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

#ifndef _LIBCPP_BITSET
#define _LIBCPP_BITSET

// clang-format off

/*
    bitset synopsis

namespace std
{

namespace std {

template <size_t N>
class bitset
{
public:
    // bit reference:
    class reference
    {
        friend class bitset;
        reference() noexcept;
    public:
        ~reference() noexcept;
        reference& operator=(bool x) noexcept;           // for b[i] = x;
        reference& operator=(const reference&) noexcept; // for b[i] = b[j];
        bool operator~() const noexcept;                 // flips the bit
        operator bool() const noexcept;                  // for x = b[i];
        reference& flip() noexcept;                      // for b[i].flip();
    };

    // 23.3.5.1 constructors:
    constexpr bitset() noexcept;
    constexpr bitset(unsigned long long val) noexcept;
    template <class charT>
        constexpr explicit bitset(const charT* str,
            typename basic_string<charT>::size_type n = basic_string<charT>::npos,
            charT zero = charT('0'), charT one = charT('1'));                                // until C++26, constexpr since C++23
    template <class charT>
        constexpr explicit bitset(const charT* str,
            typename basic_string_view<charT>::size_type n = basic_string_view<charT>::npos,
            charT zero = charT('0'), charT one = charT('1'));                                // since C++26
    template<class charT, class traits>
        explicit bitset(
            const basic_string_view<charT,traits>& str,
            typename basic_string_view<charT,traits>::size_type pos = 0,
            typename basic_string_view<charT,traits>::size_type n = basic_string_view<charT,traits>::npos,
            charT zero = charT('0'), charT one = charT('1'));                                // since C++26
    template<class charT, class traits, class Allocator>
        constexpr explicit bitset(
            const basic_string<charT,traits,Allocator>& str,
            typename basic_string<charT,traits,Allocator>::size_type pos = 0,
            typename basic_string<charT,traits,Allocator>::size_type n = basic_string<charT,traits,Allocator>::npos,
            charT zero = charT('0'), charT one = charT('1'));                                // constexpr since C++23

    // 23.3.5.2 bitset operations:
    bitset& operator&=(const bitset& rhs) noexcept; // constexpr since C++23
    bitset& operator|=(const bitset& rhs) noexcept; // constexpr since C++23
    bitset& operator^=(const bitset& rhs) noexcept; // constexpr since C++23
    bitset& operator<<=(size_t pos) noexcept;       // constexpr since C++23
    bitset& operator>>=(size_t pos) noexcept;       // constexpr since C++23
    bitset& set() noexcept;                         // constexpr since C++23
    bitset& set(size_t pos, bool val = true);       // constexpr since C++23
    bitset& reset() noexcept;                       // constexpr since C++23
    bitset& reset(size_t pos);                      // constexpr since C++23
    bitset operator~() const noexcept;              // constexpr since C++23
    bitset& flip() noexcept;                        // constexpr since C++23
    bitset& flip(size_t pos);                       // constexpr since C++23

    // element access:
    constexpr bool operator[](size_t pos) const;
    reference operator[](size_t pos);            // constexpr since C++23
    unsigned long to_ulong() const;              // constexpr since C++23
    unsigned long long to_ullong() const;        // constexpr since C++23
    template <class charT, class traits, class Allocator> // constexpr since C++23
        basic_string<charT, traits, Allocator> to_string(charT zero = charT('0'), charT one = charT('1')) const;
    template <class charT, class traits> // constexpr since C++23
        basic_string<charT, traits, allocator<charT> > to_string(charT zero = charT('0'), charT one = charT('1')) const;
    template <class charT> // constexpr since C++23
        basic_string<charT, char_traits<charT>, allocator<charT> > to_string(charT zero = charT('0'), charT one = charT('1')) const;
    basic_string<char, char_traits<char>, allocator<char> > to_string(char zero = '0', char one = '1') const; // constexpr since C++23
    size_t count() const noexcept;                     // constexpr since C++23
    constexpr size_t size() const noexcept;            // constexpr since C++23
    bool operator==(const bitset& rhs) const noexcept; // constexpr since C++23
    bool operator!=(const bitset& rhs) const noexcept; // removed in C++20
    bool test(size_t pos) const;                       // constexpr since C++23
    bool all() const noexcept;                         // constexpr since C++23
    bool any() const noexcept;                         // constexpr since C++23
    bool none() const noexcept;                        // constexpr since C++23
    bitset<N> operator<<(size_t pos) const noexcept;   // constexpr since C++23
    bitset<N> operator>>(size_t pos) const noexcept;   // constexpr since C++23
};

// 23.3.5.3 bitset operators:
template <size_t N>
bitset<N> operator&(const bitset<N>&, const bitset<N>&) noexcept; // constexpr since C++23

template <size_t N>
bitset<N> operator|(const bitset<N>&, const bitset<N>&) noexcept; // constexpr since C++23

template <size_t N>
bitset<N> operator^(const bitset<N>&, const bitset<N>&) noexcept; // constexpr since C++23

template <class charT, class traits, size_t N>
basic_istream<charT, traits>&
operator>>(basic_istream<charT, traits>& is, bitset<N>& x);

template <class charT, class traits, size_t N>
basic_ostream<charT, traits>&
operator<<(basic_ostream<charT, traits>& os, const bitset<N>& x);

template <size_t N> struct hash<std::bitset<N>>;

}  // std

*/

// clang-format on

#if __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)
#  include <__cxx03/bitset>
#else
#  include <__algorithm/copy.h>
#  include <__algorithm/copy_backward.h>
#  include <__algorithm/count.h>
#  include <__algorithm/equal.h>
#  include <__algorithm/fill.h>
#  include <__algorithm/fill_n.h>
#  include <__algorithm/find.h>
#  include <__algorithm/min.h>
#  include <__assert>
#  include <__bit/countr.h>
#  include <__bit/invert_if.h>
#  include <__bit_reference>
#  include <__config>
#  include <__cstddef/ptrdiff_t.h>
#  include <__cstddef/size_t.h>
#  include <__functional/hash.h>
#  include <__functional/identity.h>
#  include <__functional/unary_function.h>
#  include <__type_traits/enable_if.h>
#  include <__type_traits/integral_constant.h>
#  include <__type_traits/is_char_like_type.h>
#  include <__utility/integer_sequence.h>
#  include <climits>
#  include <stdexcept>
#  include <string_view>
#  include <version>

// standard-mandated includes

// [bitset.syn]
#  include <iosfwd>
#  include <string>

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

_LIBCPP_PUSH_MACROS
#  include <__undef_macros>

_LIBCPP_BEGIN_NAMESPACE_STD

template <size_t _N_words, size_t _Size>
class __bitset;

template <size_t _N_words, size_t _Size>
struct __has_storage_type<__bitset<_N_words, _Size> > {
  static const bool value = true;
};

template <size_t _N_words, size_t _Size>
class __bitset {
public:
  typedef size_t __storage_type;

protected:
  typedef __bitset __self;
  typedef __storage_type* __storage_pointer;
  typedef const __storage_type* __const_storage_pointer;
  static const unsigned __bits_per_word = static_cast<unsigned>(sizeof(__storage_type) * CHAR_BIT);

  friend class __bit_reference<__bitset>;
  friend class __bit_const_reference<__bitset>;
  friend class __bit_iterator<__bitset, false>;
  friend class __bit_iterator<__bitset, true>;
  friend struct __bit_array<__bitset>;

  __storage_type __first_[_N_words];

  typedef __bit_reference<__bitset> reference;
  typedef __bit_const_reference<__bitset> __const_reference;
  typedef __bit_iterator<__bitset, false> __iterator;
  typedef __bit_iterator<__bitset, true> __const_iterator;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __bitset() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR __bitset(unsigned long long __v) _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 reference __make_ref(size_t __pos) _NOEXCEPT {
    return reference(__first_ + __pos / __bits_per_word, __storage_type(1) << __pos % __bits_per_word);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __const_reference __make_ref(size_t __pos) const _NOEXCEPT {
    return __const_reference(__first_ + __pos / __bits_per_word, __storage_type(1) << __pos % __bits_per_word);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __iterator __make_iter(size_t __pos) _NOEXCEPT {
    return __iterator(__first_ + __pos / __bits_per_word, __pos % __bits_per_word);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __const_iterator __make_iter(size_t __pos) const _NOEXCEPT {
    return __const_iterator(__first_ + __pos / __bits_per_word, __pos % __bits_per_word);
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator&=(const __bitset& __v) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator|=(const __bitset& __v) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator^=(const __bitset& __v) _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void flip() _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long to_ulong() const {
    if _LIBCPP_CONSTEXPR (_Size > sizeof(unsigned long) * CHAR_BIT) {
      if (auto __e = __make_iter(_Size); std::find(__make_iter(sizeof(unsigned long) * CHAR_BIT), __e, true) != __e)
        std::__throw_overflow_error("__bitset<_N_words, _Size>::to_ulong overflow error");
    }

    static_assert(sizeof(__storage_type) >= sizeof(unsigned long),
                  "libc++ only supports platforms where sizeof(size_t) >= sizeof(unsigned long), such as 32-bit and "
                  "64-bit platforms. If you're interested in supporting a platform where that is not the case, please "
                  "contact the libc++ developers.");
    return static_cast<unsigned long>(__first_[0]);
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long long to_ullong() const {
    // Check for overflow if _Size does not fit in unsigned long long
    if _LIBCPP_CONSTEXPR (_Size > sizeof(unsigned long long) * CHAR_BIT) {
      if (auto __e = __make_iter(_Size);
          std::find(__make_iter(sizeof(unsigned long long) * CHAR_BIT), __e, true) != __e)
        std::__throw_overflow_error("__bitset<_N_words, _Size>::to_ullong overflow error");
    }

    // At this point, the effective bitset size (excluding leading zeros) fits in unsigned long long

    if _LIBCPP_CONSTEXPR (sizeof(__storage_type) >= sizeof(unsigned long long)) {
      // If __storage_type is at least as large as unsigned long long, the result spans only one word
      return static_cast<unsigned long long>(__first_[0]);
    } else {
      // Otherwise, the result spans multiple words which are concatenated
      const size_t __ull_words = (sizeof(unsigned long long) - 1) / sizeof(__storage_type) + 1;
      const size_t __n_words   = _N_words < __ull_words ? _N_words : __ull_words;
      unsigned long long __r   = static_cast<unsigned long long>(__first_[0]);
      for (size_t __i = 1; __i < __n_words; ++__i)
        __r |= static_cast<unsigned long long>(__first_[__i]) << (__bits_per_word * __i);
      return __r;
    }
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool all() const _NOEXCEPT { return !__scan_bits(__bit_not()); }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool any() const _NOEXCEPT {
    return __scan_bits(std::__identity());
  }
  _LIBCPP_HIDE_FROM_ABI size_t __hash_code() const _NOEXCEPT;

  template <bool _Sparse, class _CharT, class _Traits, class _Allocator>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, _Allocator>
  __to_string(_CharT __zero, _CharT __one) const {
    basic_string<_CharT, _Traits, _Allocator> __r(_Size, _Sparse ? __zero : __one);
    for (size_t __i = 0, __bits = 0; __i < _N_words; ++__i, __bits += __bits_per_word) {
      __storage_type __word = std::__invert_if<!_Sparse>(__first_[__i]);
      if (__i == _N_words - 1 && _Size - __bits < __bits_per_word)
        __word &= (__storage_type(1) << (_Size - __bits)) - 1;
      for (; __word; __word &= (__word - 1))
        __r[_Size - 1 - (__bits + std::__countr_zero(__word))] = _Sparse ? __one : __zero;
    }

    return __r;
  }

private:
  struct __bit_not {
    template <class _Tp>
    _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _Tp operator()(const _Tp& __x) const _NOEXCEPT {
      return ~__x;
    }
  };

  template <typename _Proj>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool __scan_bits(_Proj __proj) const _NOEXCEPT {
    size_t __n                  = _Size;
    __const_storage_pointer __p = __first_;
    // do middle whole words
    for (; __n >= __bits_per_word; ++__p, __n -= __bits_per_word)
      if (__proj(*__p))
        return true;
    // do last partial word
    if (__n > 0) {
      __storage_type __m = ~__storage_type(0) >> (__bits_per_word - __n);
      if (__proj(*__p) & __m)
        return true;
    }
    return false;
  }

#  ifdef _LIBCPP_CXX03_LANG
  void __init(unsigned long long __v, false_type) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI void __init(unsigned long long __v, true_type) _NOEXCEPT;
#  else
  template <size_t... _Indices>
  _LIBCPP_HIDE_FROM_ABI constexpr __bitset(unsigned long long __v, __index_sequence<_Indices...>) _NOEXCEPT
      : __first_{static_cast<__storage_type>(__v >> (_Indices * __bits_per_word))...} {}
#  endif // _LIBCPP_CXX03_LANG
};

template <size_t _N_words, size_t _Size>
inline _LIBCPP_CONSTEXPR __bitset<_N_words, _Size>::__bitset() _NOEXCEPT
#  ifndef _LIBCPP_CXX03_LANG
    : __first_{0}
#  endif
{
#  ifdef _LIBCPP_CXX03_LANG
  std::fill_n(__first_, _N_words, __storage_type(0));
#  endif
}

#  ifdef _LIBCPP_CXX03_LANG

template <size_t _N_words, size_t _Size>
void __bitset<_N_words, _Size>::__init(unsigned long long __v, false_type) _NOEXCEPT {
  const size_t __n_words = std::min((sizeof(unsigned long long) - 1) / sizeof(__storage_type) + 1, _N_words);
  for (size_t __i = 0; __i < __n_words; ++__i, __v >>= __bits_per_word)
    __first_[__i] = static_cast<__storage_type>(__v);
  std::fill(__first_ + __n_words, __first_ + _N_words, __storage_type(0));
}

template <size_t _N_words, size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI void __bitset<_N_words, _Size>::__init(unsigned long long __v, true_type) _NOEXCEPT {
  __first_[0] = __v;
  std::fill(__first_ + 1, __first_ + _N_words, __storage_type(0));
}

#  endif // _LIBCPP_CXX03_LANG

template <size_t _N_words, size_t _Size>
inline _LIBCPP_CONSTEXPR __bitset<_N_words, _Size>::__bitset(unsigned long long __v) _NOEXCEPT
#  ifndef _LIBCPP_CXX03_LANG
    : __bitset(__v,
               __make_index_sequence<(_N_words < (sizeof(unsigned long long) - 1) / sizeof(__storage_type) + 1)
                                         ? _N_words
                                         : (sizeof(unsigned long long) - 1) / sizeof(__storage_type) + 1>())
#  endif
{
#  ifdef _LIBCPP_CXX03_LANG
  __init(__v, _BoolConstant<sizeof(unsigned long long) <= sizeof(__storage_type)>());
#  endif
}

template <size_t _N_words, size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<_N_words, _Size>::operator&=(const __bitset& __v) _NOEXCEPT {
  for (size_t __i = 0; __i < _N_words; ++__i)
    __first_[__i] &= __v.__first_[__i];
}

template <size_t _N_words, size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<_N_words, _Size>::operator|=(const __bitset& __v) _NOEXCEPT {
  for (size_t __i = 0; __i < _N_words; ++__i)
    __first_[__i] |= __v.__first_[__i];
}

template <size_t _N_words, size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<_N_words, _Size>::operator^=(const __bitset& __v) _NOEXCEPT {
  for (size_t __i = 0; __i < _N_words; ++__i)
    __first_[__i] ^= __v.__first_[__i];
}

template <size_t _N_words, size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void __bitset<_N_words, _Size>::flip() _NOEXCEPT {
  // do middle whole words
  size_t __n            = _Size;
  __storage_pointer __p = __first_;
  for (; __n >= __bits_per_word; ++__p, __n -= __bits_per_word)
    *__p = ~*__p;
  // do last partial word
  // Ensure trailing padding bits are zeroed as part of the ABI for consistent hashing behavior. std::hash<bitset>
  // assumes trailing bits are zeroed; otherwise, identical bitsets could hash differently.
  if (__n > 0)
    *__p ^= (__storage_type(1) << __n) - 1;
}

template <size_t _N_words, size_t _Size>
inline size_t __bitset<_N_words, _Size>::__hash_code() const _NOEXCEPT {
  size_t __h = 0;
  for (size_t __i = 0; __i < _N_words; ++__i)
    __h ^= __first_[__i];
  return __h;
}

template <size_t _Size>
class __bitset<1, _Size> {
public:
  typedef size_t __storage_type;

protected:
  typedef __bitset __self;
  typedef __storage_type* __storage_pointer;
  typedef const __storage_type* __const_storage_pointer;
  static const unsigned __bits_per_word = static_cast<unsigned>(sizeof(__storage_type) * CHAR_BIT);

  friend class __bit_reference<__bitset>;
  friend class __bit_const_reference<__bitset>;
  friend class __bit_iterator<__bitset, false>;
  friend class __bit_iterator<__bitset, true>;
  friend struct __bit_array<__bitset>;

  __storage_type __first_;

  typedef __bit_reference<__bitset> reference;
  typedef __bit_const_reference<__bitset> __const_reference;
  typedef __bit_iterator<__bitset, false> __iterator;
  typedef __bit_iterator<__bitset, true> __const_iterator;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __bitset() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR __bitset(unsigned long long __v) _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 reference __make_ref(size_t __pos) _NOEXCEPT {
    return reference(&__first_, __storage_type(1) << __pos);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __const_reference __make_ref(size_t __pos) const _NOEXCEPT {
    return __const_reference(&__first_, __storage_type(1) << __pos);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __iterator __make_iter(size_t __pos) _NOEXCEPT {
    // Allow the == case to accommodate the past-the-end iterator.
    _LIBCPP_ASSERT_INTERNAL(__pos <= __bits_per_word, "Out of bounds access in the single-word bitset implementation.");
    return __pos != __bits_per_word ? __iterator(&__first_, __pos) : __iterator(&__first_ + 1, 0);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __const_iterator __make_iter(size_t __pos) const _NOEXCEPT {
    // Allow the == case to accommodate the past-the-end iterator.
    _LIBCPP_ASSERT_INTERNAL(__pos <= __bits_per_word, "Out of bounds access in the single-word bitset implementation.");
    return __pos != __bits_per_word ? __const_iterator(&__first_, __pos) : __const_iterator(&__first_ + 1, 0);
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator&=(const __bitset& __v) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator|=(const __bitset& __v) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator^=(const __bitset& __v) _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void flip() _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long to_ulong() const {
    if _LIBCPP_CONSTEXPR (_Size > sizeof(unsigned long) * CHAR_BIT) {
      if (auto __e = __make_iter(_Size); std::find(__make_iter(sizeof(unsigned long) * CHAR_BIT), __e, true) != __e)
        __throw_overflow_error("__bitset<1, _Size>::to_ulong overflow error");
    }
    return static_cast<unsigned long>(__first_);
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long long to_ullong() const {
    // If _Size exceeds the size of unsigned long long, check for overflow
    if _LIBCPP_CONSTEXPR (_Size > sizeof(unsigned long long) * CHAR_BIT) {
      if (auto __e = __make_iter(_Size);
          std::find(__make_iter(sizeof(unsigned long long) * CHAR_BIT), __e, true) != __e)
        __throw_overflow_error("__bitset<1, _Size>::to_ullong overflow error");
    }

    // If _Size fits or no overflow, directly cast to unsigned long long
    return static_cast<unsigned long long>(__first_);
  }

  template <bool _Sparse, class _CharT, class _Traits, class _Allocator>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, _Allocator>
  __to_string(_CharT __zero, _CharT __one) const {
    basic_string<_CharT, _Traits, _Allocator> __r(_Size, _Sparse ? __zero : __one);
    __storage_type __word = std::__invert_if<!_Sparse>(__first_);
    if (_Size < __bits_per_word)
      __word &= (__storage_type(1) << _Size) - 1;
    for (; __word; __word &= (__word - 1)) {
      size_t __pos           = std::__countr_zero(__word);
      __r[_Size - 1 - __pos] = _Sparse ? __one : __zero;
    }
    return __r;
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool all() const _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool any() const _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI size_t __hash_code() const _NOEXCEPT;
};

template <size_t _Size>
inline _LIBCPP_CONSTEXPR __bitset<1, _Size>::__bitset() _NOEXCEPT : __first_(0) {}

template <size_t _Size>
inline _LIBCPP_CONSTEXPR __bitset<1, _Size>::__bitset(unsigned long long __v) _NOEXCEPT
    // TODO: We must refer to __bits_per_word in order to work around an issue with the GDB pretty-printers.
    //       Without it, the pretty-printers complain about a missing __bits_per_word member. This needs to
    //       be investigated further.
    : __first_(_Size == __bits_per_word ? static_cast<__storage_type>(__v) : static_cast<__storage_type>(__v)) {}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<1, _Size>::operator&=(const __bitset& __v) _NOEXCEPT {
  __first_ &= __v.__first_;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<1, _Size>::operator|=(const __bitset& __v) _NOEXCEPT {
  __first_ |= __v.__first_;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
__bitset<1, _Size>::operator^=(const __bitset& __v) _NOEXCEPT {
  __first_ ^= __v.__first_;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void __bitset<1, _Size>::flip() _NOEXCEPT {
  __first_ ^= ~__storage_type(0) >> (__bits_per_word - _Size);
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool __bitset<1, _Size>::all() const _NOEXCEPT {
  __storage_type __m = ~__storage_type(0) >> (__bits_per_word - _Size);
  return !(~__first_ & __m);
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool __bitset<1, _Size>::any() const _NOEXCEPT {
  __storage_type __m = ~__storage_type(0) >> (__bits_per_word - _Size);
  return __first_ & __m;
}

template <size_t _Size>
inline size_t __bitset<1, _Size>::__hash_code() const _NOEXCEPT {
  return __first_;
}

template <>
class __bitset<0, 0> {
public:
  typedef size_t __storage_type;

protected:
  typedef __bitset __self;
  typedef __storage_type* __storage_pointer;
  typedef const __storage_type* __const_storage_pointer;
  static const unsigned __bits_per_word = static_cast<unsigned>(sizeof(__storage_type) * CHAR_BIT);

  friend class __bit_reference<__bitset>;
  friend class __bit_const_reference<__bitset>;
  friend class __bit_iterator<__bitset, false>;
  friend class __bit_iterator<__bitset, true>;
  friend struct __bit_array<__bitset>;

  typedef __bit_reference<__bitset> reference;
  typedef __bit_const_reference<__bitset> __const_reference;
  typedef __bit_iterator<__bitset, false> __iterator;
  typedef __bit_iterator<__bitset, true> __const_iterator;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __bitset() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR __bitset(unsigned long long) _NOEXCEPT;

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 reference __make_ref(size_t) _NOEXCEPT {
    return reference(nullptr, 1);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __const_reference __make_ref(size_t) const _NOEXCEPT {
    return __const_reference(nullptr, 1);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __iterator __make_iter(size_t) _NOEXCEPT {
    return __iterator(nullptr, 0);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 __const_iterator __make_iter(size_t) const _NOEXCEPT {
    return __const_iterator(nullptr, 0);
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator&=(const __bitset&) _NOEXCEPT {}
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator|=(const __bitset&) _NOEXCEPT {}
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void operator^=(const __bitset&) _NOEXCEPT {}

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void flip() _NOEXCEPT {}

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long to_ulong() const { return 0; }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long long to_ullong() const { return 0; }

  template <bool _Sparse, class _CharT, class _Traits, class _Allocator>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, _Allocator>
  __to_string(_CharT, _CharT) const {
    return basic_string<_CharT, _Traits, _Allocator>();
  }

  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool all() const _NOEXCEPT { return true; }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool any() const _NOEXCEPT { return false; }

  _LIBCPP_HIDE_FROM_ABI size_t __hash_code() const _NOEXCEPT { return 0; }
};

inline _LIBCPP_CONSTEXPR __bitset<0, 0>::__bitset() _NOEXCEPT {}

inline _LIBCPP_CONSTEXPR __bitset<0, 0>::__bitset(unsigned long long) _NOEXCEPT {}

template <size_t _Size>
class bitset;
template <size_t _Size>
struct hash<bitset<_Size> >;

template <size_t _Size>
class bitset : private __bitset<_Size == 0 ? 0 : (_Size - 1) / (sizeof(size_t) * CHAR_BIT) + 1, _Size> {
public:
  static const unsigned __n_words = _Size == 0 ? 0 : (_Size - 1) / (sizeof(size_t) * CHAR_BIT) + 1;
  typedef __bitset<__n_words, _Size> __base;
  typedef typename __base::reference reference;
  typedef typename __base::__const_reference __const_reference;

  // 23.3.5.1 constructors:
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bitset() _NOEXCEPT {}
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bitset(unsigned long long __v) _NOEXCEPT
      : __base(sizeof(unsigned long long) * CHAR_BIT <= _Size ? __v : __v & ((1ULL << _Size) - 1)) {}
  template <class _CharT, __enable_if_t<_IsCharLikeType<_CharT>::value, int> = 0>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 explicit bitset(
      const _CharT* __str,
      size_t __n    = basic_string<_CharT>::npos,
      _CharT __zero = _CharT('0'),
      _CharT __one  = _CharT('1')) {
    if (__n == basic_string<_CharT>::npos)
      __init_from_string_view(basic_string_view<_CharT>(__str), __zero, __one);
    else
      __init_from_string_view(basic_string_view<_CharT>(__str, __n), __zero, __one);
  }
#  if _LIBCPP_STD_VER >= 26
  template <class _CharT, class _Traits>
  _LIBCPP_HIDE_FROM_ABI constexpr explicit bitset(
      basic_string_view<_CharT, _Traits> __str,
      typename basic_string_view<_CharT, _Traits>::size_type __pos = 0,
      typename basic_string_view<_CharT, _Traits>::size_type __n   = basic_string_view<_CharT, _Traits>::npos,
      _CharT __zero                                                = _CharT('0'),
      _CharT __one                                                 = _CharT('1')) {
    if (__pos > __str.size())
      std::__throw_out_of_range("bitset string pos out of range");

    size_t __rlen = std::min(__n, __str.size() - __pos);
    __init_from_string_view(basic_string_view<_CharT, _Traits>(__str.data() + __pos, __rlen), __zero, __one);
  }
#  endif
  template <class _CharT, class _Traits, class _Allocator>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 explicit bitset(
      const basic_string<_CharT, _Traits, _Allocator>& __str,
      typename basic_string<_CharT, _Traits, _Allocator>::size_type __pos = 0,
      typename basic_string<_CharT, _Traits, _Allocator>::size_type __n =
          basic_string<_CharT, _Traits, _Allocator>::npos,
      _CharT __zero = _CharT('0'),
      _CharT __one  = _CharT('1')) {
    if (__pos > __str.size())
      std::__throw_out_of_range("bitset string pos out of range");

    size_t __rlen = std::min(__n, __str.size() - __pos);
    __init_from_string_view(basic_string_view<_CharT, _Traits>(__str.data() + __pos, __rlen), __zero, __one);
  }

  // 23.3.5.2 bitset operations:
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& operator&=(const bitset& __rhs) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& operator|=(const bitset& __rhs) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& operator^=(const bitset& __rhs) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& operator<<=(size_t __pos) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& operator>>=(size_t __pos) _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& set() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& set(size_t __pos, bool __val = true);
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& reset() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& reset(size_t __pos);
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset operator~() const _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& flip() _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset& flip(size_t __pos);

  // element access:
#  ifdef _LIBCPP_ABI_BITSET_VECTOR_BOOL_CONST_SUBSCRIPT_RETURN_BOOL
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator[](size_t __p) const {
    _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS(__p < _Size, "bitset::operator[] index out of bounds");
    return __base::__make_ref(__p);
  }
#  else
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __const_reference operator[](size_t __p) const {
    _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS(__p < _Size, "bitset::operator[] index out of bounds");
    return __base::__make_ref(__p);
  }
#  endif
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 reference operator[](size_t __p) {
    _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS(__p < _Size, "bitset::operator[] index out of bounds");
    return __base::__make_ref(__p);
  }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long to_ulong() const { return __base::to_ulong(); }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 unsigned long long to_ullong() const {
    return __base::to_ullong();
  }
  template <class _CharT, class _Traits, class _Allocator>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, _Allocator>
  to_string(_CharT __zero = _CharT('0'), _CharT __one = _CharT('1')) const;
  template <class _CharT, class _Traits>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, allocator<_CharT> >
  to_string(_CharT __zero = _CharT('0'), _CharT __one = _CharT('1')) const;
  template <class _CharT>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, char_traits<_CharT>, allocator<_CharT> >
  to_string(_CharT __zero = _CharT('0'), _CharT __one = _CharT('1')) const;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<char, char_traits<char>, allocator<char> >
  to_string(char __zero = '0', char __one = '1') const;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 size_t count() const _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR size_t size() const _NOEXCEPT { return _Size; }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool operator==(const bitset& __rhs) const _NOEXCEPT;
#  if _LIBCPP_STD_VER <= 17
  _LIBCPP_HIDE_FROM_ABI bool operator!=(const bitset& __rhs) const _NOEXCEPT;
#  endif
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool test(size_t __pos) const;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool all() const _NOEXCEPT { return __base::all(); }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool any() const _NOEXCEPT { return __base::any(); }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool none() const _NOEXCEPT { return !any(); }
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset operator<<(size_t __pos) const _NOEXCEPT;
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset operator>>(size_t __pos) const _NOEXCEPT;

private:
  template <class _CharT, class _Traits>
  _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 void
  __init_from_string_view(basic_string_view<_CharT, _Traits> __str, _CharT __zero, _CharT __one) {
    for (size_t __i = 0; __i < __str.size(); ++__i)
      if (!_Traits::eq(__str[__i], __zero) && !_Traits::eq(__str[__i], __one))
        std::__throw_invalid_argument("bitset string ctor has invalid argument");

    size_t __mp = std::min(__str.size(), _Size);
    size_t __i  = 0;
    for (; __i < __mp; ++__i) {
      _CharT __c   = __str[__mp - 1 - __i];
      (*this)[__i] = _Traits::eq(__c, __one);
    }
  }

  _LIBCPP_HIDE_FROM_ABI size_t __hash_code() const _NOEXCEPT { return __base::__hash_code(); }

  friend struct hash<bitset>;
};

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>&
bitset<_Size>::operator&=(const bitset& __rhs) _NOEXCEPT {
  __base::operator&=(__rhs);
  return *this;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>&
bitset<_Size>::operator|=(const bitset& __rhs) _NOEXCEPT {
  __base::operator|=(__rhs);
  return *this;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>&
bitset<_Size>::operator^=(const bitset& __rhs) _NOEXCEPT {
  __base::operator^=(__rhs);
  return *this;
}

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::operator<<=(size_t __pos) _NOEXCEPT {
  __pos = std::min(__pos, _Size);
  std::copy_backward(__base::__make_iter(0), __base::__make_iter(_Size - __pos), __base::__make_iter(_Size));
  std::fill_n(__base::__make_iter(0), __pos, false);
  return *this;
}

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::operator>>=(size_t __pos) _NOEXCEPT {
  __pos = std::min(__pos, _Size);
  std::copy(__base::__make_iter(__pos), __base::__make_iter(_Size), __base::__make_iter(0));
  std::fill_n(__base::__make_iter(_Size - __pos), __pos, false);
  return *this;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::set() _NOEXCEPT {
  std::fill_n(__base::__make_iter(0), _Size, true);
  return *this;
}

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::set(size_t __pos, bool __val) {
  if (__pos >= _Size)
    std::__throw_out_of_range("bitset set argument out of range");

  (*this)[__pos] = __val;
  return *this;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::reset() _NOEXCEPT {
  std::fill_n(__base::__make_iter(0), _Size, false);
  return *this;
}

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::reset(size_t __pos) {
  if (__pos >= _Size)
    std::__throw_out_of_range("bitset reset argument out of range");

  (*this)[__pos] = false;
  return *this;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size> bitset<_Size>::operator~() const _NOEXCEPT {
  bitset __x(*this);
  __x.flip();
  return __x;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::flip() _NOEXCEPT {
  __base::flip();
  return *this;
}

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>& bitset<_Size>::flip(size_t __pos) {
  if (__pos >= _Size)
    std::__throw_out_of_range("bitset flip argument out of range");

  reference __r = __base::__make_ref(__pos);
  __r           = ~__r;
  return *this;
}

template <size_t _Size>
template <class _CharT, class _Traits, class _Allocator>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, _Allocator>
bitset<_Size>::to_string(_CharT __zero, _CharT __one) const {
  bool __sparse = size_t(std::count(__base::__make_iter(0), __base::__make_iter(_Size), true)) < _Size / 2;
  if (__sparse)
    return __base::template __to_string<true, _CharT, _Traits, _Allocator>(__zero, __one);
  else
    return __base::template __to_string<false, _CharT, _Traits, _Allocator>(__zero, __one);
}

template <size_t _Size>
template <class _CharT, class _Traits>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, _Traits, allocator<_CharT> >
bitset<_Size>::to_string(_CharT __zero, _CharT __one) const {
  return to_string<_CharT, _Traits, allocator<_CharT> >(__zero, __one);
}

template <size_t _Size>
template <class _CharT>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<_CharT, char_traits<_CharT>, allocator<_CharT> >
bitset<_Size>::to_string(_CharT __zero, _CharT __one) const {
  return to_string<_CharT, char_traits<_CharT>, allocator<_CharT> >(__zero, __one);
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 basic_string<char, char_traits<char>, allocator<char> >
bitset<_Size>::to_string(char __zero, char __one) const {
  return to_string<char, char_traits<char>, allocator<char> >(__zero, __one);
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 size_t bitset<_Size>::count() const _NOEXCEPT {
#  if defined(_LIBCPP_COMPILER_CLANG_BASED) && !defined(_LIBCPP_CXX03_LANG)
  if constexpr (_Size == 0) {
    return 0;
  } else if constexpr (_Size <= __base::__bits_per_word) {
    return __builtin_popcountg(static_cast<unsigned _BitInt(_Size)>(__base::__first_));
  } else
#  endif
  {
    return static_cast<size_t>(std::count(__base::__make_iter(0), __base::__make_iter(_Size), true));
  }
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool
bitset<_Size>::operator==(const bitset& __rhs) const _NOEXCEPT {
  return std::equal(__base::__make_iter(0), __base::__make_iter(_Size), __rhs.__make_iter(0));
}

#  if _LIBCPP_STD_VER <= 17

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI bool bitset<_Size>::operator!=(const bitset& __rhs) const _NOEXCEPT {
  return !(*this == __rhs);
}

#  endif

template <size_t _Size>
_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bool bitset<_Size>::test(size_t __pos) const {
  if (__pos >= _Size)
    std::__throw_out_of_range("bitset test argument out of range");

  return (*this)[__pos];
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>
bitset<_Size>::operator<<(size_t __pos) const _NOEXCEPT {
  bitset __r = *this;
  __r <<= __pos;
  return __r;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>
bitset<_Size>::operator>>(size_t __pos) const _NOEXCEPT {
  bitset __r = *this;
  __r >>= __pos;
  return __r;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>
operator&(const bitset<_Size>& __x, const bitset<_Size>& __y) _NOEXCEPT {
  bitset<_Size> __r = __x;
  __r &= __y;
  return __r;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>
operator|(const bitset<_Size>& __x, const bitset<_Size>& __y) _NOEXCEPT {
  bitset<_Size> __r = __x;
  __r |= __y;
  return __r;
}

template <size_t _Size>
inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX23 bitset<_Size>
operator^(const bitset<_Size>& __x, const bitset<_Size>& __y) _NOEXCEPT {
  bitset<_Size> __r = __x;
  __r ^= __y;
  return __r;
}

template <size_t _Size>
struct hash<bitset<_Size> > : public __unary_function<bitset<_Size>, size_t> {
  _LIBCPP_HIDE_FROM_ABI size_t operator()(const bitset<_Size>& __bs) const _NOEXCEPT { return __bs.__hash_code(); }
};

template <class _CharT, class _Traits, size_t _Size>
_LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __is, bitset<_Size>& __x);

template <class _CharT, class _Traits, size_t _Size>
_LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
operator<<(basic_ostream<_CharT, _Traits>& __os, const bitset<_Size>& __x);

_LIBCPP_END_NAMESPACE_STD

_LIBCPP_POP_MACROS

#  if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
#    include <concepts>
#    include <cstdlib>
#    include <optional>
#    include <type_traits>
#  endif
#endif // __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)

#endif // _LIBCPP_BITSET
