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//usr/include/c++/11/bitset

// <bitset> -*- C++ -*-

// Copyright (C) 2001-2021 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.

/*
 * Copyright (c) 1998
 * Silicon Graphics Computer Systems, Inc.
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Silicon Graphics makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 */

/** @file include/bitset
 *  This is a Standard C++ Library header.
 */

#ifndef _GLIBCXX_BITSET
#define _GLIBCXX_BITSET 1

#pragma GCC system_header

#include <string>
#include <bits/functexcept.h> // For invalid_argument, out_of_range,
 // overflow_error
#include <iosfwd>
#include <bits/cxxabi_forced.h>

#if __cplusplus >= 201103L
# include <bits/functional_hash.h>
#endif

#define _GLIBCXX_BITSET_BITS_PER_WORD  (__CHAR_BIT__ * __SIZEOF_LONG__)
#define _GLIBCXX_BITSET_WORDS(__n) \
  ((__n) / _GLIBCXX_BITSET_BITS_PER_WORD + \
   ((__n) % _GLIBCXX_BITSET_BITS_PER_WORD == 0 ? 0 : 1))

#define _GLIBCXX_BITSET_BITS_PER_ULL (__CHAR_BIT__ * __SIZEOF_LONG_LONG__)

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_CONTAINER

/**
 * Base class, general case. It is a class invariant that _Nw will be
 * nonnegative.
 *
 * See documentation for bitset.
 */
 template<size_t _Nw>
 struct _Base_bitset
 {
 typedef unsigned long _WordT;

/// 0 is the least significant word.
      _WordT 		_M_w[_Nw];

_GLIBCXX_CONSTEXPR _Base_bitset() _GLIBCXX_NOEXCEPT
      : _M_w() { }

#if __cplusplus >= 201103L
      constexpr _Base_bitset(unsigned long long __val) noexcept
      : _M_w{ _WordT(__val)
#if __SIZEOF_LONG_LONG__ > __SIZEOF_LONG__
	       , _WordT(__val >> _GLIBCXX_BITSET_BITS_PER_WORD)
#endif
       } { }
#else
      _Base_bitset(unsigned long __val)
      : _M_w()
      { _M_w[0] = __val; }
#endif

static _GLIBCXX_CONSTEXPR size_t
      _S_whichword(size_t __pos) _GLIBCXX_NOEXCEPT
      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbyte(size_t __pos) _GLIBCXX_NOEXCEPT
      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbit(size_t __pos) _GLIBCXX_NOEXCEPT
      { return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR _WordT
 _S_maskbit(size_t __pos) _GLIBCXX_NOEXCEPT
 { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }

_WordT&
      _M_getword(size_t __pos) _GLIBCXX_NOEXCEPT
      { return _M_w[_S_whichword(__pos)]; }

_GLIBCXX_CONSTEXPR _WordT
      _M_getword(size_t __pos) const _GLIBCXX_NOEXCEPT
      { return _M_w[_S_whichword(__pos)]; }

#if __cplusplus >= 201103L
      const _WordT*
      _M_getdata() const noexcept
      { return _M_w; }
#endif

_WordT&
      _M_hiword() _GLIBCXX_NOEXCEPT
      { return _M_w[_Nw - 1]; }

_GLIBCXX_CONSTEXPR _WordT
      _M_hiword() const _GLIBCXX_NOEXCEPT
      { return _M_w[_Nw - 1]; }

void
 _M_do_and(const _Base_bitset<_Nw>& __x) _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 _M_w[__i] &= __x._M_w[__i];
 }

void
 _M_do_or(const _Base_bitset<_Nw>& __x) _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 _M_w[__i] |= __x._M_w[__i];
 }

void
 _M_do_xor(const _Base_bitset<_Nw>& __x) _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 _M_w[__i] ^= __x._M_w[__i];
 }

void
      _M_do_left_shift(size_t __shift) _GLIBCXX_NOEXCEPT;

void
      _M_do_right_shift(size_t __shift) _GLIBCXX_NOEXCEPT;

void
 _M_do_flip() _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 _M_w[__i] = ~_M_w[__i];
 }

void
 _M_do_set() _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 _M_w[__i] = ~static_cast<_WordT>(0);
 }

void
      _M_do_reset() _GLIBCXX_NOEXCEPT
      { __builtin_memset(_M_w, 0, _Nw * sizeof(_WordT)); }

bool
 _M_is_equal(const _Base_bitset<_Nw>& __x) const _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; ++__i)
	 if (_M_w[__i] != __x._M_w[__i])
	 return false;
	return true;
 }

template<size_t _Nb>
 bool
 _M_are_all() const _GLIBCXX_NOEXCEPT
 {
	 for (size_t __i = 0; __i < _Nw - 1; __i++)
	 if (_M_w[__i] != ~static_cast<_WordT>(0))
	 return false;
	 return _M_hiword() == (~static_cast<_WordT>(0)
				 >> (_Nw * _GLIBCXX_BITSET_BITS_PER_WORD
				 - _Nb));
	}

bool
 _M_is_any() const _GLIBCXX_NOEXCEPT
 {
	for (size_t __i = 0; __i < _Nw; __i++)
	 if (_M_w[__i] != static_cast<_WordT>(0))
	 return true;
	return false;
 }

size_t
 _M_do_count() const _GLIBCXX_NOEXCEPT
 {
	size_t __result = 0;
	for (size_t __i = 0; __i < _Nw; __i++)
	 __result += __builtin_popcountl(_M_w[__i]);
	return __result;
 }

unsigned long
      _M_do_to_ulong() const;

#if __cplusplus >= 201103L
      unsigned long long
      _M_do_to_ullong() const;
#endif

// find first "on" bit
      size_t
      _M_do_find_first(size_t) const _GLIBCXX_NOEXCEPT;

// find the next "on" bit that follows "prev"
      size_t
      _M_do_find_next(size_t, size_t) const _GLIBCXX_NOEXCEPT;
    };

// Definitions of non-inline functions from _Base_bitset.
 template<size_t _Nw>
 void
 _Base_bitset<_Nw>::_M_do_left_shift(size_t __shift) _GLIBCXX_NOEXCEPT
 {
 if (__builtin_expect(__shift != 0, 1))
	{
	 const size_t __wshift = __shift / _GLIBCXX_BITSET_BITS_PER_WORD;
	 const size_t __offset = __shift % _GLIBCXX_BITSET_BITS_PER_WORD;

if (__offset == 0)
	 for (size_t __n = _Nw - 1; __n >= __wshift; --__n)
	 _M_w[__n] = _M_w[__n - __wshift];
	 else
	 {
	 const size_t __sub_offset = (_GLIBCXX_BITSET_BITS_PER_WORD
					 - __offset);
	 for (size_t __n = _Nw - 1; __n > __wshift; --__n)
		_M_w[__n] = ((_M_w[__n - __wshift] << __offset)
			 | (_M_w[__n - __wshift - 1] >> __sub_offset));
	 _M_w[__wshift] = _M_w[0] << __offset;
	 }

std::fill(_M_w + 0, _M_w + __wshift, static_cast<_WordT>(0));
	}
 }

template<size_t _Nw>
 void
 _Base_bitset<_Nw>::_M_do_right_shift(size_t __shift) _GLIBCXX_NOEXCEPT
 {
 if (__builtin_expect(__shift != 0, 1))
	{
	 const size_t __wshift = __shift / _GLIBCXX_BITSET_BITS_PER_WORD;
	 const size_t __offset = __shift % _GLIBCXX_BITSET_BITS_PER_WORD;
	 const size_t __limit = _Nw - __wshift - 1;

if (__offset == 0)
	 for (size_t __n = 0; __n <= __limit; ++__n)
	 _M_w[__n] = _M_w[__n + __wshift];
	 else
	 {
	 const size_t __sub_offset = (_GLIBCXX_BITSET_BITS_PER_WORD
					 - __offset);
	 for (size_t __n = 0; __n < __limit; ++__n)
		_M_w[__n] = ((_M_w[__n + __wshift] >> __offset)
			 | (_M_w[__n + __wshift + 1] << __sub_offset));
	 _M_w[__limit] = _M_w[_Nw-1] >> __offset;
	 }

std::fill(_M_w + __limit + 1, _M_w + _Nw, static_cast<_WordT>(0));
	}
 }

template<size_t _Nw>
 unsigned long
 _Base_bitset<_Nw>::_M_do_to_ulong() const
 {
 for (size_t __i = 1; __i < _Nw; ++__i)
	if (_M_w[__i])
	 __throw_overflow_error(__N("_Base_bitset::_M_do_to_ulong"));
 return _M_w[0];
 }

#if __cplusplus >= 201103L
 template<size_t _Nw>
 unsigned long long
 _Base_bitset<_Nw>::_M_do_to_ullong() const
 {
 const bool __dw = sizeof(unsigned long long) > sizeof(unsigned long);
 for (size_t __i = 1 + __dw; __i < _Nw; ++__i)
	if (_M_w[__i])
	 __throw_overflow_error(__N("_Base_bitset::_M_do_to_ullong"));

if (__dw)
	return _M_w[0] + (static_cast<unsigned long long>(_M_w[1])
			 << _GLIBCXX_BITSET_BITS_PER_WORD);
 return _M_w[0];
 }
#endif

template<size_t _Nw>
 size_t
 _Base_bitset<_Nw>::
 _M_do_find_first(size_t __not_found) const _GLIBCXX_NOEXCEPT
 {
 for (size_t __i = 0; __i < _Nw; __i++)
	{
	 _WordT __thisword = _M_w[__i];
	 if (__thisword != static_cast<_WordT>(0))
	 return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
		 + __builtin_ctzl(__thisword));
	}
 // not found, so return an indication of failure.
 return __not_found;
 }

template<size_t _Nw>
 size_t
 _Base_bitset<_Nw>::
 _M_do_find_next(size_t __prev, size_t __not_found) const _GLIBCXX_NOEXCEPT
 {
 // make bound inclusive
 ++__prev;

// check out of bounds
      if (__prev >= _Nw * _GLIBCXX_BITSET_BITS_PER_WORD)
	return __not_found;

// search first word
      size_t __i = _S_whichword(__prev);
      _WordT __thisword = _M_w[__i];

// mask off bits below bound
 __thisword &= (~static_cast<_WordT>(0)) << _S_whichbit(__prev);

if (__thisword != static_cast<_WordT>(0))
	return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
		+ __builtin_ctzl(__thisword));

// check subsequent words
 __i++;
 for (; __i < _Nw; __i++)
	{
	 __thisword = _M_w[__i];
	 if (__thisword != static_cast<_WordT>(0))
	 return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
		 + __builtin_ctzl(__thisword));
	}
 // not found, so return an indication of failure.
 return __not_found;
 } // end _M_do_find_next

/**
 * Base class, specialization for a single word.
 *
 * See documentation for bitset.
 */
 template<>
 struct _Base_bitset<1>
 {
 typedef unsigned long _WordT;
 _WordT _M_w;

_GLIBCXX_CONSTEXPR _Base_bitset() _GLIBCXX_NOEXCEPT
      : _M_w(0)
      { }

#if __cplusplus >= 201103L
      constexpr _Base_bitset(unsigned long long __val) noexcept
#else
      _Base_bitset(unsigned long __val)
#endif
      : _M_w(__val)
      { }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichword(size_t __pos) _GLIBCXX_NOEXCEPT
      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbyte(size_t __pos) _GLIBCXX_NOEXCEPT
      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbit(size_t __pos) _GLIBCXX_NOEXCEPT
      {  return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR _WordT
 _S_maskbit(size_t __pos) _GLIBCXX_NOEXCEPT
 { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }

_WordT&
      _M_getword(size_t) _GLIBCXX_NOEXCEPT
      { return _M_w; }

_GLIBCXX_CONSTEXPR _WordT
      _M_getword(size_t) const _GLIBCXX_NOEXCEPT
      { return _M_w; }

#if __cplusplus >= 201103L
      const _WordT*
      _M_getdata() const noexcept
      { return &_M_w; }
#endif

_WordT&
      _M_hiword() _GLIBCXX_NOEXCEPT
      { return _M_w; }

_GLIBCXX_CONSTEXPR _WordT
      _M_hiword() const _GLIBCXX_NOEXCEPT
      { return _M_w; }

void
 _M_do_and(const _Base_bitset<1>& __x) _GLIBCXX_NOEXCEPT
 { _M_w &= __x._M_w; }

void
 _M_do_or(const _Base_bitset<1>& __x) _GLIBCXX_NOEXCEPT
 { _M_w |= __x._M_w; }

void
 _M_do_xor(const _Base_bitset<1>& __x) _GLIBCXX_NOEXCEPT
 { _M_w ^= __x._M_w; }

void
 _M_do_left_shift(size_t __shift) _GLIBCXX_NOEXCEPT
 { _M_w <<= __shift; }

void
      _M_do_right_shift(size_t __shift) _GLIBCXX_NOEXCEPT
      { _M_w >>= __shift; }

void
      _M_do_flip() _GLIBCXX_NOEXCEPT
      { _M_w = ~_M_w; }

void
 _M_do_set() _GLIBCXX_NOEXCEPT
 { _M_w = ~static_cast<_WordT>(0); }

void
      _M_do_reset() _GLIBCXX_NOEXCEPT
      { _M_w = 0; }

bool
 _M_is_equal(const _Base_bitset<1>& __x) const _GLIBCXX_NOEXCEPT
 { return _M_w == __x._M_w; }

template<size_t _Nb>
 bool
 _M_are_all() const _GLIBCXX_NOEXCEPT
 { return _M_w == (~static_cast<_WordT>(0)
			 >> (_GLIBCXX_BITSET_BITS_PER_WORD - _Nb)); }

bool
      _M_is_any() const _GLIBCXX_NOEXCEPT
      { return _M_w != 0; }

size_t
      _M_do_count() const _GLIBCXX_NOEXCEPT
      { return __builtin_popcountl(_M_w); }

unsigned long
      _M_do_to_ulong() const _GLIBCXX_NOEXCEPT
      { return _M_w; }

#if __cplusplus >= 201103L
      unsigned long long
      _M_do_to_ullong() const noexcept
      { return _M_w; }
#endif

size_t
      _M_do_find_first(size_t __not_found) const _GLIBCXX_NOEXCEPT
      {
        if (_M_w != 0)
          return __builtin_ctzl(_M_w);
        else
          return __not_found;
      }

// find the next "on" bit that follows "prev"
      size_t
      _M_do_find_next(size_t __prev, size_t __not_found) const
	_GLIBCXX_NOEXCEPT
      {
	++__prev;
	if (__prev >= ((size_t) _GLIBCXX_BITSET_BITS_PER_WORD))
	  return __not_found;

_WordT __x = _M_w >> __prev;
	if (__x != 0)
	  return __builtin_ctzl(__x) + __prev;
	else
	  return __not_found;
      }
    };

/**
 * Base class, specialization for no storage (zero-length %bitset).
 *
 * See documentation for bitset.
 */
 template<>
 struct _Base_bitset<0>
 {
 typedef unsigned long _WordT;

_GLIBCXX_CONSTEXPR _Base_bitset() _GLIBCXX_NOEXCEPT
      { }

#if __cplusplus >= 201103L
      constexpr _Base_bitset(unsigned long long) noexcept
#else
      _Base_bitset(unsigned long)
#endif
      { }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichword(size_t __pos) _GLIBCXX_NOEXCEPT
      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbyte(size_t __pos) _GLIBCXX_NOEXCEPT
      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }

static _GLIBCXX_CONSTEXPR size_t
      _S_whichbit(size_t __pos) _GLIBCXX_NOEXCEPT
      {  return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }

static _GLIBCXX_CONSTEXPR _WordT
 _S_maskbit(size_t __pos) _GLIBCXX_NOEXCEPT
 { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }

// This would normally give access to the data.  The bounds-checking
      // in the bitset class will prevent the user from getting this far,
      // but (1) it must still return an lvalue to compile, and (2) the
      // user might call _Unchecked_set directly, in which case this /needs/
      // to fail.  Let's not penalize zero-length users unless they actually
      // make an unchecked call; all the memory ugliness is therefore
      // localized to this single should-never-get-this-far function.
      _WordT&
      _M_getword(size_t) _GLIBCXX_NOEXCEPT
      {
	__throw_out_of_range(__N("_Base_bitset::_M_getword"));
	return *new _WordT;
      }

_GLIBCXX_CONSTEXPR _WordT
      _M_getword(size_t) const _GLIBCXX_NOEXCEPT
      { return 0; }

_GLIBCXX_CONSTEXPR _WordT
      _M_hiword() const _GLIBCXX_NOEXCEPT
      { return 0; }

void
 _M_do_and(const _Base_bitset<0>&) _GLIBCXX_NOEXCEPT
 { }

void
 _M_do_or(const _Base_bitset<0>&) _GLIBCXX_NOEXCEPT
 { }

void
 _M_do_xor(const _Base_bitset<0>&) _GLIBCXX_NOEXCEPT
 { }

void
      _M_do_left_shift(size_t) _GLIBCXX_NOEXCEPT
      { }

void
      _M_do_right_shift(size_t) _GLIBCXX_NOEXCEPT
      { }

void
      _M_do_flip() _GLIBCXX_NOEXCEPT
      { }

void
      _M_do_set() _GLIBCXX_NOEXCEPT
      { }

void
      _M_do_reset() _GLIBCXX_NOEXCEPT
      { }

// Are all empty bitsets equal to each other? Are they equal to
 // themselves? How to compare a thing which has no state? What is
 // the sound of one zero-length bitset clapping?
 bool
 _M_is_equal(const _Base_bitset<0>&) const _GLIBCXX_NOEXCEPT
 { return true; }

template<size_t _Nb>
 bool
 _M_are_all() const _GLIBCXX_NOEXCEPT
 { return true; }

bool
      _M_is_any() const _GLIBCXX_NOEXCEPT
      { return false; }

size_t
      _M_do_count() const _GLIBCXX_NOEXCEPT
      { return 0; }

unsigned long
      _M_do_to_ulong() const _GLIBCXX_NOEXCEPT
      { return 0; }

#if __cplusplus >= 201103L
      unsigned long long
      _M_do_to_ullong() const noexcept
      { return 0; }
#endif

// Normally "not found" is the size, but that could also be
      // misinterpreted as an index in this corner case.  Oh well.
      size_t
      _M_do_find_first(size_t) const _GLIBCXX_NOEXCEPT
      { return 0; }

size_t
      _M_do_find_next(size_t, size_t) const _GLIBCXX_NOEXCEPT
      { return 0; }
    };

// Helper class to zero out the unused high-order bits in the highest word.
 template<size_t _Extrabits>
 struct _Sanitize
 {
 typedef unsigned long _WordT;

static void
 _S_do_sanitize(_WordT& __val) _GLIBCXX_NOEXCEPT
 { __val &= ~((~static_cast<_WordT>(0)) << _Extrabits); }
 };

template<>
 struct _Sanitize<0>
 {
 typedef unsigned long _WordT;

static void
      _S_do_sanitize(_WordT) _GLIBCXX_NOEXCEPT { }
    };

#if __cplusplus >= 201103L
 template<size_t _Nb, bool = (_Nb < _GLIBCXX_BITSET_BITS_PER_ULL)>
 struct _Sanitize_val
 {
 static constexpr unsigned long long
 _S_do_sanitize_val(unsigned long long __val)
 { return __val; }
 };

template<size_t _Nb>
 struct _Sanitize_val<_Nb, true>
 {
 static constexpr unsigned long long
 _S_do_sanitize_val(unsigned long long __val)
 { return __val & ~((~static_cast<unsigned long long>(0)) << _Nb); }
 };
#endif

/**
 * @brief The %bitset class represents a @e fixed-size sequence of bits.
 * @ingroup utilities
 *
 * (Note that %bitset does @e not meet the formal requirements of a
 * <a href="tables.html#65">container</a>. Mainly, it lacks iterators.)
 *
 * The template argument, @a Nb, may be any non-negative number,
 * specifying the number of bits (e.g., "0", "12", "1024*1024").
 *
 * In the general unoptimized case, storage is allocated in word-sized
 * blocks. Let B be the number of bits in a word, then (Nb+(B-1))/B
 * words will be used for storage. B - Nb%B bits are unused. (They are
 * the high-order bits in the highest word.) It is a class invariant
 * that those unused bits are always zero.
 *
 * If you think of %bitset as a simple array of bits, be
 * aware that your mental picture is reversed: a %bitset behaves
 * the same way as bits in integers do, with the bit at index 0 in
 * the least significant / right-hand position, and the bit at
 * index Nb-1 in the most significant / left-hand position.
 * Thus, unlike other containers, a %bitset's index counts from
 * right to left, to put it very loosely.
 *
 * This behavior is preserved when translating to and from strings. For
 * example, the first line of the following program probably prints
 * b(&apos;a&apos;) is 0001100001 on a modern ASCII system.
 *
 * @code
 * #include <bitset>
 * #include <iostream>
 * #include <sstream>
 *
 * using namespace std;
 *
 * int main()
 * {
 * long a = 'a';
 * bitset<10> b(a);
 *
 * cout << "b('a') is " << b << endl;
 *
 * ostringstream s;
 * s << b;
 * string str = s.str();
 * cout << "index 3 in the string is " << str[3] << " but\n"
 * << "index 3 in the bitset is " << b[3] << endl;
 * }
 * @endcode
 *
 * Also see:
 * https://gcc.gnu.org/onlinedocs/libstdc++/manual/ext_containers.html
 * for a description of extensions.
 *
 * Most of the actual code isn't contained in %bitset<> itself, but in the
 * base class _Base_bitset. The base class works with whole words, not with
 * individual bits. This allows us to specialize _Base_bitset for the
 * important special case where the %bitset is only a single word.
 *
 * Extra confusion can result due to the fact that the storage for
 * _Base_bitset @e is a regular array, and is indexed as such. This is
 * carefully encapsulated.
 */
 template<size_t _Nb>
 class bitset
 : private _Base_bitset<_GLIBCXX_BITSET_WORDS(_Nb)>
 {
 private:
 typedef _Base_bitset<_GLIBCXX_BITSET_WORDS(_Nb)> _Base;
 typedef unsigned long _WordT;

template<class _CharT, class _Traits, class _Alloc>
 void
 _M_check_initial_position(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
				size_t __position) const
 {
	if (__position > __s.size())
	 __throw_out_of_range_fmt(__N("bitset::bitset: __position "
				 "(which is %zu) > __s.size() "
				 "(which is %zu)"),
				 __position, __s.size());
 }

void _M_check(size_t __position, const char *__s) const
      {
	if (__position >= _Nb)
	  __throw_out_of_range_fmt(__N("%s: __position (which is %zu) "
				       ">= _Nb (which is %zu)"),
				   __s, __position, _Nb);
      }

void
 _M_do_sanitize() _GLIBCXX_NOEXCEPT
 {
	typedef _Sanitize<_Nb % _GLIBCXX_BITSET_BITS_PER_WORD> __sanitize_type;
	__sanitize_type::_S_do_sanitize(this->_M_hiword());
 }

#if __cplusplus >= 201103L
 friend struct std::hash<bitset>;
#endif

public:
 /**
 * This encapsulates the concept of a single bit. An instance of this
 * class is a proxy for an actual bit; this way the individual bit
 * operations are done as faster word-size bitwise instructions.
 *
 * Most users will never need to use this class directly; conversions
 * to and from bool are automatic and should be transparent. Overloaded
 * operators help to preserve the illusion.
 *
 * (On a typical system, this bit %reference is 64
 * times the size of an actual bit. Ha.)
 */
 class reference
 {
	friend class bitset;

_WordT*	_M_wp;
	size_t 	_M_bpos;

// left undefined
	reference();

public:
	reference(bitset& __b, size_t __pos) _GLIBCXX_NOEXCEPT
	{
	  _M_wp = &__b._M_getword(__pos);
	  _M_bpos = _Base::_S_whichbit(__pos);
	}

#if __cplusplus >= 201103L
	reference(const reference&) = default;
#endif

~reference() _GLIBCXX_NOEXCEPT
	{ }

// For b[i] = __x;
	reference&
	operator=(bool __x) _GLIBCXX_NOEXCEPT
	{
	  if (__x)
	    *_M_wp |= _Base::_S_maskbit(_M_bpos);
	  else
	    *_M_wp &= ~_Base::_S_maskbit(_M_bpos);
	  return *this;
	}

// For b[i] = b[__j];
	reference&
	operator=(const reference& __j) _GLIBCXX_NOEXCEPT
	{
	  if ((*(__j._M_wp) & _Base::_S_maskbit(__j._M_bpos)))
	    *_M_wp |= _Base::_S_maskbit(_M_bpos);
	  else
	    *_M_wp &= ~_Base::_S_maskbit(_M_bpos);
	  return *this;
	}

// Flips the bit
	bool
	operator~() const _GLIBCXX_NOEXCEPT
	{ return (*(_M_wp) & _Base::_S_maskbit(_M_bpos)) == 0; }

// For __x = b[i];
	operator bool() const _GLIBCXX_NOEXCEPT
	{ return (*(_M_wp) & _Base::_S_maskbit(_M_bpos)) != 0; }

// For b[i].flip();
	reference&
	flip() _GLIBCXX_NOEXCEPT
	{
	  *_M_wp ^= _Base::_S_maskbit(_M_bpos);
	  return *this;
	}
      };
      friend class reference;

// 23.3.5.1 constructors:
      /// All bits set to zero.
      _GLIBCXX_CONSTEXPR bitset() _GLIBCXX_NOEXCEPT
      { }

/// Initial bits bitwise-copied from a single word (others set to zero).
#if __cplusplus >= 201103L
 constexpr bitset(unsigned long long __val) noexcept
 : _Base(_Sanitize_val<_Nb>::_S_do_sanitize_val(__val)) { }
#else
 bitset(unsigned long __val)
 : _Base(__val)
 { _M_do_sanitize(); }
#endif

/**
 * Use a subset of a string.
 * @param __s A string of @a 0 and @a 1 characters.
 * @param __position Index of the first character in @a __s to use;
 * defaults to zero.
 * @throw std::out_of_range If @a pos is bigger the size of @a __s.
 * @throw std::invalid_argument If a character appears in the string
 * which is neither @a 0 nor @a 1.
 */
 template<class _CharT, class _Traits, class _Alloc>
	explicit
	bitset(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
	 size_t __position = 0)
	: _Base()
	{
	 _M_check_initial_position(__s, __position);
	 _M_copy_from_string(__s, __position,
			 std::basic_string<_CharT, _Traits, _Alloc>::npos,
			 _CharT('0'), _CharT('1'));
	}

/**
 * Use a subset of a string.
 * @param __s A string of @a 0 and @a 1 characters.
 * @param __position Index of the first character in @a __s to use.
 * @param __n The number of characters to copy.
 * @throw std::out_of_range If @a __position is bigger the size
 * of @a __s.
 * @throw std::invalid_argument If a character appears in the string
 * which is neither @a 0 nor @a 1.
 */
 template<class _CharT, class _Traits, class _Alloc>
	bitset(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
	 size_t __position, size_t __n)
	: _Base()
	{
	 _M_check_initial_position(__s, __position);
	 _M_copy_from_string(__s, __position, __n, _CharT('0'), _CharT('1'));
	}

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // 396. what are characters zero and one.
 template<class _CharT, class _Traits, class _Alloc>
	bitset(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
	 size_t __position, size_t __n,
	 _CharT __zero, _CharT __one = _CharT('1'))
	: _Base()
	{
	 _M_check_initial_position(__s, __position);
	 _M_copy_from_string(__s, __position, __n, __zero, __one);
	}

#if __cplusplus >= 201103L
 /**
 * Construct from a character %array.
 * @param __str An %array of characters @a zero and @a one.
 * @param __n The number of characters to use.
 * @param __zero The character corresponding to the value 0.
 * @param __one The character corresponding to the value 1.
 * @throw std::invalid_argument If a character appears in the string
 * which is neither @a __zero nor @a __one.
 */
 template<typename _CharT>
 explicit
 bitset(const _CharT* __str,
	 typename std::basic_string<_CharT>::size_type __n
	 = std::basic_string<_CharT>::npos,
	 _CharT __zero = _CharT('0'), _CharT __one = _CharT('1'))
 : _Base()
 {
	 if (!__str)
	 __throw_logic_error(__N("bitset::bitset(const _CharT*, ...)"));

if (__n == std::basic_string<_CharT>::npos)
	 __n = std::char_traits<_CharT>::length(__str);
	 _M_copy_from_ptr<_CharT, std::char_traits<_CharT>>(__str, __n, 0,
							 __n, __zero,
							 __one);
	}
#endif

// 23.3.5.2 bitset operations:
 ///@{
 /**
 * Operations on bitsets.
 * @param __rhs A same-sized bitset.
 *
 * These should be self-explanatory.
 */
 bitset<_Nb>&
 operator&=(const bitset<_Nb>& __rhs) _GLIBCXX_NOEXCEPT
 {
	this->_M_do_and(__rhs);
	return *this;
 }

bitset<_Nb>&
 operator|=(const bitset<_Nb>& __rhs) _GLIBCXX_NOEXCEPT
 {
	this->_M_do_or(__rhs);
	return *this;
 }

bitset<_Nb>&
 operator^=(const bitset<_Nb>& __rhs) _GLIBCXX_NOEXCEPT
 {
	this->_M_do_xor(__rhs);
	return *this;
 }
 ///@}

///@{
 /**
 * Operations on bitsets.
 * @param __position The number of places to shift.
 *
 * These should be self-explanatory.
 */
 bitset<_Nb>&
 operator<<=(size_t __position) _GLIBCXX_NOEXCEPT
 {
	if (__builtin_expect(__position < _Nb, 1))
	 {
	 this->_M_do_left_shift(__position);
	 this->_M_do_sanitize();
	 }
	else
	 this->_M_do_reset();
	return *this;
 }

bitset<_Nb>&
 operator>>=(size_t __position) _GLIBCXX_NOEXCEPT
 {
	if (__builtin_expect(__position < _Nb, 1))
	 {
	 this->_M_do_right_shift(__position);
	 this->_M_do_sanitize();
	 }
	else
	 this->_M_do_reset();
	return *this;
 }
 ///@}

///@{
 /**
 * These versions of single-bit set, reset, flip, and test are
 * extensions from the SGI version. They do no range checking.
 * @ingroup SGIextensions
 */
 bitset<_Nb>&
 _Unchecked_set(size_t __pos) _GLIBCXX_NOEXCEPT
 {
	this->_M_getword(__pos) |= _Base::_S_maskbit(__pos);
	return *this;
 }

bitset<_Nb>&
 _Unchecked_set(size_t __pos, int __val) _GLIBCXX_NOEXCEPT
 {
	if (__val)
	 this->_M_getword(__pos) |= _Base::_S_maskbit(__pos);
	else
	 this->_M_getword(__pos) &= ~_Base::_S_maskbit(__pos);
	return *this;
 }

bitset<_Nb>&
 _Unchecked_reset(size_t __pos) _GLIBCXX_NOEXCEPT
 {
	this->_M_getword(__pos) &= ~_Base::_S_maskbit(__pos);
	return *this;
 }

bitset<_Nb>&
 _Unchecked_flip(size_t __pos) _GLIBCXX_NOEXCEPT
 {
	this->_M_getword(__pos) ^= _Base::_S_maskbit(__pos);
	return *this;
 }

_GLIBCXX_CONSTEXPR bool
 _Unchecked_test(size_t __pos) const _GLIBCXX_NOEXCEPT
 { return ((this->_M_getword(__pos) & _Base::_S_maskbit(__pos))
		!= static_cast<_WordT>(0)); }
 ///@}

// Set, reset, and flip.
 /**
 * @brief Sets every bit to true.
 */
 bitset<_Nb>&
 set() _GLIBCXX_NOEXCEPT
 {
	this->_M_do_set();
	this->_M_do_sanitize();
	return *this;
 }

/**
 * @brief Sets a given bit to a particular value.
 * @param __position The index of the bit.
 * @param __val Either true or false, defaults to true.
 * @throw std::out_of_range If @a pos is bigger the size of the %set.
 */
 bitset<_Nb>&
 set(size_t __position, bool __val = true)
 {
	this->_M_check(__position, __N("bitset::set"));
	return _Unchecked_set(__position, __val);
 }

/**
 * @brief Sets every bit to false.
 */
 bitset<_Nb>&
 reset() _GLIBCXX_NOEXCEPT
 {
	this->_M_do_reset();
	return *this;
 }

/**
 * @brief Sets a given bit to false.
 * @param __position The index of the bit.
 * @throw std::out_of_range If @a pos is bigger the size of the %set.
 *
 * Same as writing @c set(pos,false).
 */
 bitset<_Nb>&
 reset(size_t __position)
 {
	this->_M_check(__position, __N("bitset::reset"));
	return _Unchecked_reset(__position);
 }

/**
 * @brief Toggles every bit to its opposite value.
 */
 bitset<_Nb>&
 flip() _GLIBCXX_NOEXCEPT
 {
	this->_M_do_flip();
	this->_M_do_sanitize();
	return *this;
 }

/**
 * @brief Toggles a given bit to its opposite value.
 * @param __position The index of the bit.
 * @throw std::out_of_range If @a pos is bigger the size of the %set.
 */
 bitset<_Nb>&
 flip(size_t __position)
 {
	this->_M_check(__position, __N("bitset::flip"));
	return _Unchecked_flip(__position);
 }

/// See the no-argument flip().
 bitset<_Nb>
 operator~() const _GLIBCXX_NOEXCEPT
 { return bitset<_Nb>(*this).flip(); }

///@{
 /**
 * @brief Array-indexing support.
 * @param __position Index into the %bitset.
 * @return A bool for a const %bitset. For non-const
 * bitsets, an instance of the reference proxy class.
 * @note These operators do no range checking and throw no exceptions,
 * as required by DR 11 to the standard.
 *
 * _GLIBCXX_RESOLVE_LIB_DEFECTS Note that this implementation already
 * resolves DR 11 (items 1 and 2), but does not do the range-checking
 * required by that DR's resolution. -pme
 * The DR has since been changed: range-checking is a precondition
 * (users' responsibility), and these functions must not throw. -pme
 */
 reference
 operator[](size_t __position)
 { return reference(*this, __position); }

_GLIBCXX_CONSTEXPR bool
      operator[](size_t __position) const
      { return _Unchecked_test(__position); }
      ///@}

/**
       *  @brief Returns a numerical interpretation of the %bitset.
       *  @return  The integral equivalent of the bits.
       *  @throw  std::overflow_error  If there are too many bits to be
       *                               represented in an @c unsigned @c long.
       */
      unsigned long
      to_ulong() const
      { return this->_M_do_to_ulong(); }

#if __cplusplus >= 201103L
      unsigned long long
      to_ullong() const
      { return this->_M_do_to_ullong(); }
#endif

/**
 * @brief Returns a character interpretation of the %bitset.
 * @return The string equivalent of the bits.
 *
 * Note the ordering of the bits: decreasing character positions
 * correspond to increasing bit positions (see the main class notes for
 * an example).
 */
 template<class _CharT, class _Traits, class _Alloc>
	std::basic_string<_CharT, _Traits, _Alloc>
	to_string() const
	{
	 std::basic_string<_CharT, _Traits, _Alloc> __result;
	 _M_copy_to_string(__result, _CharT('0'), _CharT('1'));
	 return __result;
	}

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // 396. what are characters zero and one.
 template<class _CharT, class _Traits, class _Alloc>
	std::basic_string<_CharT, _Traits, _Alloc>
	to_string(_CharT __zero, _CharT __one = _CharT('1')) const
	{
	 std::basic_string<_CharT, _Traits, _Alloc> __result;
	 _M_copy_to_string(__result, __zero, __one);
	 return __result;
	}

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // 434. bitset::to_string() hard to use.
 template<class _CharT, class _Traits>
	std::basic_string<_CharT, _Traits, std::allocator<_CharT> >
	to_string() const
	{ return to_string<_CharT, _Traits, std::allocator<_CharT> >(); }

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // 853. to_string needs updating with zero and one.
 template<class _CharT, class _Traits>
	std::basic_string<_CharT, _Traits, std::allocator<_CharT> >
	to_string(_CharT __zero, _CharT __one = _CharT('1')) const
	{ return to_string<_CharT, _Traits,
	 std::allocator<_CharT> >(__zero, __one); }

template<class _CharT>
	std::basic_string<_CharT, std::char_traits<_CharT>,
	 std::allocator<_CharT> >
	to_string() const
	{
	 return to_string<_CharT, std::char_traits<_CharT>,
	 std::allocator<_CharT> >();
	}

template<class _CharT>
	std::basic_string<_CharT, std::char_traits<_CharT>,
	 std::allocator<_CharT> >
	to_string(_CharT __zero, _CharT __one = _CharT('1')) const
	{
	 return to_string<_CharT, std::char_traits<_CharT>,
	 std::allocator<_CharT> >(__zero, __one);
	}

std::basic_string<char, std::char_traits<char>, std::allocator<char> >
 to_string() const
 {
	return to_string<char, std::char_traits<char>,
	 std::allocator<char> >();
 }

std::basic_string<char, std::char_traits<char>, std::allocator<char> >
 to_string(char __zero, char __one = '1') const
 {
	return to_string<char, std::char_traits<char>,
	 std::allocator<char> >(__zero, __one);
 }

// Helper functions for string operations.
 template<class _CharT, class _Traits>
 void
 _M_copy_from_ptr(const _CharT*, size_t, size_t, size_t,
			 _CharT, _CharT);

template<class _CharT, class _Traits, class _Alloc>
	void
	_M_copy_from_string(const std::basic_string<_CharT,
			 _Traits, _Alloc>& __s, size_t __pos, size_t __n,
			 _CharT __zero, _CharT __one)
	{ _M_copy_from_ptr<_CharT, _Traits>(__s.data(), __s.size(), __pos, __n,
					 __zero, __one); }

template<class _CharT, class _Traits, class _Alloc>
	void
 _M_copy_to_string(std::basic_string<_CharT, _Traits, _Alloc>&,
			 _CharT, _CharT) const;

// NB: Backward compat.
 template<class _CharT, class _Traits, class _Alloc>
	void
	_M_copy_from_string(const std::basic_string<_CharT,
			 _Traits, _Alloc>& __s, size_t __pos, size_t __n)
	{ _M_copy_from_string(__s, __pos, __n, _CharT('0'), _CharT('1')); }

template<class _CharT, class _Traits, class _Alloc>
	void
 _M_copy_to_string(std::basic_string<_CharT, _Traits,_Alloc>& __s) const
	{ _M_copy_to_string(__s, _CharT('0'), _CharT('1')); }

/// Returns the number of bits which are set.
      size_t
      count() const _GLIBCXX_NOEXCEPT
      { return this->_M_do_count(); }

/// Returns the total number of bits.
      _GLIBCXX_CONSTEXPR size_t
      size() const _GLIBCXX_NOEXCEPT
      { return _Nb; }

///@{
 /// These comparisons for equality/inequality are, well, @e bitwise.
 bool
 operator==(const bitset<_Nb>& __rhs) const _GLIBCXX_NOEXCEPT
 { return this->_M_is_equal(__rhs); }

#if __cpp_impl_three_way_comparison < 201907L
 bool
 operator!=(const bitset<_Nb>& __rhs) const _GLIBCXX_NOEXCEPT
 { return !this->_M_is_equal(__rhs); }
#endif
 ///@}

/**
       *  @brief Tests the value of a bit.
       *  @param  __position  The index of a bit.
       *  @return  The value at @a pos.
       *  @throw  std::out_of_range  If @a pos is bigger the size of the %set.
       */
      bool
      test(size_t __position) const
      {
	this->_M_check(__position, __N("bitset::test"));
	return _Unchecked_test(__position);
      }

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // DR 693. std::bitset::all() missing.
 /**
 * @brief Tests whether all the bits are on.
 * @return True if all the bits are set.
 */
 bool
 all() const _GLIBCXX_NOEXCEPT
 { return this->template _M_are_all<_Nb>(); }

/**
       *  @brief Tests whether any of the bits are on.
       *  @return  True if at least one bit is set.
       */
      bool
      any() const _GLIBCXX_NOEXCEPT
      { return this->_M_is_any(); }

/**
       *  @brief Tests whether any of the bits are on.
       *  @return  True if none of the bits are set.
       */
      bool
      none() const _GLIBCXX_NOEXCEPT
      { return !this->_M_is_any(); }

///@{
 /// Self-explanatory.
 bitset<_Nb>
 operator<<(size_t __position) const _GLIBCXX_NOEXCEPT
 { return bitset<_Nb>(*this) <<= __position; }

bitset<_Nb>
 operator>>(size_t __position) const _GLIBCXX_NOEXCEPT
 { return bitset<_Nb>(*this) >>= __position; }
 ///@}

/**
       *  @brief  Finds the index of the first "on" bit.
       *  @return  The index of the first bit set, or size() if not found.
       *  @ingroup SGIextensions
       *  @sa  _Find_next
       */
      size_t
      _Find_first() const _GLIBCXX_NOEXCEPT
      { return this->_M_do_find_first(_Nb); }

/**
       *  @brief  Finds the index of the next "on" bit after prev.
       *  @return  The index of the next bit set, or size() if not found.
       *  @param  __prev  Where to start searching.
       *  @ingroup SGIextensions
       *  @sa  _Find_first
       */
      size_t
      _Find_next(size_t __prev) const _GLIBCXX_NOEXCEPT
      { return this->_M_do_find_next(__prev, _Nb); }
    };

// Definitions of non-inline member functions.
 template<size_t _Nb>
 template<class _CharT, class _Traits>
 void
 bitset<_Nb>::
 _M_copy_from_ptr(const _CharT* __s, size_t __len,
		 size_t __pos, size_t __n, _CharT __zero, _CharT __one)
 {
	reset();
	const size_t __nbits = std::min(_Nb, std::min(__n, size_t(__len - __pos)));
	for (size_t __i = __nbits; __i > 0; --__i)
	 {
	 const _CharT __c = __s[__pos + __nbits - __i];
	 if (_Traits::eq(__c, __zero))
	 ;
	 else if (_Traits::eq(__c, __one))
	 _Unchecked_set(__i - 1);
	 else
	 __throw_invalid_argument(__N("bitset::_M_copy_from_ptr"));
	 }
 }

template<size_t _Nb>
 template<class _CharT, class _Traits, class _Alloc>
 void
 bitset<_Nb>::
 _M_copy_to_string(std::basic_string<_CharT, _Traits, _Alloc>& __s,
			_CharT __zero, _CharT __one) const
 {
	__s.assign(_Nb, __zero);
	for (size_t __i = _Nb; __i > 0; --__i)
	 if (_Unchecked_test(__i - 1))
	 _Traits::assign(__s[_Nb - __i], __one);
 }

// 23.3.5.3 bitset operations:
 ///@{
 /**
 * @brief Global bitwise operations on bitsets.
 * @param __x A bitset.
 * @param __y A bitset of the same size as @a __x.
 * @return A new bitset.
 *
 * These should be self-explanatory.
 */
 template<size_t _Nb>
 inline bitset<_Nb>
 operator&(const bitset<_Nb>& __x, const bitset<_Nb>& __y) _GLIBCXX_NOEXCEPT
 {
 bitset<_Nb> __result(__x);
 __result &= __y;
 return __result;
 }

template<size_t _Nb>
 inline bitset<_Nb>
 operator|(const bitset<_Nb>& __x, const bitset<_Nb>& __y) _GLIBCXX_NOEXCEPT
 {
 bitset<_Nb> __result(__x);
 __result |= __y;
 return __result;
 }

template <size_t _Nb>
 inline bitset<_Nb>
 operator^(const bitset<_Nb>& __x, const bitset<_Nb>& __y) _GLIBCXX_NOEXCEPT
 {
 bitset<_Nb> __result(__x);
 __result ^= __y;
 return __result;
 }
 ///@}

///@{
 /**
 * @brief Global I/O operators for bitsets.
 *
 * Direct I/O between streams and bitsets is supported. Output is
 * straightforward. Input will skip whitespace, only accept @a 0 and @a 1
 * characters, and will only extract as many digits as the %bitset will
 * hold.
 */
 template<class _CharT, class _Traits, size_t _Nb>
 std::basic_istream<_CharT, _Traits>&
 operator>>(std::basic_istream<_CharT, _Traits>& __is, bitset<_Nb>& __x)
 {
 typedef typename _Traits::char_type char_type;
 typedef std::basic_istream<_CharT, _Traits> __istream_type;
 typedef typename __istream_type::ios_base __ios_base;

std::basic_string<_CharT, _Traits> __tmp;
 __tmp.reserve(_Nb);

// _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 303. Bitset input operator underspecified
      const char_type __zero = __is.widen('0');
      const char_type __one = __is.widen('1');

typename __ios_base::iostate __state = __ios_base::goodbit;
      typename __istream_type::sentry __sentry(__is);
      if (__sentry)
	{
	  __try
	    {
	      for (size_t __i = _Nb; __i > 0; --__i)
		{
		  static typename _Traits::int_type __eof = _Traits::eof();

typename _Traits::int_type __c1 = __is.rdbuf()->sbumpc();
		  if (_Traits::eq_int_type(__c1, __eof))
		    {
		      __state |= __ios_base::eofbit;
		      break;
		    }
		  else
		    {
		      const char_type __c2 = _Traits::to_char_type(__c1);
		      if (_Traits::eq(__c2, __zero))
			__tmp.push_back(__zero);
		      else if (_Traits::eq(__c2, __one))
			__tmp.push_back(__one);
		      else if (_Traits::
			       eq_int_type(__is.rdbuf()->sputbackc(__c2),
					   __eof))
			{
			  __state |= __ios_base::failbit;
			  break;
			}
		    }
		}
	    }
	  __catch(__cxxabiv1::__forced_unwind&)
	    {
	      __is._M_setstate(__ios_base::badbit);
	      __throw_exception_again;
	    }
	  __catch(...)
	    { __is._M_setstate(__ios_base::badbit); }
	}

if (__tmp.empty() && _Nb)
	__state |= __ios_base::failbit;
 else
	__x._M_copy_from_string(__tmp, static_cast<size_t>(0), _Nb,
				__zero, __one);
 if (__state)
	__is.setstate(__state);
 return __is;
 }

template <class _CharT, class _Traits, size_t _Nb>
 std::basic_ostream<_CharT, _Traits>&
 operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	 const bitset<_Nb>& __x)
 {
 std::basic_string<_CharT, _Traits> __tmp;

// _GLIBCXX_RESOLVE_LIB_DEFECTS
 // 396. what are characters zero and one.
 const ctype<_CharT>& __ct = use_facet<ctype<_CharT> >(__os.getloc());
 __x._M_copy_to_string(__tmp, __ct.widen('0'), __ct.widen('1'));
 return __os << __tmp;
 }
 ///@}

_GLIBCXX_END_NAMESPACE_CONTAINER
} // namespace std

#undef _GLIBCXX_BITSET_WORDS
#undef _GLIBCXX_BITSET_BITS_PER_WORD
#undef _GLIBCXX_BITSET_BITS_PER_ULL

#if __cplusplus >= 201103L

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

// DR 1182.
 /// std::hash specialization for bitset.
 template<size_t _Nb>
 struct hash<_GLIBCXX_STD_C::bitset<_Nb>>
 : public __hash_base<size_t, _GLIBCXX_STD_C::bitset<_Nb>>
 {
 size_t
 operator()(const _GLIBCXX_STD_C::bitset<_Nb>& __b) const noexcept
 {
	const size_t __clength = (_Nb + __CHAR_BIT__ - 1) / __CHAR_BIT__;
	return std::_Hash_impl::hash(__b._M_getdata(), __clength);
 }
 };

template<>
 struct hash<_GLIBCXX_STD_C::bitset<0>>
 : public __hash_base<size_t, _GLIBCXX_STD_C::bitset<0>>
 {
 size_t
 operator()(const _GLIBCXX_STD_C::bitset<0>&) const noexcept
 { return 0; }
 };

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#endif // C++11

#ifdef _GLIBCXX_DEBUG
# include <debug/bitset>
#endif

#endif /* _GLIBCXX_BITSET */