator2>
        pair<_ForwardIterator2, _ForwardIterator2>
 operator()(_ForwardIterator2 __first, _ForwardIterator2 __last) const
 {
   _ForwardIterator2 __first_ret =
     std::search(__first, __last, std::get<0>(_M_m), std::get<1>(_M_m),
   std::get<2>(_M_m));
   auto __ret = std::make_pair(__first_ret, __first_ret);
   if (__ret.first != __last)
     std::advance(__ret.second, std::distance(std::get<0>(_M_m),
           std::get<1>(_M_m)));
   return __ret;
 }

    private:
      tuple<_ForwardIterator1, _ForwardIterator1, _BinaryPredicate> _M_m;
    };

  template<typename _Key, typename _Tp, typename _Hash, typename _Pred>
    struct __boyer_moore_map_base
    {
      template<typename _RAIter>
 __boyer_moore_map_base(_RAIter __pat, size_t __patlen,
          _Hash&& __hf, _Pred&& __pred)
 : _M_bad_char{ __patlen, std::move(__hf), std::move(__pred) }
 {
   if (__patlen > 0)
     for (__diff_type __i = 0; __i < __patlen - 1; ++__i)
       _M_bad_char[__pat[__i]] = __patlen - 1 - __i;
 }

      using __diff_type = _Tp;

      __diff_type
      _M_lookup(_Key __key, __diff_type __not_found) const
      {
 auto __iter = _M_bad_char.find(__key);
 if (__iter == _M_bad_char.end())
   return __not_found;
 return __iter->second;
      }

      _Pred
      _M_pred() const { return _M_bad_char.key_eq(); }

      std::unordered_map<_Key, _Tp, _Hash, _Pred> _M_bad_char;
    };

  template<typename _Tp, size_t _Len, typename _Pred>
    struct __boyer_moore_array_base
    {
      template<typename _RAIter, typename _Unused>
 __boyer_moore_array_base(_RAIter __pat, size_t __patlen,
     _Unused&&, _Pred&& __pred)
 : _M_bad_char{ std::array<_Tp, _Len>{}, std::move(__pred) }
 {
   std::get<0>(_M_bad_char).fill(__patlen);
   if (__patlen > 0)
     for (__diff_type __i = 0; __i < __patlen - 1; ++__i)
       {
  auto __ch = __pat[__i];
  using _UCh = make_unsigned_t<decltype(__ch)>;
  auto __uch = static_cast<_UCh>(__ch);
  std::get<0>(_M_bad_char)[__uch] = __patlen - 1 - __i;
       }
 }

      using __diff_type = _Tp;

      template<typename _Key>
 __diff_type
 _M_lookup(_Key __key, __diff_type __not_found) const
 {
   auto __ukey = static_cast<make_unsigned_t<_Key>>(__key);
   if (__ukey >= _Len)
     return __not_found;
   return std::get<0>(_M_bad_char)[__ukey];
 }

      const _Pred&
      _M_pred() const { return std::get<1>(_M_bad_char); }

      tuple<std::array<_Tp, _Len>, _Pred> _M_bad_char;
    };



  template<typename _RAIter, typename _Hash, typename _Pred,
           typename _Val = typename iterator_traits<_RAIter>::value_type,
    typename _Diff = typename iterator_traits<_RAIter>::difference_type>
    using __boyer_moore_base_t
      = conditional_t<__is_byte_like<_Val, _Pred>::value,
        __boyer_moore_array_base<_Diff, 256, _Pred>,
        __boyer_moore_map_base<_Val, _Diff, _Hash, _Pred>>;

  template<typename _RAIter, typename _Hash
      = hash<typename iterator_traits<_RAIter>::value_type>,
    typename _BinaryPredicate = equal_to<>>
    class boyer_moore_searcher
    : __boyer_moore_base_t<_RAIter, _Hash, _BinaryPredicate>
    {
      using _Base = __boyer_moore_base_t<_RAIter, _Hash, _BinaryPredicate>;
      using typename _Base::__diff_type;

    public:
      boyer_moore_searcher(_RAIter __pat_first, _RAIter __pat_last,
      _Hash __hf = _Hash(),
      _BinaryPredicate __pred = _BinaryPredicate());

      template<typename _RandomAccessIterator2>
        pair<_RandomAccessIterator2, _RandomAccessIterator2>
 operator()(_RandomAccessIterator2 __first,
     _RandomAccessIterator2 __last) const;

    private:
      bool
      _M_is_prefix(_RAIter __word, __diff_type __len,
     __diff_type __pos)
      {
 const auto& __pred = this->_M_pred();
 __diff_type __suffixlen = __len - __pos;
 for (__diff_type __i = 0; __i < __suffixlen; ++__i)
   if (!__pred(__word[__i], __word[__pos + __i]))
     return false;
 return true;
      }

      __diff_type
      _M_suffix_length(_RAIter __word, __diff_type __len,
         __diff_type __pos)
      {
 const auto& __pred = this->_M_pred();
 __diff_type __i = 0;
 while (__pred(__word[__pos - __i], __word[__len - 1 - __i])
        && __i < __pos)
   {
     ++__i;
   }
 return __i;
      }

      template<typename _Tp>
 __diff_type
 _M_bad_char_shift(_Tp __c) const
 { return this->_M_lookup(__c, _M_pat_end - _M_pat); }

      _RAIter _M_pat;
      _RAIter _M_pat_end;
      std::vector<__diff_type> _M_good_suffix;
    };

  template<typename _RAIter, typename _Hash
      = hash<typename iterator_traits<_RAIter>::value_type>,
    typename _BinaryPredicate = equal_to<>>
    class boyer_moore_horspool_searcher
    : __boyer_moore_base_t<_RAIter, _Hash, _BinaryPredicate>
    {
      using _Base = __boyer_moore_base_t<_RAIter, _Hash, _BinaryPredicate>;
      using typename _Base::__diff_type;

    public:
      boyer_moore_horspool_searcher(_RAIter __pat,
        _RAIter __pat_end,
        _Hash __hf = _Hash(),
        _BinaryPredicate __pred
        = _BinaryPredicate())
      : _Base(__pat, __pat_end - __pat, std::move(__hf), std::move(__pred)),
 _M_pat(__pat), _M_pat_end(__pat_end)
      { }

      template<typename _RandomAccessIterator2>
        pair<_RandomAccessIterator2, _RandomAccessIterator2>
 operator()(_RandomAccessIterator2 __first,
     _RandomAccessIterator2 __last) const
 {
   const auto& __pred = this->_M_pred();
   auto __patlen = _M_pat_end - _M_pat;
   if (__patlen == 0)
     return std::make_pair(__first, __first);
   auto __len = __last - __first;
   while (__len >= __patlen)
     {
       for (auto __scan = __patlen - 1;
     __pred(__first[__scan], _M_pat[__scan]); --__scan)
  if (__scan == 0)
    return std::make_pair(__first, __first + __patlen);
       auto __shift = _M_bad_char_shift(__first[__patlen - 1]);
       __len -= __shift;
       __first += __shift;
     }
   return std::make_pair(__last, __last);
 }

    private:
      template<typename _Tp>
 __diff_type
 _M_bad_char_shift(_Tp __c) const
 { return this->_M_lookup(__c, _M_pat_end - _M_pat); }

      _RAIter _M_pat;
      _RAIter _M_pat_end;
    };

  template<typename _RAIter, typename _Hash, typename _BinaryPredicate>
    boyer_moore_searcher<_RAIter, _Hash, _BinaryPredicate>::
    boyer_moore_searcher(_RAIter __pat, _RAIter __pat_end,
    _Hash __hf, _BinaryPredicate __pred)
    : _Base(__pat, __pat_end - __pat, std::move(__hf), std::move(__pred)),
      _M_pat(__pat), _M_pat_end(__pat_end), _M_good_suffix(__pat_end - __pat)
    {
      auto __patlen = __pat_end - __pat;
      if (__patlen == 0)
 return;
      __diff_type __last_prefix = __patlen - 1;
      for (__diff_type __p = __patlen - 1; __p >= 0; --__p)
 {
   if (_M_is_prefix(__pat, __patlen, __p + 1))
     __last_prefix = __p + 1;
   _M_good_suffix[__p] = __last_prefix + (__patlen - 1 - __p);
 }
      for (__diff_type __p = 0; __p < __patlen - 1; ++__p)
 {
   auto __slen = _M_suffix_length(__pat, __patlen, __p);
   auto __pos = __patlen - 1 - __slen;
   if (!__pred(__pat[__p - __slen], __pat[__pos]))
     _M_good_suffix[__pos] = __patlen - 1 - __p + __slen;
 }
    }

  template<typename _RAIter, typename _Hash, typename _BinaryPredicate>
  template<typename _RandomAccessIterator2>
    pair<_RandomAccessIterator2, _RandomAccessIterator2>
    boyer_moore_searcher<_RAIter, _Hash, _BinaryPredicate>::
    operator()(_RandomAccessIterator2 __first,
        _RandomAccessIterator2 __last) const
    {
      auto __patlen = _M_pat_end - _M_pat;
      if (__patlen == 0)
 return std::make_pair(__first, __first);
      const auto& __pred = this->_M_pred();
      __diff_type __i = __patlen - 1;
      auto __stringlen = __last - __first;
      while (__i < __stringlen)
 {
   __diff_type __j = __patlen - 1;
   while (__j >= 0 && __pred(__first[__i], _M_pat[__j]))
     {
       --__i;
       --__j;
     }
   if (__j < 0)
     {
       const auto __match = __first + __i + 1;
       return std::make_pair(__match, __match + __patlen);
     }
   __i += std::max(_M_bad_char_shift(__first[__i]),
     _M_good_suffix[__j]);
 }
      return std::make_pair(__last, __last);
    }





}
# 2813 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3


namespace Catch {
namespace Matchers {
namespace Generic {

namespace Detail {
    std::string finalizeDescription(const std::string& desc);
}

template <typename T>
class PredicateMatcher : public MatcherBase<T> {
    std::function<bool(T const&)> m_predicate;
    std::string m_description;
public:

    PredicateMatcher(std::function<bool(T const&)> const& elem, std::string const& descr)
        :m_predicate(std::move(elem)),
        m_description(Detail::finalizeDescription(descr))
    {}

    bool match( T const& item ) const override {
        return m_predicate(item);
    }

    std::string describe() const override {
        return m_description;
    }
};

}





    template<typename T>
    Generic::PredicateMatcher<T> Predicate(std::function<bool(T const&)> const& predicate, std::string const& description = "") {
        return Generic::PredicateMatcher<T>(predicate, description);
    }

}
}






namespace Catch {
namespace Matchers {

    namespace StdString {

        struct CasedString
        {
            CasedString( std::string const& str, CaseSensitive::Choice caseSensitivity );
            std::string adjustString( std::string const& str ) const;
            std::string caseSensitivitySuffix() const;

            CaseSensitive::Choice m_caseSensitivity;
            std::string m_str;
        };

        struct StringMatcherBase : MatcherBase<std::string> {
            StringMatcherBase( std::string const& operation, CasedString const& comparator );
            std::string describe() const override;

            CasedString m_comparator;
            std::string m_operation;
        };

        struct EqualsMatcher : StringMatcherBase {
            EqualsMatcher( CasedString const& comparator );
            bool match( std::string const& source ) const override;
        };
        struct ContainsMatcher : StringMatcherBase {
            ContainsMatcher( CasedString const& comparator );
            bool match( std::string const& source ) const override;
        };
        struct StartsWithMatcher : StringMatcherBase {
            StartsWithMatcher( CasedString const& comparator );
            bool match( std::string const& source ) const override;
        };
        struct EndsWithMatcher : StringMatcherBase {
            EndsWithMatcher( CasedString const& comparator );
            bool match( std::string const& source ) const override;
        };

        struct RegexMatcher : MatcherBase<std::string> {
            RegexMatcher( std::string regex, CaseSensitive::Choice caseSensitivity );
            bool match( std::string const& matchee ) const override;
            std::string describe() const override;

        private:
            std::string m_regex;
            CaseSensitive::Choice m_caseSensitivity;
        };

    }




    StdString::EqualsMatcher Equals( std::string const& str, CaseSensitive::Choice caseSensitivity = CaseSensitive::Yes );
    StdString::ContainsMatcher Contains( std::string const& str, CaseSensitive::Choice caseSensitivity = CaseSensitive::Yes );
    StdString::EndsWithMatcher EndsWith( std::string const& str, CaseSensitive::Choice caseSensitivity = CaseSensitive::Yes );
    StdString::StartsWithMatcher StartsWith( std::string const& str, CaseSensitive::Choice caseSensitivity = CaseSensitive::Yes );
    StdString::RegexMatcher Matches( std::string const& regex, CaseSensitive::Choice caseSensitivity = CaseSensitive::Yes );

}
}




# 1 "/opt/sutton/include/c++/9.0.0/algorithm" 1 3
# 58 "/opt/sutton/include/c++/9.0.0/algorithm" 3
       
# 59 "/opt/sutton/include/c++/9.0.0/algorithm" 3
# 2930 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3

namespace Catch {
namespace Matchers {

    namespace Vector {
        namespace Detail {
            template <typename InputIterator, typename T>
            size_t count(InputIterator first, InputIterator last, T const& item) {
                size_t cnt = 0;
                for (; first != last; ++first) {
                    if (*first == item) {
                        ++cnt;
                    }
                }
                return cnt;
            }
            template <typename InputIterator, typename T>
            bool contains(InputIterator first, InputIterator last, T const& item) {
                for (; first != last; ++first) {
                    if (*first == item) {
                        return true;
                    }
                }
                return false;
            }
        }

        template<typename T>
        struct ContainsElementMatcher : MatcherBase<std::vector<T>> {

            ContainsElementMatcher(T const &comparator) : m_comparator( comparator) {}

            bool match(std::vector<T> const &v) const override {
                for (auto const& el : v) {
                    if (el == m_comparator) {
                        return true;
                    }
                }
                return false;
            }

            std::string describe() const override {
                return "Contains: " + ::Catch::Detail::stringify( m_comparator );
            }

            T const& m_comparator;
        };

        template<typename T>
        struct ContainsMatcher : MatcherBase<std::vector<T>> {

            ContainsMatcher(std::vector<T> const &comparator) : m_comparator( comparator ) {}

            bool match(std::vector<T> const &v) const override {

                if (m_comparator.size() > v.size())
                    return false;
                for (auto const& comparator : m_comparator) {
                    auto present = false;
                    for (const auto& el : v) {
                        if (el == comparator) {
                            present = true;
                            break;
                        }
                    }
                    if (!present) {
                        return false;
                    }
                }
                return true;
            }
            std::string describe() const override {
                return "Contains: " + ::Catch::Detail::stringify( m_comparator );
            }

            std::vector<T> const& m_comparator;
        };

        template<typename T>
        struct EqualsMatcher : MatcherBase<std::vector<T>> {

            EqualsMatcher(std::vector<T> const &comparator) : m_comparator( comparator ) {}

            bool match(std::vector<T> const &v) const override {




                if (m_comparator.size() != v.size())
                    return false;
                for (std::size_t i = 0; i < v.size(); ++i)
                    if (m_comparator[i] != v[i])
                        return false;
                return true;
            }
            std::string describe() const override {
                return "Equals: " + ::Catch::Detail::stringify( m_comparator );
            }
            std::vector<T> const& m_comparator;
        };

        template<typename T>
        struct UnorderedEqualsMatcher : MatcherBase<std::vector<T>> {
            UnorderedEqualsMatcher(std::vector<T> const& target) : m_target(target) {}
            bool match(std::vector<T> const& vec) const override {


                if (m_target.size() != vec.size()) {
                    return false;
                }
                auto lfirst = m_target.begin(), llast = m_target.end();
                auto rfirst = vec.begin(), rlast = vec.end();

                while (lfirst != llast && *lfirst == *rfirst) {
                    ++lfirst; ++rfirst;
                }
                if (lfirst == llast) {
                    return true;
                }

                for (auto mid = lfirst; mid != llast; ++mid) {

                    if (Detail::contains(lfirst, mid, *mid)) {
                        continue;
                    }
                    size_t num_vec = Detail::count(rfirst, rlast, *mid);
                    if (num_vec == 0 || Detail::count(lfirst, llast, *mid) != num_vec) {
                        return false;
                    }
                }

                return true;
            }

            std::string describe() const override {
                return "UnorderedEquals: " + ::Catch::Detail::stringify(m_target);
            }
        private:
            std::vector<T> const& m_target;
        };

    }




    template<typename T>
    Vector::ContainsMatcher<T> Contains( std::vector<T> const& comparator ) {
        return Vector::ContainsMatcher<T>( comparator );
    }

    template<typename T>
    Vector::ContainsElementMatcher<T> VectorContains( T const& comparator ) {
        return Vector::ContainsElementMatcher<T>( comparator );
    }

    template<typename T>
    Vector::EqualsMatcher<T> Equals( std::vector<T> const& comparator ) {
        return Vector::EqualsMatcher<T>( comparator );
    }

    template<typename T>
    Vector::UnorderedEqualsMatcher<T> UnorderedEquals(std::vector<T> const& target) {
        return Vector::UnorderedEqualsMatcher<T>(target);
    }

}
}


namespace Catch {

    template<typename ArgT, typename MatcherT>
    class MatchExpr : public ITransientExpression {
        ArgT const& m_arg;
        MatcherT m_matcher;
        StringRef m_matcherString;
    public:
        MatchExpr( ArgT const& arg, MatcherT const& matcher, StringRef const& matcherString )
        : ITransientExpression{ true, matcher.match( arg ) },
            m_arg( arg ),
            m_matcher( matcher ),
            m_matcherString( matcherString )
        {}

        void streamReconstructedExpression( std::ostream &os ) const override {
            auto matcherAsString = m_matcher.toString();
            os << Catch::Detail::stringify( m_arg ) << ' ';
            if( matcherAsString == Detail::unprintableString )
                os << m_matcherString;
            else
                os << matcherAsString;
        }
    };

    using StringMatcher = Matchers::Impl::MatcherBase<std::string>;

    void handleExceptionMatchExpr( AssertionHandler& handler, StringMatcher const& matcher, StringRef const& matcherString );

    template<typename ArgT, typename MatcherT>
    auto makeMatchExpr( ArgT const& arg, MatcherT const& matcher, StringRef const& matcherString ) -> MatchExpr<ArgT, MatcherT> {
        return MatchExpr<ArgT, MatcherT>( arg, matcher, matcherString );
    }

}
# 3175 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    namespace Generators {
        class GeneratorBase {
        protected:
            size_t m_size = 0;

        public:
            GeneratorBase( size_t size ) : m_size( size ) {}
            virtual ~GeneratorBase();
            auto size() const -> size_t { return m_size; }
        };
        using GeneratorBasePtr = std::unique_ptr<GeneratorBase>;

    }

    struct IGeneratorTracker {
        virtual ~IGeneratorTracker();
        virtual auto hasGenerator() const -> bool = 0;
        virtual auto getGenerator() const -> Generators::GeneratorBasePtr const& = 0;
        virtual void setGenerator( Generators::GeneratorBasePtr&& generator ) = 0;
        virtual auto getIndex() const -> std::size_t = 0;
    };

}






namespace Catch {

    template <typename Ex>
    [[noreturn]]
    void throw_exception(Ex const& e) {
        throw e;
    }




}
# 3233 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
# 1 "/opt/sutton/include/c++/9.0.0/cassert" 1 3
# 41 "/opt/sutton/include/c++/9.0.0/cassert" 3
       
# 42 "/opt/sutton/include/c++/9.0.0/cassert" 3


# 1 "/usr/include/assert.h" 1 3 4
# 66 "/usr/include/assert.h" 3 4
extern "C" {


extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     throw () __attribute__ ((__noreturn__));


extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     throw () __attribute__ ((__noreturn__));




extern void __assert (const char *__assertion, const char *__file, int __line)
     throw () __attribute__ ((__noreturn__));


}
# 44 "/opt/sutton/include/c++/9.0.0/cassert" 2 3
# 3234 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 2 3



namespace Catch {
namespace Generators {


    namespace pf{
        template<typename T, typename... Args>
        std::unique_ptr<T> make_unique( Args&&... args ) {
            return std::unique_ptr<T>(new T(std::forward<Args>(args)...));
        }
    }

    template<typename T>
    struct IGenerator {
        virtual ~IGenerator() {}
        virtual auto get( size_t index ) const -> T = 0;
    };

    template<typename T>
    class SingleValueGenerator : public IGenerator<T> {
        T m_value;
    public:
        SingleValueGenerator( T const& value ) : m_value( value ) {}

        auto get( size_t ) const -> T override {
            return m_value;
        }
    };

    template<typename T>
    class FixedValuesGenerator : public IGenerator<T> {
        std::vector<T> m_values;

    public:
        FixedValuesGenerator( std::initializer_list<T> values ) : m_values( values ) {}

        auto get( size_t index ) const -> T override {
            return m_values[index];
        }
    };

    template<typename T>
    class RangeGenerator : public IGenerator<T> {
        T const m_first;
        T const m_last;

    public:
        RangeGenerator( T const& first, T const& last ) : m_first( first ), m_last( last ) {
            (static_cast <bool> (m_last > m_first) ? void (0) : __assert_fail ("m_last > m_first", "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp", 3284, __extension__ __PRETTY_FUNCTION__));
        }

        auto get( size_t index ) const -> T override {

            return static_cast<T>(m_first+index);
        }
    };

    template<typename T>
    struct NullGenerator : IGenerator<T> {
        auto get( size_t ) const -> T override {
            Catch::throw_exception(std::logic_error( ( Catch::ReusableStringStream() << ::Catch::SourceLineInfo( "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp", static_cast<std::size_t>( 3296 ) ) << ": Internal Catch error: " << "A Null Generator is always empty" ).str() ));
        }
    };

    template<typename T>
    class Generator {
        std::unique_ptr<IGenerator<T>> m_generator;
        size_t m_size;

    public:
        Generator( size_t size, std::unique_ptr<IGenerator<T>> generator )
        : m_generator( std::move( generator ) ),
            m_size( size )
        {}

        auto size() const -> size_t { return m_size; }
        auto operator[]( size_t index ) const -> T {
            (static_cast <bool> (index < m_size) ? void (0) : __assert_fail ("index < m_size", "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp", 3313, __extension__ __PRETTY_FUNCTION__));
            return m_generator->get( index );
        }
    };

    std::vector<size_t> randomiseIndices( size_t selectionSize, size_t sourceSize );

    template<typename T>
    class GeneratorRandomiser : public IGenerator<T> {
        Generator<T> m_baseGenerator;

        std::vector<size_t> m_indices;
    public:
        GeneratorRandomiser( Generator<T>&& baseGenerator, size_t numberOfItems )
        : m_baseGenerator( std::move( baseGenerator ) ),
            m_indices( randomiseIndices( numberOfItems, m_baseGenerator.size() ) )
        {}

        auto get( size_t index ) const -> T override {
            return m_baseGenerator[m_indices[index]];
        }
    };

    template<typename T>
    struct RequiresASpecialisationFor;

    template<typename T>
    auto all() -> Generator<T> { return RequiresASpecialisationFor<T>(); }

    template<>
    auto all<int>() -> Generator<int>;

    template<typename T>
    auto range( T const& first, T const& last ) -> Generator<T> {
        return Generator<T>( (last-first), pf::make_unique<RangeGenerator<T>>( first, last ) );
    }

    template<typename T>
    auto random( T const& first, T const& last ) -> Generator<T> {
        auto gen = range( first, last );
        auto size = gen.size();

        return Generator<T>( size, pf::make_unique<GeneratorRandomiser<T>>( std::move( gen ), size ) );
    }
    template<typename T>
    auto random( size_t size ) -> Generator<T> {
        return Generator<T>( size, pf::make_unique<GeneratorRandomiser<T>>( all<T>(), size ) );
    }

    template<typename T>
    auto values( std::initializer_list<T> values ) -> Generator<T> {
        return Generator<T>( values.size(), pf::make_unique<FixedValuesGenerator<T>>( values ) );
    }
    template<typename T>
    auto value( T const& val ) -> Generator<T> {
        return Generator<T>( 1, pf::make_unique<SingleValueGenerator<T>>( val ) );
    }

    template<typename T>
    auto as() -> Generator<T> {
        return Generator<T>( 0, pf::make_unique<NullGenerator<T>>() );
    }

    template<typename... Ts>
    auto table( std::initializer_list<std::tuple<Ts...>>&& tuples ) -> Generator<std::tuple<Ts...>> {
        return values<std::tuple<Ts...>>( std::forward<std::initializer_list<std::tuple<Ts...>>>( tuples ) );
    }

    template<typename T>
    struct Generators : GeneratorBase {
        std::vector<Generator<T>> m_generators;

        using type = T;

        Generators() : GeneratorBase( 0 ) {}

        void populate( T&& val ) {
            m_size += 1;
            m_generators.emplace_back( value( std::move( val ) ) );
        }
        template<typename U>
        void populate( U&& val ) {
            populate( T( std::move( val ) ) );
        }
        void populate( Generator<T>&& generator ) {
            m_size += generator.size();
            m_generators.emplace_back( std::move( generator ) );
        }

        template<typename U, typename... Gs>
        void populate( U&& valueOrGenerator, Gs... moreGenerators ) {
            populate( std::forward<U>( valueOrGenerator ) );
            populate( std::forward<Gs>( moreGenerators )... );
        }

        auto operator[]( size_t index ) const -> T {
            size_t sizes = 0;
            for( auto const& gen : m_generators ) {
                auto localIndex = index-sizes;
                sizes += gen.size();
                if( index < sizes )
                    return gen[localIndex];
            }
            Catch::throw_exception(std::logic_error( ( Catch::ReusableStringStream() << ::Catch::SourceLineInfo( "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp", static_cast<std::size_t>( 3416 ) ) << ": Internal Catch error: " << "Index '" << index << "' is out of range (" << sizes << ')' ).str() ));
        }
    };

    template<typename T, typename... Gs>
    auto makeGenerators( Generator<T>&& generator, Gs... moreGenerators ) -> Generators<T> {
        Generators<T> generators;
        generators.m_generators.reserve( 1+sizeof...(Gs) );
        generators.populate( std::move( generator ), std::forward<Gs>( moreGenerators )... );
        return generators;
    }
    template<typename T>
    auto makeGenerators( Generator<T>&& generator ) -> Generators<T> {
        Generators<T> generators;
        generators.populate( std::move( generator ) );
        return generators;
    }
    template<typename T, typename... Gs>
    auto makeGenerators( T&& val, Gs... moreGenerators ) -> Generators<T> {
        return makeGenerators( value( std::forward<T>( val ) ), std::forward<Gs>( moreGenerators )... );
    }
    template<typename T, typename U, typename... Gs>
    auto makeGenerators( U&& val, Gs... moreGenerators ) -> Generators<T> {
        return makeGenerators( value( T( std::forward<U>( val ) ) ), std::forward<Gs>( moreGenerators )... );
    }

    auto acquireGeneratorTracker( SourceLineInfo const& lineInfo ) -> IGeneratorTracker&;

    template<typename L>



    auto generate( SourceLineInfo const& lineInfo, L const& generatorExpression ) -> decltype(std::declval<decltype(generatorExpression())>()[0]) {
        using UnderlyingType = typename decltype(generatorExpression())::type;

        IGeneratorTracker& tracker = acquireGeneratorTracker( lineInfo );
        if( !tracker.hasGenerator() )
            tracker.setGenerator( pf::make_unique<Generators<UnderlyingType>>( generatorExpression() ) );

        auto const& generator = static_cast<Generators<UnderlyingType> const&>( *tracker.getGenerator() );
        return generator[tracker.getIndex()];
    }

}
}
# 3480 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    struct ITestInvoker;

    struct TestCaseInfo {
        enum SpecialProperties{
            None = 0,
            IsHidden = 1 << 1,
            ShouldFail = 1 << 2,
            MayFail = 1 << 3,
            Throws = 1 << 4,
            NonPortable = 1 << 5,
            Benchmark = 1 << 6
        };

        TestCaseInfo( std::string const& _name,
                        std::string const& _className,
                        std::string const& _description,
                        std::vector<std::string> const& _tags,
                        SourceLineInfo const& _lineInfo );

        friend void setTags( TestCaseInfo& testCaseInfo, std::vector<std::string> tags );

        bool isHidden() const;
        bool throws() const;
        bool okToFail() const;
        bool expectedToFail() const;

        std::string tagsAsString() const;

        std::string name;
        std::string className;
        std::string description;
        std::vector<std::string> tags;
        std::vector<std::string> lcaseTags;
        SourceLineInfo lineInfo;
        SpecialProperties properties;
    };

    class TestCase : public TestCaseInfo {
    public:

        TestCase( ITestInvoker* testCase, TestCaseInfo&& info );

        TestCase withName( std::string const& _newName ) const;

        void invoke() const;

        TestCaseInfo const& getTestCaseInfo() const;

        bool operator == ( TestCase const& other ) const;
        bool operator < ( TestCase const& other ) const;

    private:
        std::shared_ptr<ITestInvoker> test;
    };

    TestCase makeTestCase( ITestInvoker* testCase,
                            std::string const& className,
                            NameAndTags const& nameAndTags,
                            SourceLineInfo const& lineInfo );
}
# 3550 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
namespace Catch {

    struct IRunner {
        virtual ~IRunner();
        virtual bool aborting() const = 0;
    };
}
# 14189 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
using Catch::Detail::Approx;
# 14356 "/root/.conan/data/catch2/2.5.0/bincrafters/stable/package/5ab84d6acfe1f23c4fae0ab88f26e3a396351ac9/include/catch2/catch.hpp" 3
#pragma GCC diagnostic pop
# 15 "../../../test/concepts/core/swappable.cpp" 2



# 17 "../../../test/concepts/core/swappable.cpp"
namespace swappable_test {
   static_assert(cjdb::Swappable<int>);
   static_assert(cjdb::SwappableWith<int&, int&>);
   static_assert(cjdb::Swappable<int[4]>);
   static_assert(cjdb::SwappableWith<int(&)[4], int(&)[4]>);
   static_assert(not cjdb::SwappableWith<int, int>);
   static_assert(not cjdb::SwappableWith<int&, double&>);
   static_assert(not cjdb::SwappableWith<int(&)[4], bool(&)[4]>);
   static_assert(not cjdb::Swappable<int[]>);
   static_assert(not cjdb::Swappable<int[][4]>);

   static_assert(noexcept(cjdb::ranges::swap(std::declval<int&>(), std::declval<int&>())));
   static_assert(std::is_nothrow_swappable_with_v<int&, int&>);
   static_assert(std::is_nothrow_swappable_with_v<int(&)[42], int(&)[42]>);

   static_assert(cjdb::Swappable<int[3][4]>);
   static_assert(cjdb::SwappableWith<int(&)[3][4], int(&)[3][4]>);
   static_assert(cjdb::Swappable<int[3][4][1][2]>);
   static_assert(cjdb::SwappableWith<int(&)[3][4][1][2], int(&)[3][4][1][2]>);
   static_assert(not cjdb::SwappableWith<int(&)[3][4][1][2], int(&)[4][4][1][2]>);
   static_assert(std::is_nothrow_swappable_with_v<int(&)[6][7], int(&)[6][7]>);


   struct unswappable : std::string {
      unswappable() = default;
      unswappable(const unswappable&) = delete;
      unswappable(unswappable&&) = delete;
   };
   static_assert(not cjdb::SwappableWith<unswappable&, unswappable&>);

   namespace detail::constrained_swappable {

      struct constrained_swappable {
         constrained_swappable() = default;
         constrained_swappable(const constrained_swappable&) = default;
         constrained_swappable(constrained_swappable&&) = default;
      };
      template <class T>
      concept ConstrainedSwappable =
         cjdb::Same<T, constrained_swappable>;
      template <ConstrainedSwappable T, ConstrainedSwappable U>
      void swap(T&, U&) {}
      template <ConstrainedSwappable T>
      void swap(T &, T &) {}
   }
   using detail::constrained_swappable::constrained_swappable;
   static_assert(cjdb::SwappableWith<constrained_swappable&, constrained_swappable&>);
   static_assert(not cjdb::SwappableWith<const volatile constrained_swappable&, const volatile constrained_swappable&>);

   namespace {
      struct A {
         A() = default;
         A(A&&) = delete;
         A& operator=(A&&) = delete;
         [[maybe_unused]] friend void swap(A&, A&) noexcept {}
      };

      static_assert(cjdb::Swappable<A>);
      static_assert(noexcept(cjdb::ranges::swap(std::declval<A&>(), std::declval<A&>())));
      static_assert(std::is_nothrow_swappable_with_v<A&, A&>);
   }

   namespace {
      struct B {
         [[maybe_unused]] friend void swap(B&, B&) {}
      };

      static_assert(cjdb::Swappable<B>);
      static_assert(not noexcept(cjdb::ranges::swap(std::declval<B&>(), std::declval<B&>())));
      static_assert(not std::is_nothrow_swappable_with_v<B&, B&>);
   }
}



namespace ranges = cjdb::ranges;

template<class T, cjdb::SwappableWith<T> U>
void value_swap(T&& t, U&& u) {
ranges::swap(std::forward<T>(t), std::forward<U>(u));
}

template<cjdb::Swappable T>
void lv_swap(T& t1, T& t2) {
ranges::swap(t1, t2);
}


namespace N {
   struct A { int m; };
   struct Proxy {
      A* a;
      Proxy(A& a) : a{&a} {}
      friend void swap(Proxy&& x, Proxy&& y) {
         ranges::swap(x.a, y.a);
      }
   };
   Proxy proxy(A& a) { return Proxy{ a }; }
   void swap(A& x, Proxy p) {
      ranges::swap(x.m, p.a->m);
   }
   void swap(Proxy p, A& x) { swap(x, p); }
}


# 121 "../../../test/concepts/core/swappable.cpp" 3
static void ____C_A_T_C_H____T_E_S_T____0(); namespace{ Catch::AutoReg autoRegistrar1( Catch::makeTestInvoker( &____C_A_T_C_H____T_E_S_T____0 ), ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 121 ) ), Catch::StringRef(), Catch::NameAndTags{ 
# 121 "../../../test/concepts/core/swappable.cpp"
"Test cjdb::Swappable", "[concepts.swappable]" 
# 121 "../../../test/concepts/core/swappable.cpp" 3
} ); } static void ____C_A_T_C_H____T_E_S_T____0() 
# 121 "../../../test/concepts/core/swappable.cpp"
                                                         {
   {
      int i = 1, j = 2;
      lv_swap(i, j);
      
# 125 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 125 ) ), "i == 2", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 125 "../../../test/concepts/core/swappable.cpp"
     i == 2 
# 125 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 125 "../../../test/concepts/core/swappable.cpp"
     i == 2
# 125 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 125 "../../../test/concepts/core/swappable.cpp"
                  ;
      
# 126 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 126 ) ), "j == 1", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 126 "../../../test/concepts/core/swappable.cpp"
     j == 1 
# 126 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 126 "../../../test/concepts/core/swappable.cpp"
     j == 1
# 126 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 126 "../../../test/concepts/core/swappable.cpp"
                  ;
      N::A a1 = { 5 }, a2 = { -5 };
      value_swap(a1, proxy(a2));
      
# 129 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 129 ) ), "a1.m == -5", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 129 "../../../test/concepts/core/swappable.cpp"
     a1.m == -5 
# 129 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 129 "../../../test/concepts/core/swappable.cpp"
     a1.m == -5
# 129 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 129 "../../../test/concepts/core/swappable.cpp"
                      ;
      
# 130 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 130 ) ), "a2.m == 5", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 130 "../../../test/concepts/core/swappable.cpp"
     a2.m == 5 
# 130 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 130 "../../../test/concepts/core/swappable.cpp"
     a2.m == 5
# 130 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 130 "../../../test/concepts/core/swappable.cpp"
                     ;
   }
   {
      int a[2][2] = {{0, 1}, {2, 3}};
      int b[2][2] = {{4, 5}, {6, 7}};

      static_assert(cjdb::SwappableWith<decltype((a)),decltype((b))>);
      cjdb::ranges::swap(a, b);
      static_assert(noexcept(cjdb::ranges::swap(a, b)));

      
# 140 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 140 ) ), "a[0][0] == 4", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 140 "../../../test/concepts/core/swappable.cpp"
     a[0][0] == 4 
# 140 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 140 "../../../test/concepts/core/swappable.cpp"
     a[0][0] == 4
# 140 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 140 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 141 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 141 ) ), "a[0][1] == 5", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 141 "../../../test/concepts/core/swappable.cpp"
     a[0][1] == 5 
# 141 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 141 "../../../test/concepts/core/swappable.cpp"
     a[0][1] == 5
# 141 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 141 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 142 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 142 ) ), "a[1][0] == 6", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 142 "../../../test/concepts/core/swappable.cpp"
     a[1][0] == 6 
# 142 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 142 "../../../test/concepts/core/swappable.cpp"
     a[1][0] == 6
# 142 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 142 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 143 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 143 ) ), "a[1][1] == 7", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 143 "../../../test/concepts/core/swappable.cpp"
     a[1][1] == 7 
# 143 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 143 "../../../test/concepts/core/swappable.cpp"
     a[1][1] == 7
# 143 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 143 "../../../test/concepts/core/swappable.cpp"
                        ;

      
# 145 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 145 ) ), "b[0][0] == 0", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 145 "../../../test/concepts/core/swappable.cpp"
     b[0][0] == 0 
# 145 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 145 "../../../test/concepts/core/swappable.cpp"
     b[0][0] == 0
# 145 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 145 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 146 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 146 ) ), "b[0][1] == 1", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 146 "../../../test/concepts/core/swappable.cpp"
     b[0][1] == 1 
# 146 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 146 "../../../test/concepts/core/swappable.cpp"
     b[0][1] == 1
# 146 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 146 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 147 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 147 ) ), "b[1][0] == 2", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 147 "../../../test/concepts/core/swappable.cpp"
     b[1][0] == 2 
# 147 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 147 "../../../test/concepts/core/swappable.cpp"
     b[1][0] == 2
# 147 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 147 "../../../test/concepts/core/swappable.cpp"
                        ;
      
# 148 "../../../test/concepts/core/swappable.cpp" 3
     do { Catch::AssertionHandler catchAssertionHandler( "CHECK"_catch_sr, ::Catch::SourceLineInfo( "../../../test/concepts/core/swappable.cpp", static_cast<std::size_t>( 148 ) ), "b[1][1] == 3", Catch::ResultDisposition::ContinueOnFailure ); try { catchAssertionHandler.handleExpr( Catch::Decomposer() <= 
# 148 "../../../test/concepts/core/swappable.cpp"
     b[1][1] == 3 
# 148 "../../../test/concepts/core/swappable.cpp" 3
     ); } catch(...) { catchAssertionHandler.handleUnexpectedInflightException(); } catchAssertionHandler.complete(); } while( (void)0, false && static_cast<bool>( !!(
# 148 "../../../test/concepts/core/swappable.cpp"
     b[1][1] == 3
# 148 "../../../test/concepts/core/swappable.cpp" 3
     ) ) )
# 148 "../../../test/concepts/core/swappable.cpp"
                        ;
   }
}