# 1 "test.cpp"
# 1 "<built-in>" 1
# 1 "<built-in>" 3
# 354 "<built-in>" 3
# 1 "<command line>" 1
# 1 "<built-in>" 2
# 1 "test.cpp" 2
# 15 "test.cpp"
# 1 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/assert.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/constant.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/fwd/concept/constant.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/config.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/config.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/version.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/config.hpp" 2
# 87 "/us/include/boost_1_64_0/boost/hana/config.hpp"
# 1 "/usr/include/c++/5.2.0/cstddef" 1
# 43 "/usr/include/c++/5.2.0/cstddef" 3

# 1 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/c++config.h" 1 3
# 184 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}
# 426 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/c++config.h" 3
# 1 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/os_defines.h" 1 3
# 39 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/os_defines.h" 3
# 1 "/usr/include/features.h" 1 3 4
# 352 "/usr/include/features.h" 3 4
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 353 "/usr/include/features.h" 2 3 4
# 374 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
# 385 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 386 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 375 "/usr/include/features.h" 2 3 4
# 398 "/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
# 399 "/usr/include/features.h" 2 3 4
# 40 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/os_defines.h" 2 3
# 427 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/c++config.h" 2 3


# 1 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/cpu_defines.h" 1 3
# 430 "/usr/lib/gcc/x86_64-linux-gnu/4.8/../../../../include/x86_64-linux-gnu/c++/4.8/bits/c++config.h" 2 3
# 45 "/usr/include/c++/5.2.0/cstddef" 2 3
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3
# 51 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 3
typedef long int ptrdiff_t;
# 62 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 3
typedef long unsigned int size_t;
# 118 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 3
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/__stddef_max_align_t.h" 1 3
# 35 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/__stddef_max_align_t.h" 3
typedef struct {
  long long __clang_max_align_nonce1
      __attribute__((__aligned__(__alignof__(long long))));
  long double __clang_max_align_nonce2
      __attribute__((__aligned__(__alignof__(long double))));
} max_align_t;
# 119 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 2 3
# 46 "/usr/include/c++/5.2.0/cstddef" 2 3


namespace std
{

  using ::max_align_t;
}
# 87 "/us/include/boost_1_64_0/boost/hana/config.hpp" 2
# 13 "/us/include/boost_1_64_0/boost/hana/fwd/concept/constant.hpp" 2



namespace boost { namespace hana {
# 206 "/us/include/boost_1_64_0/boost/hana/fwd/concept/constant.hpp"
    template <typename C>
    struct Constant;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/core/default.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/core/default.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/default.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/default.hpp"
namespace boost { namespace hana {
# 30 "/us/include/boost_1_64_0/boost/hana/fwd/core/default.hpp"
    struct default_ { };
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/core/default.hpp"
    template <typename T, typename = void>
    struct is_default;

}}
# 13 "/us/include/boost_1_64_0/boost/hana/core/default.hpp" 2




# 1 "/usr/include/c++/5.2.0/type_traits" 1
# 33 "/usr/include/c++/5.2.0/type_traits" 3
# 42 "/usr/include/c++/5.2.0/type_traits" 3
namespace std
{
  typedef unsigned short uint_least16_t;
  typedef unsigned int uint_least32_t;
}





namespace std __attribute__ ((__visibility__ ("default")))
{
# 68 "/usr/include/c++/5.2.0/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 { return value; }




      constexpr value_type operator()() const { 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, typename, typename>
    struct conditional;

  template<typename...>
    struct __or_;

  template<>
    struct __or_<>
    : public false_type
    { };

  template<typename _B1>
    struct __or_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __or_<_B1, _B2>
    : public conditional<_B1::value, _B1, _B2>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __or_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
    { };

  template<typename...>
    struct __and_;

  template<>
    struct __and_<>
    : public true_type
    { };

  template<typename _B1>
    struct __and_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __and_<_B1, _B2>
    : public conditional<_B1::value, _B2, _B1>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __and_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
    { };

  template<typename _Pp>
    struct __not_
    : public integral_constant<bool, !_Pp::value>
    { };






  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 { };
# 288 "/usr/include/c++/5.2.0/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 { };
# 316 "/usr/include/c++/5.2.0/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 integral_constant<bool, !is_function<_Tp>::value> { };


  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 integral_constant<bool, is_function<_Tp>::value> { };


  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>
    struct is_function<_Res(_ArgTypes...)>
    : public true_type { };

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



  template<typename>
    struct __is_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 integral_constant<bool, !is_fundamental<_Tp>::value> { };

  template<typename _Tp>
    struct __is_member_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_pointer_helper<_Tp _Cp::*>
    : public true_type { };


  template<typename _Tp>
    struct is_member_pointer
    : public __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>
    struct __is_referenceable<_Res(_Args...)>
    : public true_type
    { };

  template<typename _Res, typename... _Args>
    struct __is_referenceable<_Res(_Args......)>
    : 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>>>::type
    { };




  template<typename>
    struct add_rvalue_reference;





  template<typename _Tp>
    typename add_rvalue_reference<_Tp>::type declval() noexcept;

  template<typename, unsigned = 0>
    struct extent;

  template<typename>
    struct remove_all_extents;

  template<typename _Tp>
    struct __is_array_known_bounds
    : public integral_constant<bool, (extent<_Tp>::value > 0)>
    { };

  template<typename _Tp>
    struct __is_array_unknown_bounds
    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>::type
    { };






  struct __do_is_destructible_impl
  {
    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 integral_constant<bool, 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>>::type
    { };

  template<typename _Tp, bool = is_array<_Tp>::value>
    struct __is_default_constructible_safe;






  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, true>
    : public __and_<__is_array_known_bounds<_Tp>,
      __is_default_constructible_atom<typename
                      remove_all_extents<_Tp>::type>>::type
    { };

  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, false>
    : public __is_default_constructible_atom<_Tp>::type
    { };


  template<typename _Tp>
    struct is_default_constructible
    : public __is_default_constructible_safe<_Tp>::type
    { };
# 900 "/usr/include/c++/5.2.0/type_traits" 3
  struct __do_is_static_castable_impl
  {
    template<typename _From, typename _To, typename
             = decltype(static_cast<_To>(declval<_From>()))>
      static true_type __test(int);

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

  template<typename _From, typename _To>
    struct __is_static_castable_impl
    : public __do_is_static_castable_impl
    {
      typedef decltype(__test<_From, _To>(0)) type;
    };

  template<typename _From, typename _To>
    struct __is_static_castable_safe
    : public __is_static_castable_impl<_From, _To>::type
    { };


  template<typename _From, typename _To>
    struct __is_static_castable
    : public integral_constant<bool, (__is_static_castable_safe<
          _From, _To>::value)>
    { };






  struct __do_is_direct_constructible_impl
  {
    template<typename _Tp, typename _Arg, typename
      = decltype(::new _Tp(declval<_Arg>()))>
      static true_type __test(int);

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

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_impl
    : public __do_is_direct_constructible_impl
    {
      typedef decltype(__test<_Tp, _Arg>(0)) type;
    };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new_safe
    : public __and_<is_destructible<_Tp>,
                    __is_direct_constructible_impl<_Tp, _Arg>>::type
    { };

  template<typename, typename>
    struct is_same;

  template<typename, typename>
    struct is_base_of;

  template<typename>
    struct remove_reference;

  template<typename _From, typename _To, bool
           = __not_<__or_<is_void<_From>,
                          is_function<_From>>>::value>
    struct __is_base_to_derived_ref;



  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<_From
        >::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<_To
        >::type>::type __dst_t;
      typedef __and_<__not_<is_same<__src_t, __dst_t>>,
       is_base_of<__src_t, __dst_t>> type;
      static constexpr bool value = type::value;
    };

  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, false>
    : public false_type
    { };

  template<typename _From, typename _To, bool
           = __and_<is_lvalue_reference<_From>,
                    is_rvalue_reference<_To>>::value>
    struct __is_lvalue_to_rvalue_ref;



  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<
        _From>::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<
        _To>::type>::type __dst_t;
      typedef __and_<__not_<is_function<__src_t>>,
        __or_<is_same<__src_t, __dst_t>,
      is_base_of<__dst_t, __src_t>>> type;
      static constexpr bool value = type::value;
    };

  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, false>
    : public false_type
    { };







  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_ref_cast
    : public __and_<__is_static_castable<_Arg, _Tp>,
                    __not_<__or_<__is_base_to_derived_ref<_Arg, _Tp>,
                                 __is_lvalue_to_rvalue_ref<_Arg, _Tp>
                   >>>::type
    { };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new
    : public conditional<is_reference<_Tp>::value,
    __is_direct_constructible_ref_cast<_Tp, _Arg>,
    __is_direct_constructible_new_safe<_Tp, _Arg>
    >::type
    { };

  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible
    : public __is_direct_constructible_new<_Tp, _Arg>::type
    { };






  struct __do_is_nary_constructible_impl
  {
    template<typename _Tp, typename... _Args, typename
             = decltype(_Tp(declval<_Args>()...))>
      static true_type __test(int);

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

  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible_impl
    : public __do_is_nary_constructible_impl
    {
      typedef decltype(__test<_Tp, _Args...>(0)) type;
    };

  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible
    : public __is_nary_constructible_impl<_Tp, _Args...>::type
    {
      static_assert(sizeof...(_Args) > 1,
                    "Only useful for > 1 arguments");
    };

  template<typename _Tp, typename... _Args>
    struct __is_constructible_impl
    : public __is_nary_constructible<_Tp, _Args...>
    { };

  template<typename _Tp, typename _Arg>
    struct __is_constructible_impl<_Tp, _Arg>
    : public __is_direct_constructible<_Tp, _Arg>
    { };

  template<typename _Tp>
    struct __is_constructible_impl<_Tp>
    : public is_default_constructible<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_constructible
    : public __is_constructible_impl<_Tp, _Args...>::type
    { };

  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>>::type
    { };

  template<typename _Tp>
    struct __is_nt_default_constructible_impl<_Tp, false>
    : public __is_nt_default_constructible_atom<_Tp>
    { };


  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __and_<is_default_constructible<_Tp>,
                    __is_nt_default_constructible_impl<_Tp>>::type
    { };

  template<typename _Tp, typename... _Args>
    struct __is_nt_constructible_impl
    : public integral_constant<bool, noexcept(_Tp(declval<_Args>()...))>
    { };

  template<typename _Tp, typename _Arg>
    struct __is_nt_constructible_impl<_Tp, _Arg>
    : public integral_constant<bool,
                               noexcept(static_cast<_Tp>(declval<_Arg>()))>
    { };

  template<typename _Tp>
    struct __is_nt_constructible_impl<_Tp>
    : public is_nothrow_default_constructible<_Tp>
    { };


  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __and_<is_constructible<_Tp, _Args...>,
      __is_nt_constructible_impl<_Tp, _Args...>>::type
    { };

  template<typename _Tp, bool = __is_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>
    class __is_assignable_helper
    {
      template<typename _Tp1, typename _Up1,
        typename = decltype(declval<_Tp1>() = declval<_Up1>())>
 static true_type
 __test(int);

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

    public:
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp, typename _Up>
    struct is_assignable
      : public __is_assignable_helper<_Tp, _Up>::type
    { };

  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>>::type
    { };

  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 __and_<is_constructible<_Tp, _Args...>, integral_constant<bool,
   __is_trivially_constructible(_Tp, _Args...)>>::type
    { };


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


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


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


  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __and_<is_assignable<_Tp, _Up>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp, _Up)>>::type
    { };


  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __and_<is_copy_assignable<_Tp>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp&, const _Tp&)>>::type
    { };


  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __and_<is_move_assignable<_Tp>,
      integral_constant<bool,
   __is_trivially_assignable(_Tp&, _Tp&&)>>::type
    { };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<is_destructible<_Tp>, integral_constant<bool,
         __has_trivial_destructor(_Tp)>>::type
    { };


  template<typename _Tp>
    struct has_trivial_default_constructor
    : public integral_constant<bool, __has_trivial_constructor(_Tp)>
    { } __attribute__ ((__deprecated__));


  template<typename _Tp>
    struct has_trivial_copy_constructor
    : public integral_constant<bool, __has_trivial_copy(_Tp)>
    { } __attribute__ ((__deprecated__));


  template<typename _Tp>
    struct has_trivial_copy_assign
    : public integral_constant<bool, __has_trivial_assign(_Tp)>
    { } __attribute__ ((__deprecated__));


  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; };

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

      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(...);

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



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





  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; };


  template<>
    struct __make_unsigned<wchar_t> : __make_unsigned<int>
    { };
# 1718 "/usr/include/c++/5.2.0/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>
    {
      typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt;
      typedef typename __unsignedt::__type __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

    public:
      typedef typename __cv_unsigned::__type __type;
    };

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

      typedef unsigned char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int);
      typedef conditional<__b2, unsigned int, unsigned long> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, unsigned short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;

    public:
      typedef typename conditional<__b0, __smallest, __cond1_type>::type __type;
    };





  template<typename _Tp>
    struct make_unsigned
    { typedef typename __make_unsigned_selector<_Tp>::__type type; };


  template<>
    struct make_unsigned<bool>;



  template<typename _Tp>
    struct __make_signed
    { typedef _Tp __type; };

  template<>
    struct __make_signed<char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned short>
    { typedef signed short __type; };

  template<>
    struct __make_signed<unsigned int>
    { typedef signed int __type; };

  template<>
    struct __make_signed<unsigned long>
    { typedef signed long __type; };

  template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };
# 1800 "/usr/include/c++/5.2.0/type_traits" 3
  template<>
    struct __make_signed<char16_t> : __make_signed<uint_least16_t>
    { };
  template<>
    struct __make_signed<char32_t> : __make_signed<uint_least32_t>
    { };
# 1830 "/usr/include/c++/5.2.0/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>
    {
      typedef __make_signed<typename remove_cv<_Tp>::type> __signedt;
      typedef typename __signedt::__type __signed_type;
      typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed;

    public:
      typedef typename __cv_signed::__type __type;
    };

  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {

      typedef signed char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(signed short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(signed int);
      typedef conditional<__b2, signed int, signed long> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, signed short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;

    public:
      typedef typename conditional<__b0, __smallest, __cond1_type>::type __type;
    };





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


  template<>
    struct make_signed<bool>;



  template<typename _Tp>
    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;
      };
    };
# 1984 "/usr/include/c++/5.2.0/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;
    };
# 2023 "/usr/include/c++/5.2.0/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;
      static typename add_rvalue_reference<_Tp>::type __delegate();
    };

  template<typename _Tp>
    inline typename add_rvalue_reference<_Tp>::type
    declval() noexcept
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval_protector<_Tp>::__delegate();
    }


  template<typename _Signature>
    class result_of;






  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __success_type<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      )> _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 __success_type<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      )> _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 __success_type<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      )> _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 __success_type<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      )> _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 typename remove_cv<typename remove_reference<
        _Arg>::type>::type _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 typename remove_cv<typename remove_reference<
        _Arg>::type>::type _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<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, _Arg>
    { };

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


  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __success_type<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      )> _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 result_of<_Functor(_ArgTypes...)>
    : 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<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<typename...> using __void_t = void;
# 2426 "/usr/include/c++/5.2.0/type_traits" 3
}
# 17 "/us/include/boost_1_64_0/boost/hana/core/default.hpp" 2



namespace boost { namespace hana {
    template <typename Method, typename>
    struct is_default : std::false_type { };

    template <typename Method>
    struct is_default<Method, decltype((void)
        static_cast<default_>(*(Method*)0)
    )>
        : std::true_type
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/core/tag_of.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/core/tag_of.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/tag_of.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/tag_of.hpp"
namespace boost { namespace hana {
# 105 "/us/include/boost_1_64_0/boost/hana/fwd/core/tag_of.hpp"
    template <typename T, typename = void>
    struct tag_of;
# 116 "/us/include/boost_1_64_0/boost/hana/fwd/core/tag_of.hpp"
    template <typename T>
    using tag_of_t = typename hana::tag_of<T>::type;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/core/tag_of.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/core/when.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/core/when.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/when.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/when.hpp"
namespace boost { namespace hana {
# 38 "/us/include/boost_1_64_0/boost/hana/fwd/core/when.hpp"
    template <bool condition>
    struct when;

    namespace core_detail {
        template <typename ...>
        struct always_true { static constexpr bool value = true; };
    }
# 67 "/us/include/boost_1_64_0/boost/hana/fwd/core/when.hpp"
    template <typename ...Dummy>
    using when_valid = when<
        core_detail::always_true<Dummy...>::value
    >;

}}
# 13 "/us/include/boost_1_64_0/boost/hana/core/when.hpp" 2
# 16 "/us/include/boost_1_64_0/boost/hana/core/tag_of.hpp" 2



namespace boost { namespace hana {

    template <typename T, typename>
    struct tag_of : tag_of<T, when<true>> { };


    namespace core_detail {
        template <typename ...>
        struct is_valid { static constexpr bool value = true; };
    }

    template <typename T, bool condition>
    struct tag_of<T, when<condition>> {
        using type = T;
    };

    template <typename T>
    struct tag_of<T, when<
        core_detail::is_valid<typename T::hana_tag>::value
    >> {
        using type = typename T::hana_tag;
    };

    template <typename T> struct tag_of<T const> : tag_of<T> { };
    template <typename T> struct tag_of<T volatile> : tag_of<T> { };
    template <typename T> struct tag_of<T const volatile> : tag_of<T> { };
    template <typename T> struct tag_of<T&> : tag_of<T> { };
    template <typename T> struct tag_of<T&&> : tag_of<T> { };
}}
# 17 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/integral_constant.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/integral_constant.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/adl.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/operators/adl.hpp"
namespace boost { namespace hana { namespace detail { namespace operators {
# 30 "/us/include/boost_1_64_0/boost/hana/detail/operators/adl.hpp"
    template <typename ...>
    struct adl { };
}} }}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/integral_constant.hpp" 2





namespace boost { namespace hana {


    template <typename T>
    struct integral_constant_tag {
        using value_type = T;
    };

    namespace ic_detail {
        template <typename T, T v>
        struct with_index_t {
            template <typename F>
            constexpr void operator()(F&& f) const;
        };

        template <typename T, T v>
        struct times_t {
            static constexpr with_index_t<T, v> with_index{};

            template <typename F>
            constexpr void operator()(F&& f) const;
        };
    }
# 233 "/us/include/boost_1_64_0/boost/hana/detail/integral_constant.hpp"
    template <typename T, T v>
    struct integral_constant
        : std::integral_constant<T, v>
        , detail::operators::adl<integral_constant<T, v>>
    {
        using type = integral_constant;
        static constexpr ic_detail::times_t<T, v> times{};
        using hana_tag = integral_constant_tag<T>;
    };

}}
# 18 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/value.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/value.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/value.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/value.hpp"
namespace boost { namespace hana {
# 58 "/us/include/boost_1_64_0/boost/hana/fwd/value.hpp"
    template <typename C, typename = void>
    struct value_impl : value_impl<C, when<true>> { };

    template <typename T>
    constexpr decltype(auto) value();

    template <typename T>
    constexpr decltype(auto) value(T const&)
    { return hana::value<T>(); }
# 90 "/us/include/boost_1_64_0/boost/hana/fwd/value.hpp"
    struct value_of_t {
        template <typename T>
        constexpr decltype(auto) operator()(T const&) const
        { return hana::value<T>(); }
    };

    constexpr value_of_t value_of{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/value.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/value.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/concept/integral_constant.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/integral_constant.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/integral_constant.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/integral_constant.hpp"
namespace boost { namespace hana {
# 69 "/us/include/boost_1_64_0/boost/hana/fwd/concept/integral_constant.hpp"
    template <typename C>
    struct IntegralConstant;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/integral_constant.hpp" 2







namespace boost { namespace hana {
    namespace detail {
        template <typename C, typename Tag = typename tag_of<C>::type>
        struct integral_constant_dispatch
            : hana::integral_constant<bool,
                hana::IntegralConstant<Tag>::value
            >
        { };

        template <typename C>
        struct integral_constant_dispatch<C, C>
            : hana::integral_constant<bool, false>
        { };
    }


    template <typename C>
    struct IntegralConstant
        : detail::integral_constant_dispatch<C>
    { };

}}
# 16 "/us/include/boost_1_64_0/boost/hana/value.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/core/dispatch.hpp" 1
# 14 "/us/include/boost_1_64_0/boost/hana/core/dispatch.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/dispatch_if.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/detail/dispatch_if.hpp"
namespace boost { namespace hana {
    struct deleted_implementation {
        template <typename ...T>
        static constexpr auto apply(T&& ...) = delete;
    };
# 54 "/us/include/boost_1_64_0/boost/hana/detail/dispatch_if.hpp"
}}
# 14 "/us/include/boost_1_64_0/boost/hana/core/dispatch.hpp" 2
# 18 "/us/include/boost_1_64_0/boost/hana/value.hpp" 2





namespace boost { namespace hana {
    template <typename C, bool condition>
    struct value_impl<C, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...args) = delete;
    };

    template <typename T>
    constexpr decltype(auto) value() {
        using RawT = typename std::remove_cv<
            typename std::remove_reference<T>::type
        >::type;
        using C = typename hana::tag_of<RawT>::type;
        using Value = ::std::conditional_t< (hana::Constant<C>::value), value_impl<C>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Constant<C>::value,
        "hana::value<T>() requires 'T' to be a Constant");


        return Value::template apply<RawT>();
    }

    template <typename I>
    struct value_impl<I, when<hana::IntegralConstant<I>::value>> {
        template <typename C>
        static constexpr auto apply()
        { return C::value; }
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/concept/constant.hpp" 2



namespace boost { namespace hana {
    template <typename C>
    struct Constant
        : hana::integral_constant<bool,
            !is_default<value_impl<typename tag_of<C>::type>>::value
        >
    { };
}}
# 13 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/detail/preprocessor.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/if.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/if.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/if.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/if.hpp"
namespace boost { namespace hana {
# 45 "/us/include/boost_1_64_0/boost/hana/fwd/if.hpp"
    template <typename L, typename = void>
    struct if_impl : if_impl<L, when<true>> { };

    struct if_t {
        template <typename Cond, typename Then, typename Else>
        constexpr decltype(auto) operator()(Cond&& cond, Then&& then, Else&& else_) const;
    };

    constexpr if_t if_{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/if.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/logical.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/logical.hpp"
namespace boost { namespace hana {
# 162 "/us/include/boost_1_64_0/boost/hana/fwd/concept/logical.hpp"
    template <typename L>
    struct Logical;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/eval_if.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/eval_if.hpp"
namespace boost { namespace hana {
# 143 "/us/include/boost_1_64_0/boost/hana/fwd/eval_if.hpp"
    template <typename L, typename = void>
    struct eval_if_impl : eval_if_impl<L, when<true>> { };

    struct eval_if_t {
        template <typename Cond, typename Then, typename Else>
        constexpr decltype(auto) operator()(Cond&& cond, Then&& then, Else&& else_) const;
    };

    constexpr eval_if_t eval_if{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/bool.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/bool.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/fwd/bool.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/integral_constant.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/fwd/integral_constant.hpp"
namespace boost { namespace hana {
# 38 "/us/include/boost_1_64_0/boost/hana/fwd/integral_constant.hpp"
    template <typename T, T v>
    constexpr integral_constant<T, v> integral_c{};



    template <bool b>
    using bool_ = integral_constant<bool, b>;


    template <bool b>
    constexpr bool_<b> bool_c{};


    using true_ = bool_<true>;


    constexpr auto true_c = bool_c<true>;


    using false_ = bool_<false>;


    constexpr auto false_c = bool_c<false>;



    template <char c>
    using char_ = integral_constant<char, c>;


    template <char c>
    constexpr char_<c> char_c{};



    template <short i>
    using short_ = integral_constant<short, i>;


    template <short i>
    constexpr short_<i> short_c{};



    template <unsigned short i>
    using ushort_ = integral_constant<unsigned short, i>;


    template <unsigned short i>
    constexpr ushort_<i> ushort_c{};



    template <int i>
    using int_ = integral_constant<int, i>;


    template <int i>
    constexpr int_<i> int_c{};



    template <unsigned int i>
    using uint = integral_constant<unsigned int, i>;


    template <unsigned int i>
    constexpr uint<i> uint_c{};



    template <long i>
    using long_ = integral_constant<long, i>;


    template <long i>
    constexpr long_<i> long_c{};



    template <unsigned long i>
    using ulong = integral_constant<unsigned long, i>;


    template <unsigned long i>
    constexpr ulong<i> ulong_c{};



    template <long long i>
    using llong = integral_constant<long long, i>;


    template <long long i>
    constexpr llong<i> llong_c{};



    template <unsigned long long i>
    using ullong = integral_constant<unsigned long long, i>;


    template <unsigned long long i>
    constexpr ullong<i> ullong_c{};



    template <std::size_t i>
    using size_t = integral_constant<std::size_t, i>;


    template <std::size_t i>
    constexpr size_t<i> size_c{};


    namespace literals {
# 170 "/us/include/boost_1_64_0/boost/hana/fwd/integral_constant.hpp"
        template <char ...c>
        constexpr auto operator"" _c();
    }
}}
# 13 "/us/include/boost_1_64_0/boost/hana/fwd/bool.hpp" 2
# 13 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/core/to.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp"
namespace boost { namespace hana {
# 101 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp"
    template <typename To, typename From, typename = void>
    struct to_impl;

    template <typename To>
    struct to_t {
        template <typename X>
        constexpr decltype(auto) operator()(X&& x) const;
    };

    template <typename To>
    constexpr to_t<To> to{};
# 129 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp"
    template <typename From, typename To, typename = void>
    struct is_convertible;
# 151 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp"
    template <bool = true>
    struct embedding { };
# 169 "/us/include/boost_1_64_0/boost/hana/fwd/core/to.hpp"
    template <typename From, typename To, typename = void>
    struct is_embedded;

}}
# 13 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/foldable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/foldable.hpp"
namespace boost { namespace hana {
# 137 "/us/include/boost_1_64_0/boost/hana/fwd/concept/foldable.hpp"
    template <typename T>
    struct Foldable;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/fold_left.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/fold_left.hpp"
namespace boost { namespace hana {
# 73 "/us/include/boost_1_64_0/boost/hana/fwd/fold_left.hpp"
    template <typename T, typename = void>
    struct fold_left_impl : fold_left_impl<T, when<true>> { };

    struct fold_left_t {
        template <typename Xs, typename State, typename F>
        constexpr decltype(auto) operator()(Xs&& xs, State&& state, F&& f) const;

        template <typename Xs, typename F>
        constexpr decltype(auto) operator()(Xs&& xs, F&& f) const;
    };

    constexpr fold_left_t fold_left{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/detail/variadic/foldl1.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/detail/variadic/foldl1.hpp"
namespace boost { namespace hana { namespace detail { namespace variadic {
    template <unsigned int n, typename = when<true>>
    struct foldl1_impl;

    template <>
    struct foldl1_impl<1> {
        template <typename F, typename X1>
        static constexpr X1 apply(F&&, X1&& x1)
        { return static_cast<X1&&>(x1); }
    };

    template <>
    struct foldl1_impl<2> {
        template <typename F, typename X1, typename X2>
        static constexpr decltype(auto) apply(F&& f, X1&& x1, X2&& x2) {
            return static_cast<F&&>(f)(static_cast<X1&&>(x1),
                                       static_cast<X2&&>(x2));
        }
    };

    template <>
    struct foldl1_impl<3> {
        template <typename F, typename X1, typename X2, typename X3>
        static constexpr decltype(auto) apply(F&& f, X1&& x1, X2&& x2, X3&& x3) {
            return f(f(static_cast<X1&&>(x1),
                       static_cast<X2&&>(x2)),
                       static_cast<X3&&>(x3));
        }
    };

    template <>
    struct foldl1_impl<4> {
        template <typename F, typename X1, typename X2, typename X3, typename X4>
        static constexpr decltype(auto) apply(F&& f, X1&& x1, X2&& x2, X3&& x3, X4&& x4) {
            return f(f(f(static_cast<X1&&>(x1),
                         static_cast<X2&&>(x2)),
                         static_cast<X3&&>(x3)),
                         static_cast<X4&&>(x4));
        }
    };

    template <>
    struct foldl1_impl<5> {
        template <typename F, typename X1, typename X2, typename X3, typename X4, typename X5>
        static constexpr decltype(auto) apply(F&& f, X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5) {
            return f(f(f(f(static_cast<X1&&>(x1),
                           static_cast<X2&&>(x2)),
                           static_cast<X3&&>(x3)),
                           static_cast<X4&&>(x4)),
                           static_cast<X5&&>(x5));
        }
    };

    template <>
    struct foldl1_impl<6> {
        template <typename F, typename X1, typename X2, typename X3, typename X4, typename X5, typename X6>
        static constexpr decltype(auto) apply(F&& f, X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5, X6&& x6) {
            return f(f(f(f(f(static_cast<X1&&>(x1),
                             static_cast<X2&&>(x2)),
                             static_cast<X3&&>(x3)),
                             static_cast<X4&&>(x4)),
                             static_cast<X5&&>(x5)),
                             static_cast<X6&&>(x6));
        }
    };

    template <unsigned int n>
    struct foldl1_impl<n, when<(n >= 7) && (n < 14)>> {
        template <typename F, typename X1, typename X2, typename X3, typename X4, typename X5, typename X6, typename X7, typename ...Xn>
        static constexpr decltype(auto)
        apply(F&& f
              , X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5, X6&& x6, X7&& x7
              , Xn&& ...xn)
        {
            return foldl1_impl<sizeof...(xn) + 1>::apply(
                f,
                f(f(f(f(f(f(static_cast<X1&&>(x1),
                            static_cast<X2&&>(x2)),
                            static_cast<X3&&>(x3)),
                            static_cast<X4&&>(x4)),
                            static_cast<X5&&>(x5)),
                            static_cast<X6&&>(x6)),
                            static_cast<X7&&>(x7)),
                static_cast<Xn&&>(xn)...
            );
        }
    };

    template <unsigned int n>
    struct foldl1_impl<n, when<(n >= 14) && (n < 28)>> {
        template <
              typename F
            , typename X1, typename X2, typename X3, typename X4, typename X5, typename X6, typename X7
            , typename X8, typename X9, typename X10, typename X11, typename X12, typename X13, typename X14
            , typename ...Xn
        >
        static constexpr decltype(auto)
        apply(F&& f
              , X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5, X6&& x6, X7&& x7
              , X8&& x8, X9&& x9, X10&& x10, X11&& x11, X12&& x12, X13&& x13, X14&& x14
              , Xn&& ...xn)
        {
            return foldl1_impl<sizeof...(xn) + 1>::apply(
                f,
                f(f(f(f(f(f(f(f(f(f(f(f(f(
                    static_cast<X1&&>(x1), static_cast<X2&&>(x2)), static_cast<X3&&>(x3)), static_cast<X4&&>(x4)), static_cast<X5&&>(x5)), static_cast<X6&&>(x6)), static_cast<X7&&>(x7)),
                    static_cast<X8&&>(x8)), static_cast<X9&&>(x9)), static_cast<X10&&>(x10)), static_cast<X11&&>(x11)), static_cast<X12&&>(x12)), static_cast<X13&&>(x13)), static_cast<X14&&>(x14))
                , static_cast<Xn&&>(xn)...);

        }
    };

    template <unsigned int n>
    struct foldl1_impl<n, when<(n >= 28) && (n < 56)>> {
        template <
              typename F
            , typename X1, typename X2, typename X3, typename X4, typename X5, typename X6, typename X7
            , typename X8, typename X9, typename X10, typename X11, typename X12, typename X13, typename X14
            , typename X15, typename X16, typename X17, typename X18, typename X19, typename X20, typename X21
            , typename X22, typename X23, typename X24, typename X25, typename X26, typename X27, typename X28
            , typename ...Xn
        >
        static constexpr decltype(auto)
        apply(F&& f
              , X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5, X6&& x6, X7&& x7
              , X8&& x8, X9&& x9, X10&& x10, X11&& x11, X12&& x12, X13&& x13, X14&& x14
              , X15&& x15, X16&& x16, X17&& x17, X18&& x18, X19&& x19, X20&& x20, X21&& x21
              , X22&& x22, X23&& x23, X24&& x24, X25&& x25, X26&& x26, X27&& x27, X28&& x28
              , Xn&& ...xn)
        {
            return foldl1_impl<sizeof...(xn) + 1>::apply(
                f,
                f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(
                    static_cast<X1&&>(x1), static_cast<X2&&>(x2)), static_cast<X3&&>(x3)), static_cast<X4&&>(x4)), static_cast<X5&&>(x5)), static_cast<X6&&>(x6)), static_cast<X7&&>(x7)),
                    static_cast<X8&&>(x8)), static_cast<X9&&>(x9)), static_cast<X10&&>(x10)), static_cast<X11&&>(x11)), static_cast<X12&&>(x12)), static_cast<X13&&>(x13)), static_cast<X14&&>(x14)),
                    static_cast<X15&&>(x15)), static_cast<X16&&>(x16)), static_cast<X17&&>(x17)), static_cast<X18&&>(x18)), static_cast<X19&&>(x19)), static_cast<X20&&>(x20)), static_cast<X21&&>(x21)),
                    static_cast<X22&&>(x22)), static_cast<X23&&>(x23)), static_cast<X24&&>(x24)), static_cast<X25&&>(x25)), static_cast<X26&&>(x26)), static_cast<X27&&>(x27)), static_cast<X28&&>(x28))
                , static_cast<Xn&&>(xn)...);
        }
    };

    template <unsigned int n>
    struct foldl1_impl<n, when<(n >= 56)>> {
        template <
              typename F
            , typename X1, typename X2, typename X3, typename X4, typename X5, typename X6, typename X7
            , typename X8, typename X9, typename X10, typename X11, typename X12, typename X13, typename X14
            , typename X15, typename X16, typename X17, typename X18, typename X19, typename X20, typename X21
            , typename X22, typename X23, typename X24, typename X25, typename X26, typename X27, typename X28
            , typename X29, typename X30, typename X31, typename X32, typename X33, typename X34, typename X35
            , typename X36, typename X37, typename X38, typename X39, typename X40, typename X41, typename X42
            , typename X43, typename X44, typename X45, typename X46, typename X47, typename X48, typename X49
            , typename X50, typename X51, typename X52, typename X53, typename X54, typename X55, typename X56
            , typename ...Xn
        >
        static constexpr decltype(auto)
        apply(F&& f
              , X1&& x1, X2&& x2, X3&& x3, X4&& x4, X5&& x5, X6&& x6, X7&& x7
              , X8&& x8, X9&& x9, X10&& x10, X11&& x11, X12&& x12, X13&& x13, X14&& x14
              , X15&& x15, X16&& x16, X17&& x17, X18&& x18, X19&& x19, X20&& x20, X21&& x21
              , X22&& x22, X23&& x23, X24&& x24, X25&& x25, X26&& x26, X27&& x27, X28&& x28
              , X29&& x29, X30&& x30, X31&& x31, X32&& x32, X33&& x33, X34&& x34, X35&& x35
              , X36&& x36, X37&& x37, X38&& x38, X39&& x39, X40&& x40, X41&& x41, X42&& x42
              , X43&& x43, X44&& x44, X45&& x45, X46&& x46, X47&& x47, X48&& x48, X49&& x49
              , X50&& x50, X51&& x51, X52&& x52, X53&& x53, X54&& x54, X55&& x55, X56&& x56
              , Xn&& ...xn)
        {
            return foldl1_impl<sizeof...(xn) + 1>::apply(
                f,
                f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(
                    static_cast<X1&&>(x1), static_cast<X2&&>(x2)), static_cast<X3&&>(x3)), static_cast<X4&&>(x4)), static_cast<X5&&>(x5)), static_cast<X6&&>(x6)), static_cast<X7&&>(x7)),
                    static_cast<X8&&>(x8)), static_cast<X9&&>(x9)), static_cast<X10&&>(x10)), static_cast<X11&&>(x11)), static_cast<X12&&>(x12)), static_cast<X13&&>(x13)), static_cast<X14&&>(x14)),
                    static_cast<X15&&>(x15)), static_cast<X16&&>(x16)), static_cast<X17&&>(x17)), static_cast<X18&&>(x18)), static_cast<X19&&>(x19)), static_cast<X20&&>(x20)), static_cast<X21&&>(x21)),
                    static_cast<X22&&>(x22)), static_cast<X23&&>(x23)), static_cast<X24&&>(x24)), static_cast<X25&&>(x25)), static_cast<X26&&>(x26)), static_cast<X27&&>(x27)), static_cast<X28&&>(x28)),
                    static_cast<X29&&>(x29)), static_cast<X30&&>(x30)), static_cast<X31&&>(x31)), static_cast<X32&&>(x32)), static_cast<X33&&>(x33)), static_cast<X34&&>(x34)), static_cast<X35&&>(x35)),
                    static_cast<X36&&>(x36)), static_cast<X37&&>(x37)), static_cast<X38&&>(x38)), static_cast<X39&&>(x39)), static_cast<X40&&>(x40)), static_cast<X41&&>(x41)), static_cast<X42&&>(x42)),
                    static_cast<X43&&>(x43)), static_cast<X44&&>(x44)), static_cast<X45&&>(x45)), static_cast<X46&&>(x46)), static_cast<X47&&>(x47)), static_cast<X48&&>(x48)), static_cast<X49&&>(x49)),
                    static_cast<X50&&>(x50)), static_cast<X51&&>(x51)), static_cast<X52&&>(x52)), static_cast<X53&&>(x53)), static_cast<X54&&>(x54)), static_cast<X55&&>(x55)), static_cast<X56&&>(x56))
                , static_cast<Xn&&>(xn)...);
        }
    };

    struct foldl1_t {
        template <typename F, typename X1, typename ...Xn>
        constexpr decltype(auto) operator()(F&& f, X1&& x1, Xn&& ...xn) const {
            return foldl1_impl<sizeof...(xn) + 1>::apply(
                static_cast<F&&>(f), static_cast<X1&&>(x1), static_cast<Xn&&>(xn)...
            );
        }
    };

    constexpr foldl1_t foldl1{};
    constexpr auto foldl = foldl1;
}} }}
# 18 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/functional/partial.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/functional/partial.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/basic_tuple.hpp" 1
# 14 "/us/include/boost_1_64_0/boost/hana/fwd/basic_tuple.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/make.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/make.hpp"
namespace boost { namespace hana {
# 54 "/us/include/boost_1_64_0/boost/hana/fwd/core/make.hpp"
    template <typename Tag, typename = void>
    struct make_impl;

    template <typename Tag>
    struct make_t {
        template <typename ...X>
        constexpr decltype(auto) operator()(X&& ...x) const {
            return make_impl<Tag>::apply(static_cast<X&&>(x)...);
        }
    };

    template <typename Tag>
    constexpr make_t<Tag> make{};

}}
# 14 "/us/include/boost_1_64_0/boost/hana/fwd/basic_tuple.hpp" 2



namespace boost { namespace hana {
# 29 "/us/include/boost_1_64_0/boost/hana/fwd/basic_tuple.hpp"
    template <typename ...Xs>
    struct basic_tuple;



    struct basic_tuple_tag { };
# 62 "/us/include/boost_1_64_0/boost/hana/fwd/basic_tuple.hpp"
    constexpr auto make_basic_tuple = make<basic_tuple_tag>;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/detail/decay.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/detail/decay.hpp"
namespace boost { namespace hana { namespace detail {
# 32 "/us/include/boost_1_64_0/boost/hana/detail/decay.hpp"
    template <typename T, typename U = typename std::remove_reference<T>::type>
    struct decay {
        using type = typename std::remove_cv<U>::type;
    };

    template <typename T, typename U>
    struct decay<T, U[]> { using type = U*; };
    template <typename T, typename U, std::size_t N>
    struct decay<T, U[N]> { using type = U*; };

    template <typename T, typename R, typename ...A>
    struct decay<T, R(A...)> { using type = R(*)(A...); };
    template <typename T, typename R, typename ...A>
    struct decay<T, R(A..., ...)> { using type = R(*)(A..., ...); };
} }}
# 16 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/ebo.hpp" 1
# 14 "/us/include/boost_1_64_0/boost/hana/detail/ebo.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/intrinsics.hpp" 1
# 14 "/us/include/boost_1_64_0/boost/hana/detail/ebo.hpp" 2



namespace _hana {
# 50 "/us/include/boost_1_64_0/boost/hana/detail/ebo.hpp"
    template <typename K, typename V, bool =
        __is_empty(V) && !__is_final(V)
    >
    struct ebo;


    template <typename K, typename V>
    struct ebo<K, V, true> : V {
        constexpr ebo() { }

        template <typename T>
        explicit constexpr ebo(T&& t)
            : V(static_cast<T&&>(t))
        { }
    };


    template <typename K, typename V>
    struct ebo<K, V, false> {
        constexpr ebo() : data_() { }

        template <typename T>
        explicit constexpr ebo(T&& t)
            : data_(static_cast<T&&>(t))
        { }

        V data_;
    };




    template <typename K, typename V>
    constexpr V const& ebo_get(ebo<K, V, true> const& x)
    { return x; }

    template <typename K, typename V>
    constexpr V& ebo_get(ebo<K, V, true>& x)
    { return x; }

    template <typename K, typename V>
    constexpr V&& ebo_get(ebo<K, V, true>&& x)
    { return static_cast<V&&>(x); }


    template <typename K, typename V>
    constexpr V const& ebo_get(ebo<K, V, false> const& x)
    { return x.data_; }

    template <typename K, typename V>
    constexpr V& ebo_get(ebo<K, V, false>& x)
    { return x.data_; }

    template <typename K, typename V>
    constexpr V&& ebo_get(ebo<K, V, false>&& x)
    { return static_cast<V&&>(x.data_); }
}

namespace boost { namespace hana {
    namespace detail {
        using ::_hana::ebo;
        using ::_hana::ebo_get;
    }
}}
# 17 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/at.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/fwd/at.hpp"
namespace boost { namespace hana {
# 54 "/us/include/boost_1_64_0/boost/hana/fwd/at.hpp"
    template <typename It, typename = void>
    struct at_impl : at_impl<It, when<true>> { };

    struct at_t {
        template <typename Xs, typename N>
        constexpr decltype(auto) operator()(Xs&& xs, N const& n) const;
    };

    constexpr at_t at{};
# 84 "/us/include/boost_1_64_0/boost/hana/fwd/at.hpp"
    template <std::size_t n, typename Xs>
    constexpr decltype(auto) at_c(Xs&& xs);

}}
# 18 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/sequence.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/concept/sequence.hpp"
namespace boost { namespace hana {
# 160 "/us/include/boost_1_64_0/boost/hana/fwd/concept/sequence.hpp"
    template <typename S, typename = void>
    struct Sequence : Sequence<S, when<true>> { };

}}
# 20 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/fwd/drop_front.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/drop_front.hpp"
namespace boost { namespace hana {
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/drop_front.hpp"
    template <typename It, typename = void>
    struct drop_front_impl : drop_front_impl<It, when<true>> { };

    struct drop_front_t {
        template <typename Xs, typename N>
        constexpr auto operator()(Xs&& xs, N const& n) const;

        template <typename Xs>
        constexpr auto operator()(Xs&& xs) const;
    };

    constexpr drop_front_t drop_front{};

}}
# 23 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/is_empty.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/is_empty.hpp"
namespace boost { namespace hana {
# 37 "/us/include/boost_1_64_0/boost/hana/fwd/is_empty.hpp"
    template <typename It, typename = void>
    struct is_empty_impl : is_empty_impl<It, when<true>> { };

    struct is_empty_t {
        template <typename Xs>
        constexpr auto operator()(Xs const& xs) const;
    };

    constexpr is_empty_t is_empty{};

}}
# 24 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/transform.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/transform.hpp"
namespace boost { namespace hana {
# 45 "/us/include/boost_1_64_0/boost/hana/fwd/transform.hpp"
    template <typename Xs, typename = void>
    struct transform_impl : transform_impl<Xs, when<true>> { };

    struct transform_t {
        template <typename Xs, typename F>
        constexpr auto operator()(Xs&& xs, F&& f) const;
    };

    constexpr transform_t transform{};

}}
# 25 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/unpack.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/unpack.hpp"
namespace boost { namespace hana {
# 83 "/us/include/boost_1_64_0/boost/hana/fwd/unpack.hpp"
    template <typename T, typename = void>
    struct unpack_impl : unpack_impl<T, when<true>> { };

    struct unpack_t {
        template <typename Xs, typename F>
        constexpr decltype(auto) operator()(Xs&& xs, F&& f) const;
    };

    constexpr unpack_t unpack{};

}}
# 26 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2
# 35 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp"
# 1 "/usr/include/c++/5.2.0/utility" 1
# 59 "/usr/include/c++/5.2.0/utility" 3
# 69 "/usr/include/c++/5.2.0/utility" 3
# 1 "/usr/include/c++/5.2.0/bits/stl_relops.h" 1 3
# 67 "/usr/include/c++/5.2.0/bits/stl_relops.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{
  namespace rel_ops
  {
# 85 "/usr/include/c++/5.2.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator!=(const _Tp& __x, const _Tp& __y)
      { return !(__x == __y); }
# 98 "/usr/include/c++/5.2.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>(const _Tp& __x, const _Tp& __y)
      { return __y < __x; }
# 111 "/usr/include/c++/5.2.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator<=(const _Tp& __x, const _Tp& __y)
      { return !(__y < __x); }
# 124 "/usr/include/c++/5.2.0/bits/stl_relops.h" 3
    template <class _Tp>
      inline bool
      operator>=(const _Tp& __x, const _Tp& __y)
      { return !(__x < __y); }


  }

}
# 70 "/usr/include/c++/5.2.0/utility" 2 3
# 1 "/usr/include/c++/5.2.0/bits/stl_pair.h" 1 3
# 59 "/usr/include/c++/5.2.0/bits/stl_pair.h" 3
# 1 "/usr/include/c++/5.2.0/bits/move.h" 1 3
# 34 "/usr/include/c++/5.2.0/bits/move.h" 3
# 1 "/usr/include/c++/5.2.0/bits/concept_check.h" 1 3
# 34 "/usr/include/c++/5.2.0/bits/concept_check.h" 3
# 35 "/usr/include/c++/5.2.0/bits/move.h" 2 3

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







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


}




namespace std __attribute__ ((__visibility__ ("default")))
{
# 74 "/usr/include/c++/5.2.0/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 { };
# 118 "/usr/include/c++/5.2.0/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); }
# 133 "/usr/include/c++/5.2.0/bits/move.h" 3
  template<typename _Tp>
    inline _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }


  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;
    }



}
# 159 "/usr/include/c++/5.2.0/bits/move.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{
# 174 "/usr/include/c++/5.2.0/bits/move.h" 3
  template<typename _Tp>
    inline void
    swap(_Tp& __a, _Tp& __b)

    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value)

    {



      _Tp __tmp = std::move(__a);
      __a = std::move(__b);
      __b = std::move(__tmp);
    }




  template<typename _Tp, size_t _Nm>
    inline void
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])

    noexcept(noexcept(swap(*__a, *__b)))

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



}
# 60 "/usr/include/c++/5.2.0/bits/stl_pair.h" 2 3





namespace std __attribute__ ((__visibility__ ("default")))
{
# 76 "/usr/include/c++/5.2.0/bits/stl_pair.h" 3
  struct piecewise_construct_t { };


  constexpr piecewise_construct_t piecewise_construct = piecewise_construct_t();


  template<typename...>
    class tuple;

  template<std::size_t...>
    struct _Index_tuple;
# 95 "/usr/include/c++/5.2.0/bits/stl_pair.h" 3
  template<class _T1, class _T2>
    struct pair
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;





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


      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }







      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<const _U1&, _T1>,
    is_convertible<const _U2&, _T2>>::value>::type>
 constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second) { }

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


      template<class _U1, class = typename
        enable_if<is_convertible<_U1, _T1>::value>::type>
 constexpr pair(_U1&& __x, const _T2& __y)
 : first(std::forward<_U1>(__x)), second(__y) { }

      template<class _U2, class = typename
        enable_if<is_convertible<_U2, _T2>::value>::type>
 constexpr pair(const _T1& __x, _U2&& __y)
 : first(__x), second(std::forward<_U2>(__y)) { }

      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }

      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename... _Args1, typename... _Args2>
        pair(piecewise_construct_t, tuple<_Args1...>, tuple<_Args2...>);

      pair&
      operator=(const pair& __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(pair&& __p)
      noexcept(__and_<is_nothrow_move_assignable<_T1>,
               is_nothrow_move_assignable<_T2>>::value)
      {
 first = std::forward<first_type>(__p.first);
 second = std::forward<second_type>(__p.second);
 return *this;
      }

      template<class _U1, class _U2>
 pair&
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }

      template<class _U1, class _U2>
 pair&
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }

      void
      swap(pair& __p)
      noexcept(noexcept(swap(first, __p.first))
        && noexcept(swap(second, __p.second)))
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }

    private:
      template<typename... _Args1, std::size_t... _Indexes1,
               typename... _Args2, std::size_t... _Indexes2>
        pair(tuple<_Args1...>&, tuple<_Args2...>&,
             _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);

    };


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


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


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


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


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


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





  template<class _T1, class _T2>
    inline void
    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
# 273 "/usr/include/c++/5.2.0/bits/stl_pair.h" 3
  template<class _T1, class _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }
# 293 "/usr/include/c++/5.2.0/bits/stl_pair.h" 3
}
# 71 "/usr/include/c++/5.2.0/utility" 2 3




# 1 "/usr/include/c++/5.2.0/initializer_list" 1 3
# 34 "/usr/include/c++/5.2.0/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
# 76 "/usr/include/c++/5.2.0/utility" 2 3

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


  template<class _Tp>
    class tuple_size;

  template<std::size_t _Int, class _Tp>
    class tuple_element;




  template<class _Tp1, class _Tp2>
    struct tuple_size<std::pair<_Tp1, _Tp2>>
    : public integral_constant<std::size_t, 2> { };


  template<class _Tp1, class _Tp2>
    struct tuple_element<0, std::pair<_Tp1, _Tp2>>
    { typedef _Tp1 type; };


  template<class _Tp1, class _Tp2>
    struct tuple_element<1, std::pair<_Tp1, _Tp2>>
    { typedef _Tp2 type; };

  template<std::size_t _Int>
    struct __pair_get;

  template<>
    struct __pair_get<0>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }

      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp1>(__pair.first); }

      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp1&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }
    };

  template<>
    struct __pair_get<1>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }

      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp2>(__pair.second); }

      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp2&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }
    };

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__get(__in); }

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&&
    get(std::pair<_Tp1, _Tp2>&& __in) noexcept
    { return __pair_get<_Int>::__move_get(std::move(__in)); }

  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(const std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__const_get(__in); }





  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 _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 = _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
    {
      typedef _Index_tuple<_Indexes..., sizeof...(_Indexes)> __next;
    };


  template<size_t _Num>
    struct _Build_index_tuple
    {
      typedef typename _Build_index_tuple<_Num - 1>::__type::__next __type;
    };

  template<>
    struct _Build_index_tuple<0>
    {
      typedef _Index_tuple<> __type;
    };






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

  template<typename _Tp, _Tp _Num,
    typename _ISeq = typename _Build_index_tuple<_Num>::__type>
    struct _Make_integer_sequence;

  template<typename _Tp, _Tp _Num, size_t... _Idx>
    struct _Make_integer_sequence<_Tp, _Num, _Index_tuple<_Idx...>>
    {
      static_assert( _Num >= 0,
       "Cannot make integer sequence of negative length" );

      typedef integer_sequence<_Tp, static_cast<_Tp>(_Idx)...> __type;
    };


  template<typename _Tp, _Tp _Num>
    using make_integer_sequence
      = typename _Make_integer_sequence<_Tp, _Num>::__type;


  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)>;



}
# 35 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp" 2



namespace boost { namespace hana {
    namespace detail {



        template <std::size_t> struct bti;

        struct from_other { };

        template <typename Indices, typename ...Xn>
        struct basic_tuple_impl;

        template <std::size_t ...n, typename ...Xn>
        struct basic_tuple_impl<std::index_sequence<n...>, Xn...>
            : detail::ebo<bti<n>, Xn>...
        {
            static constexpr std::size_t size_ = sizeof...(Xn);

            constexpr basic_tuple_impl() = default;

            template <typename Other>
            explicit constexpr basic_tuple_impl(detail::from_other, Other&& other)
                : detail::ebo<bti<n>, Xn>(detail::ebo_get<bti<n>>(static_cast<Other&&>(other)))...
            { }

            template <typename ...Yn>
            explicit constexpr basic_tuple_impl(Yn&& ...yn)
                : detail::ebo<bti<n>, Xn>(static_cast<Yn&&>(yn))...
            { }
        };
    }





    template <typename ...Xn>
    struct basic_tuple final
        : detail::basic_tuple_impl<std::make_index_sequence<sizeof...(Xn)>, Xn...>
    {
        using Base = detail::basic_tuple_impl<std::make_index_sequence<sizeof...(Xn)>, Xn...>;

        constexpr basic_tuple() = default;


        template <typename Other, typename = typename std::enable_if<
            std::is_same<typename detail::decay<Other>::type, basic_tuple>::value
        >::type>
        constexpr basic_tuple(Other&& other)
            : Base(detail::from_other{}, static_cast<Other&&>(other))
        { }

        template <typename ...Yn>
        explicit constexpr basic_tuple(Yn&& ...yn)
            : Base(static_cast<Yn&&>(yn)...)
        { }
    };


    template <typename ...Xn>
    struct tag_of<basic_tuple<Xn...>> {
        using type = basic_tuple_tag;
    };




    template <>
    struct unpack_impl<basic_tuple_tag> {
        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr decltype(auto)
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...> const& xs, F&& f) {
            return static_cast<F&&>(f)(
                detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn> const&>(xs)
                )...
            );
        }

        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr decltype(auto)
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...>& xs, F&& f) {
            return static_cast<F&&>(f)(
                detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn>&>(xs)
                )...
            );
        }

        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr decltype(auto)
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...>&& xs, F&& f) {
            return static_cast<F&&>(f)(
                detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn>&&>(xs)
                )...
            );
        }
    };




    template <>
    struct transform_impl<basic_tuple_tag> {
        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr auto
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...> const& xs, F const& f) {
            return hana::make_basic_tuple(
                f(detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn> const&>(xs)
                ))...
            );
        }

        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr auto
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...>& xs, F const& f) {
            return hana::make_basic_tuple(
                f(detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn>&>(xs)
                ))...
            );
        }

        template <std::size_t ...i, typename ...Xn, typename F>
        static constexpr auto
        apply(detail::basic_tuple_impl<std::index_sequence<i...>, Xn...>&& xs, F const& f) {
            return hana::make_basic_tuple(
                f(detail::ebo_get<detail::bti<i>>(
                    static_cast<detail::ebo<detail::bti<i>, Xn>&&>(xs)
                ))...
            );
        }
    };




    template <>
    struct at_impl<basic_tuple_tag> {
        template <typename Xs, typename N>
        static constexpr decltype(auto) apply(Xs&& xs, N const&) {
            constexpr std::size_t index = N::value;
            return detail::ebo_get<detail::bti<index>>(static_cast<Xs&&>(xs));
        }
    };

    template <>
    struct drop_front_impl<basic_tuple_tag> {
        template <std::size_t N, typename Xs, std::size_t ...i>
        static constexpr auto drop_front_helper(Xs&& xs, std::index_sequence<i...>) {
            return hana::make_basic_tuple(
                detail::ebo_get<detail::bti<i+N>>(static_cast<Xs&&>(xs))...
            );
        }

        template <typename Xs, typename N>
        static constexpr auto apply(Xs&& xs, N const&) {
            constexpr std::size_t len = detail::decay<Xs>::type::size_;
            return drop_front_helper<N::value>(static_cast<Xs&&>(xs), std::make_index_sequence<
                N::value < len ? len - N::value : 0
            >{});
        }
    };

    template <>
    struct is_empty_impl<basic_tuple_tag> {
        template <typename ...Xs>
        static constexpr hana::bool_<sizeof...(Xs) == 0>
        apply(basic_tuple<Xs...> const&)
        { return {}; }
    };


    template <std::size_t n, typename ...Xs>
    constexpr decltype(auto) at_c(basic_tuple<Xs...> const& xs) {
        return detail::ebo_get<detail::bti<n>>(xs);
    }

    template <std::size_t n, typename ...Xs>
    constexpr decltype(auto) at_c(basic_tuple<Xs...>& xs) {
        return detail::ebo_get<detail::bti<n>>(xs);
    }

    template <std::size_t n, typename ...Xs>
    constexpr decltype(auto) at_c(basic_tuple<Xs...>&& xs) {
        return detail::ebo_get<detail::bti<n>>(static_cast<basic_tuple<Xs...>&&>(xs));
    }




    template <>
    struct Sequence<basic_tuple_tag> {
        static constexpr bool value = true;
    };

    template <>
    struct make_impl<basic_tuple_tag> {
        template <typename ...Xn>
        static constexpr basic_tuple<typename detail::decay<Xn>::type...>
        apply(Xn&& ...xn) {
            return basic_tuple<typename detail::decay<Xn>::type...>{
                static_cast<Xn&&>(xn)...
            };
        }
    };
# 259 "/us/include/boost_1_64_0/boost/hana/basic_tuple.hpp"
}}
# 13 "/us/include/boost_1_64_0/boost/hana/functional/partial.hpp" 2








namespace boost { namespace hana {
# 49 "/us/include/boost_1_64_0/boost/hana/functional/partial.hpp"
    template <typename Indices, typename F, typename ...X>
    struct partial_t;

    struct make_partial_t {
        struct secret { };
        template <typename F, typename ...X>
        constexpr partial_t<
            std::make_index_sequence<sizeof...(X)>,
            typename detail::decay<F>::type,
            typename detail::decay<X>::type...
        >
        operator()(F&& f, X&& ...x) const {
            return {secret{}, static_cast<F&&>(f), static_cast<X&&>(x)...};
        }
    };

    template <std::size_t ...n, typename F, typename ...X>
    struct partial_t<std::index_sequence<n...>, F, X...> {
        partial_t() = default;

        template <typename ...T>
        constexpr partial_t(make_partial_t::secret, T&& ...t)
            : storage_{static_cast<T&&>(t)...}
        { }

        basic_tuple<F, X...> storage_;

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) const& {
            return hana::at_c<0>(storage_)(
                hana::at_c<n+1>(storage_)...,
                static_cast<Y&&>(y)...
            );
        }

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) & {
            return hana::at_c<0>(storage_)(
                hana::at_c<n+1>(storage_)...,
                static_cast<Y&&>(y)...
            );
        }

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) && {
            return static_cast<F&&>(hana::at_c<0>(storage_))(
                static_cast<X&&>(hana::at_c<n+1>(storage_))...,
                static_cast<Y&&>(y)...
            );
        }
    };

    constexpr make_partial_t partial{};

}}
# 19 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/unpack.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/accessors.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/accessors.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/accessors.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/accessors.hpp"
namespace boost { namespace hana {
# 39 "/us/include/boost_1_64_0/boost/hana/fwd/accessors.hpp"
    template <typename S, typename = void>
    struct accessors_impl : accessors_impl<S, when<true>> { };

    template <typename S>
    struct accessors_t;

    template <typename S>
    constexpr accessors_t<S> accessors{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/accessors.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/struct.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/struct.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/struct.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/struct.hpp"
namespace boost { namespace hana {
# 152 "/us/include/boost_1_64_0/boost/hana/fwd/concept/struct.hpp"
    template <typename S>
    struct Struct;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/struct.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/accessors.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/concept/struct.hpp" 2







namespace boost { namespace hana {
    template <typename S>
    struct Struct
        : hana::integral_constant<bool,
            !is_default<accessors_impl<typename tag_of<S>::type>>::value
        >
    { };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/accessors.hpp" 2





namespace boost { namespace hana {
    template <typename S>
    struct accessors_t {

        static_assert(hana::Struct<S>::value,
        "hana::accessors<S> requires 'S' to be a Struct");


        constexpr decltype(auto) operator()() const {
            using Accessors = ::std::conditional_t< (hana::Struct<S>::value), accessors_impl<S>, ::boost::hana::deleted_implementation >;



            return Accessors::apply();
        }
    };

    template <typename S, bool condition>
    struct accessors_impl<S, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    namespace struct_detail {
        template <typename ...>
        struct is_valid { static constexpr bool value = true; };
    }

    template <typename S>
    struct accessors_impl<S, when<
        struct_detail::is_valid<typename S::hana_accessors_impl>::value
    >>
        : S::hana_accessors_impl
    { };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/at.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/at.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/iterable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/iterable.hpp"
namespace boost { namespace hana {
# 145 "/us/include/boost_1_64_0/boost/hana/fwd/concept/iterable.hpp"
    template <typename It>
    struct Iterable;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/at.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/drop_front.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/drop_front.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/drop_front.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/integral_constant.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/integral_constant.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/integral_constant.hpp" 2
# 20 "/us/include/boost_1_64_0/boost/hana/drop_front.hpp" 2



namespace boost { namespace hana {

    template <typename Xs, typename N>
    constexpr auto drop_front_t::operator()(Xs&& xs, N const& n) const {
        using It = typename hana::tag_of<Xs>::type;
        using DropFront = ::std::conditional_t< (hana::Iterable<It>::value && hana::IntegralConstant<N>::value), drop_front_impl<It>, ::boost::hana::deleted_implementation >;





        static_assert(hana::Iterable<It>::value,
        "hana::drop_front(xs, n) requires 'xs' to be an Iterable");

        static_assert(hana::IntegralConstant<N>::value,
        "hana::drop_front(xs, n) requires 'n' to be an IntegralConstant");


        return DropFront::apply(static_cast<Xs&&>(xs), n);
    }

    template <typename Xs>
    constexpr auto drop_front_t::operator()(Xs&& xs) const {
        return (*this)(static_cast<Xs&&>(xs), hana::size_t<1>{});
    }


    template <typename It, bool condition>
    struct drop_front_impl<It, when<condition>> : default_ {
        template <typename Xs, typename N>
        static constexpr auto apply(Xs&&, N const&) = delete;
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/is_empty.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/is_empty.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/is_empty.hpp" 2





namespace boost { namespace hana {

    template <typename Xs>
    constexpr auto is_empty_t::operator()(Xs const& xs) const {
        using It = typename hana::tag_of<Xs>::type;
        using IsEmpty = ::std::conditional_t< (hana::Iterable<It>::value), is_empty_impl<It>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Iterable<It>::value,
        "hana::is_empty(xs) requires 'xs' to be an Iterable");


        return IsEmpty::apply(xs);
    }


    template <typename It, bool condition>
    struct is_empty_impl<It, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };
}}
# 21 "/us/include/boost_1_64_0/boost/hana/concept/iterable.hpp" 2



namespace boost { namespace hana {
    template <typename It>
    struct Iterable
        : hana::integral_constant<bool,
            !is_default<at_impl<typename tag_of<It>::type>>::value &&
            !is_default<drop_front_impl<typename tag_of<It>::type>>::value &&
            !is_default<is_empty_impl<typename tag_of<It>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/at.hpp" 2








namespace boost { namespace hana {

    template <typename Xs, typename N>
    constexpr decltype(auto) at_t::operator()(Xs&& xs, N const& n) const {
        using It = typename hana::tag_of<Xs>::type;
        using At = ::std::conditional_t< (hana::Iterable<It>::value), at_impl<It>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Iterable<It>::value,
        "hana::at(xs, n) requires 'xs' to be an Iterable");

        static_assert(hana::IntegralConstant<N>::value,
        "hana::at(xs, n) requires 'n' to be an IntegralConstant");


        return At::apply(static_cast<Xs&&>(xs), n);
    }


    template <typename It, bool condition>
    struct at_impl<It, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    template <std::size_t n, typename Xs>
    constexpr decltype(auto) at_c(Xs&& xs) {
        return hana::at(static_cast<Xs&&>(xs), hana::size_t<n>{});
    }
}}
# 16 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/first.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/first.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/first.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/first.hpp"
namespace boost { namespace hana {
# 37 "/us/include/boost_1_64_0/boost/hana/fwd/first.hpp"
    template <typename P, typename = void>
    struct first_impl : first_impl<P, when<true>> { };

    struct first_t {
        template <typename Pair>
        constexpr decltype(auto) operator()(Pair&& pair) const;
    };

    constexpr first_t first{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/first.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/product.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/product.hpp"
namespace boost { namespace hana {
# 99 "/us/include/boost_1_64_0/boost/hana/fwd/concept/product.hpp"
    template <typename P>
    struct Product;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/first.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/second.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/second.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/second.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/second.hpp"
namespace boost { namespace hana {
# 36 "/us/include/boost_1_64_0/boost/hana/fwd/second.hpp"
    template <typename P, typename = void>
    struct second_impl : second_impl<P, when<true>> { };

    struct second_t {
        template <typename Pair>
        constexpr decltype(auto) operator()(Pair&& pair) const;
    };

    constexpr second_t second{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/second.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/second.hpp" 2





namespace boost { namespace hana {

    template <typename Pair>
    constexpr decltype(auto) second_t::operator()(Pair&& pair) const {
        using P = typename hana::tag_of<Pair>::type;
        using Second = ::std::conditional_t< (hana::Product<P>::value), second_impl<P>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Product<P>::value,
        "hana::second(pair) requires 'pair' to be a Product");


        return Second::apply(static_cast<Pair&&>(pair));
    }


    template <typename P, bool condition>
    struct second_impl<P, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/product.hpp" 2



namespace boost { namespace hana {
    template <typename P>
    struct Product
        : hana::integral_constant<bool,
            !is_default<first_impl<typename tag_of<P>::type>>::value &&
            !is_default<second_impl<typename tag_of<P>::type>>::value
        >
    { };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/first.hpp" 2





namespace boost { namespace hana {

    template <typename Pair>
    constexpr decltype(auto) first_t::operator()(Pair&& pair) const {
        using P = typename hana::tag_of<Pair>::type;
        using First = ::std::conditional_t< (hana::Product<P>::value), first_impl<P>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Product<P>::value,
        "hana::first(pair) requires 'pair' to be a Product");


        return First::apply(static_cast<Pair&&>(pair));
    }


    template <typename P, bool condition>
    struct first_impl<P, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };
}}
# 22 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/length.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/length.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/length.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/length.hpp"
namespace boost { namespace hana {
# 38 "/us/include/boost_1_64_0/boost/hana/fwd/length.hpp"
    template <typename T, typename = void>
    struct length_impl : length_impl<T, when<true>> { };

    struct length_t {
        template <typename Xs>
        constexpr auto operator()(Xs const& xs) const;
    };

    constexpr length_t length{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/length.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/length.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/length.hpp" 2



namespace boost { namespace hana {

    template <typename Xs>
    constexpr auto length_t::operator()(Xs const& xs) const {
        using S = typename hana::tag_of<Xs>::type;
        using Length = ::std::conditional_t< (hana::Foldable<S>::value), length_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Foldable<S>::value,
        "hana::length(xs) requires 'xs' to be Foldable");


        return Length::apply(xs);
    }


    namespace detail {
        struct argn {
            template <typename ...Xs>
            constexpr hana::size_t<sizeof...(Xs)> operator()(Xs const& ...) const
            { return {}; }
        };
    }

    template <typename T, bool condition>
    struct length_impl<T, when<condition>> : default_ {
        template <typename Xs>
        static constexpr auto apply(Xs const& xs) {
            return hana::unpack(xs, detail::argn{});
        }
    };
}}
# 25 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/pair.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/pair.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/pair.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/pair.hpp"
namespace boost { namespace hana {
# 120 "/us/include/boost_1_64_0/boost/hana/fwd/pair.hpp"
    template <typename First, typename Second>
    struct pair;




    struct pair_tag { };
# 150 "/us/include/boost_1_64_0/boost/hana/fwd/pair.hpp"
    constexpr auto make_pair = make<pair_tag>;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/pair.hpp" 2







# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/comparable.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/comparable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/equal.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/fwd/equal.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/nested_to_fwd.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/nested_to_fwd.hpp"
namespace boost { namespace hana { namespace detail {
    template <typename Algorithm>
    struct nested_to_t {
        template <typename X>
        constexpr decltype(auto) operator()(X&& x) const;
    };
# 40 "/us/include/boost_1_64_0/boost/hana/detail/nested_to_fwd.hpp"
    template <typename Algorithm>
    struct nested_to { static constexpr nested_to_t<Algorithm> to{}; };

    template <typename Algorithm>
    constexpr nested_to_t<Algorithm> nested_to<Algorithm>::to;
} }}
# 15 "/us/include/boost_1_64_0/boost/hana/fwd/equal.hpp" 2



namespace boost { namespace hana {
# 68 "/us/include/boost_1_64_0/boost/hana/fwd/equal.hpp"
    template <typename T, typename U, typename = void>
    struct equal_impl : equal_impl<T, U, when<true>> { };

    struct equal_t : detail::nested_to<equal_t> {
        template <typename X, typename Y>
        constexpr auto operator()(X&& x, Y&& y) const;
    };

    constexpr equal_t equal{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/comparable.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/not_equal.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/fwd/not_equal.hpp"
namespace boost { namespace hana {
# 58 "/us/include/boost_1_64_0/boost/hana/fwd/not_equal.hpp"
    template <typename T, typename U, typename = void>
    struct not_equal_impl : not_equal_impl<T, U, when<true>> { };

    struct not_equal_t : detail::nested_to<not_equal_t> {
        template <typename X, typename Y>
        constexpr auto operator()(X&& x, Y&& y) const;
    };

    constexpr not_equal_t not_equal{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/detail/operators/comparable.hpp" 2





namespace boost { namespace hana { namespace detail {
    template <typename Tag>
    struct comparable_operators {
        static constexpr bool value = false;
    };

    namespace operators {
        template <typename X, typename Y, typename = typename std::enable_if<
            detail::comparable_operators<typename hana::tag_of<X>::type>::value ||
            detail::comparable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator==(X&& x, Y&& y)
        { return hana::equal(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::comparable_operators<typename hana::tag_of<X>::type>::value ||
            detail::comparable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator!=(X&& x, Y&& y)
        { return hana::not_equal(static_cast<X&&>(x), static_cast<Y&&>(y)); }
    }
} }}
# 20 "/us/include/boost_1_64_0/boost/hana/pair.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/greater.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/fwd/greater.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/nested_than_fwd.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/nested_than_fwd.hpp"
namespace boost { namespace hana { namespace detail {
    template <typename Algorithm>
    struct nested_than_t {
        template <typename X>
        constexpr decltype(auto) operator()(X&& x) const;
    };
# 40 "/us/include/boost_1_64_0/boost/hana/detail/nested_than_fwd.hpp"
    template <typename Algorithm>
    struct nested_than { static constexpr nested_than_t<Algorithm> than{}; };

    template <typename Algorithm>
    constexpr nested_than_t<Algorithm> nested_than<Algorithm>::than;
} }}
# 15 "/us/include/boost_1_64_0/boost/hana/fwd/greater.hpp" 2



namespace boost { namespace hana {
# 41 "/us/include/boost_1_64_0/boost/hana/fwd/greater.hpp"
    template <typename T, typename U, typename = void>
    struct greater_impl : greater_impl<T, U, when<true>> { };

    struct greater_t : detail::nested_than<greater_t> {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr greater_t greater{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/greater_equal.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/fwd/greater_equal.hpp"
namespace boost { namespace hana {
# 42 "/us/include/boost_1_64_0/boost/hana/fwd/greater_equal.hpp"
    template <typename T, typename U, typename = void>
    struct greater_equal_impl : greater_equal_impl<T, U, when<true>> { };

    struct greater_equal_t : detail::nested_than<greater_equal_t> {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr greater_equal_t greater_equal{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/less.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/fwd/less.hpp"
namespace boost { namespace hana {
# 41 "/us/include/boost_1_64_0/boost/hana/fwd/less.hpp"
    template <typename T, typename U, typename = void>
    struct less_impl : less_impl<T, U, when<true>> { };

    struct less_t : detail::nested_than<less_t> {
        template <typename X, typename Y>
        constexpr auto operator()(X&& x, Y&& y) const;
    };

    constexpr less_t less{};

}}
# 17 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/less_equal.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/fwd/less_equal.hpp"
namespace boost { namespace hana {
# 42 "/us/include/boost_1_64_0/boost/hana/fwd/less_equal.hpp"
    template <typename T, typename U, typename = void>
    struct less_equal_impl : less_equal_impl<T, U, when<true>> { };

    struct less_equal_t : detail::nested_than<less_equal_t> {
        template <typename X, typename Y>
        constexpr auto operator()(X&& x, Y&& y) const;
    };

    constexpr less_equal_t less_equal{};

}}
# 18 "/us/include/boost_1_64_0/boost/hana/detail/operators/orderable.hpp" 2





namespace boost { namespace hana { namespace detail {
    template <typename Tag>
    struct orderable_operators {
        static constexpr bool value = false;
    };

    namespace operators {
        template <typename X, typename Y, typename = typename std::enable_if<
            detail::orderable_operators<typename hana::tag_of<X>::type>::value ||
            detail::orderable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator<(X&& x, Y&& y)
        { return hana::less(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::orderable_operators<typename hana::tag_of<X>::type>::value ||
            detail::orderable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator>(X&& x, Y&& y)
        { return hana::greater(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::orderable_operators<typename hana::tag_of<X>::type>::value ||
            detail::orderable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator<=(X&& x, Y&& y)
        { return hana::less_equal(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::orderable_operators<typename hana::tag_of<X>::type>::value ||
            detail::orderable_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator>=(X&& x, Y&& y)
        { return hana::greater_equal(static_cast<X&&>(x), static_cast<Y&&>(y)); }
    }
} }}
# 21 "/us/include/boost_1_64_0/boost/hana/pair.hpp" 2
# 30 "/us/include/boost_1_64_0/boost/hana/pair.hpp"
namespace boost { namespace hana {
    namespace detail {
        template <int> struct pix;
    }





    template <typename First, typename Second>
    struct pair : detail::operators::adl<pair<First, Second>>
                , private detail::ebo<detail::pix<0>, First>
                , private detail::ebo<detail::pix<1>, Second>
    {

        template <typename ...dummy, typename = typename std::enable_if<
            ::std::is_constructible<First, dummy...>::value &&
            ::std::is_constructible<Second, dummy...>::value
        >::type>
        constexpr pair()
            : detail::ebo<detail::pix<0>, First>()
            , detail::ebo<detail::pix<1>, Second>()
        { }


        template <typename ...dummy, typename = typename std::enable_if<
            ::std::is_constructible<First, First const&, dummy...>::value &&
            ::std::is_constructible<Second, Second const&, dummy...>::value
        >::type>
        constexpr pair(First const& fst, Second const& snd)
            : detail::ebo<detail::pix<0>, First>(fst)
            , detail::ebo<detail::pix<1>, Second>(snd)
        { }

        template <typename T, typename U, typename = typename std::enable_if<
            ::std::is_convertible<T&&, First>::value &&
            ::std::is_convertible<U&&, Second>::value
        >::type>
        constexpr pair(T&& t, U&& u)
            : detail::ebo<detail::pix<0>, First>(static_cast<T&&>(t))
            , detail::ebo<detail::pix<1>, Second>(static_cast<U&&>(u))
        { }



        template <typename T, typename U, typename = typename std::enable_if<
            ::std::is_constructible<First, T const&>::value &&
            ::std::is_constructible<Second, U const&>::value &&
            ::std::is_convertible<T const&, First>::value &&
            ::std::is_convertible<U const&, Second>::value
        >::type>
        constexpr pair(pair<T, U> const& other)
            : detail::ebo<detail::pix<0>, First>(detail::ebo_get<detail::pix<0>>(other))
            , detail::ebo<detail::pix<1>, Second>(detail::ebo_get<detail::pix<1>>(other))
        { }

        template <typename T, typename U, typename = typename std::enable_if<
            ::std::is_constructible<First, T&&>::value &&
            ::std::is_constructible<Second, U&&>::value &&
            ::std::is_convertible<T&&, First>::value &&
            ::std::is_convertible<U&&, Second>::value
        >::type>
        constexpr pair(pair<T, U>&& other)
            : detail::ebo<detail::pix<0>, First>(static_cast<T&&>(detail::ebo_get<detail::pix<0>>(other)))
            , detail::ebo<detail::pix<1>, Second>(static_cast<U&&>(detail::ebo_get<detail::pix<1>>(other)))
        { }



        template <typename T, typename U, typename = typename std::enable_if<
            ::std::is_assignable<First&, T const&>::value &&
            ::std::is_assignable<Second&, U const&>::value
        >::type>
        constexpr pair& operator=(pair<T, U> const& other) {
            detail::ebo_get<detail::pix<0>>(*this) = detail::ebo_get<detail::pix<0>>(other);
            detail::ebo_get<detail::pix<1>>(*this) = detail::ebo_get<detail::pix<1>>(other);
            return *this;
        }

        template <typename T, typename U, typename = typename std::enable_if<
            ::std::is_assignable<First&, T&&>::value &&
            ::std::is_assignable<Second&, U&&>::value
        >::type>
        constexpr pair& operator=(pair<T, U>&& other) {
            detail::ebo_get<detail::pix<0>>(*this) = static_cast<T&&>(detail::ebo_get<detail::pix<0>>(other));
            detail::ebo_get<detail::pix<1>>(*this) = static_cast<U&&>(detail::ebo_get<detail::pix<1>>(other));
            return *this;
        }



        ~pair() = default;

        friend struct first_impl<pair_tag>;
        friend struct second_impl<pair_tag>;
        template <typename F, typename S> friend struct pair;
    };


    template <typename First, typename Second>
    struct tag_of<pair<First, Second>> {
        using type = pair_tag;
    };




    namespace detail {
        template <>
        struct comparable_operators<pair_tag> {
            static constexpr bool value = true;
        };
        template <>
        struct orderable_operators<pair_tag> {
            static constexpr bool value = true;
        };
    }




    template <>
    struct make_impl<pair_tag> {
        template <typename F, typename S>
        static constexpr pair<
            typename detail::decay<F>::type,
            typename detail::decay<S>::type
        > apply(F&& f, S&& s) {
            return {static_cast<F&&>(f), static_cast<S&&>(s)};
        }
    };

    template <>
    struct first_impl<pair_tag> {
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second>& p) {
            return detail::ebo_get<detail::pix<0>>(
                static_cast<detail::ebo<detail::pix<0>, First>&>(p)
            );
        }
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second> const& p) {
            return detail::ebo_get<detail::pix<0>>(
                static_cast<detail::ebo<detail::pix<0>, First> const&>(p)
            );
        }
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second>&& p) {
            return detail::ebo_get<detail::pix<0>>(
                static_cast<detail::ebo<detail::pix<0>, First>&&>(p)
            );
        }
    };

    template <>
    struct second_impl<pair_tag> {
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second>& p) {
            return detail::ebo_get<detail::pix<1>>(
                static_cast<detail::ebo<detail::pix<1>, Second>&>(p)
            );
        }
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second> const& p) {
            return detail::ebo_get<detail::pix<1>>(
                static_cast<detail::ebo<detail::pix<1>, Second> const&>(p)
            );
        }
        template <typename First, typename Second>
        static constexpr decltype(auto) apply(hana::pair<First, Second>&& p) {
            return detail::ebo_get<detail::pix<1>>(
                static_cast<detail::ebo<detail::pix<1>, Second>&&>(p)
            );
        }
    };
}}
# 26 "/us/include/boost_1_64_0/boost/hana/unpack.hpp" 2







namespace boost { namespace hana {

    template <typename Xs, typename F>
    constexpr decltype(auto) unpack_t::operator()(Xs&& xs, F&& f) const {
        using S = typename hana::tag_of<Xs>::type;
        using Unpack = ::std::conditional_t< (hana::Foldable<S>::value), unpack_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Foldable<S>::value,
        "hana::unpack(xs, f) requires 'xs' to be Foldable");


        return Unpack::apply(static_cast<Xs&&>(xs), static_cast<F&&>(f));
    }


    template <typename T, bool condition>
    struct unpack_impl<T, when<condition>> : default_ {
        template <typename Xs, typename F>
        static constexpr decltype(auto) apply(Xs&& xs, F&& f) {
            return hana::fold_left(static_cast<Xs&&>(xs),
                                   static_cast<F&&>(f),
                                   hana::partial)();
        }
    };

    template <typename It>
    struct unpack_impl<It, when<
        hana::Iterable<It>::value && !is_default<length_impl<It>>::value
    >> {
        template <typename Xs, typename F, std::size_t ...i>
        static constexpr decltype(auto)
        unpack_helper(Xs&& xs, F&& f, std::index_sequence<i...>) {
            return static_cast<F&&>(f)(hana::at_c<i>(static_cast<Xs&&>(xs))...);
        }

        template <typename Xs, typename F>
        static constexpr decltype(auto) apply(Xs&& xs, F&& f) {
            constexpr std::size_t N = decltype(hana::length(xs))::value;
            return unpack_helper(static_cast<Xs&&>(xs), static_cast<F&&>(f),
                                 std::make_index_sequence<N>{});
        }
    };

    template <typename T, std::size_t N>
    struct unpack_impl<T[N]> {
        template <typename Xs, typename F, std::size_t ...i>
        static constexpr decltype(auto)
        unpack_helper(Xs&& xs, F&& f, std::index_sequence<i...>) {
            return static_cast<F&&>(f)(static_cast<Xs&&>(xs)[i]...);
        }

        template <typename Xs, typename F>
        static constexpr decltype(auto) apply(Xs&& xs, F&& f) {
            return unpack_impl::unpack_helper(static_cast<Xs&&>(xs),
                                              static_cast<F&&>(f),
                                              std::make_index_sequence<N>{});
        }
    };




    template <typename T>
    struct unpack_impl<T, when<hana::Product<T>::value>> {
        template <typename P, typename F>
        static constexpr decltype(auto) apply(P&& p, F&& f) {
            return static_cast<F&&>(f)(
                hana::first(static_cast<P&&>(p)),
                hana::second(static_cast<P&&>(p))
            );
        }
    };




    namespace struct_detail {



        struct almost_demux {
            template <typename F, typename Udt, typename ...Members>
            constexpr decltype(auto)
            operator()(F&& f, Udt&& udt, Members&& ...g) const {
                return static_cast<F&&>(f)(hana::make_pair(
                    hana::first(static_cast<Members&&>(g)),
                    hana::second(static_cast<Members&&>(g))
                                                (static_cast<Udt&&>(udt))
                )...);
            }
        };
    }

    template <typename S>
    struct unpack_impl<S, when<hana::Struct<S>::value>> {
        template <typename Udt, typename F>
        static constexpr decltype(auto) apply(Udt&& udt, F&& f) {
            return hana::unpack(hana::accessors<S>(),
                hana::partial(struct_detail::almost_demux{},
                              static_cast<F&&>(f),
                              static_cast<Udt&&>(udt)));
        }
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/fold_left.hpp" 2



namespace boost { namespace hana {

    template <typename Xs, typename State, typename F>
    constexpr decltype(auto) fold_left_t::operator()(Xs&& xs, State&& state, F&& f) const {
        using S = typename hana::tag_of<Xs>::type;
        using FoldLeft = ::std::conditional_t< (hana::Foldable<S>::value), fold_left_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Foldable<S>::value,
        "hana::fold_left(xs, state, f) requires 'xs' to be Foldable");


        return FoldLeft::apply(static_cast<Xs&&>(xs),
                               static_cast<State&&>(state),
                               static_cast<F&&>(f));
    }

    template <typename Xs, typename F>
    constexpr decltype(auto) fold_left_t::operator()(Xs&& xs, F&& f) const {
        using S = typename hana::tag_of<Xs>::type;
        using FoldLeft = ::std::conditional_t< (hana::Foldable<S>::value), fold_left_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Foldable<S>::value,
        "hana::fold_left(xs, f) requires 'xs' to be Foldable");


        return FoldLeft::apply(static_cast<Xs&&>(xs), static_cast<F&&>(f));
    }


    namespace detail {
        template <typename F, typename State>
        struct variadic_foldl1 {
            F& f;
            State& state;
            template <typename ...T>
            constexpr decltype(auto) operator()(T&& ...t) const {
                return detail::variadic::foldl1(
                    static_cast<F&&>(f),
                    static_cast<State&&>(state),
                    static_cast<T&&>(t)...
                );
            }
        };
    }

    template <typename T, bool condition>
    struct fold_left_impl<T, when<condition>> : default_ {

        template <typename Xs, typename S, typename F>
        static constexpr decltype(auto) apply(Xs&& xs, S&& s, F&& f) {
            return hana::unpack(static_cast<Xs&&>(xs),
                detail::variadic_foldl1<F, S>{f, s}
            );
        }


        template <typename Xs, typename F>
        static constexpr decltype(auto) apply(Xs&& xs, F&& f) {
            return hana::unpack(static_cast<Xs&&>(xs),
                hana::partial(
                    detail::variadic::foldl1,
                    static_cast<F&&>(f)
                )
            );
        }
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/concept/foldable.hpp" 2




namespace boost { namespace hana {
    template <typename T>
    struct Foldable
        : hana::integral_constant<bool,
            !is_default<fold_left_impl<typename tag_of<T>::type>>::value ||
            !is_default<unpack_impl<typename tag_of<T>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/concept/sequence.hpp" 1
# 21 "/us/include/boost_1_64_0/boost/hana/concept/sequence.hpp"
namespace boost { namespace hana {
    namespace detail {
        template <typename S, typename Tag = typename hana::tag_of<S>::type>
        struct sequence_dispatch
            : hana::integral_constant<bool,
                hana::Sequence<Tag>::value
            >
        { };

        template <typename S>
        struct sequence_dispatch<S, S>
            : hana::integral_constant<bool, false>
        { };
    }


    template <typename S, bool condition>
    struct Sequence<S, when<condition>>
        : detail::sequence_dispatch<S>
    { };

}}
# 17 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/core/common.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/core/common.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/core/common.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/core/common.hpp"
namespace boost { namespace hana {
# 70 "/us/include/boost_1_64_0/boost/hana/fwd/core/common.hpp"
    template <typename T, typename U, typename = void>
    struct common;
# 88 "/us/include/boost_1_64_0/boost/hana/fwd/core/common.hpp"
    template <typename T, typename U, typename = void>
    struct has_common;
# 99 "/us/include/boost_1_64_0/boost/hana/fwd/core/common.hpp"
    template <typename T, typename U>
    using common_t = typename common<T, U>::type;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/core/common.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/detail/canonical_constant.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/canonical_constant.hpp"
namespace boost { namespace hana { namespace detail {
# 25 "/us/include/boost_1_64_0/boost/hana/detail/canonical_constant.hpp"
    template <typename T>
    struct CanonicalConstant {
        using value_type = T;
    };
} }}





# 1 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 1
# 34 "/us/include/boost_1_64_0/boost/hana/detail/canonical_constant.hpp" 2






namespace boost { namespace hana {



    template <typename T>
    struct value_impl<detail::CanonicalConstant<T>> {
        template <typename X>
        static constexpr decltype(auto) apply()
        { return X::value; }
    };

    namespace detail {
        template <typename T, typename X>
        struct canonical_constant {
            static constexpr auto value = hana::to<T>(hana::value<X>());
            using hana_tag = detail::CanonicalConstant<T>;
        };
    }

    template <typename T, typename C>
    struct to_impl<detail::CanonicalConstant<T>, C, when<
        hana::Constant<C>::value &&
        is_convertible<typename C::value_type, T>::value
    >>
        : embedding<is_embedded<typename C::value_type, T>::value>
    {
        template <typename X>
        static constexpr detail::canonical_constant<T, X> apply(X const&)
        { return {}; }
    };




    template <typename T>
    struct IntegralConstant<detail::CanonicalConstant<T>> {
        static constexpr bool value = std::is_integral<T>::value;
    };
}}
# 18 "/us/include/boost_1_64_0/boost/hana/core/common.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/std_common_type.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/detail/std_common_type.hpp"
namespace boost { namespace hana { namespace detail {



    template <typename T, typename U, typename = void>
    struct std_common_type { };

    template <typename T, typename U>
    struct std_common_type<T, U, decltype((void)(
        true ? std::declval<T>() : std::declval<U>()
    ))> {
        using type = typename detail::decay<
            decltype(true ? std::declval<T>() : std::declval<U>())
        >::type;
    };
} }}
# 19 "/us/include/boost_1_64_0/boost/hana/core/common.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/void_t.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/void_t.hpp"
namespace boost { namespace hana { namespace detail {
    template <typename ...>
    using void_t = void;
} }}
# 20 "/us/include/boost_1_64_0/boost/hana/core/common.hpp" 2





namespace boost { namespace hana {




    template <typename T, typename U, typename>
    struct common : common<T, U, when<true>> { };


    template <typename T, typename U, bool condition>
    struct common<T, U, when<condition>>
        : detail::std_common_type<T, U>
    { };

    template <typename T>
    struct common<T, T> {
        using type = T;
    };




    template <typename T, typename U, typename>
    struct has_common : std::false_type { };

    template <typename T, typename U>
    struct has_common<T, U, detail::void_t<typename common<T, U>::type>>
        : std::true_type
    { };




    namespace constant_detail {







        template <typename A, typename B, typename C>
        struct which {
            using type = detail::CanonicalConstant<C>;
        };

        template <template <typename ...> class A, typename T, typename U, typename C>
        struct which<A<T>, A<U>, C> {
            using type = A<C>;
        };
    }

    template <typename A, typename B>
    struct common<A, B, when<
        hana::Constant<A>::value &&
        hana::Constant<B>::value &&
        has_common<typename A::value_type, typename B::value_type>::value
    >> {
        using type = typename constant_detail::which<
            A, B,
            typename common<typename A::value_type,
                            typename B::value_type>::type
        >::type;
    };

    template <typename A, typename B>
    struct common<A, B, when<
        hana::Constant<A>::value &&
        !hana::Constant<B>::value &&
        has_common<typename A::value_type, B>::value
    >> {
        using type = typename common<typename A::value_type, B>::type;
    };

    template <typename A, typename B>
    struct common<A, B, when<
        !hana::Constant<A>::value &&
        hana::Constant<B>::value &&
        has_common<A, typename B::value_type>::value
    >> {
        using type = typename common<A, typename B::value_type>::type;
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/core/make.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/core/make.hpp"
namespace boost { namespace hana {

    template <typename Datatype, typename>
    struct make_impl : make_impl<Datatype, when<true>> { };


    template <typename Datatype, bool condition>
    struct make_impl<Datatype, when<condition>> : default_ {
        template <typename ...X>
        static constexpr auto make_helper(int, X&& ...x)
            -> decltype(Datatype(static_cast<X&&>(x)...))
        { return Datatype(static_cast<X&&>(x)...); }

        template <typename ...X>
        static constexpr auto make_helper(long, X&& ...) {
            static_assert((sizeof...(X), false),
            "there exists no constructor for the given data type");
        }

        template <typename ...X>
        static constexpr decltype(auto) apply(X&& ...x)
        { return make_helper(int{}, static_cast<X&&>(x)...); }
    };
}}
# 21 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/wrong.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/detail/wrong.hpp"
namespace boost { namespace hana { namespace detail {
# 29 "/us/include/boost_1_64_0/boost/hana/detail/wrong.hpp"
    template <typename ...>
    struct wrong : std::false_type { };
} }}
# 22 "/us/include/boost_1_64_0/boost/hana/core/to.hpp" 2








namespace boost { namespace hana {




    template <typename To, typename From, typename>
    struct to_impl : to_impl<To, From, when<true>> { };


    namespace convert_detail {
        struct no_conversion { };

        template <typename ...>
        struct is_valid { static constexpr bool value = true; };
    }

    template <typename To, typename From, bool condition>
    struct to_impl<To, From, when<condition>> : convert_detail::no_conversion {
        template <typename X>
        static constexpr auto apply(X const&) {
            static_assert(detail::wrong<to_impl<To, From>, X>{},
            "no conversion is available between the provided types");
        }
    };

    template <typename To, typename From>
    struct to_impl<To, From, when<convert_detail::is_valid<
        decltype(static_cast<To>(std::declval<From>()))
    >::value>> {
        template <typename X>
        static constexpr To apply(X&& x)
        { return static_cast<To>(static_cast<X&&>(x)); }
    };

    template <typename To>
    struct to_impl<To, To> : embedding<> {
        template <typename X>
        static constexpr X apply(X&& x)
        { return static_cast<X&&>(x); }
    };


    template <typename To>
    template <typename X>
    constexpr decltype(auto) to_t<To>::operator()(X&& x) const {
        using From = typename hana::tag_of<X>::type;
        return to_impl<To, From>::apply(static_cast<X&&>(x));
    }







    template <> struct to_impl<long double, double> : embedding<> { static constexpr long double apply(double x) { return x; } };
    template <> struct to_impl<long double, float> : embedding<> { static constexpr long double apply(float x) { return x; } };
    template <> struct to_impl<double, float> : embedding<> { static constexpr double apply(float x) { return x; } };

    template <> struct to_impl<signed long long, signed long> : embedding<> { static constexpr signed long long apply(signed long x) { return x; } };
    template <> struct to_impl<signed long long, signed int> : embedding<> { static constexpr signed long long apply(signed int x) { return x; } };
    template <> struct to_impl<signed long long, signed short> : embedding<> { static constexpr signed long long apply(signed short x) { return x; } };
    template <> struct to_impl<signed long long, signed char> : embedding<> { static constexpr signed long long apply(signed char x) { return x; } };
    template <> struct to_impl<signed long, signed int> : embedding<> { static constexpr signed long apply(signed int x) { return x; } };
    template <> struct to_impl<signed long, signed short> : embedding<> { static constexpr signed long apply(signed short x) { return x; } };
    template <> struct to_impl<signed long, signed char> : embedding<> { static constexpr signed long apply(signed char x) { return x; } };
    template <> struct to_impl<signed int, signed short> : embedding<> { static constexpr signed int apply(signed short x) { return x; } };
    template <> struct to_impl<signed int, signed char> : embedding<> { static constexpr signed int apply(signed char x) { return x; } };
    template <> struct to_impl<signed short, signed char> : embedding<> { static constexpr signed short apply(signed char x) { return x; } };

    template <> struct to_impl<unsigned long long, unsigned long> : embedding<> { static constexpr unsigned long long apply(unsigned long x) { return x; } };
    template <> struct to_impl<unsigned long long, unsigned int> : embedding<> { static constexpr unsigned long long apply(unsigned int x) { return x; } };
    template <> struct to_impl<unsigned long long, unsigned short> : embedding<> { static constexpr unsigned long long apply(unsigned short x) { return x; } };
    template <> struct to_impl<unsigned long long, unsigned char> : embedding<> { static constexpr unsigned long long apply(unsigned char x) { return x; } };
    template <> struct to_impl<unsigned long, unsigned int> : embedding<> { static constexpr unsigned long apply(unsigned int x) { return x; } };
    template <> struct to_impl<unsigned long, unsigned short> : embedding<> { static constexpr unsigned long apply(unsigned short x) { return x; } };
    template <> struct to_impl<unsigned long, unsigned char> : embedding<> { static constexpr unsigned long apply(unsigned char x) { return x; } };
    template <> struct to_impl<unsigned int, unsigned short> : embedding<> { static constexpr unsigned int apply(unsigned short x) { return x; } };
    template <> struct to_impl<unsigned int, unsigned char> : embedding<> { static constexpr unsigned int apply(unsigned char x) { return x; } };
    template <> struct to_impl<unsigned short, unsigned char> : embedding<> { static constexpr unsigned short apply(unsigned char x) { return x; } };


    namespace detail {
        template <typename T>
        struct copy_char_signedness {
            using type = typename std::conditional<std::is_signed<char>::value,
                std::make_signed<T>, std::make_unsigned<T>
            >::type::type;
        };
    }
# 134 "/us/include/boost_1_64_0/boost/hana/core/to.hpp"
    template <> struct to_impl<detail::copy_char_signedness<long long>::type, char> : embedding<> { static constexpr detail::copy_char_signedness<long long>::type apply(char x) { return x; } };
    template <> struct to_impl<detail::copy_char_signedness<long>::type, char> : embedding<> { static constexpr detail::copy_char_signedness<long>::type apply(char x) { return x; } };
    template <> struct to_impl<detail::copy_char_signedness<int>::type, char> : embedding<> { static constexpr detail::copy_char_signedness<int>::type apply(char x) { return x; } };
    template <> struct to_impl<detail::copy_char_signedness<short>::type, char> : embedding<> { static constexpr detail::copy_char_signedness<short>::type apply(char x) { return x; } };


    template <typename T>
    struct to_impl<T*, decltype(nullptr)> : embedding<> {
        static constexpr T* apply(decltype(nullptr)) { return nullptr; }
    };




    template <typename From, typename To, typename>
    struct is_convertible : std::true_type { };

    template <typename From, typename To>
    struct is_convertible<From, To, decltype((void)
        static_cast<convert_detail::no_conversion>(*(to_impl<To, From>*)0)
    )> : std::false_type { };




    template <typename From, typename To, typename>
    struct is_embedded : std::false_type { };

    template <typename From, typename To>
    struct is_embedded<From, To, decltype((void)
        static_cast<embedding<true>>(*(to_impl<To, From>*)0)
    )> : std::true_type { };




    template <typename To, typename From>
    struct to_impl<To, From, when<
        hana::Constant<From>::value &&
        is_convertible<typename From::value_type, To>::value
    >> : embedding<is_embedded<typename From::value_type, To>::value> {
        template <typename X>
        static constexpr decltype(auto) apply(X const&)
        { return hana::to<To>(hana::value<X>()); }
    };




    template <typename S, typename F>
    struct to_impl<S, F, when<
        hana::Sequence<S>::value &&
        hana::Foldable<F>::value
    >> : embedding<Sequence<F>::value> {
        template <typename Xs>
        static constexpr decltype(auto) apply(Xs&& xs)
        { return hana::unpack(static_cast<Xs&&>(xs), hana::make<S>); }
    };
}}
# 17 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/div.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/div.hpp"
namespace boost { namespace hana {
# 47 "/us/include/boost_1_64_0/boost/hana/fwd/div.hpp"
    template <typename T, typename U, typename = void>
    struct div_impl : div_impl<T, U, when<true>> { };

    struct div_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr div_t div{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/minus.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/minus.hpp"
namespace boost { namespace hana {
# 55 "/us/include/boost_1_64_0/boost/hana/fwd/minus.hpp"
    template <typename T, typename U, typename = void>
    struct minus_impl : minus_impl<T, U, when<true>> { };

    struct minus_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr minus_t minus{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/mod.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/mod.hpp"
namespace boost { namespace hana {
# 50 "/us/include/boost_1_64_0/boost/hana/fwd/mod.hpp"
    template <typename T, typename U, typename = void>
    struct mod_impl : mod_impl<T, U, when<true>> { };

    struct mod_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr mod_t mod{};

}}
# 17 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/mult.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/mult.hpp"
namespace boost { namespace hana {
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/mult.hpp"
    template <typename T, typename U, typename = void>
    struct mult_impl : mult_impl<T, U, when<true>> { };

    struct mult_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr mult_t mult{};

}}
# 18 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/negate.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/negate.hpp"
namespace boost { namespace hana {
# 30 "/us/include/boost_1_64_0/boost/hana/fwd/negate.hpp"
    template <typename G, typename = void>
    struct negate_impl : negate_impl<G, when<true>> { };

    struct negate_t {
        template <typename X>
        constexpr decltype(auto) operator()(X&& x) const;
    };

    constexpr negate_t negate{};

}}
# 19 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/plus.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/plus.hpp"
namespace boost { namespace hana {
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/plus.hpp"
    template <typename T, typename U, typename = void>
    struct plus_impl : plus_impl<T, U, when<true>> { };

    struct plus_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;
    };

    constexpr plus_t plus{};

}}
# 20 "/us/include/boost_1_64_0/boost/hana/detail/operators/arithmetic.hpp" 2





namespace boost { namespace hana { namespace detail {
    template <typename Tag>
    struct arithmetic_operators {
        static constexpr bool value = false;
    };

    namespace operators {
        template <typename X, typename Y, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value ||
            detail::arithmetic_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator+(X&& x, Y&& y)
        { return hana::plus(static_cast<X&&>(x), static_cast<Y&&>(y)); }


        template <typename X, typename Y, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value ||
            detail::arithmetic_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator-(X&& x, Y&& y)
        { return hana::minus(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value
        >::type>
        constexpr auto operator-(X&& x)
        { return hana::negate(static_cast<X&&>(x)); }


        template <typename X, typename Y, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value ||
            detail::arithmetic_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator*(X&& x, Y&& y)
        { return hana::mult(static_cast<X&&>(x), static_cast<Y&&>(y)); }


        template <typename X, typename Y, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value ||
            detail::arithmetic_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator/(X&& x, Y&& y)
        { return hana::div(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::arithmetic_operators<typename hana::tag_of<X>::type>::value ||
            detail::arithmetic_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator%(X&& x, Y&& y)
        { return hana::mod(static_cast<X&&>(x), static_cast<Y&&>(y)); }
    }
} }}
# 19 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/logical.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/logical.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/and.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/and.hpp"
namespace boost { namespace hana {
# 38 "/us/include/boost_1_64_0/boost/hana/fwd/and.hpp"
    template <typename L, typename = void>
    struct and_impl : and_impl<L, when<true>> { };

    struct and_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;

        template <typename X, typename ...Y>
        constexpr decltype(auto) operator()(X&& x, Y&& ...y) const;
    };

    constexpr and_t and_{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/logical.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/not.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/not.hpp"
namespace boost { namespace hana {
# 35 "/us/include/boost_1_64_0/boost/hana/fwd/not.hpp"
    template <typename L, typename = void>
    struct not_impl : not_impl<L, when<true>> { };

    struct not_t {
        template <typename X>
        constexpr decltype(auto) operator()(X&& x) const;
    };

    constexpr not_t not_{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/detail/operators/logical.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/or.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/or.hpp"
namespace boost { namespace hana {
# 38 "/us/include/boost_1_64_0/boost/hana/fwd/or.hpp"
    template <typename L, typename = void>
    struct or_impl : or_impl<L, when<true>> { };

    struct or_t {
        template <typename X, typename Y>
        constexpr decltype(auto) operator()(X&& x, Y&& y) const;

        template <typename X, typename ...Y>
        constexpr decltype(auto) operator()(X&& x, Y&& ...y) const;
    };

    constexpr or_t or_{};

}}
# 17 "/us/include/boost_1_64_0/boost/hana/detail/operators/logical.hpp" 2





namespace boost { namespace hana { namespace detail {
    template <typename Tag>
    struct logical_operators {
        static constexpr bool value = false;
    };

    namespace operators {
        template <typename X, typename Y, typename = typename std::enable_if<
            detail::logical_operators<typename hana::tag_of<X>::type>::value ||
            detail::logical_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator||(X&& x, Y&& y)
        { return hana::or_(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename Y, typename = typename std::enable_if<
            detail::logical_operators<typename hana::tag_of<X>::type>::value ||
            detail::logical_operators<typename hana::tag_of<Y>::type>::value
        >::type>
        constexpr auto operator&&(X&& x, Y&& y)
        { return hana::and_(static_cast<X&&>(x), static_cast<Y&&>(y)); }

        template <typename X, typename = typename std::enable_if<
            detail::logical_operators<typename hana::tag_of<X>::type>::value
        >::type>
        constexpr auto operator!(X&& x)
        { return hana::not_(static_cast<X&&>(x)); }
    }
} }}
# 21 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/eval.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/eval.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/eval.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/eval.hpp"
namespace boost { namespace hana {
# 46 "/us/include/boost_1_64_0/boost/hana/fwd/eval.hpp"
    template <typename T, typename = void>
    struct eval_impl : eval_impl<T, when<true>> { };

    struct eval_t {
        template <typename Expr>
        constexpr decltype(auto) operator()(Expr&& expr) const;
    };

    constexpr eval_t eval{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/eval.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/functional/id.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/functional/id.hpp"
namespace boost { namespace hana {
# 27 "/us/include/boost_1_64_0/boost/hana/functional/id.hpp"
    struct id_t {
        template <typename T>
        constexpr T operator()(T&& t) const {
            return static_cast<T&&>(t);
        }
    };

    constexpr id_t id{};

}}
# 18 "/us/include/boost_1_64_0/boost/hana/eval.hpp" 2



namespace boost { namespace hana {

    template <typename Expr>
    constexpr decltype(auto) eval_t::operator()(Expr&& expr) const {
        return eval_impl<typename hana::tag_of<Expr>::type>::apply(
            static_cast<Expr&&>(expr)
        );
    }


    template <typename T, bool condition>
    struct eval_impl<T, when<condition>> : default_ {
        template <typename Expr>
        static constexpr auto eval_helper(Expr&& expr, int)
            -> decltype(static_cast<Expr&&>(expr)())
        { return static_cast<Expr&&>(expr)(); }

        template <typename Expr>
        static constexpr auto eval_helper(Expr&& expr, long)
            -> decltype(static_cast<Expr&&>(expr)(hana::id))
        { return static_cast<Expr&&>(expr)(hana::id); }

        template <typename Expr>
        static constexpr auto eval_helper(Expr&&, ...) {
            static_assert(detail::wrong<Expr>{},
            "hana::eval(expr) requires the expression to be a hana::lazy, "
            "a nullary Callable or a unary Callable that may be "
            "called with hana::id");
        }

        template <typename Expr>
        static constexpr decltype(auto) apply(Expr&& expr)
        { return eval_helper(static_cast<Expr&&>(expr), int{}); }
    };
}}
# 23 "/us/include/boost_1_64_0/boost/hana/bool.hpp" 2
# 34 "/us/include/boost_1_64_0/boost/hana/bool.hpp"
namespace boost { namespace hana {




    namespace ic_detail {
        template <typename T, T N, typename = std::make_integer_sequence<T, N>>
        struct go;

        template <typename T, T N, T ...i>
        struct go<T, N, std::integer_sequence<T, i...>> {
            using swallow = T[];

            template <typename F>
            static constexpr void with_index(F&& f)
            { (void)swallow{T{}, ((void)f(integral_constant<T, i>{}), i)...}; }

            template <typename F>
            static constexpr void without_index(F&& f)
            { (void)swallow{T{}, ((void)f(), i)...}; }
        };

        template <typename T, T v>
        template <typename F>
        constexpr void with_index_t<T, v>::operator()(F&& f) const
        { go<T, ((void)sizeof(&f), v)>::with_index(static_cast<F&&>(f)); }

        template <typename T, T v>
        template <typename F>
        constexpr void times_t<T, v>::operator()(F&& f) const
        { go<T, ((void)sizeof(&f), v)>::without_index(static_cast<F&&>(f)); }


        template <typename T, T v>
        constexpr with_index_t<T, v> times_t<T, v>::with_index;
    }


    template <typename T, T v>
    constexpr ic_detail::times_t<T, v> integral_constant<T, v>::times;

    template <typename T, T v>
    struct tag_of<integral_constant<T, v>> {
        using type = integral_constant_tag<T>;
    };





    namespace detail {
        template <typename T>
        struct comparable_operators<integral_constant_tag<T>> {
            static constexpr bool value = true;
        };
        template <typename T>
        struct orderable_operators<integral_constant_tag<T>> {
            static constexpr bool value = true;
        };
        template <typename T>
        struct arithmetic_operators<integral_constant_tag<T>> {
            static constexpr bool value = true;
        };
        template <typename T>
        struct logical_operators<integral_constant_tag<T>> {
            static constexpr bool value = true;
        };
    }
# 118 "/us/include/boost_1_64_0/boost/hana/bool.hpp"
    template <typename U, U u> constexpr integral_constant<decltype(+ u), (+ u)> operator +(integral_constant<U, u>) { return {}; }


    template <typename U, U u> constexpr integral_constant<decltype(~ u), (~ u)> operator ~(integral_constant<U, u>) { return {}; }
    template <typename U, U u, typename V, V v> constexpr integral_constant<decltype(u & v), (u & v)> operator &(integral_constant<U, u>, integral_constant<V, v>) { return {}; }
    template <typename U, U u, typename V, V v> constexpr integral_constant<decltype(u | v), (u | v)> operator |(integral_constant<U, u>, integral_constant<V, v>) { return {}; }
    template <typename U, U u, typename V, V v> constexpr integral_constant<decltype(u ^ v), (u ^ v)> operator ^(integral_constant<U, u>, integral_constant<V, v>) { return {}; }
    template <typename U, U u, typename V, V v> constexpr integral_constant<decltype(u << v), (u << v)> operator <<(integral_constant<U, u>, integral_constant<V, v>) { return {}; }
    template <typename U, U u, typename V, V v> constexpr integral_constant<decltype(u >> v), (u >> v)> operator >>(integral_constant<U, u>, integral_constant<V, v>) { return {}; }
# 135 "/us/include/boost_1_64_0/boost/hana/bool.hpp"
    namespace ic_detail {

        constexpr int to_int(char c) {
            int result = 0;

            if (c >= 'A' && c <= 'F') {
                result = static_cast<int>(c) - static_cast<int>('A') + 10;
            }
            else if (c >= 'a' && c <= 'f') {
                result = static_cast<int>(c) - static_cast<int>('a') + 10;
            }
            else {
                result = static_cast<int>(c) - static_cast<int>('0');
            }

            return result;
        }

        template<std::size_t N>
        constexpr long long parse(const char (&arr)[N]) {
            long long base = 10;
            std::size_t offset = 0;

            if (N > 2) {
                bool starts_with_zero = arr[0] == '0';
                bool is_hex = starts_with_zero && arr[1] == 'x';
                bool is_binary = starts_with_zero && arr[1] == 'b';

                if (is_hex) {

                    base = 16;
                    offset = 2;
                }
                else if (is_binary) {

                    base = 2;
                    offset = 2;
                }
                else if (starts_with_zero) {

                    base = 8;
                    offset = 1;
                }
            }

            long long number = 0;
            long long multiplier = 1;

            for (std::size_t i = 0; i < N - offset; ++i) {
                char c = arr[N - 1 - i];
                number += to_int(c) * multiplier;
                multiplier *= base;
            }

            return number;
        }
    }

    namespace literals {
        template <char ...c>
        constexpr auto operator"" _c() {
            return hana::llong<ic_detail::parse<sizeof...(c)>({c...})>{};
        }
    }




    template <typename T>
    struct IntegralConstant<integral_constant_tag<T>> {
        static constexpr bool value = true;
    };

    template <typename T, typename C>
    struct to_impl<integral_constant_tag<T>, C, when<hana::IntegralConstant<C>::value>>
        : embedding<is_embedded<typename C::value_type, T>::value>
    {
        template <typename N>
        static constexpr auto apply(N const&)
        { return integral_constant<T, N::value>{}; }
    };




    template <typename T>
    struct eval_if_impl<integral_constant_tag<T>> {
        template <typename Cond, typename Then, typename Else>
        static constexpr decltype(auto)
        apply(Cond const&, Then&& t, Else&& e) {
            constexpr bool cond = static_cast<bool>(Cond::value);
            return eval_if_impl::apply(hana::bool_<cond>{},
                                       static_cast<Then&&>(t),
                                       static_cast<Else&&>(e));
        }

        template <typename Then, typename Else>
        static constexpr decltype(auto)
        apply(hana::true_ const&, Then&& t, Else&&)
        { return hana::eval(static_cast<Then&&>(t)); }

        template <typename Then, typename Else>
        static constexpr decltype(auto)
        apply(hana::false_ const&, Then&&, Else&& e)
        { return hana::eval(static_cast<Else&&>(e)); }
    };

    template <typename T>
    struct if_impl<integral_constant_tag<T>> {
        template <typename Cond, typename Then, typename Else>
        static constexpr decltype(auto)
        apply(Cond const&, Then&& t, Else&& e) {
            constexpr bool cond = static_cast<bool>(Cond::value);
            return if_impl::apply(hana::bool_<cond>{},
                                  static_cast<Then&&>(t),
                                  static_cast<Else&&>(e));
        }





        template <typename Then, typename Else>
        static constexpr auto
        apply(hana::true_ const&, Then&& t, Else&&)
        { return static_cast<Then&&>(t); }

        template <typename Then, typename Else>
        static constexpr auto
        apply(hana::false_ const&, Then&&, Else&& e)
        { return static_cast<Else&&>(e); }
    };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/if.hpp" 1
# 21 "/us/include/boost_1_64_0/boost/hana/eval_if.hpp" 2





namespace boost { namespace hana {

    template <typename Cond, typename Then, typename Else>
    constexpr decltype(auto) eval_if_t::operator()(Cond&& cond, Then&& then_, Else&& else_) const {
        using Bool = typename hana::tag_of<Cond>::type;
        using EvalIf = ::std::conditional_t< (hana::Logical<Bool>::value), eval_if_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::eval_if(cond, then, else) requires 'cond' to be a Logical");


        return EvalIf::apply(static_cast<Cond&&>(cond),
                             static_cast<Then&&>(then_),
                             static_cast<Else&&>(else_));
    }


    template <typename L, bool condition>
    struct eval_if_impl<L, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };




    template <typename L>
    struct eval_if_impl<L, when<std::is_arithmetic<L>::value>> {
        template <typename Cond, typename T, typename E>
        static constexpr auto apply(Cond const& cond, T&& t, E&& e) {
            return cond ? hana::eval(static_cast<T&&>(t))
                        : hana::eval(static_cast<E&&>(e));
        }
    };




    template <typename C>
    struct eval_if_impl<C, when<
        hana::Constant<C>::value &&
        Logical<typename C::value_type>::value
    >> {
        template <typename Then, typename Else>
        static constexpr decltype(auto)
        eval_if_helper(hana::true_, Then&& t, Else&&)
        { return hana::eval(static_cast<Then&&>(t)); }

        template <typename Then, typename Else>
        static constexpr decltype(auto)
        eval_if_helper(hana::false_, Then&&, Else&& e)
        { return hana::eval(static_cast<Else&&>(e)); }

        template <typename Cond, typename Then, typename Else>
        static constexpr decltype(auto) apply(Cond const&, Then&& t, Else&& e) {
            constexpr auto cond = hana::value<Cond>();
            constexpr bool truth_value = hana::if_(cond, true, false);
            return eval_if_helper(hana::bool_<truth_value>{},
                                  static_cast<Then&&>(t),
                                  static_cast<Else&&>(e));
        }
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/not.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/not.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/not.hpp" 2
# 25 "/us/include/boost_1_64_0/boost/hana/not.hpp"
namespace boost { namespace hana {

    template <typename X>
    constexpr decltype(auto) not_t::operator()(X&& x) const {
        using Bool = typename hana::tag_of<X>::type;
        using Not = ::std::conditional_t< (hana::Logical<Bool>::value), hana::not_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::not_(cond) requires 'cond' to be a Logical");


        return Not::apply(static_cast<X&&>(x));
    }


    template <typename L, bool condition>
    struct not_impl<L, when<condition>> : hana::default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    template <typename L>
    struct not_impl<L, hana::when<std::is_arithmetic<L>::value>> {
        template <typename Cond>
        static constexpr Cond apply(Cond const& cond)
        { return static_cast<Cond>(cond ? false : true); }
    };

    namespace detail {
        template <typename C, typename X>
        struct constant_from_not {
            static constexpr auto value = hana::not_(hana::value<X>());
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct not_impl<C, hana::when<
        hana::Constant<C>::value &&
        hana::Logical<typename C::value_type>::value
    >> {
        template <typename Cond>
        static constexpr auto apply(Cond const&)
        { return hana::to<C>(detail::constant_from_not<C, Cond>{}); }
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/while.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/while.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/while.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/while.hpp"
namespace boost { namespace hana {
# 59 "/us/include/boost_1_64_0/boost/hana/fwd/while.hpp"
    template <typename L, typename = void>
    struct while_impl : while_impl<L, when<true>> { };

    struct while_t {
        template <typename Pred, typename State, typename F>
        constexpr decltype(auto) operator()(Pred&& pred, State&& state, F&& f) const;
    };

    constexpr while_t while_{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/while.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/while.hpp" 2
# 27 "/us/include/boost_1_64_0/boost/hana/while.hpp"
namespace boost { namespace hana {

    template <typename Pred, typename State, typename F>
    constexpr decltype(auto) while_t::operator()(Pred&& pred, State&& state, F&& f) const {
        using Cond = decltype(pred(state));
        using Bool = typename hana::tag_of<Cond>::type;
        using While = ::std::conditional_t< (hana::Logical<Bool>::value), while_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::while_(pred, state, f) requires 'pred(state)' to be a Logical");


        return While::apply(static_cast<Pred&&>(pred),
                            static_cast<State&&>(state),
                            static_cast<F&&>(f));
    }


    template <typename L, bool condition>
    struct while_impl<L, hana::when<condition>> : hana::default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    template <typename L>
    struct while_impl<L, hana::when<std::is_arithmetic<L>::value>> {
        template <typename Pred, typename State, typename F>
        static auto apply(Pred&& pred, State&& state, F&& f)
            -> decltype(
                true ? f(static_cast<State&&>(state))
                     : static_cast<State&&>(state)
            )
        {
            if (pred(state)) {
                decltype(auto) r = f(static_cast<State&&>(state));
                return hana::while_(static_cast<Pred&&>(pred),
                                    static_cast<decltype(r)&&>(r),
                                    static_cast<F&&>(f));
            }
            else {
                return static_cast<State&&>(state);
            }
        }
    };

    template <typename C>
    struct while_impl<C, hana::when<
        hana::Constant<C>::value &&
        hana::Logical<typename C::value_type>::value
    >> {
        template <typename Pred, typename State, typename F>
        static constexpr State
        while_helper(hana::false_, Pred&&, State&& state, F&&) {
            return static_cast<State&&>(state);
        }

        template <typename Pred, typename State, typename F>
        static constexpr decltype(auto)
        while_helper(hana::true_, Pred&& pred, State&& state, F&& f) {
            decltype(auto) r = f(static_cast<State&&>(state));
            return hana::while_(static_cast<Pred&&>(pred),
                                static_cast<decltype(r)&&>(r),
                                static_cast<F&&>(f));
        }

        template <typename Pred, typename State, typename F>
        static constexpr decltype(auto)
        apply(Pred&& pred, State&& state, F&& f) {
# 106 "/us/include/boost_1_64_0/boost/hana/while.hpp"
            auto cond_ = pred(state);
            constexpr auto cond = hana::value(cond_);
            constexpr bool truth_value = hana::if_(cond, true, false);
            return while_helper(hana::bool_c<truth_value>,
                                static_cast<Pred&&>(pred),
                                static_cast<State&&>(state),
                                static_cast<F&&>(f));
        }
    };
}}
# 21 "/us/include/boost_1_64_0/boost/hana/concept/logical.hpp" 2



namespace boost { namespace hana {
    template <typename L>
    struct Logical
        : hana::integral_constant<bool,
            !is_default<eval_if_impl<typename tag_of<L>::type>>::value &&
            !is_default<not_impl<typename tag_of<L>::type>>::value &&
            !is_default<while_impl<typename tag_of<L>::type>>::value
        >
    { };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/if.hpp" 2






namespace boost { namespace hana {

    template <typename Cond, typename Then, typename Else>
    constexpr decltype(auto) if_t::operator()(Cond&& cond, Then&& then_, Else&& else_) const {
        using Bool = typename hana::tag_of<Cond>::type;
        using If = ::std::conditional_t< (hana::Logical<Bool>::value), if_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::if_(cond, then, else) requires 'cond' to be a Logical");


        return If::apply(static_cast<Cond&&>(cond),
                         static_cast<Then&&>(then_),
                         static_cast<Else&&>(else_));
    }


    namespace detail {
        template <typename T>
        struct hold {
            T value;
            constexpr T&& operator()() && { return static_cast<T&&>(value); }
        };
    }

    template <typename L, bool condition>
    struct if_impl<L, when<condition>> : default_ {
        template <typename C, typename T, typename E>
        static constexpr auto apply(C&& c, T&& t, E&& e) {
            return hana::eval_if(static_cast<C&&>(c),
                detail::hold<T&&>{static_cast<T&&>(t)},
                detail::hold<E&&>{static_cast<E&&>(e)}
            );
        }
    };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 2



# 1 "/usr/include/c++/5.2.0/cstdio" 1
# 40 "/usr/include/c++/5.2.0/cstdio" 3


# 1 "/usr/include/stdio.h" 1 3 4
# 29 "/usr/include/stdio.h" 3 4
extern "C" {




# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3 4
# 34 "/usr/include/stdio.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;
# 121 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
# 122 "/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 __quad_t *__qaddr_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;
# 36 "/usr/include/stdio.h" 2 3 4








struct _IO_FILE;



typedef struct _IO_FILE FILE;
# 64 "/usr/include/stdio.h" 3 4
typedef struct _IO_FILE __FILE;
# 74 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/libio.h" 1 3 4
# 31 "/usr/include/libio.h" 3 4
# 1 "/usr/include/_G_config.h" 1 3 4
# 15 "/usr/include/_G_config.h" 3 4
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3 4
# 16 "/usr/include/_G_config.h" 2 3 4




# 1 "/usr/include/wchar.h" 1 3 4
# 82 "/usr/include/wchar.h" 3 4
typedef struct
{
  int __count;
  union
  {

    unsigned int __wch;



    char __wchb[4];
  } __value;
} __mbstate_t;
# 21 "/usr/include/_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;
# 32 "/usr/include/libio.h" 2 3 4
# 49 "/usr/include/libio.h" 3 4
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stdarg.h" 1 3 4
# 30 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stdarg.h" 3 4
typedef __builtin_va_list va_list;
# 48 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 50 "/usr/include/libio.h" 2 3 4
# 144 "/usr/include/libio.h" 3 4
struct _IO_jump_t; struct _IO_FILE;
# 154 "/usr/include/libio.h" 3 4
typedef void _IO_lock_t;





struct _IO_marker {
  struct _IO_marker *_next;
  struct _IO_FILE *_sbuf;



  int _pos;
# 177 "/usr/include/libio.h" 3 4
};


enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
# 245 "/usr/include/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/libio.h" 3 4
  __off64_t _offset;
# 302 "/usr/include/libio.h" 3 4
  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_;
# 338 "/usr/include/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);
# 434 "/usr/include/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 ();
# 464 "/usr/include/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 ();
# 526 "/usr/include/libio.h" 3 4
}
# 75 "/usr/include/stdio.h" 2 3 4




typedef __gnuc_va_list va_list;
# 90 "/usr/include/stdio.h" 3 4
typedef __off_t off_t;






typedef __off64_t off64_t;




typedef __ssize_t ssize_t;







typedef _G_fpos_t fpos_t;





typedef _G_fpos64_t fpos64_t;
# 164 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 1 3 4
# 165 "/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 ();
# 195 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile (void) ;
# 205 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void) ;



extern char *tmpnam (char *__s) throw () ;





extern char *tmpnam_r (char *__s) throw () ;
# 227 "/usr/include/stdio.h" 3 4
extern char *tempnam (const char *__dir, const char *__pfx)
     throw () __attribute__ ((__malloc__)) ;
# 237 "/usr/include/stdio.h" 3 4
extern int fclose (FILE *__stream);




extern int fflush (FILE *__stream);
# 252 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 262 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);
# 272 "/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) ;
# 297 "/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 ();
# 356 "/usr/include/stdio.h" 3 4
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)));
# 425 "/usr/include/stdio.h" 3 4
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 ();
# 471 "/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)));
# 531 "/usr/include/stdio.h" 3 4
extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);





extern int getchar (void);
# 550 "/usr/include/stdio.h" 3 4
extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
# 561 "/usr/include/stdio.h" 3 4
extern int fgetc_unlocked (FILE *__stream);
# 573 "/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);
# 594 "/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);
# 622 "/usr/include/stdio.h" 3 4
extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
          ;
# 649 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream) ;
# 665 "/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) ;
# 689 "/usr/include/stdio.h" 3 4
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);
# 726 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream);
# 737 "/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);
# 749 "/usr/include/stdio.h" 3 4
extern int fseek (FILE *__stream, long int __off, int __whence);




extern long int ftell (FILE *__stream) ;




extern void rewind (FILE *__stream);
# 773 "/usr/include/stdio.h" 3 4
extern int fseeko (FILE *__stream, __off_t __off, int __whence);




extern __off_t ftello (FILE *__stream) ;
# 798 "/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);
# 818 "/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 () ;
# 846 "/usr/include/stdio.h" 3 4
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[];
# 854 "/usr/include/stdio.h" 2 3 4




extern int fileno (FILE *__stream) throw () ;




extern int fileno_unlocked (FILE *__stream) throw () ;
# 873 "/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 ();
# 943 "/usr/include/stdio.h" 3 4
}
# 43 "/usr/include/c++/5.2.0/cstdio" 2 3
# 96 "/usr/include/c++/5.2.0/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 ::ungetc;
  using ::vfprintf;
  using ::vprintf;
  using ::vsprintf;
}
# 157 "/usr/include/c++/5.2.0/cstdio" 3
namespace __gnu_cxx
{
# 175 "/usr/include/c++/5.2.0/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;
}
# 19 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 2

# 1 "/usr/include/c++/5.2.0/cstdlib" 1
# 40 "/usr/include/c++/5.2.0/cstdlib" 3
# 72 "/usr/include/c++/5.2.0/cstdlib" 3
# 1 "/usr/include/stdlib.h" 1 3 4
# 32 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3 4
# 33 "/usr/include/stdlib.h" 2 3 4

extern "C" {







# 1 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 1 3 4
# 50 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 3 4
typedef enum
{
  P_ALL,
  P_PID,
  P_PGID
} idtype_t;
# 42 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 1 3 4
# 64 "/usr/include/x86_64-linux-gnu/bits/waitstatus.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
# 61 "/usr/include/endian.h" 2 3 4
# 65 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 2 3 4

union wait
  {
    int w_status;
    struct
      {

 unsigned int __w_termsig:7;
 unsigned int __w_coredump:1;
 unsigned int __w_retcode:8;
 unsigned int:16;







      } __wait_terminated;
    struct
      {

 unsigned int __w_stopval:8;
 unsigned int __w_stopsig:8;
 unsigned int:16;






      } __wait_stopped;
  };
# 43 "/usr/include/stdlib.h" 2 3 4
# 97 "/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;
# 139 "/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)));





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)));
# 235 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/xlocale.h" 1 3 4
# 27 "/usr/include/xlocale.h" 3 4
typedef struct __locale_struct
{

  struct __locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
} *__locale_t;


typedef __locale_t locale_t;
# 236 "/usr/include/stdlib.h" 2 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)));
# 305 "/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;
# 98 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __pid_t pid_t;





typedef __id_t id_t;
# 115 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;
# 132 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
# 1 "/usr/include/time.h" 1 3 4
# 59 "/usr/include/time.h" 3 4
typedef __clock_t clock_t;
# 75 "/usr/include/time.h" 3 4
typedef __time_t time_t;
# 91 "/usr/include/time.h" 3 4
typedef __clockid_t clockid_t;
# 103 "/usr/include/time.h" 3 4
typedef __timer_t timer_t;
# 133 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;






# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3 4
# 147 "/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;
# 194 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef int int8_t __attribute__ ((__mode__ (__QI__)));
typedef int int16_t __attribute__ ((__mode__ (__HI__)));
typedef int int32_t __attribute__ ((__mode__ (__SI__)));
typedef int int64_t __attribute__ ((__mode__ (__DI__)));


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__)));
# 219 "/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/sigset.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/sigset.h" 3 4
typedef int __sig_atomic_t;




typedef struct
  {
    unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
  } __sigset_t;
# 34 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4



typedef __sigset_t sigset_t;






# 1 "/usr/include/time.h" 1 3 4
# 120 "/usr/include/time.h" 3 4
struct timespec
  {
    __time_t tv_sec;
    __syscall_slong_t tv_nsec;
  };
# 44 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/time.h" 1 3 4
# 30 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
struct timeval
  {
    __time_t tv_sec;
    __suseconds_t tv_usec;
  };
# 46 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4








typedef long int __fd_mask;
# 64 "/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;
# 96 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern "C" {
# 106 "/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);
# 118 "/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);
# 131 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
}
# 220 "/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
# 24 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
extern "C" {

__extension__
extern unsigned int gnu_dev_major (unsigned long long int __dev)
     throw () __attribute__ ((__const__));
__extension__
extern unsigned int gnu_dev_minor (unsigned long long int __dev)
     throw () __attribute__ ((__const__));
__extension__
extern unsigned long long int gnu_dev_makedev (unsigned int __major,
            unsigned int __minor)
     throw () __attribute__ ((__const__));
# 58 "/usr/include/x86_64-linux-gnu/sys/sysmacros.h" 3 4
}
# 223 "/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;
# 262 "/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
# 21 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.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.h" 2 3 4
# 60 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
typedef unsigned long int pthread_t;


union pthread_attr_t
{
  char __size[56];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;





typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
# 90 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
typedef union
{
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;

    unsigned int __nusers;



    int __kind;

    short __spins;
    short __elision;
    __pthread_list_t __list;
# 124 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
  } __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;

typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  struct
  {
    int __lock;
    unsigned int __futex;
    __extension__ unsigned long long int __total_seq;
    __extension__ unsigned long long int __wakeup_seq;
    __extension__ unsigned long long int __woken_seq;
    void *__mutex;
    unsigned int __nwaiters;
    unsigned int __broadcast_seq;
  } __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;

typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;





typedef union
{

  struct
  {
    int __lock;
    unsigned int __nr_readers;
    unsigned int __readers_wakeup;
    unsigned int __writer_wakeup;
    unsigned int __nr_readers_queued;
    unsigned int __nr_writers_queued;
    int __writer;
    int __shared;
    unsigned long int __pad1;
    unsigned long int __pad2;


    unsigned int __flags;

  } __data;
# 211 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
  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;
# 271 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4


}
# 315 "/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)));
# 466 "/usr/include/stdlib.h" 3 4
extern void *malloc (size_t __size) throw () __attribute__ ((__malloc__)) ;

extern void *calloc (size_t __nmemb, size_t __size)
     throw () __attribute__ ((__malloc__)) ;
# 480 "/usr/include/stdlib.h" 3 4
extern void *realloc (void *__ptr, size_t __size)
     throw () __attribute__ ((__warn_unused_result__));

extern void free (void *__ptr) throw ();




extern void cfree (void *__ptr) throw ();




# 1 "/usr/include/alloca.h" 1 3 4
# 24 "/usr/include/alloca.h" 3 4
# 1 "/usr/include/clang-4053586/lib64/clang/5.0.300080/include/stddef.h" 1 3 4
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) throw ();





}
# 493 "/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__)) ;




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)));
# 535 "/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 ();
# 606 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) throw () __attribute__ ((__nonnull__ (1)));
# 620 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 630 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 642 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 652 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 663 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) throw () __attribute__ ((__nonnull__ (1))) ;
# 674 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 684 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 694 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 706 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 717 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;






extern char *canonicalize_file_name (const char *__name)
     throw () __attribute__ ((__nonnull__ (1))) ;
# 734 "/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__)) ;
# 812 "/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 ();
# 888 "/usr/include/stdlib.h" 3 4
extern int rpmatch (const char *__response) throw () __attribute__ ((__nonnull__ (1))) ;
# 899 "/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)));



# 1 "/usr/include/x86_64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 956 "/usr/include/stdlib.h" 2 3 4
# 968 "/usr/include/stdlib.h" 3 4
}
# 73 "/usr/include/c++/5.2.0/cstdlib" 2 3
# 114 "/usr/include/c++/5.2.0/cstdlib" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;
  using ::abs;
  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 long
  abs(long __i) { return __builtin_labs(__i); }

  inline ldiv_t
  div(long __i, long __j) { return ldiv(__i, __j); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }
# 196 "/usr/include/c++/5.2.0/cstdlib" 3
}
# 209 "/usr/include/c++/5.2.0/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;
# 241 "/usr/include/c++/5.2.0/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;
}
# 20 "/us/include/boost_1_64_0/boost/hana/assert.hpp" 2
# 16 "test.cpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/equal.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/all_of.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/all_of.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/all_of.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/all_of.hpp"
namespace boost { namespace hana {
# 42 "/us/include/boost_1_64_0/boost/hana/fwd/all_of.hpp"
    template <typename S, typename = void>
    struct all_of_impl : all_of_impl<S, when<true>> { };

    struct all_of_t {
        template <typename Xs, typename Pred>
        constexpr auto operator()(Xs&& xs, Pred&& pred) const;
    };

    constexpr all_of_t all_of{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/all_of.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/any_of.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/any_of.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/any_of.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/any_of.hpp"
namespace boost { namespace hana {
# 41 "/us/include/boost_1_64_0/boost/hana/fwd/any_of.hpp"
    template <typename S, typename = void>
    struct any_of_impl : any_of_impl<S, when<true>> { };

    struct any_of_t {
        template <typename Xs, typename Pred>
        constexpr auto operator()(Xs&& xs, Pred&& pred) const;
    };

    constexpr any_of_t any_of{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/any_of.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/searchable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/searchable.hpp"
namespace boost { namespace hana {
# 139 "/us/include/boost_1_64_0/boost/hana/fwd/concept/searchable.hpp"
    template <typename S>
    struct Searchable;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/any_of.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/find_if.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/find_if.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/find_if.hpp"
namespace boost { namespace hana {
# 45 "/us/include/boost_1_64_0/boost/hana/fwd/find_if.hpp"
    template <typename S, typename = void>
    struct find_if_impl : find_if_impl<S, when<true>> { };

    struct find_if_t {
        template <typename Xs, typename Pred>
        constexpr auto operator()(Xs&& xs, Pred&& pred) const;
    };

    constexpr find_if_t find_if{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/drop_while.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/drop_while.hpp"
namespace boost { namespace hana {
# 48 "/us/include/boost_1_64_0/boost/hana/fwd/drop_while.hpp"
    template <typename It, typename = void>
    struct drop_while_impl : drop_while_impl<It, when<true>> { };

    struct drop_while_t {
        template <typename Xs, typename Pred>
        constexpr auto operator()(Xs&& xs, Pred&& pred) const;
    };

    constexpr drop_while_t drop_while{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/detail/first_unsatisfied_index.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/detail/first_unsatisfied_index.hpp"
namespace boost { namespace hana { namespace detail {
    template <bool, typename Pred, typename ...Xs>
    struct find_tail_size;

    template <typename Pred, typename X, typename ...Xs>
    struct find_tail_size<true, Pred, X, Xs...> {
        static constexpr int value = find_tail_size<
            static_cast<bool>(hana::value<decltype(std::declval<Pred>()(std::declval<X>()))>()),
            Pred, Xs...
        >::value;
    };

    template <typename Pred>
    struct find_tail_size<true, Pred> {
        static constexpr int value = -1;
    };

    template <typename Pred, typename ...Xs>
    struct find_tail_size<false, Pred, Xs...> {
        static constexpr int value = sizeof...(Xs);
    };




    template <typename Pred>
    struct first_unsatisfied_index {
        template <typename ...Xs>
        constexpr auto operator()(Xs&& ...) const {
            return hana::size_c<
                sizeof...(Xs) - 1 - find_tail_size<true, Pred, Xs&&...>::value
            >;
        }
    };
} }}
# 19 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/front.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/front.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/front.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/front.hpp"
namespace boost { namespace hana {
# 36 "/us/include/boost_1_64_0/boost/hana/fwd/front.hpp"
    template <typename It, typename = void>
    struct front_impl : front_impl<It, when<true>> { };

    struct front_t {
        template <typename Xs>
        constexpr decltype(auto) operator()(Xs&& xs) const;
    };

    constexpr front_t front{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/front.hpp" 2








namespace boost { namespace hana {

    template <typename Xs>
    constexpr decltype(auto) front_t::operator()(Xs&& xs) const {
        using It = typename hana::tag_of<Xs>::type;
        using Front = ::std::conditional_t< (hana::Iterable<It>::value), front_impl<It>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Iterable<It>::value,
        "hana::front(xs) requires 'xs' to be an Iterable");


        return Front::apply(static_cast<Xs&&>(xs));
    }


    template <typename It, bool condition>
    struct front_impl<It, when<condition>> : default_ {
        template <typename Xs>
        static constexpr decltype(auto) apply(Xs&& xs)
        { return hana::at_c<0>(static_cast<Xs&&>(xs)); }
    };
}}
# 22 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/lazy.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/lazy.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/lazy.hpp"
namespace boost { namespace hana {
# 85 "/us/include/boost_1_64_0/boost/hana/fwd/lazy.hpp"
    struct lazy_tag { };
# 121 "/us/include/boost_1_64_0/boost/hana/fwd/lazy.hpp"
    constexpr auto make_lazy = make<lazy_tag>;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2







# 1 "/us/include/boost_1_64_0/boost/hana/detail/operators/monad.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/monad.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/chain.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/chain.hpp"
namespace boost { namespace hana {
# 55 "/us/include/boost_1_64_0/boost/hana/fwd/chain.hpp"
    template <typename M, typename = void>
    struct chain_impl : chain_impl<M, when<true>> { };

    struct chain_t {
        template <typename Xs, typename F>
        constexpr decltype(auto) operator()(Xs&& xs, F&& f) const;
    };

    constexpr chain_t chain{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/detail/operators/monad.hpp" 2





namespace boost { namespace hana { namespace detail {
    template <typename Tag>
    struct monad_operators {
        static constexpr bool value = false;
    };

    namespace operators {
        template <typename Xs, typename F, typename = typename std::enable_if<
            detail::monad_operators<typename hana::tag_of<Xs>::type>::value
        >::type>
        constexpr auto operator|(Xs&& xs, F&& f)
        { return hana::chain(static_cast<Xs&&>(xs), static_cast<F&&>(f)); }
    }
} }}
# 20 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/functional/apply.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/functional/apply.hpp"
namespace boost { namespace hana {
# 44 "/us/include/boost_1_64_0/boost/hana/functional/apply.hpp"
    struct apply_t {
        template <typename F, typename... Args>
        constexpr auto operator()(F&& f, Args&&... args) const ->
            decltype(static_cast<F&&>(f)(static_cast<Args&&>(args)...))
        {
            return static_cast<F&&>(f)(static_cast<Args&&>(args)...);
        }

        template <typename Base, typename T, typename Derived>
        constexpr auto operator()(T Base::*pmd, Derived&& ref) const ->
            decltype(static_cast<Derived&&>(ref).*pmd)
        {
            return static_cast<Derived&&>(ref).*pmd;
        }

        template <typename PMD, typename Pointer>
        constexpr auto operator()(PMD pmd, Pointer&& ptr) const ->
            decltype((*static_cast<Pointer&&>(ptr)).*pmd)
        {
            return (*static_cast<Pointer&&>(ptr)).*pmd;
        }

        template <typename Base, typename T, typename Derived, typename... Args>
        constexpr auto operator()(T Base::*pmf, Derived&& ref, Args&&... args) const ->
            decltype((static_cast<Derived&&>(ref).*pmf)(static_cast<Args&&>(args)...))
        {
            return (static_cast<Derived&&>(ref).*pmf)(static_cast<Args&&>(args)...);
        }

        template <typename PMF, typename Pointer, typename... Args>
        constexpr auto operator()(PMF pmf, Pointer&& ptr, Args&& ...args) const ->
            decltype(((*static_cast<Pointer&&>(ptr)).*pmf)(static_cast<Args&&>(args)...))
        {
            return ((*static_cast<Pointer&&>(ptr)).*pmf)(static_cast<Args&&>(args)...);
        }
    };

    constexpr apply_t apply{};

}}
# 21 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/functional/compose.hpp" 1
# 14 "/us/include/boost_1_64_0/boost/hana/functional/compose.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/create.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/detail/create.hpp"
namespace boost { namespace hana { namespace detail {



    template <template <typename ...> class T>
    struct create {
        template <typename ...X>
        constexpr T<typename detail::decay<X>::type...>
        operator()(X&& ...x) const {
            return T<typename detail::decay<X>::type...>{
                static_cast<X&&>(x)...
            };
        }
    };
} }}
# 14 "/us/include/boost_1_64_0/boost/hana/functional/compose.hpp" 2






namespace boost { namespace hana {
# 64 "/us/include/boost_1_64_0/boost/hana/functional/compose.hpp"
    template <typename F, typename G>
    struct _compose {
        F f; G g;

        template <typename X, typename ...Xs>
        constexpr decltype(auto) operator()(X&& x, Xs&& ...xs) const& {
            return f(
                g(static_cast<X&&>(x)),
                static_cast<Xs&&>(xs)...
            );
        }

        template <typename X, typename ...Xs>
        constexpr decltype(auto) operator()(X&& x, Xs&& ...xs) & {
            return f(
                g(static_cast<X&&>(x)),
                static_cast<Xs&&>(xs)...
            );
        }

        template <typename X, typename ...Xs>
        constexpr decltype(auto) operator()(X&& x, Xs&& ...xs) && {
            return std::move(f)(
                std::move(g)(static_cast<X&&>(x)),
                static_cast<Xs&&>(xs)...
            );
        }
    };

    struct _make_compose {
        template <typename F, typename G, typename ...H>
        constexpr decltype(auto) operator()(F&& f, G&& g, H&& ...h) const {
            return detail::variadic::foldl1(detail::create<_compose>{},
                static_cast<F&&>(f),
                static_cast<G&&>(g),
                static_cast<H&&>(h)...
            );
        }
    };

    constexpr _make_compose compose{};

}}
# 22 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/functional/on.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/functional/on.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/functional/infix.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/functional/infix.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/functional/reverse_partial.hpp" 1
# 21 "/us/include/boost_1_64_0/boost/hana/functional/reverse_partial.hpp"
namespace boost { namespace hana {
# 48 "/us/include/boost_1_64_0/boost/hana/functional/reverse_partial.hpp"
    template <typename Indices, typename F, typename ...X>
    struct reverse_partial_t;

    struct make_reverse_partial_t {
        struct secret { };
        template <typename F, typename ...X>
        constexpr reverse_partial_t<
            std::make_index_sequence<sizeof...(X)>,
            typename detail::decay<F>::type,
            typename detail::decay<X>::type...
        > operator()(F&& f, X&& ...x) const {
            return {secret{}, static_cast<F&&>(f), static_cast<X&&>(x)...};
        }
    };

    template <std::size_t ...n, typename F, typename ...X>
    struct reverse_partial_t<std::index_sequence<n...>, F, X...> {
        reverse_partial_t() = default;

        template <typename ...T>
        constexpr reverse_partial_t(make_reverse_partial_t::secret, T&& ...t)
            : storage_{static_cast<T&&>(t)...}
        { }

        basic_tuple<F, X...> storage_;

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) const& {
            return hana::at_c<0>(storage_)(
                static_cast<Y&&>(y)...,
                hana::at_c<n+1>(storage_)...
            );
        }

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) & {
            return hana::at_c<0>(storage_)(
                static_cast<Y&&>(y)...,
                hana::at_c<n+1>(storage_)...
            );
        }

        template <typename ...Y>
        constexpr decltype(auto) operator()(Y&& ...y) && {
            return static_cast<F&&>(hana::at_c<0>(storage_))(
                static_cast<Y&&>(y)...,
                static_cast<X&&>(hana::at_c<n+1>(storage_))...
            );
        }
    };

    constexpr make_reverse_partial_t reverse_partial{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/functional/infix.hpp" 2






namespace boost { namespace hana {
# 83 "/us/include/boost_1_64_0/boost/hana/functional/infix.hpp"
    namespace infix_detail {


        template <bool left, bool right, typename F>
        struct infix_t {
            F f;

            template <typename ...X>
            constexpr decltype(auto) operator()(X&& ...x) const&
            { return f(static_cast<X&&>(x)...); }

            template <typename ...X>
            constexpr decltype(auto) operator()(X&& ...x) &
            { return f(static_cast<X&&>(x)...); }

            template <typename ...X>
            constexpr decltype(auto) operator()(X&& ...x) &&
            { return std::move(f)(static_cast<X&&>(x)...); }
        };

        template <bool left, bool right>
        struct make_infix {
            template <typename F>
            constexpr infix_t<left, right, typename detail::decay<F>::type>
            operator()(F&& f) const { return {static_cast<F&&>(f)}; }
        };

        template <bool left, bool right>
        struct Infix;
        struct Object;

        template <typename T>
        struct dispatch { using type = Object; };

        template <bool left, bool right, typename F>
        struct dispatch<infix_t<left, right, F>> {
            using type = Infix<left, right>;
        };

        template <typename, typename>
        struct bind_infix;


        template <>
        struct bind_infix<Infix<false, false>, Object> {
            template <typename F, typename Y>
            static constexpr decltype(auto) apply(F&& f, Y&& y) {
                return make_infix<false, true>{}(
                    hana::reverse_partial(
                        static_cast<F&&>(f), static_cast<Y&&>(y)
                    )
                );
            }
        };


        template <>
        struct bind_infix<Infix<true, false>, Object> {
            template <typename F, typename Y>
            static constexpr decltype(auto) apply(F&& f, Y&& y) {
                return static_cast<F&&>(f)(static_cast<Y&&>(y));
            }
        };


        template <>
        struct bind_infix<Object, Infix<false, false>> {
            template <typename X, typename F>
            static constexpr decltype(auto) apply(X&& x, F&& f) {
                return make_infix<true, false>{}(
                    hana::partial(static_cast<F&&>(f), static_cast<X&&>(x))
                );
            }
        };


        template <>
        struct bind_infix<Object, Infix<false, true>> {
            template <typename X, typename F>
            static constexpr decltype(auto) apply(X&& x, F&& f) {
                return static_cast<F&&>(f)(static_cast<X&&>(x));
            }
        };

        template <typename T>
        using strip = typename std::remove_cv<
            typename std::remove_reference<T>::type
        >::type;

        template <typename X, typename Y>
        constexpr decltype(auto) operator^(X&& x, Y&& y) {
            return bind_infix<
                typename dispatch<strip<X>>::type,
                typename dispatch<strip<Y>>::type
            >::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
        }
    }

    constexpr infix_detail::make_infix<false, false> infix{};

}}
# 15 "/us/include/boost_1_64_0/boost/hana/functional/on.hpp" 2





namespace boost { namespace hana {
# 60 "/us/include/boost_1_64_0/boost/hana/functional/on.hpp"
    template <typename F, typename G>
    struct on_t {
        F f; G g;
        template <typename ...X>
        constexpr decltype(auto) operator()(X&& ...x) const& {
            return f(g(static_cast<X&&>(x))...);
        }

        template <typename ...X>
        constexpr decltype(auto) operator()(X&& ...x) & {
            return f(g(static_cast<X&&>(x))...);
        }

        template <typename ...X>
        constexpr decltype(auto) operator()(X&& ...x) && {
            return std::move(f)(g(static_cast<X&&>(x))...);
        }
    };

    constexpr auto on = infix(detail::create<on_t>{});

}}
# 23 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/ap.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/ap.hpp"
namespace boost { namespace hana {
# 67 "/us/include/boost_1_64_0/boost/hana/fwd/ap.hpp"
    template <typename A, typename = void>
    struct ap_impl : ap_impl<A, when<true>> { };

    struct ap_t {
        template <typename F, typename X>
        constexpr decltype(auto) operator()(F&& f, X&& x) const;

        template <typename F, typename ...Xs>
        constexpr decltype(auto) operator()(F&& f, Xs&& ...xs) const;
    };

    constexpr ap_t ap{};

}}
# 24 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/duplicate.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/duplicate.hpp"
namespace boost { namespace hana {
# 45 "/us/include/boost_1_64_0/boost/hana/fwd/duplicate.hpp"
    template <typename W, typename = void>
    struct duplicate_impl : duplicate_impl<W, when<true>> { };

    struct duplicate_t {
        template <typename W_>
        constexpr decltype(auto) operator()(W_&& w) const;
    };

    constexpr duplicate_t duplicate{};

}}
# 25 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/fwd/extend.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/extend.hpp"
namespace boost { namespace hana {
# 50 "/us/include/boost_1_64_0/boost/hana/fwd/extend.hpp"
    template <typename W, typename = void>
    struct extend_impl : extend_impl<W, when<true>> { };

    struct extend_t {
        template <typename W_, typename F>
        constexpr decltype(auto) operator()(W_&& w, F&& f) const;
    };

    constexpr extend_t extend{};

}}
# 27 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/extract.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/extract.hpp"
namespace boost { namespace hana {
# 46 "/us/include/boost_1_64_0/boost/hana/fwd/extract.hpp"
    template <typename W, typename = void>
    struct extract_impl : extract_impl<W, when<true>> { };

    struct extract_t {
        template <typename W_>
        constexpr decltype(auto) operator()(W_&& w) const;
    };

    constexpr extract_t extract{};

}}
# 28 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/flatten.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/flatten.hpp"
namespace boost { namespace hana {
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/flatten.hpp"
    template <typename M, typename = void>
    struct flatten_impl : flatten_impl<M, when<true>> { };

    struct flatten_t {
        template <typename Xs>
        constexpr auto operator()(Xs&& xs) const;
    };

    constexpr flatten_t flatten{};

}}
# 29 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/fwd/lift.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/lift.hpp"
namespace boost { namespace hana {
# 48 "/us/include/boost_1_64_0/boost/hana/fwd/lift.hpp"
    template <typename A, typename = void>
    struct lift_impl : lift_impl<A, when<true>> { };

    template <typename A>
    struct lift_t;

    template <typename A>
    constexpr lift_t<A> lift{};

}}
# 30 "/us/include/boost_1_64_0/boost/hana/lazy.hpp" 2








namespace boost { namespace hana {



    template <typename Indices, typename F, typename ...Args>
    struct lazy_apply_t;

    namespace detail { struct lazy_secret { }; }

    template <std::size_t ...n, typename F, typename ...Args>
    struct lazy_apply_t<std::index_sequence<n...>, F, Args...>
        : detail::operators::adl<>
    {
        template <typename ...T>
        constexpr lazy_apply_t(detail::lazy_secret, T&& ...t)
            : storage_{static_cast<T&&>(t)...}
        { }

        basic_tuple<F, Args...> storage_;
        using hana_tag = lazy_tag;
    };

    template <typename X>
    struct lazy_value_t : detail::operators::adl<> {
        template <typename Y>
        constexpr lazy_value_t(detail::lazy_secret, Y&& y)
            : storage_{static_cast<Y&&>(y)}
        { }

        basic_tuple<X> storage_;
        using hana_tag = lazy_tag;


        template <typename ...Args>
        constexpr lazy_apply_t<
            std::make_index_sequence<sizeof...(Args)>,
            X, typename detail::decay<Args>::type...
        > operator()(Args&& ...args) const& {
            return {detail::lazy_secret{},
                    hana::at_c<0>(storage_), static_cast<Args&&>(args)...};
        }

        template <typename ...Args>
        constexpr lazy_apply_t<
            std::make_index_sequence<sizeof...(Args)>,
            X, typename detail::decay<Args>::type...
        > operator()(Args&& ...args) && {
            return {detail::lazy_secret{},
                static_cast<X&&>(hana::at_c<0>(storage_)),
                static_cast<Args&&>(args)...
            };
        }
    };




    template <>
    struct make_impl<lazy_tag> {
        template <typename X>
        static constexpr lazy_value_t<typename detail::decay<X>::type> apply(X&& x) {
            return {detail::lazy_secret{}, static_cast<X&&>(x)};
        }
    };




    namespace detail {
        template <>
        struct monad_operators<lazy_tag> { static constexpr bool value = true; };
    }




    template <>
    struct eval_impl<lazy_tag> {

        template <std::size_t ...n, typename F, typename ...Args>
        static constexpr decltype(auto)
        apply(lazy_apply_t<std::index_sequence<n...>, F, Args...> const& expr) {
            return hana::at_c<0>(expr.storage_)(
                hana::at_c<n+1>(expr.storage_)...
            );
        }

        template <std::size_t ...n, typename F, typename ...Args>
        static constexpr decltype(auto)
        apply(lazy_apply_t<std::index_sequence<n...>, F, Args...>& expr) {
            return hana::at_c<0>(expr.storage_)(
                hana::at_c<n+1>(expr.storage_)...
            );
        }

        template <std::size_t ...n, typename F, typename ...Args>
        static constexpr decltype(auto)
        apply(lazy_apply_t<std::index_sequence<n...>, F, Args...>&& expr) {
            return static_cast<F&&>(hana::at_c<0>(expr.storage_))(
                static_cast<Args&&>(hana::at_c<n+1>(expr.storage_))...
            );
        }


        template <typename X>
        static constexpr X const& apply(lazy_value_t<X> const& expr)
        { return hana::at_c<0>(expr.storage_); }

        template <typename X>
        static constexpr X& apply(lazy_value_t<X>& expr)
        { return hana::at_c<0>(expr.storage_); }

        template <typename X>
        static constexpr X apply(lazy_value_t<X>&& expr)
        { return static_cast<X&&>(hana::at_c<0>(expr.storage_)); }
    };




    template <>
    struct transform_impl<lazy_tag> {
        template <typename Expr, typename F>
        static constexpr auto apply(Expr&& expr, F&& f) {
            return hana::make_lazy(hana::compose(static_cast<F&&>(f), hana::eval))(
                static_cast<Expr&&>(expr)
            );
        }
    };




    template <>
    struct lift_impl<lazy_tag> {
        template <typename X>
        static constexpr lazy_value_t<typename detail::decay<X>::type>
        apply(X&& x) {
            return {detail::lazy_secret{}, static_cast<X&&>(x)};
        }
    };

    template <>
    struct ap_impl<lazy_tag> {
        template <typename F, typename X>
        static constexpr decltype(auto) apply(F&& f, X&& x) {
            return hana::make_lazy(hana::on(hana::apply, hana::eval))(
                static_cast<F&&>(f), static_cast<X&&>(x)
            );
        }
    };




    template <>
    struct flatten_impl<lazy_tag> {
        template <typename Expr>
        static constexpr decltype(auto) apply(Expr&& expr) {
            return hana::make_lazy(hana::compose(hana::eval, hana::eval))(
                static_cast<Expr&&>(expr)
            );
        }
    };




    template <>
    struct extract_impl<lazy_tag> {
        template <typename Expr>
        static constexpr decltype(auto) apply(Expr&& expr)
        { return hana::eval(static_cast<Expr&&>(expr)); }
    };

    template <>
    struct duplicate_impl<lazy_tag> {
        template <typename Expr>
        static constexpr decltype(auto) apply(Expr&& expr)
        { return hana::make_lazy(static_cast<Expr&&>(expr)); }
    };

    template <>
    struct extend_impl<lazy_tag> {
        template <typename Expr, typename F>
        static constexpr decltype(auto) apply(Expr&& expr, F&& f) {
            return hana::make_lazy(static_cast<F&&>(f))(static_cast<Expr&&>(expr));
        }
    };
}}
# 24 "/us/include/boost_1_64_0/boost/hana/drop_while.hpp" 2



namespace boost { namespace hana {

    template <typename Xs, typename Pred>
    constexpr auto drop_while_t::operator()(Xs&& xs, Pred&& pred) const {
        using It = typename hana::tag_of<Xs>::type;
        using DropWhile = ::std::conditional_t< (hana::Iterable<It>::value), drop_while_impl<It>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Iterable<It>::value,
        "hana::drop_while(xs, pred) requires 'xs' to be an Iterable");


        return DropWhile::apply(static_cast<Xs&&>(xs), static_cast<Pred&&>(pred));
    }


    namespace iterable_detail {
        struct drop_while_helper {
            struct next {
                template <typename Xs, typename Pred>
                constexpr decltype(auto) operator()(Xs&& xs, Pred&& pred) const {
                    return hana::drop_while(
                        hana::drop_front(static_cast<Xs&&>(xs)),
                        static_cast<Pred&&>(pred)
                    );
                }
            };

            template <typename Xs, typename Pred>
            constexpr decltype(auto) operator()(Xs&& xs, Pred&& pred) const {
                return hana::eval_if(pred(hana::front(xs)),
                    hana::make_lazy(next{})(xs, pred),
                    hana::make_lazy(xs)
                );
            }
        };
    }

    template <typename It, bool condition>
    struct drop_while_impl<It, when<condition>> : default_ {
        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            return hana::eval_if(hana::is_empty(xs),
                hana::make_lazy(xs),
                hana::make_lazy(iterable_detail::drop_while_helper{})(
                                            xs, static_cast<Pred&&>(pred))
            );
        }
    };

    template <typename S>
    struct drop_while_impl<S, when<hana::Foldable<S>::value>> {
        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&&) {
            using FirstUnsatisfied = decltype(
                hana::unpack(static_cast<Xs&&>(xs),
                             detail::first_unsatisfied_index<Pred&&>{})
            );
            return hana::drop_front(static_cast<Xs&&>(xs),
                                    FirstUnsatisfied{});
        }
    };
}}
# 25 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 2







# 1 "/us/include/boost_1_64_0/boost/hana/optional.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/optional.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
namespace boost { namespace hana {
# 275 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    template <typename ...T>
    struct optional;




    struct optional_tag { };
# 308 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    constexpr auto make_optional = make<optional_tag>;
# 322 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    struct make_just_t {
        template <typename T>
        constexpr auto operator()(T&&) const;
    };

    constexpr make_just_t just{};
# 340 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    template <>
    struct optional<> : detail::operators::adl<optional<>> {

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


        constexpr optional& operator=(optional const&) = default;
        constexpr optional& operator=(optional&&) = default;


        constexpr decltype(nullptr) operator->() const { return nullptr; }

        template <typename ...dummy>
        constexpr auto value() const;

        template <typename ...dummy>
        constexpr auto operator*() const;

        template <typename U>
        constexpr U&& value_or(U&& u) const;
    };

    constexpr optional<> nothing{};
# 401 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    struct maybe_t {
        template <typename Def, typename F, typename T>
        constexpr decltype(auto) operator()(Def&&, F&& f, optional<T> const& m) const
        { return static_cast<F&&>(f)(m.value_); }

        template <typename Def, typename F, typename T>
        constexpr decltype(auto) operator()(Def&&, F&& f, optional<T>& m) const
        { return static_cast<F&&>(f)(m.value_); }

        template <typename Def, typename F, typename T>
        constexpr decltype(auto) operator()(Def&&, F&& f, optional<T>&& m) const
        { return static_cast<F&&>(f)(static_cast<optional<T>&&>(m).value_); }

        template <typename Def, typename F>
        constexpr Def operator()(Def&& def, F&&, optional<> const&) const
        { return static_cast<Def&&>(def); }
    };

    constexpr maybe_t maybe{};
# 455 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    struct sfinae_t {
        template <typename F>
        constexpr decltype(auto) operator()(F&& f) const;
    };

    constexpr sfinae_t sfinae{};
# 478 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    struct is_just_t {
        template <typename ...T>
        constexpr auto operator()(optional<T...> const&) const;
    };

    constexpr is_just_t is_just{};
# 501 "/us/include/boost_1_64_0/boost/hana/fwd/optional.hpp"
    struct is_nothing_t {
        template <typename ...T>
        constexpr auto operator()(optional<T...> const&) const;
    };

    constexpr is_nothing_t is_nothing{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/optional.hpp" 2
# 27 "/us/include/boost_1_64_0/boost/hana/optional.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concat.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/concat.hpp"
namespace boost { namespace hana {
# 51 "/us/include/boost_1_64_0/boost/hana/fwd/concat.hpp"
    template <typename M, typename = void>
    struct concat_impl : concat_impl<M, when<true>> { };

    struct concat_t {
        template <typename Xs, typename Ys>
        constexpr auto operator()(Xs&& xs, Ys&& ys) const;
    };

    constexpr concat_t concat{};

}}
# 27 "/us/include/boost_1_64_0/boost/hana/optional.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/fwd/empty.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/empty.hpp"
namespace boost { namespace hana {
# 40 "/us/include/boost_1_64_0/boost/hana/fwd/empty.hpp"
    template <typename M, typename = void>
    struct empty_impl : empty_impl<M, when<true>> { };

    template <typename M>
    struct empty_t;

    template <typename M>
    constexpr empty_t<M> empty{};

}}
# 29 "/us/include/boost_1_64_0/boost/hana/optional.hpp" 2







# 1 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
namespace boost { namespace hana {






    template <typename T>
    struct basic_type;
# 114 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <typename T>
    struct type_impl;

    template <typename T>
    using type = typename type_impl<T>::_;




    struct type_tag { };



    template <typename T>
    constexpr type<T> type_c{};
# 192 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    struct decltype_t {
        template <typename T>
        constexpr auto operator()(T&&) const;
    };

    constexpr decltype_t decltype_{};
# 235 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    struct typeid_t {
        template <typename T>
        constexpr auto operator()(T&&) const;
    };

    constexpr typeid_t typeid_{};
# 262 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    constexpr auto make_type = hana::make<type_tag>;
# 295 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    struct sizeof_t {
        template <typename T>
        constexpr auto operator()(T&&) const;
    };

    constexpr sizeof_t sizeof_{};
# 331 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    struct alignof_t {
        template <typename T>
        constexpr auto operator()(T&&) const;
    };

    constexpr alignof_t alignof_{};
# 375 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    struct is_valid_t {
        template <typename F>
        constexpr auto operator()(F&&) const;

        template <typename F, typename ...Args>
        constexpr auto operator()(F&&, Args&&...) const;
    };

    constexpr is_valid_t is_valid{};
# 412 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <template <typename ...> class F>
    struct template_t;

    template <template <typename ...> class F>
    constexpr template_t<F> template_{};
# 439 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <template <typename ...> class f>
    struct metafunction_t;

    template <template <typename ...> class f>
    constexpr metafunction_t<f> metafunction{};
# 466 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <typename F>
    struct metafunction_class_t
        : metafunction_t<F::template apply>
    { };

    template <typename F>
    constexpr metafunction_class_t<F> metafunction_class{};
# 512 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <typename F>
    struct integral_t;

    struct make_integral_t {
        template <typename F>
        constexpr integral_t<F> operator()(F const&) const
        { return {}; }
    };

    constexpr make_integral_t integral{};
# 531 "/us/include/boost_1_64_0/boost/hana/fwd/type.hpp"
    template <template <typename ...> class F>
    constexpr auto trait = hana::integral(hana::metafunction<F>);
}}
# 36 "/us/include/boost_1_64_0/boost/hana/optional.hpp" 2








namespace boost { namespace hana {



    namespace detail {
        template <typename T, typename = typename hana::tag_of<T>::type>
        struct nested_type { };

        template <typename T>
        struct nested_type<T, type_tag> { using type = typename T::type; };
    }

    template <typename T>
    struct optional<T> : detail::operators::adl<>, detail::nested_type<T> {

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

        constexpr optional(T const& t)
            : value_(t)
        { }

        constexpr optional(T&& t)
            : value_(static_cast<T&&>(t))
        { }


        constexpr optional& operator=(optional const&) = default;
        constexpr optional& operator=(optional&&) = default;


        constexpr T const* operator->() const { return &value_; }
        constexpr T* operator->() { return &value_; }

        constexpr T& value() & { return value_; }
        constexpr T const& value() const& { return value_; }
        constexpr T&& value() && { return static_cast<T&&>(value_); }
        constexpr T const&& value() const&& { return static_cast<T const&&>(value_); }

        constexpr T& operator*() & { return value_; }
        constexpr T const& operator*() const& { return value_; }
        constexpr T&& operator*() && { return static_cast<T&&>(value_); }
        constexpr T const&& operator*() const&& { return static_cast<T const&&>(value_); }

        template <typename U> constexpr T& value_or(U&&) & { return value_; }
        template <typename U> constexpr T const& value_or(U&&) const& { return value_; }
        template <typename U> constexpr T&& value_or(U&&) && { return static_cast<T&&>(value_); }
        template <typename U> constexpr T const&& value_or(U&&) const&& { return static_cast<T const&&>(value_); }



        T value_;
    };


    template <typename ...dummy>
    constexpr auto optional<>::value() const {
        static_assert(detail::wrong<dummy...>{},
        "hana::optional::value() requires a non-empty optional");
    }

    template <typename ...dummy>
    constexpr auto optional<>::operator*() const {
        static_assert(detail::wrong<dummy...>{},
        "hana::optional::operator* requires a non-empty optional");
    }

    template <typename U>
    constexpr U&& optional<>::value_or(U&& u) const {
        return static_cast<U&&>(u);
    }

    template <typename T>
    constexpr auto make_just_t::operator()(T&& t) const {
        return hana::optional<typename detail::decay<T>::type>(static_cast<T&&>(t));
    }


    template <typename ...T>
    struct tag_of<optional<T...>> {
        using type = optional_tag;
    };




    template <>
    struct make_impl<optional_tag> {
        template <typename X>
        static constexpr auto apply(X&& x)
        { return hana::just(static_cast<X&&>(x)); }

        static constexpr auto apply()
        { return hana::nothing; }
    };




    namespace detail {
        template <>
        struct comparable_operators<optional_tag> {
            static constexpr bool value = true;
        };
        template <>
        struct orderable_operators<optional_tag> {
            static constexpr bool value = true;
        };
        template <>
        struct monad_operators<optional_tag> {
            static constexpr bool value = true;
        };
    }





    template <typename ...T>
    constexpr auto is_just_t::operator()(optional<T...> const&) const
    { return hana::bool_c<sizeof...(T) != 0>; }

    template <typename ...T>
    constexpr auto is_nothing_t::operator()(optional<T...> const&) const
    { return hana::bool_c<sizeof...(T) == 0>; }





    namespace detail {
        struct sfinae_impl {
            template <typename F, typename ...X, typename = decltype(
                std::declval<F>()(std::declval<X>()...)
            )>
            constexpr decltype(auto) operator()(int, F&& f, X&& ...x) const {
                using Return = decltype(static_cast<F&&>(f)(static_cast<X&&>(x)...));
                static_assert(!std::is_same<Return, void>::value,
                "hana::sfinae(f)(args...) requires f(args...) to be non-void");

                return hana::just(static_cast<F&&>(f)(static_cast<X&&>(x)...));
            }

            template <typename F, typename ...X>
            constexpr auto operator()(long, F&&, X&& ...) const
            { return hana::nothing; }
        };
    }


    template <typename F>
    constexpr decltype(auto) sfinae_t::operator()(F&& f) const {
        return hana::partial(detail::sfinae_impl{}, int{},
                             static_cast<F&&>(f));
    }





    template <>
    struct equal_impl<optional_tag, optional_tag> {
        template <typename T, typename U>
        static constexpr auto apply(hana::optional<T> const& t, hana::optional<U> const& u)
        { return hana::equal(t.value_, u.value_); }

        static constexpr hana::true_ apply(hana::optional<> const&, hana::optional<> const&)
        { return {}; }

        template <typename T, typename U>
        static constexpr hana::false_ apply(T const&, U const&)
        { return {}; }
    };




    template <>
    struct less_impl<optional_tag, optional_tag> {
        template <typename T>
        static constexpr hana::true_ apply(hana::optional<> const&, hana::optional<T> const&)
        { return {}; }

        static constexpr hana::false_ apply(hana::optional<> const&, hana::optional<> const&)
        { return {}; }

        template <typename T>
        static constexpr hana::false_ apply(hana::optional<T> const&, hana::optional<> const&)
        { return {}; }

        template <typename T, typename U>
        static constexpr auto apply(hana::optional<T> const& x, hana::optional<U> const& y)
        { return hana::less(x.value_, y.value_); }
    };




    template <>
    struct transform_impl<optional_tag> {
        template <typename F>
        static constexpr auto apply(optional<> const&, F&&)
        { return hana::nothing; }

        template <typename T, typename F>
        static constexpr auto apply(optional<T> const& opt, F&& f)
        { return hana::just(static_cast<F&&>(f)(opt.value_)); }

        template <typename T, typename F>
        static constexpr auto apply(optional<T>& opt, F&& f)
        { return hana::just(static_cast<F&&>(f)(opt.value_)); }

        template <typename T, typename F>
        static constexpr auto apply(optional<T>&& opt, F&& f)
        { return hana::just(static_cast<F&&>(f)(static_cast<T&&>(opt.value_))); }
    };




    template <>
    struct lift_impl<optional_tag> {
        template <typename X>
        static constexpr auto apply(X&& x)
        { return hana::just(static_cast<X&&>(x)); }
    };

    template <>
    struct ap_impl<optional_tag> {
        template <typename F, typename X>
        static constexpr auto ap_helper(F&&, X&&, ...)
        { return hana::nothing; }

        template <typename F, typename X>
        static constexpr auto ap_helper(F&& f, X&& x, hana::true_, hana::true_)
        { return hana::just(static_cast<F&&>(f).value_(static_cast<X&&>(x).value_)); }

        template <typename F, typename X>
        static constexpr auto apply(F&& f, X&& x) {
            return ap_impl::ap_helper(static_cast<F&&>(f), static_cast<X&&>(x),
                                      hana::is_just(f), hana::is_just(x));
        }
    };




    template <>
    struct flatten_impl<optional_tag> {
        static constexpr auto apply(optional<> const&)
        { return hana::nothing; }

        static constexpr auto apply(optional<optional<>> const&)
        { return hana::nothing; }

        template <typename T>
        static constexpr auto apply(optional<optional<T>> const& opt)
        { return hana::just(opt.value_.value_); }

        template <typename T>
        static constexpr auto apply(optional<optional<T>>&& opt)
        { return hana::just(static_cast<T&&>(opt.value_.value_)); }
    };




    template <>
    struct concat_impl<optional_tag> {
        template <typename Y>
        static constexpr auto apply(hana::optional<>&, Y&& y)
        { return static_cast<Y&&>(y); }

        template <typename Y>
        static constexpr auto apply(hana::optional<>&&, Y&& y)
        { return static_cast<Y&&>(y); }

        template <typename Y>
        static constexpr auto apply(hana::optional<> const&, Y&& y)
        { return static_cast<Y&&>(y); }

        template <typename X, typename Y>
        static constexpr auto apply(X&& x, Y&&)
        { return static_cast<X&&>(x); }
    };

    template <>
    struct empty_impl<optional_tag> {
        static constexpr auto apply()
        { return hana::nothing; }
    };




    template <>
    struct unpack_impl<optional_tag> {
        template <typename T, typename F>
        static constexpr decltype(auto) apply(optional<T>&& opt, F&& f)
        { return static_cast<F&&>(f)(static_cast<T&&>(opt.value_)); }

        template <typename T, typename F>
        static constexpr decltype(auto) apply(optional<T> const& opt, F&& f)
        { return static_cast<F&&>(f)(opt.value_); }

        template <typename T, typename F>
        static constexpr decltype(auto) apply(optional<T>& opt, F&& f)
        { return static_cast<F&&>(f)(opt.value_); }

        template <typename F>
        static constexpr decltype(auto) apply(optional<> const&, F&& f)
        { return static_cast<F&&>(f)(); }
    };




    namespace detail {
        template <bool>
        struct optional_find_if {
            template <typename T>
            static constexpr auto apply(T const&)
            { return hana::nothing; }
        };

        template <>
        struct optional_find_if<true> {
            template <typename T>
            static constexpr auto apply(T&& t)
            { return hana::just(static_cast<T&&>(t)); }
        };
    }

    template <>
    struct find_if_impl<optional_tag> {
        template <typename T, typename Pred>
        static constexpr auto apply(hana::optional<T> const& opt, Pred&& pred) {
            constexpr bool found = decltype(static_cast<Pred&&>(pred)(opt.value_))::value;
            return detail::optional_find_if<found>::apply(opt.value_);
        }

        template <typename T, typename Pred>
        static constexpr auto apply(hana::optional<T>& opt, Pred&& pred) {
            constexpr bool found = decltype(static_cast<Pred&&>(pred)(opt.value_))::value;
            return detail::optional_find_if<found>::apply(opt.value_);
        }

        template <typename T, typename Pred>
        static constexpr auto apply(hana::optional<T>&& opt, Pred&& pred) {
            constexpr bool found = decltype(
                static_cast<Pred&&>(pred)(static_cast<T&&>(opt.value_))
            )::value;
            return detail::optional_find_if<found>::apply(static_cast<T&&>(opt.value_));
        }

        template <typename Pred>
        static constexpr auto apply(hana::optional<> const&, Pred&&)
        { return hana::nothing; }
    };

    template <>
    struct any_of_impl<optional_tag> {
        template <typename T, typename Pred>
        static constexpr auto apply(hana::optional<T> const& opt, Pred&& pred)
        { return static_cast<Pred&&>(pred)(opt.value_); }

        template <typename Pred>
        static constexpr hana::false_ apply(hana::optional<> const&, Pred&&)
        { return {}; }
    };
}}
# 32 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/transform.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/transform.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/functor.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/functor.hpp"
namespace boost { namespace hana {
# 135 "/us/include/boost_1_64_0/boost/hana/fwd/concept/functor.hpp"
    template <typename F>
    struct Functor;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp" 2


# 1 "/us/include/boost_1_64_0/boost/hana/adjust_if.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/adjust_if.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/adjust_if.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/adjust_if.hpp"
namespace boost { namespace hana {
# 57 "/us/include/boost_1_64_0/boost/hana/fwd/adjust_if.hpp"
    template <typename Xs, typename = void>
    struct adjust_if_impl : adjust_if_impl<Xs, when<true>> { };

    struct adjust_if_t {
        template <typename Xs, typename Pred, typename F>
        constexpr auto operator()(Xs&& xs, Pred const& pred, F const& f) const;
    };

    constexpr adjust_if_t adjust_if{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/adjust_if.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/adjust_if.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/transform.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/adjust_if.hpp" 2



namespace boost { namespace hana {

    template <typename Xs, typename Pred, typename F>
    constexpr auto adjust_if_t::operator()(Xs&& xs, Pred const& pred, F const& f) const {
        using S = typename hana::tag_of<Xs>::type;
        using AdjustIf = ::std::conditional_t< (hana::Functor<S>::value), adjust_if_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Functor<S>::value,
        "hana::adjust_if(xs, pred, f) requires 'xs' to be a Functor");


        return AdjustIf::apply(static_cast<Xs&&>(xs), pred, f);
    }


    namespace detail {
        template <typename Pred, typename F>
        struct apply_if {
            Pred const& pred;
            F const& f;

            template <typename X>
            constexpr decltype(auto) helper(bool cond, X&& x) const
            { return cond ? f(static_cast<X&&>(x)) : static_cast<X&&>(x); }

            template <typename X>
            constexpr decltype(auto) helper(hana::true_, X&& x) const
            { return f(static_cast<X&&>(x)); }

            template <typename X>
            constexpr decltype(auto) helper(hana::false_, X&& x) const
            { return static_cast<X&&>(x); }


            template <typename X>
            constexpr decltype(auto) operator()(X&& x) const {
                auto cond = hana::if_(pred(x), hana::true_c, hana::false_c);
                return this->helper(cond, static_cast<X&&>(x));
            }
        };
    }

    template <typename Fun, bool condition>
    struct adjust_if_impl<Fun, when<condition>> : default_ {
        template <typename Xs, typename Pred, typename F>
        static constexpr auto apply(Xs&& xs, Pred const& pred, F const& f) {
            return hana::transform(static_cast<Xs&&>(xs),
                                   detail::apply_if<Pred, F>{pred, f});
        }
    };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/transform.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/concept/functor.hpp" 2



namespace boost { namespace hana {
    template <typename F>
    struct Functor
        : hana::integral_constant<bool,
            !is_default<transform_impl<typename tag_of<F>::type>>::value ||
            !is_default<adjust_if_impl<typename tag_of<F>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/transform.hpp" 2





# 1 "/us/include/boost_1_64_0/boost/hana/functional/always.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/functional/always.hpp"
namespace boost { namespace hana {
# 43 "/us/include/boost_1_64_0/boost/hana/functional/always.hpp"
    template <typename T>
    struct _always {
        T val_;

        template <typename ...Args>
        constexpr T const& operator()(Args const& ...) const&
        { return val_; }

        template <typename ...Args>
        constexpr T& operator()(Args const& ...) &
        { return val_; }

        template <typename ...Args>
        constexpr T operator()(Args const& ...) &&
        { return std::move(val_); }
    };

    constexpr detail::create<_always> always{};

}}
# 21 "/us/include/boost_1_64_0/boost/hana/transform.hpp" 2





namespace boost { namespace hana {

    template <typename Xs, typename F>
    constexpr auto transform_t::operator()(Xs&& xs, F&& f) const {
        using S = typename hana::tag_of<Xs>::type;
        using Transform = ::std::conditional_t< (hana::Functor<S>::value), transform_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Functor<S>::value,
        "hana::transform(xs, f) requires 'xs' to be a Functor");


        return Transform::apply(static_cast<Xs&&>(xs), static_cast<F&&>(f));
    }


    template <typename Fun, bool condition>
    struct transform_impl<Fun, when<condition>> : default_ {
        template <typename Xs, typename F>
        static constexpr auto apply(Xs&& xs, F&& f) {
            return hana::adjust_if(static_cast<Xs&&>(xs),
                                   hana::always(hana::true_c),
                                   static_cast<F&&>(f));
        }
    };

    template <typename S>
    struct transform_impl<S, when<Sequence<S>::value>> {

        template <typename F>
        struct transformer {
            F f;
            template <typename ...Xs>
            constexpr auto operator()(Xs&& ...xs) const {
                return hana::make<S>((*f)(static_cast<Xs&&>(xs))...);
            }
        };


        template <typename Xs, typename F>
        static constexpr auto apply(Xs&& xs, F&& f) {

            return hana::unpack(static_cast<Xs&&>(xs),
                                transformer<decltype(&f)>{&f});
        }
    };
}}
# 34 "/us/include/boost_1_64_0/boost/hana/find_if.hpp" 2






namespace boost { namespace hana {

    template <typename Xs, typename Pred>
    constexpr auto find_if_t::operator()(Xs&& xs, Pred&& pred) const {
        using S = typename hana::tag_of<Xs>::type;
        using FindIf = ::std::conditional_t< (hana::Searchable<S>::value), find_if_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Searchable<S>::value,
        "hana::find_if(xs, pred) requires 'xs' to be a Searchable");


        return FindIf::apply(static_cast<Xs&&>(xs), static_cast<Pred&&>(pred));
    }


    template <typename S, bool condition>
    struct find_if_impl<S, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    namespace detail {
        template <typename Xs, typename Pred, std::size_t i, std::size_t N, bool Done>
        struct advance_until;

        template <typename Xs, typename Pred, std::size_t i, std::size_t N>
        struct advance_until<Xs, Pred, i, N, false>
            : advance_until<Xs, Pred, i + 1, N, static_cast<bool>(detail::decay<decltype(
                std::declval<Pred>()(hana::at_c<i>(std::declval<Xs>()))
            )>::type::value)>
        { };

        template <typename Xs, typename Pred, std::size_t N>
        struct advance_until<Xs, Pred, N, N, false> {
            template <typename Ys>
            static constexpr auto apply(Ys&&) {
                return hana::nothing;
            }
        };

        template <typename Xs, typename Pred, std::size_t i, std::size_t N>
        struct advance_until<Xs, Pred, i, N, true> {
            template <typename Ys>
            static constexpr auto apply(Ys&& ys) {
                return hana::just(hana::at_c<i - 1>(static_cast<Ys&&>(ys)));
            }
        };
    }

    template <typename S>
    struct find_if_impl<S, when<Sequence<S>::value>> {
        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&&) {
            constexpr std::size_t N = decltype(hana::length(xs))::value;
            return detail::advance_until<Xs&&, Pred&&, 0, N, false>::apply(
                static_cast<Xs&&>(xs)
            );
        }
    };

    template <typename It>
    struct find_if_impl<It, when<hana::Iterable<It>::value && !Sequence<It>::value>> {
        template <typename Xs, typename Pred>
        static constexpr auto find_if_helper(Xs&& xs, Pred&& pred, hana::true_) {
            return hana::just(hana::front(
                hana::drop_while(static_cast<Xs&&>(xs),
                    hana::compose(hana::not_, static_cast<Pred&&>(pred)))
            ));
        }

        template <typename Xs, typename Pred>
        static constexpr auto find_if_helper(Xs&&, Pred&&, hana::false_) {
            return hana::nothing;
        }

        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            constexpr bool found = !decltype(
                hana::is_empty(hana::drop_while(static_cast<Xs&&>(xs),
                    hana::compose(hana::not_, static_cast<Pred&&>(pred))))
            )::value;
            return find_if_impl::find_if_helper(static_cast<Xs&&>(xs),
                                                static_cast<Pred&&>(pred),
                                                hana::bool_<found>{});
        }
    };

    template <typename T, std::size_t N>
    struct find_if_impl<T[N]> {
        template <typename Xs>
        static constexpr auto find_if_helper(Xs&&, hana::false_)
        { return hana::nothing; }

        template <typename Xs>
        static constexpr auto find_if_helper(Xs&& xs, hana::true_)
        { return hana::just(static_cast<Xs&&>(xs)[0]); }

        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            return find_if_helper(static_cast<Xs&&>(xs),
                hana::bool_c<decltype(
                    static_cast<Pred&&>(pred)(static_cast<Xs&&>(xs)[0])
                )::value>
            );
        }
    };

    namespace struct_detail {
        template <typename X>
        struct get_member {
            X x;
            template <typename Member>
            constexpr decltype(auto) operator()(Member&& member) && {
                return hana::second(static_cast<Member&&>(member))(
                    static_cast<X&&>(x)
                );
            }
        };
    }

    template <typename S>
    struct find_if_impl<S, when<hana::Struct<S>::value>> {
        template <typename X, typename Pred>
        static constexpr decltype(auto) apply(X&& x, Pred&& pred) {
            return hana::transform(
                hana::find_if(hana::accessors<S>(),
                    hana::compose(static_cast<Pred&&>(pred), hana::first)
                ),
                struct_detail::get_member<X>{static_cast<X&&>(x)}
            );
        }
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/searchable.hpp" 2



namespace boost { namespace hana {
    template <typename S>
    struct Searchable
        : hana::integral_constant<bool,
            !is_default<any_of_impl<typename tag_of<S>::type>>::value &&
            !is_default<find_if_impl<typename tag_of<S>::type>>::value
        >
    { };
}}
# 18 "/us/include/boost_1_64_0/boost/hana/any_of.hpp" 2
# 34 "/us/include/boost_1_64_0/boost/hana/any_of.hpp"
namespace boost { namespace hana {

    template <typename Xs, typename Pred>
    constexpr auto any_of_t::operator()(Xs&& xs, Pred&& pred) const {
        using S = typename hana::tag_of<Xs>::type;
        using AnyOf = ::std::conditional_t< (hana::Searchable<S>::value), any_of_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Searchable<S>::value,
        "hana::any_of(xs, pred) requires 'xs' to be a Searchable");


        return AnyOf::apply(static_cast<Xs&&>(xs), static_cast<Pred&&>(pred));
    }


    template <typename S, bool condition>
    struct any_of_impl<S, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    template <typename S>
    struct any_of_impl<S, when<Sequence<S>::value>> {

        template <std::size_t k, std::size_t Len>
        struct any_of_helper {
            template <typename Xs, typename Pred>
            static constexpr auto apply(bool prev_cond, Xs&& xs, Pred&& pred) {
                return prev_cond ? hana::true_c
                    : any_of_impl::any_of_helper<k + 1, Len>::apply(
                        hana::if_(pred(hana::at_c<k>(xs)), hana::true_c, hana::false_c),
                        static_cast<Xs&&>(xs),
                        static_cast<Pred&&>(pred)
                    );
            }

            template <typename Xs, typename Pred>
            static constexpr auto apply(hana::true_, Xs&&, Pred&&)
            { return hana::true_c; }

            template <typename Xs, typename Pred>
            static constexpr auto apply(hana::false_, Xs&& xs, Pred&& pred) {
                auto cond = hana::if_(pred(hana::at_c<k>(xs)), hana::true_c,
                                                               hana::false_c);
                return any_of_impl::any_of_helper<k + 1, Len>::apply(cond,
                                        static_cast<Xs&&>(xs),
                                        static_cast<Pred&&>(pred));
            }
        };

        template <std::size_t Len>
        struct any_of_helper<Len, Len> {
            template <typename Cond, typename Xs, typename Pred>
            static constexpr auto apply(Cond cond, Xs&&, Pred&&)
            { return cond; }
        };

        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            constexpr std::size_t len = decltype(hana::length(xs))::value;
            return any_of_impl::any_of_helper<0, len>::apply(hana::false_c,
                                            static_cast<Xs&&>(xs),
                                            static_cast<Pred&&>(pred));
        }

    };

    template <typename It>
    struct any_of_impl<It, when<
        hana::Iterable<It>::value &&
        !Sequence<It>::value
    >> {
        template <typename Xs, typename Pred>
        static constexpr auto lazy_any_of_helper(hana::false_, bool prev_cond, Xs&& xs, Pred&& pred) {
            decltype(auto) tail = hana::drop_front(static_cast<Xs&&>(xs));
            constexpr bool done = decltype(hana::is_empty(tail))::value;
            return prev_cond ? hana::true_c
                : lazy_any_of_helper(hana::bool_<done>{},
                    hana::if_(pred(hana::front(xs)), hana::true_{}, hana::false_{}),
                    static_cast<decltype(tail)&&>(tail),
                    static_cast<Pred&&>(pred)
                );
        }

        template <typename Xs, typename Pred>
        static constexpr auto lazy_any_of_helper(hana::false_, hana::true_, Xs&&, Pred&&)
        { return hana::true_c; }

        template <typename Xs, typename Pred>
        static constexpr auto lazy_any_of_helper(hana::false_, hana::false_, Xs&& xs, Pred&& pred) {
            constexpr bool done = decltype(hana::is_empty(hana::drop_front(xs)))::value;
            return lazy_any_of_helper(hana::bool_c<done>,
                hana::if_(pred(hana::front(xs)), hana::true_c, hana::false_c),
                hana::drop_front(static_cast<Xs&&>(xs)),
                static_cast<Pred&&>(pred)
            );
        }

        template <typename Cond, typename Xs, typename Pred>
        static constexpr auto lazy_any_of_helper(hana::true_, Cond cond, Xs&&, Pred&&)
        { return cond; }

        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            constexpr bool done = decltype(hana::is_empty(xs))::value;
            return lazy_any_of_helper(hana::bool_c<done>, hana::false_c,
                                      static_cast<Xs&&>(xs),
                                      static_cast<Pred&&>(pred));
        }
    };

    template <typename T, std::size_t N>
    struct any_of_impl<T[N]> {
        template <typename Xs, typename Pred>
        static constexpr bool any_of_helper(bool cond, Xs&& xs, Pred&& pred) {
            if (cond) return true;
            for (std::size_t i = 1; i < N; ++i)
                if (pred(static_cast<Xs&&>(xs)[i]))
                    return true;
            return false;
        }





        template <typename Xs, typename Pred>
        static constexpr auto
        any_of_helper(hana::true_, Xs&& , Pred&&)
        { return hana::true_c; }

        template <typename Xs, typename Pred>
        static constexpr auto
        any_of_helper(hana::false_, Xs&&, Pred&&)
        { return hana::false_c; }

        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            auto cond = hana::if_(pred(static_cast<Xs&&>(xs)[0]), hana::true_c,
                                                                  hana::false_c);
            return any_of_helper(cond, static_cast<Xs&&>(xs),
                                       static_cast<Pred&&>(pred));
        }
    };

    template <typename S>
    struct any_of_impl<S, when<hana::Struct<S>::value>> {
        template <typename X, typename Pred>
        static constexpr decltype(auto) apply(X const&, Pred&& pred) {
            return hana::any_of(hana::accessors<S>(),
                    hana::compose(static_cast<Pred&&>(pred), hana::first));
        }
    };
}}
# 15 "/us/include/boost_1_64_0/boost/hana/all_of.hpp" 2








namespace boost { namespace hana {

    template <typename Xs, typename Pred>
    constexpr auto all_of_t::operator()(Xs&& xs, Pred&& pred) const {
        using S = typename hana::tag_of<Xs>::type;
        using AllOf = ::std::conditional_t< (hana::Searchable<S>::value), all_of_impl<S>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Searchable<S>::value,
        "hana::all_of(xs, pred) requires 'xs' to be a Searchable");


        return AllOf::apply(static_cast<Xs&&>(xs), static_cast<Pred&&>(pred));
    }


    template <typename S, bool condition>
    struct all_of_impl<S, when<condition>> : default_ {
        template <typename Xs, typename Pred>
        static constexpr auto apply(Xs&& xs, Pred&& pred) {
            return hana::not_(hana::any_of(static_cast<Xs&&>(xs),
                    hana::compose(hana::not_, static_cast<Pred&&>(pred))));
        }
    };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/and.hpp" 1
# 22 "/us/include/boost_1_64_0/boost/hana/and.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr decltype(auto) and_t::operator()(X&& x, Y&& y) const {
        using Bool = typename hana::tag_of<X>::type;
        using And = ::std::conditional_t< (hana::Logical<Bool>::value), and_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::and_(x, y) requires 'x' to be a Logical");


        return And::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }

    template <typename X, typename ...Y>
    constexpr decltype(auto) and_t::operator()(X&& x, Y&& ...y) const {
        return detail::variadic::foldl1(
            *this,
            static_cast<X&&>(x),
            static_cast<Y&&>(y)...
        );
    }


    template <typename L, bool condition>
    struct and_impl<L, when<condition>> : default_ {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::if_(x, static_cast<Y&&>(y), x);
        }
    };
}}
# 17 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/concept/comparable.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/comparable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/comparable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/comparable.hpp"
namespace boost { namespace hana {
# 156 "/us/include/boost_1_64_0/boost/hana/fwd/concept/comparable.hpp"
    template <typename T>
    struct Comparable;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/comparable.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/concept/comparable.hpp" 2



namespace boost { namespace hana {
    template <typename T>
    struct Comparable
        : hana::integral_constant<bool,
            !is_default<equal_impl<typename tag_of<T>::type,
                                   typename tag_of<T>::type>>::value
        >
    { };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2
# 31 "/us/include/boost_1_64_0/boost/hana/equal.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/concepts.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/detail/concepts.hpp"
namespace boost { namespace hana { namespace detail {




    template <typename T, typename U = T, typename = void>
    struct EqualityComparable : std::false_type { };

    template <typename T>
    struct EqualityComparable<T, T, detail::void_t<
        decltype(static_cast<T&&>(*(T*)0) == static_cast<T&&>(*(T*)0) ? 0:0),
        decltype(static_cast<T&&>(*(T*)0) != static_cast<T&&>(*(T*)0) ? 0:0)
    >> : std::true_type { };

    template <typename T, typename U>
    struct EqualityComparable<T, U, typename std::enable_if<
        !std::is_same<T, U>::value, detail::void_t<
            decltype(static_cast<T&&>(*(T*)0) == static_cast<U&&>(*(U*)0) ? 0:0),
            decltype(static_cast<U&&>(*(U*)0) == static_cast<T&&>(*(T*)0) ? 0:0),
            decltype(static_cast<T&&>(*(T*)0) != static_cast<U&&>(*(U*)0) ? 0:0),
            decltype(static_cast<U&&>(*(U*)0) != static_cast<T&&>(*(T*)0) ? 0:0),
            typename detail::std_common_type<T, U>::type
    >>::type> : std::integral_constant<bool,
        EqualityComparable<T>::value &&
        EqualityComparable<U>::value &&
        EqualityComparable<typename detail::std_common_type<T, U>::type>::value
    > { };





    template <typename T, typename U = T, typename = void>
    struct LessThanComparable : std::false_type { };

    template <typename T>
    struct LessThanComparable<T, T, detail::void_t<
        decltype(static_cast<T&&>(*(T*)0) < static_cast<T&&>(*(T*)0) ? 0:0)
    >> : std::true_type { };

    template <typename T, typename U>
    struct LessThanComparable<T, U, std::enable_if_t<
        !std::is_same<T, U>::value,
        detail::void_t<
            decltype(static_cast<T&&>(*(T*)0) < static_cast<U&&>(*(U*)0) ? 0:0),
            decltype(static_cast<U&&>(*(U*)0) < static_cast<T&&>(*(T*)0) ? 0:0),
            typename detail::std_common_type<T, U>::type
        >
    >>
        : std::integral_constant<bool,
            LessThanComparable<T>::value &&
            LessThanComparable<U>::value &&
            LessThanComparable<typename detail::std_common_type<T, U>::type>::value
        >
    { };

} }}
# 31 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/has_common_embedding.hpp" 1
# 21 "/us/include/boost_1_64_0/boost/hana/detail/has_common_embedding.hpp"
namespace boost { namespace hana { namespace detail {
    template <template <typename...> class Concept, typename T, typename U, typename = void>
    struct has_common_embedding_impl : std::false_type { };

    template <template <typename...> class Concept, typename T, typename U>
    struct has_common_embedding_impl<Concept, T, U, detail::void_t<
        typename common<T, U>::type
    >> {
        using Common = typename common<T, U>::type;
        using type = std::integral_constant<bool,
            Concept<T>::value &&
            Concept<U>::value &&
            Concept<Common>::value &&
            is_embedded<T, Common>::value &&
            is_embedded<U, Common>::value
        >;
    };







    template <template <typename...> class Concept, typename T, typename U>
    using has_common_embedding = typename has_common_embedding_impl<Concept, T, U>::type;

    template <template <typename...> class Concept, typename T, typename U>
    struct has_nontrivial_common_embedding_impl
        : has_common_embedding_impl<Concept, T, U>
    { };

    template <template <typename...> class Concept, typename T>
    struct has_nontrivial_common_embedding_impl<Concept, T, T>
        : std::false_type
    { };







    template <template <typename...> class Concept, typename T, typename U>
    using has_nontrivial_common_embedding =
        typename has_nontrivial_common_embedding_impl<Concept, T, U>::type;
} }}
# 32 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/detail/nested_to.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/detail/nested_to.hpp"
namespace boost { namespace hana { namespace detail {

    template <typename Algorithm>
    template <typename X>
    constexpr decltype(auto) nested_to_t<Algorithm>::operator()(X&& x) const
    { return hana::partial(Algorithm{}, static_cast<X&&>(x)); }

} }}
# 33 "/us/include/boost_1_64_0/boost/hana/equal.hpp" 2
# 43 "/us/include/boost_1_64_0/boost/hana/equal.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr auto equal_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using Equal = equal_impl<T, U>;
        return Equal::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct equal_impl<T, U, when<condition>> : default_ {
        template <typename X, typename Y>
        static constexpr auto apply(X const&, Y const&) {

            using T_ = typename hana::tag_of<X>::type;
            static_assert(!hana::is_convertible<T_, U>::value &&
                          !hana::is_convertible<U, T_>::value,
            "No default implementation of hana::equal is provided for related "
            "types that can't be safely embedded into a common type, because "
            "those are most likely programming errors. If this is really what "
            "you want, you can manually convert both objects to a common "
            "Comparable type before performing the comparison. If you think "
            "you have made your types Comparable but you see this, perhaps you "
            "forgot to define some of the necessary methods for an automatic "
            "model of Comparable to kick in. A possible culprit is defining "
            "'operator==' but not 'operator!='.");

            return hana::false_c;
        }
    };


    template <typename T, typename U>
    struct equal_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Comparable, T, U>::value &&
        !detail::EqualityComparable<T, U>::value
    >> {
        using C = typename hana::common<T, U>::type;
        template <typename X, typename Y>
        static constexpr auto apply(X&& x, Y&& y) {
            return hana::equal(hana::to<C>(static_cast<X&&>(x)),
                               hana::to<C>(static_cast<Y&&>(y)));
        }
    };




    template <typename T, typename U>
    struct equal_impl<T, U, when<detail::EqualityComparable<T, U>::value>> {
        template <typename X, typename Y>
        static constexpr auto apply(X&& x, Y&& y)
        { return static_cast<X&&>(x) == static_cast<Y&&>(y); }
    };




    template <typename C>
    struct equal_impl<C, C, when<
        hana::Constant<C>::value &&
        Comparable<typename C::value_type>::value
    >> {
        template <typename X, typename Y>
        static constexpr auto apply(X const&, Y const&) {
            constexpr auto eq = hana::equal(hana::value<X>(), hana::value<Y>());
            constexpr bool truth_value = hana::if_(eq, true, false);
            return hana::bool_<truth_value>{};
        }
    };




    template <typename T, typename U>
    struct equal_impl<T, U, when<hana::Product<T>::value && hana::Product<U>::value>> {
        template <typename X, typename Y>
        static constexpr auto apply(X const& x, Y const& y) {
            return hana::and_(
                hana::equal(hana::first(x), hana::first(y)),
                hana::equal(hana::second(x), hana::second(y))
            );
        }
    };




    namespace detail {
        template <typename Xs, typename Ys, std::size_t Length>
        struct compare_finite_sequences {
            Xs const& xs;
            Ys const& ys;

            template <std::size_t i>
            constexpr auto apply(hana::false_, hana::true_) const {
                return compare_finite_sequences::apply<i+1>(
                    hana::bool_<i+1 == Length>{},
                    hana::if_(hana::equal(hana::at_c<i>(xs), hana::at_c<i>(ys)),
                              hana::true_c, hana::false_c)
                );
            }

            template <std::size_t i>
            constexpr auto apply(hana::false_, hana::false_) const
            { return hana::false_c; }

            template <std::size_t i, typename Result>
            constexpr auto apply(hana::true_, Result r) const
            { return r; }

            template <std::size_t i>
            constexpr bool apply(hana::false_, bool b) const {
                return b && compare_finite_sequences::apply<i+1>(
                    hana::bool_<i+1 == Length>{},
                    hana::if_(hana::equal(hana::at_c<i>(xs), hana::at_c<i>(ys)),
                              hana::true_c, hana::false_c)
                );
            }
        };
    }

    template <typename T, typename U>
    struct equal_impl<T, U, when<Sequence<T>::value && hana::Sequence<U>::value>> {
        template <typename Xs, typename Ys>
        static constexpr auto apply(Xs const& xs, Ys const& ys) {
            constexpr std::size_t xs_size = decltype(hana::length(xs))::value;
            constexpr std::size_t ys_size = decltype(hana::length(ys))::value;
            detail::compare_finite_sequences<Xs, Ys, xs_size> comp{xs, ys};
            return comp.template apply<0>(hana::bool_<xs_size == 0>{},
                                          hana::bool_<xs_size == ys_size>{});
        }
    };

    namespace detail {
        template <typename X, typename Y>
        struct compare_struct_members {
            X const& x;
            Y const& y;

            template <typename Member>
            constexpr auto operator()(Member&& member) const {
                auto accessor = hana::second(static_cast<Member&&>(member));
                return hana::equal(accessor(x), accessor(y));
            }
        };
    }

    template <typename S>
    struct equal_impl<S, S, when<hana::Struct<S>::value>> {
        template <typename X, typename Y>
        static constexpr auto apply(X const& x, Y const& y) {
            return hana::all_of(hana::accessors<S>(),
                detail::compare_struct_members<X, Y>{x, y});
        }
    };
}}
# 18 "test.cpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/less.hpp" 1
# 18 "/us/include/boost_1_64_0/boost/hana/less.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/orderable.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/orderable.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/orderable.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/orderable.hpp"
namespace boost { namespace hana {
# 183 "/us/include/boost_1_64_0/boost/hana/fwd/concept/orderable.hpp"
    template <typename Ord>
    struct Orderable;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/orderable.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/less.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/concept/orderable.hpp" 2



namespace boost { namespace hana {
    template <typename Ord>
    struct Orderable
        : hana::integral_constant<bool,
            !is_default<less_impl<typename tag_of<Ord>::type,
                                  typename tag_of<Ord>::type>>::value
        >
    { };
}}
# 18 "/us/include/boost_1_64_0/boost/hana/less.hpp" 2
# 27 "/us/include/boost_1_64_0/boost/hana/less.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/detail/nested_than.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/detail/nested_than.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/functional/flip.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/functional/flip.hpp"
namespace boost { namespace hana {
# 37 "/us/include/boost_1_64_0/boost/hana/functional/flip.hpp"
    template <typename F>
    struct flip_t {
        F f;

        template <typename X, typename Y, typename ...Z>
        constexpr decltype(auto) operator()(X&& x, Y&& y, Z&& ...z) const& {
            return f(
                static_cast<Y&&>(y),
                static_cast<X&&>(x),
                static_cast<Z&&>(z)...
            );
        }

        template <typename X, typename Y, typename ...Z>
        constexpr decltype(auto) operator()(X&& x, Y&& y, Z&& ...z) & {
            return f(
                static_cast<Y&&>(y),
                static_cast<X&&>(x),
                static_cast<Z&&>(z)...
            );
        }

        template <typename X, typename Y, typename ...Z>
        constexpr decltype(auto) operator()(X&& x, Y&& y, Z&& ...z) && {
            return std::move(f)(
                static_cast<Y&&>(y),
                static_cast<X&&>(x),
                static_cast<Z&&>(z)...
            );
        }
    };

    constexpr detail::create<flip_t> flip{};

}}
# 16 "/us/include/boost_1_64_0/boost/hana/detail/nested_than.hpp" 2




namespace boost { namespace hana { namespace detail {

    template <typename Algorithm>
    template <typename X>
    constexpr decltype(auto) nested_than_t<Algorithm>::operator()(X&& x) const
    { return hana::partial(hana::flip(Algorithm{}), static_cast<X&&>(x)); }

} }}
# 27 "/us/include/boost_1_64_0/boost/hana/less.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/less_equal.hpp" 1
# 22 "/us/include/boost_1_64_0/boost/hana/less_equal.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/less.hpp" 1
# 22 "/us/include/boost_1_64_0/boost/hana/less_equal.hpp" 2






namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr auto less_equal_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using LessEqual = ::std::conditional_t< (hana::Orderable<T>::value && hana::Orderable<U>::value), decltype(less_equal_impl<T, U>{}), ::boost::hana::deleted_implementation >;






        static_assert(hana::Orderable<T>::value,
        "hana::less_equal(x, y) requires 'x' to be Orderable");

        static_assert(hana::Orderable<U>::value,
        "hana::less_equal(x, y) requires 'y' to be Orderable");


        return LessEqual::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct less_equal_impl<T, U, when<condition>> : default_ {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::not_(hana::less(static_cast<Y&&>(y),
                                         static_cast<X&&>(x)));
        }
    };


    template <typename T, typename U>
    struct less_equal_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Orderable, T, U>::value
    >> {
        using C = typename hana::common<T, U>::type;
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::less_equal(hana::to<C>(static_cast<X&&>(x)),
                                    hana::to<C>(static_cast<Y&&>(y)));
        }
    };
}}
# 31 "/us/include/boost_1_64_0/boost/hana/less.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/lexicographical_compare.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/lexicographical_compare.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/lexicographical_compare.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/lexicographical_compare.hpp"
namespace boost { namespace hana {
# 78 "/us/include/boost_1_64_0/boost/hana/fwd/lexicographical_compare.hpp"
    template <typename T, typename = void>
    struct lexicographical_compare_impl : lexicographical_compare_impl<T, when<true>> { };

    struct lexicographical_compare_t {
        template <typename Xs, typename Ys>
        constexpr auto operator()(Xs const& xs, Ys const& ys) const;

        template <typename Xs, typename Ys, typename Pred>
        constexpr auto operator()(Xs const& xs, Ys const& ys, Pred const& pred) const;
    };

    constexpr lexicographical_compare_t lexicographical_compare{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/lexicographical_compare.hpp" 2
# 23 "/us/include/boost_1_64_0/boost/hana/lexicographical_compare.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/less.hpp" 1
# 23 "/us/include/boost_1_64_0/boost/hana/lexicographical_compare.hpp" 2



namespace boost { namespace hana {

    template <typename Xs, typename Ys>
    constexpr auto lexicographical_compare_t::operator()(Xs const& xs, Ys const& ys) const {
        return hana::lexicographical_compare(xs, ys, hana::less);
    }

    template <typename Xs, typename Ys, typename Pred>
    constexpr auto lexicographical_compare_t::operator()(Xs const& xs, Ys const& ys, Pred const& pred) const {
        using It1 = typename hana::tag_of<Xs>::type;
        using It2 = typename hana::tag_of<Ys>::type;
        using LexicographicalCompare = ::std::conditional_t< (hana::Iterable<It1>::value && hana::Iterable<It2>::value), lexicographical_compare_impl<It1>, ::boost::hana::deleted_implementation >;






        static_assert(hana::Iterable<It1>::value,
        "hana::lexicographical_compare(xs, ys, pred) requires 'xs' to be Iterable");

        static_assert(hana::Iterable<It2>::value,
        "hana::lexicographical_compare(xs, ys, pred) requires 'ys' to be Iterable");


        return LexicographicalCompare::apply(xs, ys, pred);
    }


    template <typename It, bool condition>
    struct lexicographical_compare_impl<It, when<condition>> : default_ {
        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper2(Xs const&, Ys const&, Pred const&, hana::true_)
        { return hana::false_c; }

        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper2(Xs const& xs, Ys const& ys, Pred const& pred, hana::false_)
        { return apply(hana::drop_front(xs), hana::drop_front(ys), pred); }

        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper2(Xs const& xs, Ys const& ys, Pred const& pred, bool is_greater)
        { return is_greater ? false : apply(hana::drop_front(xs), hana::drop_front(ys), pred); }


        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper1(Xs const&, Ys const&, Pred const&, hana::true_)
        { return hana::true_c; }

        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper1(Xs const& xs, Ys const& ys, Pred const& pred, hana::false_)
        { return helper2(xs, ys, pred, hana::if_(pred(hana::front(ys), hana::front(xs)), hana::true_c, hana::false_c)); }

        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper1(Xs const& xs, Ys const& ys, Pred const& pred, bool is_less)
        { return is_less ? true : helper2(xs, ys, pred, hana::if_(pred(hana::front(ys), hana::front(xs)), hana::true_c, hana::false_c)); }


        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper(Xs const&, Ys const& ys, Pred const&, hana::true_)
        { return hana::not_(hana::is_empty(ys)); }

        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto
        helper(Xs const& xs, Ys const& ys, Pred const& pred, hana::false_)
        { return helper1(xs, ys, pred, hana::if_(pred(hana::front(xs), hana::front(ys)), hana::true_c, hana::false_c)); }


        template <typename Xs, typename Ys, typename Pred>
        static constexpr auto apply(Xs const& xs, Ys const& ys, Pred const& pred) {
            return helper(xs, ys, pred, hana::bool_c<
                decltype(hana::is_empty(xs))::value ||
                decltype(hana::is_empty(ys))::value
            >);
        }
    };
}}
# 32 "/us/include/boost_1_64_0/boost/hana/less.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/or.hpp" 1
# 22 "/us/include/boost_1_64_0/boost/hana/or.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr decltype(auto) or_t::operator()(X&& x, Y&& y) const {
        using Bool = typename hana::tag_of<X>::type;
        using Or = ::std::conditional_t< (hana::Logical<Bool>::value), or_impl<Bool>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Logical<Bool>::value,
        "hana::or_(x, y) requires 'x' to be a Logical");


        return Or::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }

    template <typename X, typename ...Y>
    constexpr decltype(auto) or_t::operator()(X&& x, Y&& ...y) const {
        return detail::variadic::foldl1(
            *this,
            static_cast<X&&>(x),
            static_cast<Y&&>(y)...
        );
    }


    template <typename L, bool condition>
    struct or_impl<L, when<condition>> : hana::default_ {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {



            return hana::if_(x, x, static_cast<Y&&>(y));
        }
    };
}}
# 33 "/us/include/boost_1_64_0/boost/hana/less.hpp" 2





namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr auto less_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using Less = ::std::conditional_t< (hana::Orderable<T>::value && hana::Orderable<U>::value && !is_default<less_impl<T, U>>::value), decltype(less_impl<T, U>{}), ::boost::hana::deleted_implementation >;






        static_assert(hana::Orderable<T>::value,
        "hana::less(x, y) requires 'x' to be Orderable");

        static_assert(hana::Orderable<U>::value,
        "hana::less(x, y) requires 'y' to be Orderable");

        static_assert(!is_default<less_impl<T, U>>::value,
        "hana::less(x, y) requires 'x' and 'y' to be embeddable "
        "in a common Orderable");


        return Less::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct less_impl<T, U, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };


    template <typename T, typename U>
    struct less_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Orderable, T, U>::value &&
        !detail::LessThanComparable<T, U>::value
    >> {
        using C = typename hana::common<T, U>::type;
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::less(hana::to<C>(static_cast<X&&>(x)),
                              hana::to<C>(static_cast<Y&&>(y)));
        }
    };




    template <typename T, typename U>
    struct less_impl<T, U, when<detail::LessThanComparable<T, U>::value>> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y)
        { return static_cast<X&&>(x) < static_cast<Y&&>(y); }
    };




    template <typename C>
    struct less_impl<C, C, when<
        hana::Constant<C>::value &&
        Orderable<typename C::value_type>::value
    >> {
        template <typename X, typename Y>
        static constexpr auto apply(X const&, Y const&) {
            constexpr auto is_less = hana::less(hana::value<X>(), hana::value<Y>());
            constexpr bool truth_value = hana::if_(is_less, true, false);
            return hana::bool_c<truth_value>;
        }
    };




    template <typename T, typename U>
    struct less_impl<T, U, when<hana::Product<T>::value && hana::Product<U>::value>> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X const& x, Y const& y) {
            return hana::or_(
                hana::less(hana::first(x), hana::first(y)),
                hana::and_(
                    hana::less_equal(hana::first(x), hana::first(y)),
                    hana::less(hana::second(x), hana::second(y))
                )
            );
        }
    };




    template <typename T, typename U>
    struct less_impl<T, U, when<
        hana::Sequence<T>::value && hana::Sequence<U>::value
    >> {
        template <typename Xs, typename Ys>
        static constexpr auto apply(Xs const& xs, Ys const& ys)
        { return hana::lexicographical_compare(xs, ys); }
    };
}}
# 20 "test.cpp" 2
# 1 "/us/include/boost_1_64_0/boost/hana/minus.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/minus.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/group.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/group.hpp"
namespace boost { namespace hana {
# 107 "/us/include/boost_1_64_0/boost/hana/fwd/concept/group.hpp"
    template <typename G>
    struct Group;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/minus.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/negate.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/negate.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp" 1
# 15 "/us/include/boost_1_64_0/boost/hana/negate.hpp" 2




# 1 "/us/include/boost_1_64_0/boost/hana/zero.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/zero.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/zero.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/zero.hpp"
namespace boost { namespace hana {
# 34 "/us/include/boost_1_64_0/boost/hana/fwd/zero.hpp"
    template <typename M, typename = void>
    struct zero_impl : zero_impl<M, when<true>> { };

    template <typename M>
    struct zero_t;

    template <typename M>
    constexpr zero_t<M> zero{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/zero.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/monoid.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/monoid.hpp"
namespace boost { namespace hana {
# 97 "/us/include/boost_1_64_0/boost/hana/fwd/concept/monoid.hpp"
    template <typename M>
    struct Monoid;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/plus.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/plus.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/plus.hpp" 2
# 27 "/us/include/boost_1_64_0/boost/hana/plus.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr decltype(auto) plus_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using Plus = ::std::conditional_t< (hana::Monoid<T>::value && hana::Monoid<U>::value && !is_default<plus_impl<T, U>>::value), decltype(plus_impl<T, U>{}), ::boost::hana::deleted_implementation >;






        static_assert(hana::Monoid<T>::value,
        "hana::plus(x, y) requires 'x' to be a Monoid");

        static_assert(hana::Monoid<U>::value,
        "hana::plus(x, y) requires 'y' to be a Monoid");

        static_assert(!is_default<plus_impl<T, U>>::value,
        "hana::plus(x, y) requires 'x' and 'y' to be embeddable "
        "in a common Monoid");


        return Plus::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct plus_impl<T, U, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };


    template <typename T, typename U>
    struct plus_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Monoid, T, U>::value
    >> {
        using C = typename common<T, U>::type;
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::plus(hana::to<C>(static_cast<X&&>(x)),
                              hana::to<C>(static_cast<Y&&>(y)));
        }
    };




    template <typename T>
    struct plus_impl<T, T, when<
        std::is_arithmetic<T>::value &&
        !std::is_same<T, bool>::value
    >> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y)
        { return static_cast<X&&>(x) + static_cast<Y&&>(y); }
    };




    namespace detail {
        template <typename C, typename X, typename Y>
        struct constant_from_plus {
            static constexpr auto value = hana::plus(hana::value<X>(), hana::value<Y>());
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct plus_impl<C, C, when<
        hana::Constant<C>::value &&
        Monoid<typename C::value_type>::value
    >> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X const&, Y const&)
        { return hana::to<C>(detail::constant_from_plus<C, X, Y>{}); }
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/zero.hpp" 1
# 20 "/us/include/boost_1_64_0/boost/hana/concept/monoid.hpp" 2



namespace boost { namespace hana {
    template <typename M>
    struct Monoid
        : hana::integral_constant<bool,
            !is_default<zero_impl<typename tag_of<M>::type>>::value &&
            !is_default<plus_impl<typename tag_of<M>::type,
                                  typename tag_of<M>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/zero.hpp" 2
# 25 "/us/include/boost_1_64_0/boost/hana/zero.hpp"
namespace boost { namespace hana {
    template <typename M>
    struct zero_t {

        static_assert(hana::Monoid<M>::value,
        "hana::zero<M>() requires 'M' to be a Monoid");


        constexpr decltype(auto) operator()() const {
            using Zero = ::std::conditional_t< (hana::Monoid<M>::value), zero_impl<M>, ::boost::hana::deleted_implementation >;



            return Zero::apply();
        }
    };

    template <typename M, bool condition>
    struct zero_impl<M, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };




    template <typename T>
    struct zero_impl<T, when<
        std::is_arithmetic<T>::value &&
        !std::is_same<T, bool>::value
    >> {
        static constexpr T apply()
        { return static_cast<T>(0); }
    };




    namespace detail {
        template <typename C>
        struct constant_from_zero {
            static constexpr auto value = hana::zero<typename C::value_type>();
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct zero_impl<C, when<
        hana::Constant<C>::value &&
        Monoid<typename C::value_type>::value
    >> {
        static constexpr decltype(auto) apply()
        { return hana::to<C>(detail::constant_from_zero<C>{}); }
    };
}}
# 19 "/us/include/boost_1_64_0/boost/hana/negate.hpp" 2





namespace boost { namespace hana {

    template <typename X>
    constexpr decltype(auto) negate_t::operator()(X&& x) const {
        using G = typename hana::tag_of<X>::type;
        using Negate = ::std::conditional_t< (hana::Group<G>::value), negate_impl<G>, ::boost::hana::deleted_implementation >;




        static_assert(hana::Group<G>::value,
        "hana::negate(x) requires 'x' to be in a Group");


        return Negate::apply(static_cast<X&&>(x));
    }


    template <typename T, bool condition>
    struct negate_impl<T, when<condition>> : default_ {
        template <typename X>
        static constexpr decltype(auto) apply(X&& x)
        { return hana::minus(hana::zero<T>(), static_cast<X&&>(x)); }
    };




    template <typename T>
    struct negate_impl<T, when<std::is_arithmetic<T>::value &&
                               !std::is_same<bool, T>::value>> {
        template <typename X>
        static constexpr decltype(auto) apply(X&& x)
        { return -static_cast<X&&>(x); }
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/group.hpp" 2



namespace boost { namespace hana {
    template <typename G>
    struct Group
        : hana::integral_constant<bool,
            !is_default<negate_impl<typename tag_of<G>::type>>::value ||
            !is_default<minus_impl<typename tag_of<G>::type,
                                   typename tag_of<G>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/minus.hpp" 2
# 30 "/us/include/boost_1_64_0/boost/hana/minus.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr decltype(auto) minus_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using Minus = ::std::conditional_t< (hana::Group<T>::value && hana::Group<U>::value), decltype(minus_impl<T, U>{}), ::boost::hana::deleted_implementation >;





        static_assert(hana::Group<T>::value,
        "hana::minus(x, y) requires 'x' to be in a Group");

        static_assert(hana::Group<U>::value,
        "hana::minus(x, y) requires 'y' to be in a Group");


        return Minus::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct minus_impl<T, U, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };

    template <typename T, bool condition>
    struct minus_impl<T, T, when<condition>> : default_ {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::plus(static_cast<X&&>(x),
                              hana::negate(static_cast<Y&&>(y)));
        }
    };


    template <typename T, typename U>
    struct minus_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Group, T, U>::value
    >> {
        using C = typename common<T, U>::type;
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::minus(hana::to<C>(static_cast<X&&>(x)),
                               hana::to<C>(static_cast<Y&&>(y)));
        }
    };




    template <typename T>
    struct minus_impl<T, T, when<std::is_arithmetic<T>::value &&
                                 !std::is_same<bool, T>::value>> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y)
        { return static_cast<X&&>(x) - static_cast<Y&&>(y); }
    };




    namespace detail {
        template <typename C, typename X, typename Y>
        struct constant_from_minus {
            static constexpr auto value = hana::minus(hana::value<X>(), hana::value<Y>());
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct minus_impl<C, C, when<
        hana::Constant<C>::value &&
        Group<typename C::value_type>::value
    >> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X const&, Y const&)
        { return hana::to<C>(detail::constant_from_minus<C, X, Y>{}); }
    };
}}
# 21 "test.cpp" 2
# 1 "/us/include/boost_1_64_0/boost/hana/mult.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/mult.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/concept/ring.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/fwd/concept/ring.hpp"
namespace boost { namespace hana {
# 102 "/us/include/boost_1_64_0/boost/hana/fwd/concept/ring.hpp"
    template <typename R>
    struct Ring;
}}
# 13 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp" 2






# 1 "/us/include/boost_1_64_0/boost/hana/mult.hpp" 1
# 19 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp" 2

# 1 "/us/include/boost_1_64_0/boost/hana/one.hpp" 1
# 13 "/us/include/boost_1_64_0/boost/hana/one.hpp"
# 1 "/us/include/boost_1_64_0/boost/hana/fwd/one.hpp" 1
# 17 "/us/include/boost_1_64_0/boost/hana/fwd/one.hpp"
namespace boost { namespace hana {
# 34 "/us/include/boost_1_64_0/boost/hana/fwd/one.hpp"
    template <typename R, typename = void>
    struct one_impl : one_impl<R, when<true>> { };

    template <typename R>
    struct one_t;

    template <typename R>
    constexpr one_t<R> one{};

}}
# 13 "/us/include/boost_1_64_0/boost/hana/one.hpp" 2



# 1 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp" 1
# 16 "/us/include/boost_1_64_0/boost/hana/one.hpp" 2
# 25 "/us/include/boost_1_64_0/boost/hana/one.hpp"
namespace boost { namespace hana {
    template <typename R>
    struct one_t {

        static_assert(hana::Ring<R>::value,
        "hana::one<R>() requires 'R' to be a Ring");


        constexpr decltype(auto) operator()() const {
            using One = ::std::conditional_t< (hana::Ring<R>::value), one_impl<R>, ::boost::hana::deleted_implementation >;



            return One::apply();
        }
    };

    template <typename R, bool condition>
    struct one_impl<R, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };




    template <typename T>
    struct one_impl<T, when<std::is_arithmetic<T>::value &&
                            !std::is_same<bool, T>::value>> {
        static constexpr T apply()
        { return static_cast<T>(1); }
    };




    namespace detail {
        template <typename C>
        struct constant_from_one {
            static constexpr auto value = hana::one<typename C::value_type>();
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct one_impl<C, when<
        hana::Constant<C>::value &&
        Ring<typename C::value_type>::value
    >> {
        static constexpr decltype(auto) apply()
        { return hana::to<C>(detail::constant_from_one<C>{}); }
    };
}}
# 20 "/us/include/boost_1_64_0/boost/hana/concept/ring.hpp" 2



namespace boost { namespace hana {
    template <typename R>
    struct Ring
        : hana::integral_constant<bool,
            !is_default<one_impl<typename tag_of<R>::type>>::value &&
            !is_default<mult_impl<typename tag_of<R>::type,
                                  typename tag_of<R>::type>>::value
        >
    { };
}}
# 16 "/us/include/boost_1_64_0/boost/hana/mult.hpp" 2
# 27 "/us/include/boost_1_64_0/boost/hana/mult.hpp"
namespace boost { namespace hana {

    template <typename X, typename Y>
    constexpr decltype(auto) mult_t::operator()(X&& x, Y&& y) const {
        using T = typename hana::tag_of<X>::type;
        using U = typename hana::tag_of<Y>::type;
        using Mult = ::std::conditional_t< (hana::Ring<T>::value && hana::Ring<U>::value && !is_default<mult_impl<T, U>>::value), decltype(mult_impl<T, U>{}), ::boost::hana::deleted_implementation >;






        static_assert(hana::Ring<T>::value,
        "hana::mult(x, y) requires 'x' to be in a Ring");

        static_assert(hana::Ring<U>::value,
        "hana::mult(x, y) requires 'y' to be in a Ring");

        static_assert(!is_default<mult_impl<T, U>>::value,
        "hana::mult(x, y) requires 'x' and 'y' to be embeddable "
        "in a common Ring");


        return Mult::apply(static_cast<X&&>(x), static_cast<Y&&>(y));
    }


    template <typename T, typename U, bool condition>
    struct mult_impl<T, U, when<condition>> : default_ {
        template <typename ...Args>
        static constexpr auto apply(Args&& ...) = delete;
    };


    template <typename T, typename U>
    struct mult_impl<T, U, when<
        detail::has_nontrivial_common_embedding<Ring, T, U>::value
    >> {
        using C = typename common<T, U>::type;
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y) {
            return hana::mult(hana::to<C>(static_cast<X&&>(x)),
                              hana::to<C>(static_cast<Y&&>(y)));
        }
    };




    template <typename T>
    struct mult_impl<T, T, when<std::is_arithmetic<T>::value &&
                                !std::is_same<bool, T>::value>> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X&& x, Y&& y)
        { return static_cast<X&&>(x) * static_cast<Y&&>(y); }
    };




    namespace detail {
        template <typename C, typename X, typename Y>
        struct constant_from_mult {
            static constexpr auto value = hana::mult(hana::value<X>(), hana::value<Y>());
            using hana_tag = detail::CanonicalConstant<typename C::value_type>;
        };
    }

    template <typename C>
    struct mult_impl<C, C, when<
        hana::Constant<C>::value &&
        Ring<typename C::value_type>::value
    >> {
        template <typename X, typename Y>
        static constexpr decltype(auto) apply(X const&, Y const&)
        { return hana::to<C>(detail::constant_from_mult<C, X, Y>{}); }
    };
}}
# 22 "test.cpp" 2

namespace hana = boost::hana;

template <typename T, typename = std::enable_if_t<
  !hana::Constant<T>::value
>>
constexpr T sqrt(T x) {
  T inf = 0, sup = (x == 1 ? 1 : x/2);
  while (!((sup - inf) <= 1 || ((sup*sup <= x) && ((sup+1)*(sup+1) > x)))) {
    T mid = (inf + sup) / 2;
    bool take_inf = mid*mid > x ? 1 : 0;
    inf = take_inf ? inf : mid;
    sup = take_inf ? mid : sup;
  }

  return sup*sup <= x ? sup : inf;
}

template <typename T, typename = std::enable_if_t<
  hana::Constant<T>::value
>>
constexpr auto sqrt(T const&) {
  return hana::integral_c<typename T::value_type, sqrt(T::value)>;
}

# 92 "test.cpp"
extern const int calculated_distance;

namespace hana = boost::hana;
using namespace hana::literals;

// Most be in header
extern const int calculated_distance;

template <typename X, typename Y>
struct _point {
  X x;
  Y y;
};
template <typename X, typename Y>
constexpr _point<X, Y> point(X x, Y y) { return {x, y}; }

template <typename P1, typename P2>
constexpr auto distance(P1 p1, P2 p2) {
  auto xs = p1.x - p2.x;
  auto ys = p1.y - p2.y;
  return sqrt(xs*xs + ys*ys);
}

// This goes into .cc
constexpr int calculated_distance = distance(point(3_c, 5_c), point(7_c, 2_c));