# 0 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
# 1 "/tmp/tmpl_i20ey9/double-conversion/build//"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 0 "<command-line>" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
# 28 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
# 1 "/usr/include/c++/13/climits" 1 3
# 39 "/usr/include/c++/13/climits" 3
       
# 40 "/usr/include/c++/13/climits" 3

# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 1 3
# 306 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3

# 306 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;


#pragma GCC visibility push(default)


  extern "C++" __attribute__ ((__noreturn__, __always_inline__))
  inline void __terminate() noexcept
  {
    void terminate() noexcept __attribute__ ((__noreturn__));
    terminate();
  }
#pragma GCC visibility pop
}
# 339 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 532 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
#pragma GCC visibility push(default)




  constexpr inline bool
  __is_constant_evaluated() noexcept
  {





    return __builtin_is_constant_evaluated();



  }
#pragma GCC visibility pop
}
# 679 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 1 3
# 39 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 3
# 1 "/usr/include/features.h" 1 3 4
# 394 "/usr/include/features.h" 3 4
# 1 "/usr/include/features-time64.h" 1 3 4
# 20 "/usr/include/features-time64.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 21 "/usr/include/features-time64.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/timesize.h" 1 3 4
# 22 "/usr/include/features-time64.h" 2 3 4
# 395 "/usr/include/features.h" 2 3 4
# 502 "/usr/include/features.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 1 3 4
# 576 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 577 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 578 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 2 3 4
# 503 "/usr/include/features.h" 2 3 4
# 526 "/usr/include/features.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 1 3 4




# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 6 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/gnu/stubs-lp64.h" 1 3 4
# 9 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 2 3 4
# 527 "/usr/include/features.h" 2 3 4
# 40 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 2 3
# 680 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/cpu_defines.h" 1 3
# 683 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3
# 882 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
# 1 "/usr/include/c++/13/pstl/pstl_config.h" 1 3
# 883 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3
# 42 "/usr/include/c++/13/climits" 2 3
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 1 3 4
# 34 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/syslimits.h" 1 3 4






# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 1 3 4
# 205 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 3 4
# 1 "/usr/include/limits.h" 1 3 4
# 26 "/usr/include/limits.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/limits.h" 2 3 4
# 195 "/usr/include/limits.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 161 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 1 3 4
# 38 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/linux/limits.h" 1 3 4
# 39 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 2 3 4
# 81 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/pthread_stack_min-dynamic.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/pthread_stack_min-dynamic.h" 3 4
extern "C" {
extern long int __sysconf (int __name) noexcept (true);
}
# 82 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 2 3 4
# 162 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 196 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/posix2_lim.h" 1 3 4
# 200 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 1 3 4
# 64 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/uio_lim.h" 1 3 4
# 65 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 2 3 4
# 204 "/usr/include/limits.h" 2 3 4
# 206 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 2 3 4
# 8 "/usr/lib/gcc/aarch64-linux-gnu/13/include/syslimits.h" 2 3 4
# 35 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 2 3 4
# 43 "/usr/include/c++/13/climits" 2 3
# 29 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2
# 1 "/usr/include/c++/13/locale" 1 3
# 36 "/usr/include/c++/13/locale" 3
       
# 37 "/usr/include/c++/13/locale" 3

# 1 "/usr/include/c++/13/bits/requires_hosted.h" 1 3
# 39 "/usr/include/c++/13/locale" 2 3

# 1 "/usr/include/c++/13/bits/localefwd.h" 1 3
# 37 "/usr/include/c++/13/bits/localefwd.h" 3
       
# 38 "/usr/include/c++/13/bits/localefwd.h" 3


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 1 3
# 39 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 3
       
# 40 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 3

# 1 "/usr/include/c++/13/clocale" 1 3
# 39 "/usr/include/c++/13/clocale" 3
       
# 40 "/usr/include/c++/13/clocale" 3


# 1 "/usr/include/locale.h" 1 3 4
# 28 "/usr/include/locale.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 29 "/usr/include/locale.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/locale.h" 1 3 4
# 30 "/usr/include/locale.h" 2 3 4

extern "C" {
# 51 "/usr/include/locale.h" 3 4
struct lconv
{


  char *decimal_point;
  char *thousands_sep;





  char *grouping;





  char *int_curr_symbol;
  char *currency_symbol;
  char *mon_decimal_point;
  char *mon_thousands_sep;
  char *mon_grouping;
  char *positive_sign;
  char *negative_sign;
  char int_frac_digits;
  char frac_digits;

  char p_cs_precedes;

  char p_sep_by_space;

  char n_cs_precedes;

  char n_sep_by_space;






  char p_sign_posn;
  char n_sign_posn;


  char int_p_cs_precedes;

  char int_p_sep_by_space;

  char int_n_cs_precedes;

  char int_n_sep_by_space;






  char int_p_sign_posn;
  char int_n_sign_posn;
# 118 "/usr/include/locale.h" 3 4
};



extern char *setlocale (int __category, const char *__locale) noexcept (true);


extern struct lconv *localeconv (void) noexcept (true);
# 135 "/usr/include/locale.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 1 3 4
# 22 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/__locale_t.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/types/__locale_t.h" 3 4
struct __locale_struct
{

  struct __locale_data *__locales[13];


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


  const char *__names[13];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 2 3 4

typedef __locale_t locale_t;
# 136 "/usr/include/locale.h" 2 3 4





extern locale_t newlocale (int __category_mask, const char *__locale,
      locale_t __base) noexcept (true);
# 176 "/usr/include/locale.h" 3 4
extern locale_t duplocale (locale_t __dataset) noexcept (true);



extern void freelocale (locale_t __dataset) noexcept (true);






extern locale_t uselocale (locale_t __dataset) noexcept (true);







}
# 43 "/usr/include/c++/13/clocale" 2 3
# 51 "/usr/include/c++/13/clocale" 3
namespace std
{
  using ::lconv;
  using ::setlocale;
  using ::localeconv;
}
# 42 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 2 3






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


  extern "C" __typeof(uselocale) __uselocale;


}


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


  typedef __locale_t __c_locale;
# 73 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 3
  inline int
  __convert_from_v(const __c_locale& __cloc __attribute__ ((__unused__)),
     char* __out,
     const int __size __attribute__ ((__unused__)),
     const char* __fmt, ...)
  {

    __c_locale __old = __gnu_cxx::__uselocale(__cloc);
# 93 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++locale.h" 3
    __builtin_va_list __args;
    __builtin_va_start(__args, __fmt);


    const int __ret = __builtin_vsnprintf(__out, __size, __fmt, __args);




    __builtin_va_end(__args);


    __gnu_cxx::__uselocale(__old);







    return __ret;
  }







}
# 41 "/usr/include/c++/13/bits/localefwd.h" 2 3
# 1 "/usr/include/c++/13/iosfwd" 1 3
# 36 "/usr/include/c++/13/iosfwd" 3
       
# 37 "/usr/include/c++/13/iosfwd" 3




# 1 "/usr/include/c++/13/bits/stringfwd.h" 1 3
# 37 "/usr/include/c++/13/bits/stringfwd.h" 3
       
# 38 "/usr/include/c++/13/bits/stringfwd.h" 3


# 1 "/usr/include/c++/13/bits/memoryfwd.h" 1 3
# 46 "/usr/include/c++/13/bits/memoryfwd.h" 3
       
# 47 "/usr/include/c++/13/bits/memoryfwd.h" 3



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

# 64 "/usr/include/c++/13/bits/memoryfwd.h" 3
  template<typename>
    class allocator;

  template<>
    class allocator<void>;




  template<typename, typename>
    struct uses_allocator;

  template<typename>
    struct allocator_traits;





}
# 41 "/usr/include/c++/13/bits/stringfwd.h" 2 3

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








  template<class _CharT>
    struct char_traits;

  template<> struct char_traits<char>;

  template<> struct char_traits<wchar_t>;






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


namespace __cxx11 {

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

}


  typedef basic_string<char> string;


  typedef basic_string<wchar_t> wstring;
# 89 "/usr/include/c++/13/bits/stringfwd.h" 3
  typedef basic_string<char16_t> u16string;


  typedef basic_string<char32_t> u32string;





}
# 42 "/usr/include/c++/13/iosfwd" 2 3
# 1 "/usr/include/c++/13/bits/postypes.h" 1 3
# 38 "/usr/include/c++/13/bits/postypes.h" 3
       
# 39 "/usr/include/c++/13/bits/postypes.h" 3

# 1 "/usr/include/c++/13/cwchar" 1 3
# 39 "/usr/include/c++/13/cwchar" 3
       
# 40 "/usr/include/c++/13/cwchar" 3




# 1 "/usr/include/wchar.h" 1 3 4
# 27 "/usr/include/wchar.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 2 3 4
# 95 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 2 3 4
# 96 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 2 3 4
# 31 "/usr/include/wchar.h" 2 3 4




# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 214 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 36 "/usr/include/wchar.h" 2 3 4


# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 1 3 4
# 40 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 39 "/usr/include/wchar.h" 2 3 4




typedef __gnuc_va_list va_list;







# 1 "/usr/include/aarch64-linux-gnu/bits/wchar.h" 1 3 4
# 52 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/wint_t.h" 1 3 4
# 20 "/usr/include/aarch64-linux-gnu/bits/types/wint_t.h" 3 4
typedef unsigned int wint_t;
# 53 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/mbstate_t.h" 1 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/types/__mbstate_t.h" 1 3 4
# 13 "/usr/include/aarch64-linux-gnu/bits/types/__mbstate_t.h" 3 4
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 5 "/usr/include/aarch64-linux-gnu/bits/types/mbstate_t.h" 2 3 4

typedef __mbstate_t mbstate_t;
# 54 "/usr/include/wchar.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/__FILE.h" 1 3 4



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


# 1 "/usr/include/aarch64-linux-gnu/bits/types/FILE.h" 1 3 4



struct _IO_FILE;


typedef struct _IO_FILE FILE;
# 58 "/usr/include/wchar.h" 2 3 4
# 90 "/usr/include/wchar.h" 3 4
extern "C" {



struct tm;



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


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



extern size_t wcslcpy (wchar_t *__restrict __dest,
         const wchar_t *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



extern size_t wcslcat (wchar_t *__restrict __dest,
         const wchar_t *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__read_write__, 1, 3)));



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

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


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

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



extern int wcscasecmp (const wchar_t *__s1, const wchar_t *__s2) noexcept (true);


extern int wcsncasecmp (const wchar_t *__s1, const wchar_t *__s2,
   size_t __n) noexcept (true);



extern int wcscasecmp_l (const wchar_t *__s1, const wchar_t *__s2,
    locale_t __loc) noexcept (true);

extern int wcsncasecmp_l (const wchar_t *__s1, const wchar_t *__s2,
     size_t __n, locale_t __loc) noexcept (true);




extern int wcscoll (const wchar_t *__s1, const wchar_t *__s2) noexcept (true);



extern size_t wcsxfrm (wchar_t *__restrict __s1,
         const wchar_t *__restrict __s2, size_t __n) noexcept (true);







extern int wcscoll_l (const wchar_t *__s1, const wchar_t *__s2,
        locale_t __loc) noexcept (true);




extern size_t wcsxfrm_l (wchar_t *__s1, const wchar_t *__s2,
    size_t __n, locale_t __loc) noexcept (true);


extern wchar_t *wcsdup (const wchar_t *__s) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (__builtin_free, 1)));




extern "C++" wchar_t *wcschr (wchar_t *__wcs, wchar_t __wc)
     noexcept (true) __asm ("wcschr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcschr (const wchar_t *__wcs, wchar_t __wc)
     noexcept (true) __asm ("wcschr") __attribute__ ((__pure__));






extern "C++" wchar_t *wcsrchr (wchar_t *__wcs, wchar_t __wc)
     noexcept (true) __asm ("wcsrchr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcsrchr (const wchar_t *__wcs, wchar_t __wc)
     noexcept (true) __asm ("wcsrchr") __attribute__ ((__pure__));
# 206 "/usr/include/wchar.h" 3 4
extern wchar_t *wcschrnul (const wchar_t *__s, wchar_t __wc)
     noexcept (true) __attribute__ ((__pure__));




extern size_t wcscspn (const wchar_t *__wcs, const wchar_t *__reject)
     noexcept (true) __attribute__ ((__pure__));


extern size_t wcsspn (const wchar_t *__wcs, const wchar_t *__accept)
     noexcept (true) __attribute__ ((__pure__));


extern "C++" wchar_t *wcspbrk (wchar_t *__wcs, const wchar_t *__accept)
     noexcept (true) __asm ("wcspbrk") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcspbrk (const wchar_t *__wcs,
         const wchar_t *__accept)
     noexcept (true) __asm ("wcspbrk") __attribute__ ((__pure__));






extern "C++" wchar_t *wcsstr (wchar_t *__haystack, const wchar_t *__needle)
     noexcept (true) __asm ("wcsstr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcsstr (const wchar_t *__haystack,
        const wchar_t *__needle)
     noexcept (true) __asm ("wcsstr") __attribute__ ((__pure__));






extern wchar_t *wcstok (wchar_t *__restrict __s,
   const wchar_t *__restrict __delim,
   wchar_t **__restrict __ptr) noexcept (true);


extern size_t wcslen (const wchar_t *__s) noexcept (true) __attribute__ ((__pure__));




extern "C++" wchar_t *wcswcs (wchar_t *__haystack, const wchar_t *__needle)
     noexcept (true) __asm ("wcswcs") __attribute__ ((__pure__));
extern "C++" const wchar_t *wcswcs (const wchar_t *__haystack,
        const wchar_t *__needle)
     noexcept (true) __asm ("wcswcs") __attribute__ ((__pure__));
# 265 "/usr/include/wchar.h" 3 4
extern size_t wcsnlen (const wchar_t *__s, size_t __maxlen)
     noexcept (true) __attribute__ ((__pure__));





extern "C++" wchar_t *wmemchr (wchar_t *__s, wchar_t __c, size_t __n)
     noexcept (true) __asm ("wmemchr") __attribute__ ((__pure__));
extern "C++" const wchar_t *wmemchr (const wchar_t *__s, wchar_t __c,
         size_t __n)
     noexcept (true) __asm ("wmemchr") __attribute__ ((__pure__));






extern int wmemcmp (const wchar_t *__s1, const wchar_t *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__));


extern wchar_t *wmemcpy (wchar_t *__restrict __s1,
    const wchar_t *__restrict __s2, size_t __n) noexcept (true);



extern wchar_t *wmemmove (wchar_t *__s1, const wchar_t *__s2, size_t __n)
     noexcept (true);


extern wchar_t *wmemset (wchar_t *__s, wchar_t __c, size_t __n) noexcept (true);




extern wchar_t *wmempcpy (wchar_t *__restrict __s1,
     const wchar_t *__restrict __s2, size_t __n)
     noexcept (true);





extern wint_t btowc (int __c) noexcept (true);



extern int wctob (wint_t __c) noexcept (true);



extern int mbsinit (const mbstate_t *__ps) noexcept (true) __attribute__ ((__pure__));



extern size_t mbrtowc (wchar_t *__restrict __pwc,
         const char *__restrict __s, size_t __n,
         mbstate_t *__restrict __p) noexcept (true);


extern size_t wcrtomb (char *__restrict __s, wchar_t __wc,
         mbstate_t *__restrict __ps) noexcept (true);


extern size_t __mbrlen (const char *__restrict __s, size_t __n,
   mbstate_t *__restrict __ps) noexcept (true);
extern size_t mbrlen (const char *__restrict __s, size_t __n,
        mbstate_t *__restrict __ps) noexcept (true);
# 362 "/usr/include/wchar.h" 3 4
extern size_t mbsrtowcs (wchar_t *__restrict __dst,
    const char **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) noexcept (true);



extern size_t wcsrtombs (char *__restrict __dst,
    const wchar_t **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) noexcept (true);





extern size_t mbsnrtowcs (wchar_t *__restrict __dst,
     const char **__restrict __src, size_t __nmc,
     size_t __len, mbstate_t *__restrict __ps) noexcept (true);



extern size_t wcsnrtombs (char *__restrict __dst,
     const wchar_t **__restrict __src,
     size_t __nwc, size_t __len,
     mbstate_t *__restrict __ps) noexcept (true);






extern int wcwidth (wchar_t __c) noexcept (true);



extern int wcswidth (const wchar_t *__s, size_t __n) noexcept (true);





extern double wcstod (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr) noexcept (true);



extern float wcstof (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) noexcept (true);
extern long double wcstold (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) noexcept (true);
# 422 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32 (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr) noexcept (true);



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



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



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



extern _Float64x wcstof64x (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) noexcept (true);
# 455 "/usr/include/wchar.h" 3 4
extern long int wcstol (const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, int __base) noexcept (true);



extern unsigned long int wcstoul (const wchar_t *__restrict __nptr,
      wchar_t **__restrict __endptr, int __base)
     noexcept (true);




__extension__
extern long long int wcstoll (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, int __base)
     noexcept (true);



__extension__
extern unsigned long long int wcstoull (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr,
     int __base) noexcept (true);





__extension__
extern long long int wcstoq (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr, int __base)
     noexcept (true);



__extension__
extern unsigned long long int wcstouq (const wchar_t *__restrict __nptr,
           wchar_t **__restrict __endptr,
           int __base) noexcept (true);






extern long int wcstol (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstol")

                                   ;
extern unsigned long int wcstoul (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstoul")


                                     ;
__extension__
extern long long int wcstoll (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstoll")


                                        ;
__extension__
extern unsigned long long int wcstoull (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstoull")


                                           ;

__extension__
extern long long int wcstoq (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstoll")

                                         ;
__extension__
extern unsigned long long int wcstouq (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_wcstoull")


                                           ;
# 561 "/usr/include/wchar.h" 3 4
extern long int wcstol_l (const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr, int __base,
     locale_t __loc) noexcept (true);

extern unsigned long int wcstoul_l (const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr,
        int __base, locale_t __loc) noexcept (true);

__extension__
extern long long int wcstoll_l (const wchar_t *__restrict __nptr,
    wchar_t **__restrict __endptr,
    int __base, locale_t __loc) noexcept (true);

__extension__
extern unsigned long long int wcstoull_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       int __base, locale_t __loc)
     noexcept (true);





extern long int wcstol_l (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_wcstol_l")


                      ;
extern unsigned long int wcstoul_l (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_wcstoul_l")



                         ;
__extension__
extern long long int wcstoll_l (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_wcstoll_l")



                            ;
__extension__
extern unsigned long long int wcstoull_l (const wchar_t *__restrict __nptr, wchar_t **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_wcstoull_l")



                               ;
# 630 "/usr/include/wchar.h" 3 4
extern double wcstod_l (const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, locale_t __loc)
     noexcept (true);

extern float wcstof_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, locale_t __loc)
     noexcept (true);

extern long double wcstold_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) noexcept (true);
# 649 "/usr/include/wchar.h" 3 4
extern _Float32 wcstof32_l (const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       locale_t __loc) noexcept (true);



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



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



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



extern _Float64x wcstof64x_l (const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         locale_t __loc) noexcept (true);
# 689 "/usr/include/wchar.h" 3 4
extern wchar_t *wcpcpy (wchar_t *__restrict __dest,
   const wchar_t *__restrict __src) noexcept (true);



extern wchar_t *wcpncpy (wchar_t *__restrict __dest,
    const wchar_t *__restrict __src, size_t __n)
     noexcept (true);
# 718 "/usr/include/wchar.h" 3 4
extern __FILE *open_wmemstream (wchar_t **__bufloc, size_t *__sizeloc) noexcept (true)
  __attribute__ ((__malloc__)) ;





extern int fwide (__FILE *__fp, int __mode) noexcept (true);






extern int fwprintf (__FILE *__restrict __stream,
       const wchar_t *__restrict __format, ...)
                                                           ;




extern int wprintf (const wchar_t *__restrict __format, ...)
                                                           ;

extern int swprintf (wchar_t *__restrict __s, size_t __n,
       const wchar_t *__restrict __format, ...)
     noexcept (true) ;





extern int vfwprintf (__FILE *__restrict __s,
        const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
                                                           ;




extern int vwprintf (const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                           ;


extern int vswprintf (wchar_t *__restrict __s, size_t __n,
        const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
     noexcept (true) ;






extern int fwscanf (__FILE *__restrict __stream,
      const wchar_t *__restrict __format, ...)
                                                          ;




extern int wscanf (const wchar_t *__restrict __format, ...)
                                                          ;

extern int swscanf (const wchar_t *__restrict __s,
      const wchar_t *__restrict __format, ...)
     noexcept (true) ;
# 795 "/usr/include/wchar.h" 3 4
extern int fwscanf (__FILE *__restrict __stream, const wchar_t *__restrict __format, ...) __asm__ ("" "__isoc23_fwscanf")


                                                          ;
extern int wscanf (const wchar_t *__restrict __format, ...) __asm__ ("" "__isoc23_wscanf")

                                                          ;
extern int swscanf (const wchar_t *__restrict __s, const wchar_t *__restrict __format, ...) noexcept (true) __asm__ ("" "__isoc23_swscanf")


                                                          ;
# 851 "/usr/include/wchar.h" 3 4
extern int vfwscanf (__FILE *__restrict __s,
       const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                          ;




extern int vwscanf (const wchar_t *__restrict __format,
      __gnuc_va_list __arg)
                                                          ;

extern int vswscanf (const wchar_t *__restrict __s,
       const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
     noexcept (true) ;
# 875 "/usr/include/wchar.h" 3 4
extern int vfwscanf (__FILE *__restrict __s, const wchar_t *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vfwscanf")


                                                          ;
extern int vwscanf (const wchar_t *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vwscanf")

                                                          ;
extern int vswscanf (const wchar_t *__restrict __s, const wchar_t *__restrict __format, __gnuc_va_list __arg) noexcept (true) __asm__ ("" "__isoc23_vswscanf")


                                                          ;
# 935 "/usr/include/wchar.h" 3 4
extern wint_t fgetwc (__FILE *__stream);
extern wint_t getwc (__FILE *__stream);





extern wint_t getwchar (void);






extern wint_t fputwc (wchar_t __wc, __FILE *__stream);
extern wint_t putwc (wchar_t __wc, __FILE *__stream);





extern wint_t putwchar (wchar_t __wc);







extern wchar_t *fgetws (wchar_t *__restrict __ws, int __n,
   __FILE *__restrict __stream);





extern int fputws (const wchar_t *__restrict __ws,
     __FILE *__restrict __stream);






extern wint_t ungetwc (wint_t __wc, __FILE *__stream);
# 990 "/usr/include/wchar.h" 3 4
extern wint_t getwc_unlocked (__FILE *__stream);
extern wint_t getwchar_unlocked (void);







extern wint_t fgetwc_unlocked (__FILE *__stream);







extern wint_t fputwc_unlocked (wchar_t __wc, __FILE *__stream);
# 1016 "/usr/include/wchar.h" 3 4
extern wint_t putwc_unlocked (wchar_t __wc, __FILE *__stream);
extern wint_t putwchar_unlocked (wchar_t __wc);
# 1026 "/usr/include/wchar.h" 3 4
extern wchar_t *fgetws_unlocked (wchar_t *__restrict __ws, int __n,
     __FILE *__restrict __stream);







extern int fputws_unlocked (const wchar_t *__restrict __ws,
       __FILE *__restrict __stream);






extern size_t wcsftime (wchar_t *__restrict __s, size_t __maxsize,
   const wchar_t *__restrict __format,
   const struct tm *__restrict __tp) noexcept (true);




extern size_t wcsftime_l (wchar_t *__restrict __s, size_t __maxsize,
     const wchar_t *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) noexcept (true);
# 1073 "/usr/include/wchar.h" 3 4
}
# 45 "/usr/include/c++/13/cwchar" 2 3
# 62 "/usr/include/c++/13/cwchar" 3
namespace std
{
  using ::mbstate_t;
}
# 135 "/usr/include/c++/13/cwchar" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::wint_t;

  using ::btowc;
  using ::fgetwc;
  using ::fgetws;
  using ::fputwc;
  using ::fputws;
  using ::fwide;
  using ::fwprintf;
  using ::fwscanf;
  using ::getwc;
  using ::getwchar;
  using ::mbrlen;
  using ::mbrtowc;
  using ::mbsinit;
  using ::mbsrtowcs;
  using ::putwc;
  using ::putwchar;

  using ::swprintf;

  using ::swscanf;
  using ::ungetwc;
  using ::vfwprintf;

  using ::vfwscanf;


  using ::vswprintf;


  using ::vswscanf;

  using ::vwprintf;

  using ::vwscanf;

  using ::wcrtomb;
  using ::wcscat;
  using ::wcscmp;
  using ::wcscoll;
  using ::wcscpy;
  using ::wcscspn;
  using ::wcsftime;
  using ::wcslen;
  using ::wcsncat;
  using ::wcsncmp;
  using ::wcsncpy;
  using ::wcsrtombs;
  using ::wcsspn;
  using ::wcstod;

  using ::wcstof;

  using ::wcstok;
  using ::wcstol;
  using ::wcstoul;
  using ::wcsxfrm;
  using ::wctob;
  using ::wmemcmp;
  using ::wmemcpy;
  using ::wmemmove;
  using ::wmemset;
  using ::wprintf;
  using ::wscanf;
  using ::wcschr;
  using ::wcspbrk;
  using ::wcsrchr;
  using ::wcsstr;
  using ::wmemchr;
# 234 "/usr/include/c++/13/cwchar" 3

}
}







namespace __gnu_cxx
{





  using ::wcstold;
# 260 "/usr/include/c++/13/cwchar" 3
  using ::wcstoll;
  using ::wcstoull;

}

namespace std
{
  using ::__gnu_cxx::wcstold;
  using ::__gnu_cxx::wcstoll;
  using ::__gnu_cxx::wcstoull;
}
# 280 "/usr/include/c++/13/cwchar" 3
namespace std
{

  using std::wcstof;


  using std::vfwscanf;


  using std::vswscanf;


  using std::vwscanf;



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

}
# 41 "/usr/include/c++/13/bits/postypes.h" 2 3

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

# 62 "/usr/include/c++/13/bits/postypes.h" 3
  typedef long int streamoff;





  typedef ptrdiff_t streamsize;
# 81 "/usr/include/c++/13/bits/postypes.h" 3
  template<typename _StateT>
    class fpos
    {
    private:
      streamoff _M_off;
      _StateT _M_state;

    public:




      fpos()
      : _M_off(0), _M_state() { }
# 103 "/usr/include/c++/13/bits/postypes.h" 3
      fpos(streamoff __off)
      : _M_off(__off), _M_state() { }


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



      operator streamoff() const { return _M_off; }


      void
      state(_StateT __st)
      { _M_state = __st; }


      _StateT
      state() const
      { return _M_state; }





      fpos&
      operator+=(streamoff __off)
      {
 _M_off += __off;
 return *this;
      }





      fpos&
      operator-=(streamoff __off)
      {
 _M_off -= __off;
 return *this;
      }







      fpos
      operator+(streamoff __off) const
      {
 fpos __pos(*this);
 __pos += __off;
 return __pos;
      }







      fpos
      operator-(streamoff __off) const
      {
 fpos __pos(*this);
 __pos -= __off;
 return __pos;
      }






      streamoff
      operator-(const fpos& __other) const
      { return _M_off - __other._M_off; }
    };






  template<typename _StateT>
    inline bool
    operator==(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
    { return streamoff(__lhs) == streamoff(__rhs); }

  template<typename _StateT>
    inline bool
    operator!=(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
    { return streamoff(__lhs) != streamoff(__rhs); }





  typedef fpos<mbstate_t> streampos;

  typedef fpos<mbstate_t> wstreampos;
# 215 "/usr/include/c++/13/bits/postypes.h" 3
  typedef fpos<mbstate_t> u16streampos;

  typedef fpos<mbstate_t> u32streampos;



}
# 43 "/usr/include/c++/13/iosfwd" 2 3

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

# 76 "/usr/include/c++/13/iosfwd" 3
  class ios_base;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ios;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_streambuf;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_istream;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ostream;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_iostream;


namespace __cxx11 {

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

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

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

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

}

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_filebuf;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ifstream;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ofstream;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_fstream;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class ostreambuf_iterator;



  typedef basic_ios<char> ios;


  typedef basic_streambuf<char> streambuf;


  typedef basic_istream<char> istream;


  typedef basic_ostream<char> ostream;


  typedef basic_iostream<char> iostream;


  typedef basic_stringbuf<char> stringbuf;


  typedef basic_istringstream<char> istringstream;


  typedef basic_ostringstream<char> ostringstream;


  typedef basic_stringstream<char> stringstream;


  typedef basic_filebuf<char> filebuf;


  typedef basic_ifstream<char> ifstream;


  typedef basic_ofstream<char> ofstream;


  typedef basic_fstream<char> fstream;



  typedef basic_ios<wchar_t> wios;


  typedef basic_streambuf<wchar_t> wstreambuf;


  typedef basic_istream<wchar_t> wistream;


  typedef basic_ostream<wchar_t> wostream;


  typedef basic_iostream<wchar_t> wiostream;


  typedef basic_stringbuf<wchar_t> wstringbuf;


  typedef basic_istringstream<wchar_t> wistringstream;


  typedef basic_ostringstream<wchar_t> wostringstream;


  typedef basic_stringstream<wchar_t> wstringstream;


  typedef basic_filebuf<wchar_t> wfilebuf;


  typedef basic_ifstream<wchar_t> wifstream;


  typedef basic_ofstream<wchar_t> wofstream;


  typedef basic_fstream<wchar_t> wfstream;
# 255 "/usr/include/c++/13/iosfwd" 3

}
# 42 "/usr/include/c++/13/bits/localefwd.h" 2 3
# 1 "/usr/include/c++/13/cctype" 1 3
# 39 "/usr/include/c++/13/cctype" 3
       
# 40 "/usr/include/c++/13/cctype" 3


# 1 "/usr/include/ctype.h" 1 3 4
# 26 "/usr/include/ctype.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/timesize.h" 1 3 4
# 29 "/usr/include/aarch64-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 __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/include/aarch64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/typesizes.h" 1 3 4
# 142 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/time64.h" 1 3 4
# 143 "/usr/include/aarch64-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 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 long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 27 "/usr/include/ctype.h" 2 3 4

extern "C" {
# 39 "/usr/include/ctype.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/endian.h" 1 3 4
# 35 "/usr/include/aarch64-linux-gnu/bits/endian.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/endianness.h" 1 3 4
# 36 "/usr/include/aarch64-linux-gnu/bits/endian.h" 2 3 4
# 40 "/usr/include/ctype.h" 2 3 4






enum
{
  _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
  _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
  _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
  _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
  _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
  _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
  _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
  _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
  _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
  _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
  _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
  _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
};
# 79 "/usr/include/ctype.h" 3 4
extern const unsigned short int **__ctype_b_loc (void)
     noexcept (true) __attribute__ ((__const__));
extern const __int32_t **__ctype_tolower_loc (void)
     noexcept (true) __attribute__ ((__const__));
extern const __int32_t **__ctype_toupper_loc (void)
     noexcept (true) __attribute__ ((__const__));
# 108 "/usr/include/ctype.h" 3 4
extern int isalnum (int) noexcept (true);
extern int isalpha (int) noexcept (true);
extern int iscntrl (int) noexcept (true);
extern int isdigit (int) noexcept (true);
extern int islower (int) noexcept (true);
extern int isgraph (int) noexcept (true);
extern int isprint (int) noexcept (true);
extern int ispunct (int) noexcept (true);
extern int isspace (int) noexcept (true);
extern int isupper (int) noexcept (true);
extern int isxdigit (int) noexcept (true);



extern int tolower (int __c) noexcept (true);


extern int toupper (int __c) noexcept (true);




extern int isblank (int) noexcept (true);




extern int isctype (int __c, int __mask) noexcept (true);






extern int isascii (int __c) noexcept (true);



extern int toascii (int __c) noexcept (true);



extern int _toupper (int) noexcept (true);
extern int _tolower (int) noexcept (true);
# 251 "/usr/include/ctype.h" 3 4
extern int isalnum_l (int, locale_t) noexcept (true);
extern int isalpha_l (int, locale_t) noexcept (true);
extern int iscntrl_l (int, locale_t) noexcept (true);
extern int isdigit_l (int, locale_t) noexcept (true);
extern int islower_l (int, locale_t) noexcept (true);
extern int isgraph_l (int, locale_t) noexcept (true);
extern int isprint_l (int, locale_t) noexcept (true);
extern int ispunct_l (int, locale_t) noexcept (true);
extern int isspace_l (int, locale_t) noexcept (true);
extern int isupper_l (int, locale_t) noexcept (true);
extern int isxdigit_l (int, locale_t) noexcept (true);

extern int isblank_l (int, locale_t) noexcept (true);



extern int __tolower_l (int __c, locale_t __l) noexcept (true);
extern int tolower_l (int __c, locale_t __l) noexcept (true);


extern int __toupper_l (int __c, locale_t __l) noexcept (true);
extern int toupper_l (int __c, locale_t __l) noexcept (true);
# 327 "/usr/include/ctype.h" 3 4
}
# 43 "/usr/include/c++/13/cctype" 2 3
# 62 "/usr/include/c++/13/cctype" 3
namespace std
{
  using ::isalnum;
  using ::isalpha;
  using ::iscntrl;
  using ::isdigit;
  using ::isgraph;
  using ::islower;
  using ::isprint;
  using ::ispunct;
  using ::isspace;
  using ::isupper;
  using ::isxdigit;
  using ::tolower;
  using ::toupper;
}







namespace std
{
  using ::isblank;
}
# 43 "/usr/include/c++/13/bits/localefwd.h" 2 3

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

# 55 "/usr/include/c++/13/bits/localefwd.h" 3
  class locale;

  template<typename _Facet>
    bool
    has_facet(const locale&) throw();

  template<typename _Facet>
    const _Facet&
    use_facet(const locale&);


  template<typename _CharT>
    bool
    isspace(_CharT, const locale&);

  template<typename _CharT>
    bool
    isprint(_CharT, const locale&);

  template<typename _CharT>
    bool
    iscntrl(_CharT, const locale&);

  template<typename _CharT>
    bool
    isupper(_CharT, const locale&);

  template<typename _CharT>
    bool
    islower(_CharT, const locale&);

  template<typename _CharT>
    bool
    isalpha(_CharT, const locale&);

  template<typename _CharT>
    bool
    isdigit(_CharT, const locale&);

  template<typename _CharT>
    bool
    ispunct(_CharT, const locale&);

  template<typename _CharT>
    bool
    isxdigit(_CharT, const locale&);

  template<typename _CharT>
    bool
    isalnum(_CharT, const locale&);

  template<typename _CharT>
    bool
    isgraph(_CharT, const locale&);


  template<typename _CharT>
    bool
    isblank(_CharT, const locale&);


  template<typename _CharT>
    _CharT
    toupper(_CharT, const locale&);

  template<typename _CharT>
    _CharT
    tolower(_CharT, const locale&);


  struct ctype_base;
  template<typename _CharT>
    class ctype;
  template<> class ctype<char>;

  template<> class ctype<wchar_t>;

  template<typename _CharT>
    class ctype_byname;


  class codecvt_base;
  template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt;
  template<> class codecvt<char, char, mbstate_t>;

  template<> class codecvt<wchar_t, char, mbstate_t>;


  template<> class codecvt<char16_t, char, mbstate_t>;
  template<> class codecvt<char32_t, char, mbstate_t>;





  template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt_byname;



  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class num_get;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class num_put;

namespace __cxx11 {
  template<typename _CharT> class numpunct;
  template<typename _CharT> class numpunct_byname;
}

namespace __cxx11 {

  template<typename _CharT>
    class collate;
  template<typename _CharT>
    class collate_byname;
}


  class time_base;
namespace __cxx11 {
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class time_get;
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class time_get_byname;
}
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class time_put;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class time_put_byname;


  class money_base;
namespace __cxx11 {
  template<typename _CharT, typename _InIter = istreambuf_iterator<_CharT> >
    class money_get;
  template<typename _CharT, typename _OutIter = ostreambuf_iterator<_CharT> >
    class money_put;
}
namespace __cxx11 {
  template<typename _CharT, bool _Intl = false>
    class moneypunct;
  template<typename _CharT, bool _Intl = false>
    class moneypunct_byname;
}


  struct messages_base;
namespace __cxx11 {
  template<typename _CharT>
    class messages;
  template<typename _CharT>
    class messages_byname;
}


}
# 41 "/usr/include/c++/13/locale" 2 3
# 1 "/usr/include/c++/13/bits/locale_classes.h" 1 3
# 37 "/usr/include/c++/13/bits/locale_classes.h" 3
       
# 38 "/usr/include/c++/13/bits/locale_classes.h" 3


# 1 "/usr/include/c++/13/string" 1 3
# 36 "/usr/include/c++/13/string" 3
       
# 37 "/usr/include/c++/13/string" 3





# 1 "/usr/include/c++/13/bits/char_traits.h" 1 3
# 37 "/usr/include/c++/13/bits/char_traits.h" 3
       
# 38 "/usr/include/c++/13/bits/char_traits.h" 3
# 46 "/usr/include/c++/13/bits/char_traits.h" 3
# 1 "/usr/include/c++/13/cwchar" 1 3
# 39 "/usr/include/c++/13/cwchar" 3
       
# 40 "/usr/include/c++/13/cwchar" 3
# 47 "/usr/include/c++/13/bits/char_traits.h" 2 3



# 1 "/usr/include/c++/13/type_traits" 1 3
# 32 "/usr/include/c++/13/type_traits" 3
       
# 33 "/usr/include/c++/13/type_traits" 3







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


  template<typename _Tp>
    class reference_wrapper;
# 61 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      typedef _Tp value_type;
      typedef integral_constant<_Tp, __v> type;
      constexpr operator value_type() const noexcept { return value; }




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

    };







  using true_type = integral_constant<bool, true>;


  using false_type = integral_constant<bool, false>;



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






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






  template<bool, typename _Tp = void>
    struct enable_if
    { };


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


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

  template<bool>
    struct __conditional
    {
      template<typename _Tp, typename>
 using type = _Tp;
    };

  template<>
    struct __conditional<false>
    {
      template<typename, typename _Up>
 using type = _Up;
    };


  template<bool _Cond, typename _If, typename _Else>
    using __conditional_t
      = typename __conditional<_Cond>::template type<_If, _Else>;


  template <typename _Type>
    struct __type_identity
    { using type = _Type; };

  template<typename _Tp>
    using __type_identity_t = typename __type_identity<_Tp>::type;

  namespace __detail
  {

    template<typename _Tp, typename...>
      using __first_t = _Tp;


    template<typename... _Bn>
      auto __or_fn(int) -> __first_t<false_type,
         __enable_if_t<!bool(_Bn::value)>...>;

    template<typename... _Bn>
      auto __or_fn(...) -> true_type;

    template<typename... _Bn>
      auto __and_fn(int) -> __first_t<true_type,
          __enable_if_t<bool(_Bn::value)>...>;

    template<typename... _Bn>
      auto __and_fn(...) -> false_type;
  }




  template<typename... _Bn>
    struct __or_
    : decltype(__detail::__or_fn<_Bn...>(0))
    { };

  template<typename... _Bn>
    struct __and_
    : decltype(__detail::__and_fn<_Bn...>(0))
    { };

  template<typename _Pp>
    struct __not_
    : __bool_constant<!bool(_Pp::value)>
    { };





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

  namespace __detail
  {
    template<typename , typename _B1, typename... _Bn>
      struct __disjunction_impl
      { using type = _B1; };

    template<typename _B1, typename _B2, typename... _Bn>
      struct __disjunction_impl<__enable_if_t<!bool(_B1::value)>, _B1, _B2, _Bn...>
      { using type = typename __disjunction_impl<void, _B2, _Bn...>::type; };

    template<typename , typename _B1, typename... _Bn>
      struct __conjunction_impl
      { using type = _B1; };

    template<typename _B1, typename _B2, typename... _Bn>
      struct __conjunction_impl<__enable_if_t<bool(_B1::value)>, _B1, _B2, _Bn...>
      { using type = typename __conjunction_impl<void, _B2, _Bn...>::type; };
  }




  template<typename... _Bn>
    struct conjunction
    : __detail::__conjunction_impl<void, _Bn...>::type
    { };

  template<>
    struct conjunction<>
    : true_type
    { };

  template<typename... _Bn>
    struct disjunction
    : __detail::__disjunction_impl<void, _Bn...>::type
    { };

  template<>
    struct disjunction<>
    : false_type
    { };

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




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

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

  template<typename _Pp>
    inline constexpr bool negation_v = negation<_Pp>::value;





  template<typename>
    struct is_reference;
  template<typename>
    struct is_function;
  template<typename>
    struct is_void;
  template<typename>
    struct remove_cv;
  template<typename>
    struct is_const;


  template<typename>
    struct __is_array_unknown_bounds;




  template <typename _Tp, size_t = sizeof(_Tp)>
    constexpr true_type __is_complete_or_unbounded(__type_identity<_Tp>)
    { return {}; }

  template <typename _TypeIdentity,
      typename _NestedType = typename _TypeIdentity::type>
    constexpr typename __or_<
      is_reference<_NestedType>,
      is_function<_NestedType>,
      is_void<_NestedType>,
      __is_array_unknown_bounds<_NestedType>
    >::type __is_complete_or_unbounded(_TypeIdentity)
    { return {}; }


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





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

  template<>
    struct is_void<void>
    : public true_type { };

  template<>
    struct is_void<const void>
    : public true_type { };

  template<>
    struct is_void<volatile void>
    : public true_type { };

  template<>
    struct is_void<const volatile void>
    : public true_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 { };




  __extension__
  template<>
    struct __is_integral_helper<__int128>
    : public true_type { };

  __extension__
  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
# 440 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<__remove_cv_t<_Tp>>::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 { };
# 500 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<__remove_cv_t<_Tp>>::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<__remove_cv_t<_Tp>>::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_member_object_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public __not_<is_function<_Tp>>::type { };


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

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

  template<typename _Tp, typename _Cp>
    struct __is_member_function_pointer_helper<_Tp _Cp::*>
    : public is_function<_Tp>::type { };


  template<typename _Tp>
    struct is_member_function_pointer
    : public __is_member_function_pointer_helper<__remove_cv_t<_Tp>>::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 _Tp>
    struct is_function
    : public __bool_constant<!is_const<const _Tp>::value> { };

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

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




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

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

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

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

  template<>
    struct is_null_pointer<const volatile std::nullptr_t>
    : public true_type { };



  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { } __attribute__ ((__deprecated__ ("use '" "std::is_null_pointer" "' instead")));




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

  template<typename _Tp>
    struct is_reference<_Tp&>
    : public true_type
    { };

  template<typename _Tp>
    struct is_reference<_Tp&&>
    : public true_type
    { };


  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
     is_null_pointer<_Tp>>::type
    { };


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

  template<typename>
    struct is_member_pointer;


  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
    { };


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


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

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



  template<typename _Tp>
    struct is_member_pointer
    : public __is_member_pointer_helper<__remove_cv_t<_Tp>>::type
    { };

  template<typename, typename>
    struct is_same;


  template<typename _Tp, typename... _Types>
    using __is_one_of = __or_<is_same<_Tp, _Types>...>;


  __extension__
  template<typename _Tp>
    using __is_signed_integer = __is_one_of<__remove_cv_t<_Tp>,
   signed char, signed short, signed int, signed long,
   signed long long

   , signed __int128
# 733 "/usr/include/c++/13/type_traits" 3
   >;


  __extension__
  template<typename _Tp>
    using __is_unsigned_integer = __is_one_of<__remove_cv_t<_Tp>,
   unsigned char, unsigned short, unsigned int, unsigned long,
   unsigned long long

   , unsigned __int128
# 753 "/usr/include/c++/13/type_traits" 3
   >;


  template<typename _Tp>
    using __is_standard_integer
      = __or_<__is_signed_integer<_Tp>, __is_unsigned_integer<_Tp>>;


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





  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)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_copyable
    : public integral_constant<bool, __is_trivially_copyable(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_standard_layout
    : public integral_constant<bool, __is_standard_layout(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };






  template<typename _Tp>
    struct
   
    is_pod
    : public integral_constant<bool, __is_pod(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct
    [[__deprecated__]]
    is_literal_type
    : public integral_constant<bool, __is_literal_type(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  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 _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

  template<typename _Tp>
    _Tp
    __declval(long);


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

  template<typename>
    struct remove_all_extents;


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

  template<typename _Tp, size_t _Size>
    struct __is_array_known_bounds<_Tp[_Size]>
    : public true_type
    { };

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

  template<typename _Tp>
    struct __is_array_unknown_bounds<_Tp[]>
    : public true_type
    { };
# 936 "/usr/include/c++/13/type_traits" 3
  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
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };







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

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

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

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

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

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

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



  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_constructible_impl
      = __bool_constant<__is_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_constructible
      : public __is_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_default_constructible
    : public __is_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename = void>
    struct __add_lvalue_reference_helper
    { using type = _Tp; };

  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, __void_t<_Tp&>>
    { using type = _Tp&; };

  template<typename _Tp>
    using __add_lval_ref_t = typename __add_lvalue_reference_helper<_Tp>::type;



  template<typename _Tp>
    struct is_copy_constructible
    : public __is_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename = void>
    struct __add_rvalue_reference_helper
    { using type = _Tp; };

  template<typename _Tp>
    struct __add_rvalue_reference_helper<_Tp, __void_t<_Tp&&>>
    { using type = _Tp&&; };

  template<typename _Tp>
    using __add_rval_ref_t = typename __add_rvalue_reference_helper<_Tp>::type;



  template<typename _Tp>
    struct is_move_constructible
    : public __is_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_nothrow_constructible_impl
      = __bool_constant<__is_nothrow_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __is_nothrow_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __is_nothrow_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_assignable_impl = __bool_constant<__is_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_assignable
    : public __is_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_copy_assignable
    : public __is_assignable_impl<__add_lval_ref_t<_Tp>,
      __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_move_assignable
    : public __is_assignable_impl<__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_nothrow_assignable_impl
      = __bool_constant<__is_nothrow_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __is_nothrow_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
       __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
       __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_trivially_constructible_impl
      = __bool_constant<__is_trivially_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __is_trivially_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_default_constructible
    : public __is_trivially_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

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

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

    static false_type __test(...);
  };

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

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

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


  template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __is_trivially_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_move_constructible
    : public __is_trivially_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_trivially_assignable_impl
      = __bool_constant<__is_trivially_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __is_trivially_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
         __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
         __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<__is_destructible_safe<_Tp>,
      __bool_constant<__has_trivial_destructor(_Tp)>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    struct has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, alignof(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  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 = 0>
    struct extent
    : public integral_constant<size_t, 0> { };

  template<typename _Tp, size_t _Size>
    struct extent<_Tp[_Size], 0>
    : public integral_constant<size_t, _Size> { };

  template<typename _Tp, unsigned _Uint, size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public extent<_Tp, _Uint - 1>::type { };

  template<typename _Tp>
    struct extent<_Tp[], 0>
    : public integral_constant<size_t, 0> { };

  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public extent<_Tp, _Uint - 1>::type { };





  template<typename _Tp, typename _Up>
    struct is_same

    : public integral_constant<bool, __is_same(_Tp, _Up)>



    { };
# 1409 "/usr/include/c++/13/type_traits" 3
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };


  template<typename _From, typename _To>
    struct is_convertible
    : public __bool_constant<__is_convertible(_From, _To)>
    { };
# 1458 "/usr/include/c++/13/type_traits" 3
  template<typename _ToElementType, typename _FromElementType>
    using __is_array_convertible
      = is_convertible<_FromElementType(*)[], _ToElementType(*)[]>;
# 1522 "/usr/include/c++/13/type_traits" 3
  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
    { using type = __remove_cv(_Tp); };
# 1563 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp>
    struct add_const
    { using type = _Tp const; };


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


  template<typename _Tp>
    struct add_cv
    { using type = _Tp const volatile; };






  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
    { using type = __remove_reference(_Tp); };
# 1628 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp>
    struct add_lvalue_reference
    { using type = __add_lval_ref_t<_Tp>; };


  template<typename _Tp>
    struct add_rvalue_reference
    { using type = __add_rval_ref_t<_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; };


  __extension__
  template<>
    struct __make_unsigned<__int128>
    { typedef unsigned __int128 __type; };
# 1741 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      using __unsigned_type
 = typename __make_unsigned<__remove_cv_t<_Tp>>::__type;

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

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

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

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

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

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


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

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

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

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





  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };
# 1815 "/usr/include/c++/13/type_traits" 3
  template<>
    struct __make_unsigned<char16_t>
    {
      using __type
 = typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

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






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


  template<> struct make_unsigned<bool>;
  template<> struct make_unsigned<bool const>;
  template<> struct make_unsigned<bool volatile>;
  template<> struct make_unsigned<bool const volatile>;




  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; };


  __extension__
  template<>
    struct __make_signed<unsigned __int128>
    { typedef __int128 __type; };
# 1901 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;

  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      using __signed_type
 = typename __make_signed<__remove_cv_t<_Tp>>::__type;

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


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

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





  template<>
    struct __make_signed<wchar_t>
    {
      using __type
 = typename __make_signed_selector<wchar_t, false, true>::__type;
    };
# 1947 "/usr/include/c++/13/type_traits" 3
  template<>
    struct __make_signed<char16_t>
    {
      using __type
 = typename __make_signed_selector<char16_t, false, true>::__type;
    };

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






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


  template<> struct make_signed<bool>;
  template<> struct make_signed<bool const>;
  template<> struct make_signed<bool volatile>;
  template<> struct make_signed<bool const volatile>;



  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, __remove_cv_t<_Tp>>
    { };

  template<typename _Tp, typename = void>
    struct __add_pointer_helper
    { using type = _Tp; };

  template<typename _Tp>
    struct __add_pointer_helper<_Tp, __void_t<_Tp*>>
    { using type = _Tp*; };


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

  template<typename _Tp>
    struct add_pointer<_Tp&>
    { using type = _Tp*; };

  template<typename _Tp>
    struct add_pointer<_Tp&&>
    { using type = _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;
      };
    };
# 2095 "/usr/include/c++/13/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;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 2141 "/usr/include/c++/13/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;
#pragma GCC diagnostic pop





  template<typename _Up>
    struct __decay_selector
    : __conditional_t<is_const<const _Up>::value,
        remove_cv<_Up>,
        add_pointer<_Up>>
    { };

  template<typename _Up, size_t _Nm>
    struct __decay_selector<_Up[_Nm]>
    { using type = _Up*; };

  template<typename _Up>
    struct __decay_selector<_Up[]>
    { using type = _Up*; };




  template<typename _Tp>
    struct decay
    { using type = typename __decay_selector<_Tp>::type; };

  template<typename _Tp>
    struct decay<_Tp&>
    { using type = typename __decay_selector<_Tp>::type; };

  template<typename _Tp>
    struct decay<_Tp&&>
    { using type = typename __decay_selector<_Tp>::type; };




  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>
    using __decay_t = typename decay<_Tp>::type;

  template<typename _Tp>
    using __decay_and_strip = __strip_reference_wrapper<__decay_t<_Tp>>;





  template<typename... _Cond>
    using _Require = __enable_if_t<__and_<_Cond...>::value>;


  template<typename _Tp>
    using __remove_cvref_t
     = typename remove_cv<typename remove_reference<_Tp>::type>::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;
# 2256 "/usr/include/c++/13/type_traits" 3
  template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

  struct __failure_type
  { };

  struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      using __cond_t
 = decltype(true ? std::declval<_Tp>() : std::declval<_Up>());



    template<typename _Tp, typename _Up>
      static __success_type<__decay_t<__cond_t<_Tp, _Up>>>
      _S_test(int);
# 2283 "/usr/include/c++/13/type_traits" 3
    template<typename, typename>
      static __failure_type
      _S_test_2(...);

    template<typename _Tp, typename _Up>
      static decltype(_S_test_2<_Tp, _Up>(0))
      _S_test(...);
  };


  template<>
    struct common_type<>
    { };


  template<typename _Tp0>
    struct common_type<_Tp0>
    : public common_type<_Tp0, _Tp0>
    { };


  template<typename _Tp1, typename _Tp2,
    typename _Dp1 = __decay_t<_Tp1>, typename _Dp2 = __decay_t<_Tp2>>
    struct __common_type_impl
    {


      using type = common_type<_Dp1, _Dp2>;
    };

  template<typename _Tp1, typename _Tp2>
    struct __common_type_impl<_Tp1, _Tp2, _Tp1, _Tp2>
    : private __do_common_type_impl
    {


      using type = decltype(_S_test<_Tp1, _Tp2>(0));
    };


  template<typename _Tp1, typename _Tp2>
    struct common_type<_Tp1, _Tp2>
    : public __common_type_impl<_Tp1, _Tp2>::type
    { };

  template<typename...>
    struct __common_type_pack
    { };

  template<typename, typename, typename = void>
    struct __common_type_fold;


  template<typename _Tp1, typename _Tp2, typename... _Rp>
    struct common_type<_Tp1, _Tp2, _Rp...>
    : public __common_type_fold<common_type<_Tp1, _Tp2>,
    __common_type_pack<_Rp...>>
    { };




  template<typename _CTp, typename... _Rp>
    struct __common_type_fold<_CTp, __common_type_pack<_Rp...>,
         __void_t<typename _CTp::type>>
    : public common_type<typename _CTp::type, _Rp...>
    { };


  template<typename _CTp, typename _Rp>
    struct __common_type_fold<_CTp, _Rp, void>
    { };

  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __underlying_type_impl
    {
      using type = __underlying_type(_Tp);
    };

  template<typename _Tp>
    struct __underlying_type_impl<_Tp, false>
    { };



  template<typename _Tp>
    struct underlying_type
    : public __underlying_type_impl<_Tp>
    { };


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






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


  template<typename _Signature>
    struct result_of;






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


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


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

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

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


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

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

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


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

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

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


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

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

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

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef __remove_cvref_t<_Arg> _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename __conditional_t<__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;
    };

  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_reference<_Arg>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename __conditional_t<is_base_of<_Class, _Argval>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type type;
    };






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

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

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

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

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


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

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

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


  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __result_of_impl<
        is_member_object_pointer<
          typename remove_reference<_Functor>::type
        >::value,
        is_member_function_pointer<
          typename remove_reference<_Functor>::type
        >::value,
 _Functor, _ArgTypes...
      >::type
    { };


  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { } __attribute__ ((__deprecated__ ("use '" "std::invoke_result" "' instead")));


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

  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;
#pragma GCC diagnostic pop


  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;
# 2659 "/usr/include/c++/13/type_traits" 3
  template<typename _Default, typename _AlwaysVoid,
    template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using type = _Default;
      using __is_detected = false_type;
    };


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

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



  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;
# 2701 "/usr/include/c++/13/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };


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


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

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


  namespace __swappable_details {
    using std::swap;

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

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

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

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

  }

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

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

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

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







  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



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


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



  namespace __swappable_with_details {
    using std::swap;

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

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

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

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

  }

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


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

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


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



  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };



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


  template<typename _Tp, typename _Up>
    inline constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;
# 2924 "/usr/include/c++/13/type_traits" 3
  template<typename _Result, typename _Ret,
    bool = is_void<_Ret>::value, typename = void>
    struct __is_invocable_impl
    : false_type
    {
      using __nothrow_conv = false_type;
    };


  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                true,
          __void_t<typename _Result::type>>
    : true_type
    {
      using __nothrow_conv = true_type;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"

  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                false,
          __void_t<typename _Result::type>>
    {
    private:

      using _Res_t = typename _Result::type;



      static _Res_t _S_get() noexcept;


      template<typename _Tp>
 static void _S_conv(__type_identity_t<_Tp>) noexcept;


      template<typename _Tp,
        bool _Nothrow = noexcept(_S_conv<_Tp>(_S_get())),
        typename = decltype(_S_conv<_Tp>(_S_get())),

        bool _Dangle = __reference_converts_from_temporary(_Tp, _Res_t)



       >
 static __bool_constant<_Nothrow && !_Dangle>
 _S_test(int);

      template<typename _Tp, bool = false>
 static false_type
 _S_test(...);

    public:

      using type = decltype(_S_test<_Ret, true>(1));


      using __nothrow_conv = decltype(_S_test<_Ret>(1));
    };
#pragma GCC diagnostic pop

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

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

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

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

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

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

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

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


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

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  struct __nonesuchbase {};
  struct __nonesuch : private __nonesuchbase {
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };
#pragma GCC diagnostic pop






  template<typename _Functor, typename... _ArgTypes>
    struct invoke_result
    : public __invoke_result<_Functor, _ArgTypes...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Functor>{}),
 "_Functor must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


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


  template<typename _Fn, typename... _ArgTypes>
    struct is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_invocable_r
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };


  template<typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable
    : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
      __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };





  template<typename _Result, typename _Ret>
    using __is_nt_invocable_impl
      = typename __is_invocable_impl<_Result, _Ret>::__nothrow_conv;



  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };
# 3155 "/usr/include/c++/13/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;

template <typename _Tp>
  inline constexpr bool is_array_v = false;
template <typename _Tp>
  inline constexpr bool is_array_v<_Tp[]> = true;
template <typename _Tp, size_t _Num>
  inline constexpr bool is_array_v<_Tp[_Num]> = true;

template <typename _Tp>
  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v = false;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v<_Tp&> = true;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v = false;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v<_Tp&&> = true;
template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    is_member_object_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    is_member_function_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_enum_v = __is_enum(_Tp);
template <typename _Tp>
  inline constexpr bool is_union_v = __is_union(_Tp);
template <typename _Tp>
  inline constexpr bool is_class_v = __is_class(_Tp);
template <typename _Tp>
  inline constexpr bool is_function_v = is_function<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_reference_v = false;
template <typename _Tp>
  inline constexpr bool is_reference_v<_Tp&> = true;
template <typename _Tp>
  inline constexpr bool is_reference_v<_Tp&&> = true;
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_object_v = is_object<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_const_v = false;
template <typename _Tp>
  inline constexpr bool is_const_v<const _Tp> = true;
template <typename _Tp>
  inline constexpr bool is_volatile_v = false;
template <typename _Tp>
  inline constexpr bool is_volatile_v<volatile _Tp> = true;

template <typename _Tp>
  inline constexpr bool is_trivial_v = __is_trivial(_Tp);
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v = __is_trivially_copyable(_Tp);
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = __is_standard_layout(_Tp);
template <typename _Tp>
 
  inline constexpr bool is_pod_v = __is_pod(_Tp);
template <typename _Tp>
  [[__deprecated__]]
  inline constexpr bool is_literal_type_v = __is_literal_type(_Tp);
template <typename _Tp>
  inline constexpr bool is_empty_v = __is_empty(_Tp);
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = __is_polymorphic(_Tp);
template <typename _Tp>
  inline constexpr bool is_abstract_v = __is_abstract(_Tp);
template <typename _Tp>
  inline constexpr bool is_final_v = __is_final(_Tp);

template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;

template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v = __is_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_default_constructible_v = __is_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v
    = __is_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_move_constructible_v
    = __is_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = __is_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v
    = __is_assignable(__add_lval_ref_t<_Tp>, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_move_assignable_v
    = __is_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);

template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;

template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v
    = __is_trivially_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v
    = __is_trivially_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v
    = __is_trivially_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v
    = __is_trivially_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v
    = __is_trivially_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v
    = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
    __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v
    = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
    __add_rval_ref_t<_Tp>);
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v
    = __is_nothrow_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v
    = __is_nothrow_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v
    = __is_nothrow_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v
    = __is_nothrow_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v
    = __is_nothrow_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v
    = __is_nothrow_assignable(__add_lval_ref_t<_Tp>,
         __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v
    = __is_nothrow_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);

template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;

template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v
    = __has_virtual_destructor(_Tp);

template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;

template <typename _Tp>
  inline constexpr size_t rank_v = 0;
template <typename _Tp, size_t _Size>
  inline constexpr size_t rank_v<_Tp[_Size]> = 1 + rank_v<_Tp>;
template <typename _Tp>
  inline constexpr size_t rank_v<_Tp[]> = 1 + rank_v<_Tp>;

template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = 0;
template <typename _Tp, size_t _Size>
  inline constexpr size_t extent_v<_Tp[_Size], 0> = _Size;
template <typename _Tp, unsigned _Idx, size_t _Size>
  inline constexpr size_t extent_v<_Tp[_Size], _Idx> = extent_v<_Tp, _Idx - 1>;
template <typename _Tp>
  inline constexpr size_t extent_v<_Tp[], 0> = 0;
template <typename _Tp, unsigned _Idx>
  inline constexpr size_t extent_v<_Tp[], _Idx> = extent_v<_Tp, _Idx - 1>;


template <typename _Tp, typename _Up>
  inline constexpr bool is_same_v = __is_same(_Tp, _Up);






template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = __is_base_of(_Base, _Derived);

template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = __is_convertible(_From, _To);




template<typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_v
    = is_nothrow_invocable<_Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_r_v
    = is_invocable_r<_Ret, _Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_r_v
    = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;






  template<typename _Tp>
    struct has_unique_object_representations
    : bool_constant<__has_unique_object_representations(
      remove_cv_t<remove_all_extents_t<_Tp>>
      )>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


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






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





  template<typename _Tp>
    inline constexpr bool is_aggregate_v = __is_aggregate(remove_cv_t<_Tp>);
# 3833 "/usr/include/c++/13/type_traits" 3

}
# 51 "/usr/include/c++/13/bits/char_traits.h" 2 3
# 64 "/usr/include/c++/13/bits/char_traits.h" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{


 
# 68 "/usr/include/c++/13/bits/char_traits.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wstringop-overflow"
#pragma GCC diagnostic ignored "-Wstringop-overread"
#pragma GCC diagnostic ignored "-Warray-bounds"
# 83 "/usr/include/c++/13/bits/char_traits.h" 3
  template<typename _CharT>
    struct _Char_types
    {
      typedef unsigned long int_type;

      typedef std::streampos pos_type;
      typedef std::streamoff off_type;
      typedef std::mbstate_t state_type;

    };
# 110 "/usr/include/c++/13/bits/char_traits.h" 3
  template<typename _CharT>
    struct char_traits
    {
      typedef _CharT char_type;
      typedef typename _Char_types<_CharT>::int_type int_type;

      typedef typename _Char_types<_CharT>::pos_type pos_type;
      typedef typename _Char_types<_CharT>::off_type off_type;
      typedef typename _Char_types<_CharT>::state_type state_type;





      static constexpr void
      assign(char_type& __c1, const char_type& __c2)
      {





 __c1 = __c2;
      }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2)
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2)
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, std::size_t __n);

      static constexpr std::size_t
      length(const char_type* __s);

      static constexpr const char_type*
      find(const char_type* __s, std::size_t __n, const char_type& __a);

      static char_type*
      move(char_type* __s1, const char_type* __s2, std::size_t __n);

      static char_type*
      copy(char_type* __s1, const char_type* __s2, std::size_t __n);

      static char_type*
      assign(char_type* __s, std::size_t __n, char_type __a);

      static constexpr char_type
      to_char_type(const int_type& __c)
      { return static_cast<char_type>(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c)
      { return static_cast<int_type>(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2)
      { return __c1 == __c2; }


      static constexpr int_type
      eof()
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c)
      { return !eq_int_type(__c, eof()) ? __c : to_int_type(char_type()); }

    };

  template<typename _CharT>
    constexpr int
    char_traits<_CharT>::
    compare(const char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      for (std::size_t __i = 0; __i < __n; ++__i)
 if (lt(__s1[__i], __s2[__i]))
   return -1;
 else if (lt(__s2[__i], __s1[__i]))
   return 1;
      return 0;
    }

  template<typename _CharT>
    constexpr std::size_t
    char_traits<_CharT>::
    length(const char_type* __p)
    {
      std::size_t __i = 0;
      while (!eq(__p[__i], char_type()))
        ++__i;
      return __i;
    }

  template<typename _CharT>
    constexpr const typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    find(const char_type* __s, std::size_t __n, const char_type& __a)
    {
      for (std::size_t __i = 0; __i < __n; ++__i)
        if (eq(__s[__i], __a))
          return __s + __i;
      return 0;
    }

  template<typename _CharT>
   
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    move(char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      if (__n == 0)
 return __s1;
# 246 "/usr/include/c++/13/bits/char_traits.h" 3
      __builtin_memmove(__s1, __s2, __n * sizeof(char_type));
      return __s1;
    }

  template<typename _CharT>
   
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    copy(char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      if (__n == 0)
 return __s1;
# 266 "/usr/include/c++/13/bits/char_traits.h" 3
      __builtin_memcpy(__s1, __s2, __n * sizeof(char_type));
      return __s1;
    }

  template<typename _CharT>
   
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    assign(char_type* __s, std::size_t __n, char_type __a)
    {
# 285 "/usr/include/c++/13/bits/char_traits.h" 3
      if constexpr (sizeof(_CharT) == 1 && __is_trivial(_CharT))
 {
   if (__n)
     {
       unsigned char __c;
       __builtin_memcpy(&__c, __builtin_addressof(__a), 1);
       __builtin_memset(__s, __c, __n);
     }
 }
      else
 {
   for (std::size_t __i = 0; __i < __n; ++__i)
     __s[__i] = __a;
 }
      return __s;
    }


}

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

# 330 "/usr/include/c++/13/bits/char_traits.h" 3
  template<typename _CharT>
    struct char_traits : public __gnu_cxx::char_traits<_CharT>
    { };



  template<>
    struct char_traits<char>
    {
      typedef char char_type;
      typedef int int_type;

      typedef streampos pos_type;
      typedef streamoff off_type;
      typedef mbstate_t state_type;





      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      {





 __c1 = __c2;
      }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      {

 return (static_cast<unsigned char>(__c1)
  < static_cast<unsigned char>(__c2));
      }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return 0;

 if (std::__is_constant_evaluated())
   {
     for (size_t __i = 0; __i < __n; ++__i)
       if (lt(__s1[__i], __s2[__i]))
  return -1;
       else if (lt(__s2[__i], __s1[__i]))
  return 1;
     return 0;
   }

 return __builtin_memcmp(__s1, __s2, __n);
      }

      static constexpr size_t
      length(const char_type* __s)
      {

 if (std::__is_constant_evaluated())
   return __gnu_cxx::char_traits<char_type>::length(__s);

 return __builtin_strlen(__s);
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 if (__n == 0)
   return 0;

 if (std::__is_constant_evaluated())
   return __gnu_cxx::char_traits<char_type>::find(__s, __n, __a);

 return static_cast<const char_type*>(__builtin_memchr(__s, __a, __n));
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return static_cast<char_type*>(__builtin_memmove(__s1, __s2, __n));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return static_cast<char_type*>(__builtin_memcpy(__s1, __s2, __n));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;




 return static_cast<char_type*>(__builtin_memset(__s, __a, __n));
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return static_cast<char_type>(__c); }



      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return static_cast<int_type>(static_cast<unsigned char>(__c)); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }


      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return (__c == eof()) ? 0 : __c; }

  };




  template<>
    struct char_traits<wchar_t>
    {
      typedef wchar_t char_type;
      typedef wint_t int_type;

      typedef streamoff off_type;
      typedef wstreampos pos_type;
      typedef mbstate_t state_type;





      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      {





 __c1 = __c2;
      }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return 0;

 if (std::__is_constant_evaluated())
   return __gnu_cxx::char_traits<char_type>::compare(__s1, __s2, __n);

 return wmemcmp(__s1, __s2, __n);
      }

      static constexpr size_t
      length(const char_type* __s)
      {

 if (std::__is_constant_evaluated())
   return __gnu_cxx::char_traits<char_type>::length(__s);

 return wcslen(__s);
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 if (__n == 0)
   return 0;

 if (std::__is_constant_evaluated())
   return __gnu_cxx::char_traits<char_type>::find(__s, __n, __a);

 return wmemchr(__s, __a, __n);
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return wmemmove(__s1, __s2, __n);
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return wmemcpy(__s1, __s2, __n);
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;




 return wmemset(__s, __a, __n);
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }


      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>((0xffffffffu)); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }

  };
# 740 "/usr/include/c++/13/bits/char_traits.h" 3

}



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


  template<>
    struct char_traits<char16_t>
    {
      typedef char16_t char_type;

      typedef short unsigned int int_type;






      typedef streamoff off_type;
      typedef u16streampos pos_type;
      typedef mbstate_t state_type;





      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      {





 __c1 = __c2;
      }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (lt(__s1[__i], __s2[__i]))
     return -1;
   else if (lt(__s2[__i], __s1[__i]))
     return 1;
 return 0;
      }

      static constexpr size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }


      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return __c == eof() ? int_type(0xfffd) : int_type(__c); }

      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }





    };

  template<>
    struct char_traits<char32_t>
    {
      typedef char32_t char_type;

      typedef unsigned int int_type;






      typedef streamoff off_type;
      typedef u32streampos pos_type;
      typedef mbstate_t state_type;





      static constexpr void
      assign(char_type& __c1, const char_type& __c2) noexcept
      {





 __c1 = __c2;
      }

      static constexpr bool
      eq(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 == __c2; }

      static constexpr bool
      lt(const char_type& __c1, const char_type& __c2) noexcept
      { return __c1 < __c2; }

      static constexpr int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (lt(__s1[__i], __s2[__i]))
     return -1;
   else if (lt(__s2[__i], __s1[__i]))
     return 1;
 return 0;
      }

      static constexpr size_t
      length(const char_type* __s)
      {
 size_t __i = 0;
 while (!eq(__s[__i], char_type()))
   ++__i;
 return __i;
      }

      static constexpr const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   if (eq(__s[__i], __a))
     return __s + __i;
 return 0;
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;




 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 for (size_t __i = 0; __i < __n; ++__i)
   assign(__s[__i], __a);
 return __s;
      }

      static constexpr char_type
      to_char_type(const int_type& __c) noexcept
      { return char_type(__c); }

      static constexpr int_type
      to_int_type(const char_type& __c) noexcept
      { return int_type(__c); }

      static constexpr bool
      eq_int_type(const int_type& __c1, const int_type& __c2) noexcept
      { return __c1 == __c2; }


      static constexpr int_type
      eof() noexcept
      { return static_cast<int_type>(-1); }

      static constexpr int_type
      not_eof(const int_type& __c) noexcept
      { return eq_int_type(__c, eof()) ? 0 : __c; }

    };
# 1022 "/usr/include/c++/13/bits/char_traits.h" 3
#pragma GCC diagnostic pop


}
# 43 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/allocator.h" 1 3
# 46 "/usr/include/c++/13/bits/allocator.h" 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++allocator.h" 1 3
# 33 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++allocator.h" 3
# 1 "/usr/include/c++/13/bits/new_allocator.h" 1 3
# 34 "/usr/include/c++/13/bits/new_allocator.h" 3
# 1 "/usr/include/c++/13/new" 1 3
# 38 "/usr/include/c++/13/new" 3
       
# 39 "/usr/include/c++/13/new" 3


# 1 "/usr/include/c++/13/bits/exception.h" 1 3
# 34 "/usr/include/c++/13/bits/exception.h" 3
       
# 35 "/usr/include/c++/13/bits/exception.h" 3



extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{
# 59 "/usr/include/c++/13/bits/exception.h" 3
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;

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




    virtual const char*
    what() const noexcept;
  };



}

}
# 42 "/usr/include/c++/13/new" 2 3

#pragma GCC visibility push(default)

extern "C++" {

namespace std
{






  class bad_alloc : public exception
  {
  public:
    bad_alloc() throw() { }


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




    virtual ~bad_alloc() throw();


    virtual const char* what() const throw();
  };


  class bad_array_new_length : public bad_alloc
  {
  public:
    bad_array_new_length() throw() { }



    virtual ~bad_array_new_length() throw();


    virtual const char* what() const throw();
  };



  enum class align_val_t: size_t {};


  struct nothrow_t
  {

    explicit nothrow_t() = default;

  };

  extern const nothrow_t nothrow;



  typedef void (*new_handler)();



  new_handler set_new_handler(new_handler) throw();



  new_handler get_new_handler() noexcept;

}
# 126 "/usr/include/c++/13/new" 3
[[__nodiscard__]] void* operator new(std::size_t)
  __attribute__((__externally_visible__));
[[__nodiscard__]] void* operator new[](std::size_t)
  __attribute__((__externally_visible__));
void operator delete(void*) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*) noexcept
  __attribute__((__externally_visible__));

void operator delete(void*, std::size_t) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, std::size_t) noexcept
  __attribute__((__externally_visible__));

[[__nodiscard__]] void* operator new(std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
[[__nodiscard__]] void* operator new[](std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
void operator delete(void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));

[[__nodiscard__]] void* operator new(std::size_t, std::align_val_t)
  __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
[[__nodiscard__]] void* operator new(std::size_t, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
void operator delete(void*, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete(void*, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__));
[[__nodiscard__]] void* operator new[](std::size_t, std::align_val_t)
  __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
[[__nodiscard__]] void* operator new[](std::size_t, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__, __alloc_size__ (1), __malloc__));
void operator delete[](void*, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete[](void*, std::align_val_t, const std::nothrow_t&)
  noexcept __attribute__((__externally_visible__));

void operator delete(void*, std::size_t, std::align_val_t)
  noexcept __attribute__((__externally_visible__));
void operator delete[](void*, std::size_t, std::align_val_t)
  noexcept __attribute__((__externally_visible__));




[[__nodiscard__]] inline void* operator new(std::size_t, void* __p) noexcept
{ return __p; }
[[__nodiscard__]] inline void* operator new[](std::size_t, void* __p) noexcept
{ return __p; }


inline void operator delete (void*, void*) noexcept { }
inline void operator delete[](void*, void*) noexcept { }

}


namespace std
{



  template<typename _Tp>
    [[nodiscard]] constexpr _Tp*
    launder(_Tp* __p) noexcept
    { return __builtin_launder(__p); }




  template<typename _Ret, typename... _Args , bool _NE>
    void launder(_Ret (*)(_Args...) noexcept (_NE)) = delete;
  template<typename _Ret, typename... _Args , bool _NE>
    void launder(_Ret (*)(_Args......) noexcept (_NE)) = delete;

  void launder(void*) = delete;
  void launder(const void*) = delete;
  void launder(volatile void*) = delete;
  void launder(const volatile void*) = delete;




  inline constexpr size_t hardware_destructive_interference_size = 256;
  inline constexpr size_t hardware_constructive_interference_size = 64;

}
# 236 "/usr/include/c++/13/new" 3
#pragma GCC visibility pop
# 35 "/usr/include/c++/13/bits/new_allocator.h" 2 3
# 1 "/usr/include/c++/13/bits/functexcept.h" 1 3
# 40 "/usr/include/c++/13/bits/functexcept.h" 3
# 1 "/usr/include/c++/13/bits/exception_defines.h" 1 3
# 41 "/usr/include/c++/13/bits/functexcept.h" 2 3

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




  void
  __throw_bad_exception(void) __attribute__((__noreturn__));


  void
  __throw_bad_alloc(void) __attribute__((__noreturn__));

  void
  __throw_bad_array_new_length(void) __attribute__((__noreturn__));


  void
  __throw_bad_cast(void) __attribute__((__noreturn__));

  void
  __throw_bad_typeid(void) __attribute__((__noreturn__));


  void
  __throw_logic_error(const char*) __attribute__((__noreturn__));

  void
  __throw_domain_error(const char*) __attribute__((__noreturn__));

  void
  __throw_invalid_argument(const char*) __attribute__((__noreturn__));

  void
  __throw_length_error(const char*) __attribute__((__noreturn__));

  void
  __throw_out_of_range(const char*) __attribute__((__noreturn__));

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

  void
  __throw_runtime_error(const char*) __attribute__((__noreturn__));

  void
  __throw_range_error(const char*) __attribute__((__noreturn__));

  void
  __throw_overflow_error(const char*) __attribute__((__noreturn__));

  void
  __throw_underflow_error(const char*) __attribute__((__noreturn__));


  void
  __throw_ios_failure(const char*) __attribute__((__noreturn__));

  void
  __throw_ios_failure(const char*, int) __attribute__((__noreturn__));


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


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


  void
  __throw_bad_function_call() __attribute__((__noreturn__));
# 140 "/usr/include/c++/13/bits/functexcept.h" 3

}
# 36 "/usr/include/c++/13/bits/new_allocator.h" 2 3
# 1 "/usr/include/c++/13/bits/move.h" 1 3
# 40 "/usr/include/c++/13/bits/move.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _Tp>
    inline constexpr _Tp*
    __addressof(_Tp& __r) noexcept
    { return __builtin_addressof(__r); }
# 67 "/usr/include/c++/13/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }







  template<typename _Tp>
    [[__nodiscard__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value,
   "std::forward must not be used to convert an rvalue to an lvalue");
      return static_cast<_Tp&&>(__t);
    }






  template<typename _Tp>
    [[__nodiscard__]]
    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 { };
# 114 "/usr/include/c++/13/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr
    __conditional_t<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 135 "/usr/include/c++/13/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    inline constexpr _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



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


  template <typename _Tp, typename _Up = _Tp>
   
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 179 "/usr/include/c++/13/bits/move.h" 3
  template<typename _Tp>
   
    inline

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



    swap(_Tp& __a, _Tp& __b)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>, is_nothrow_move_assignable<_Tp>>::value)

    {




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




  template<typename _Tp, size_t _Nm>
   
    inline

    typename enable_if<__is_swappable<_Tp>::value>::type



    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value)
    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }



}
# 37 "/usr/include/c++/13/bits/new_allocator.h" 2 3




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

# 62 "/usr/include/c++/13/bits/new_allocator.h" 3
  template<typename _Tp>
    class __new_allocator
    {
    public:
      typedef _Tp value_type;
      typedef std::size_t size_type;
      typedef std::ptrdiff_t difference_type;

      typedef _Tp* pointer;
      typedef const _Tp* const_pointer;
      typedef _Tp& reference;
      typedef const _Tp& const_reference;

      template<typename _Tp1>
 struct rebind
 { typedef __new_allocator<_Tp1> other; };





      typedef std::true_type propagate_on_container_move_assignment;


      __attribute__((__always_inline__))
     
      __new_allocator() noexcept { }

      __attribute__((__always_inline__))
     
      __new_allocator(const __new_allocator&) noexcept { }

      template<typename _Tp1>
 __attribute__((__always_inline__))

 __new_allocator(const __new_allocator<_Tp1>&) noexcept { }


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



      ~__new_allocator() noexcept { }

      pointer
      address(reference __x) const noexcept
      { return std::__addressof(__x); }

      const_pointer
      address(const_reference __x) const noexcept
      { return std::__addressof(__x); }
# 125 "/usr/include/c++/13/bits/new_allocator.h" 3
      [[__nodiscard__]] _Tp*
      allocate(size_type __n, const void* = static_cast<const void*>(0))
      {



 static_assert(sizeof(_Tp) != 0, "cannot allocate incomplete types");


 if (__builtin_expect(__n > this->_M_max_size(), false))
   {


     if (__n > (std::size_t(-1) / sizeof(_Tp)))
       std::__throw_bad_array_new_length();
     std::__throw_bad_alloc();
   }


 if (alignof(_Tp) > 16)
   {
     std::align_val_t __al = std::align_val_t(alignof(_Tp));
     return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp),
          __al));
   }

 return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
      }


      void
      deallocate(_Tp* __p, size_type __n __attribute__ ((__unused__)))
      {







 if (alignof(_Tp) > 16)
   {
     ::operator delete((__p), (__n) * sizeof(_Tp),
         std::align_val_t(alignof(_Tp)));
     return;
   }

 ::operator delete((__p), (__n) * sizeof(_Tp));
      }






      __attribute__((__always_inline__))
      size_type
      max_size() const noexcept
      { return _M_max_size(); }


      template<typename _Up, typename... _Args>
 __attribute__((__always_inline__))
 void
 construct(_Up* __p, _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Up, _Args...>::value)
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }

      template<typename _Up>
 __attribute__((__always_inline__))
 void
 destroy(_Up* __p)
 noexcept(std::is_nothrow_destructible<_Up>::value)
 { __p->~_Up(); }
# 213 "/usr/include/c++/13/bits/new_allocator.h" 3
      template<typename _Up>
 friend __attribute__((__always_inline__)) bool
 operator==(const __new_allocator&, const __new_allocator<_Up>&)
 noexcept
 { return true; }


      template<typename _Up>
 friend __attribute__((__always_inline__)) bool
 operator!=(const __new_allocator&, const __new_allocator<_Up>&)
 noexcept
 { return false; }


    private:
      __attribute__((__always_inline__))
      constexpr size_type
      _M_max_size() const noexcept
      {

 return std::size_t(0x7fffffffffffffffL) / sizeof(_Tp);



      }
    };


}
# 34 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++allocator.h" 2 3


namespace std
{
# 46 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++allocator.h" 3
  template<typename _Tp>
    using __allocator_base = __new_allocator<_Tp>;
}
# 47 "/usr/include/c++/13/bits/allocator.h" 2 3







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

# 74 "/usr/include/c++/13/bits/allocator.h" 3
  template<>
    class allocator<void>
    {
    public:
      typedef void value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;



      typedef void* pointer;
      typedef const void* const_pointer;

      template<typename _Tp1>
 struct rebind
 { typedef allocator<_Tp1> other; };





      using propagate_on_container_move_assignment = true_type;

      using is_always_equal

 = true_type;
# 117 "/usr/include/c++/13/bits/allocator.h" 3
    };
# 129 "/usr/include/c++/13/bits/allocator.h" 3
  template<typename _Tp>
    class allocator : public __allocator_base<_Tp>
    {
    public:
      typedef _Tp value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;



      typedef _Tp* pointer;
      typedef const _Tp* const_pointer;
      typedef _Tp& reference;
      typedef const _Tp& const_reference;

      template<typename _Tp1>
 struct rebind
 { typedef allocator<_Tp1> other; };





      using propagate_on_container_move_assignment = true_type;

      using is_always_equal

 = true_type;




      __attribute__((__always_inline__))
     
      allocator() noexcept { }

      __attribute__((__always_inline__))
     
      allocator(const allocator& __a) noexcept
      : __allocator_base<_Tp>(__a) { }



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


      template<typename _Tp1>
 __attribute__((__always_inline__))

 allocator(const allocator<_Tp1>&) noexcept { }

      __attribute__((__always_inline__))



      ~allocator() noexcept { }
# 214 "/usr/include/c++/13/bits/allocator.h" 3
      friend __attribute__((__always_inline__))
      bool
      operator==(const allocator&, const allocator&) noexcept
      { return true; }


      friend __attribute__((__always_inline__))
      bool
      operator!=(const allocator&, const allocator&) noexcept
      { return false; }



    };






  template<typename _T1, typename _T2>
    __attribute__((__always_inline__))
    inline bool
    operator==(const allocator<_T1>&, const allocator<_T2>&)
    noexcept
    { return true; }


  template<typename _T1, typename _T2>
    __attribute__((__always_inline__))
    inline bool
    operator!=(const allocator<_T1>&, const allocator<_T2>&)
    noexcept
    { return false; }






  template<typename _Tp>
    class allocator<const _Tp>
    {
    public:
      typedef _Tp value_type;
      allocator() { }
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };

  template<typename _Tp>
    class allocator<volatile _Tp>
    {
    public:
      typedef _Tp value_type;
      allocator() { }
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };

  template<typename _Tp>
    class allocator<const volatile _Tp>
    {
    public:
      typedef _Tp value_type;
      allocator() { }
      template<typename _Up> allocator(const allocator<_Up>&) { }
    };







  extern template class allocator<char>;
  extern template class allocator<wchar_t>;






}
# 44 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/cpp_type_traits.h" 1 3
# 35 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
       
# 36 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
# 67 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
extern "C++" {

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


  struct __true_type { };
  struct __false_type { };

  template<bool>
    struct __truth_type
    { typedef __false_type __type; };

  template<>
    struct __truth_type<true>
    { typedef __true_type __type; };



  template<class _Sp, class _Tp>
    struct __traitor
    {
      enum { __value = bool(_Sp::__value) || bool(_Tp::__value) };
      typedef typename __truth_type<__value>::__type __type;
    };


  template<typename, typename>
    struct __are_same
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<typename _Tp>
    struct __are_same<_Tp, _Tp>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


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

  template<>
    struct __is_void<void>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




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





  template<>
    struct __is_integer<bool>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 184 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char32_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 272 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
__extension__ template<> struct __is_integer<__int128> { enum { __value = 1 }; typedef __true_type __type; }; __extension__ template<> struct __is_integer<unsigned __int128> { enum { __value = 1 }; typedef __true_type __type; };
# 289 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_floating
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };


  template<>
    struct __is_floating<float>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<long double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 366 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_pointer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<typename _Tp>
    struct __is_pointer<_Tp*>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




  template<typename _Tp>
    struct __is_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
    { };




  template<typename _Tp>
    struct __is_scalar
    : public __traitor<__is_arithmetic<_Tp>, __is_pointer<_Tp> >
    { };




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

  template<>
    struct __is_char<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_char<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


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

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

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

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


  enum class byte : unsigned char;

  template<>
    struct __is_byte<byte>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 470 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
  template<typename> struct iterator_traits;


  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable
    {
      enum { __value = __is_trivially_copyable(_Tp) };
    };




  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable<volatile _Tp>
    {
      enum { __value = 0 };
    };


  template<typename _OutputIter, typename _InputIter>
    struct __memcpyable
    {
      enum { __value = 0 };
    };

  template<typename _Tp>
    struct __memcpyable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcpyable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };






  template<typename _Iter1, typename _Iter2>
    struct __memcmpable
    {
      enum { __value = 0 };
    };


  template<typename _Tp>
    struct __memcmpable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<const _Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };







  template<typename _Tp, bool _TreatAsBytes =



 __is_byte<_Tp>::__value

    >
    struct __is_memcmp_ordered
    {
      static const bool __value = _Tp(-1) > _Tp(1);
    };

  template<typename _Tp>
    struct __is_memcmp_ordered<_Tp, false>
    {
      static const bool __value = false;
    };


  template<typename _Tp, typename _Up, bool = sizeof(_Tp) == sizeof(_Up)>
    struct __is_memcmp_ordered_with
    {
      static const bool __value = __is_memcmp_ordered<_Tp>::__value
 && __is_memcmp_ordered<_Up>::__value;
    };

  template<typename _Tp, typename _Up>
    struct __is_memcmp_ordered_with<_Tp, _Up, false>
    {
      static const bool __value = false;
    };
# 579 "/usr/include/c++/13/bits/cpp_type_traits.h" 3
  template<>
    struct __is_memcmp_ordered_with<std::byte, std::byte, true>
    { static constexpr bool __value = true; };

  template<typename _Tp, bool _SameSize>
    struct __is_memcmp_ordered_with<_Tp, std::byte, _SameSize>
    { static constexpr bool __value = false; };

  template<typename _Up, bool _SameSize>
    struct __is_memcmp_ordered_with<std::byte, _Up, _SameSize>
    { static constexpr bool __value = false; };





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



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


}
}
# 45 "/usr/include/c++/13/string" 2 3

# 1 "/usr/include/c++/13/bits/ostream_insert.h" 1 3
# 33 "/usr/include/c++/13/bits/ostream_insert.h" 3
       
# 34 "/usr/include/c++/13/bits/ostream_insert.h" 3


# 1 "/usr/include/c++/13/bits/cxxabi_forced.h" 1 3
# 34 "/usr/include/c++/13/bits/cxxabi_forced.h" 3
       
# 35 "/usr/include/c++/13/bits/cxxabi_forced.h" 3

#pragma GCC visibility push(default)


namespace __cxxabiv1
{







  class __forced_unwind
  {
    virtual ~__forced_unwind() throw();


    virtual void __pure_dummy() = 0;
  };
}


#pragma GCC visibility pop
# 37 "/usr/include/c++/13/bits/ostream_insert.h" 2 3


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




  template<typename _CharT, typename _Traits>
    inline void
    __ostream_write(basic_ostream<_CharT, _Traits>& __out,
      const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const streamsize __put = __out.rdbuf()->sputn(__s, __n);
      if (__put != __n)
 __out.setstate(__ios_base::badbit);
    }

  template<typename _CharT, typename _Traits>
    inline void
    __ostream_fill(basic_ostream<_CharT, _Traits>& __out, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const _CharT __c = __out.fill();
      for (; __n > 0; --__n)
 {
   const typename _Traits::int_type __put = __out.rdbuf()->sputc(__c);
   if (_Traits::eq_int_type(__put, _Traits::eof()))
     {
       __out.setstate(__ios_base::badbit);
       break;
     }
 }
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    __ostream_insert(basic_ostream<_CharT, _Traits>& __out,
       const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      typename __ostream_type::sentry __cerb(__out);
      if (__cerb)
 {
   try
     {
       const streamsize __w = __out.width();
       if (__w > __n)
  {
    const bool __left = ((__out.flags()
     & __ios_base::adjustfield)
           == __ios_base::left);
    if (!__left)
      __ostream_fill(__out, __w - __n);
    if (__out.good())
      __ostream_write(__out, __s, __n);
    if (__left && __out.good())
      __ostream_fill(__out, __w - __n);
  }
       else
  __ostream_write(__out, __s, __n);
       __out.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __out._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     { __out._M_setstate(__ios_base::badbit); }
 }
      return __out;
    }




  extern template ostream& __ostream_insert(ostream&, const char*, streamsize);


  extern template wostream& __ostream_insert(wostream&, const wchar_t*,
          streamsize);






}
# 47 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 1 3
# 62 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 3
       
# 63 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 3

# 1 "/usr/include/c++/13/bits/concept_check.h" 1 3
# 33 "/usr/include/c++/13/bits/concept_check.h" 3
       
# 34 "/usr/include/c++/13/bits/concept_check.h" 3
# 65 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 2 3
# 1 "/usr/include/c++/13/debug/assertions.h" 1 3
# 66 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 2 3
# 1 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 1 3
# 62 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
       
# 63 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
# 74 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 93 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
  struct input_iterator_tag { };


  struct output_iterator_tag { };


  struct forward_iterator_tag : public input_iterator_tag { };



  struct bidirectional_iterator_tag : public forward_iterator_tag { };



  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
# 125 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
           typename _Pointer = _Tp*, typename _Reference = _Tp&>
    struct [[__deprecated__]] iterator
    {

      typedef _Category iterator_category;

      typedef _Tp value_type;

      typedef _Distance difference_type;

      typedef _Pointer pointer;

      typedef _Reference reference;
    };
# 149 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator>
    struct iterator_traits;




  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };



  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      typedef typename _Iterator::iterator_category iterator_category;
      typedef typename _Iterator::value_type value_type;
      typedef typename _Iterator::difference_type difference_type;
      typedef typename _Iterator::pointer pointer;
      typedef typename _Iterator::reference reference;
    };


  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 209 "/usr/include/c++/13/bits/stl_iterator_base_types.h" 3
  template<typename _Tp>
    struct iterator_traits<_Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef _Tp& reference;
    };


  template<typename _Tp>
    struct iterator_traits<const _Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef const _Tp* pointer;
      typedef const _Tp& reference;
    };






  template<typename _Iter>
    __attribute__((__always_inline__))
    inline constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }




  template<typename _Iter>
    using __iter_category_t
      = typename iterator_traits<_Iter>::iterator_category;

  template<typename _InIter>
    using _RequireInputIter =
      __enable_if_t<is_convertible<__iter_category_t<_InIter>,
       input_iterator_tag>::value>;

  template<typename _It,
    typename _Cat = __iter_category_t<_It>>
    struct __is_random_access_iter
      : is_base_of<random_access_iterator_tag, _Cat>
    {
      typedef is_base_of<random_access_iterator_tag, _Cat> _Base;
      enum { __value = _Base::value };
    };








}
# 67 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 2 3

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




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


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

     

      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      while (__first != __last)
 {
   ++__first;
   ++__n;
 }
      return __n;
    }

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

     

      return __last - __first;
    }



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

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




  template<typename _OutputIterator>
    void
    __distance(_OutputIterator, _OutputIterator, output_iterator_tag) = delete;
# 144 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    [[__nodiscard__]] __attribute__((__always_inline__))
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {

      return std::__distance(__first, __last,
        std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

     
      do { if (std::__is_constant_evaluated() && !bool(__n >= 0)) __builtin_unreachable(); } while (false);
      while (__n--)
 ++__i;
    }

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

     

      if (__n > 0)
        while (__n--)
   ++__i;
      else
        while (__n++)
   --__i;
    }

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

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }



  template<typename _OutputIterator, typename _Distance>
    void
    __advance(_OutputIterator&, _Distance, output_iterator_tag) = delete;
# 217 "/usr/include/c++/13/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    __attribute__((__always_inline__))
    inline constexpr void
    advance(_InputIterator& __i, _Distance __n)
    {

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



  template<typename _InputIterator>
    [[__nodiscard__]] [[__gnu__::__always_inline__]]
    inline constexpr _InputIterator
    next(_InputIterator __x, typename
  iterator_traits<_InputIterator>::difference_type __n = 1)
    {

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

  template<typename _BidirectionalIterator>
    [[__nodiscard__]] [[__gnu__::__always_inline__]]
    inline constexpr _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {

     

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




}
# 48 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/stl_iterator.h" 1 3
# 65 "/usr/include/c++/13/bits/stl_iterator.h" 3
# 1 "/usr/include/c++/13/ext/type_traits.h" 1 3
# 32 "/usr/include/c++/13/ext/type_traits.h" 3
       
# 33 "/usr/include/c++/13/ext/type_traits.h" 3




extern "C++" {

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



  template<bool, typename>
    struct __enable_if
    { };

  template<typename _Tp>
    struct __enable_if<true, _Tp>
    { typedef _Tp __type; };



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct __conditional_type
    { typedef _Iftrue __type; };

  template<typename _Iftrue, typename _Iffalse>
    struct __conditional_type<false, _Iftrue, _Iffalse>
    { typedef _Iffalse __type; };



  template<typename _Tp>
    struct __add_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __add_unsigned<char>
    { typedef unsigned char __type; };

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

  template<>
    struct __add_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __add_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __add_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __add_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __add_unsigned<bool>;

  template<>
    struct __add_unsigned<wchar_t>;



  template<typename _Tp>
    struct __remove_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

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

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

  template<>
    struct __remove_unsigned<unsigned short>
    { typedef short __type; };

  template<>
    struct __remove_unsigned<unsigned int>
    { typedef int __type; };

  template<>
    struct __remove_unsigned<unsigned long>
    { typedef long __type; };

  template<>
    struct __remove_unsigned<unsigned long long>
    { typedef long long __type; };


  template<>
    struct __remove_unsigned<bool>;

  template<>
    struct __remove_unsigned<wchar_t>;



  template<typename _Type>
    constexpr
    inline bool
    __is_null_pointer(_Type* __ptr)
    { return __ptr == 0; }

  template<typename _Type>
    constexpr
    inline bool
    __is_null_pointer(_Type)
    { return false; }


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




  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };




  template<typename _Tp>
    struct __promote<_Tp, false>
    { };

  template<>
    struct __promote<long double>
    { typedef long double __type; };

  template<>
    struct __promote<double>
    { typedef double __type; };

  template<>
    struct __promote<float>
    { typedef float __type; };
# 225 "/usr/include/c++/13/ext/type_traits.h" 3
  template<typename... _Tp>
    using __promoted_t = decltype((typename __promote<_Tp>::__type(0) + ...));



  template<typename _Tp, typename _Up>
    using __promote_2 = __promote<__promoted_t<_Tp, _Up>>;

  template<typename _Tp, typename _Up, typename _Vp>
    using __promote_3 = __promote<__promoted_t<_Tp, _Up, _Vp>>;

  template<typename _Tp, typename _Up, typename _Vp, typename _Wp>
    using __promote_4 = __promote<__promoted_t<_Tp, _Up, _Vp, _Wp>>;
# 269 "/usr/include/c++/13/ext/type_traits.h" 3

}
}
# 66 "/usr/include/c++/13/bits/stl_iterator.h" 2 3

# 1 "/usr/include/c++/13/bits/ptr_traits.h" 1 3
# 49 "/usr/include/c++/13/bits/ptr_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  class __undefined;



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

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



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

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


  template<typename _Ptr, typename = void>
    struct __ptr_traits_elem : __get_first_arg<_Ptr>
    { };







  template<typename _Ptr>
    struct __ptr_traits_elem<_Ptr, __void_t<typename _Ptr::element_type>>
    { using type = typename _Ptr::element_type; };


  template<typename _Ptr>
    using __ptr_traits_elem_t = typename __ptr_traits_elem<_Ptr>::type;




  template<typename _Ptr, typename _Elt, bool = is_void<_Elt>::value>
    struct __ptr_traits_ptr_to
    {
      using pointer = _Ptr;
      using element_type = _Elt;







      static pointer
      pointer_to(element_type& __r)





      { return pointer::pointer_to(__r); }
    };


  template<typename _Ptr, typename _Elt>
    struct __ptr_traits_ptr_to<_Ptr, _Elt, true>
    { };


  template<typename _Tp>
    struct __ptr_traits_ptr_to<_Tp*, _Tp, false>
    {
      using pointer = _Tp*;
      using element_type = _Tp;






      static pointer
      pointer_to(element_type& __r) noexcept
      { return std::addressof(__r); }
    };

  template<typename _Ptr, typename _Elt>
    struct __ptr_traits_impl : __ptr_traits_ptr_to<_Ptr, _Elt>
    {
    private:
      template<typename _Tp>
 using __diff_t = typename _Tp::difference_type;

      template<typename _Tp, typename _Up>
 using __rebind = __type_identity<typename _Tp::template rebind<_Up>>;

    public:

      using pointer = _Ptr;


      using element_type = _Elt;


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


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



  template<typename _Ptr>
    struct __ptr_traits_impl<_Ptr, __undefined>
    { };







  template<typename _Ptr>
    struct pointer_traits : __ptr_traits_impl<_Ptr, __ptr_traits_elem_t<_Ptr>>
    { };







  template<typename _Tp>
    struct pointer_traits<_Tp*> : __ptr_traits_ptr_to<_Tp*, _Tp>
    {

      typedef _Tp* pointer;

      typedef _Tp element_type;

      typedef ptrdiff_t difference_type;

      template<typename _Up> using rebind = _Up*;
    };


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

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


  template<typename _Ptr>
    constexpr typename std::pointer_traits<_Ptr>::element_type*
    __to_address(const _Ptr& __ptr)
    { return std::__to_address(__ptr.operator->()); }
# 266 "/usr/include/c++/13/bits/ptr_traits.h" 3

}
# 68 "/usr/include/c++/13/bits/stl_iterator.h" 2 3
# 88 "/usr/include/c++/13/bits/stl_iterator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 113 "/usr/include/c++/13/bits/stl_iterator.h" 3
 
# 113 "/usr/include/c++/13/bits/stl_iterator.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 135 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
      template<typename _Iter>
 friend class reverse_iterator;
# 154 "/usr/include/c++/13/bits/stl_iterator.h" 3
    protected:
      _Iterator current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::pointer pointer;

      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
# 185 "/usr/include/c++/13/bits/stl_iterator.h" 3
      constexpr
      reverse_iterator()
      noexcept(noexcept(_Iterator()))
      : current()
      { }




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




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


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






      template<typename _Iter>



 constexpr
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 noexcept(noexcept(_Iterator(__x.current)))
 : current(__x.current)
 { }


      template<typename _Iter>




 constexpr
 reverse_iterator&
 operator=(const reverse_iterator<_Iter>& __x)
 noexcept(noexcept(current = __x.current))
 {
   current = __x.current;
   return *this;
 }





      [[__nodiscard__]]
      constexpr iterator_type
      base() const
      noexcept(noexcept(_Iterator(current)))
      { return current; }
# 262 "/usr/include/c++/13/bits/stl_iterator.h" 3
      [[__nodiscard__]]
      constexpr reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      [[__nodiscard__]]
      constexpr pointer
      operator->() const




      {


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






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






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






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






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






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







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






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







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






      [[__nodiscard__]]
      constexpr reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
# 422 "/usr/include/c++/13/bits/stl_iterator.h" 3
    private:
      template<typename _Tp>
 static constexpr _Tp*
 _S_to_pointer(_Tp* __p)
        { return __p; }

      template<typename _Tp>
 static constexpr pointer
 _S_to_pointer(_Tp __t)
        { return __t.operator->(); }
    };
# 445 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

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

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

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

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

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




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

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

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

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

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

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() <= __y.base(); }
# 622 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Iterator>
    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
       const reverse_iterator<_Iterator>& __x)
    { return reverse_iterator<_Iterator>(__x.base() - __n); }



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







  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }
# 666 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

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

  template<typename _Iterator>
   
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 697 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    class back_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;





      explicit
      back_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 735 "/usr/include/c++/13/bits/stl_iterator.h" 3
     
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }

     
      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }



      [[__nodiscard__]]
      back_insert_iterator&
      operator*()
      { return *this; }


     
      back_insert_iterator&
      operator++()
      { return *this; }


     
      back_insert_iterator
      operator++(int)
      { return *this; }
    };
# 782 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 798 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    class front_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;





      explicit
      front_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 836 "/usr/include/c++/13/bits/stl_iterator.h" 3
     
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }

     
      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }



      [[__nodiscard__]]
      front_insert_iterator&
      operator*()
      { return *this; }


     
      front_insert_iterator&
      operator++()
      { return *this; }


     
      front_insert_iterator
      operator++(int)
      { return *this; }
    };
# 883 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 903 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {



      typedef typename _Container::iterator _Iter;

    protected:
      _Container* container;
      _Iter iter;

    public:

      typedef _Container container_type;
# 928 "/usr/include/c++/13/bits/stl_iterator.h" 3
     
      insert_iterator(_Container& __x, _Iter __i)
      : container(std::__addressof(__x)), iter(__i) {}
# 964 "/usr/include/c++/13/bits/stl_iterator.h" 3
     
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }

     
      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }



      [[__nodiscard__]]
      insert_iterator&
      operator*()
      { return *this; }


     
      insert_iterator&
      operator++()
      { return *this; }


     
      insert_iterator&
      operator++(int)
      { return *this; }
    };

#pragma GCC diagnostic pop
# 1023 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline insert_iterator<_Container>
    inserter(_Container& __x, typename _Container::iterator __i)
    { return insert_iterator<_Container>(__x, __i); }





}

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

# 1046 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef std::iterator_traits<_Iterator> __traits_type;


      template<typename _Iter>
 using __convertible_from
   = std::__enable_if_t<std::is_convertible<_Iter, _Iterator>::value>;


    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;





      constexpr __normal_iterator() noexcept
      : _M_current(_Iterator()) { }

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



      template<typename _Iter, typename = __convertible_from<_Iter>>

 __normal_iterator(const __normal_iterator<_Iter, _Container>& __i)
 noexcept
# 1094 "/usr/include/c++/13/bits/stl_iterator.h" 3
        : _M_current(__i.base()) { }


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

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

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

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


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

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


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

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

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

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

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

     
      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 1214 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }


  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline bool
    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }






  template<typename _IteratorL, typename _IteratorR, typename _Container>


    [[__nodiscard__]]
    inline auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs) noexcept
    -> decltype(__lhs.base() - __rhs.base())





    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline typename __normal_iterator<_Iterator, _Container>::difference_type
    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]]
    inline __normal_iterator<_Iterator, _Container>
    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
       __n, const __normal_iterator<_Iterator, _Container>& __i)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

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


  template<typename _Iterator, typename _Container>
   
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it.base(); }






  template<typename _Iterator, typename _Container>
    constexpr auto
    __to_address(const __gnu_cxx::__normal_iterator<_Iterator,
          _Container>& __it) noexcept
    -> decltype(std::__to_address(__it.base()))
    { return std::__to_address(__it.base()); }
# 1421 "/usr/include/c++/13/bits/stl_iterator.h" 3
  namespace __detail
  {
# 1437 "/usr/include/c++/13/bits/stl_iterator.h" 3
  }
# 1448 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator



    {
      _Iterator _M_current;

      using __traits_type = iterator_traits<_Iterator>;

      using __base_ref = typename __traits_type::reference;


      template<typename _Iter2>
 friend class move_iterator;
# 1487 "/usr/include/c++/13/bits/stl_iterator.h" 3
    public:
      using iterator_type = _Iterator;
# 1501 "/usr/include/c++/13/bits/stl_iterator.h" 3
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


      using reference
 = __conditional_t<is_reference<__base_ref>::value,
     typename remove_reference<__base_ref>::type&&,
     __base_ref>;


      constexpr
      move_iterator()
      : _M_current() { }

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

      template<typename _Iter>



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

      template<typename _Iter>




 constexpr
 move_iterator& operator=(const move_iterator<_Iter>& __i)
 {
   _M_current = __i._M_current;
   return *this;
 }


      [[__nodiscard__]]
      constexpr iterator_type
      base() const
      { return _M_current; }
# 1559 "/usr/include/c++/13/bits/stl_iterator.h" 3
      [[__nodiscard__]]
      constexpr reference
      operator*() const



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


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

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

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







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

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

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

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

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

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

      [[__nodiscard__]]
      constexpr reference
      operator[](difference_type __n) const



      { return std::move(_M_current[__n]); }
# 1673 "/usr/include/c++/13/bits/stl_iterator.h" 3
    };

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return __x.base() == __y.base(); }
# 1694 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }


  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__x < __y); }




  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }
# 1760 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

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

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

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

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



  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }

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

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(std::move(__i)); }

  template<typename _Iterator, typename _ReturnType
    = __conditional_t<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
  _Iterator, move_iterator<_Iterator>>>
    inline constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



  template<typename _Tp, typename _ReturnType
    = __conditional_t<__move_if_noexcept_cond<_Tp>::value,
        const _Tp*, move_iterator<_Tp*>>>
    inline constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }
# 2951 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

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

  template<typename _Iterator>
   
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }
# 2983 "/usr/include/c++/13/bits/stl_iterator.h" 3
  template<typename _InputIterator>
    using __iter_key_t = remove_const_t<
      typename iterator_traits<_InputIterator>::value_type::first_type>;

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

  template<typename _T1, typename _T2>
    struct pair;

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



}
# 49 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/stl_function.h" 1 3
# 63 "/usr/include/c++/13/bits/stl_function.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 116 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Arg, typename _Result>
    struct unary_function
    {

      typedef _Arg argument_type;


      typedef _Result result_type;
    } __attribute__ ((__deprecated__));





  template<typename _Arg1, typename _Arg2, typename _Result>
    struct binary_function
    {

      typedef _Arg1 first_argument_type;


      typedef _Arg2 second_argument_type;


      typedef _Result result_type;
    } __attribute__ ((__deprecated__));
# 157 "/usr/include/c++/13/bits/stl_function.h" 3
  struct __is_transparent;

  template<typename _Tp = void>
    struct plus;

  template<typename _Tp = void>
    struct minus;

  template<typename _Tp = void>
    struct multiplies;

  template<typename _Tp = void>
    struct divides;

  template<typename _Tp = void>
    struct modulus;

  template<typename _Tp = void>
    struct negate;



#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {

      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };


  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };


  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };


  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };


  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };


  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };
#pragma GCC diagnostic pop





  template<>
    struct plus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) + std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct minus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) - std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct multiplies<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) * std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct divides<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) / std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct modulus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) % std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct negate<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(-std::forward<_Tp>(__t)))
 -> decltype(-std::forward<_Tp>(__t))
 { return -std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 349 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct equal_to;

  template<typename _Tp = void>
    struct not_equal_to;

  template<typename _Tp = void>
    struct greater;

  template<typename _Tp = void>
    struct less;

  template<typename _Tp = void>
    struct greater_equal;

  template<typename _Tp = void>
    struct less_equal;


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x == __y; }
    };


  template<typename _Tp>
    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };


  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };


  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };


  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };


  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };


  template<typename _Tp>
    struct greater<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {

 if (std::__is_constant_evaluated())
   return __x > __y;

 return (long unsigned int)__x > (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {

 if (std::__is_constant_evaluated())
   return __x < __y;

 return (long unsigned int)__x < (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct greater_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {

 if (std::__is_constant_evaluated())
   return __x >= __y;

 return (long unsigned int)__x >= (long unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {

 if (std::__is_constant_evaluated())
   return __x <= __y;

 return (long unsigned int)__x <= (long unsigned int)__y;
      }
    };
#pragma GCC diagnostic pop



  template<>
    struct equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) == std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct not_equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) != std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct greater<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) > std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) < std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct greater_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };
# 781 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Tp = void>
    struct logical_and;

  template<typename _Tp = void>
    struct logical_or;

  template<typename _Tp = void>
    struct logical_not;


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };


  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };


  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };
#pragma GCC diagnostic pop



  template<>
    struct logical_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) && std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) || std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) || std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) || std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(!std::forward<_Tp>(__t)))
 -> decltype(!std::forward<_Tp>(__t))
 { return !std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };




  template<typename _Tp = void>
    struct bit_and;

  template<typename _Tp = void>
    struct bit_or;

  template<typename _Tp = void>
    struct bit_xor;

  template<typename _Tp = void>
    struct bit_not;


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"



  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };

  template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };

  template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };

  template<typename _Tp>
    struct bit_not : public unary_function<_Tp, _Tp>
    {
    constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return ~__x; }
    };
#pragma GCC diagnostic pop


  template <>
    struct bit_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) & std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) | std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) | std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) | std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_xor<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(~std::forward<_Tp>(__t)))
 -> decltype(~std::forward<_Tp>(__t))
 { return ~std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 1023 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Predicate>
    class [[__deprecated__]] unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };


  template<typename _Predicate>
    __attribute__ ((__deprecated__ ("use '" "std::not_fn" "' instead")))
    constexpr
    inline unary_negate<_Predicate>
    not1(const _Predicate& __pred)
    { return unary_negate<_Predicate>(__pred); }


  template<typename _Predicate>
    class [[__deprecated__]] binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
        typename _Predicate::second_argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::first_argument_type& __x,
   const typename _Predicate::second_argument_type& __y) const
      { return !_M_pred(__x, __y); }
    };


  template<typename _Predicate>
    __attribute__ ((__deprecated__ ("use '" "std::not_fn" "' instead")))
    constexpr
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
# 1104 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Arg, typename _Result>
    class pointer_to_unary_function : public unary_function<_Arg, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg);

    public:
      pointer_to_unary_function() { }

      explicit
      pointer_to_unary_function(_Result (*__x)(_Arg))
      : _M_ptr(__x) { }

      _Result
      operator()(_Arg __x) const
      { return _M_ptr(__x); }
    } __attribute__ ((__deprecated__));


  template<typename _Arg, typename _Result>
    __attribute__ ((__deprecated__ ("use '" "std::function" "' instead")))
    inline pointer_to_unary_function<_Arg, _Result>
    ptr_fun(_Result (*__x)(_Arg))
    { return pointer_to_unary_function<_Arg, _Result>(__x); }


  template<typename _Arg1, typename _Arg2, typename _Result>
    class pointer_to_binary_function
    : public binary_function<_Arg1, _Arg2, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg1, _Arg2);

    public:
      pointer_to_binary_function() { }

      explicit
      pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2))
      : _M_ptr(__x) { }

      _Result
      operator()(_Arg1 __x, _Arg2 __y) const
      { return _M_ptr(__x, __y); }
    } __attribute__ ((__deprecated__));


  template<typename _Arg1, typename _Arg2, typename _Result>
    __attribute__ ((__deprecated__ ("use '" "std::function" "' instead")))
    inline pointer_to_binary_function<_Arg1, _Arg2, _Result>
    ptr_fun(_Result (*__x)(_Arg1, _Arg2))
    { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); }


  template<typename _Tp>
    struct _Identity
    : public unary_function<_Tp, _Tp>
    {
      _Tp&
      operator()(_Tp& __x) const
      { return __x; }

      const _Tp&
      operator()(const _Tp& __x) const
      { return __x; }
    };


  template<typename _Tp> struct _Identity<const _Tp> : _Identity<_Tp> { };

  template<typename _Pair>
    struct _Select1st
    : public unary_function<_Pair, typename _Pair::first_type>
    {
      typename _Pair::first_type&
      operator()(_Pair& __x) const
      { return __x.first; }

      const typename _Pair::first_type&
      operator()(const _Pair& __x) const
      { return __x.first; }


      template<typename _Pair2>
        typename _Pair2::first_type&
        operator()(_Pair2& __x) const
        { return __x.first; }

      template<typename _Pair2>
        const typename _Pair2::first_type&
        operator()(const _Pair2& __x) const
        { return __x.first; }

    };

  template<typename _Pair>
    struct _Select2nd
    : public unary_function<_Pair, typename _Pair::second_type>
    {
      typename _Pair::second_type&
      operator()(_Pair& __x) const
      { return __x.second; }

      const typename _Pair::second_type&
      operator()(const _Pair& __x) const
      { return __x.second; }
    };
# 1231 "/usr/include/c++/13/bits/stl_function.h" 3
  template<typename _Ret, typename _Tp>
    class mem_fun_t : public unary_function<_Tp*, _Ret>
    {
    public:
      explicit
      mem_fun_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp* __p) const
      { return (__p->*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)();
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp>
    class const_mem_fun_t : public unary_function<const _Tp*, _Ret>
    {
    public:
      explicit
      const_mem_fun_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp* __p) const
      { return (__p->*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)() const;
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp>
    class mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      mem_fun_ref_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp& __r) const
      { return (__r.*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)();
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp>
    class const_mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp& __r) const
      { return (__r.*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)() const;
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_t : public binary_function<_Tp*, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg);
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_t : public binary_function<const _Tp*, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg);
    } __attribute__ ((__deprecated__));


  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    } __attribute__ ((__deprecated__));



  template<typename _Ret, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)())
    { return mem_fun_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline const_mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)())
    { return mem_fun_ref_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline const_mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_ref_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline const_mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    __attribute__ ((__deprecated__ ("use '" "std::mem_fn" "' instead")))
    inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }
#pragma GCC diagnostic pop




  template<typename _Func, typename _SfinaeType, typename = __void_t<>>
    struct __has_is_transparent
    { };

  template<typename _Func, typename _SfinaeType>
    struct __has_is_transparent<_Func, _SfinaeType,
    __void_t<typename _Func::is_transparent>>
    { typedef void type; };

  template<typename _Func, typename _SfinaeType>
    using __has_is_transparent_t
      = typename __has_is_transparent<_Func, _SfinaeType>::type;



}


# 1 "/usr/include/c++/13/backward/binders.h" 1 3
# 60 "/usr/include/c++/13/backward/binders.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

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

# 107 "/usr/include/c++/13/backward/binders.h" 3
  template<typename _Operation>
    class binder1st
    : public unary_function<typename _Operation::second_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::first_argument_type value;

    public:
      binder1st(const _Operation& __x,
  const typename _Operation::first_argument_type& __y)
      : op(__x), value(__y) { }

      typename _Operation::result_type
      operator()(const typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }



      typename _Operation::result_type
      operator()(typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }
    } __attribute__ ((__deprecated__ ("use '" "std::bind" "' instead")));


  template<typename _Operation, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::bind" "' instead")))
    inline binder1st<_Operation>
    bind1st(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::first_argument_type _Arg1_type;
      return binder1st<_Operation>(__fn, _Arg1_type(__x));
    }


  template<typename _Operation>
    class binder2nd
    : public unary_function<typename _Operation::first_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::second_argument_type value;

    public:
      binder2nd(const _Operation& __x,
  const typename _Operation::second_argument_type& __y)
      : op(__x), value(__y) { }

      typename _Operation::result_type
      operator()(const typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }



      typename _Operation::result_type
      operator()(typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }
    } __attribute__ ((__deprecated__ ("use '" "std::bind" "' instead")));


  template<typename _Operation, typename _Tp>
    __attribute__ ((__deprecated__ ("use '" "std::bind" "' instead")))
    inline binder2nd<_Operation>
    bind2nd(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::second_argument_type _Arg2_type;
      return binder2nd<_Operation>(__fn, _Arg2_type(__x));
    }



}

#pragma GCC diagnostic pop
# 1439 "/usr/include/c++/13/bits/stl_function.h" 2 3
# 50 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/ext/numeric_traits.h" 1 3
# 32 "/usr/include/c++/13/ext/numeric_traits.h" 3
       
# 33 "/usr/include/c++/13/ext/numeric_traits.h" 3




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

# 50 "/usr/include/c++/13/ext/numeric_traits.h" 3
  template<typename _Tp>
    struct __is_integer_nonstrict
    : public std::__is_integer<_Tp>
    {
      using std::__is_integer<_Tp>::__value;


      enum { __width = __value ? sizeof(_Tp) * 8 : 0 };
    };

  template<typename _Value>
    struct __numeric_traits_integer
    {

      static_assert(__is_integer_nonstrict<_Value>::__value,
      "invalid specialization");




      static const bool __is_signed = (_Value)(-1) < 0;
      static const int __digits
 = __is_integer_nonstrict<_Value>::__width - __is_signed;


      static const _Value __max = __is_signed
 ? (((((_Value)1 << (__digits - 1)) - 1) << 1) + 1)
 : ~(_Value)0;
      static const _Value __min = __is_signed ? -__max - 1 : (_Value)0;
    };

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__min;

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__max;

  template<typename _Value>
    const bool __numeric_traits_integer<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
# 137 "/usr/include/c++/13/ext/numeric_traits.h" 3
  template<typename _Tp>
    using __int_traits = __numeric_traits_integer<_Tp>;
# 157 "/usr/include/c++/13/ext/numeric_traits.h" 3
  template<typename _Value>
    struct __numeric_traits_floating
    {

      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 113) * 643L / 2136);


      static const bool __is_signed = true;
      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 33);
      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
    };

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_digits10;

  template<typename _Value>
    const bool __numeric_traits_floating<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__digits10;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_exponent10;






  template<typename _Value>
    struct __numeric_traits
    : public __numeric_traits_integer<_Value>
    { };

  template<>
    struct __numeric_traits<float>
    : public __numeric_traits_floating<float>
    { };

  template<>
    struct __numeric_traits<double>
    : public __numeric_traits_floating<double>
    { };

  template<>
    struct __numeric_traits<long double>
    : public __numeric_traits_floating<long double>
    { };
# 238 "/usr/include/c++/13/ext/numeric_traits.h" 3

}
# 51 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/stl_algobase.h" 1 3
# 64 "/usr/include/c++/13/bits/stl_algobase.h" 3
# 1 "/usr/include/c++/13/bits/stl_pair.h" 1 3
# 62 "/usr/include/c++/13/bits/stl_pair.h" 3
# 1 "/usr/include/c++/13/bits/utility.h" 1 3
# 36 "/usr/include/c++/13/bits/utility.h" 3
       
# 37 "/usr/include/c++/13/bits/utility.h" 3






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



  template<typename _Tp>
    struct tuple_size;





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

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

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

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


  template<typename _Tp>
    inline constexpr size_t tuple_size_v = tuple_size<_Tp>::value;



  template<size_t __i, typename _Tp>
    struct tuple_element;


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

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, const _Tp>
    {
      using type = const __tuple_element_t<__i, _Tp>;
    };

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, volatile _Tp>
    {
      using type = volatile __tuple_element_t<__i, _Tp>;
    };

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, const volatile _Tp>
    {
      using type = const volatile __tuple_element_t<__i, _Tp>;
    };





  template<typename _Tp, typename... _Types>
    constexpr size_t
    __find_uniq_type_in_pack()
    {
      constexpr size_t __sz = sizeof...(_Types);
      constexpr bool __found[__sz] = { __is_same(_Tp, _Types) ... };
      size_t __n = __sz;
      for (size_t __i = 0; __i < __sz; ++__i)
 {
   if (__found[__i])
     {
       if (__n < __sz)
  return __sz;
       __n = __i;
     }
 }
      return __n;
    }
# 134 "/usr/include/c++/13/bits/utility.h" 3
  template<size_t __i, typename _Tp>
    using tuple_element_t = typename tuple_element<__i, _Tp>::type;




  template<size_t... _Indexes> struct _Index_tuple { };


  template<size_t _Num>
    struct _Build_index_tuple
    {
# 154 "/usr/include/c++/13/bits/utility.h" 3
      using __type = _Index_tuple<__integer_pack(_Num)...>;

    };






  template<typename _Tp, _Tp... _Idx>
    struct integer_sequence
    {



      typedef _Tp value_type;
      static constexpr size_t size() noexcept { return sizeof...(_Idx); }
    };


  template<typename _Tp, _Tp _Num>
    using make_integer_sequence



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



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


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


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



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

  inline constexpr in_place_t in_place{};

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

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

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

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

  template<typename>
    inline constexpr bool __is_in_place_type_v = false;

  template<typename _Tp>
    inline constexpr bool __is_in_place_type_v<in_place_type_t<_Tp>> = true;

  template<typename _Tp>
    using __is_in_place_type = bool_constant<__is_in_place_type_v<_Tp>>;




  template<size_t _Np, typename... _Types>
    struct _Nth_type
    { };

  template<typename _Tp0, typename... _Rest>
    struct _Nth_type<0, _Tp0, _Rest...>
    { using type = _Tp0; };

  template<typename _Tp0, typename _Tp1, typename... _Rest>
    struct _Nth_type<1, _Tp0, _Tp1, _Rest...>
    { using type = _Tp1; };

  template<typename _Tp0, typename _Tp1, typename _Tp2, typename... _Rest>
    struct _Nth_type<2, _Tp0, _Tp1, _Tp2, _Rest...>
    { using type = _Tp2; };

  template<size_t _Np, typename _Tp0, typename _Tp1, typename _Tp2,
    typename... _Rest>



    struct _Nth_type<_Np, _Tp0, _Tp1, _Tp2, _Rest...>
    : _Nth_type<_Np - 3, _Rest...>
    { };


  template<typename _Tp0, typename _Tp1, typename _Tp2, typename... _Rest>
    struct _Nth_type<0, _Tp0, _Tp1, _Tp2, _Rest...>
    { using type = _Tp0; };

  template<typename _Tp0, typename _Tp1, typename _Tp2, typename... _Rest>
    struct _Nth_type<1, _Tp0, _Tp1, _Tp2, _Rest...>
    { using type = _Tp1; };







}
# 63 "/usr/include/c++/13/bits/stl_pair.h" 2 3






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

# 80 "/usr/include/c++/13/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  inline constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();




  template<typename...>
    class tuple;

  template<size_t...>
    struct _Index_tuple;







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

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

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

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

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

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

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

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



  template<typename _U1, typename _U2> class __pair_base
  {

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

  };
# 186 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    : public __pair_base<_T1, _T2>
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;


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

      template<typename... _Args1, typename... _Args2>

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


      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
        __is_nothrow_swappable<_T2>>::value)
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }
# 234 "/usr/include/c++/13/bits/stl_pair.h" 3
    private:
      template<typename... _Args1, size_t... _Indexes1,
        typename... _Args2, size_t... _Indexes2>

 pair(tuple<_Args1...>&, tuple<_Args2...>&,
      _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);
    public:
# 525 "/usr/include/c++/13/bits/stl_pair.h" 3
      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>
      constexpr pair()
      : first(), second() { }

      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }



      using _PCCP = _PCC<true, _T1, _T2>;



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


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



      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;


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

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
    && !_PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second)
 { ; }
# 609 "/usr/include/c++/13/bits/stl_pair.h" 3
    private:



      struct __zero_as_null_pointer_constant
      {
 __zero_as_null_pointer_constant(int __zero_as_null_pointer_constant::*)
 { }
 template<typename _Tp,
   typename = __enable_if_t<is_null_pointer<_Tp>::value>>
 __zero_as_null_pointer_constant(_Tp) = delete;
      };

    public:




      template<typename _U1,
        __enable_if_t<__and_<__not_<is_reference<_U1>>,
        is_pointer<_T2>,
        is_constructible<_T1, _U1>,
        __not_<is_constructible<_T1, const _U1&>>,
        is_convertible<_U1, _T1>>::value,
        bool> = true>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 constexpr
 pair(_U1&& __x, __zero_as_null_pointer_constant, ...)
 : first(std::forward<_U1>(__x)), second(nullptr)
 { ; }

      template<typename _U1,
        __enable_if_t<__and_<__not_<is_reference<_U1>>,
        is_pointer<_T2>,
        is_constructible<_T1, _U1>,
        __not_<is_constructible<_T1, const _U1&>>,
        __not_<is_convertible<_U1, _T1>>>::value,
        bool> = false>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 explicit constexpr
 pair(_U1&& __x, __zero_as_null_pointer_constant, ...)
 : first(std::forward<_U1>(__x)), second(nullptr)
 { ; }

      template<typename _U2,
        __enable_if_t<__and_<is_pointer<_T1>,
        __not_<is_reference<_U2>>,
        is_constructible<_T2, _U2>,
        __not_<is_constructible<_T2, const _U2&>>,
        is_convertible<_U2, _T2>>::value,
        bool> = true>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 constexpr
 pair(__zero_as_null_pointer_constant, _U2&& __y, ...)
 : first(nullptr), second(std::forward<_U2>(__y))
 { ; }

      template<typename _U2,
        __enable_if_t<__and_<is_pointer<_T1>,
        __not_<is_reference<_U2>>,
        is_constructible<_T2, _U2>,
        __not_<is_constructible<_T2, const _U2&>>,
        __not_<is_convertible<_U2, _T2>>>::value,
        bool> = false>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 explicit constexpr
 pair(__zero_as_null_pointer_constant, _U2&& __y, ...)
 : first(nullptr), second(std::forward<_U2>(__y))
 { ; }



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

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


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

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



      pair&
      operator=(__conditional_t<__and_<is_copy_assignable<_T1>,
           is_copy_assignable<_T2>>::value,
    const pair&, const __nonesuch&> __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

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

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

      template<typename _U1, typename _U2>
 typename enable_if<__and_<is_assignable<_T1&, _U1&&>,
      is_assignable<_T2&, _U2&&>>::value,
      pair&>::type
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }
# 801 "/usr/include/c++/13/bits/stl_pair.h" 3
    };




  template<typename _T1, typename _T2> pair(_T1, _T2) -> pair<_T1, _T2>;



  template<typename _T1, typename _T2>
    inline constexpr bool
    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first == __y.first && __x.second == __y.second; }
# 833 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first < __y.first
      || (!(__y.first < __x.first) && __x.second < __y.second); }


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


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


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


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }
# 870 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline


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



    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
# 893 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 919 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }
# 942 "/usr/include/c++/13/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct __is_tuple_like_impl<pair<_T1, _T2>> : true_type
    { };



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


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


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


  template<typename _Tp1, typename _Tp2>
    inline constexpr size_t tuple_size_v<pair<_Tp1, _Tp2>> = 2;

  template<typename _Tp1, typename _Tp2>
    inline constexpr size_t tuple_size_v<const pair<_Tp1, _Tp2>> = 2;

  template<typename _Tp>
    inline constexpr bool __is_pair = false;

  template<typename _Tp, typename _Up>
    inline constexpr bool __is_pair<pair<_Tp, _Up>> = true;



  template<size_t _Int>
    struct __pair_get;

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

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

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

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

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

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

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

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






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

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

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

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





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

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

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

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

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

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

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

  template <typename _Tp, typename _Up>
    constexpr const _Tp&&
    get(const pair<_Up, _Tp>&& __p) noexcept
    { return std::move(__p.second); }
# 1118 "/usr/include/c++/13/bits/stl_pair.h" 3

}
# 65 "/usr/include/c++/13/bits/stl_algobase.h" 2 3




# 1 "/usr/include/c++/13/debug/debug.h" 1 3
# 48 "/usr/include/c++/13/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;

  template<typename _Ite, typename _Seq, typename _Cat>
    struct _Safe_iterator;
}
# 70 "/usr/include/c++/13/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/13/bits/predefined_ops.h" 1 3
# 35 "/usr/include/c++/13/bits/predefined_ops.h" 3
namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

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

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




   
    explicit
    _Iter_less_val(_Iter_less_iter) { }

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

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

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

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




   
    explicit
    _Val_less_iter(_Iter_less_iter) { }

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

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

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

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

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

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

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

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

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

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

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

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

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

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

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


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


      template<typename _Iterator, typename _Value>

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

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

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

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

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

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


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


      template<typename _Value, typename _Iterator>

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

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

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

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

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

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

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

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

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

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

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

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

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

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

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

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

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

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

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

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

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

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

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

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

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

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

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

}
}
# 72 "/usr/include/c++/13/bits/stl_algobase.h" 2 3




# 1 "/usr/include/c++/13/bit" 1 3
# 32 "/usr/include/c++/13/bit" 3
       
# 33 "/usr/include/c++/13/bit" 3
# 55 "/usr/include/c++/13/bit" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 149 "/usr/include/c++/13/bit" 3
  template<typename _Tp>
    constexpr _Tp
    __rotl(_Tp __x, int __s) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if constexpr ((_Nd & (_Nd - 1)) == 0)
 {


   constexpr unsigned __uNd = _Nd;
   const unsigned __r = __s;
   return (__x << (__r % __uNd)) | (__x >> ((-__r) % __uNd));
 }
      const int __r = __s % _Nd;
      if (__r == 0)
 return __x;
      else if (__r > 0)
 return (__x << __r) | (__x >> ((_Nd - __r) % _Nd));
      else
 return (__x >> -__r) | (__x << ((_Nd + __r) % _Nd));
    }

  template<typename _Tp>
    constexpr _Tp
    __rotr(_Tp __x, int __s) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if constexpr ((_Nd & (_Nd - 1)) == 0)
 {


   constexpr unsigned __uNd = _Nd;
   const unsigned __r = __s;
   return (__x >> (__r % __uNd)) | (__x << ((-__r) % __uNd));
 }
      const int __r = __s % _Nd;
      if (__r == 0)
 return __x;
      else if (__r > 0)
 return (__x >> __r) | (__x << ((_Nd - __r) % _Nd));
      else
 return (__x << -__r) | (__x >> ((_Nd + __r) % _Nd));
    }

  template<typename _Tp>
    constexpr int
    __countl_zero(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;

      if (__x == 0)
        return _Nd;

      constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
      constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
      constexpr auto _Nd_u = __int_traits<unsigned>::__digits;

      if constexpr (_Nd <= _Nd_u)
 {
   constexpr int __diff = _Nd_u - _Nd;
   return __builtin_clz(__x) - __diff;
 }
      else if constexpr (_Nd <= _Nd_ul)
 {
   constexpr int __diff = _Nd_ul - _Nd;
   return __builtin_clzl(__x) - __diff;
 }
      else if constexpr (_Nd <= _Nd_ull)
 {
   constexpr int __diff = _Nd_ull - _Nd;
   return __builtin_clzll(__x) - __diff;
 }
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   unsigned long long __high = __x >> _Nd_ull;
   if (__high != 0)
     {
       constexpr int __diff = (2 * _Nd_ull) - _Nd;
       return __builtin_clzll(__high) - __diff;
     }
   constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
   unsigned long long __low = __x & __max_ull;
   return (_Nd - _Nd_ull) + __builtin_clzll(__low);
 }
    }

  template<typename _Tp>
    constexpr int
    __countl_one(_Tp __x) noexcept
    {
      return std::__countl_zero<_Tp>((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __countr_zero(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;

      if (__x == 0)
        return _Nd;

      constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
      constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
      constexpr auto _Nd_u = __int_traits<unsigned>::__digits;

      if constexpr (_Nd <= _Nd_u)
 return __builtin_ctz(__x);
      else if constexpr (_Nd <= _Nd_ul)
 return __builtin_ctzl(__x);
      else if constexpr (_Nd <= _Nd_ull)
 return __builtin_ctzll(__x);
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
   unsigned long long __low = __x & __max_ull;
   if (__low != 0)
     return __builtin_ctzll(__low);
   unsigned long long __high = __x >> _Nd_ull;
   return __builtin_ctzll(__high) + _Nd_ull;
 }
    }

  template<typename _Tp>
    constexpr int
    __countr_one(_Tp __x) noexcept
    {
      return std::__countr_zero((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __popcount(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;

      constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
      constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
      constexpr auto _Nd_u = __int_traits<unsigned>::__digits;

      if constexpr (_Nd <= _Nd_u)
 return __builtin_popcount(__x);
      else if constexpr (_Nd <= _Nd_ul)
 return __builtin_popcountl(__x);
      else if constexpr (_Nd <= _Nd_ull)
 return __builtin_popcountll(__x);
      else
 {
   static_assert(_Nd <= (2 * _Nd_ull),
   "Maximum supported integer size is 128-bit");

   constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
   unsigned long long __low = __x & __max_ull;
   unsigned long long __high = __x >> _Nd_ull;
   return __builtin_popcountll(__low) + __builtin_popcountll(__high);
 }
    }

  template<typename _Tp>
    constexpr bool
    __has_single_bit(_Tp __x) noexcept
    { return std::__popcount(__x) == 1; }

  template<typename _Tp>
    constexpr _Tp
    __bit_ceil(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;
      if (__x == 0 || __x == 1)
        return 1;
      auto __shift_exponent = _Nd - std::__countl_zero((_Tp)(__x - 1u));




      if (!std::__is_constant_evaluated())
 {
   do { if (std::__is_constant_evaluated() && !bool(__shift_exponent != __int_traits<_Tp>::__digits)) __builtin_unreachable(); } while (false);
 }

      using __promoted_type = decltype(__x << 1);
      if constexpr (!is_same<__promoted_type, _Tp>::value)
 {





   const int __extra_exp = sizeof(__promoted_type) / sizeof(_Tp) / 2;
   __shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
 }
      return (_Tp)1u << __shift_exponent;
    }

  template<typename _Tp>
    constexpr _Tp
    __bit_floor(_Tp __x) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if (__x == 0)
        return 0;
      return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
    }

  template<typename _Tp>
    constexpr int
    __bit_width(_Tp __x) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      return _Nd - std::__countl_zero(__x);
    }
# 478 "/usr/include/c++/13/bit" 3

}
# 77 "/usr/include/c++/13/bits/stl_algobase.h" 2 3





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






  template<typename _Tp, typename _Up>
    constexpr
    inline int
    __memcmp(const _Tp* __first1, const _Up* __first2, size_t __num)
    {

      static_assert(sizeof(_Tp) == sizeof(_Up), "can be compared with memcmp");
# 108 "/usr/include/c++/13/bits/stl_algobase.h" 3
 return __builtin_memcmp(__first1, __first2, sizeof(_Tp) * __num);
    }
# 152 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 185 "/usr/include/c++/13/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 201 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {

     

     

      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
# 230 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {

     

      if (__b < __a)
 return __b;
      return __a;
    }
# 254 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {

     

      if (__a < __b)
 return __b;
      return __a;
    }
# 278 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__b, __a))
 return __b;
      return __a;
    }
# 300 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

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



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

  template<typename _Ite, typename _Seq>
    _Ite
    __niter_base(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq,
   std::random_access_iterator_tag>&);




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


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







  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = *__first;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = std::move(*__first);
   return __result;
 }
    };


  template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = *__first;
       ++__first;
       ++__result;
     }
   return __result;
 }

      template<typename _Tp, typename _Up>
 static void
 __assign_one(_Tp* __to, _Up* __from)
 { *__to = *__from; }
    };


  template<>
    struct __copy_move<true, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = std::move(*__first);
       ++__first;
       ++__result;
     }
   return __result;
 }

      template<typename _Tp, typename _Up>
 static void
 __assign_one(_Tp* __to, _Up* __from)
 { *__to = std::move(*__from); }
    };


  template<bool _IsMove>
    struct __copy_move<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp, typename _Up>

 static _Up*
 __copy_m(_Tp* __first, _Tp* __last, _Up* __result)
 {
   const ptrdiff_t _Num = __last - __first;
   if (__builtin_expect(_Num > 1, true))
     __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
   else if (_Num == 1)
     std::__copy_move<_IsMove, false, random_access_iterator_tag>::
       __assign_one(__result, __first);
   return __result + _Num;
 }
    };



  template<typename _Tp, typename _Ref, typename _Ptr>
    struct _Deque_iterator;

  struct _Bit_iterator;






  template<typename _CharT>
    struct char_traits;

  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_move_a2(
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 std::_Deque_iterator<_CharT, _CharT&, _CharT*>);


  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::iterator_category _Category;





      return std::__copy_move<_IsMove, __memcpyable<_OI, _II>::__value,
         _Category>::__copy_m(__first, __last, __result);
    }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_a1(std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_a1(_II, _II, std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a1(_II __first, _II __last, _OI __result)
    { return std::__copy_move_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_a1<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_a(_II, _II,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

  template<typename _InputIterator, typename _Size, typename _OutputIterator>
   
    _OutputIterator
    __copy_n_a(_InputIterator __first, _Size __n, _OutputIterator __result,
        bool)
    {
      if (__n > 0)
 {
   while (true)
     {
       *__result = *__first;
       ++__result;
       if (--__n > 0)
  ++__first;
       else
  break;
     }
 }
      return __result;
    }


  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value, _CharT*>::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >,
        _Size, _CharT*, bool);

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >, _Size,
        std::_Deque_iterator<_CharT, _CharT&, _CharT*>,
        bool);
# 621 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<__is_move_iterator<_II>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 654 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<true>(std::__miter_base(__first),
          std::__miter_base(__last), __result);
    }






  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = *--__last;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = *--__last;
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp, typename _Up>

 static _Up*
 __copy_move_b(_Tp* __first, _Tp* __last, _Up* __result)
 {
   const ptrdiff_t _Num = __last - __first;
   if (__builtin_expect(_Num > 1, true))
     __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
   else if (_Num == 1)
     std::__copy_move<_IsMove, false, random_access_iterator_tag>::
       __assign_one(__result - 1, __first);
   return __result - _Num;
 }
    };

  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::iterator_category _Category;





      return std::__copy_move_backward<_IsMove,
           __memcpyable<_BI2, _BI1>::__value,
           _Category>::__copy_move_b(__first,
         __last,
         __result);
    }

  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a1(_BI1 __first, _BI1 __last, _BI2 __result)
    { return std::__copy_move_backward_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_backward_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_backward_a1(
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_backward_a1(_II, _II,
       std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_backward_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_backward_a1<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_backward_a(_II, _II,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);
# 854 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     

      ;

      return std::__copy_move_backward_a<__is_move_iterator<_BI1>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 889 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     

      ;

      return std::__copy_move_backward_a<true>(std::__miter_base(__first),
            std::__miter_base(__last),
            __result);
    }






  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      for (; __first != __last; ++__first)
 *__first = __value;
    }

  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
 *__first = __tmp;
    }


  template<typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a1(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
# 950 "/usr/include/c++/13/bits/stl_algobase.h" 3
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }

  template<typename _Ite, typename _Cont, typename _Tp>
   
    inline void
    __fill_a1(::__gnu_cxx::__normal_iterator<_Ite, _Cont> __first,
       ::__gnu_cxx::__normal_iterator<_Ite, _Cont> __last,
       const _Tp& __value)
    { std::__fill_a1(__first.base(), __last.base(), __value); }

  template<typename _Tp, typename _VTp>
    void
    __fill_a1(const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const _VTp&);

 
  void
  __fill_a1(std::_Bit_iterator, std::_Bit_iterator,
     const bool&);

  template<typename _FIte, typename _Tp>
   
    inline void
    __fill_a(_FIte __first, _FIte __last, const _Tp& __value)
    { std::__fill_a1(__first, __last, __value); }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Tp>
    void
    __fill_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const _Tp&);
# 997 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
   
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(__first, __last, __value);
    }


  inline constexpr int
  __size_to_integer(int __n) { return __n; }
  inline constexpr unsigned
  __size_to_integer(unsigned __n) { return __n; }
  inline constexpr long
  __size_to_integer(long __n) { return __n; }
  inline constexpr unsigned long
  __size_to_integer(unsigned long __n) { return __n; }
  inline constexpr long long
  __size_to_integer(long long __n) { return __n; }
  inline constexpr unsigned long long
  __size_to_integer(unsigned long long __n) { return __n; }


  __extension__ inline constexpr __int128
  __size_to_integer(__int128 __n) { return __n; }
  __extension__ inline constexpr unsigned __int128
  __size_to_integer(unsigned __int128 __n) { return __n; }
# 1049 "/usr/include/c++/13/bits/stl_algobase.h" 3
  inline constexpr long long
  __size_to_integer(float __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(double __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(long double __n) { return (long long)__n; }





  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __value;
      return __first;
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __tmp;
      return __first;
    }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Size,
    typename _Tp>
    ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __fill_n_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>& __first,
        _Size __n, const _Tp& __value,
        std::input_iterator_tag);

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::output_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::input_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::random_access_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      if (__n <= 0)
 return __first;

      ;

      std::__fill_a(__first, __first + __n, __value);
      return __first + __n;
    }
# 1149 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
   
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     

      return std::__fill_n_a(__first, std::__size_to_integer(__n), __value,
          std::__iterator_category(__first));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>

 static bool
 equal(_II1 __first1, _II1 __last1, _II2 __first2)
 {
   for (; __first1 != __last1; ++__first1, (void) ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };

  template<>
    struct __equal<true>
    {
      template<typename _Tp>

 static bool
 equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
 {
   if (const size_t __len = (__last1 - __first1))
     return !std::__memcmp(__first1, __first2, __len);
   return true;
 }
    };

  template<typename _Tp, typename _Ref, typename _Ptr, typename _II>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   _II);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __equal_aux1(std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II, typename _Tp, typename _Ref, typename _Ptr>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_II, _II,
  std::_Deque_iterator<_Tp, _Ref, _Ptr>);

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux1(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      const bool __simple = ((__is_integer<_ValueType1>::__value
         || __is_pointer<_ValueType1>::__value)
        && __memcmpable<_II1, _II2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      return std::__equal_aux1(std::__niter_base(__first1),
          std::__niter_base(__last1),
          std::__niter_base(__first2));
    }

  template<typename _II1, typename _Seq1, typename _Cat1, typename _II2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  _II2);

  template<typename _II1, typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(_II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename _II1, typename _Seq1, typename _Cat1,
    typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>

 static _II1
 __newlast1(_II1, _II1 __last1, _II2, _II2)
 { return __last1; }

      template<typename _II>

 static bool
 __cnd2(_II __first, _II __last)
 { return __first != __last; }
    };

  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>

 static _RAI1
 __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
 {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }

      template<typename _RAI>
 static bool
 __cnd2(_RAI, _RAI)
 { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
   
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2,
       _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>

 static bool
 __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   using __gnu_cxx::__ops::__iter_less_iter;
   return std::__lexicographical_compare_impl(__first1, __last1,
           __first2, __last2,
           __iter_less_iter());
 }

      template<typename _II1, typename _II2>

 static int
 __3way(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   while (__first1 != __last1)
     {
       if (__first2 == __last2)
  return +1;
       if (*__first1 < *__first2)
  return -1;
       if (*__first2 < *__first1)
  return +1;
       ++__first1;
       ++__first2;
     }
   return int(__first2 == __last2) - 1;
 }
    };

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>

 static bool
 __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 { return __3way(__first1, __last1, __first2, __last2) < 0; }

      template<typename _Tp, typename _Up>

 static ptrdiff_t
 __3way(const _Tp* __first1, const _Tp* __last1,
        const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = std::__memcmp(__first1, __first2, __len))
       return __result;
   return ptrdiff_t(__len1 - __len2);
 }
    };

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux1(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
 (__is_memcmp_ordered_with<_ValueType1, _ValueType2>::__value
  && __is_pointer<_II1>::__value
  && __is_pointer<_II2>::__value







  );

      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 _Tp2*, _Tp2*);

  template<typename _Tp1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(_Tp1*, _Tp1*,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      return std::__lexicographical_compare_aux1(std::__niter_base(__first1),
       std::__niter_base(__last1),
       std::__niter_base(__first2),
       std::__niter_base(__last2));
    }

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _II2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  _II2, _II2);

  template<typename _II1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  _II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
   
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 1495 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
   
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

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



  template<typename _Tp>
    inline constexpr _Tp
    __lg(_Tp __n)
    {

      return std::__bit_width(make_unsigned_t<_Tp>(__n)) - 1;
# 1528 "/usr/include/c++/13/bits/stl_algobase.h" 3
    }


# 1544 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(__first1, __last1, __first2);
    }
# 1575 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
   
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

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



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

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


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

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }
# 1665 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {

     
     
     


      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2);
    }
# 1698 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
   
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2,
          __binary_pred);
    }
# 1730 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(__first1, __last1,
      __first2, __last2);
    }
# 1765 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
   
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

      return std::__lexicographical_compare_impl
 (__first1, __last1, __first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 1880 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1908 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {

     
     
     


      ;

      return std::__mismatch(__first1, __last1, __first2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1942 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

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



  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
      && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1991 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 2027 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

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





  template<typename _InputIterator, typename _Predicate>
   
    inline _InputIterator
    __find_if(_InputIterator __first, _InputIterator __last,
       _Predicate __pred, input_iterator_tag)
    {
      while (__first != __last && !__pred(__first))
 ++__first;
      return __first;
    }


  template<typename _RandomAccessIterator, typename _Predicate>
   
    _RandomAccessIterator
    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Predicate __pred, random_access_iterator_tag)
    {
      typename iterator_traits<_RandomAccessIterator>::difference_type
 __trip_count = (__last - __first) >> 2;

      for (; __trip_count > 0; --__trip_count)
 {
   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;
 }

      switch (__last - __first)
 {
 case 3:
   if (__pred(__first))
     return __first;
   ++__first;

 case 2:
   if (__pred(__first))
     return __first;
   ++__first;

 case 1:
   if (__pred(__first))
     return __first;
   ++__first;

 case 0:
 default:
   return __last;
 }
    }

  template<typename _Iterator, typename _Predicate>
   
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
      return __find_if(__first, __last, __pred,
         std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Predicate>
   
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
 if (__pred(__first))
   ++__n;
      return __n;
    }

  template<typename _ForwardIterator, typename _Predicate>
   
    _ForwardIterator
    __remove_if(_ForwardIterator __first, _ForwardIterator __last,
  _Predicate __pred)
    {
      __first = std::__find_if(__first, __last, __pred);
      if (__first == __last)
 return __first;
      _ForwardIterator __result = __first;
      ++__first;
      for (; __first != __last; ++__first)
 if (!__pred(__first))
   {
     *__result = std::move(*__first);
     ++__result;
   }
      return __result;
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {


      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__first1 == __last1)
 return true;



      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
     __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches
     = std::__count_if(__first2, __last2,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches ||
       std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 2204 "/usr/include/c++/13/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_equal_to_iter());
    }



}
# 52 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/refwrap.h" 1 3
# 33 "/usr/include/c++/13/bits/refwrap.h" 3
       
# 34 "/usr/include/c++/13/bits/refwrap.h" 3




# 1 "/usr/include/c++/13/bits/invoke.h" 1 3
# 33 "/usr/include/c++/13/bits/invoke.h" 3
       
# 34 "/usr/include/c++/13/bits/invoke.h" 3
# 42 "/usr/include/c++/13/bits/invoke.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 53 "/usr/include/c++/13/bits/invoke.h" 3
  template<typename _Tp, typename _Up = typename __inv_unwrap<_Tp>::type>
    constexpr _Up&&
    __invfwd(typename remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Up&&>(__t); }

  template<typename _Res, typename _Fn, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_other, _Fn&& __f, _Args&&... __args)
    { return std::forward<_Fn>(__f)(std::forward<_Args>(__args)...); }

  template<typename _Res, typename _MemFun, typename _Tp, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_memfun_ref, _MemFun&& __f, _Tp&& __t,
    _Args&&... __args)
    { return (__invfwd<_Tp>(__t).*__f)(std::forward<_Args>(__args)...); }

  template<typename _Res, typename _MemFun, typename _Tp, typename... _Args>
    constexpr _Res
    __invoke_impl(__invoke_memfun_deref, _MemFun&& __f, _Tp&& __t,
    _Args&&... __args)
    {
      return ((*std::forward<_Tp>(__t)).*__f)(std::forward<_Args>(__args)...);
    }

  template<typename _Res, typename _MemPtr, typename _Tp>
    constexpr _Res
    __invoke_impl(__invoke_memobj_ref, _MemPtr&& __f, _Tp&& __t)
    { return __invfwd<_Tp>(__t).*__f; }

  template<typename _Res, typename _MemPtr, typename _Tp>
    constexpr _Res
    __invoke_impl(__invoke_memobj_deref, _MemPtr&& __f, _Tp&& __t)
    { return (*std::forward<_Tp>(__t)).*__f; }


  template<typename _Callable, typename... _Args>
    constexpr typename __invoke_result<_Callable, _Args...>::type
    __invoke(_Callable&& __fn, _Args&&... __args)
    noexcept(__is_nothrow_invocable<_Callable, _Args...>::value)
    {
      using __result = __invoke_result<_Callable, _Args...>;
      using __type = typename __result::type;
      using __tag = typename __result::__invoke_type;
      return std::__invoke_impl<__type>(__tag{}, std::forward<_Callable>(__fn),
     std::forward<_Args>(__args)...);
    }



  template<typename _Res, typename _Callable, typename... _Args>
    constexpr enable_if_t<is_invocable_r_v<_Res, _Callable, _Args...>, _Res>
    __invoke_r(_Callable&& __fn, _Args&&... __args)
    noexcept(is_nothrow_invocable_r_v<_Res, _Callable, _Args...>)
    {
      using __result = __invoke_result<_Callable, _Args...>;
      using __type = typename __result::type;
      using __tag = typename __result::__invoke_type;
      if constexpr (is_void_v<_Res>)
 std::__invoke_impl<__type>(__tag{}, std::forward<_Callable>(__fn),
     std::forward<_Args>(__args)...);
      else
 return std::__invoke_impl<__type>(__tag{},
       std::forward<_Callable>(__fn),
       std::forward<_Args>(__args)...);
    }
# 155 "/usr/include/c++/13/bits/invoke.h" 3

}
# 39 "/usr/include/c++/13/bits/refwrap.h" 2 3


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

# 52 "/usr/include/c++/13/bits/refwrap.h" 3
  template<typename _Res, typename... _ArgTypes>
    struct _Maybe_unary_or_binary_function { };


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _Res, typename _T1>
    struct _Maybe_unary_or_binary_function<_Res, _T1>
    : std::unary_function<_T1, _Res> { };


  template<typename _Res, typename _T1, typename _T2>
    struct _Maybe_unary_or_binary_function<_Res, _T1, _T2>
    : std::binary_function<_T1, _T2, _Res> { };

#pragma GCC diagnostic pop

  template<typename _Signature>
    struct _Mem_fn_traits;

  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Mem_fn_traits_base
    {
      using __result_type = _Res;
      using __maybe_type
 = _Maybe_unary_or_binary_function<_Res, _Class*, _ArgTypes...>;
      using __arity = integral_constant<size_t, sizeof...(_ArgTypes)>;
    };
# 103 "/usr/include/c++/13/bits/refwrap.h" 3
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) > : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) > : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const > : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const > : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile > : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile > : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile > : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile > : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) &> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) &> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const &> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const &> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile &> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile &> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile &> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile &> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) &&> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) &&> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const &&> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const &&> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile &&> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile &&> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile &&> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile &&> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };


template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) & noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) & noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const & noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const & noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile & noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile & noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile & noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile & noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };
template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) && noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) && noexcept> : _Mem_fn_traits_base<_Res, _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const && noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const && noexcept> : _Mem_fn_traits_base<_Res, const _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) volatile && noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) volatile && noexcept> : _Mem_fn_traits_base<_Res, volatile _Class, _ArgTypes...> { using __vararg = true_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes...) const volatile && noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = false_type; }; template<typename _Res, typename _Class, typename... _ArgTypes> struct _Mem_fn_traits<_Res (_Class::*)(_ArgTypes... ...) const volatile && noexcept> : _Mem_fn_traits_base<_Res, const volatile _Class, _ArgTypes...> { using __vararg = true_type; };






  template<typename _Functor, typename = __void_t<>>
    struct _Maybe_get_result_type
    { };

  template<typename _Functor>
    struct _Maybe_get_result_type<_Functor,
      __void_t<typename _Functor::result_type>>
    { typedef typename _Functor::result_type result_type; };





  template<typename _Functor>
    struct _Weak_result_type_impl
    : _Maybe_get_result_type<_Functor>
    { };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(_ArgTypes...) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(_ArgTypes......) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct _Weak_result_type_impl<_Res(*)(_ArgTypes...) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Res, typename... _ArgTypes , bool _NE>
    struct
    _Weak_result_type_impl<_Res(*)(_ArgTypes......) noexcept (_NE)>
    { typedef _Res result_type; };


  template<typename _Functor,
    bool = is_member_function_pointer<_Functor>::value>
    struct _Weak_result_type_memfun
    : _Weak_result_type_impl<_Functor>
    { };


  template<typename _MemFunPtr>
    struct _Weak_result_type_memfun<_MemFunPtr, true>
    {
      using result_type = typename _Mem_fn_traits<_MemFunPtr>::__result_type;
    };


  template<typename _Func, typename _Class>
    struct _Weak_result_type_memfun<_Func _Class::*, false>
    { };





  template<typename _Functor>
    struct _Weak_result_type
    : _Weak_result_type_memfun<typename remove_cv<_Functor>::type>
    { };



  template<typename _Tp, typename = __void_t<>>
    struct _Refwrap_base_arg1
    { };


  template<typename _Tp>
    struct _Refwrap_base_arg1<_Tp,
         __void_t<typename _Tp::argument_type>>
    {
      typedef typename _Tp::argument_type argument_type;
    };


  template<typename _Tp, typename = __void_t<>>
    struct _Refwrap_base_arg2
    { };


  template<typename _Tp>
    struct _Refwrap_base_arg2<_Tp,
         __void_t<typename _Tp::first_argument_type,
           typename _Tp::second_argument_type>>
    {
      typedef typename _Tp::first_argument_type first_argument_type;
      typedef typename _Tp::second_argument_type second_argument_type;
    };







  template<typename _Tp>
    struct _Reference_wrapper_base
    : _Weak_result_type<_Tp>, _Refwrap_base_arg1<_Tp>, _Refwrap_base_arg2<_Tp>
    { };


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _Res, typename _T1 , bool _NE>
    struct _Reference_wrapper_base<_Res(_T1) noexcept (_NE)>
    : unary_function<_T1, _Res>
    { };

  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) const>
    : unary_function<_T1, _Res>
    { };

  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) volatile>
    : unary_function<_T1, _Res>
    { };

  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) const volatile>
    : unary_function<_T1, _Res>
    { };


  template<typename _Res, typename _T1, typename _T2 , bool _NE>
    struct _Reference_wrapper_base<_Res(_T1, _T2) noexcept (_NE)>
    : binary_function<_T1, _T2, _Res>
    { };

  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) const>
    : binary_function<_T1, _T2, _Res>
    { };

  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) volatile>
    : binary_function<_T1, _T2, _Res>
    { };

  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) const volatile>
    : binary_function<_T1, _T2, _Res>
    { };


  template<typename _Res, typename _T1 , bool _NE>
    struct _Reference_wrapper_base<_Res(*)(_T1) noexcept (_NE)>
    : unary_function<_T1, _Res>
    { };


  template<typename _Res, typename _T1, typename _T2 , bool _NE>
    struct _Reference_wrapper_base<_Res(*)(_T1, _T2) noexcept (_NE)>
    : binary_function<_T1, _T2, _Res>
    { };

  template<typename _Tp, bool = is_member_function_pointer<_Tp>::value>
    struct _Reference_wrapper_base_memfun
    : _Reference_wrapper_base<_Tp>
    { };

  template<typename _MemFunPtr>
    struct _Reference_wrapper_base_memfun<_MemFunPtr, true>
    : _Mem_fn_traits<_MemFunPtr>::__maybe_type
    {
      using result_type = typename _Mem_fn_traits<_MemFunPtr>::__result_type;
    };
#pragma GCC diagnostic pop
# 302 "/usr/include/c++/13/bits/refwrap.h" 3
  template<typename _Tp>
    class reference_wrapper



    : public _Reference_wrapper_base_memfun<typename remove_cv<_Tp>::type>

    {
      _Tp* _M_data;

     
      static _Tp* _S_fun(_Tp& __r) noexcept { return std::__addressof(__r); }

      static void _S_fun(_Tp&&) = delete;

      template<typename _Up, typename _Up2 = __remove_cvref_t<_Up>>
 using __not_same
   = typename enable_if<!is_same<reference_wrapper, _Up2>::value>::type;

    public:
      typedef _Tp type;




      template<typename _Up, typename = __not_same<_Up>, typename
  = decltype(reference_wrapper::_S_fun(std::declval<_Up>()))>

 reference_wrapper(_Up&& __uref)
 noexcept(noexcept(reference_wrapper::_S_fun(std::declval<_Up>())))
 : _M_data(reference_wrapper::_S_fun(std::forward<_Up>(__uref)))
 { }

      reference_wrapper(const reference_wrapper&) = default;

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

     
      operator _Tp&() const noexcept
      { return this->get(); }

     
      _Tp&
      get() const noexcept
      { return *_M_data; }

      template<typename... _Args>

 typename __invoke_result<_Tp&, _Args...>::type
 operator()(_Args&&... __args) const
 noexcept(__is_nothrow_invocable<_Tp&, _Args...>::value)
 {




   return std::__invoke(get(), std::forward<_Args>(__args)...);
 }
    };


  template<typename _Tp>
    reference_wrapper(_Tp&) -> reference_wrapper<_Tp>;





  template<typename _Tp>
   
    inline reference_wrapper<_Tp>
    ref(_Tp& __t) noexcept
    { return reference_wrapper<_Tp>(__t); }


  template<typename _Tp>
   
    inline reference_wrapper<const _Tp>
    cref(const _Tp& __t) noexcept
    { return reference_wrapper<const _Tp>(__t); }

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

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


  template<typename _Tp>
   
    inline reference_wrapper<_Tp>
    ref(reference_wrapper<_Tp> __t) noexcept
    { return __t; }


  template<typename _Tp>
   
    inline reference_wrapper<const _Tp>
    cref(reference_wrapper<_Tp> __t) noexcept
    { return { __t.get() }; }




}
# 53 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/range_access.h" 1 3
# 33 "/usr/include/c++/13/bits/range_access.h" 3
       
# 34 "/usr/include/c++/13/bits/range_access.h" 3


# 1 "/usr/include/c++/13/initializer_list" 1 3
# 33 "/usr/include/c++/13/initializer_list" 3
       
# 34 "/usr/include/c++/13/initializer_list" 3







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

  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(); }
}
# 37 "/usr/include/c++/13/bits/range_access.h" 2 3



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







  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    begin(_Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    begin(const _Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    end(_Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    end(const _Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }





  template<typename _Tp, size_t _Nm>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr _Tp*
    begin(_Tp (&__arr)[_Nm]) noexcept
    { return __arr; }






  template<typename _Tp, size_t _Nm>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr _Tp*
    end(_Tp (&__arr)[_Nm]) noexcept
    { return __arr + _Nm; }



  template<typename _Tp> class valarray;

  template<typename _Tp> _Tp* begin(valarray<_Tp>&) noexcept;
  template<typename _Tp> const _Tp* begin(const valarray<_Tp>&) noexcept;
  template<typename _Tp> _Tp* end(valarray<_Tp>&) noexcept;
  template<typename _Tp> const _Tp* end(const valarray<_Tp>&) noexcept;






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    constexpr auto
    cbegin(const _Container& __cont) noexcept(noexcept(std::begin(__cont)))
      -> decltype(std::begin(__cont))
    { return std::begin(__cont); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    constexpr auto
    cend(const _Container& __cont) noexcept(noexcept(std::end(__cont)))
      -> decltype(std::end(__cont))
    { return std::end(__cont); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    rbegin(_Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    rbegin(const _Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    rend(_Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    rend(const _Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Tp, size_t _Nm>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Tp*>
    rbegin(_Tp (&__arr)[_Nm]) noexcept
    { return reverse_iterator<_Tp*>(__arr + _Nm); }






  template<typename _Tp, size_t _Nm>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Tp*>
    rend(_Tp (&__arr)[_Nm]) noexcept
    { return reverse_iterator<_Tp*>(__arr); }






  template<typename _Tp>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<const _Tp*>
    rbegin(initializer_list<_Tp> __il) noexcept
    { return reverse_iterator<const _Tp*>(__il.end()); }






  template<typename _Tp>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<const _Tp*>
    rend(initializer_list<_Tp> __il) noexcept
    { return reverse_iterator<const _Tp*>(__il.begin()); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    crbegin(const _Container& __cont) -> decltype(std::rbegin(__cont))
    { return std::rbegin(__cont); }






  template<typename _Container>
    [[__nodiscard__, __gnu__::__always_inline__]]
    inline constexpr auto
    crend(const _Container& __cont) -> decltype(std::rend(__cont))
    { return std::rend(__cont); }
# 261 "/usr/include/c++/13/bits/range_access.h" 3
  template <typename _Container>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr auto
    size(const _Container& __cont) noexcept(noexcept(__cont.size()))
    -> decltype(__cont.size())
    { return __cont.size(); }




  template <typename _Tp, size_t _Nm>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr size_t
    size(const _Tp (&)[_Nm]) noexcept
    { return _Nm; }





  template <typename _Container>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr auto
    empty(const _Container& __cont) noexcept(noexcept(__cont.empty()))
    -> decltype(__cont.empty())
    { return __cont.empty(); }




  template <typename _Tp, size_t _Nm>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr bool
    empty(const _Tp (&)[_Nm]) noexcept
    { return false; }





  template <typename _Tp>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr bool
    empty(initializer_list<_Tp> __il) noexcept
    { return __il.size() == 0;}





  template <typename _Container>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr auto
    data(_Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Container>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr auto
    data(const _Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Tp, size_t _Nm>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr _Tp*
    data(_Tp (&__array)[_Nm]) noexcept
    { return __array; }





  template <typename _Tp>
    [[nodiscard, __gnu__::__always_inline__]]
    constexpr const _Tp*
    data(initializer_list<_Tp> __il) noexcept
    { return __il.begin(); }
# 370 "/usr/include/c++/13/bits/range_access.h" 3

}
# 54 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/basic_string.h" 1 3
# 37 "/usr/include/c++/13/bits/basic_string.h" 3
       
# 38 "/usr/include/c++/13/bits/basic_string.h" 3

# 1 "/usr/include/c++/13/ext/alloc_traits.h" 1 3
# 32 "/usr/include/c++/13/ext/alloc_traits.h" 3
       
# 33 "/usr/include/c++/13/ext/alloc_traits.h" 3

# 1 "/usr/include/c++/13/bits/alloc_traits.h" 1 3
# 33 "/usr/include/c++/13/bits/alloc_traits.h" 3
# 1 "/usr/include/c++/13/bits/stl_construct.h" 1 3
# 73 "/usr/include/c++/13/bits/stl_construct.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template <typename _Tp>
    inline void
    destroy_at(_Tp* __location)
    {
      if constexpr (201703L > 201703L && is_array_v<_Tp>)
 {
   for (auto& __x : *__location)
     std::destroy_at(std::__addressof(__x));
 }
      else
 __location->~_Tp();
    }
# 106 "/usr/include/c++/13/bits/stl_construct.h" 3
  template<typename _Tp, typename... _Args>
   
    inline void
    _Construct(_Tp* __p, _Args&&... __args)
    {
# 119 "/usr/include/c++/13/bits/stl_construct.h" 3
      ::new((void*)__p) _Tp(std::forward<_Args>(__args)...);
    }
# 132 "/usr/include/c++/13/bits/stl_construct.h" 3
  template<typename _T1>
    inline void
    _Construct_novalue(_T1* __p)
    { ::new((void*)__p) _T1; }

  template<typename _ForwardIterator>
    void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last);




  template<typename _Tp>
    constexpr inline void
    _Destroy(_Tp* __pointer)
    {



      __pointer->~_Tp();

    }

  template<bool>
    struct _Destroy_aux
    {
      template<typename _ForwardIterator>
 static void
 __destroy(_ForwardIterator __first, _ForwardIterator __last)
 {
   for (; __first != __last; ++__first)
     std::_Destroy(std::__addressof(*__first));
 }
    };

  template<>
    struct _Destroy_aux<true>
    {
      template<typename _ForwardIterator>
        static void
        __destroy(_ForwardIterator, _ForwardIterator) { }
    };






  template<typename _ForwardIterator>
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");





      std::_Destroy_aux<__has_trivial_destructor(_Value_type)>::
 __destroy(__first, __last);
    }

  template<bool>
    struct _Destroy_n_aux
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __destroy_n(_ForwardIterator __first, _Size __count)
 {
   for (; __count > 0; (void)++__first, --__count)
     std::_Destroy(std::__addressof(*__first));
   return __first;
 }
    };

  template<>
    struct _Destroy_n_aux<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __destroy_n(_ForwardIterator __first, _Size __count)
 {
   std::advance(__first, __count);
   return __first;
 }
    };






  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    _Destroy_n(_ForwardIterator __first, _Size __count)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");





      return std::_Destroy_n_aux<__has_trivial_destructor(_Value_type)>::
 __destroy_n(__first, __count);
    }


  template <typename _ForwardIterator>
    inline void
    destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      std::_Destroy(__first, __last);
    }

  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    destroy_n(_ForwardIterator __first, _Size __count)
    {
      return std::_Destroy_n(__first, __count);
    }



}
# 34 "/usr/include/c++/13/bits/alloc_traits.h" 2 3
# 43 "/usr/include/c++/13/bits/alloc_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{






  struct __allocator_traits_base
  {
    template<typename _Tp, typename _Up, typename = void>
      struct __rebind : __replace_first_arg<_Tp, _Up>
      {
 static_assert(is_same<
   typename __replace_first_arg<_Tp, typename _Tp::value_type>::type,
   _Tp>::value,
   "allocator_traits<A>::rebind_alloc<A::value_type> must be A");
      };

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

 static_assert(is_same<
   typename _Tp::template rebind<typename _Tp::value_type>::other,
   _Tp>::value,
   "allocator_traits<A>::rebind_alloc<A::value_type> must be A");
      };

  protected:
    template<typename _Tp>
      using __pointer = typename _Tp::pointer;
    template<typename _Tp>
      using __c_pointer = typename _Tp::const_pointer;
    template<typename _Tp>
      using __v_pointer = typename _Tp::void_pointer;
    template<typename _Tp>
      using __cv_pointer = typename _Tp::const_void_pointer;
    template<typename _Tp>
      using __pocca = typename _Tp::propagate_on_container_copy_assignment;
    template<typename _Tp>
      using __pocma = typename _Tp::propagate_on_container_move_assignment;
    template<typename _Tp>
      using __pocs = typename _Tp::propagate_on_container_swap;
    template<typename _Tp>
      using __equal = __type_identity<typename _Tp::is_always_equal>;
  };

  template<typename _Alloc, typename _Up>
    using __alloc_rebind
      = typename __allocator_traits_base::template __rebind<_Alloc, _Up>::type;
# 104 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Alloc>
    struct allocator_traits : __allocator_traits_base
    {

      typedef _Alloc allocator_type;

      typedef typename _Alloc::value_type value_type;






      using pointer = __detected_or_t<value_type*, __pointer, _Alloc>;

    private:

      template<template<typename> class _Func, typename _Tp, typename = void>
 struct _Ptr
 {
   using type = typename pointer_traits<pointer>::template rebind<_Tp>;
 };

      template<template<typename> class _Func, typename _Tp>
 struct _Ptr<_Func, _Tp, __void_t<_Func<_Alloc>>>
 {
   using type = _Func<_Alloc>;
 };


      template<typename _A2, typename _PtrT, typename = void>
 struct _Diff
 { using type = typename pointer_traits<_PtrT>::difference_type; };

      template<typename _A2, typename _PtrT>
 struct _Diff<_A2, _PtrT, __void_t<typename _A2::difference_type>>
 { using type = typename _A2::difference_type; };


      template<typename _A2, typename _DiffT, typename = void>
 struct _Size : make_unsigned<_DiffT> { };

      template<typename _A2, typename _DiffT>
 struct _Size<_A2, _DiffT, __void_t<typename _A2::size_type>>
 { using type = typename _A2::size_type; };

    public:






      using const_pointer = typename _Ptr<__c_pointer, const value_type>::type;







      using void_pointer = typename _Ptr<__v_pointer, void>::type;







      using const_void_pointer = typename _Ptr<__cv_pointer, const void>::type;







      using difference_type = typename _Diff<_Alloc, pointer>::type;







      using size_type = typename _Size<_Alloc, difference_type>::type;







      using propagate_on_container_copy_assignment
 = __detected_or_t<false_type, __pocca, _Alloc>;







      using propagate_on_container_move_assignment
 = __detected_or_t<false_type, __pocma, _Alloc>;







      using propagate_on_container_swap
 = __detected_or_t<false_type, __pocs, _Alloc>;







      using is_always_equal
 = typename __detected_or_t<is_empty<_Alloc>, __equal, _Alloc>::type;

      template<typename _Tp>
 using rebind_alloc = __alloc_rebind<_Alloc, _Tp>;
      template<typename _Tp>
 using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;

    private:
      template<typename _Alloc2>
 static constexpr auto
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint, int)
 -> decltype(__a.allocate(__n, __hint))
 { return __a.allocate(__n, __hint); }

      template<typename _Alloc2>
 static constexpr pointer
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer, ...)
 { return __a.allocate(__n); }

      template<typename _Tp, typename... _Args>
 struct __construct_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->construct(
    std::declval<_Tp*>(), std::declval<_Args>()...))>
     static true_type __test(int);

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

   using type = decltype(__test<_Alloc>(0));
 };

      template<typename _Tp, typename... _Args>
 using __has_construct
   = typename __construct_helper<_Tp, _Args...>::type;

      template<typename _Tp, typename... _Args>
 static constexpr _Require<__has_construct<_Tp, _Args...>>
 _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(__a.construct(__p, std::forward<_Args>(__args)...)))
 { __a.construct(__p, std::forward<_Args>(__args)...); }

      template<typename _Tp, typename... _Args>
 static constexpr
 _Require<__and_<__not_<__has_construct<_Tp, _Args...>>,
          is_constructible<_Tp, _Args...>>>
 _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Tp, _Args...>::value)
 {

   ::new((void*)__p) _Tp(std::forward<_Args>(__args)...);



 }

      template<typename _Alloc2, typename _Tp>
 static constexpr auto
 _S_destroy(_Alloc2& __a, _Tp* __p, int)
 noexcept(noexcept(__a.destroy(__p)))
 -> decltype(__a.destroy(__p))
 { __a.destroy(__p); }

      template<typename _Alloc2, typename _Tp>
 static constexpr void
 _S_destroy(_Alloc2&, _Tp* __p, ...)
 noexcept(std::is_nothrow_destructible<_Tp>::value)
 { std::_Destroy(__p); }

      template<typename _Alloc2>
 static constexpr auto
 _S_max_size(_Alloc2& __a, int)
 -> decltype(__a.max_size())
 { return __a.max_size(); }

      template<typename _Alloc2>
 static constexpr size_type
 _S_max_size(_Alloc2&, ...)
 {


   return __gnu_cxx::__numeric_traits<size_type>::__max
     / sizeof(value_type);
 }

      template<typename _Alloc2>
 static constexpr auto
 _S_select(_Alloc2& __a, int)
 -> decltype(__a.select_on_container_copy_construction())
 { return __a.select_on_container_copy_construction(); }

      template<typename _Alloc2>
 static constexpr _Alloc2
 _S_select(_Alloc2& __a, ...)
 { return __a; }

    public:
# 331 "/usr/include/c++/13/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
# 346 "/usr/include/c++/13/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint, 0); }
# 358 "/usr/include/c++/13/bits/alloc_traits.h" 3
      static void
      deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 373 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Tp, typename... _Args>
 static auto
 construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(_S_construct(__a, __p,
           std::forward<_Args>(__args)...)))
 -> decltype(_S_construct(__a, __p, std::forward<_Args>(__args)...))
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
# 389 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Tp>
 static void
 destroy(_Alloc& __a, _Tp* __p)
 noexcept(noexcept(_S_destroy(__a, __p, 0)))
 { _S_destroy(__a, __p, 0); }
# 403 "/usr/include/c++/13/bits/alloc_traits.h" 3
      static size_type
      max_size(const _Alloc& __a) noexcept
      { return _S_max_size(__a, 0); }
# 415 "/usr/include/c++/13/bits/alloc_traits.h" 3
      static _Alloc
      select_on_container_copy_construction(const _Alloc& __rhs)
      { return _S_select(__rhs, 0); }
    };
# 427 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Tp>
    struct allocator_traits<allocator<_Tp>>
    {

      using allocator_type = allocator<_Tp>;


      using value_type = _Tp;


      using pointer = _Tp*;


      using const_pointer = const _Tp*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;
# 479 "/usr/include/c++/13/bits/alloc_traits.h" 3
      [[__nodiscard__,__gnu__::__always_inline__]]
      static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 494 "/usr/include/c++/13/bits/alloc_traits.h" 3
      [[__nodiscard__,__gnu__::__always_inline__]]
      static pointer
      allocate(allocator_type& __a, size_type __n,
        [[maybe_unused]] const_void_pointer __hint)
      {

 return __a.allocate(__n, __hint);



      }
# 514 "/usr/include/c++/13/bits/alloc_traits.h" 3
      [[__gnu__::__always_inline__]]
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 530 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 [[__gnu__::__always_inline__]]
 static void
 construct(allocator_type& __a __attribute__((__unused__)), _Up* __p,
    _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Up, _Args...>::value)
 {

   __a.construct(__p, std::forward<_Args>(__args)...);



 }
# 551 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Up>
 [[__gnu__::__always_inline__]]
 static void
 destroy(allocator_type& __a __attribute__((__unused__)), _Up* __p)
 noexcept(is_nothrow_destructible<_Up>::value)
 {

   __a.destroy(__p);



 }






      [[__gnu__::__always_inline__]]
      static size_type
      max_size(const allocator_type& __a __attribute__((__unused__))) noexcept
      {

 return __a.max_size();



      }






      [[__gnu__::__always_inline__]]
      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };


  template<>
    struct allocator_traits<allocator<void>>
    {

      using allocator_type = allocator<void>;


      using value_type = void;


      using pointer = void*;


      using const_pointer = const void*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;


      static void*
      allocate(allocator_type&, size_type, const void* = nullptr) = delete;


      static void
      deallocate(allocator_type&, void*, size_type) = delete;
# 656 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 [[__gnu__::__always_inline__]]
 static void
 construct(allocator_type&, _Up* __p, _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Up, _Args...>::value)
 { std::_Construct(__p, std::forward<_Args>(__args)...); }
# 670 "/usr/include/c++/13/bits/alloc_traits.h" 3
      template<typename _Up>
 [[__gnu__::__always_inline__]]
 static void
 destroy(allocator_type&, _Up* __p)
 noexcept(is_nothrow_destructible<_Up>::value)
 { std::_Destroy(__p); }


      static size_type
      max_size(const allocator_type&) = delete;






      [[__gnu__::__always_inline__]]
      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };
# 708 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Alloc>
    [[__gnu__::__always_inline__]]
    constexpr inline void
    __alloc_on_copy(_Alloc& __one, const _Alloc& __two)
    {
      using __traits = allocator_traits<_Alloc>;
      using __pocca =
 typename __traits::propagate_on_container_copy_assignment::type;

      if constexpr (__pocca::value)
 __one = __two;



    }

  template<typename _Alloc>
    [[__gnu__::__always_inline__]]
    constexpr _Alloc
    __alloc_on_copy(const _Alloc& __a)
    {
      typedef allocator_traits<_Alloc> __traits;
      return __traits::select_on_container_copy_construction(__a);
    }
# 745 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Alloc>
    [[__gnu__::__always_inline__]]
    constexpr inline void
    __alloc_on_move(_Alloc& __one, _Alloc& __two)
    {
      using __traits = allocator_traits<_Alloc>;
      using __pocma
 = typename __traits::propagate_on_container_move_assignment::type;

      if constexpr (__pocma::value)
 __one = std::move(__two);



    }
# 776 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Alloc>
    [[__gnu__::__always_inline__]]
    constexpr inline void
    __alloc_on_swap(_Alloc& __one, _Alloc& __two)
    {
      using __traits = allocator_traits<_Alloc>;
      using __pocs = typename __traits::propagate_on_container_swap::type;

      if constexpr (__pocs::value)
 {
   using std::swap;
   swap(__one, __two);
 }



    }

  template<typename _Alloc, typename _Tp,
    typename _ValueT = __remove_cvref_t<typename _Alloc::value_type>,
    typename = void>
    struct __is_alloc_insertable_impl
    : false_type
    { };

  template<typename _Alloc, typename _Tp, typename _ValueT>
    struct __is_alloc_insertable_impl<_Alloc, _Tp, _ValueT,
      __void_t<decltype(allocator_traits<_Alloc>::construct(
     std::declval<_Alloc&>(), std::declval<_ValueT*>(),
     std::declval<_Tp>()))>>
    : true_type
    { };




  template<typename _Alloc>
    struct __is_copy_insertable
    : __is_alloc_insertable_impl<_Alloc,
     typename _Alloc::value_type const&>::type
    { };



  template<typename _Tp>
    struct __is_copy_insertable<allocator<_Tp>>
    : is_copy_constructible<_Tp>
    { };





  template<typename _Alloc>
    struct __is_move_insertable
    : __is_alloc_insertable_impl<_Alloc, typename _Alloc::value_type>::type
    { };



  template<typename _Tp>
    struct __is_move_insertable<allocator<_Tp>>
    : is_move_constructible<_Tp>
    { };



  template<typename _Alloc, typename = void>
    struct __is_allocator : false_type { };

  template<typename _Alloc>
    struct __is_allocator<_Alloc,
      __void_t<typename _Alloc::value_type,
        decltype(std::declval<_Alloc&>().allocate(size_t{}))>>
    : true_type { };

  template<typename _Alloc>
    using _RequireAllocator
      = typename enable_if<__is_allocator<_Alloc>::value, _Alloc>::type;

  template<typename _Alloc>
    using _RequireNotAllocator
      = typename enable_if<!__is_allocator<_Alloc>::value, _Alloc>::type;
# 873 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_swap
    { static void _S_do_it(_Alloc&, _Alloc&) noexcept { } };

  template<typename _Alloc>
    struct __alloc_swap<_Alloc, false>
    {
      static void
      _S_do_it(_Alloc& __one, _Alloc& __two) noexcept
      {

 if (__one != __two)
   swap(__one, __two);
      }
    };


  template<typename _Tp, bool
    = __or_<is_copy_constructible<typename _Tp::value_type>,
            is_nothrow_move_constructible<typename _Tp::value_type>>::value>
    struct __shrink_to_fit_aux
    { static bool _S_do_it(_Tp&) noexcept { return false; } };

  template<typename _Tp>
    struct __shrink_to_fit_aux<_Tp, true>
    {
     
      static bool
      _S_do_it(_Tp& __c) noexcept
      {

 try
   {
     _Tp(__make_move_if_noexcept_iterator(__c.begin()),
  __make_move_if_noexcept_iterator(__c.end()),
  __c.get_allocator()).swap(__c);
     return true;
   }
 catch(...)
   { return false; }



      }
    };
# 926 "/usr/include/c++/13/bits/alloc_traits.h" 3
  template<typename _ForwardIterator, typename _Allocator>
   
    void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      _Allocator& __alloc)
    {
      for (; __first != __last; ++__first)



 allocator_traits<_Allocator>::destroy(__alloc,
           std::__addressof(*__first));

    }


  template<typename _ForwardIterator, typename _Tp>
    __attribute__((__always_inline__))
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      allocator<_Tp>&)
    {
      std::_Destroy(__first, __last);
    }




}
# 35 "/usr/include/c++/13/ext/alloc_traits.h" 2 3

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






template<typename _Alloc, typename = typename _Alloc::value_type>
  struct __alloc_traits

  : std::allocator_traits<_Alloc>

  {
    typedef _Alloc allocator_type;

    typedef std::allocator_traits<_Alloc> _Base_type;
    typedef typename _Base_type::value_type value_type;
    typedef typename _Base_type::pointer pointer;
    typedef typename _Base_type::const_pointer const_pointer;
    typedef typename _Base_type::size_type size_type;
    typedef typename _Base_type::difference_type difference_type;

    typedef value_type& reference;
    typedef const value_type& const_reference;
    using _Base_type::allocate;
    using _Base_type::deallocate;
    using _Base_type::construct;
    using _Base_type::destroy;
    using _Base_type::max_size;

  private:
    template<typename _Ptr>
      using __is_custom_pointer
 = std::__and_<std::is_same<pointer, _Ptr>,
        std::__not_<std::is_pointer<_Ptr>>>;

  public:

    template<typename _Ptr, typename... _Args>
      [[__gnu__::__always_inline__]]
      static constexpr
      std::__enable_if_t<__is_custom_pointer<_Ptr>::value>
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      noexcept(noexcept(_Base_type::construct(__a, std::__to_address(__p),
           std::forward<_Args>(__args)...)))
      {
 _Base_type::construct(__a, std::__to_address(__p),
         std::forward<_Args>(__args)...);
      }


    template<typename _Ptr>
      [[__gnu__::__always_inline__]]
      static constexpr
      std::__enable_if_t<__is_custom_pointer<_Ptr>::value>
      destroy(_Alloc& __a, _Ptr __p)
      noexcept(noexcept(_Base_type::destroy(__a, std::__to_address(__p))))
      { _Base_type::destroy(__a, std::__to_address(__p)); }

    [[__gnu__::__always_inline__]]
    static constexpr _Alloc _S_select_on_copy(const _Alloc& __a)
    { return _Base_type::select_on_container_copy_construction(__a); }

    [[__gnu__::__always_inline__]]
    static constexpr void _S_on_swap(_Alloc& __a, _Alloc& __b)
    { std::__alloc_on_swap(__a, __b); }

    [[__gnu__::__always_inline__]]
    static constexpr bool _S_propagate_on_copy_assign()
    { return _Base_type::propagate_on_container_copy_assignment::value; }

    [[__gnu__::__always_inline__]]
    static constexpr bool _S_propagate_on_move_assign()
    { return _Base_type::propagate_on_container_move_assignment::value; }

    [[__gnu__::__always_inline__]]
    static constexpr bool _S_propagate_on_swap()
    { return _Base_type::propagate_on_container_swap::value; }

    [[__gnu__::__always_inline__]]
    static constexpr bool _S_always_equal()
    { return _Base_type::is_always_equal::value; }

    __attribute__((__always_inline__))
    static constexpr bool _S_nothrow_move()
    { return _S_propagate_on_move_assign() || _S_always_equal(); }

    template<typename _Tp>
      struct rebind
      { typedef typename _Base_type::template rebind_alloc<_Tp> other; };
# 180 "/usr/include/c++/13/ext/alloc_traits.h" 3
  };


}
# 40 "/usr/include/c++/13/bits/basic_string.h" 2 3







# 1 "/usr/include/c++/13/string_view" 1 3
# 36 "/usr/include/c++/13/string_view" 3
       
# 37 "/usr/include/c++/13/string_view" 3





# 1 "/usr/include/c++/13/bits/functional_hash.h" 1 3
# 33 "/usr/include/c++/13/bits/functional_hash.h" 3
       
# 34 "/usr/include/c++/13/bits/functional_hash.h" 3


# 1 "/usr/include/c++/13/bits/hash_bytes.h" 1 3
# 33 "/usr/include/c++/13/bits/hash_bytes.h" 3
       
# 34 "/usr/include/c++/13/bits/hash_bytes.h" 3



namespace std
{







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





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


}
# 37 "/usr/include/c++/13/bits/functional_hash.h" 2 3

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

# 50 "/usr/include/c++/13/bits/functional_hash.h" 3
  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type [[__deprecated__]];
      typedef _Arg argument_type [[__deprecated__]];
    };


  template<typename _Tp>
    struct hash;

  template<typename _Tp, typename = void>
    struct __poison_hash
    {
      static constexpr bool __enable_hash_call = false;
    private:

      __poison_hash(__poison_hash&&);
      ~__poison_hash();
    };

  template<typename _Tp>
    struct __poison_hash<_Tp, __void_t<decltype(hash<_Tp>()(declval<_Tp>()))>>
    {
      static constexpr bool __enable_hash_call = true;
    };


  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __hash_enum
    {
    private:

      __hash_enum(__hash_enum&&);
      ~__hash_enum();
    };


  template<typename _Tp>
    struct __hash_enum<_Tp, true> : public __hash_base<size_t, _Tp>
    {
      size_t
      operator()(_Tp __val) const noexcept
      {
       using __type = typename underlying_type<_Tp>::type;
       return hash<__type>{}(static_cast<__type>(__val));
      }
    };



  template<typename _Tp>
    struct hash : __hash_enum<_Tp>
    { };


  template<typename _Tp>
    struct hash<_Tp*> : public __hash_base<size_t, _Tp*>
    {
      size_t
      operator()(_Tp* __p) const noexcept
      { return reinterpret_cast<size_t>(__p); }
    };
# 125 "/usr/include/c++/13/bits/functional_hash.h" 3
  template<> struct hash<bool> : public __hash_base<size_t, bool> { size_t operator()(bool __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char> : public __hash_base<size_t, char> { size_t operator()(char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<signed char> : public __hash_base<size_t, signed char> { size_t operator()(signed char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned char> : public __hash_base<size_t, unsigned char> { size_t operator()(unsigned char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<wchar_t> : public __hash_base<size_t, wchar_t> { size_t operator()(wchar_t __val) const noexcept { return static_cast<size_t>(__val); } };







  template<> struct hash<char16_t> : public __hash_base<size_t, char16_t> { size_t operator()(char16_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char32_t> : public __hash_base<size_t, char32_t> { size_t operator()(char32_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<short> : public __hash_base<size_t, short> { size_t operator()(short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<int> : public __hash_base<size_t, int> { size_t operator()(int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long> : public __hash_base<size_t, long> { size_t operator()(long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long long> : public __hash_base<size_t, long long> { size_t operator()(long long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned short> : public __hash_base<size_t, unsigned short> { size_t operator()(unsigned short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned int> : public __hash_base<size_t, unsigned int> { size_t operator()(unsigned int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long> : public __hash_base<size_t, unsigned long> { size_t operator()(unsigned long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long long> : public __hash_base<size_t, unsigned long long> { size_t operator()(unsigned long long __val) const noexcept { return static_cast<size_t>(__val); } };


  __extension__
  template<> struct hash<__int128> : public __hash_base<size_t, __int128> { size_t operator()(__int128 __val) const noexcept { return static_cast<size_t>(__val); } };
  __extension__
  template<> struct hash<__int128 unsigned> : public __hash_base<size_t, __int128 unsigned> { size_t operator()(__int128 unsigned __val) const noexcept { return static_cast<size_t>(__val); } };
# 201 "/usr/include/c++/13/bits/functional_hash.h" 3
  struct _Hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(0xc70f6907UL))
    { return _Hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  struct _Fnv_hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(2166136261UL))
    { return _Fnv_hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  template<>
    struct hash<float> : public __hash_base<size_t, float>
    {
      size_t
      operator()(float __val) const noexcept
      {

 return __val != 0.0f ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<double> : public __hash_base<size_t, double>
    {
      size_t
      operator()(double __val) const noexcept
      {

 return __val != 0.0 ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<long double>
    : public __hash_base<size_t, long double>
    {
      __attribute__ ((__pure__)) size_t
      operator()(long double __val) const noexcept;
    };


  template<>
    struct hash<nullptr_t> : public __hash_base<size_t, nullptr_t>
    {
      size_t
      operator()(nullptr_t) const noexcept
      { return 0; }
    };
# 294 "/usr/include/c++/13/bits/functional_hash.h" 3
  template<typename _Hash>
    struct __is_fast_hash : public std::true_type
    { };

  template<>
    struct __is_fast_hash<hash<long double>> : public std::false_type
    { };


}
# 43 "/usr/include/c++/13/string_view" 2 3
# 56 "/usr/include/c++/13/string_view" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 69 "/usr/include/c++/13/string_view" 3
  constexpr size_t
  __sv_check(size_t __size, size_t __pos, const char* __s)
  {
    if (__pos > __size)
      __throw_out_of_range_fmt(("%s: __pos (which is %zu) > __size " "(which is %zu)")
                        , __s, __pos, __size);
    return __pos;
  }



  constexpr size_t
  __sv_limit(size_t __size, size_t __pos, size_t __off) noexcept
  {
   const bool __testoff = __off < __size - __pos;
   return __testoff ? __off : __size - __pos;
  }
# 105 "/usr/include/c++/13/string_view" 3
  template<typename _CharT, typename _Traits = std::char_traits<_CharT>>
    class basic_string_view
    {
      static_assert(!is_array_v<_CharT>);
      static_assert(is_trivial_v<_CharT> && is_standard_layout_v<_CharT>);
      static_assert(is_same_v<_CharT, typename _Traits::char_type>);

    public:


      using traits_type = _Traits;
      using value_type = _CharT;
      using pointer = value_type*;
      using const_pointer = const value_type*;
      using reference = value_type&;
      using const_reference = const value_type&;
      using const_iterator = const value_type*;
      using iterator = const_iterator;
      using const_reverse_iterator = std::reverse_iterator<const_iterator>;
      using reverse_iterator = const_reverse_iterator;
      using size_type = size_t;
      using difference_type = ptrdiff_t;
      static constexpr size_type npos = size_type(-1);



      constexpr
      basic_string_view() noexcept
      : _M_len{0}, _M_str{nullptr}
      { }

      constexpr basic_string_view(const basic_string_view&) noexcept = default;

      [[__gnu__::__nonnull__]]
      constexpr
      basic_string_view(const _CharT* __str) noexcept
      : _M_len{traits_type::length(__str)},
 _M_str{__str}
      { }

      constexpr
      basic_string_view(const _CharT* __str, size_type __len) noexcept
      : _M_len{__len}, _M_str{__str}
      { }
# 180 "/usr/include/c++/13/string_view" 3
      constexpr basic_string_view&
      operator=(const basic_string_view&) noexcept = default;



      [[nodiscard]]
      constexpr const_iterator
      begin() const noexcept
      { return this->_M_str; }

      [[nodiscard]]
      constexpr const_iterator
      end() const noexcept
      { return this->_M_str + this->_M_len; }

      [[nodiscard]]
      constexpr const_iterator
      cbegin() const noexcept
      { return this->_M_str; }

      [[nodiscard]]
      constexpr const_iterator
      cend() const noexcept
      { return this->_M_str + this->_M_len; }

      [[nodiscard]]
      constexpr const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }

      [[nodiscard]]
      constexpr const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }

      [[nodiscard]]
      constexpr const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }

      [[nodiscard]]
      constexpr const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }



      [[nodiscard]]
      constexpr size_type
      size() const noexcept
      { return this->_M_len; }

      [[nodiscard]]
      constexpr size_type
      length() const noexcept
      { return _M_len; }

      [[nodiscard]]
      constexpr size_type
      max_size() const noexcept
      {
 return (npos - sizeof(size_type) - sizeof(void*))
  / sizeof(value_type) / 4;
      }

      [[nodiscard]]
      constexpr bool
      empty() const noexcept
      { return this->_M_len == 0; }



      [[nodiscard]]
      constexpr const_reference
      operator[](size_type __pos) const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(__pos < this->_M_len)) __builtin_unreachable(); } while (false);
 return *(this->_M_str + __pos);
      }

      [[nodiscard]]
      constexpr const_reference
      at(size_type __pos) const
      {
 if (__pos >= _M_len)
   __throw_out_of_range_fmt(("basic_string_view::at: __pos " "(which is %zu) >= this->size() " "(which is %zu)")

                            , __pos, this->size());
 return *(this->_M_str + __pos);
      }

      [[nodiscard]]
      constexpr const_reference
      front() const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(this->_M_len > 0)) __builtin_unreachable(); } while (false);
 return *this->_M_str;
      }

      [[nodiscard]]
      constexpr const_reference
      back() const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(this->_M_len > 0)) __builtin_unreachable(); } while (false);
 return *(this->_M_str + this->_M_len - 1);
      }

      [[nodiscard]]
      constexpr const_pointer
      data() const noexcept
      { return this->_M_str; }



      constexpr void
      remove_prefix(size_type __n) noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(this->_M_len >= __n)) __builtin_unreachable(); } while (false);
 this->_M_str += __n;
 this->_M_len -= __n;
      }

      constexpr void
      remove_suffix(size_type __n) noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(this->_M_len >= __n)) __builtin_unreachable(); } while (false);
 this->_M_len -= __n;
      }

      constexpr void
      swap(basic_string_view& __sv) noexcept
      {
 auto __tmp = *this;
 *this = __sv;
 __sv = __tmp;
      }



     
      size_type
      copy(_CharT* __str, size_type __n, size_type __pos = 0) const
      {
 ;
 __pos = std::__sv_check(size(), __pos, "basic_string_view::copy");
 const size_type __rlen = std::min<size_t>(__n, _M_len - __pos);


 traits_type::copy(__str, data() + __pos, __rlen);
 return __rlen;
      }

      [[nodiscard]]
      constexpr basic_string_view
      substr(size_type __pos = 0, size_type __n = npos) const noexcept(false)
      {
 __pos = std::__sv_check(size(), __pos, "basic_string_view::substr");
 const size_type __rlen = std::min<size_t>(__n, _M_len - __pos);
 return basic_string_view{_M_str + __pos, __rlen};
      }

      [[nodiscard]]
      constexpr int
      compare(basic_string_view __str) const noexcept
      {
 const size_type __rlen = std::min(this->_M_len, __str._M_len);
 int __ret = traits_type::compare(this->_M_str, __str._M_str, __rlen);
 if (__ret == 0)
   __ret = _S_compare(this->_M_len, __str._M_len);
 return __ret;
      }

      [[nodiscard]]
      constexpr int
      compare(size_type __pos1, size_type __n1, basic_string_view __str) const
      { return this->substr(__pos1, __n1).compare(__str); }

      [[nodiscard]]
      constexpr int
      compare(size_type __pos1, size_type __n1,
       basic_string_view __str, size_type __pos2, size_type __n2) const
      {
 return this->substr(__pos1, __n1).compare(__str.substr(__pos2, __n2));
      }

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr int
      compare(const _CharT* __str) const noexcept
      { return this->compare(basic_string_view{__str}); }

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr int
      compare(size_type __pos1, size_type __n1, const _CharT* __str) const
      { return this->substr(__pos1, __n1).compare(basic_string_view{__str}); }

      [[nodiscard]]
      constexpr int
      compare(size_type __pos1, size_type __n1,
       const _CharT* __str, size_type __n2) const noexcept(false)
      {
 return this->substr(__pos1, __n1)
     .compare(basic_string_view(__str, __n2));
      }
# 446 "/usr/include/c++/13/string_view" 3
      [[nodiscard]]
      constexpr size_type
      find(basic_string_view __str, size_type __pos = 0) const noexcept
      { return this->find(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;

      [[nodiscard]]
      constexpr size_type
      find(const _CharT* __str, size_type __pos, size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      find(const _CharT* __str, size_type __pos = 0) const noexcept
      { return this->find(__str, __pos, traits_type::length(__str)); }

      [[nodiscard]]
      constexpr size_type
      rfind(basic_string_view __str, size_type __pos = npos) const noexcept
      { return this->rfind(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;

      [[nodiscard]]
      constexpr size_type
      rfind(const _CharT* __str, size_type __pos, size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      rfind(const _CharT* __str, size_type __pos = npos) const noexcept
      { return this->rfind(__str, __pos, traits_type::length(__str)); }

      [[nodiscard]]
      constexpr size_type
      find_first_of(basic_string_view __str, size_type __pos = 0) const noexcept
      { return this->find_first_of(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }

      [[nodiscard]]
      constexpr size_type
      find_first_of(const _CharT* __str, size_type __pos,
      size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      find_first_of(const _CharT* __str, size_type __pos = 0) const noexcept
      { return this->find_first_of(__str, __pos, traits_type::length(__str)); }

      [[nodiscard]]
      constexpr size_type
      find_last_of(basic_string_view __str,
     size_type __pos = npos) const noexcept
      { return this->find_last_of(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      find_last_of(_CharT __c, size_type __pos=npos) const noexcept
      { return this->rfind(__c, __pos); }

      [[nodiscard]]
      constexpr size_type
      find_last_of(const _CharT* __str, size_type __pos,
     size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      find_last_of(const _CharT* __str, size_type __pos = npos) const noexcept
      { return this->find_last_of(__str, __pos, traits_type::length(__str)); }

      [[nodiscard]]
      constexpr size_type
      find_first_not_of(basic_string_view __str,
   size_type __pos = 0) const noexcept
      { return this->find_first_not_of(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const noexcept;

      [[nodiscard]]
      constexpr size_type
      find_first_not_of(const _CharT* __str,
   size_type __pos, size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      find_first_not_of(const _CharT* __str, size_type __pos = 0) const noexcept
      {
 return this->find_first_not_of(__str, __pos,
           traits_type::length(__str));
      }

      [[nodiscard]]
      constexpr size_type
      find_last_not_of(basic_string_view __str,
         size_type __pos = npos) const noexcept
      { return this->find_last_not_of(__str._M_str, __pos, __str._M_len); }

      [[nodiscard]]
      constexpr size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const noexcept;

      [[nodiscard]]
      constexpr size_type
      find_last_not_of(const _CharT* __str,
         size_type __pos, size_type __n) const noexcept;

      [[nodiscard, __gnu__::__nonnull__]]
      constexpr size_type
      find_last_not_of(const _CharT* __str,
         size_type __pos = npos) const noexcept
      {
 return this->find_last_not_of(__str, __pos,
          traits_type::length(__str));
      }

    private:

      static constexpr int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 using __limits = __gnu_cxx::__int_traits<int>;
 const difference_type __diff = __n1 - __n2;
 if (__diff > __limits::__max)
   return __limits::__max;
 if (__diff < __limits::__min)
   return __limits::__min;
 return static_cast<int>(__diff);
      }

      size_t _M_len;
      const _CharT* _M_str;
    };
# 606 "/usr/include/c++/13/string_view" 3
  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator==(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator==(basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }
# 639 "/usr/include/c++/13/string_view" 3
  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator==(__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.size() == __y.size() && __x.compare(__y) == 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator!=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator!=(basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator!=(__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return !(__x == __y); }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator< (basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator< (basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator< (__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) < 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator> (basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator> (basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator> (__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) > 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator<=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator<=(basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator<=(__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) <= 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator>=(basic_string_view<_CharT, _Traits> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) >= 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator>=(basic_string_view<_CharT, _Traits> __x,
               __type_identity_t<basic_string_view<_CharT, _Traits>> __y)
    noexcept
    { return __x.compare(__y) >= 0; }

  template<typename _CharT, typename _Traits>
    [[nodiscard]]
    constexpr bool
    operator>=(__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
               basic_string_view<_CharT, _Traits> __y) noexcept
    { return __x.compare(__y) >= 0; }




  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os,
        basic_string_view<_CharT,_Traits> __str)
    { return __ostream_insert(__os, __str.data(), __str.size()); }




  using string_view = basic_string_view<char>;
  using wstring_view = basic_string_view<wchar_t>;



  using u16string_view = basic_string_view<char16_t>;
  using u32string_view = basic_string_view<char32_t>;



  template<typename _Tp>
    struct hash;

  template<>
    struct hash<string_view>
    : public __hash_base<size_t, string_view>
    {
      [[nodiscard]]
      size_t
      operator()(const string_view& __str) const noexcept
      { return std::_Hash_impl::hash(__str.data(), __str.length()); }
    };

  template<>
    struct __is_fast_hash<hash<string_view>> : std::false_type
    { };

  template<>
    struct hash<wstring_view>
    : public __hash_base<size_t, wstring_view>
    {
      [[nodiscard]]
      size_t
      operator()(const wstring_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(wchar_t)); }
    };

  template<>
    struct __is_fast_hash<hash<wstring_view>> : std::false_type
    { };
# 826 "/usr/include/c++/13/string_view" 3
  template<>
    struct hash<u16string_view>
    : public __hash_base<size_t, u16string_view>
    {
      [[nodiscard]]
      size_t
      operator()(const u16string_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char16_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u16string_view>> : std::false_type
    { };

  template<>
    struct hash<u32string_view>
    : public __hash_base<size_t, u32string_view>
    {
      [[nodiscard]]
      size_t
      operator()(const u32string_view& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char32_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u32string_view>> : std::false_type
    { };

  inline namespace literals
  {
  inline namespace string_view_literals
  {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wliteral-suffix"
    inline constexpr basic_string_view<char>
    operator""sv(const char* __str, size_t __len) noexcept
    { return basic_string_view<char>{__str, __len}; }

    inline constexpr basic_string_view<wchar_t>
    operator""sv(const wchar_t* __str, size_t __len) noexcept
    { return basic_string_view<wchar_t>{__str, __len}; }







    inline constexpr basic_string_view<char16_t>
    operator""sv(const char16_t* __str, size_t __len) noexcept
    { return basic_string_view<char16_t>{__str, __len}; }

    inline constexpr basic_string_view<char32_t>
    operator""sv(const char32_t* __str, size_t __len) noexcept
    { return basic_string_view<char32_t>{__str, __len}; }

#pragma GCC diagnostic pop
  }
  }
# 902 "/usr/include/c++/13/string_view" 3

}

# 1 "/usr/include/c++/13/bits/string_view.tcc" 1 3
# 37 "/usr/include/c++/13/bits/string_view.tcc" 3
       
# 38 "/usr/include/c++/13/bits/string_view.tcc" 3



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


  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find(const _CharT* __str, size_type __pos, size_type __n) const noexcept
    {
      ;

      if (__n == 0)
 return __pos <= _M_len ? __pos : npos;
      if (__pos >= _M_len)
 return npos;

      const _CharT __elem0 = __str[0];
      const _CharT* __first = _M_str + __pos;
      const _CharT* const __last = _M_str + _M_len;
      size_type __len = _M_len - __pos;

      while (__len >= __n)
 {

   __first = traits_type::find(__first, __len - __n + 1, __elem0);
   if (!__first)
     return npos;



   if (traits_type::compare(__first, __str, __n) == 0)
     return __first - _M_str;
   __len = __last - ++__first;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find(_CharT __c, size_type __pos) const noexcept
    {
      size_type __ret = npos;
      if (__pos < this->_M_len)
 {
   const size_type __n = this->_M_len - __pos;
   const _CharT* __p = traits_type::find(this->_M_str + __pos, __n, __c);
   if (__p)
     __ret = __p - this->_M_str;
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    rfind(const _CharT* __str, size_type __pos, size_type __n) const noexcept
    {
      ;

      if (__n <= this->_M_len)
 {
   __pos = std::min(size_type(this->_M_len - __n), __pos);
   do
     {
       if (traits_type::compare(this->_M_str + __pos, __str, __n) == 0)
  return __pos;
     }
   while (__pos-- > 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    rfind(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->_M_len;
      if (__size > 0)
 {
   if (--__size > __pos)
     __size = __pos;
   for (++__size; __size-- > 0; )
     if (traits_type::eq(this->_M_str[__size], __c))
       return __size;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_of(const _CharT* __str, size_type __pos,
    size_type __n) const noexcept
    {
      ;
      for (; __n && __pos < this->_M_len; ++__pos)
 {
   const _CharT* __p = traits_type::find(__str, __n,
      this->_M_str[__pos]);
   if (__p)
     return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_of(const _CharT* __str, size_type __pos,
   size_type __n) const noexcept
    {
      ;
      size_type __size = this->size();
      if (__size && __n)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (traits_type::find(__str, __n, this->_M_str[__size]))
  return __size;
     }
   while (__size-- != 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_not_of(const _CharT* __str, size_type __pos,
        size_type __n) const noexcept
    {
      ;
      for (; __pos < this->_M_len; ++__pos)
 if (!traits_type::find(__str, __n, this->_M_str[__pos]))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_first_not_of(_CharT __c, size_type __pos) const noexcept
    {
      for (; __pos < this->_M_len; ++__pos)
 if (!traits_type::eq(this->_M_str[__pos], __c))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_not_of(const _CharT* __str, size_type __pos,
       size_type __n) const noexcept
    {
      ;
      size_type __size = this->_M_len;
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::find(__str, __n, this->_M_str[__size]))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits>
    constexpr typename basic_string_view<_CharT, _Traits>::size_type
    basic_string_view<_CharT, _Traits>::
    find_last_not_of(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->_M_len;
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::eq(this->_M_str[__size], __c))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }


}
# 906 "/usr/include/c++/13/string_view" 2 3
# 48 "/usr/include/c++/13/bits/basic_string.h" 2 3





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

namespace __cxx11 {
# 86 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    class basic_string
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_CharT>::other _Char_alloc_type;

      typedef __gnu_cxx::__alloc_traits<_Char_alloc_type> _Alloc_traits;


    public:
      typedef _Traits traits_type;
      typedef typename _Traits::char_type value_type;
      typedef _Char_alloc_type allocator_type;
      typedef typename _Alloc_traits::size_type size_type;
      typedef typename _Alloc_traits::difference_type difference_type;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;
      typedef typename _Alloc_traits::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef __gnu_cxx::__normal_iterator<pointer, basic_string> iterator;
      typedef __gnu_cxx::__normal_iterator<const_pointer, basic_string>
       const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;


      static const size_type npos = static_cast<size_type>(-1);

    protected:




      typedef const_iterator __const_iterator;


    private:
      static pointer
      _S_allocate(_Char_alloc_type& __a, size_type __n)
      {
 pointer __p = _Alloc_traits::allocate(__a, __n);
# 136 "/usr/include/c++/13/bits/basic_string.h" 3
 return __p;
      }



      typedef basic_string_view<_CharT, _Traits> __sv_type;

      template<typename _Tp, typename _Res>
 using _If_sv = enable_if_t<
   __and_<is_convertible<const _Tp&, __sv_type>,
   __not_<is_convertible<const _Tp*, const basic_string*>>,
   __not_<is_convertible<const _Tp&, const _CharT*>>>::value,
   _Res>;


     
      static __sv_type
      _S_to_string_view(__sv_type __svt) noexcept
      { return __svt; }





      struct __sv_wrapper
      {
 explicit
 __sv_wrapper(__sv_type __sv) noexcept : _M_sv(__sv) { }

 __sv_type _M_sv;
      };







     
      explicit
      basic_string(__sv_wrapper __svw, const _Alloc& __a)
      : basic_string(__svw._M_sv.data(), __svw._M_sv.size(), __a) { }



      struct _Alloc_hider : allocator_type
      {





 _Alloc_hider(pointer __dat, const _Alloc& __a)
 : allocator_type(__a), _M_p(__dat) { }


 _Alloc_hider(pointer __dat, _Alloc&& __a = _Alloc())
 : allocator_type(std::move(__a)), _M_p(__dat) { }


 pointer _M_p;
      };

      _Alloc_hider _M_dataplus;
      size_type _M_string_length;

      enum { _S_local_capacity = 15 / sizeof(_CharT) };

      union
      {
 _CharT _M_local_buf[_S_local_capacity + 1];
 size_type _M_allocated_capacity;
      };

     
      void
      _M_data(pointer __p)
      { _M_dataplus._M_p = __p; }

     
      void
      _M_length(size_type __length)
      { _M_string_length = __length; }

     
      pointer
      _M_data() const
      { return _M_dataplus._M_p; }

     
      pointer
      _M_local_data()
      {

 return std::pointer_traits<pointer>::pointer_to(*_M_local_buf);



      }

     
      const_pointer
      _M_local_data() const
      {

 return std::pointer_traits<const_pointer>::pointer_to(*_M_local_buf);



      }

     
      void
      _M_capacity(size_type __capacity)
      { _M_allocated_capacity = __capacity; }

     
      void
      _M_set_length(size_type __n)
      {
 _M_length(__n);
 traits_type::assign(_M_data()[__n], _CharT());
      }

     
      bool
      _M_is_local() const
      {
 if (_M_data() == _M_local_data())
   {
     if (_M_string_length > _S_local_capacity)
       __builtin_unreachable();
     return true;
   }
 return false;
      }


     
      pointer
      _M_create(size_type&, size_type);

     
      void
      _M_dispose()
      {
 if (!_M_is_local())
   _M_destroy(_M_allocated_capacity);
      }

     
      void
      _M_destroy(size_type __size) throw()
      { _Alloc_traits::deallocate(_M_get_allocator(), _M_data(), __size + 1); }
# 316 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _InIterator>

        void
        _M_construct(_InIterator __beg, _InIterator __end,
       std::input_iterator_tag);



      template<typename _FwdIterator>

        void
        _M_construct(_FwdIterator __beg, _FwdIterator __end,
       std::forward_iterator_tag);

     
      void
      _M_construct(size_type __req, _CharT __c);

     
      allocator_type&
      _M_get_allocator()
      { return _M_dataplus; }

     
      const allocator_type&
      _M_get_allocator() const
      { return _M_dataplus; }


      __attribute__((__always_inline__))
      constexpr
      void
      _M_init_local_buf() noexcept
      {





      }

      __attribute__((__always_inline__))
      constexpr
      pointer
      _M_use_local_data() noexcept
      {



 return _M_local_data();
      }

    private:
# 384 "/usr/include/c++/13/bits/basic_string.h" 3
     
      size_type
      _M_check(size_type __pos, const char* __s) const
      {
 if (__pos > this->size())
   __throw_out_of_range_fmt(("%s: __pos (which is %zu) > " "this->size() (which is %zu)")
                                         ,
       __s, __pos, this->size());
 return __pos;
      }

     
      void
      _M_check_length(size_type __n1, size_type __n2, const char* __s) const
      {
 if (this->max_size() - (this->size() - __n1) < __n2)
   __throw_length_error((__s));
      }



     
      size_type
      _M_limit(size_type __pos, size_type __off) const noexcept
      {
 const bool __testoff = __off < this->size() - __pos;
 return __testoff ? __off : this->size() - __pos;
      }


      bool
      _M_disjunct(const _CharT* __s) const noexcept
      {
 return (less<const _CharT*>()(__s, _M_data())
  || less<const _CharT*>()(_M_data() + this->size(), __s));
      }



     
      static void
      _S_copy(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::copy(__d, __s, __n);
      }

     
      static void
      _S_move(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::move(__d, __s, __n);
      }

     
      static void
      _S_assign(_CharT* __d, size_type __n, _CharT __c)
      {
 if (__n == 1)
   traits_type::assign(*__d, __c);
 else
   traits_type::assign(__d, __n, __c);
      }



      template<class _Iterator>

        static void
        _S_copy_chars(_CharT* __p, _Iterator __k1, _Iterator __k2)
        {
   for (; __k1 != __k2; ++__k1, (void)++__p)
     traits_type::assign(*__p, *__k1);
 }

     
      static void
      _S_copy_chars(_CharT* __p, iterator __k1, iterator __k2) noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

     
      static void
      _S_copy_chars(_CharT* __p, const_iterator __k1, const_iterator __k2)
      noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

     
      static void
      _S_copy_chars(_CharT* __p, _CharT* __k1, _CharT* __k2) noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

     
      static void
      _S_copy_chars(_CharT* __p, const _CharT* __k1, const _CharT* __k2)
      noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

     
      static int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 const difference_type __d = difference_type(__n1 - __n2);

 if (__d > __gnu_cxx::__numeric_traits<int>::__max)
   return __gnu_cxx::__numeric_traits<int>::__max;
 else if (__d < __gnu_cxx::__numeric_traits<int>::__min)
   return __gnu_cxx::__numeric_traits<int>::__min;
 else
   return int(__d);
      }

     
      void
      _M_assign(const basic_string&);

     
      void
      _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
  size_type __len2);

     
      void
      _M_erase(size_type __pos, size_type __n);

    public:







     
      basic_string()
      noexcept(is_nothrow_default_constructible<_Alloc>::value)
      : _M_dataplus(_M_local_data())
      {
 _M_init_local_buf();
 _M_set_length(0);
      }




     
      explicit
      basic_string(const _Alloc& __a) noexcept
      : _M_dataplus(_M_local_data(), __a)
      {
 _M_init_local_buf();
 _M_set_length(0);
      }





     
      basic_string(const basic_string& __str)
      : _M_dataplus(_M_local_data(),
      _Alloc_traits::_S_select_on_copy(__str._M_get_allocator()))
      {
 _M_construct(__str._M_data(), __str._M_data() + __str.length(),
       std::forward_iterator_tag());
      }
# 563 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string(const basic_string& __str, size_type __pos,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, npos),
       std::forward_iterator_tag());
      }







     
      basic_string(const basic_string& __str, size_type __pos,
     size_type __n)
      : _M_dataplus(_M_local_data())
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n),
       std::forward_iterator_tag());
      }
# 598 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string(const basic_string& __str, size_type __pos,
     size_type __n, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start
   = __str._M_data() + __str._M_check(__pos, "string::string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n),
       std::forward_iterator_tag());
      }
# 618 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string(const _CharT* __s, size_type __n,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {

 if (__s == 0 && __n > 0)
   std::__throw_logic_error(("basic_string: " "construction from null is not valid")
                                                 );
 _M_construct(__s, __s + __n, std::forward_iterator_tag());
      }
# 638 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename = _RequireAllocator<_Alloc>>

     
      basic_string(const _CharT* __s, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {

 if (__s == 0)
   std::__throw_logic_error(("basic_string: " "construction from null is not valid")
                                                 );
 const _CharT* __end = __s + traits_type::length(__s);
 _M_construct(__s, __end, forward_iterator_tag());
      }
# 661 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename = _RequireAllocator<_Alloc>>

     
      basic_string(size_type __n, _CharT __c, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__n, __c); }
# 676 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string(basic_string&& __str) noexcept
      : _M_dataplus(_M_local_data(), std::move(__str._M_get_allocator()))
      {
 if (__str._M_is_local())
   {
     _M_init_local_buf();
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         __str.length() + 1);
   }
 else
   {
     _M_data(__str._M_data());
     _M_capacity(__str._M_allocated_capacity);
   }




 _M_length(__str.length());
 __str._M_data(__str._M_use_local_data());
 __str._M_set_length(0);
      }






     
      basic_string(initializer_list<_CharT> __l, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__l.begin(), __l.end(), std::forward_iterator_tag()); }

     
      basic_string(const basic_string& __str, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__str.begin(), __str.end(), std::forward_iterator_tag()); }

     
      basic_string(basic_string&& __str, const _Alloc& __a)
      noexcept(_Alloc_traits::_S_always_equal())
      : _M_dataplus(_M_local_data(), __a)
      {
 if (__str._M_is_local())
   {
     _M_init_local_buf();
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         __str.length() + 1);
     _M_length(__str.length());
     __str._M_set_length(0);
   }
 else if (_Alloc_traits::_S_always_equal()
     || __str.get_allocator() == __a)
   {
     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     __str._M_data(__str._M_use_local_data());
     __str._M_set_length(0);
   }
 else
   _M_construct(__str.begin(), __str.end(), std::forward_iterator_tag());
      }
# 754 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>




        basic_string(_InputIterator __beg, _InputIterator __end,
       const _Alloc& __a = _Alloc())
 : _M_dataplus(_M_local_data(), __a), _M_string_length(0)
 {

   _M_construct(__beg, __end, std::__iterator_category(__beg));




 }
# 780 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp,
        typename = enable_if_t<is_convertible_v<const _Tp&, __sv_type>>>

 basic_string(const _Tp& __t, size_type __pos, size_type __n,
       const _Alloc& __a = _Alloc())
 : basic_string(_S_to_string_view(__t).substr(__pos, __n), __a) { }






      template<typename _Tp, typename = _If_sv<_Tp, void>>

 explicit
 basic_string(const _Tp& __t, const _Alloc& __a = _Alloc())
 : basic_string(__sv_wrapper(_S_to_string_view(__t)), __a) { }





     
      ~basic_string()
      { _M_dispose(); }





     
      basic_string&
      operator=(const basic_string& __str)
      {
 return this->assign(__str);
      }





     
      basic_string&
      operator=(const _CharT* __s)
      { return this->assign(__s); }
# 833 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      operator=(_CharT __c)
      {
 this->assign(1, __c);
 return *this;
      }
# 851 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      operator=(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {
 const bool __equal_allocs = _Alloc_traits::_S_always_equal()
   || _M_get_allocator() == __str._M_get_allocator();
 if (!_M_is_local() && _Alloc_traits::_S_propagate_on_move_assign()
     && !__equal_allocs)
   {

     _M_destroy(_M_allocated_capacity);
     _M_data(_M_local_data());
     _M_set_length(0);
   }

 std::__alloc_on_move(_M_get_allocator(), __str._M_get_allocator());

 if (__str._M_is_local())
   {



     if (__builtin_expect(std::__addressof(__str) != this, true))
       {
  if (__str.size())
    this->_S_copy(_M_data(), __str._M_data(), __str.size());
  _M_set_length(__str.size());
       }
   }
 else if (_Alloc_traits::_S_propagate_on_move_assign() || __equal_allocs)
   {

     pointer __data = nullptr;
     size_type __capacity;
     if (!_M_is_local())
       {
  if (__equal_allocs)
    {

      __data = _M_data();
      __capacity = _M_allocated_capacity;
    }
  else
    _M_destroy(_M_allocated_capacity);
       }

     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     if (__data)
       {
  __str._M_data(__data);
  __str._M_capacity(__capacity);
       }
     else
       __str._M_data(__str._M_use_local_data());
   }
 else
   assign(__str);
 __str.clear();
 return *this;
      }





     
      basic_string&
      operator=(initializer_list<_CharT> __l)
      {
 this->assign(__l.begin(), __l.size());
 return *this;
      }







     template<typename _Tp>
      
       _If_sv<_Tp, basic_string&>
       operator=(const _Tp& __svt)
       { return this->assign(__svt); }





     
      operator __sv_type() const noexcept
      { return __sv_type(data(), size()); }







      [[__nodiscard__]]
      iterator
      begin() noexcept
      { return iterator(_M_data()); }





      [[__nodiscard__]]
      const_iterator
      begin() const noexcept
      { return const_iterator(_M_data()); }





      [[__nodiscard__]]
      iterator
      end() noexcept
      { return iterator(_M_data() + this->size()); }





      [[__nodiscard__]]
      const_iterator
      end() const noexcept
      { return const_iterator(_M_data() + this->size()); }






      [[__nodiscard__]]
      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(this->end()); }






      [[__nodiscard__]]
      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      [[__nodiscard__]]
      reverse_iterator
      rend() noexcept
      { return reverse_iterator(this->begin()); }






      [[__nodiscard__]]
      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }






      [[__nodiscard__]]
      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_data()); }





      [[__nodiscard__]]
      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_data() + this->size()); }






      [[__nodiscard__]]
      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      [[__nodiscard__]]
      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }


    public:



      [[__nodiscard__]]
      size_type
      size() const noexcept
      { return _M_string_length; }



      [[__nodiscard__]]
      size_type
      length() const noexcept
      { return _M_string_length; }


      [[__nodiscard__]]
      size_type
      max_size() const noexcept
      { return (_Alloc_traits::max_size(_M_get_allocator()) - 1) / 2; }
# 1097 "/usr/include/c++/13/bits/basic_string.h" 3
     
      void
      resize(size_type __n, _CharT __c);
# 1111 "/usr/include/c++/13/bits/basic_string.h" 3
     
      void
      resize(size_type __n)
      { this->resize(__n, _CharT()); }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

     
      void
      shrink_to_fit() noexcept
      { reserve(); }
#pragma GCC diagnostic pop
# 1167 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      capacity() const noexcept
      {
 return _M_is_local() ? size_type(_S_local_capacity)
                      : _M_allocated_capacity;
      }
# 1192 "/usr/include/c++/13/bits/basic_string.h" 3
     
      void
      reserve(size_type __res_arg);







     
      void
      reserve();




     
      void
      clear() noexcept
      { _M_set_length(0); }





      [[__nodiscard__]]
      bool
      empty() const noexcept
      { return this->size() == 0; }
# 1234 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      const_reference
      operator[] (size_type __pos) const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(__pos <= size())) __builtin_unreachable(); } while (false);
 return _M_data()[__pos];
      }
# 1252 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      reference
      operator[](size_type __pos)
      {


 do { if (std::__is_constant_evaluated() && !bool(__pos <= size())) __builtin_unreachable(); } while (false);

 ;
 return _M_data()[__pos];
      }
# 1274 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      const_reference
      at(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }
# 1296 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      reference
      at(size_type __n)
      {
 if (__n >= size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }






      [[__nodiscard__]]
      reference
      front() noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(!empty())) __builtin_unreachable(); } while (false);
 return operator[](0);
      }





      [[__nodiscard__]]
      const_reference
      front() const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(!empty())) __builtin_unreachable(); } while (false);
 return operator[](0);
      }





      [[__nodiscard__]]
      reference
      back() noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(!empty())) __builtin_unreachable(); } while (false);
 return operator[](this->size() - 1);
      }





      [[__nodiscard__]]
      const_reference
      back() const noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(!empty())) __builtin_unreachable(); } while (false);
 return operator[](this->size() - 1);
      }
# 1364 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      operator+=(const basic_string& __str)
      { return this->append(__str); }






     
      basic_string&
      operator+=(const _CharT* __s)
      { return this->append(__s); }






     
      basic_string&
      operator+=(_CharT __c)
      {
 this->push_back(__c);
 return *this;
      }







     
      basic_string&
      operator+=(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1410 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 operator+=(const _Tp& __svt)
 { return this->append(__svt); }







     
      basic_string&
      append(const basic_string& __str)
      { return this->append(__str._M_data(), __str.size()); }
# 1440 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      append(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return this->append(__str._M_data()
       + __str._M_check(__pos, "basic_string::append"),
       __str._M_limit(__pos, __n)); }







     
      basic_string&
      append(const _CharT* __s, size_type __n)
      {
 ;
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }






     
      basic_string&
      append(const _CharT* __s)
      {
 ;
 const size_type __n = traits_type::length(__s);
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }
# 1485 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      append(size_type __n, _CharT __c)
      { return _M_replace_aux(this->size(), size_type(0), __n, __c); }







     
      basic_string&
      append(initializer_list<_CharT> __l)
      { return this->append(__l.begin(), __l.size()); }
# 1511 "/usr/include/c++/13/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>




        basic_string&
        append(_InputIterator __first, _InputIterator __last)
        { return this->replace(end(), end(), __first, __last); }







      template<typename _Tp>

        _If_sv<_Tp, basic_string&>
        append(const _Tp& __svt)
        {
          __sv_type __sv = __svt;
          return this->append(__sv.data(), __sv.size());
        }
# 1543 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

        _If_sv<_Tp, basic_string&>
 append(const _Tp& __svt, size_type __pos, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return _M_append(__sv.data()
       + std::__sv_check(__sv.size(), __pos, "basic_string::append"),
       std::__sv_limit(__sv.size(), __pos, __n));
 }






     
      void
      push_back(_CharT __c)
      {
 const size_type __size = this->size();
 if (__size + 1 > this->capacity())
   this->_M_mutate(__size, size_type(0), 0, size_type(1));
 traits_type::assign(this->_M_data()[__size], __c);
 this->_M_set_length(__size + 1);
      }






     
      basic_string&
      assign(const basic_string& __str)
      {

 if (_Alloc_traits::_S_propagate_on_copy_assign())
   {
     if (!_Alloc_traits::_S_always_equal() && !_M_is_local()
  && _M_get_allocator() != __str._M_get_allocator())
       {


  if (__str.size() <= _S_local_capacity)
    {
      _M_destroy(_M_allocated_capacity);
      _M_data(_M_use_local_data());
      _M_set_length(0);
    }
  else
    {
      const auto __len = __str.size();
      auto __alloc = __str._M_get_allocator();

      auto __ptr = _S_allocate(__alloc, __len + 1);
      _M_destroy(_M_allocated_capacity);
      _M_data(__ptr);
      _M_capacity(__len);
      _M_set_length(__len);
    }
       }
     std::__alloc_on_copy(_M_get_allocator(), __str._M_get_allocator());
   }

 this->_M_assign(__str);
 return *this;
      }
# 1621 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      assign(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {


 return *this = std::move(__str);
      }
# 1645 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      assign(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_replace(size_type(0), this->size(), __str._M_data()
     + __str._M_check(__pos, "basic_string::assign"),
     __str._M_limit(__pos, __n)); }
# 1662 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      assign(const _CharT* __s, size_type __n)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s, __n);
      }
# 1679 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      assign(const _CharT* __s)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s,
     traits_type::length(__s));
      }
# 1697 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      assign(size_type __n, _CharT __c)
      { return _M_replace_aux(size_type(0), this->size(), __n, __c); }
# 1711 "/usr/include/c++/13/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>




        basic_string&
        assign(_InputIterator __first, _InputIterator __last)
        { return this->replace(begin(), end(), __first, __last); }







     
      basic_string&
      assign(initializer_list<_CharT> __l)
      { return this->assign(__l.begin(), __l.size()); }
# 1739 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 assign(const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->assign(__sv.data(), __sv.size());
 }
# 1755 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 assign(const _Tp& __svt, size_type __pos, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return _M_replace(size_type(0), this->size(),
       __sv.data()
       + std::__sv_check(__sv.size(), __pos, "basic_string::assign"),
       std::__sv_limit(__sv.size(), __pos, __n));
 }
# 1784 "/usr/include/c++/13/bits/basic_string.h" 3
     
      iterator
      insert(const_iterator __p, size_type __n, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 this->replace(__p, __p, __n, __c);
 return iterator(this->_M_data() + __pos);
      }
# 1827 "/usr/include/c++/13/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>

 iterator
        insert(const_iterator __p, _InputIterator __beg, _InputIterator __end)
        {
   ;
   const size_type __pos = __p - begin();
   this->replace(__p, __p, __beg, __end);
   return iterator(this->_M_data() + __pos);
 }
# 1864 "/usr/include/c++/13/bits/basic_string.h" 3
     
      iterator
      insert(const_iterator __p, initializer_list<_CharT> __l)
      { return this->insert(__p, __l.begin(), __l.end()); }
# 1892 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      insert(size_type __pos1, const basic_string& __str)
      { return this->replace(__pos1, size_type(0),
        __str._M_data(), __str.size()); }
# 1916 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      insert(size_type __pos1, const basic_string& __str,
      size_type __pos2, size_type __n = npos)
      { return this->replace(__pos1, size_type(0), __str._M_data()
        + __str._M_check(__pos2, "basic_string::insert"),
        __str._M_limit(__pos2, __n)); }
# 1940 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      insert(size_type __pos, const _CharT* __s, size_type __n)
      { return this->replace(__pos, size_type(0), __s, __n); }
# 1960 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      insert(size_type __pos, const _CharT* __s)
      {
 ;
 return this->replace(__pos, size_type(0), __s,
        traits_type::length(__s));
      }
# 1985 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      insert(size_type __pos, size_type __n, _CharT __c)
      { return _M_replace_aux(_M_check(__pos, "basic_string::insert"),
         size_type(0), __n, __c); }
# 2004 "/usr/include/c++/13/bits/basic_string.h" 3
     
      iterator
      insert(__const_iterator __p, _CharT __c)
      {
 ;
 const size_type __pos = __p - begin();
 _M_replace_aux(__pos, size_type(0), size_type(1), __c);
 return iterator(_M_data() + __pos);
      }
# 2021 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 insert(size_type __pos, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->insert(__pos, __sv.data(), __sv.size());
 }
# 2038 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 insert(size_type __pos1, const _Tp& __svt,
        size_type __pos2, size_type __n = npos)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos1, size_type(0),
       __sv.data()
       + std::__sv_check(__sv.size(), __pos2, "basic_string::insert"),
       std::__sv_limit(__sv.size(), __pos2, __n));
 }
# 2067 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      erase(size_type __pos = 0, size_type __n = npos)
      {
 _M_check(__pos, "basic_string::erase");
 if (__n == npos)
   this->_M_set_length(__pos);
 else if (__n != 0)
   this->_M_erase(__pos, _M_limit(__pos, __n));
 return *this;
      }
# 2087 "/usr/include/c++/13/bits/basic_string.h" 3
     
      iterator
      erase(__const_iterator __position)
      {

                           ;
 const size_type __pos = __position - begin();
 this->_M_erase(__pos, size_type(1));
 return iterator(_M_data() + __pos);
      }
# 2107 "/usr/include/c++/13/bits/basic_string.h" 3
     
      iterator
      erase(__const_iterator __first, __const_iterator __last)
      {

                        ;
        const size_type __pos = __first - begin();
 if (__last == end())
   this->_M_set_length(__pos);
 else
   this->_M_erase(__pos, __last - __first);
 return iterator(this->_M_data() + __pos);
      }







     
      void
      pop_back() noexcept
      {
 do { if (std::__is_constant_evaluated() && !bool(!empty())) __builtin_unreachable(); } while (false);
 _M_erase(size() - 1, 1);
      }
# 2153 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(size_type __pos, size_type __n, const basic_string& __str)
      { return this->replace(__pos, __n, __str._M_data(), __str.size()); }
# 2176 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos)
      { return this->replace(__pos1, __n1, __str._M_data()
        + __str._M_check(__pos2, "basic_string::replace"),
        __str._M_limit(__pos2, __n2)); }
# 2202 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2)
      {
 ;
 return _M_replace(_M_check(__pos, "basic_string::replace"),
     _M_limit(__pos, __n1), __s, __n2);
      }
# 2228 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(size_type __pos, size_type __n1, const _CharT* __s)
      {
 ;
 return this->replace(__pos, __n1, __s, traits_type::length(__s));
      }
# 2253 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(size_type __pos, size_type __n1, size_type __n2, _CharT __c)
      { return _M_replace_aux(_M_check(__pos, "basic_string::replace"),
         _M_limit(__pos, __n1), __n2, __c); }
# 2272 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const basic_string& __str)
      { return this->replace(__i1, __i2, __str._M_data(), __str.size()); }
# 2293 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __s, size_type __n)
      {

                      ;
 return this->replace(__i1 - begin(), __i2 - __i1, __s, __n);
      }
# 2316 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, const _CharT* __s)
      {
 ;
 return this->replace(__i1, __i2, __s, traits_type::length(__s));
      }
# 2338 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2, size_type __n,
       _CharT __c)
      {

                      ;
 return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __c);
      }
# 2364 "/usr/include/c++/13/bits/basic_string.h" 3
      template<class _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>

        basic_string&
        replace(const_iterator __i1, const_iterator __i2,
  _InputIterator __k1, _InputIterator __k2)
        {
  
                        ;
   ;
   return this->_M_replace_dispatch(__i1, __i2, __k1, __k2,
        std::__false_type());
 }
# 2397 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       _CharT* __k1, _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const _CharT* __k1, const _CharT* __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1, __k2 - __k1);
      }

     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       iterator __k1, iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }

     
      basic_string&
      replace(__const_iterator __i1, __const_iterator __i2,
       const_iterator __k1, const_iterator __k2)
      {

                      ;
 ;
 return this->replace(__i1 - begin(), __i2 - __i1,
        __k1.base(), __k2 - __k1);
      }
# 2460 "/usr/include/c++/13/bits/basic_string.h" 3
     
      basic_string& replace(const_iterator __i1, const_iterator __i2,
       initializer_list<_CharT> __l)
      { return this->replace(__i1, __i2, __l.begin(), __l.size()); }
# 2474 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 replace(size_type __pos, size_type __n, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos, __n, __sv.data(), __sv.size());
 }
# 2492 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 replace(size_type __pos1, size_type __n1, const _Tp& __svt,
  size_type __pos2, size_type __n2 = npos)
 {
   __sv_type __sv = __svt;
   return this->replace(__pos1, __n1,
       __sv.data()
       + std::__sv_check(__sv.size(), __pos2, "basic_string::replace"),
       std::__sv_limit(__sv.size(), __pos2, __n2));
 }
# 2514 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>

 _If_sv<_Tp, basic_string&>
 replace(const_iterator __i1, const_iterator __i2, const _Tp& __svt)
 {
   __sv_type __sv = __svt;
   return this->replace(__i1 - begin(), __i2 - __i1, __sv);
 }


    private:
      template<class _Integer>

 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _Integer __n, _Integer __val, __true_type)
        { return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __val); }

      template<class _InputIterator>

 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _InputIterator __k1, _InputIterator __k2,
       __false_type);

     
      basic_string&
      _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
       _CharT __c);

      __attribute__((__noinline__, __noclone__, __cold__)) void
      _M_replace_cold(pointer __p, size_type __len1, const _CharT* __s,
        const size_type __len2, const size_type __how_much);

     
      basic_string&
      _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
   const size_type __len2);

     
      basic_string&
      _M_append(const _CharT* __s, size_type __n);

    public:
# 2571 "/usr/include/c++/13/bits/basic_string.h" 3
     
      size_type
      copy(_CharT* __s, size_type __n, size_type __pos = 0) const;
# 2582 "/usr/include/c++/13/bits/basic_string.h" 3
     
      void
      swap(basic_string& __s) noexcept;
# 2593 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      const _CharT*
      c_str() const noexcept
      { return _M_data(); }
# 2606 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      const _CharT*
      data() const noexcept
      { return _M_data(); }
# 2618 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      _CharT*
      data() noexcept
      { return _M_data(); }





      [[__nodiscard__]]
      allocator_type
      get_allocator() const noexcept
      { return _M_get_allocator(); }
# 2644 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2659 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find(__str.data(), __pos, __str.size()); }
# 2672 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 find(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find(__sv.data(), __pos, __sv.size());
 }
# 2693 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find(const _CharT* __s, size_type __pos = 0) const noexcept
      {
 ;
 return this->find(__s, __pos, traits_type::length(__s));
      }
# 2711 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;
# 2725 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      rfind(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->rfind(__str.data(), __pos, __str.size()); }
# 2738 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 rfind(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->rfind(__sv.data(), __pos, __sv.size());
 }
# 2761 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      rfind(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2776 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      rfind(const _CharT* __s, size_type __pos = npos) const
      {
 ;
 return this->rfind(__s, __pos, traits_type::length(__s));
      }
# 2794 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;
# 2809 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_of(__str.data(), __pos, __str.size()); }
# 2823 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 find_first_of(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_first_of(__sv.data(), __pos, __sv.size());
 }
# 2846 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2861 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_of(__s, __pos, traits_type::length(__s));
      }
# 2882 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }
# 2898 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_of(__str.data(), __pos, __str.size()); }
# 2912 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 find_last_of(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_last_of(__sv.data(), __pos, __sv.size());
 }
# 2935 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2950 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_of(__s, __pos, traits_type::length(__s));
      }
# 2971 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_of(_CharT __c, size_type __pos = npos) const noexcept
      { return this->rfind(__c, __pos); }
# 2986 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_not_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_not_of(__str.data(), __pos, __str.size()); }
# 3000 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 find_first_not_of(const _Tp& __svt, size_type __pos = 0) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_first_not_of(__sv.data(), __pos, __sv.size());
 }
# 3023 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos,
   size_type __n) const noexcept;
# 3038 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_not_of(__s, __pos, traits_type::length(__s));
      }
# 3057 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const
      noexcept;
# 3073 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_not_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_not_of(__str.data(), __pos, __str.size()); }
# 3087 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, size_type>
 find_last_not_of(const _Tp& __svt, size_type __pos = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return this->find_last_not_of(__sv.data(), __pos, __sv.size());
 }
# 3110 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos,
         size_type __n) const noexcept;
# 3125 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_not_of(__s, __pos, traits_type::length(__s));
      }
# 3144 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const
      noexcept;
# 3161 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      basic_string
      substr(size_type __pos = 0, size_type __n = npos) const
      { return basic_string(*this,
       _M_check(__pos, "basic_string::substr"), __n); }
# 3181 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(const basic_string& __str) const
      {
 const size_type __size = this->size();
 const size_type __osize = __str.size();
 const size_type __len = std::min(__size, __osize);

 int __r = traits_type::compare(_M_data(), __str.data(), __len);
 if (!__r)
   __r = _S_compare(__size, __osize);
 return __r;
      }







      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, int>
 compare(const _Tp& __svt) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   const size_type __size = this->size();
   const size_type __osize = __sv.size();
   const size_type __len = std::min(__size, __osize);

   int __r = traits_type::compare(_M_data(), __sv.data(), __len);
   if (!__r)
     __r = _S_compare(__size, __osize);
   return __r;
 }
# 3226 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, int>
 compare(size_type __pos, size_type __n, const _Tp& __svt) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return __sv_type(*this).substr(__pos, __n).compare(__sv);
 }
# 3246 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename _Tp>
 [[__nodiscard__]]
 _If_sv<_Tp, int>
 compare(size_type __pos1, size_type __n1, const _Tp& __svt,
  size_type __pos2, size_type __n2 = npos) const
 noexcept(is_same<_Tp, __sv_type>::value)
 {
   __sv_type __sv = __svt;
   return __sv_type(*this)
     .substr(__pos1, __n1).compare(__sv.substr(__pos2, __n2));
 }
# 3278 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(size_type __pos, size_type __n, const basic_string& __str) const
      {
 _M_check(__pos, "basic_string::compare");
 __n = _M_limit(__pos, __n);
 const size_type __osize = __str.size();
 const size_type __len = std::min(__n, __osize);
 int __r = traits_type::compare(_M_data() + __pos, __str.data(), __len);
 if (!__r)
   __r = _S_compare(__n, __osize);
 return __r;
      }
# 3315 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos) const
      {
 _M_check(__pos1, "basic_string::compare");
 __str._M_check(__pos2, "basic_string::compare");
 __n1 = _M_limit(__pos1, __n1);
 __n2 = __str._M_limit(__pos2, __n2);
 const size_type __len = std::min(__n1, __n2);
 int __r = traits_type::compare(_M_data() + __pos1,
           __str.data() + __pos2, __len);
 if (!__r)
   __r = _S_compare(__n1, __n2);
 return __r;
      }
# 3346 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(const _CharT* __s) const noexcept
      {
 ;
 const size_type __size = this->size();
 const size_type __osize = traits_type::length(__s);
 const size_type __len = std::min(__size, __osize);
 int __r = traits_type::compare(_M_data(), __s, __len);
 if (!__r)
   __r = _S_compare(__size, __osize);
 return __r;
      }
# 3381 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s) const
      {
 ;
 _M_check(__pos, "basic_string::compare");
 __n1 = _M_limit(__pos, __n1);
 const size_type __osize = traits_type::length(__s);
 const size_type __len = std::min(__n1, __osize);
 int __r = traits_type::compare(_M_data() + __pos, __s, __len);
 if (!__r)
   __r = _S_compare(__n1, __osize);
 return __r;
      }
# 3420 "/usr/include/c++/13/bits/basic_string.h" 3
      [[__nodiscard__]]
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2) const
      {
 ;
 _M_check(__pos, "basic_string::compare");
 __n1 = _M_limit(__pos, __n1);
 const size_type __len = std::min(__n1, __n2);
 int __r = traits_type::compare(_M_data() + __pos, __s, __len);
 if (!__r)
   __r = _S_compare(__n1, __n2);
 return __r;
      }
# 3485 "/usr/include/c++/13/bits/basic_string.h" 3
      template<typename, typename, typename> friend class basic_stringbuf;
    };
}

}


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



namespace __cxx11 {
  template<typename _InputIterator, typename _CharT
      = typename iterator_traits<_InputIterator>::value_type,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(_InputIterator, _InputIterator, _Allocator = _Allocator())
      -> basic_string<_CharT, char_traits<_CharT>, _Allocator>;



  template<typename _CharT, typename _Traits,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(basic_string_view<_CharT, _Traits>, const _Allocator& = _Allocator())
      -> basic_string<_CharT, _Traits, _Allocator>;

  template<typename _CharT, typename _Traits,
    typename _Allocator = allocator<_CharT>,
    typename = _RequireAllocator<_Allocator>>
    basic_string(basic_string_view<_CharT, _Traits>,
   typename basic_string<_CharT, _Traits, _Allocator>::size_type,
   typename basic_string<_CharT, _Traits, _Allocator>::size_type,
   const _Allocator& = _Allocator())
      -> basic_string<_CharT, _Traits, _Allocator>;
}


  template<typename _Str>
   
    inline _Str
    __str_concat(typename _Str::value_type const* __lhs,
   typename _Str::size_type __lhs_len,
   typename _Str::value_type const* __rhs,
   typename _Str::size_type __rhs_len,
   typename _Str::allocator_type const& __a)
    {
      typedef typename _Str::allocator_type allocator_type;
      typedef __gnu_cxx::__alloc_traits<allocator_type> _Alloc_traits;
      _Str __str(_Alloc_traits::_S_select_on_copy(__a));
      __str.reserve(__lhs_len + __rhs_len);
      __str.append(__lhs, __lhs_len);
      __str.append(__rhs, __rhs_len);
      return __str;
    }
# 3550 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> _Str;
      return std::__str_concat<_Str>(__lhs.c_str(), __lhs.size(),
         __rhs.c_str(), __rhs.size(),
         __lhs.get_allocator());
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT,_Traits,_Alloc>
    operator+(const _CharT* __lhs,
       const basic_string<_CharT,_Traits,_Alloc>& __rhs)
    {
      ;
      typedef basic_string<_CharT, _Traits, _Alloc> _Str;
      return std::__str_concat<_Str>(__lhs, _Traits::length(__lhs),
         __rhs.c_str(), __rhs.size(),
         __rhs.get_allocator());
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT,_Traits,_Alloc>
    operator+(_CharT __lhs, const basic_string<_CharT,_Traits,_Alloc>& __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> _Str;
      return std::__str_concat<_Str>(__builtin_addressof(__lhs), 1,
         __rhs.c_str(), __rhs.size(),
         __rhs.get_allocator());
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    {
      ;
      typedef basic_string<_CharT, _Traits, _Alloc> _Str;
      return std::__str_concat<_Str>(__lhs.c_str(), __lhs.size(),
         __rhs, _Traits::length(__rhs),
         __lhs.get_allocator());
    }






  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs, _CharT __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> _Str;
      return std::__str_concat<_Str>(__lhs.c_str(), __lhs.size(),
         __builtin_addressof(__rhs), 1,
         __lhs.get_allocator());
    }


  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    {

      using _Alloc_traits = allocator_traits<_Alloc>;
      bool __use_rhs = false;
      if constexpr (typename _Alloc_traits::is_always_equal{})
 __use_rhs = true;
      else if (__lhs.get_allocator() == __rhs.get_allocator())
 __use_rhs = true;
      if (__use_rhs)

 {
   const auto __size = __lhs.size() + __rhs.size();
   if (__size > __lhs.capacity() && __size <= __rhs.capacity())
     return std::move(__rhs.insert(0, __lhs));
 }
      return std::move(__lhs.append(__rhs));
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]] [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, 1, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const _CharT* __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       _CharT __rhs)
    { return std::move(__lhs.append(1, __rhs)); }
# 3707 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    {
      return __lhs.size() == __rhs.size()
        && !_Traits::compare(__lhs.data(), __rhs.data(), __lhs.size());
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    {
      return __lhs.size() == _Traits::length(__rhs)
        && !_Traits::compare(__lhs.data(), __rhs, __lhs.size());
    }
# 3771 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator==(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs == __lhs; }
# 3785 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return !(__lhs == __rhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator!=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return !(__rhs == __lhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return !(__lhs == __rhs); }
# 3826 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) > 0; }
# 3867 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) < 0; }
# 3908 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator<=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) >= 0; }
# 3949 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    [[__nodiscard__]]
    inline bool
    operator>=(const _CharT* __lhs,
      const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) <= 0; }
# 3991 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
   
    inline void
    swap(basic_string<_CharT, _Traits, _Alloc>& __lhs,
  basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept(noexcept(__lhs.swap(__rhs)))
    { __lhs.swap(__rhs); }
# 4012 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __is,
        basic_string<_CharT, _Traits, _Alloc>& __str);

  template<>
    basic_istream<char>&
    operator>>(basic_istream<char>& __is, basic_string<char>& __str);
# 4030 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os,
        const basic_string<_CharT, _Traits, _Alloc>& __str)
    {


      return __ostream_insert(__os, __str.data(), __str.size());
    }
# 4053 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim);
# 4070 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str)
    { return std::getline(__is, __str, __is.widen('\n')); }



  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>&& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    { return std::getline(__is, __str, __delim); }


  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>&& __is,
     basic_string<_CharT, _Traits, _Alloc>& __str)
    { return std::getline(__is, __str); }


  template<>
    basic_istream<char>&
    getline(basic_istream<char>& __in, basic_string<char>& __str,
     char __delim);


  template<>
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>& __in, basic_string<wchar_t>& __str,
     wchar_t __delim);



}



# 1 "/usr/include/c++/13/ext/string_conversions.h" 1 3
# 32 "/usr/include/c++/13/ext/string_conversions.h" 3
       
# 33 "/usr/include/c++/13/ext/string_conversions.h" 3
# 43 "/usr/include/c++/13/ext/string_conversions.h" 3
# 1 "/usr/include/c++/13/cstdlib" 1 3
# 39 "/usr/include/c++/13/cstdlib" 3
       
# 40 "/usr/include/c++/13/cstdlib" 3
# 79 "/usr/include/c++/13/cstdlib" 3
# 1 "/usr/include/stdlib.h" 1 3 4
# 26 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdlib.h" 2 3 4





# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 33 "/usr/include/stdlib.h" 2 3 4

extern "C" {





# 1 "/usr/include/aarch64-linux-gnu/bits/waitflags.h" 1 3 4
# 41 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/waitstatus.h" 1 3 4
# 42 "/usr/include/stdlib.h" 2 3 4
# 59 "/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;
# 98 "/usr/include/stdlib.h" 3 4
extern size_t __ctype_get_mb_cur_max (void) noexcept (true) ;



extern double atof (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern int atoi (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern long int atol (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



__extension__ extern long long int atoll (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 141 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 177 "/usr/include/stdlib.h" 3 4
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));






extern long int strtol (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtol")


     __attribute__ ((__nonnull__ (1)));
extern unsigned long int strtoul (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoul")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoll (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));
# 278 "/usr/include/stdlib.h" 3 4
extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 298 "/usr/include/stdlib.h" 3 4
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 340 "/usr/include/stdlib.h" 3 4
extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));





extern long int strtol_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtol_l")



     __attribute__ ((__nonnull__ (1, 4)));
extern unsigned long int strtoul_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoul_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern long long int strtoll_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoll_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoull_l")




     __attribute__ ((__nonnull__ (1, 4)));
# 415 "/usr/include/stdlib.h" 3 4
extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 436 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 505 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) noexcept (true) ;


extern long int a64l (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;




# 1 "/usr/include/aarch64-linux-gnu/sys/types.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/sys/types.h" 3 4
extern "C" {





typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;


typedef __loff_t loff_t;




typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;




typedef __pid_t pid_t;





typedef __id_t id_t;




typedef __ssize_t ssize_t;





typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;




# 1 "/usr/include/aarch64-linux-gnu/bits/types/clock_t.h" 1 3 4






typedef __clock_t clock_t;
# 127 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/types/clockid_t.h" 1 3 4






typedef __clockid_t clockid_t;
# 129 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/time_t.h" 1 3 4
# 10 "/usr/include/aarch64-linux-gnu/bits/types/time_t.h" 3 4
typedef __time_t time_t;
# 130 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/timer_t.h" 1 3 4






typedef __timer_t timer_t;
# 131 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 145 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;




# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-intn.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/stdint-intn.h" 3 4
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 156 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


typedef __uint8_t u_int8_t;
typedef __uint16_t u_int16_t;
typedef __uint32_t u_int32_t;
typedef __uint64_t u_int64_t;


typedef int register_t __attribute__ ((__mode__ (__word__)));
# 176 "/usr/include/aarch64-linux-gnu/sys/types.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 35 "/usr/include/endian.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 1 3 4
# 33 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 3 4
static __inline __uint16_t
__bswap_16 (__uint16_t __bsx)
{

  return __builtin_bswap16 (__bsx);



}






static __inline __uint32_t
__bswap_32 (__uint32_t __bsx)
{

  return __builtin_bswap32 (__bsx);



}
# 69 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 3 4
__extension__ static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{

  return __builtin_bswap64 (__bsx);



}
# 36 "/usr/include/endian.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/uintn-identity.h" 1 3 4
# 32 "/usr/include/aarch64-linux-gnu/bits/uintn-identity.h" 3 4
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 37 "/usr/include/endian.h" 2 3 4
# 177 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/sys/select.h" 1 3 4
# 30 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/select.h" 1 3 4
# 31 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/sigset_t.h" 1 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/types/__sigset_t.h" 1 3 4




typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/include/aarch64-linux-gnu/bits/types/sigset_t.h" 2 3 4


typedef __sigset_t sigset_t;
# 34 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_timeval.h" 1 3 4







struct timeval
{




  __time_t tv_sec;
  __suseconds_t tv_usec;

};
# 38 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 1 3 4
# 11 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 3 4
struct timespec
{



  __time_t tv_sec;




  __syscall_slong_t tv_nsec;
# 31 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 3 4
};
# 40 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4
# 49 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
typedef long int __fd_mask;
# 59 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];





  } fd_set;






typedef __fd_mask fd_mask;
# 91 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
extern "C" {
# 102 "/usr/include/aarch64-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);
# 127 "/usr/include/aarch64-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);
# 153 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
}
# 180 "/usr/include/aarch64-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;
# 219 "/usr/include/aarch64-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/aarch64-linux-gnu/bits/pthreadtypes.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 1 3 4
# 44 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
# 45 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/atomic_wide_counter.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/atomic_wide_counter.h" 3 4
typedef union
{
  __extension__ unsigned long long int __value64;
  struct
  {
    unsigned int __low;
    unsigned int __high;
  } __value32;
} __atomic_wide_counter;
# 47 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;

typedef struct __pthread_internal_slist
{
  struct __pthread_internal_slist *__next;
} __pthread_slist_t;
# 76 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
struct __pthread_mutex_s
{
  int __lock ;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;
# 58 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
  int __kind;




  int __spins;
  __pthread_list_t __list;
# 74 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
};
# 77 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4
# 89 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/struct_rwlock.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/struct_rwlock.h" 3 4
struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;
  int __cur_writer;
  int __shared;
  unsigned long int __pad1;
  unsigned long int __pad2;
  unsigned int __flags;
};
# 90 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4




struct __pthread_cond_s
{
  __atomic_wide_counter __wseq;
  __atomic_wide_counter __g1_start;
  unsigned int __g_refs[2] ;
  unsigned int __g_size[2];
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
};

typedef unsigned int __tss_t;
typedef unsigned long int __thrd_t;

typedef struct
{
  int __data ;
} __once_flag;
# 24 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes.h" 2 3 4



typedef unsigned long int pthread_t;




typedef union
{
  char __size[8];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  char __size[8];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[64];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;




typedef union
{
  struct __pthread_mutex_s __data;
  char __size[48];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;

typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[8];
  int __align;
} pthread_barrierattr_t;
# 228 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


}
# 515 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) noexcept (true);


extern void srandom (unsigned int __seed) noexcept (true);





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) noexcept (true) __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) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern int rand (void) noexcept (true);

extern void srand (unsigned int __seed) noexcept (true);



extern int rand_r (unsigned int *__seed) noexcept (true);







extern double drand48 (void) noexcept (true);
extern double erand48 (unsigned short int __xsubi[3]) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) noexcept (true);
extern long int nrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) noexcept (true);
extern long int jrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) noexcept (true);
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) noexcept (true) __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) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern __uint32_t arc4random (void)
     noexcept (true) ;


extern void arc4random_buf (void *__buf, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern __uint32_t arc4random_uniform (__uint32_t __upper_bound)
     noexcept (true) ;




extern void *malloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;

extern void *calloc (size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (1, 2))) ;






extern void *realloc (void *__ptr, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__alloc_size__ (2)));


extern void free (void *__ptr) noexcept (true);







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__))
     __attribute__ ((__alloc_size__ (2, 3)))
    __attribute__ ((__malloc__ (__builtin_free, 1)));


extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__ (reallocarray, 1)));



# 1 "/usr/include/alloca.h" 1 3 4
# 24 "/usr/include/alloca.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) noexcept (true);





}
# 707 "/usr/include/stdlib.h" 2 3 4





extern void *valloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;




extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1))) ;




extern void *aligned_alloc (size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_align__ (1)))
     __attribute__ ((__alloc_size__ (2))) ;



extern void abort (void) noexcept (true) __attribute__ ((__noreturn__));



extern int atexit (void (*__func) (void)) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern "C++" int at_quick_exit (void (*__func) (void))
     noexcept (true) __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 749 "/usr/include/stdlib.h" 3 4
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     noexcept (true) __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void quick_exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void _Exit (int __status) noexcept (true) __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1))) ;




extern char *secure_getenv (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) ;






extern int putenv (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));





extern int setenv (const char *__name, const char *__value, int __replace)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) noexcept (true);
# 814 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 827 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 837 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 849 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 859 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 870 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 881 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 891 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 901 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 913 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 923 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;





extern char *canonicalize_file_name (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__malloc__))
     __attribute__ ((__malloc__ (__builtin_free, 1))) ;
# 940 "/usr/include/stdlib.h" 3 4
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) noexcept (true) ;






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) noexcept (true) __attribute__ ((__const__)) ;
extern long int labs (long int __x) noexcept (true) __attribute__ ((__const__)) ;


__extension__ extern long long int llabs (long long int __x)
     noexcept (true) __attribute__ ((__const__)) ;






extern div_t div (int __numer, int __denom)
     noexcept (true) __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
     noexcept (true) __attribute__ ((__const__)) ;


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     noexcept (true) __attribute__ ((__const__)) ;
# 1012 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;




extern char *gcvt (double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) ;




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) ;




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) noexcept (true) __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) noexcept (true) __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)
     noexcept (true) __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)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));





extern int mblen (const char *__s, size_t __n) noexcept (true);


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) noexcept (true);


extern int wctomb (char *__s, wchar_t __wchar) noexcept (true);



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) noexcept (true)
    __attribute__ ((__access__ (__read_only__, 2)));

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1, 3)))
  __attribute__ ((__access__ (__read_only__, 2)));






extern int rpmatch (const char *__response) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 1099 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2, 3))) ;







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) noexcept (true);



extern int unlockpt (int __fd) noexcept (true);




extern char *ptsname (int __fd) noexcept (true) ;






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1155 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 1156 "/usr/include/stdlib.h" 2 3 4
# 1167 "/usr/include/stdlib.h" 3 4
}
# 80 "/usr/include/c++/13/cstdlib" 2 3

# 1 "/usr/include/c++/13/bits/std_abs.h" 1 3
# 33 "/usr/include/c++/13/bits/std_abs.h" 3
       
# 34 "/usr/include/c++/13/bits/std_abs.h" 3
# 46 "/usr/include/c++/13/bits/std_abs.h" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }
# 70 "/usr/include/c++/13/bits/std_abs.h" 3
  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }



  __extension__ inline constexpr __int128
  abs(__int128 __x) { return __x >= 0 ? __x : -__x; }
# 150 "/usr/include/c++/13/bits/std_abs.h" 3

}
}
# 82 "/usr/include/c++/13/cstdlib" 2 3
# 125 "/usr/include/c++/13/cstdlib" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;

  using ::aligned_alloc;

  using ::atexit;


  using ::at_quick_exit;


  using ::atof;
  using ::atoi;
  using ::atol;
  using ::bsearch;
  using ::calloc;
  using ::div;
  using ::exit;
  using ::free;
  using ::getenv;
  using ::labs;
  using ::ldiv;
  using ::malloc;

  using ::mblen;
  using ::mbstowcs;
  using ::mbtowc;

  using ::qsort;


  using ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



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




}
# 199 "/usr/include/c++/13/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;
# 231 "/usr/include/c++/13/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;
}



}
# 44 "/usr/include/c++/13/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/13/cwchar" 1 3
# 39 "/usr/include/c++/13/cwchar" 3
       
# 40 "/usr/include/c++/13/cwchar" 3
# 45 "/usr/include/c++/13/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/13/cstdio" 1 3
# 39 "/usr/include/c++/13/cstdio" 3
       
# 40 "/usr/include/c++/13/cstdio" 3


# 1 "/usr/include/stdio.h" 1 3 4
# 28 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 29 "/usr/include/stdio.h" 2 3 4

extern "C" {



# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 35 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 1 3 4
# 38 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/__fpos_t.h" 1 3 4
# 10 "/usr/include/aarch64-linux-gnu/bits/types/__fpos_t.h" 3 4
typedef struct _G_fpos_t
{
  __off_t __pos;
  __mbstate_t __state;
} __fpos_t;
# 41 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/__fpos64_t.h" 1 3 4
# 10 "/usr/include/aarch64-linux-gnu/bits/types/__fpos64_t.h" 3 4
typedef struct _G_fpos64_t
{
  __off64_t __pos;
  __mbstate_t __state;
} __fpos64_t;
# 42 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_FILE.h" 1 3 4
# 35 "/usr/include/aarch64-linux-gnu/bits/types/struct_FILE.h" 3 4
struct _IO_FILE;
struct _IO_marker;
struct _IO_codecvt;
struct _IO_wide_data;




typedef void _IO_lock_t;





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;







  __off64_t _offset;

  struct _IO_codecvt *_codecvt;
  struct _IO_wide_data *_wide_data;
  struct _IO_FILE *_freeres_list;
  void *_freeres_buf;
  size_t __pad5;
  int _mode;

  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];
};
# 45 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/cookie_io_functions_t.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/types/cookie_io_functions_t.h" 3 4
typedef __ssize_t cookie_read_function_t (void *__cookie, char *__buf,
                                          size_t __nbytes);







typedef __ssize_t cookie_write_function_t (void *__cookie, const char *__buf,
                                           size_t __nbytes);







typedef int cookie_seek_function_t (void *__cookie, __off64_t *__pos, int __w);


typedef int cookie_close_function_t (void *__cookie);






typedef struct _IO_cookie_io_functions_t
{
  cookie_read_function_t *read;
  cookie_write_function_t *write;
  cookie_seek_function_t *seek;
  cookie_close_function_t *close;
} cookie_io_functions_t;
# 48 "/usr/include/stdio.h" 2 3 4
# 85 "/usr/include/stdio.h" 3 4
typedef __fpos_t fpos_t;




typedef __fpos64_t fpos64_t;
# 129 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/stdio_lim.h" 1 3 4
# 130 "/usr/include/stdio.h" 2 3 4
# 149 "/usr/include/stdio.h" 3 4
extern FILE *stdin;
extern FILE *stdout;
extern FILE *stderr;






extern int remove (const char *__filename) noexcept (true);

extern int rename (const char *__old, const char *__new) noexcept (true);



extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) noexcept (true);
# 176 "/usr/include/stdio.h" 3 4
extern int renameat2 (int __oldfd, const char *__old, int __newfd,
        const char *__new, unsigned int __flags) noexcept (true);






extern int fclose (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 194 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile (void)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;
# 206 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void)
   __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;



extern char *tmpnam (char[20]) noexcept (true) ;




extern char *tmpnam_r (char __s[20]) noexcept (true) ;
# 228 "/usr/include/stdio.h" 3 4
extern char *tempnam (const char *__dir, const char *__pfx)
   noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (__builtin_free, 1)));






extern int fflush (FILE *__stream);
# 245 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 255 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);
# 264 "/usr/include/stdio.h" 3 4
extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) __attribute__ ((__nonnull__ (3)));
# 289 "/usr/include/stdio.h" 3 4
extern FILE *fopen64 (const char *__restrict __filename,
        const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;
extern FILE *freopen64 (const char *__restrict __filename,
   const char *__restrict __modes,
   FILE *__restrict __stream) __attribute__ ((__nonnull__ (3)));




extern FILE *fdopen (int __fd, const char *__modes) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;





extern FILE *fopencookie (void *__restrict __magic_cookie,
     const char *__restrict __modes,
     cookie_io_functions_t __io_funcs) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;





extern __FILE *open_wmemstream (wchar_t **__bufloc, size_t *__sizeloc) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1)));





extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) noexcept (true)
  __attribute__ ((__nonnull__ (1)));



extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void setlinebuf (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));







extern int fprintf (FILE *__restrict __stream,
      const char *__restrict __format, ...) __attribute__ ((__nonnull__ (1)));




extern int printf (const char *__restrict __format, ...);

extern int sprintf (char *__restrict __s,
      const char *__restrict __format, ...) noexcept (true);





extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) __attribute__ ((__nonnull__ (1)));




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) noexcept (true);



extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 4)));

extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 0)));





extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
        __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0))) ;
extern int __asprintf (char **__restrict __ptr,
         const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int asprintf (char **__restrict __ptr,
       const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) ;




extern int vdprintf (int __fd, const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));







extern int fscanf (FILE *__restrict __stream,
     const char *__restrict __format, ...) __attribute__ ((__nonnull__ (1)));




extern int scanf (const char *__restrict __format, ...) ;

extern int sscanf (const char *__restrict __s,
     const char *__restrict __format, ...) noexcept (true);
# 442 "/usr/include/stdio.h" 3 4
extern int fscanf (FILE *__restrict __stream, const char *__restrict __format, ...) __asm__ ("" "__isoc23_fscanf")

                                __attribute__ ((__nonnull__ (1)));
extern int scanf (const char *__restrict __format, ...) __asm__ ("" "__isoc23_scanf")
                              ;
extern int sscanf (const char *__restrict __s, const char *__restrict __format, ...) noexcept (true) __asm__ ("" "__isoc23_sscanf")

                      ;
# 490 "/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))) __attribute__ ((__nonnull__ (1)));





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)
     noexcept (true) __attribute__ ((__format__ (__scanf__, 2, 0)));






extern int vfscanf (FILE *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vfscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0))) __attribute__ ((__nonnull__ (1)));
extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vscanf")

     __attribute__ ((__format__ (__scanf__, 1, 0))) ;
extern int vsscanf (const char *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) noexcept (true) __asm__ ("" "__isoc23_vsscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0)));
# 575 "/usr/include/stdio.h" 3 4
extern int fgetc (FILE *__stream) __attribute__ ((__nonnull__ (1)));
extern int getc (FILE *__stream) __attribute__ ((__nonnull__ (1)));





extern int getchar (void);






extern int getc_unlocked (FILE *__stream) __attribute__ ((__nonnull__ (1)));
extern int getchar_unlocked (void);
# 600 "/usr/include/stdio.h" 3 4
extern int fgetc_unlocked (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 611 "/usr/include/stdio.h" 3 4
extern int fputc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));
extern int putc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));





extern int putchar (int __c);
# 627 "/usr/include/stdio.h" 3 4
extern int fputc_unlocked (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));







extern int putc_unlocked (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));
extern int putchar_unlocked (int __c);






extern int getw (FILE *__stream) __attribute__ ((__nonnull__ (1)));


extern int putw (int __w, FILE *__stream) __attribute__ ((__nonnull__ (2)));







extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     __attribute__ ((__access__ (__write_only__, 1, 2))) __attribute__ ((__nonnull__ (3)));
# 677 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream)
    __attribute__ ((__access__ (__write_only__, 1, 2))) __attribute__ ((__nonnull__ (3)));
# 694 "/usr/include/stdio.h" 3 4
extern __ssize_t __getdelim (char **__restrict __lineptr,
                             size_t *__restrict __n, int __delimiter,
                             FILE *__restrict __stream) __attribute__ ((__nonnull__ (4)));
extern __ssize_t getdelim (char **__restrict __lineptr,
                           size_t *__restrict __n, int __delimiter,
                           FILE *__restrict __stream) __attribute__ ((__nonnull__ (4)));







extern __ssize_t getline (char **__restrict __lineptr,
                          size_t *__restrict __n,
                          FILE *__restrict __stream) __attribute__ ((__nonnull__ (3)));







extern int fputs (const char *__restrict __s, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (2)));





extern int puts (const char *__s);






extern int ungetc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));






extern size_t fread (void *__restrict __ptr, size_t __size,
       size_t __n, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (4)));




extern size_t fwrite (const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s) __attribute__ ((__nonnull__ (4)));
# 755 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream) __attribute__ ((__nonnull__ (2)));
# 766 "/usr/include/stdio.h" 3 4
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (4)));
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (4)));







extern int fseek (FILE *__stream, long int __off, int __whence)
  __attribute__ ((__nonnull__ (1)));




extern long int ftell (FILE *__stream) __attribute__ ((__nonnull__ (1)));




extern void rewind (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 803 "/usr/include/stdio.h" 3 4
extern int fseeko (FILE *__stream, __off_t __off, int __whence)
  __attribute__ ((__nonnull__ (1)));




extern __off_t ftello (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 829 "/usr/include/stdio.h" 3 4
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos)
  __attribute__ ((__nonnull__ (1)));




extern int fsetpos (FILE *__stream, const fpos_t *__pos) __attribute__ ((__nonnull__ (1)));
# 851 "/usr/include/stdio.h" 3 4
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence)
  __attribute__ ((__nonnull__ (1)));
extern __off64_t ftello64 (FILE *__stream) __attribute__ ((__nonnull__ (1)));
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos)
  __attribute__ ((__nonnull__ (1)));
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos) __attribute__ ((__nonnull__ (1)));



extern void clearerr (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern int feof (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern int ferror (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern void clearerr_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
extern int feof_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
extern int ferror_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));







extern void perror (const char *__s) __attribute__ ((__cold__));




extern int fileno (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int fileno_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 897 "/usr/include/stdio.h" 3 4
extern int pclose (FILE *__stream) __attribute__ ((__nonnull__ (1)));





extern FILE *popen (const char *__command, const char *__modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (pclose, 1))) ;






extern char *ctermid (char *__s) noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1)));





extern char *cuserid (char *__s)
  __attribute__ ((__access__ (__write_only__, 1)));




struct obstack;


extern int obstack_printf (struct obstack *__restrict __obstack,
      const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
       const char *__restrict __format,
       __gnuc_va_list __args)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0)));







extern void flockfile (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int ftrylockfile (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void funlockfile (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 959 "/usr/include/stdio.h" 3 4
extern int __uflow (FILE *);
extern int __overflow (FILE *, int);
# 983 "/usr/include/stdio.h" 3 4
}
# 43 "/usr/include/c++/13/cstdio" 2 3
# 96 "/usr/include/c++/13/cstdio" 3
namespace std
{
  using ::FILE;
  using ::fpos_t;

  using ::clearerr;
  using ::fclose;
  using ::feof;
  using ::ferror;
  using ::fflush;
  using ::fgetc;
  using ::fgetpos;
  using ::fgets;
  using ::fopen;
  using ::fprintf;
  using ::fputc;
  using ::fputs;
  using ::fread;
  using ::freopen;
  using ::fscanf;
  using ::fseek;
  using ::fsetpos;
  using ::ftell;
  using ::fwrite;
  using ::getc;
  using ::getchar;




  using ::perror;
  using ::printf;
  using ::putc;
  using ::putchar;
  using ::puts;
  using ::remove;
  using ::rename;
  using ::rewind;
  using ::scanf;
  using ::setbuf;
  using ::setvbuf;
  using ::sprintf;
  using ::sscanf;
  using ::tmpfile;

  using ::tmpnam;

  using ::ungetc;
  using ::vfprintf;
  using ::vprintf;
  using ::vsprintf;
}
# 157 "/usr/include/c++/13/cstdio" 3
namespace __gnu_cxx
{
# 175 "/usr/include/c++/13/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;
}
# 46 "/usr/include/c++/13/ext/string_conversions.h" 2 3
# 1 "/usr/include/c++/13/cerrno" 1 3
# 39 "/usr/include/c++/13/cerrno" 3
       
# 40 "/usr/include/c++/13/cerrno" 3


# 1 "/usr/include/errno.h" 1 3 4
# 28 "/usr/include/errno.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/errno.h" 1 3 4
# 26 "/usr/include/aarch64-linux-gnu/bits/errno.h" 3 4
# 1 "/usr/include/linux/errno.h" 1 3 4
# 1 "/usr/include/aarch64-linux-gnu/asm/errno.h" 1 3 4
# 1 "/usr/include/asm-generic/errno.h" 1 3 4




# 1 "/usr/include/asm-generic/errno-base.h" 1 3 4
# 6 "/usr/include/asm-generic/errno.h" 2 3 4
# 2 "/usr/include/aarch64-linux-gnu/asm/errno.h" 2 3 4
# 2 "/usr/include/linux/errno.h" 2 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/errno.h" 2 3 4
# 29 "/usr/include/errno.h" 2 3 4





extern "C" {


extern int *__errno_location (void) noexcept (true) __attribute__ ((__const__));







extern char *program_invocation_name;
extern char *program_invocation_short_name;

# 1 "/usr/include/aarch64-linux-gnu/bits/types/error_t.h" 1 3 4
# 22 "/usr/include/aarch64-linux-gnu/bits/types/error_t.h" 3 4
typedef int error_t;
# 49 "/usr/include/errno.h" 2 3 4



}
# 43 "/usr/include/c++/13/cerrno" 2 3
# 47 "/usr/include/c++/13/ext/string_conversions.h" 2 3

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



  template<typename _TRet, typename _Ret = _TRet, typename _CharT,
    typename... _Base>
    _Ret
    __stoa(_TRet (*__convf) (const _CharT*, _CharT**, _Base...),
    const char* __name, const _CharT* __str, std::size_t* __idx,
    _Base... __base)
    {
      _Ret __ret;

      _CharT* __endptr;

      struct _Save_errno {
 _Save_errno() : _M_errno((*__errno_location ())) { (*__errno_location ()) = 0; }
 ~_Save_errno() { if ((*__errno_location ()) == 0) (*__errno_location ()) = _M_errno; }
 int _M_errno;
      } const __save_errno;

      struct _Range_chk {
   static bool
   _S_chk(_TRet, std::false_type) { return false; }

   static bool
   _S_chk(_TRet __val, std::true_type)
   {
     return __val < _TRet(__numeric_traits<int>::__min)
       || __val > _TRet(__numeric_traits<int>::__max);
   }
      };

      const _TRet __tmp = __convf(__str, &__endptr, __base...);

      if (__endptr == __str)
 std::__throw_invalid_argument(__name);
      else if ((*__errno_location ()) == 34
   || _Range_chk::_S_chk(__tmp, std::is_same<_Ret, int>{}))
 std::__throw_out_of_range(__name);
      else
 __ret = __tmp;

      if (__idx)
 *__idx = __endptr - __str;

      return __ret;
    }


  template<typename _String, typename _CharT = typename _String::value_type>
    _String
    __to_xstring(int (*__convf) (_CharT*, std::size_t, const _CharT*,
     __builtin_va_list), std::size_t __n,
   const _CharT* __fmt, ...)
    {


      _CharT* __s = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
         * __n));

      __builtin_va_list __args;
      __builtin_va_start(__args, __fmt);

      const int __len = __convf(__s, __n, __fmt, __args);

      __builtin_va_end(__args);

      return _String(__s, __s + __len);
    }


}
# 4110 "/usr/include/c++/13/bits/basic_string.h" 2 3
# 1 "/usr/include/c++/13/bits/charconv.h" 1 3
# 33 "/usr/include/c++/13/bits/charconv.h" 3
       
# 34 "/usr/include/c++/13/bits/charconv.h" 3






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

namespace __detail
{


  template<typename _Tp>
    constexpr bool __integer_to_chars_is_unsigned
      = ! __gnu_cxx::__int_traits<_Tp>::__is_signed;



  template<typename _Tp>
    constexpr unsigned
    __to_chars_len(_Tp __value, int __base = 10) noexcept
    {

      static_assert(__integer_to_chars_is_unsigned<_Tp>, "implementation bug");


      unsigned __n = 1;
      const unsigned __b2 = __base * __base;
      const unsigned __b3 = __b2 * __base;
      const unsigned long __b4 = __b3 * __base;
      for (;;)
 {
   if (__value < (unsigned)__base) return __n;
   if (__value < __b2) return __n + 1;
   if (__value < __b3) return __n + 2;
   if (__value < __b4) return __n + 3;
   __value /= __b4;
   __n += 4;
 }
    }




  template<typename _Tp>
    void
    __to_chars_10_impl(char* __first, unsigned __len, _Tp __val) noexcept
    {

      static_assert(__integer_to_chars_is_unsigned<_Tp>, "implementation bug");


      constexpr char __digits[201] =
 "0001020304050607080910111213141516171819"
 "2021222324252627282930313233343536373839"
 "4041424344454647484950515253545556575859"
 "6061626364656667686970717273747576777879"
 "8081828384858687888990919293949596979899";
      unsigned __pos = __len - 1;
      while (__val >= 100)
 {
   auto const __num = (__val % 100) * 2;
   __val /= 100;
   __first[__pos] = __digits[__num + 1];
   __first[__pos - 1] = __digits[__num];
   __pos -= 2;
 }
      if (__val >= 10)
 {
   auto const __num = __val * 2;
   __first[1] = __digits[__num + 1];
   __first[0] = __digits[__num];
 }
      else
 __first[0] = '0' + __val;
    }

}

}
# 4111 "/usr/include/c++/13/bits/basic_string.h" 2 3

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

namespace __cxx11 {



  inline int
  stoi(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::strtol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtold, "stold", __str.c_str(), __idx); }




  [[__nodiscard__]]
  inline string
  to_string(int __val)

  noexcept

  {
    const bool __neg = __val < 0;
    const unsigned __uval = __neg ? (unsigned)~__val + 1u : __val;
    const auto __len = __detail::__to_chars_len(__uval);
    string __str(__neg + __len, '-');
    __detail::__to_chars_10_impl(&__str[__neg], __len, __uval);
    return __str;
  }

  [[__nodiscard__]]
  inline string
  to_string(unsigned __val)

  noexcept

  {
    string __str(__detail::__to_chars_len(__val), '\0');
    __detail::__to_chars_10_impl(&__str[0], __str.size(), __val);
    return __str;
  }

  [[__nodiscard__]]
  inline string
  to_string(long __val)



  {
    const bool __neg = __val < 0;
    const unsigned long __uval = __neg ? (unsigned long)~__val + 1ul : __val;
    const auto __len = __detail::__to_chars_len(__uval);
    string __str(__neg + __len, '-');
    __detail::__to_chars_10_impl(&__str[__neg], __len, __uval);
    return __str;
  }

  [[__nodiscard__]]
  inline string
  to_string(unsigned long __val)



  {
    string __str(__detail::__to_chars_len(__val), '\0');
    __detail::__to_chars_10_impl(&__str[0], __str.size(), __val);
    return __str;
  }

  [[__nodiscard__]]
  inline string
  to_string(long long __val)
  {
    const bool __neg = __val < 0;
    const unsigned long long __uval
      = __neg ? (unsigned long long)~__val + 1ull : __val;
    const auto __len = __detail::__to_chars_len(__uval);
    string __str(__neg + __len, '-');
    __detail::__to_chars_10_impl(&__str[__neg], __len, __uval);
    return __str;
  }

  [[__nodiscard__]]
  inline string
  to_string(unsigned long long __val)
  {
    string __str(__detail::__to_chars_len(__val), '\0');
    __detail::__to_chars_10_impl(&__str[0], __str.size(), __val);
    return __str;
  }




  [[__nodiscard__]]
  inline string
  to_string(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  [[__nodiscard__]]
  inline string
  to_string(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  [[__nodiscard__]]
  inline string
  to_string(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%Lf", __val);
  }



  inline int
  stoi(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::wcstol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstold, "stold", __str.c_str(), __idx); }



  [[__nodiscard__]]
  inline wstring
  to_wstring(int __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(int),
         L"%d", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(unsigned __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned),
         L"%u", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, 4 * sizeof(long),
         L"%ld", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(unsigned long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long),
         L"%lu", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(long long),
         L"%lld", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf,
         4 * sizeof(unsigned long long),
         L"%llu", __val); }

  [[__nodiscard__]]
  inline wstring
  to_wstring(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  [[__nodiscard__]]
  inline wstring
  to_wstring(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%f", __val);
  }

  [[__nodiscard__]]
  inline wstring
  to_wstring(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<wstring>(&std::vswprintf, __n,
         L"%Lf", __val);
  }



}

}







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





  template<typename _CharT, typename _Alloc,
    typename _StrT = basic_string<_CharT, char_traits<_CharT>, _Alloc>>
    struct __str_hash_base
    : public __hash_base<size_t, _StrT>
    {
      [[__nodiscard__]]
      size_t
      operator()(const _StrT& __s) const noexcept
      { return _Hash_impl::hash(__s.data(), __s.length() * sizeof(_CharT)); }
    };



  template<typename _Alloc>
    struct hash<basic_string<char, char_traits<char>, _Alloc>>
    : public __str_hash_base<char, _Alloc>
    { };


  template<typename _Alloc>
    struct hash<basic_string<wchar_t, char_traits<wchar_t>, _Alloc>>
    : public __str_hash_base<wchar_t, _Alloc>
    { };

  template<typename _Alloc>
    struct __is_fast_hash<hash<basic_string<wchar_t, char_traits<wchar_t>,
         _Alloc>>>
    : std::false_type
    { };
# 4440 "/usr/include/c++/13/bits/basic_string.h" 3
  template<typename _Alloc>
    struct hash<basic_string<char16_t, char_traits<char16_t>, _Alloc>>
    : public __str_hash_base<char16_t, _Alloc>
    { };


  template<typename _Alloc>
    struct hash<basic_string<char32_t, char_traits<char32_t>, _Alloc>>
    : public __str_hash_base<char32_t, _Alloc>
    { };



  template<> struct __is_fast_hash<hash<string>> : std::false_type { };
  template<> struct __is_fast_hash<hash<wstring>> : std::false_type { };
  template<> struct __is_fast_hash<hash<u16string>> : std::false_type { };
  template<> struct __is_fast_hash<hash<u32string>> : std::false_type { };
# 4472 "/usr/include/c++/13/bits/basic_string.h" 3
  inline namespace literals
  {
  inline namespace string_literals
  {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wliteral-suffix"







    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char>
    operator""s(const char* __str, size_t __len)
    { return basic_string<char>{__str, __len}; }

    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<wchar_t>
    operator""s(const wchar_t* __str, size_t __len)
    { return basic_string<wchar_t>{__str, __len}; }
# 4502 "/usr/include/c++/13/bits/basic_string.h" 3
    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char16_t>
    operator""s(const char16_t* __str, size_t __len)
    { return basic_string<char16_t>{__str, __len}; }

    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char32_t>
    operator""s(const char32_t* __str, size_t __len)
    { return basic_string<char32_t>{__str, __len}; }


#pragma GCC diagnostic pop
  }
  }


  namespace __detail::__variant
  {
    template<typename> struct _Never_valueless_alt;



    template<typename _Tp, typename _Traits, typename _Alloc>
      struct _Never_valueless_alt<std::basic_string<_Tp, _Traits, _Alloc>>
      : __and_<
 is_nothrow_move_constructible<std::basic_string<_Tp, _Traits, _Alloc>>,
 is_nothrow_move_assignable<std::basic_string<_Tp, _Traits, _Alloc>>
 >::type
      { };
  }




}
# 55 "/usr/include/c++/13/string" 2 3
# 1 "/usr/include/c++/13/bits/basic_string.tcc" 1 3
# 42 "/usr/include/c++/13/bits/basic_string.tcc" 3
       
# 43 "/usr/include/c++/13/bits/basic_string.tcc" 3



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




  template<typename _CharT, typename _Traits, typename _Alloc>
    const typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::npos;

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    swap(basic_string& __s) noexcept
    {
      if (this == std::__addressof(__s))
 return;

      _Alloc_traits::_S_on_swap(_M_get_allocator(), __s._M_get_allocator());

      if (_M_is_local())
 if (__s._M_is_local())
   {
     if (length() && __s.length())
       {
  _CharT __tmp_data[_S_local_capacity + 1];
  traits_type::copy(__tmp_data, __s._M_local_buf,
      __s.length() + 1);
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      length() + 1);
  traits_type::copy(_M_local_buf, __tmp_data,
      __s.length() + 1);
       }
     else if (__s.length())
       {
  _M_init_local_buf();
  traits_type::copy(_M_local_buf, __s._M_local_buf,
      __s.length() + 1);
  _M_length(__s.length());
  __s._M_set_length(0);
  return;
       }
     else if (length())
       {
  __s._M_init_local_buf();
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      length() + 1);
  __s._M_length(length());
  _M_set_length(0);
  return;
       }
   }
 else
   {
     const size_type __tmp_capacity = __s._M_allocated_capacity;
     __s._M_init_local_buf();
     traits_type::copy(__s._M_local_buf, _M_local_buf,
         length() + 1);
     _M_data(__s._M_data());
     __s._M_data(__s._M_local_buf);
     _M_capacity(__tmp_capacity);
   }
      else
 {
   const size_type __tmp_capacity = _M_allocated_capacity;
   if (__s._M_is_local())
     {
       _M_init_local_buf();
       traits_type::copy(_M_local_buf, __s._M_local_buf,
    __s.length() + 1);
       __s._M_data(_M_data());
       _M_data(_M_local_buf);
     }
   else
     {
       pointer __tmp_ptr = _M_data();
       _M_data(__s._M_data());
       __s._M_data(__tmp_ptr);
       _M_capacity(__s._M_allocated_capacity);
     }
   __s._M_capacity(__tmp_capacity);
 }

      const size_type __tmp_length = length();
      _M_length(__s.length());
      __s._M_length(__tmp_length);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::pointer
    basic_string<_CharT, _Traits, _Alloc>::
    _M_create(size_type& __capacity, size_type __old_capacity)
    {


      if (__capacity > max_size())
 std::__throw_length_error(("basic_string::_M_create"));




      if (__capacity > __old_capacity && __capacity < 2 * __old_capacity)
 {
   __capacity = 2 * __old_capacity;

   if (__capacity > max_size())
     __capacity = max_size();
 }



      return _S_allocate(_M_get_allocator(), __capacity + 1);
    }





  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
     
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::input_iterator_tag)
      {
 size_type __len = 0;
 size_type __capacity = size_type(_S_local_capacity);

 _M_init_local_buf();

 while (__beg != __end && __len < __capacity)
   {
     _M_local_buf[__len++] = *__beg;
     ++__beg;
   }

 struct _Guard
 {
  
   explicit _Guard(basic_string* __s) : _M_guarded(__s) { }

  
   ~_Guard() { if (_M_guarded) _M_guarded->_M_dispose(); }

   basic_string* _M_guarded;
 } __guard(this);

 while (__beg != __end)
   {
     if (__len == __capacity)
       {

  __capacity = __len + 1;
  pointer __another = _M_create(__capacity, __len);
  this->_S_copy(__another, _M_data(), __len);
  _M_dispose();
  _M_data(__another);
  _M_capacity(__capacity);
       }
     traits_type::assign(_M_data()[__len++], *__beg);
     ++__beg;
   }

 __guard._M_guarded = 0;

 _M_set_length(__len);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
     
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::forward_iterator_tag)
      {
 size_type __dnew = static_cast<size_type>(std::distance(__beg, __end));

 if (__dnew > size_type(_S_local_capacity))
   {
     _M_data(_M_create(__dnew, size_type(0)));
     _M_capacity(__dnew);
   }
 else
   _M_init_local_buf();


 struct _Guard
 {
  
   explicit _Guard(basic_string* __s) : _M_guarded(__s) { }

  
   ~_Guard() { if (_M_guarded) _M_guarded->_M_dispose(); }

   basic_string* _M_guarded;
 } __guard(this);

 this->_S_copy_chars(_M_data(), __beg, __end);

 __guard._M_guarded = 0;

 _M_set_length(__dnew);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_construct(size_type __n, _CharT __c)
    {
      if (__n > size_type(_S_local_capacity))
 {
   _M_data(_M_create(__n, size_type(0)));
   _M_capacity(__n);
 }
      else
 _M_init_local_buf();

      if (__n)
 this->_S_assign(_M_data(), __n, __c);

      _M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_assign(const basic_string& __str)
    {
      if (this != std::__addressof(__str))
 {
   const size_type __rsize = __str.length();
   const size_type __capacity = capacity();

   if (__rsize > __capacity)
     {
       size_type __new_capacity = __rsize;
       pointer __tmp = _M_create(__new_capacity, __capacity);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__new_capacity);
     }

   if (__rsize)
     this->_S_copy(_M_data(), __str._M_data(), __rsize);

   _M_set_length(__rsize);
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    reserve(size_type __res)
    {
      const size_type __capacity = capacity();




      if (__res <= __capacity)
 return;

      pointer __tmp = _M_create(__res, __capacity);
      this->_S_copy(__tmp, _M_data(), length() + 1);
      _M_dispose();
      _M_data(__tmp);
      _M_capacity(__res);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
       size_type __len2)
    {
      const size_type __how_much = length() - __pos - __len1;

      size_type __new_capacity = length() + __len2 - __len1;
      pointer __r = _M_create(__new_capacity, capacity());

      if (__pos)
 this->_S_copy(__r, _M_data(), __pos);
      if (__s && __len2)
 this->_S_copy(__r + __pos, __s, __len2);
      if (__how_much)
 this->_S_copy(__r + __pos + __len2,
        _M_data() + __pos + __len1, __how_much);

      _M_dispose();
      _M_data(__r);
      _M_capacity(__new_capacity);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_erase(size_type __pos, size_type __n)
    {
      const size_type __how_much = length() - __pos - __n;

      if (__how_much && __n)
 this->_S_move(_M_data() + __pos, _M_data() + __pos + __n, __how_much);

      _M_set_length(length() - __n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    reserve()
    {
      if (_M_is_local())
 return;

      const size_type __length = length();
      const size_type __capacity = _M_allocated_capacity;

      if (__length <= size_type(_S_local_capacity))
 {
   _M_init_local_buf();
   this->_S_copy(_M_local_buf, _M_data(), __length + 1);
   _M_destroy(__capacity);
   _M_data(_M_local_data());
 }

      else if (__length < __capacity)
 try
   {
     pointer __tmp = _S_allocate(_M_get_allocator(), __length + 1);
     this->_S_copy(__tmp, _M_data(), __length + 1);
     _M_dispose();
     _M_data(__tmp);
     _M_capacity(__length);
   }
 catch (const __cxxabiv1::__forced_unwind&)
   { throw; }
 catch (...)
   { }

    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    void
    basic_string<_CharT, _Traits, _Alloc>::
    resize(size_type __n, _CharT __c)
    {
      const size_type __size = this->size();
      if (__size < __n)
 this->append(__n - __size, __c);
      else if (__n < __size)
 this->_M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_append(const _CharT* __s, size_type __n)
    {
      const size_type __len = __n + this->size();

      if (__len <= this->capacity())
 {
   if (__n)
     this->_S_copy(this->_M_data() + this->size(), __s, __n);
 }
      else
 this->_M_mutate(this->size(), size_type(0), __s, __n);

      this->_M_set_length(__len);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InputIterator>
     
      basic_string<_CharT, _Traits, _Alloc>&
      basic_string<_CharT, _Traits, _Alloc>::
      _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
     _InputIterator __k1, _InputIterator __k2,
     std::__false_type)
      {


 const basic_string __s(__k1, __k2, this->get_allocator());
 const size_type __n1 = __i2 - __i1;
 return _M_replace(__i1 - begin(), __n1, __s._M_data(),
     __s.size());
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
     _CharT __c)
    {
      _M_check_length(__n1, __n2, "basic_string::_M_replace_aux");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __n2 - __n1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos1;

   const size_type __how_much = __old_size - __pos1 - __n1;
   if (__how_much && __n1 != __n2)
     this->_S_move(__p + __n2, __p + __n1, __how_much);
 }
      else
 this->_M_mutate(__pos1, __n1, 0, __n2);

      if (__n2)
 this->_S_assign(this->_M_data() + __pos1, __n2, __c);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    __attribute__((__noinline__, __noclone__, __cold__)) void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace_cold(pointer __p, size_type __len1, const _CharT* __s,
      const size_type __len2, const size_type __how_much)
    {

      if (__len2 && __len2 <= __len1)
 this->_S_move(__p, __s, __len2);
      if (__how_much && __len1 != __len2)
 this->_S_move(__p + __len2, __p + __len1, __how_much);
      if (__len2 > __len1)
 {
   if (__s + __len2 <= __p + __len1)
     this->_S_move(__p, __s, __len2);
   else if (__s >= __p + __len1)
     {


       const size_type __poff = (__s - __p) + (__len2 - __len1);
       this->_S_copy(__p, __p + __poff, __len2);
     }
   else
     {
       const size_type __nleft = (__p + __len1) - __s;
       this->_S_move(__p, __s, __nleft);
       this->_S_copy(__p + __nleft, __p + __len2, __len2 - __nleft);
     }
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
        const size_type __len2)
    {
      _M_check_length(__len1, __len2, "basic_string::_M_replace");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __len2 - __len1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos;

   const size_type __how_much = __old_size - __pos - __len1;
# 537 "/usr/include/c++/13/bits/basic_string.tcc" 3
   if (__builtin_expect(_M_disjunct(__s), true))
     {
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2)
  this->_S_copy(__p, __s, __len2);
     }
   else
     _M_replace_cold(__p, __len1, __s, __len2, __how_much);
 }
      else
 this->_M_mutate(__pos, __len1, __s, __len2);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    copy(_CharT* __s, size_type __n, size_type __pos) const
    {
      _M_check(__pos, "basic_string::copy");
      __n = _M_limit(__pos, __n);
      ;
      if (__n)
 _S_copy(__s, _M_data() + __pos, __n);

      return __n;
    }
# 615 "/usr/include/c++/13/bits/basic_string.tcc" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();

      if (__n == 0)
 return __pos <= __size ? __pos : npos;
      if (__pos >= __size)
 return npos;

      const _CharT __elem0 = __s[0];
      const _CharT* const __data = data();
      const _CharT* __first = __data + __pos;
      const _CharT* const __last = __data + __size;
      size_type __len = __size - __pos;

      while (__len >= __n)
 {

   __first = traits_type::find(__first, __len - __n + 1, __elem0);
   if (!__first)
     return npos;



   if (traits_type::compare(__first, __s, __n) == 0)
     return __first - __data;
   __len = __last - ++__first;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(_CharT __c, size_type __pos) const noexcept
    {
      size_type __ret = npos;
      const size_type __size = this->size();
      if (__pos < __size)
 {
   const _CharT* __data = _M_data();
   const size_type __n = __size - __pos;
   const _CharT* __p = traits_type::find(__data + __pos, __n, __c);
   if (__p)
     __ret = __p - __data;
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();
      if (__n <= __size)
 {
   __pos = std::min(size_type(__size - __n), __pos);
   const _CharT* __data = _M_data();
   do
     {
       if (traits_type::compare(__data + __pos, __s, __n) == 0)
  return __pos;
     }
   while (__pos-- > 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   for (++__size; __size-- > 0; )
     if (traits_type::eq(_M_data()[__size], __c))
       return __size;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __n && __pos < this->size(); ++__pos)
 {
   const _CharT* __p = traits_type::find(__s, __n, _M_data()[__pos]);
   if (__p)
     return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size && __n)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size-- != 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::find(__s, __n, _M_data()[__pos]))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(_CharT __c, size_type __pos) const noexcept
    {
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::eq(_M_data()[__pos], __c))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
   
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::eq(_M_data()[__size], __c))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }




  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in,
        basic_string<_CharT, _Traits, _Alloc>& __str)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;
      typedef ctype<_CharT> __ctype_type;
      typedef typename __ctype_type::ctype_base __ctype_base;

      __size_type __extracted = 0;
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, false);
      if (__cerb)
 {
   try
     {

       __str.erase();
       _CharT __buf[128];
       __size_type __len = 0;
       const streamsize __w = __in.width();
       const __size_type __n = __w > 0 ? static_cast<__size_type>(__w)
                                : __str.max_size();
       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !__ct.is(__ctype_base::space,
     _Traits::to_char_type(__c)))
  {
    if (__len == sizeof(__buf) / sizeof(_CharT))
      {
        __str.append(__buf, sizeof(__buf) / sizeof(_CharT));
        __len = 0;
      }
    __buf[__len++] = _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }
       __str.append(__buf, __len);

       if (__extracted < __n && _Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       __in.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }

      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __in,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;

      __size_type __extracted = 0;
      const __size_type __n = __str.max_size();
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, true);
      if (__cerb)
 {
   try
     {
       __str.erase();
       const __int_type __idelim = _Traits::to_int_type(__delim);
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !_Traits::eq_int_type(__c, __idelim))
  {
    __str += _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }

       if (_Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       else if (_Traits::eq_int_type(__c, __idelim))
  {
    ++__extracted;
    __in.rdbuf()->sbumpc();
  }
       else
  __err |= __ios_base::failbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }
      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }
# 969 "/usr/include/c++/13/bits/basic_string.tcc" 3
  extern template class basic_string<char>;
# 982 "/usr/include/c++/13/bits/basic_string.tcc" 3
  extern template
    basic_istream<char>&
    operator>>(basic_istream<char>&, string&);
  extern template
    basic_ostream<char>&
    operator<<(basic_ostream<char>&, const string&);
  extern template
    basic_istream<char>&
    getline(basic_istream<char>&, string&, char);
  extern template
    basic_istream<char>&
    getline(basic_istream<char>&, string&);



  extern template class basic_string<wchar_t>;
# 1008 "/usr/include/c++/13/bits/basic_string.tcc" 3
  extern template
    basic_istream<wchar_t>&
    operator>>(basic_istream<wchar_t>&, wstring&);
  extern template
    basic_ostream<wchar_t>&
    operator<<(basic_ostream<wchar_t>&, const wstring&);
  extern template
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>&, wstring&, wchar_t);
  extern template
    basic_istream<wchar_t>&
    getline(basic_istream<wchar_t>&, wstring&);




}
# 56 "/usr/include/c++/13/string" 2 3


# 1 "/usr/include/c++/13/bits/memory_resource.h" 1 3
# 33 "/usr/include/c++/13/bits/memory_resource.h" 3
       
# 34 "/usr/include/c++/13/bits/memory_resource.h" 3




# 1 "/usr/include/c++/13/cstddef" 1 3
# 42 "/usr/include/c++/13/cstddef" 3
       
# 43 "/usr/include/c++/13/cstddef" 3







# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 145 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 425 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 3 4
typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
# 436 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 3 4
} max_align_t;






  typedef decltype(nullptr) nullptr_t;
# 51 "/usr/include/c++/13/cstddef" 2 3

extern "C++"
{

namespace std
{

  using ::max_align_t;
}



namespace std
{




  enum class byte : unsigned char {};

  template<typename _IntegerType> struct __byte_operand { };
  template<> struct __byte_operand<bool> { using __type = byte; };
  template<> struct __byte_operand<char> { using __type = byte; };
  template<> struct __byte_operand<signed char> { using __type = byte; };
  template<> struct __byte_operand<unsigned char> { using __type = byte; };
  template<> struct __byte_operand<wchar_t> { using __type = byte; };



  template<> struct __byte_operand<char16_t> { using __type = byte; };
  template<> struct __byte_operand<char32_t> { using __type = byte; };
  template<> struct __byte_operand<short> { using __type = byte; };
  template<> struct __byte_operand<unsigned short> { using __type = byte; };
  template<> struct __byte_operand<int> { using __type = byte; };
  template<> struct __byte_operand<unsigned int> { using __type = byte; };
  template<> struct __byte_operand<long> { using __type = byte; };
  template<> struct __byte_operand<unsigned long> { using __type = byte; };
  template<> struct __byte_operand<long long> { using __type = byte; };
  template<> struct __byte_operand<unsigned long long> { using __type = byte; };

  template<> struct __byte_operand<__int128>
  { using __type = byte; };
  template<> struct __byte_operand<unsigned __int128>
  { using __type = byte; };
# 108 "/usr/include/c++/13/cstddef" 3
  template<typename _IntegerType>
    struct __byte_operand<const _IntegerType>
    : __byte_operand<_IntegerType> { };
  template<typename _IntegerType>
    struct __byte_operand<volatile _IntegerType>
    : __byte_operand<_IntegerType> { };
  template<typename _IntegerType>
    struct __byte_operand<const volatile _IntegerType>
    : __byte_operand<_IntegerType> { };

  template<typename _IntegerType>
    using __byte_op_t = typename __byte_operand<_IntegerType>::__type;

  template<typename _IntegerType>
    [[__gnu__::__always_inline__]]
    constexpr __byte_op_t<_IntegerType>
    operator<<(byte __b, _IntegerType __shift) noexcept
    { return (byte)(unsigned char)((unsigned)__b << __shift); }

  template<typename _IntegerType>
    [[__gnu__::__always_inline__]]
    constexpr __byte_op_t<_IntegerType>
    operator>>(byte __b, _IntegerType __shift) noexcept
    { return (byte)(unsigned char)((unsigned)__b >> __shift); }

  [[__gnu__::__always_inline__]]
  constexpr byte
  operator|(byte __l, byte __r) noexcept
  { return (byte)(unsigned char)((unsigned)__l | (unsigned)__r); }

  [[__gnu__::__always_inline__]]
  constexpr byte
  operator&(byte __l, byte __r) noexcept
  { return (byte)(unsigned char)((unsigned)__l & (unsigned)__r); }

  [[__gnu__::__always_inline__]]
  constexpr byte
  operator^(byte __l, byte __r) noexcept
  { return (byte)(unsigned char)((unsigned)__l ^ (unsigned)__r); }

  [[__gnu__::__always_inline__]]
  constexpr byte
  operator~(byte __b) noexcept
  { return (byte)(unsigned char)~(unsigned)__b; }

  template<typename _IntegerType>
    [[__gnu__::__always_inline__]]
    constexpr __byte_op_t<_IntegerType>&
    operator<<=(byte& __b, _IntegerType __shift) noexcept
    { return __b = __b << __shift; }

  template<typename _IntegerType>
    [[__gnu__::__always_inline__]]
    constexpr __byte_op_t<_IntegerType>&
    operator>>=(byte& __b, _IntegerType __shift) noexcept
    { return __b = __b >> __shift; }

  [[__gnu__::__always_inline__]]
  constexpr byte&
  operator|=(byte& __l, byte __r) noexcept
  { return __l = __l | __r; }

  [[__gnu__::__always_inline__]]
  constexpr byte&
  operator&=(byte& __l, byte __r) noexcept
  { return __l = __l & __r; }

  [[__gnu__::__always_inline__]]
  constexpr byte&
  operator^=(byte& __l, byte __r) noexcept
  { return __l = __l ^ __r; }

  template<typename _IntegerType>
    [[nodiscard,__gnu__::__always_inline__]]
    constexpr _IntegerType
    to_integer(__byte_op_t<_IntegerType> __b) noexcept
    { return _IntegerType(__b); }


}

}
# 39 "/usr/include/c++/13/bits/memory_resource.h" 2 3

# 1 "/usr/include/c++/13/bits/uses_allocator.h" 1 3
# 40 "/usr/include/c++/13/bits/uses_allocator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  struct __erased_type { };




  template<typename _Alloc, typename _Tp>
    using __is_erased_or_convertible
      = __or_<is_convertible<_Alloc, _Tp>, is_same<_Tp, __erased_type>>;


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

  inline constexpr allocator_arg_t allocator_arg =
    allocator_arg_t();

  template<typename _Tp, typename _Alloc, typename = __void_t<>>
    struct __uses_allocator_helper
    : false_type { };

  template<typename _Tp, typename _Alloc>
    struct __uses_allocator_helper<_Tp, _Alloc,
       __void_t<typename _Tp::allocator_type>>
    : __is_erased_or_convertible<_Alloc, typename _Tp::allocator_type>::type
    { };


  template<typename _Tp, typename _Alloc>
    struct uses_allocator
    : __uses_allocator_helper<_Tp, _Alloc>::type
    { };

  struct __uses_alloc_base { };

  struct __uses_alloc0 : __uses_alloc_base
  {
    struct _Sink { void operator=(const void*) { } } _M_a;
  };

  template<typename _Alloc>
    struct __uses_alloc1 : __uses_alloc_base { const _Alloc* _M_a; };

  template<typename _Alloc>
    struct __uses_alloc2 : __uses_alloc_base { const _Alloc* _M_a; };

  template<bool, typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc;

  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc<true, _Tp, _Alloc, _Args...>
    : __conditional_t<
        is_constructible<_Tp, allocator_arg_t, const _Alloc&, _Args...>::value,
        __uses_alloc1<_Alloc>,
        __uses_alloc2<_Alloc>>
    {


      static_assert(__or_<
   is_constructible<_Tp, allocator_arg_t, const _Alloc&, _Args...>,
   is_constructible<_Tp, _Args..., const _Alloc&>>::value,
   "construction with an allocator must be possible"
   " if uses_allocator is true");
    };

  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc<false, _Tp, _Alloc, _Args...>
    : __uses_alloc0 { };

  template<typename _Tp, typename _Alloc, typename... _Args>
    using __uses_alloc_t =
      __uses_alloc<uses_allocator<_Tp, _Alloc>::value, _Tp, _Alloc, _Args...>;

  template<typename _Tp, typename _Alloc, typename... _Args>
   
    inline __uses_alloc_t<_Tp, _Alloc, _Args...>
    __use_alloc(const _Alloc& __a)
    {
      __uses_alloc_t<_Tp, _Alloc, _Args...> __ret;
      __ret._M_a = std::__addressof(__a);
      return __ret;
    }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void
    __use_alloc(const _Alloc&&) = delete;


  template <typename _Tp, typename _Alloc>
    inline constexpr bool uses_allocator_v =
      uses_allocator<_Tp, _Alloc>::value;


  template<template<typename...> class _Predicate,
    typename _Tp, typename _Alloc, typename... _Args>
    struct __is_uses_allocator_predicate
    : __conditional_t<uses_allocator<_Tp, _Alloc>::value,
      __or_<_Predicate<_Tp, allocator_arg_t, _Alloc, _Args...>,
     _Predicate<_Tp, _Args..., _Alloc>>,
      _Predicate<_Tp, _Args...>> { };

  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __is_uses_allocator_constructible
    : __is_uses_allocator_predicate<is_constructible, _Tp, _Alloc, _Args...>
    { };


  template<typename _Tp, typename _Alloc, typename... _Args>
    inline constexpr bool __is_uses_allocator_constructible_v =
      __is_uses_allocator_constructible<_Tp, _Alloc, _Args...>::value;


  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __is_nothrow_uses_allocator_constructible
    : __is_uses_allocator_predicate<is_nothrow_constructible,
        _Tp, _Alloc, _Args...>
    { };



  template<typename _Tp, typename _Alloc, typename... _Args>
    inline constexpr bool
    __is_nothrow_uses_allocator_constructible_v =
      __is_nothrow_uses_allocator_constructible<_Tp, _Alloc, _Args...>::value;


  template<typename _Tp, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc0, _Tp* __ptr,
      _Args&&... __args)
    { ::new ((void*)__ptr) _Tp(std::forward<_Args>(__args)...); }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc1<_Alloc> __a, _Tp* __ptr,
      _Args&&... __args)
    {
      ::new ((void*)__ptr) _Tp(allocator_arg, *__a._M_a,
          std::forward<_Args>(__args)...);
    }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct_impl(__uses_alloc2<_Alloc> __a, _Tp* __ptr,
      _Args&&... __args)
    { ::new ((void*)__ptr) _Tp(std::forward<_Args>(__args)..., *__a._M_a); }

  template<typename _Tp, typename _Alloc, typename... _Args>
    void __uses_allocator_construct(const _Alloc& __a, _Tp* __ptr,
        _Args&&... __args)
    {
      std::__uses_allocator_construct_impl(
   std::__use_alloc<_Tp, _Alloc, _Args...>(__a), __ptr,
   std::forward<_Args>(__args)...);
    }



}
# 41 "/usr/include/c++/13/bits/memory_resource.h" 2 3
# 1 "/usr/include/c++/13/bits/uses_allocator_args.h" 1 3
# 33 "/usr/include/c++/13/bits/uses_allocator_args.h" 3
       
# 34 "/usr/include/c++/13/bits/uses_allocator_args.h" 3
# 42 "/usr/include/c++/13/bits/memory_resource.h" 2 3





# 1 "/usr/include/c++/13/tuple" 1 3
# 32 "/usr/include/c++/13/tuple" 3
       
# 33 "/usr/include/c++/13/tuple" 3
# 48 "/usr/include/c++/13/tuple" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename... _Elements>
    class tuple;

  template<typename _Tp>
    struct __is_empty_non_tuple : is_empty<_Tp> { };


  template<typename _El0, typename... _El>
    struct __is_empty_non_tuple<tuple<_El0, _El...>> : false_type { };


  template<typename _Tp>
    using __empty_not_final
    = __conditional_t<__is_final(_Tp), false_type,
        __is_empty_non_tuple<_Tp>>;

  template<size_t _Idx, typename _Head,
    bool = __empty_not_final<_Head>::value>
    struct _Head_base;


  template<size_t _Idx, typename _Head>
    struct _Head_base<_Idx, _Head, true>
    {
      constexpr _Head_base()
      : _M_head_impl() { }

      constexpr _Head_base(const _Head& __h)
      : _M_head_impl(__h) { }

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

      template<typename _UHead>
 constexpr _Head_base(_UHead&& __h)
 : _M_head_impl(std::forward<_UHead>(__h)) { }

     
      _Head_base(allocator_arg_t, __uses_alloc0)
      : _M_head_impl() { }

      template<typename _Alloc>

 _Head_base(allocator_arg_t, __uses_alloc1<_Alloc> __a)
 : _M_head_impl(allocator_arg, *__a._M_a) { }

      template<typename _Alloc>

 _Head_base(allocator_arg_t, __uses_alloc2<_Alloc> __a)
 : _M_head_impl(*__a._M_a) { }

      template<typename _UHead>

 _Head_base(__uses_alloc0, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead)) { }

      template<typename _Alloc, typename _UHead>

 _Head_base(__uses_alloc1<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(allocator_arg, *__a._M_a, std::forward<_UHead>(__uhead))
 { }

      template<typename _Alloc, typename _UHead>

 _Head_base(__uses_alloc2<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead), *__a._M_a) { }

      static constexpr _Head&
      _M_head(_Head_base& __b) noexcept { return __b._M_head_impl; }

      static constexpr const _Head&
      _M_head(const _Head_base& __b) noexcept { return __b._M_head_impl; }

      [[__no_unique_address__]] _Head _M_head_impl;
    };
# 187 "/usr/include/c++/13/tuple" 3
  template<size_t _Idx, typename _Head>
    struct _Head_base<_Idx, _Head, false>
    {
      constexpr _Head_base()
      : _M_head_impl() { }

      constexpr _Head_base(const _Head& __h)
      : _M_head_impl(__h) { }

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

      template<typename _UHead>
        constexpr _Head_base(_UHead&& __h)
 : _M_head_impl(std::forward<_UHead>(__h)) { }

     
      _Head_base(allocator_arg_t, __uses_alloc0)
      : _M_head_impl() { }

      template<typename _Alloc>

 _Head_base(allocator_arg_t, __uses_alloc1<_Alloc> __a)
 : _M_head_impl(allocator_arg, *__a._M_a) { }

      template<typename _Alloc>

 _Head_base(allocator_arg_t, __uses_alloc2<_Alloc> __a)
 : _M_head_impl(*__a._M_a) { }

      template<typename _UHead>

 _Head_base(__uses_alloc0, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead)) { }

      template<typename _Alloc, typename _UHead>

 _Head_base(__uses_alloc1<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(allocator_arg, *__a._M_a, std::forward<_UHead>(__uhead))
 { }

      template<typename _Alloc, typename _UHead>

 _Head_base(__uses_alloc2<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead), *__a._M_a) { }

      static constexpr _Head&
      _M_head(_Head_base& __b) noexcept { return __b._M_head_impl; }

      static constexpr const _Head&
      _M_head(const _Head_base& __b) noexcept { return __b._M_head_impl; }

      _Head _M_head_impl;
    };
# 250 "/usr/include/c++/13/tuple" 3
  template<size_t _Idx, typename... _Elements>
    struct _Tuple_impl;






  template<size_t _Idx, typename _Head, typename... _Tail>
    struct _Tuple_impl<_Idx, _Head, _Tail...>
    : public _Tuple_impl<_Idx + 1, _Tail...>,
      private _Head_base<_Idx, _Head>
    {
      template<size_t, typename...> friend struct _Tuple_impl;

      typedef _Tuple_impl<_Idx + 1, _Tail...> _Inherited;
      typedef _Head_base<_Idx, _Head> _Base;

      static constexpr _Head&
      _M_head(_Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }

      static constexpr const _Head&
      _M_head(const _Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }

      static constexpr _Inherited&
      _M_tail(_Tuple_impl& __t) noexcept { return __t; }

      static constexpr const _Inherited&
      _M_tail(const _Tuple_impl& __t) noexcept { return __t; }

      constexpr _Tuple_impl()
      : _Inherited(), _Base() { }

      explicit constexpr
      _Tuple_impl(const _Head& __head, const _Tail&... __tail)
      : _Inherited(__tail...), _Base(__head)
      { }

      template<typename _UHead, typename... _UTail,
        typename = __enable_if_t<sizeof...(_Tail) == sizeof...(_UTail)>>
 explicit constexpr
 _Tuple_impl(_UHead&& __head, _UTail&&... __tail)
 : _Inherited(std::forward<_UTail>(__tail)...),
   _Base(std::forward<_UHead>(__head))
 { }

      constexpr _Tuple_impl(const _Tuple_impl&) = default;



      _Tuple_impl& operator=(const _Tuple_impl&) = delete;

      _Tuple_impl(_Tuple_impl&&) = default;

      template<typename... _UElements>
 constexpr
 _Tuple_impl(const _Tuple_impl<_Idx, _UElements...>& __in)
 : _Inherited(_Tuple_impl<_Idx, _UElements...>::_M_tail(__in)),
   _Base(_Tuple_impl<_Idx, _UElements...>::_M_head(__in))
 { }

      template<typename _UHead, typename... _UTails>
 constexpr
 _Tuple_impl(_Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
 : _Inherited(std::move
       (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in))),
   _Base(std::forward<_UHead>
  (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in)))
 { }
# 338 "/usr/include/c++/13/tuple" 3
      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a),
   _Base(__tag, __use_alloc<_Head>(__a))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      const _Head& __head, const _Tail&... __tail)
 : _Inherited(__tag, __a, __tail...),
   _Base(__use_alloc<_Head, _Alloc, _Head>(__a), __head)
 { }

      template<typename _Alloc, typename _UHead, typename... _UTail,
        typename = __enable_if_t<sizeof...(_Tail) == sizeof...(_UTail)>>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      _UHead&& __head, _UTail&&... __tail)
 : _Inherited(__tag, __a, std::forward<_UTail>(__tail)...),
   _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
  std::forward<_UHead>(__head))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      const _Tuple_impl& __in)
 : _Inherited(__tag, __a, _M_tail(__in)),
   _Base(__use_alloc<_Head, _Alloc, _Head>(__a), _M_head(__in))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      _Tuple_impl&& __in)
 : _Inherited(__tag, __a, std::move(_M_tail(__in))),
   _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
  std::forward<_Head>(_M_head(__in)))
 { }

      template<typename _Alloc, typename _UHead, typename... _UTails>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      const _Tuple_impl<_Idx, _UHead, _UTails...>& __in)
 : _Inherited(__tag, __a,
       _Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in)),
   _Base(__use_alloc<_Head, _Alloc, const _UHead&>(__a),
  _Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in))
 { }

      template<typename _Alloc, typename _UHead, typename... _UTails>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      _Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
 : _Inherited(__tag, __a, std::move
       (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in))),
   _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
  std::forward<_UHead>
  (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in)))
 { }
# 424 "/usr/include/c++/13/tuple" 3
      template<typename... _UElements>

 void
 _M_assign(const _Tuple_impl<_Idx, _UElements...>& __in)
 {
   _M_head(*this) = _Tuple_impl<_Idx, _UElements...>::_M_head(__in);
   _M_tail(*this)._M_assign(
       _Tuple_impl<_Idx, _UElements...>::_M_tail(__in));
 }

      template<typename _UHead, typename... _UTails>

 void
 _M_assign(_Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
 {
   _M_head(*this) = std::forward<_UHead>
     (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in));
   _M_tail(*this)._M_assign(
       std::move(_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in)));
 }
# 466 "/usr/include/c++/13/tuple" 3
    protected:
     
      void
      _M_swap(_Tuple_impl& __in)
      {
 using std::swap;
 swap(_M_head(*this), _M_head(__in));
 _Inherited::_M_swap(_M_tail(__in));
      }
# 485 "/usr/include/c++/13/tuple" 3
    };


  template<size_t _Idx, typename _Head>
    struct _Tuple_impl<_Idx, _Head>
    : private _Head_base<_Idx, _Head>
    {
      template<size_t, typename...> friend struct _Tuple_impl;

      typedef _Head_base<_Idx, _Head> _Base;

      static constexpr _Head&
      _M_head(_Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }

      static constexpr const _Head&
      _M_head(const _Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }

      constexpr
      _Tuple_impl()
      : _Base() { }

      explicit constexpr
      _Tuple_impl(const _Head& __head)
      : _Base(__head)
      { }

      template<typename _UHead>
 explicit constexpr
 _Tuple_impl(_UHead&& __head)
 : _Base(std::forward<_UHead>(__head))
 { }

      constexpr _Tuple_impl(const _Tuple_impl&) = default;



      _Tuple_impl& operator=(const _Tuple_impl&) = delete;




      constexpr
      _Tuple_impl(_Tuple_impl&& __in)
      noexcept(is_nothrow_move_constructible<_Head>::value)
      : _Base(static_cast<_Base&&>(__in))
      { }


      template<typename _UHead>
 constexpr
 _Tuple_impl(const _Tuple_impl<_Idx, _UHead>& __in)
 : _Base(_Tuple_impl<_Idx, _UHead>::_M_head(__in))
 { }

      template<typename _UHead>
 constexpr
 _Tuple_impl(_Tuple_impl<_Idx, _UHead>&& __in)
 : _Base(std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in)))
 { }
# 559 "/usr/include/c++/13/tuple" 3
      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a)
 : _Base(__tag, __use_alloc<_Head>(__a))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      const _Head& __head)
 : _Base(__use_alloc<_Head, _Alloc, const _Head&>(__a), __head)
 { }

      template<typename _Alloc, typename _UHead>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      _UHead&& __head)
 : _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
  std::forward<_UHead>(__head))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      const _Tuple_impl& __in)
 : _Base(__use_alloc<_Head, _Alloc, const _Head&>(__a), _M_head(__in))
 { }

      template<typename _Alloc>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      _Tuple_impl&& __in)
 : _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
  std::forward<_Head>(_M_head(__in)))
 { }

      template<typename _Alloc, typename _UHead>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      const _Tuple_impl<_Idx, _UHead>& __in)
 : _Base(__use_alloc<_Head, _Alloc, const _UHead&>(__a),
  _Tuple_impl<_Idx, _UHead>::_M_head(__in))
 { }

      template<typename _Alloc, typename _UHead>

 _Tuple_impl(allocator_arg_t, const _Alloc& __a,
      _Tuple_impl<_Idx, _UHead>&& __in)
 : _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
  std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in)))
 { }
# 629 "/usr/include/c++/13/tuple" 3
      template<typename _UHead>

 void
 _M_assign(const _Tuple_impl<_Idx, _UHead>& __in)
 {
   _M_head(*this) = _Tuple_impl<_Idx, _UHead>::_M_head(__in);
 }

      template<typename _UHead>

 void
 _M_assign(_Tuple_impl<_Idx, _UHead>&& __in)
 {
   _M_head(*this)
     = std::forward<_UHead>(_Tuple_impl<_Idx, _UHead>::_M_head(__in));
 }
# 663 "/usr/include/c++/13/tuple" 3
    protected:
     
      void
      _M_swap(_Tuple_impl& __in)
      {
 using std::swap;
 swap(_M_head(*this), _M_head(__in));
      }
# 680 "/usr/include/c++/13/tuple" 3
    };



  template<bool, typename... _Types>
    struct _TupleConstraints
    {
      template<typename... _UTypes>
 using __constructible = __and_<is_constructible<_Types, _UTypes>...>;

      template<typename... _UTypes>
 using __convertible = __and_<is_convertible<_UTypes, _Types>...>;




      template<typename... _UTypes>
 static constexpr bool __is_implicitly_constructible()
 {
   return __and_<__constructible<_UTypes...>,
   __convertible<_UTypes...>
   >::value;
 }




      template<typename... _UTypes>
 static constexpr bool __is_explicitly_constructible()
 {
   return __and_<__constructible<_UTypes...>,
   __not_<__convertible<_UTypes...>>
   >::value;
 }

      static constexpr bool __is_implicitly_default_constructible()
      {
 return __and_<std::__is_implicitly_default_constructible<_Types>...
        >::value;
      }

      static constexpr bool __is_explicitly_default_constructible()
      {
 return __and_<is_default_constructible<_Types>...,
        __not_<__and_<
   std::__is_implicitly_default_constructible<_Types>...>
        >>::value;
      }
    };



  template<typename... _Types>
    struct _TupleConstraints<false, _Types...>
    {
      template<typename... _UTypes>
 static constexpr bool __is_implicitly_constructible()
 { return false; }

      template<typename... _UTypes>
 static constexpr bool __is_explicitly_constructible()
 { return false; }
    };


  template<typename... _Elements>
    class tuple : public _Tuple_impl<0, _Elements...>
    {
      typedef _Tuple_impl<0, _Elements...> _Inherited;

      template<bool _Cond>
 using _TCC = _TupleConstraints<_Cond, _Elements...>;


      template<bool _Dummy>
 using _ImplicitDefaultCtor = __enable_if_t<
   _TCC<_Dummy>::__is_implicitly_default_constructible(),
   bool>;


      template<bool _Dummy>
 using _ExplicitDefaultCtor = __enable_if_t<
   _TCC<_Dummy>::__is_explicitly_default_constructible(),
   bool>;


      template<bool _Cond, typename... _Args>
 using _ImplicitCtor = __enable_if_t<
   _TCC<_Cond>::template __is_implicitly_constructible<_Args...>(),
   bool>;


      template<bool _Cond, typename... _Args>
 using _ExplicitCtor = __enable_if_t<
   _TCC<_Cond>::template __is_explicitly_constructible<_Args...>(),
   bool>;

      template<typename... _UElements>
 static constexpr
 __enable_if_t<sizeof...(_UElements) == sizeof...(_Elements), bool>
 __assignable()
 { return __and_<is_assignable<_Elements&, _UElements>...>::value; }


      template<typename... _UElements>
 static constexpr bool __nothrow_assignable()
 {
   return
     __and_<is_nothrow_assignable<_Elements&, _UElements>...>::value;
 }


      template<typename... _UElements>
 static constexpr bool __nothrow_constructible()
 {
   return
     __and_<is_nothrow_constructible<_Elements, _UElements>...>::value;
 }


      template<typename _Up>
 static constexpr bool __valid_args()
 {
   return sizeof...(_Elements) == 1
     && !is_same<tuple, __remove_cvref_t<_Up>>::value;
 }


      template<typename, typename, typename... _Tail>
 static constexpr bool __valid_args()
 { return (sizeof...(_Tail) + 2) == sizeof...(_Elements); }
# 821 "/usr/include/c++/13/tuple" 3
      template<typename _Tuple, typename = tuple,
        typename = __remove_cvref_t<_Tuple>>
 struct _UseOtherCtor
 : false_type
 { };


      template<typename _Tuple, typename _Tp, typename _Up>
 struct _UseOtherCtor<_Tuple, tuple<_Tp>, tuple<_Up>>
 : __or_<is_convertible<_Tuple, _Tp>, is_constructible<_Tp, _Tuple>>::type
 { };


      template<typename _Tuple, typename _Tp>
 struct _UseOtherCtor<_Tuple, tuple<_Tp>, tuple<_Tp>>
 : true_type
 { };




      template<typename _Tuple>
 static constexpr bool __use_other_ctor()
 { return _UseOtherCtor<_Tuple>::value; }
# 856 "/usr/include/c++/13/tuple" 3
    public:
      template<typename _Dummy = void,
        _ImplicitDefaultCtor<is_void<_Dummy>::value> = true>
 constexpr
 tuple()
 noexcept(__and_<is_nothrow_default_constructible<_Elements>...>::value)
 : _Inherited() { }

      template<typename _Dummy = void,
        _ExplicitDefaultCtor<is_void<_Dummy>::value> = false>
 explicit constexpr
 tuple()
 noexcept(__and_<is_nothrow_default_constructible<_Elements>...>::value)
 : _Inherited() { }

      template<bool _NotEmpty = (sizeof...(_Elements) >= 1),
        _ImplicitCtor<_NotEmpty, const _Elements&...> = true>
 constexpr
 tuple(const _Elements&... __elements)
 noexcept(__nothrow_constructible<const _Elements&...>())
 : _Inherited(__elements...) { }

      template<bool _NotEmpty = (sizeof...(_Elements) >= 1),
        _ExplicitCtor<_NotEmpty, const _Elements&...> = false>
 explicit constexpr
 tuple(const _Elements&... __elements)
 noexcept(__nothrow_constructible<const _Elements&...>())
 : _Inherited(__elements...) { }

      template<typename... _UElements,
        bool _Valid = __valid_args<_UElements...>(),
        _ImplicitCtor<_Valid, _UElements...> = true>
 constexpr
 tuple(_UElements&&... __elements)
 noexcept(__nothrow_constructible<_UElements...>())
 : _Inherited(std::forward<_UElements>(__elements)...) { }

      template<typename... _UElements,
        bool _Valid = __valid_args<_UElements...>(),
        _ExplicitCtor<_Valid, _UElements...> = false>
 explicit constexpr
 tuple(_UElements&&... __elements)
 noexcept(__nothrow_constructible<_UElements...>())
 : _Inherited(std::forward<_UElements>(__elements)...) { }

      constexpr tuple(const tuple&) = default;

      constexpr tuple(tuple&&) = default;

      template<typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
      && !__use_other_ctor<const tuple<_UElements...>&>(),
        _ImplicitCtor<_Valid, const _UElements&...> = true>
 constexpr
 tuple(const tuple<_UElements...>& __in)
 noexcept(__nothrow_constructible<const _UElements&...>())
 : _Inherited(static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
 { }

      template<typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
      && !__use_other_ctor<const tuple<_UElements...>&>(),
        _ExplicitCtor<_Valid, const _UElements&...> = false>
 explicit constexpr
 tuple(const tuple<_UElements...>& __in)
 noexcept(__nothrow_constructible<const _UElements&...>())
 : _Inherited(static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
 { }

      template<typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<tuple<_UElements...>&&>(),
        _ImplicitCtor<_Valid, _UElements...> = true>
 constexpr
 tuple(tuple<_UElements...>&& __in)
 noexcept(__nothrow_constructible<_UElements...>())
 : _Inherited(static_cast<_Tuple_impl<0, _UElements...>&&>(__in)) { }

      template<typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<tuple<_UElements...>&&>(),
        _ExplicitCtor<_Valid, _UElements...> = false>
 explicit constexpr
 tuple(tuple<_UElements...>&& __in)
 noexcept(__nothrow_constructible<_UElements...>())
 : _Inherited(static_cast<_Tuple_impl<0, _UElements...>&&>(__in)) { }
# 968 "/usr/include/c++/13/tuple" 3
      template<typename _Alloc,
        _ImplicitDefaultCtor<is_object<_Alloc>::value> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }

      template<typename _Alloc,
        _ExplicitDefaultCtor<is_object<_Alloc>::value> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }

      template<typename _Alloc, bool _NotEmpty = (sizeof...(_Elements) >= 1),
        _ImplicitCtor<_NotEmpty, const _Elements&...> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _Elements&... __elements)
 : _Inherited(__tag, __a, __elements...) { }

      template<typename _Alloc, bool _NotEmpty = (sizeof...(_Elements) >= 1),
        _ExplicitCtor<_NotEmpty, const _Elements&...> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _Elements&... __elements)
 : _Inherited(__tag, __a, __elements...) { }

      template<typename _Alloc, typename... _UElements,
        bool _Valid = __valid_args<_UElements...>(),
        _ImplicitCtor<_Valid, _UElements...> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       _UElements&&... __elements)
 : _Inherited(__tag, __a, std::forward<_UElements>(__elements)...)
 { }

      template<typename _Alloc, typename... _UElements,
   bool _Valid = __valid_args<_UElements...>(),
        _ExplicitCtor<_Valid, _UElements...> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       _UElements&&... __elements)
 : _Inherited(__tag, __a, std::forward<_UElements>(__elements)...)
 { }

      template<typename _Alloc>

 tuple(allocator_arg_t __tag, const _Alloc& __a, const tuple& __in)
 : _Inherited(__tag, __a, static_cast<const _Inherited&>(__in)) { }

      template<typename _Alloc>

 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple&& __in)
 : _Inherited(__tag, __a, static_cast<_Inherited&&>(__in)) { }

      template<typename _Alloc, typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<const tuple<_UElements...>&>(),
        _ImplicitCtor<_Valid, const _UElements&...> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_UElements...>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
 { }

      template<typename _Alloc, typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<const tuple<_UElements...>&>(),
        _ExplicitCtor<_Valid, const _UElements&...> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_UElements...>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
 { }

      template<typename _Alloc, typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<tuple<_UElements...>&&>(),
        _ImplicitCtor<_Valid, _UElements...> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       tuple<_UElements...>&& __in)
 : _Inherited(__tag, __a,
              static_cast<_Tuple_impl<0, _UElements...>&&>(__in))
 { }

      template<typename _Alloc, typename... _UElements,
        bool _Valid = (sizeof...(_Elements) == sizeof...(_UElements))
        && !__use_other_ctor<tuple<_UElements...>&&>(),
        _ExplicitCtor<_Valid, _UElements...> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       tuple<_UElements...>&& __in)
 : _Inherited(__tag, __a,
              static_cast<_Tuple_impl<0, _UElements...>&&>(__in))
 { }
# 1099 "/usr/include/c++/13/tuple" 3
     
      tuple&
      operator=(__conditional_t<__assignable<const _Elements&...>(),
    const tuple&,
    const __nonesuch&> __in)
      noexcept(__nothrow_assignable<const _Elements&...>())
      {
 this->_M_assign(__in);
 return *this;
      }

     
      tuple&
      operator=(__conditional_t<__assignable<_Elements...>(),
    tuple&&,
    __nonesuch&&> __in)
      noexcept(__nothrow_assignable<_Elements...>())
      {
 this->_M_assign(std::move(__in));
 return *this;
      }

      template<typename... _UElements>

 __enable_if_t<__assignable<const _UElements&...>(), tuple&>
 operator=(const tuple<_UElements...>& __in)
 noexcept(__nothrow_assignable<const _UElements&...>())
 {
   this->_M_assign(__in);
   return *this;
 }

      template<typename... _UElements>

 __enable_if_t<__assignable<_UElements...>(), tuple&>
 operator=(tuple<_UElements...>&& __in)
 noexcept(__nothrow_assignable<_UElements...>())
 {
   this->_M_assign(std::move(__in));
   return *this;
 }
# 1180 "/usr/include/c++/13/tuple" 3
     
      void
      swap(tuple& __in)
      noexcept(__and_<__is_nothrow_swappable<_Elements>...>::value)
      { _Inherited::_M_swap(__in); }
# 1199 "/usr/include/c++/13/tuple" 3
    };


  template<typename... _UTypes>
    tuple(_UTypes...) -> tuple<_UTypes...>;
  template<typename _T1, typename _T2>
    tuple(pair<_T1, _T2>) -> tuple<_T1, _T2>;
  template<typename _Alloc, typename... _UTypes>
    tuple(allocator_arg_t, _Alloc, _UTypes...) -> tuple<_UTypes...>;
  template<typename _Alloc, typename _T1, typename _T2>
    tuple(allocator_arg_t, _Alloc, pair<_T1, _T2>) -> tuple<_T1, _T2>;
  template<typename _Alloc, typename... _UTypes>
    tuple(allocator_arg_t, _Alloc, tuple<_UTypes...>) -> tuple<_UTypes...>;



  template<>
    class tuple<>
    {
    public:
     
      void swap(tuple&) noexcept { }





      tuple() = default;

      template<typename _Alloc>

 tuple(allocator_arg_t, const _Alloc&) noexcept { }
      template<typename _Alloc>

 tuple(allocator_arg_t, const _Alloc&, const tuple&) noexcept { }
    };



  template<typename _T1, typename _T2>
    class tuple<_T1, _T2> : public _Tuple_impl<0, _T1, _T2>
    {
      typedef _Tuple_impl<0, _T1, _T2> _Inherited;


      template<bool _Dummy, typename _U1, typename _U2>
 using _ImplicitDefaultCtor = __enable_if_t<
   _TupleConstraints<_Dummy, _U1, _U2>::
     __is_implicitly_default_constructible(),
   bool>;


      template<bool _Dummy, typename _U1, typename _U2>
 using _ExplicitDefaultCtor = __enable_if_t<
   _TupleConstraints<_Dummy, _U1, _U2>::
     __is_explicitly_default_constructible(),
   bool>;

      template<bool _Dummy>
 using _TCC = _TupleConstraints<_Dummy, _T1, _T2>;


      template<bool _Cond, typename _U1, typename _U2>
 using _ImplicitCtor = __enable_if_t<
   _TCC<_Cond>::template __is_implicitly_constructible<_U1, _U2>(),
   bool>;


      template<bool _Cond, typename _U1, typename _U2>
 using _ExplicitCtor = __enable_if_t<
   _TCC<_Cond>::template __is_explicitly_constructible<_U1, _U2>(),
   bool>;

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

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

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

      static constexpr bool __nothrow_default_constructible()
      {
 return __and_<is_nothrow_default_constructible<_T1>,
        is_nothrow_default_constructible<_T2>>::value;
      }

      template<typename _U1>
 static constexpr bool __is_alloc_arg()
 { return is_same<__remove_cvref_t<_U1>, allocator_arg_t>::value; }
# 1313 "/usr/include/c++/13/tuple" 3
    public:
      template<bool _Dummy = true,
        _ImplicitDefaultCtor<_Dummy, _T1, _T2> = true>
 constexpr
 tuple()
 noexcept(__nothrow_default_constructible())
 : _Inherited() { }

      template<bool _Dummy = true,
        _ExplicitDefaultCtor<_Dummy, _T1, _T2> = false>
 explicit constexpr
 tuple()
 noexcept(__nothrow_default_constructible())
 : _Inherited() { }

      template<bool _Dummy = true,
        _ImplicitCtor<_Dummy, const _T1&, const _T2&> = true>
 constexpr
 tuple(const _T1& __a1, const _T2& __a2)
 noexcept(__nothrow_constructible<const _T1&, const _T2&>())
 : _Inherited(__a1, __a2) { }

      template<bool _Dummy = true,
        _ExplicitCtor<_Dummy, const _T1&, const _T2&> = false>
 explicit constexpr
 tuple(const _T1& __a1, const _T2& __a2)
 noexcept(__nothrow_constructible<const _T1&, const _T2&>())
 : _Inherited(__a1, __a2) { }

      template<typename _U1, typename _U2,
        _ImplicitCtor<!__is_alloc_arg<_U1>(), _U1, _U2> = true>
 constexpr
 tuple(_U1&& __a1, _U2&& __a2)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(std::forward<_U1>(__a1), std::forward<_U2>(__a2)) { }

      template<typename _U1, typename _U2,
        _ExplicitCtor<!__is_alloc_arg<_U1>(), _U1, _U2> = false>
 explicit constexpr
 tuple(_U1&& __a1, _U2&& __a2)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(std::forward<_U1>(__a1), std::forward<_U2>(__a2)) { }

      constexpr tuple(const tuple&) = default;

      constexpr tuple(tuple&&) = default;

      template<typename _U1, typename _U2,
        _ImplicitCtor<true, const _U1&, const _U2&> = true>
 constexpr
 tuple(const tuple<_U1, _U2>& __in)
 noexcept(__nothrow_constructible<const _U1&, const _U2&>())
 : _Inherited(static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in)) { }

      template<typename _U1, typename _U2,
        _ExplicitCtor<true, const _U1&, const _U2&> = false>
 explicit constexpr
 tuple(const tuple<_U1, _U2>& __in)
 noexcept(__nothrow_constructible<const _U1&, const _U2&>())
 : _Inherited(static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in)) { }

      template<typename _U1, typename _U2,
        _ImplicitCtor<true, _U1, _U2> = true>
 constexpr
 tuple(tuple<_U1, _U2>&& __in)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in)) { }

      template<typename _U1, typename _U2,
        _ExplicitCtor<true, _U1, _U2> = false>
 explicit constexpr
 tuple(tuple<_U1, _U2>&& __in)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in)) { }
# 1406 "/usr/include/c++/13/tuple" 3
      template<typename _U1, typename _U2,
        _ImplicitCtor<true, const _U1&, const _U2&> = true>
 constexpr
 tuple(const pair<_U1, _U2>& __in)
 noexcept(__nothrow_constructible<const _U1&, const _U2&>())
 : _Inherited(__in.first, __in.second) { }

      template<typename _U1, typename _U2,
        _ExplicitCtor<true, const _U1&, const _U2&> = false>
 explicit constexpr
 tuple(const pair<_U1, _U2>& __in)
 noexcept(__nothrow_constructible<const _U1&, const _U2&>())
 : _Inherited(__in.first, __in.second) { }

      template<typename _U1, typename _U2,
        _ImplicitCtor<true, _U1, _U2> = true>
 constexpr
 tuple(pair<_U1, _U2>&& __in)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }

      template<typename _U1, typename _U2,
        _ExplicitCtor<true, _U1, _U2> = false>
 explicit constexpr
 tuple(pair<_U1, _U2>&& __in)
 noexcept(__nothrow_constructible<_U1, _U2>())
 : _Inherited(std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }
# 1457 "/usr/include/c++/13/tuple" 3
      template<typename _Alloc,
        _ImplicitDefaultCtor<is_object<_Alloc>::value, _T1, _T2> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }

      template<typename _Alloc,
        _ExplicitDefaultCtor<is_object<_Alloc>::value, _T1, _T2> = false>

 explicit
 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }

      template<typename _Alloc, bool _Dummy = true,
        _ImplicitCtor<_Dummy, const _T1&, const _T2&> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _T1& __a1, const _T2& __a2)
 : _Inherited(__tag, __a, __a1, __a2) { }

      template<typename _Alloc, bool _Dummy = true,
        _ExplicitCtor<_Dummy, const _T1&, const _T2&> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _T1& __a1, const _T2& __a2)
 : _Inherited(__tag, __a, __a1, __a2) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ImplicitCtor<true, _U1, _U2> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a, _U1&& __a1, _U2&& __a2)
 : _Inherited(__tag, __a, std::forward<_U1>(__a1),
              std::forward<_U2>(__a2)) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ExplicitCtor<true, _U1, _U2> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       _U1&& __a1, _U2&& __a2)
 : _Inherited(__tag, __a, std::forward<_U1>(__a1),
              std::forward<_U2>(__a2)) { }

      template<typename _Alloc>

 tuple(allocator_arg_t __tag, const _Alloc& __a, const tuple& __in)
 : _Inherited(__tag, __a, static_cast<const _Inherited&>(__in)) { }

      template<typename _Alloc>

 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple&& __in)
 : _Inherited(__tag, __a, static_cast<_Inherited&&>(__in)) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ImplicitCtor<true, const _U1&, const _U2&> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_U1, _U2>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in))
 { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ExplicitCtor<true, const _U1&, const _U2&> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_U1, _U2>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in))
 { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ImplicitCtor<true, _U1, _U2> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in))
 { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ExplicitCtor<true, _U1, _U2> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in))
 { }
# 1567 "/usr/include/c++/13/tuple" 3
      template<typename _Alloc, typename _U1, typename _U2,
        _ImplicitCtor<true, const _U1&, const _U2&> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const pair<_U1, _U2>& __in)
 : _Inherited(__tag, __a, __in.first, __in.second) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ExplicitCtor<true, const _U1&, const _U2&> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const pair<_U1, _U2>& __in)
 : _Inherited(__tag, __a, __in.first, __in.second) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ImplicitCtor<true, _U1, _U2> = true>

 tuple(allocator_arg_t __tag, const _Alloc& __a, pair<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }

      template<typename _Alloc, typename _U1, typename _U2,
        _ExplicitCtor<true, _U1, _U2> = false>
 explicit

 tuple(allocator_arg_t __tag, const _Alloc& __a, pair<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }
# 1617 "/usr/include/c++/13/tuple" 3
     
      tuple&
      operator=(__conditional_t<__assignable<const _T1&, const _T2&>(),
    const tuple&,
    const __nonesuch&> __in)
      noexcept(__nothrow_assignable<const _T1&, const _T2&>())
      {
 this->_M_assign(__in);
 return *this;
      }

     
      tuple&
      operator=(__conditional_t<__assignable<_T1, _T2>(),
    tuple&&,
    __nonesuch&&> __in)
      noexcept(__nothrow_assignable<_T1, _T2>())
      {
 this->_M_assign(std::move(__in));
 return *this;
      }

      template<typename _U1, typename _U2>

 __enable_if_t<__assignable<const _U1&, const _U2&>(), tuple&>
 operator=(const tuple<_U1, _U2>& __in)
 noexcept(__nothrow_assignable<const _U1&, const _U2&>())
 {
   this->_M_assign(__in);
   return *this;
 }

      template<typename _U1, typename _U2>

 __enable_if_t<__assignable<_U1, _U2>(), tuple&>
 operator=(tuple<_U1, _U2>&& __in)
 noexcept(__nothrow_assignable<_U1, _U2>())
 {
   this->_M_assign(std::move(__in));
   return *this;
 }
# 1697 "/usr/include/c++/13/tuple" 3
      template<typename _U1, typename _U2>

 __enable_if_t<__assignable<const _U1&, const _U2&>(), tuple&>
 operator=(const pair<_U1, _U2>& __in)
 noexcept(__nothrow_assignable<const _U1&, const _U2&>())
 {
   this->_M_head(*this) = __in.first;
   this->_M_tail(*this)._M_head(*this) = __in.second;
   return *this;
 }

      template<typename _U1, typename _U2>

 __enable_if_t<__assignable<_U1, _U2>(), tuple&>
 operator=(pair<_U1, _U2>&& __in)
 noexcept(__nothrow_assignable<_U1, _U2>())
 {
   this->_M_head(*this) = std::forward<_U1>(__in.first);
   this->_M_tail(*this)._M_head(*this) = std::forward<_U2>(__in.second);
   return *this;
 }
# 1743 "/usr/include/c++/13/tuple" 3
     
      void
      swap(tuple& __in)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
        __is_nothrow_swappable<_T2>>::value)
      { _Inherited::_M_swap(__in); }
# 1758 "/usr/include/c++/13/tuple" 3
    };



  template<typename... _Elements>
    struct tuple_size<tuple<_Elements...>>
    : public integral_constant<size_t, sizeof...(_Elements)> { };


  template<typename... _Types>
    inline constexpr size_t tuple_size_v<tuple<_Types...>>
      = sizeof...(_Types);

  template<typename... _Types>
    inline constexpr size_t tuple_size_v<const tuple<_Types...>>
      = sizeof...(_Types);



  template<size_t __i, typename... _Types>
    struct tuple_element<__i, tuple<_Types...>>
    {
      static_assert(__i < sizeof...(_Types), "tuple index must be in range");

      using type = typename _Nth_type<__i, _Types...>::type;
    };

  template<size_t __i, typename _Head, typename... _Tail>
    constexpr _Head&
    __get_helper(_Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }

  template<size_t __i, typename _Head, typename... _Tail>
    constexpr const _Head&
    __get_helper(const _Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }


  template<size_t __i, typename... _Types>
    __enable_if_t<(__i >= sizeof...(_Types))>
    __get_helper(const tuple<_Types...>&) = delete;


  template<size_t __i, typename... _Elements>
    constexpr __tuple_element_t<__i, tuple<_Elements...>>&
    get(tuple<_Elements...>& __t) noexcept
    { return std::__get_helper<__i>(__t); }


  template<size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&
    get(const tuple<_Elements...>& __t) noexcept
    { return std::__get_helper<__i>(__t); }


  template<size_t __i, typename... _Elements>
    constexpr __tuple_element_t<__i, tuple<_Elements...>>&&
    get(tuple<_Elements...>&& __t) noexcept
    {
      typedef __tuple_element_t<__i, tuple<_Elements...>> __element_type;
      return std::forward<__element_type>(std::__get_helper<__i>(__t));
    }


  template<size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&&
    get(const tuple<_Elements...>&& __t) noexcept
    {
      typedef __tuple_element_t<__i, tuple<_Elements...>> __element_type;
      return std::forward<const __element_type>(std::__get_helper<__i>(__t));
    }



  template<size_t __i, typename... _Elements>
    constexpr __enable_if_t<(__i >= sizeof...(_Elements))>
    get(const tuple<_Elements...>&) = delete;







  template <typename _Tp, typename... _Types>
    constexpr _Tp&
    get(tuple<_Types...>& __t) noexcept
    {
      constexpr size_t __idx = __find_uniq_type_in_pack<_Tp, _Types...>();
      static_assert(__idx < sizeof...(_Types),
   "the type T in std::get<T> must occur exactly once in the tuple");
      return std::__get_helper<__idx>(__t);
    }


  template <typename _Tp, typename... _Types>
    constexpr _Tp&&
    get(tuple<_Types...>&& __t) noexcept
    {
      constexpr size_t __idx = __find_uniq_type_in_pack<_Tp, _Types...>();
      static_assert(__idx < sizeof...(_Types),
   "the type T in std::get<T> must occur exactly once in the tuple");
      return std::forward<_Tp>(std::__get_helper<__idx>(__t));
    }


  template <typename _Tp, typename... _Types>
    constexpr const _Tp&
    get(const tuple<_Types...>& __t) noexcept
    {
      constexpr size_t __idx = __find_uniq_type_in_pack<_Tp, _Types...>();
      static_assert(__idx < sizeof...(_Types),
   "the type T in std::get<T> must occur exactly once in the tuple");
      return std::__get_helper<__idx>(__t);
    }



  template <typename _Tp, typename... _Types>
    constexpr const _Tp&&
    get(const tuple<_Types...>&& __t) noexcept
    {
      constexpr size_t __idx = __find_uniq_type_in_pack<_Tp, _Types...>();
      static_assert(__idx < sizeof...(_Types),
   "the type T in std::get<T> must occur exactly once in the tuple");
      return std::forward<const _Tp>(std::__get_helper<__idx>(__t));
    }



  template<typename _Tp, typename _Up, size_t __i, size_t __size>
    struct __tuple_compare
    {
      static constexpr bool
      __eq(const _Tp& __t, const _Up& __u)
      {
 return bool(std::get<__i>(__t) == std::get<__i>(__u))
   && __tuple_compare<_Tp, _Up, __i + 1, __size>::__eq(__t, __u);
      }

      static constexpr bool
      __less(const _Tp& __t, const _Up& __u)
      {
 return bool(std::get<__i>(__t) < std::get<__i>(__u))
   || (!bool(std::get<__i>(__u) < std::get<__i>(__t))
       && __tuple_compare<_Tp, _Up, __i + 1, __size>::__less(__t, __u));
      }
    };

  template<typename _Tp, typename _Up, size_t __size>
    struct __tuple_compare<_Tp, _Up, __size, __size>
    {
      static constexpr bool
      __eq(const _Tp&, const _Up&) { return true; }

      static constexpr bool
      __less(const _Tp&, const _Up&) { return false; }
    };

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator==(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    {
      static_assert(sizeof...(_TElements) == sizeof...(_UElements),
   "tuple objects can only be compared if they have equal sizes.");
      using __compare = __tuple_compare<tuple<_TElements...>,
     tuple<_UElements...>,
     0, sizeof...(_TElements)>;
      return __compare::__eq(__t, __u);
    }
# 1959 "/usr/include/c++/13/tuple" 3
  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator<(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    {
      static_assert(sizeof...(_TElements) == sizeof...(_UElements),
   "tuple objects can only be compared if they have equal sizes.");
      using __compare = __tuple_compare<tuple<_TElements...>,
     tuple<_UElements...>,
     0, sizeof...(_TElements)>;
      return __compare::__less(__t, __u);
    }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator!=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__t == __u); }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator>(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    { return __u < __t; }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator<=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__u < __t); }

  template<typename... _TElements, typename... _UElements>
    constexpr bool
    operator>=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__t < __u); }




  template<typename... _Elements>
    constexpr tuple<typename __decay_and_strip<_Elements>::__type...>
    make_tuple(_Elements&&... __args)
    {
      typedef tuple<typename __decay_and_strip<_Elements>::__type...>
 __result_type;
      return __result_type(std::forward<_Elements>(__args)...);
    }




  template<typename... _Elements>
    constexpr tuple<_Elements&&...>
    forward_as_tuple(_Elements&&... __args) noexcept
    { return tuple<_Elements&&...>(std::forward<_Elements>(__args)...); }




  template<typename _Tp, size_t _Nm> struct array;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr _Tp&
    get(array<_Tp, _Nm>&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr _Tp&&
    get(array<_Tp, _Nm>&&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr const _Tp&
    get(const array<_Tp, _Nm>&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr const _Tp&&
    get(const array<_Tp, _Nm>&&) noexcept;


  template<size_t, typename, typename, size_t>
    struct __make_tuple_impl;

  template<size_t _Idx, typename _Tuple, typename... _Tp, size_t _Nm>
    struct __make_tuple_impl<_Idx, tuple<_Tp...>, _Tuple, _Nm>
    : __make_tuple_impl<_Idx + 1,
   tuple<_Tp..., __tuple_element_t<_Idx, _Tuple>>,
   _Tuple, _Nm>
    { };

  template<size_t _Nm, typename _Tuple, typename... _Tp>
    struct __make_tuple_impl<_Nm, tuple<_Tp...>, _Tuple, _Nm>
    {
      typedef tuple<_Tp...> __type;
    };

  template<typename _Tuple>
    struct __do_make_tuple
    : __make_tuple_impl<0, tuple<>, _Tuple, tuple_size<_Tuple>::value>
    { };


  template<typename _Tuple>
    struct __make_tuple
    : public __do_make_tuple<__remove_cvref_t<_Tuple>>
    { };


  template<typename...>
    struct __combine_tuples;

  template<>
    struct __combine_tuples<>
    {
      typedef tuple<> __type;
    };

  template<typename... _Ts>
    struct __combine_tuples<tuple<_Ts...>>
    {
      typedef tuple<_Ts...> __type;
    };

  template<typename... _T1s, typename... _T2s, typename... _Rem>
    struct __combine_tuples<tuple<_T1s...>, tuple<_T2s...>, _Rem...>
    {
      typedef typename __combine_tuples<tuple<_T1s..., _T2s...>,
     _Rem...>::__type __type;
    };


  template<typename... _Tpls>
    struct __tuple_cat_result
    {
      typedef typename __combine_tuples
        <typename __make_tuple<_Tpls>::__type...>::__type __type;
    };



  template<typename...>
    struct __make_1st_indices;

  template<>
    struct __make_1st_indices<>
    {
      typedef _Index_tuple<> __type;
    };

  template<typename _Tp, typename... _Tpls>
    struct __make_1st_indices<_Tp, _Tpls...>
    {
      typedef typename _Build_index_tuple<tuple_size<
 typename remove_reference<_Tp>::type>::value>::__type __type;
    };




  template<typename _Ret, typename _Indices, typename... _Tpls>
    struct __tuple_concater;

  template<typename _Ret, size_t... _Is, typename _Tp, typename... _Tpls>
    struct __tuple_concater<_Ret, _Index_tuple<_Is...>, _Tp, _Tpls...>
    {
      template<typename... _Us>
        static constexpr _Ret
        _S_do(_Tp&& __tp, _Tpls&&... __tps, _Us&&... __us)
        {
   typedef typename __make_1st_indices<_Tpls...>::__type __idx;
   typedef __tuple_concater<_Ret, __idx, _Tpls...> __next;
   return __next::_S_do(std::forward<_Tpls>(__tps)...,
          std::forward<_Us>(__us)...,
          std::get<_Is>(std::forward<_Tp>(__tp))...);
 }
    };

  template<typename _Ret>
    struct __tuple_concater<_Ret, _Index_tuple<>>
    {
      template<typename... _Us>
 static constexpr _Ret
 _S_do(_Us&&... __us)
        {
   return _Ret(std::forward<_Us>(__us)...);
 }
    };

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



  template<typename... _Tpls, typename = typename
           enable_if<__and_<__is_tuple_like<_Tpls>...>::value>::type>
    constexpr auto
    tuple_cat(_Tpls&&... __tpls)
    -> typename __tuple_cat_result<_Tpls...>::__type
    {
      typedef typename __tuple_cat_result<_Tpls...>::__type __ret;
      typedef typename __make_1st_indices<_Tpls...>::__type __idx;
      typedef __tuple_concater<__ret, __idx, _Tpls...> __concater;
      return __concater::_S_do(std::forward<_Tpls>(__tpls)...);
    }




  template<typename... _Elements>
    constexpr tuple<_Elements&...>
    tie(_Elements&... __args) noexcept
    { return tuple<_Elements&...>(__args...); }


  template<typename... _Elements>
   
    inline


    typename enable_if<__and_<__is_swappable<_Elements>...>::value
      >::type



    swap(tuple<_Elements...>& __x, tuple<_Elements...>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
# 2198 "/usr/include/c++/13/tuple" 3
  template<typename... _Elements>
   
    typename enable_if<!__and_<__is_swappable<_Elements>...>::value>::type
    swap(tuple<_Elements...>&, tuple<_Elements...>&) = delete;






  struct _Swallow_assign
  {
    template<class _Tp>
      constexpr const _Swallow_assign&
      operator=(const _Tp&) const
      { return *this; }
  };
# 2233 "/usr/include/c++/13/tuple" 3
  inline constexpr _Swallow_assign ignore{};


  template<typename... _Types, typename _Alloc>
    struct uses_allocator<tuple<_Types...>, _Alloc> : true_type { };
# 2248 "/usr/include/c++/13/tuple" 3
  template<class _T1, class _T2>
    template<typename... _Args1, typename... _Args2>
     
      inline
      pair<_T1, _T2>::
      pair(piecewise_construct_t,
    tuple<_Args1...> __first, tuple<_Args2...> __second)
      : pair(__first, __second,
      typename _Build_index_tuple<sizeof...(_Args1)>::__type(),
      typename _Build_index_tuple<sizeof...(_Args2)>::__type())
      { }

  template<class _T1, class _T2>
    template<typename... _Args1, size_t... _Indexes1,
      typename... _Args2, size_t... _Indexes2>
      inline
      pair<_T1, _T2>::
      pair(tuple<_Args1...>& __tuple1, tuple<_Args2...>& __tuple2,
    _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>)
      : first(std::forward<_Args1>(std::get<_Indexes1>(__tuple1))...),
 second(std::forward<_Args2>(std::get<_Indexes2>(__tuple2))...)
      { }







  template<template<typename...> class _Trait, typename _Tp, typename _Tuple>
    inline constexpr bool __unpack_std_tuple = false;

  template<template<typename...> class _Trait, typename _Tp, typename... _Up>
    inline constexpr bool __unpack_std_tuple<_Trait, _Tp, tuple<_Up...>>
      = _Trait<_Tp, _Up...>::value;

  template<template<typename...> class _Trait, typename _Tp, typename... _Up>
    inline constexpr bool __unpack_std_tuple<_Trait, _Tp, tuple<_Up...>&>
      = _Trait<_Tp, _Up&...>::value;

  template<template<typename...> class _Trait, typename _Tp, typename... _Up>
    inline constexpr bool __unpack_std_tuple<_Trait, _Tp, const tuple<_Up...>>
      = _Trait<_Tp, const _Up...>::value;

  template<template<typename...> class _Trait, typename _Tp, typename... _Up>
    inline constexpr bool __unpack_std_tuple<_Trait, _Tp, const tuple<_Up...>&>
      = _Trait<_Tp, const _Up&...>::value;



  template <typename _Fn, typename _Tuple, size_t... _Idx>
    constexpr decltype(auto)
    __apply_impl(_Fn&& __f, _Tuple&& __t, index_sequence<_Idx...>)
    {
      return std::__invoke(std::forward<_Fn>(__f),
      std::get<_Idx>(std::forward<_Tuple>(__t))...);
    }

  template <typename _Fn, typename _Tuple>
    constexpr decltype(auto)
    apply(_Fn&& __f, _Tuple&& __t)
    noexcept(__unpack_std_tuple<is_nothrow_invocable, _Fn, _Tuple>)
    {
      using _Indices
 = make_index_sequence<tuple_size_v<remove_reference_t<_Tuple>>>;
      return std::__apply_impl(std::forward<_Fn>(__f),
          std::forward<_Tuple>(__t),
          _Indices{});
    }



  template <typename _Tp, typename _Tuple, size_t... _Idx>
    constexpr _Tp
    __make_from_tuple_impl(_Tuple&& __t, index_sequence<_Idx...>)
    { return _Tp(std::get<_Idx>(std::forward<_Tuple>(__t))...); }

  template <typename _Tp, typename _Tuple>
    constexpr _Tp
    make_from_tuple(_Tuple&& __t)
    noexcept(__unpack_std_tuple<is_nothrow_constructible, _Tp, _Tuple>)
    {
      constexpr size_t __n = tuple_size_v<remove_reference_t<_Tuple>>;

      if constexpr (__n == 1)
 {
   using _Elt = decltype(std::get<0>(std::declval<_Tuple>()));
   static_assert(!__reference_constructs_from_temporary(_Tp, _Elt));
 }

      return __make_from_tuple_impl<_Tp>(std::forward<_Tuple>(__t),
      make_index_sequence<__n>{});
    }
# 2358 "/usr/include/c++/13/tuple" 3

}
# 48 "/usr/include/c++/13/bits/memory_resource.h" 2 3


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

namespace pmr
{






  class memory_resource
  {
    static constexpr size_t _S_max_align = alignof(max_align_t);

  public:
    memory_resource() = default;
    memory_resource(const memory_resource&) = default;
    virtual ~memory_resource();

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

    [[nodiscard]]
    void*
    allocate(size_t __bytes, size_t __alignment = _S_max_align)
    __attribute__((__returns_nonnull__,__alloc_size__(2),__alloc_align__(3)))
    { return ::operator new(__bytes, do_allocate(__bytes, __alignment)); }

    void
    deallocate(void* __p, size_t __bytes, size_t __alignment = _S_max_align)
    __attribute__((__nonnull__))
    { return do_deallocate(__p, __bytes, __alignment); }

    [[nodiscard]]
    bool
    is_equal(const memory_resource& __other) const noexcept
    { return do_is_equal(__other); }

  private:
    virtual void*
    do_allocate(size_t __bytes, size_t __alignment) = 0;

    virtual void
    do_deallocate(void* __p, size_t __bytes, size_t __alignment) = 0;

    virtual bool
    do_is_equal(const memory_resource& __other) const noexcept = 0;
  };

  [[nodiscard]]
  inline bool
  operator==(const memory_resource& __a, const memory_resource& __b) noexcept
  { return &__a == &__b || __a.is_equal(__b); }


  [[nodiscard]]
  inline bool
  operator!=(const memory_resource& __a, const memory_resource& __b) noexcept
  { return !(__a == __b); }
# 119 "/usr/include/c++/13/bits/memory_resource.h" 3
  template<typename _Tp>
    class polymorphic_allocator
    {


      template<typename _Up>
 struct __not_pair { using type = void; };

      template<typename _Up1, typename _Up2>
 struct __not_pair<pair<_Up1, _Up2>> { };

    public:
      using value_type = _Tp;

      polymorphic_allocator() noexcept
      {
 extern memory_resource* get_default_resource() noexcept
   __attribute__((__returns_nonnull__));
 _M_resource = get_default_resource();
      }

      polymorphic_allocator(memory_resource* __r) noexcept
      __attribute__((__nonnull__))
      : _M_resource(__r)
      { ; }

      polymorphic_allocator(const polymorphic_allocator& __other) = default;

      template<typename _Up>
 polymorphic_allocator(const polymorphic_allocator<_Up>& __x) noexcept
 : _M_resource(__x.resource())
 { }

      polymorphic_allocator&
      operator=(const polymorphic_allocator&) = delete;

      [[nodiscard]]
      _Tp*
      allocate(size_t __n)
      __attribute__((__returns_nonnull__))
      {
 if ((__gnu_cxx::__int_traits<size_t>::__max / sizeof(_Tp)) < __n)
   std::__throw_bad_array_new_length();
 return static_cast<_Tp*>(_M_resource->allocate(__n * sizeof(_Tp),
             alignof(_Tp)));
      }

      void
      deallocate(_Tp* __p, size_t __n) noexcept
      __attribute__((__nonnull__))
      { _M_resource->deallocate(__p, __n * sizeof(_Tp), alignof(_Tp)); }
# 224 "/usr/include/c++/13/bits/memory_resource.h" 3
      template<typename _Tp1, typename... _Args>
 __attribute__((__nonnull__))
 typename __not_pair<_Tp1>::type
 construct(_Tp1* __p, _Args&&... __args)
 {


   using __use_tag
     = std::__uses_alloc_t<_Tp1, polymorphic_allocator, _Args...>;
   if constexpr (is_base_of_v<__uses_alloc0, __use_tag>)
     ::new(__p) _Tp1(std::forward<_Args>(__args)...);
   else if constexpr (is_base_of_v<__uses_alloc1_, __use_tag>)
     ::new(__p) _Tp1(allocator_arg, *this,
       std::forward<_Args>(__args)...);
   else
     ::new(__p) _Tp1(std::forward<_Args>(__args)..., *this);
 }

      template<typename _Tp1, typename _Tp2,
        typename... _Args1, typename... _Args2>
 __attribute__((__nonnull__))
 void
 construct(pair<_Tp1, _Tp2>* __p, piecewise_construct_t,
    tuple<_Args1...> __x, tuple<_Args2...> __y)
 {
   auto __x_tag =
     __use_alloc<_Tp1, polymorphic_allocator, _Args1...>(*this);
   auto __y_tag =
     __use_alloc<_Tp2, polymorphic_allocator, _Args2...>(*this);
   index_sequence_for<_Args1...> __x_i;
   index_sequence_for<_Args2...> __y_i;

   ::new(__p) pair<_Tp1, _Tp2>(piecewise_construct,
          _S_construct_p(__x_tag, __x_i, __x),
          _S_construct_p(__y_tag, __y_i, __y));
 }

      template<typename _Tp1, typename _Tp2>
 __attribute__((__nonnull__))
 void
 construct(pair<_Tp1, _Tp2>* __p)
 { this->construct(__p, piecewise_construct, tuple<>(), tuple<>()); }

      template<typename _Tp1, typename _Tp2, typename _Up, typename _Vp>
 __attribute__((__nonnull__))
 void
 construct(pair<_Tp1, _Tp2>* __p, _Up&& __x, _Vp&& __y)
 {
   this->construct(__p, piecewise_construct,
       std::forward_as_tuple(std::forward<_Up>(__x)),
       std::forward_as_tuple(std::forward<_Vp>(__y)));
 }

      template <typename _Tp1, typename _Tp2, typename _Up, typename _Vp>
 __attribute__((__nonnull__))
 void
 construct(pair<_Tp1, _Tp2>* __p, const std::pair<_Up, _Vp>& __pr)
 {
   this->construct(__p, piecewise_construct,
       std::forward_as_tuple(__pr.first),
       std::forward_as_tuple(__pr.second));
 }

      template<typename _Tp1, typename _Tp2, typename _Up, typename _Vp>
 __attribute__((__nonnull__))
 void
 construct(pair<_Tp1, _Tp2>* __p, pair<_Up, _Vp>&& __pr)
 {
   this->construct(__p, piecewise_construct,
       std::forward_as_tuple(std::forward<_Up>(__pr.first)),
       std::forward_as_tuple(std::forward<_Vp>(__pr.second)));
 }
# 307 "/usr/include/c++/13/bits/memory_resource.h" 3
      template<typename _Up>

 __attribute__((__nonnull__))
 void
 destroy(_Up* __p)
 { __p->~_Up(); }

      polymorphic_allocator
      select_on_container_copy_construction() const noexcept
      { return polymorphic_allocator(); }

      memory_resource*
      resource() const noexcept
      __attribute__((__returns_nonnull__))
      { return _M_resource; }



      [[nodiscard]]
      friend bool
      operator==(const polymorphic_allocator& __a,
   const polymorphic_allocator& __b) noexcept
      { return *__a.resource() == *__b.resource(); }


      [[nodiscard]]
      friend bool
      operator!=(const polymorphic_allocator& __a,
   const polymorphic_allocator& __b) noexcept
      { return !(__a == __b); }


    private:

      using __uses_alloc1_ = __uses_alloc1<polymorphic_allocator>;
      using __uses_alloc2_ = __uses_alloc2<polymorphic_allocator>;

      template<typename _Ind, typename... _Args>
 static tuple<_Args&&...>
 _S_construct_p(__uses_alloc0, _Ind, tuple<_Args...>& __t)
 { return std::move(__t); }

      template<size_t... _Ind, typename... _Args>
 static tuple<allocator_arg_t, polymorphic_allocator, _Args&&...>
 _S_construct_p(__uses_alloc1_ __ua, index_sequence<_Ind...>,
         tuple<_Args...>& __t)
 {
   return {
       allocator_arg, *__ua._M_a, std::get<_Ind>(std::move(__t))...
   };
 }

      template<size_t... _Ind, typename... _Args>
 static tuple<_Args&&..., polymorphic_allocator>
 _S_construct_p(__uses_alloc2_ __ua, index_sequence<_Ind...>,
         tuple<_Args...>& __t)
 { return { std::get<_Ind>(std::move(__t))..., *__ua._M_a }; }


      memory_resource* _M_resource;
    };

  template<typename _Tp1, typename _Tp2>
    [[nodiscard]]
    inline bool
    operator==(const polymorphic_allocator<_Tp1>& __a,
        const polymorphic_allocator<_Tp2>& __b) noexcept
    { return *__a.resource() == *__b.resource(); }


  template<typename _Tp1, typename _Tp2>
    [[nodiscard]]
    inline bool
    operator!=(const polymorphic_allocator<_Tp1>& __a,
        const polymorphic_allocator<_Tp2>& __b) noexcept
    { return !(__a == __b); }


}

  template<typename _Alloc> struct allocator_traits;


  template<typename _Tp>
    struct allocator_traits<pmr::polymorphic_allocator<_Tp>>
    {

      using allocator_type = pmr::polymorphic_allocator<_Tp>;


      using value_type = _Tp;


      using pointer = _Tp*;


      using const_pointer = const _Tp*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;





      using propagate_on_container_copy_assignment = false_type;
      using propagate_on_container_move_assignment = false_type;
      using propagate_on_container_swap = false_type;

      static allocator_type
      select_on_container_copy_construction(const allocator_type&) noexcept
      { return allocator_type(); }



      using is_always_equal = false_type;

      template<typename _Up>
 using rebind_alloc = pmr::polymorphic_allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<pmr::polymorphic_allocator<_Up>>;
# 446 "/usr/include/c++/13/bits/memory_resource.h" 3
      [[nodiscard]] static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 461 "/usr/include/c++/13/bits/memory_resource.h" 3
      [[nodiscard]] static pointer
      allocate(allocator_type& __a, size_type __n, const_void_pointer)
      { return __a.allocate(__n); }
# 473 "/usr/include/c++/13/bits/memory_resource.h" 3
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 488 "/usr/include/c++/13/bits/memory_resource.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type& __a, _Up* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }
# 500 "/usr/include/c++/13/bits/memory_resource.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type&, _Up* __p)
 noexcept(is_nothrow_destructible<_Up>::value)
 { __p->~_Up(); }





      static size_type
      max_size(const allocator_type&) noexcept
      { return size_t(-1) / sizeof(value_type); }
    };


}
# 59 "/usr/include/c++/13/string" 2 3
namespace std __attribute__ ((__visibility__ ("default")))
{

  namespace pmr {
    template<typename _CharT, typename _Traits = char_traits<_CharT>>
      using basic_string = std::basic_string<_CharT, _Traits,
          polymorphic_allocator<_CharT>>;
    using string = basic_string<char>;



    using u16string = basic_string<char16_t>;
    using u32string = basic_string<char32_t>;
    using wstring = basic_string<wchar_t>;
  }

}
# 41 "/usr/include/c++/13/bits/locale_classes.h" 2 3
# 1 "/usr/include/c++/13/ext/atomicity.h" 1 3
# 32 "/usr/include/c++/13/ext/atomicity.h" 3
       
# 33 "/usr/include/c++/13/ext/atomicity.h" 3


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr.h" 1 3
# 30 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr.h" 3
#pragma GCC visibility push(default)
# 148 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr.h" 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 1 3
# 35 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
# 1 "/usr/include/pthread.h" 1 3 4
# 22 "/usr/include/pthread.h" 3 4
# 1 "/usr/include/sched.h" 1 3 4
# 29 "/usr/include/sched.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 30 "/usr/include/sched.h" 2 3 4
# 43 "/usr/include/sched.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/sched.h" 1 3 4
# 80 "/usr/include/aarch64-linux-gnu/bits/sched.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_sched_param.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/types/struct_sched_param.h" 3 4
struct sched_param
{
  int sched_priority;
};
# 81 "/usr/include/aarch64-linux-gnu/bits/sched.h" 2 3 4

extern "C" {



extern int clone (int (*__fn) (void *__arg), void *__child_stack,
    int __flags, void *__arg, ...) noexcept (true);


extern int unshare (int __flags) noexcept (true);


extern int sched_getcpu (void) noexcept (true);


extern int getcpu (unsigned int *, unsigned int *) noexcept (true);


extern int setns (int __fd, int __nstype) noexcept (true);


}
# 44 "/usr/include/sched.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/cpu-set.h" 1 3 4
# 32 "/usr/include/aarch64-linux-gnu/bits/cpu-set.h" 3 4
typedef unsigned long int __cpu_mask;






typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;
# 115 "/usr/include/aarch64-linux-gnu/bits/cpu-set.h" 3 4
extern "C" {

extern int __sched_cpucount (size_t __setsize, const cpu_set_t *__setp)
     noexcept (true);
extern cpu_set_t *__sched_cpualloc (size_t __count) noexcept (true) ;
extern void __sched_cpufree (cpu_set_t *__set) noexcept (true);

}
# 45 "/usr/include/sched.h" 2 3 4






extern "C" {


extern int sched_setparam (__pid_t __pid, const struct sched_param *__param)
     noexcept (true);


extern int sched_getparam (__pid_t __pid, struct sched_param *__param) noexcept (true);


extern int sched_setscheduler (__pid_t __pid, int __policy,
          const struct sched_param *__param) noexcept (true);


extern int sched_getscheduler (__pid_t __pid) noexcept (true);


extern int sched_yield (void) noexcept (true);


extern int sched_get_priority_max (int __algorithm) noexcept (true);


extern int sched_get_priority_min (int __algorithm) noexcept (true);



extern int sched_rr_get_interval (__pid_t __pid, struct timespec *__t) noexcept (true);
# 130 "/usr/include/sched.h" 3 4
extern int sched_setaffinity (__pid_t __pid, size_t __cpusetsize,
         const cpu_set_t *__cpuset) noexcept (true);


extern int sched_getaffinity (__pid_t __pid, size_t __cpusetsize,
         cpu_set_t *__cpuset) noexcept (true);


}
# 23 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/time.h" 1 3 4
# 29 "/usr/include/time.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 30 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/time.h" 1 3 4
# 73 "/usr/include/aarch64-linux-gnu/bits/time.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/timex.h" 1 3 4
# 26 "/usr/include/aarch64-linux-gnu/bits/timex.h" 3 4
struct timex
{
# 58 "/usr/include/aarch64-linux-gnu/bits/timex.h" 3 4
  unsigned int modes;
  __syscall_slong_t offset;
  __syscall_slong_t freq;
  __syscall_slong_t maxerror;
  __syscall_slong_t esterror;
  int status;
  __syscall_slong_t constant;
  __syscall_slong_t precision;
  __syscall_slong_t tolerance;
  struct timeval time;
  __syscall_slong_t tick;
  __syscall_slong_t ppsfreq;
  __syscall_slong_t jitter;
  int shift;
  __syscall_slong_t stabil;
  __syscall_slong_t jitcnt;
  __syscall_slong_t calcnt;
  __syscall_slong_t errcnt;
  __syscall_slong_t stbcnt;

  int tai;


  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32;

};
# 74 "/usr/include/aarch64-linux-gnu/bits/time.h" 2 3 4

extern "C" {


extern int clock_adjtime (__clockid_t __clock_id, struct timex *__utx) noexcept (true) __attribute__ ((__nonnull__ (2)));
# 90 "/usr/include/aarch64-linux-gnu/bits/time.h" 3 4
}
# 34 "/usr/include/time.h" 2 3 4





# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_tm.h" 1 3 4






struct tm
{
  int tm_sec;
  int tm_min;
  int tm_hour;
  int tm_mday;
  int tm_mon;
  int tm_year;
  int tm_wday;
  int tm_yday;
  int tm_isdst;


  long int tm_gmtoff;
  const char *tm_zone;




};
# 40 "/usr/include/time.h" 2 3 4
# 48 "/usr/include/time.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_itimerspec.h" 1 3 4







struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
# 49 "/usr/include/time.h" 2 3 4
struct sigevent;
# 68 "/usr/include/time.h" 3 4
extern "C" {



extern clock_t clock (void) noexcept (true);



extern time_t time (time_t *__timer) noexcept (true);


extern double difftime (time_t __time1, time_t __time0)
     noexcept (true) __attribute__ ((__const__));


extern time_t mktime (struct tm *__tp) noexcept (true);
# 100 "/usr/include/time.h" 3 4
extern size_t strftime (char *__restrict __s, size_t __maxsize,
   const char *__restrict __format,
   const struct tm *__restrict __tp)
   noexcept (true) __attribute__ ((__nonnull__ (1, 3, 4)));




extern char *strptime (const char *__restrict __s,
         const char *__restrict __fmt, struct tm *__tp)
     noexcept (true);






extern size_t strftime_l (char *__restrict __s, size_t __maxsize,
     const char *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) noexcept (true);



extern char *strptime_l (const char *__restrict __s,
    const char *__restrict __fmt, struct tm *__tp,
    locale_t __loc) noexcept (true);






extern struct tm *gmtime (const time_t *__timer) noexcept (true);



extern struct tm *localtime (const time_t *__timer) noexcept (true);
# 155 "/usr/include/time.h" 3 4
extern struct tm *gmtime_r (const time_t *__restrict __timer,
       struct tm *__restrict __tp) noexcept (true);



extern struct tm *localtime_r (const time_t *__restrict __timer,
          struct tm *__restrict __tp) noexcept (true);
# 180 "/usr/include/time.h" 3 4
extern char *asctime (const struct tm *__tp) noexcept (true);



extern char *ctime (const time_t *__timer) noexcept (true);
# 198 "/usr/include/time.h" 3 4
extern char *asctime_r (const struct tm *__restrict __tp,
   char *__restrict __buf) noexcept (true);



extern char *ctime_r (const time_t *__restrict __timer,
        char *__restrict __buf) noexcept (true);
# 218 "/usr/include/time.h" 3 4
extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;




extern char *tzname[2];



extern void tzset (void) noexcept (true);



extern int daylight;
extern long int timezone;
# 247 "/usr/include/time.h" 3 4
extern time_t timegm (struct tm *__tp) noexcept (true);
# 264 "/usr/include/time.h" 3 4
extern time_t timelocal (struct tm *__tp) noexcept (true);







extern int dysize (int __year) noexcept (true) __attribute__ ((__const__));
# 282 "/usr/include/time.h" 3 4
extern int nanosleep (const struct timespec *__requested_time,
        struct timespec *__remaining);


extern int clock_getres (clockid_t __clock_id, struct timespec *__res) noexcept (true);


extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int clock_settime (clockid_t __clock_id, const struct timespec *__tp)
     noexcept (true) __attribute__ ((__nonnull__ (2)));
# 324 "/usr/include/time.h" 3 4
extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       const struct timespec *__req,
       struct timespec *__rem);
# 339 "/usr/include/time.h" 3 4
extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) noexcept (true);




extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) noexcept (true);


extern int timer_delete (timer_t __timerid) noexcept (true);



extern int timer_settime (timer_t __timerid, int __flags,
     const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) noexcept (true);


extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     noexcept (true);
# 377 "/usr/include/time.h" 3 4
extern int timer_getoverrun (timer_t __timerid) noexcept (true);






extern int timespec_get (struct timespec *__ts, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 400 "/usr/include/time.h" 3 4
extern int timespec_getres (struct timespec *__ts, int __base)
     noexcept (true);
# 426 "/usr/include/time.h" 3 4
extern int getdate_err;
# 435 "/usr/include/time.h" 3 4
extern struct tm *getdate (const char *__string);
# 449 "/usr/include/time.h" 3 4
extern int getdate_r (const char *__restrict __string,
        struct tm *__restrict __resbufp);


}
# 24 "/usr/include/pthread.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/setjmp.h" 1 3 4
# 30 "/usr/include/aarch64-linux-gnu/bits/setjmp.h" 3 4
__extension__ typedef unsigned long long __jmp_buf [22];
# 28 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 29 "/usr/include/pthread.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct___jmp_buf_tag.h" 1 3 4
# 26 "/usr/include/aarch64-linux-gnu/bits/types/struct___jmp_buf_tag.h" 3 4
struct __jmp_buf_tag
  {




    __jmp_buf __jmpbuf;
    int __mask_was_saved;
    __sigset_t __saved_mask;
  };
# 32 "/usr/include/pthread.h" 2 3 4





enum
{
  PTHREAD_CREATE_JOINABLE,

  PTHREAD_CREATE_DETACHED

};



enum
{
  PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_ADAPTIVE_NP

  ,
  PTHREAD_MUTEX_NORMAL = PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE = PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK = PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_DEFAULT = PTHREAD_MUTEX_NORMAL



  , PTHREAD_MUTEX_FAST_NP = PTHREAD_MUTEX_TIMED_NP

};




enum
{
  PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_STALLED_NP = PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_ROBUST,
  PTHREAD_MUTEX_ROBUST_NP = PTHREAD_MUTEX_ROBUST
};





enum
{
  PTHREAD_PRIO_NONE,
  PTHREAD_PRIO_INHERIT,
  PTHREAD_PRIO_PROTECT
};
# 104 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_RWLOCK_PREFER_READER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP,
  PTHREAD_RWLOCK_DEFAULT_NP = PTHREAD_RWLOCK_PREFER_READER_NP
};
# 124 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_INHERIT_SCHED,

  PTHREAD_EXPLICIT_SCHED

};



enum
{
  PTHREAD_SCOPE_SYSTEM,

  PTHREAD_SCOPE_PROCESS

};



enum
{
  PTHREAD_PROCESS_PRIVATE,

  PTHREAD_PROCESS_SHARED

};
# 159 "/usr/include/pthread.h" 3 4
struct _pthread_cleanup_buffer
{
  void (*__routine) (void *);
  void *__arg;
  int __canceltype;
  struct _pthread_cleanup_buffer *__prev;
};


enum
{
  PTHREAD_CANCEL_ENABLE,

  PTHREAD_CANCEL_DISABLE

};
enum
{
  PTHREAD_CANCEL_DEFERRED,

  PTHREAD_CANCEL_ASYNCHRONOUS

};
# 197 "/usr/include/pthread.h" 3 4
extern "C" {




extern int pthread_create (pthread_t *__restrict __newthread,
      const pthread_attr_t *__restrict __attr,
      void *(*__start_routine) (void *),
      void *__restrict __arg) noexcept (true) __attribute__ ((__nonnull__ (1, 3)));





extern void pthread_exit (void *__retval) __attribute__ ((__noreturn__));







extern int pthread_join (pthread_t __th, void **__thread_return);




extern int pthread_tryjoin_np (pthread_t __th, void **__thread_return) noexcept (true);
# 233 "/usr/include/pthread.h" 3 4
extern int pthread_timedjoin_np (pthread_t __th, void **__thread_return,
     const struct timespec *__abstime);
# 243 "/usr/include/pthread.h" 3 4
extern int pthread_clockjoin_np (pthread_t __th, void **__thread_return,
                                 clockid_t __clockid,
     const struct timespec *__abstime);
# 269 "/usr/include/pthread.h" 3 4
extern int pthread_detach (pthread_t __th) noexcept (true);



extern pthread_t pthread_self (void) noexcept (true) __attribute__ ((__const__));


extern int pthread_equal (pthread_t __thread1, pthread_t __thread2)
  noexcept (true) __attribute__ ((__const__));







extern int pthread_attr_init (pthread_attr_t *__attr) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_destroy (pthread_attr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getdetachstate (const pthread_attr_t *__attr,
     int *__detachstate)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setdetachstate (pthread_attr_t *__attr,
     int __detachstate)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getguardsize (const pthread_attr_t *__attr,
          size_t *__guardsize)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setguardsize (pthread_attr_t *__attr,
          size_t __guardsize)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getschedparam (const pthread_attr_t *__restrict __attr,
           struct sched_param *__restrict __param)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedparam (pthread_attr_t *__restrict __attr,
           const struct sched_param *__restrict
           __param) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_getschedpolicy (const pthread_attr_t *__restrict
     __attr, int *__restrict __policy)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedpolicy (pthread_attr_t *__attr, int __policy)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getinheritsched (const pthread_attr_t *__restrict
      __attr, int *__restrict __inherit)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setinheritsched (pthread_attr_t *__attr,
      int __inherit)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getscope (const pthread_attr_t *__restrict __attr,
      int *__restrict __scope)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setscope (pthread_attr_t *__attr, int __scope)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getstackaddr (const pthread_attr_t *__restrict
          __attr, void **__restrict __stackaddr)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__deprecated__));





extern int pthread_attr_setstackaddr (pthread_attr_t *__attr,
          void *__stackaddr)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__deprecated__));


extern int pthread_attr_getstacksize (const pthread_attr_t *__restrict
          __attr, size_t *__restrict __stacksize)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_attr_setstacksize (pthread_attr_t *__attr,
          size_t __stacksize)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getstack (const pthread_attr_t *__restrict __attr,
      void **__restrict __stackaddr,
      size_t *__restrict __stacksize)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2, 3)));




extern int pthread_attr_setstack (pthread_attr_t *__attr, void *__stackaddr,
      size_t __stacksize) noexcept (true) __attribute__ ((__nonnull__ (1)));





extern int pthread_attr_setaffinity_np (pthread_attr_t *__attr,
     size_t __cpusetsize,
     const cpu_set_t *__cpuset)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern int pthread_attr_getaffinity_np (const pthread_attr_t *__attr,
     size_t __cpusetsize,
     cpu_set_t *__cpuset)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));


extern int pthread_getattr_default_np (pthread_attr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_setsigmask_np (pthread_attr_t *__attr,
           const __sigset_t *sigmask);




extern int pthread_attr_getsigmask_np (const pthread_attr_t *__attr,
           __sigset_t *sigmask);







extern int pthread_setattr_default_np (const pthread_attr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int pthread_getattr_np (pthread_t __th, pthread_attr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (2)));







extern int pthread_setschedparam (pthread_t __target_thread, int __policy,
      const struct sched_param *__param)
     noexcept (true) __attribute__ ((__nonnull__ (3)));


extern int pthread_getschedparam (pthread_t __target_thread,
      int *__restrict __policy,
      struct sched_param *__restrict __param)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));


extern int pthread_setschedprio (pthread_t __target_thread, int __prio)
     noexcept (true);




extern int pthread_getname_np (pthread_t __target_thread, char *__buf,
          size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int pthread_setname_np (pthread_t __target_thread, const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (2)));





extern int pthread_getconcurrency (void) noexcept (true);


extern int pthread_setconcurrency (int __level) noexcept (true);



extern int pthread_yield (void) noexcept (true);

extern int pthread_yield (void) noexcept (true) __asm__ ("" "sched_yield")
  __attribute__ ((__deprecated__ ("pthread_yield is deprecated, use sched_yield instead")))
                                                      ;







extern int pthread_setaffinity_np (pthread_t __th, size_t __cpusetsize,
       const cpu_set_t *__cpuset)
     noexcept (true) __attribute__ ((__nonnull__ (3)));


extern int pthread_getaffinity_np (pthread_t __th, size_t __cpusetsize,
       cpu_set_t *__cpuset)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 509 "/usr/include/pthread.h" 3 4
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
# 521 "/usr/include/pthread.h" 3 4
extern int pthread_setcancelstate (int __state, int *__oldstate);



extern int pthread_setcanceltype (int __type, int *__oldtype);


extern int pthread_cancel (pthread_t __th);




extern void pthread_testcancel (void);




struct __cancel_jmp_buf_tag
{
  __jmp_buf __cancel_jmp_buf;
  int __mask_was_saved;
};

typedef struct
{
  struct __cancel_jmp_buf_tag __cancel_jmp_buf[1];
  void *__pad[4];
} __pthread_unwind_buf_t __attribute__ ((__aligned__));
# 557 "/usr/include/pthread.h" 3 4
struct __pthread_cleanup_frame
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
};




class __pthread_cleanup_class
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;

 public:
  __pthread_cleanup_class (void (*__fct) (void *), void *__arg)
    : __cancel_routine (__fct), __cancel_arg (__arg), __do_it (1) { }
  ~__pthread_cleanup_class () { if (__do_it) __cancel_routine (__cancel_arg); }
  void __setdoit (int __newval) { __do_it = __newval; }
  void __defer () { pthread_setcanceltype (PTHREAD_CANCEL_DEFERRED,
        &__cancel_type); }
  void __restore () const { pthread_setcanceltype (__cancel_type, 0); }
};
# 766 "/usr/include/pthread.h" 3 4
extern int __sigsetjmp_cancel (struct __cancel_jmp_buf_tag __env[1], int __savemask) noexcept (true) __asm__ ("" "__sigsetjmp")


                     __attribute__ ((__returns_twice__));
# 781 "/usr/include/pthread.h" 3 4
extern int pthread_mutex_init (pthread_mutex_t *__mutex,
          const pthread_mutexattr_t *__mutexattr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_destroy (pthread_mutex_t *__mutex)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_trylock (pthread_mutex_t *__mutex)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_lock (pthread_mutex_t *__mutex)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int pthread_mutex_timedlock (pthread_mutex_t *__restrict __mutex,
        const struct timespec *__restrict
        __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
# 817 "/usr/include/pthread.h" 3 4
extern int pthread_mutex_clocklock (pthread_mutex_t *__restrict __mutex,
        clockid_t __clockid,
        const struct timespec *__restrict
        __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 835 "/usr/include/pthread.h" 3 4
extern int pthread_mutex_unlock (pthread_mutex_t *__mutex)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutex_getprioceiling (const pthread_mutex_t *
      __restrict __mutex,
      int *__restrict __prioceiling)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutex_setprioceiling (pthread_mutex_t *__restrict __mutex,
      int __prioceiling,
      int *__restrict __old_ceiling)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));




extern int pthread_mutex_consistent (pthread_mutex_t *__mutex)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_consistent_np (pthread_mutex_t *) noexcept (true) __asm__ ("" "pthread_mutex_consistent")
                                __attribute__ ((__nonnull__ (1)))
  __attribute__ ((__deprecated__ ("pthread_mutex_consistent_np is deprecated, use pthread_mutex_consistent")))
                                                                         ;
# 874 "/usr/include/pthread.h" 3 4
extern int pthread_mutexattr_init (pthread_mutexattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_destroy (pthread_mutexattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getpshared (const pthread_mutexattr_t *
      __restrict __attr,
      int *__restrict __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setpshared (pthread_mutexattr_t *__attr,
      int __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_gettype (const pthread_mutexattr_t *__restrict
          __attr, int *__restrict __kind)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_mutexattr_settype (pthread_mutexattr_t *__attr, int __kind)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getprotocol (const pthread_mutexattr_t *
       __restrict __attr,
       int *__restrict __protocol)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutexattr_setprotocol (pthread_mutexattr_t *__attr,
       int __protocol)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getprioceiling (const pthread_mutexattr_t *
          __restrict __attr,
          int *__restrict __prioceiling)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setprioceiling (pthread_mutexattr_t *__attr,
          int __prioceiling)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getrobust (const pthread_mutexattr_t *__attr,
     int *__robustness)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_getrobust_np (pthread_mutexattr_t *, int *) noexcept (true) __asm__ ("" "pthread_mutexattr_getrobust")

                                   __attribute__ ((__nonnull__ (1)))
  __attribute__ ((__deprecated__ ("pthread_mutexattr_getrobust_np is deprecated, use pthread_mutexattr_getrobust")))
                                                                               ;






extern int pthread_mutexattr_setrobust (pthread_mutexattr_t *__attr,
     int __robustness)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_setrobust_np (pthread_mutexattr_t *, int) noexcept (true) __asm__ ("" "pthread_mutexattr_setrobust")

                                   __attribute__ ((__nonnull__ (1)))
  __attribute__ ((__deprecated__ ("pthread_mutexattr_setrobust_np is deprecated, use pthread_mutexattr_setrobust")))
                                                                               ;
# 967 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_init (pthread_rwlock_t *__restrict __rwlock,
    const pthread_rwlockattr_t *__restrict
    __attr) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_destroy (pthread_rwlock_t *__rwlock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_rdlock (pthread_rwlock_t *__rwlock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_tryrdlock (pthread_rwlock_t *__rwlock)
  noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int pthread_rwlock_timedrdlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
# 1004 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_clockrdlock (pthread_rwlock_t *__restrict __rwlock,
           clockid_t __clockid,
           const struct timespec *__restrict
           __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 1023 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_wrlock (pthread_rwlock_t *__rwlock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_trywrlock (pthread_rwlock_t *__rwlock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int pthread_rwlock_timedwrlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
# 1051 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_clockwrlock (pthread_rwlock_t *__restrict __rwlock,
           clockid_t __clockid,
           const struct timespec *__restrict
           __abstime) noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 1071 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_unlock (pthread_rwlock_t *__rwlock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));





extern int pthread_rwlockattr_init (pthread_rwlockattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_destroy (pthread_rwlockattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getpshared (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setpshared (pthread_rwlockattr_t *__attr,
       int __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getkind_np (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pref)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setkind_np (pthread_rwlockattr_t *__attr,
       int __pref) noexcept (true) __attribute__ ((__nonnull__ (1)));







extern int pthread_cond_init (pthread_cond_t *__restrict __cond,
         const pthread_condattr_t *__restrict __cond_attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_destroy (pthread_cond_t *__cond)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_signal (pthread_cond_t *__cond)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_broadcast (pthread_cond_t *__cond)
     noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int pthread_cond_wait (pthread_cond_t *__restrict __cond,
         pthread_mutex_t *__restrict __mutex)
     __attribute__ ((__nonnull__ (1, 2)));
# 1145 "/usr/include/pthread.h" 3 4
extern int pthread_cond_timedwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       const struct timespec *__restrict __abstime)
     __attribute__ ((__nonnull__ (1, 2, 3)));
# 1171 "/usr/include/pthread.h" 3 4
extern int pthread_cond_clockwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       __clockid_t __clock_id,
       const struct timespec *__restrict __abstime)
     __attribute__ ((__nonnull__ (1, 2, 4)));
# 1194 "/usr/include/pthread.h" 3 4
extern int pthread_condattr_init (pthread_condattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_destroy (pthread_condattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_getpshared (const pthread_condattr_t *
     __restrict __attr,
     int *__restrict __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setpshared (pthread_condattr_t *__attr,
     int __pshared) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_condattr_getclock (const pthread_condattr_t *
          __restrict __attr,
          __clockid_t *__restrict __clock_id)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setclock (pthread_condattr_t *__attr,
          __clockid_t __clock_id)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1230 "/usr/include/pthread.h" 3 4
extern int pthread_spin_init (pthread_spinlock_t *__lock, int __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_destroy (pthread_spinlock_t *__lock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_lock (pthread_spinlock_t *__lock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_trylock (pthread_spinlock_t *__lock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_unlock (pthread_spinlock_t *__lock)
     noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int pthread_barrier_init (pthread_barrier_t *__restrict __barrier,
     const pthread_barrierattr_t *__restrict
     __attr, unsigned int __count)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_destroy (pthread_barrier_t *__barrier)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_wait (pthread_barrier_t *__barrier)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int pthread_barrierattr_init (pthread_barrierattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_destroy (pthread_barrierattr_t *__attr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_getpshared (const pthread_barrierattr_t *
        __restrict __attr,
        int *__restrict __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_barrierattr_setpshared (pthread_barrierattr_t *__attr,
        int __pshared)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1297 "/usr/include/pthread.h" 3 4
extern int pthread_key_create (pthread_key_t *__key,
          void (*__destr_function) (void *))
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int pthread_key_delete (pthread_key_t __key) noexcept (true);


extern void *pthread_getspecific (pthread_key_t __key) noexcept (true);


extern int pthread_setspecific (pthread_key_t __key,
    const void *__pointer)
  noexcept (true) __attribute__ ((__access__ (__none__, 2)));




extern int pthread_getcpuclockid (pthread_t __thread_id,
      __clockid_t *__clock_id)
     noexcept (true) __attribute__ ((__nonnull__ (2)));
# 1332 "/usr/include/pthread.h" 3 4
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) noexcept (true);
# 1346 "/usr/include/pthread.h" 3 4
}
# 36 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 2 3
# 47 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
typedef pthread_t __gthread_t;
typedef pthread_key_t __gthread_key_t;
typedef pthread_once_t __gthread_once_t;
typedef pthread_mutex_t __gthread_mutex_t;
typedef pthread_mutex_t __gthread_recursive_mutex_t;
typedef pthread_cond_t __gthread_cond_t;
typedef struct timespec __gthread_time_t;
# 102 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3



































# 299 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
static inline int
__gthread_active_p (void)
{
  return 1;
}
# 659 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
static inline int
__gthread_create (__gthread_t *__threadid, void *(*__func) (void*),
    void *__args)
{
  return pthread_create (__threadid, __null, __func, __args);
}

static inline int
__gthread_join (__gthread_t __threadid, void **__value_ptr)
{
  return pthread_join (__threadid, __value_ptr);
}

static inline int
__gthread_detach (__gthread_t __threadid)
{
  return pthread_detach (__threadid);
}

static inline int
__gthread_equal (__gthread_t __t1, __gthread_t __t2)
{
  return pthread_equal (__t1, __t2);
}

static inline __gthread_t
__gthread_self (void)
{
  return pthread_self ();
}

static inline int
__gthread_yield (void)
{
  return sched_yield ();
}

static inline int
__gthread_once (__gthread_once_t *__once, void (*__func) (void))
{
  if (__gthread_active_p ())
    return pthread_once (__once, __func);
  else
    return -1;
}

static inline int
__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *))
{
  return pthread_key_create (__key, __dtor);
}

static inline int
__gthread_key_delete (__gthread_key_t __key)
{
  return pthread_key_delete (__key);
}

static inline void *
__gthread_getspecific (__gthread_key_t __key)
{
  return pthread_getspecific (__key);
}

static inline int
__gthread_setspecific (__gthread_key_t __key, const void *__ptr)
{
  return pthread_setspecific (__key, __ptr);
}

static inline void
__gthread_mutex_init_function (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    pthread_mutex_init (__mutex, __null);
}

static inline int
__gthread_mutex_destroy (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return pthread_mutex_destroy (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_lock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return pthread_mutex_lock (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_trylock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return pthread_mutex_trylock (__mutex);
  else
    return 0;
}


static inline int
__gthread_mutex_timedlock (__gthread_mutex_t *__mutex,
      const __gthread_time_t *__abs_timeout)
{
  if (__gthread_active_p ())
    return pthread_mutex_timedlock (__mutex, __abs_timeout);
  else
    return 0;
}


static inline int
__gthread_mutex_unlock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return pthread_mutex_unlock (__mutex);
  else
    return 0;
}
# 808 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
static inline int
__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_lock (__mutex);
}

static inline int
__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_trylock (__mutex);
}


static inline int
__gthread_recursive_mutex_timedlock (__gthread_recursive_mutex_t *__mutex,
         const __gthread_time_t *__abs_timeout)
{
  return __gthread_mutex_timedlock (__mutex, __abs_timeout);
}


static inline int
__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_unlock (__mutex);
}

static inline int
__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_destroy (__mutex);
}
# 850 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr-default.h" 3
static inline int
__gthread_cond_broadcast (__gthread_cond_t *__cond)
{
  return pthread_cond_broadcast (__cond);
}

static inline int
__gthread_cond_signal (__gthread_cond_t *__cond)
{
  return pthread_cond_signal (__cond);
}

static inline int
__gthread_cond_wait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex)
{
  return pthread_cond_wait (__cond, __mutex);
}

static inline int
__gthread_cond_timedwait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex,
     const __gthread_time_t *__abs_timeout)
{
  return pthread_cond_timedwait (__cond, __mutex, __abs_timeout);
}

static inline int
__gthread_cond_wait_recursive (__gthread_cond_t *__cond,
          __gthread_recursive_mutex_t *__mutex)
{
  return __gthread_cond_wait (__cond, __mutex);
}

static inline int
__gthread_cond_destroy (__gthread_cond_t* __cond)
{
  return pthread_cond_destroy (__cond);
}
# 149 "/usr/include/aarch64-linux-gnu/c++/13/bits/gthr.h" 2 3


#pragma GCC visibility pop
# 36 "/usr/include/c++/13/ext/atomicity.h" 2 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/atomic_word.h" 1 3
# 32 "/usr/include/aarch64-linux-gnu/c++/13/bits/atomic_word.h" 3
typedef int _Atomic_word;
# 37 "/usr/include/c++/13/ext/atomicity.h" 2 3

# 1 "/usr/include/aarch64-linux-gnu/sys/single_threaded.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/sys/single_threaded.h" 3 4
extern "C" {




extern char __libc_single_threaded;

}
# 39 "/usr/include/c++/13/ext/atomicity.h" 2 3


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


  __attribute__((__always_inline__))
  inline bool
  __is_single_threaded() noexcept
  {



    return ::__libc_single_threaded;



  }






  inline _Atomic_word
  __attribute__((__always_inline__))
  __exchange_and_add(volatile _Atomic_word* __mem, int __val)
  { return __atomic_fetch_add(__mem, __val, 4); }

  inline void
  __attribute__((__always_inline__))
  __atomic_add(volatile _Atomic_word* __mem, int __val)
  { __atomic_fetch_add(__mem, __val, 4); }
# 80 "/usr/include/c++/13/ext/atomicity.h" 3
  inline _Atomic_word
  __attribute__((__always_inline__))
  __exchange_and_add_single(_Atomic_word* __mem, int __val)
  {
    _Atomic_word __result = *__mem;
    *__mem += __val;
    return __result;
  }

  inline void
  __attribute__((__always_inline__))
  __atomic_add_single(_Atomic_word* __mem, int __val)
  { *__mem += __val; }

  inline _Atomic_word
  __attribute__ ((__always_inline__))
  __exchange_and_add_dispatch(_Atomic_word* __mem, int __val)
  {
    if (__is_single_threaded())
      return __exchange_and_add_single(__mem, __val);
    else
      return __exchange_and_add(__mem, __val);
  }

  inline void
  __attribute__ ((__always_inline__))
  __atomic_add_dispatch(_Atomic_word* __mem, int __val)
  {
    if (__is_single_threaded())
      __atomic_add_single(__mem, __val);
    else
      __atomic_add(__mem, __val);
  }


}
# 42 "/usr/include/c++/13/bits/locale_classes.h" 2 3

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

# 62 "/usr/include/c++/13/bits/locale_classes.h" 3
  class locale
  {
  public:


    typedef int category;


    class facet;
    class id;
    class _Impl;

    friend class facet;
    friend class _Impl;

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Facet>
      friend const _Facet*
      __try_use_facet(const locale&) noexcept;

    template<typename _Cache>
      friend struct __use_cache;
# 102 "/usr/include/c++/13/bits/locale_classes.h" 3
    static const category none = 0;
    static const category ctype = 1L << 0;
    static const category numeric = 1L << 1;
    static const category collate = 1L << 2;
    static const category time = 1L << 3;
    static const category monetary = 1L << 4;
    static const category messages = 1L << 5;
    static const category all = (ctype | numeric | collate |
        time | monetary | messages);
# 121 "/usr/include/c++/13/bits/locale_classes.h" 3
    locale() throw();
# 130 "/usr/include/c++/13/bits/locale_classes.h" 3
    locale(const locale& __other) throw();
# 140 "/usr/include/c++/13/bits/locale_classes.h" 3
    explicit
    locale(const char* __s);
# 155 "/usr/include/c++/13/bits/locale_classes.h" 3
    locale(const locale& __base, const char* __s, category __cat);
# 166 "/usr/include/c++/13/bits/locale_classes.h" 3
    explicit
    locale(const std::string& __s) : locale(__s.c_str()) { }
# 181 "/usr/include/c++/13/bits/locale_classes.h" 3
    locale(const locale& __base, const std::string& __s, category __cat)
    : locale(__base, __s.c_str(), __cat) { }
# 196 "/usr/include/c++/13/bits/locale_classes.h" 3
    locale(const locale& __base, const locale& __add, category __cat);
# 209 "/usr/include/c++/13/bits/locale_classes.h" 3
    template<typename _Facet>
      locale(const locale& __other, _Facet* __f);


    ~locale() throw();
# 223 "/usr/include/c++/13/bits/locale_classes.h" 3
    const locale&
    operator=(const locale& __other) throw();
# 238 "/usr/include/c++/13/bits/locale_classes.h" 3
    template<typename _Facet>
      locale
      combine(const locale& __other) const;






    __attribute ((__abi_tag__ ("cxx11")))
    string
    name() const;
# 258 "/usr/include/c++/13/bits/locale_classes.h" 3
    bool
    operator==(const locale& __other) const throw();
# 268 "/usr/include/c++/13/bits/locale_classes.h" 3
    bool
    operator!=(const locale& __other) const throw()
    { return !(this->operator==(__other)); }
# 288 "/usr/include/c++/13/bits/locale_classes.h" 3
    template<typename _Char, typename _Traits, typename _Alloc>
      bool
      operator()(const basic_string<_Char, _Traits, _Alloc>& __s1,
   const basic_string<_Char, _Traits, _Alloc>& __s2) const;
# 304 "/usr/include/c++/13/bits/locale_classes.h" 3
    static locale
    global(const locale& __loc);




    static const locale&
    classic();

  private:

    _Impl* _M_impl;


    static _Impl* _S_classic;


    static _Impl* _S_global;





    static const char* const* const _S_categories;
# 339 "/usr/include/c++/13/bits/locale_classes.h" 3
    enum { _S_categories_size = 6 + 6 };


    static __gthread_once_t _S_once;


    explicit
    locale(_Impl*) throw();

    static void
    _S_initialize();

    static void
    _S_initialize_once() throw();

    static category
    _S_normalize_category(category);

    void
    _M_coalesce(const locale& __base, const locale& __add, category __cat);


    static const id* const _S_twinned_facets[];

  };
# 377 "/usr/include/c++/13/bits/locale_classes.h" 3
  class locale::facet
  {
  private:
    friend class locale;
    friend class locale::_Impl;

    mutable _Atomic_word _M_refcount;


    static __c_locale _S_c_locale;


    static const char _S_c_name[2];


    static __gthread_once_t _S_once;


    static void
    _S_initialize_once();

  protected:
# 408 "/usr/include/c++/13/bits/locale_classes.h" 3
    explicit
    facet(size_t __refs = 0) throw() : _M_refcount(__refs ? 1 : 0)
    { }


    virtual
    ~facet();

    static void
    _S_create_c_locale(__c_locale& __cloc, const char* __s,
         __c_locale __old = 0);

    static __c_locale
    _S_clone_c_locale(__c_locale& __cloc) throw();

    static void
    _S_destroy_c_locale(__c_locale& __cloc);

    static __c_locale
    _S_lc_ctype_c_locale(__c_locale __cloc, const char* __s);



    static __c_locale
    _S_get_c_locale();

    __attribute__ ((__const__)) static const char*
    _S_get_c_name() throw();
# 444 "/usr/include/c++/13/bits/locale_classes.h" 3
    facet(const facet&) = delete;

    facet&
    operator=(const facet&) = delete;


  private:
    void
    _M_add_reference() const throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() const throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    const facet* _M_sso_shim(const id*) const;
    const facet* _M_cow_shim(const id*) const;

  protected:
    class __shim;
  };
# 489 "/usr/include/c++/13/bits/locale_classes.h" 3
  class locale::id
  {
  private:
    friend class locale;
    friend class locale::_Impl;

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();

    template<typename _Facet>
      friend const _Facet*
      __try_use_facet(const locale&) noexcept;




    mutable size_t _M_index;


    static _Atomic_word _S_refcount;

    void
    operator=(const id&);

    id(const id&);

  public:



    id() { }

    size_t
    _M_id() const throw();
  };



  class locale::_Impl
  {
  public:

    friend class locale;
    friend class locale::facet;

    template<typename _Facet>
      friend bool
      has_facet(const locale&) throw();

    template<typename _Facet>
      friend const _Facet&
      use_facet(const locale&);

    template<typename _Facet>
      friend const _Facet*
      __try_use_facet(const locale&) noexcept;

    template<typename _Cache>
      friend struct __use_cache;

  private:

    _Atomic_word _M_refcount;
    const facet** _M_facets;
    size_t _M_facets_size;
    const facet** _M_caches;
    char** _M_names;
    static const locale::id* const _S_id_ctype[];
    static const locale::id* const _S_id_numeric[];
    static const locale::id* const _S_id_collate[];
    static const locale::id* const _S_id_time[];
    static const locale::id* const _S_id_monetary[];
    static const locale::id* const _S_id_messages[];
    static const locale::id* const* const _S_facet_categories[];

    void
    _M_add_reference() throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    _Impl(const _Impl&, size_t);
    _Impl(const char*, size_t);
    _Impl(size_t) throw();

   ~_Impl() throw();

    _Impl(const _Impl&);

    void
    operator=(const _Impl&);

    bool
    _M_check_same_name()
    {
      bool __ret = true;
      if (_M_names[1])

 for (size_t __i = 0; __ret && __i < _S_categories_size - 1; ++__i)
   __ret = __builtin_strcmp(_M_names[__i], _M_names[__i + 1]) == 0;
      return __ret;
    }

    void
    _M_replace_categories(const _Impl*, category);

    void
    _M_replace_category(const _Impl*, const locale::id* const*);

    void
    _M_replace_facet(const _Impl*, const locale::id*);

    void
    _M_install_facet(const locale::id*, const facet*);

    template<typename _Facet>
      void
      _M_init_facet(_Facet* __facet)
      { _M_install_facet(&_Facet::id, __facet); }

    template<typename _Facet>
      void
      _M_init_facet_unchecked(_Facet* __facet)
      {
 __facet->_M_add_reference();
 _M_facets[_Facet::id._M_id()] = __facet;
      }

    void
    _M_install_cache(const facet*, size_t);

    void _M_init_extra(facet**);
    void _M_init_extra(void*, void*, const char*, const char*);




  };
# 659 "/usr/include/c++/13/bits/locale_classes.h" 3
  template<typename _CharT>
    class __cxx11:: collate : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


    protected:


      __c_locale _M_c_locale_collate;

    public:

      static locale::id id;
# 686 "/usr/include/c++/13/bits/locale_classes.h" 3
      explicit
      collate(size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_get_c_locale())
      { }
# 700 "/usr/include/c++/13/bits/locale_classes.h" 3
      explicit
      collate(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_clone_c_locale(__cloc))
      { }
# 717 "/usr/include/c++/13/bits/locale_classes.h" 3
      int
      compare(const _CharT* __lo1, const _CharT* __hi1,
       const _CharT* __lo2, const _CharT* __hi2) const
      { return this->do_compare(__lo1, __hi1, __lo2, __hi2); }
# 736 "/usr/include/c++/13/bits/locale_classes.h" 3
      string_type
      transform(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_transform(__lo, __hi); }
# 750 "/usr/include/c++/13/bits/locale_classes.h" 3
      long
      hash(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_hash(__lo, __hi); }


      int
      _M_compare(const _CharT*, const _CharT*) const throw();

      size_t
      _M_transform(_CharT*, const _CharT*, size_t) const throw();

  protected:

      virtual
      ~collate()
      { _S_destroy_c_locale(_M_c_locale_collate); }
# 779 "/usr/include/c++/13/bits/locale_classes.h" 3
      virtual int
      do_compare(const _CharT* __lo1, const _CharT* __hi1,
   const _CharT* __lo2, const _CharT* __hi2) const;
# 793 "/usr/include/c++/13/bits/locale_classes.h" 3
      virtual string_type
      do_transform(const _CharT* __lo, const _CharT* __hi) const;
# 806 "/usr/include/c++/13/bits/locale_classes.h" 3
      virtual long
      do_hash(const _CharT* __lo, const _CharT* __hi) const;
    };

  template<typename _CharT>
    locale::id collate<_CharT>::id;


  template<>
    int
    collate<char>::_M_compare(const char*, const char*) const throw();

  template<>
    size_t
    collate<char>::_M_transform(char*, const char*, size_t) const throw();


  template<>
    int
    collate<wchar_t>::_M_compare(const wchar_t*, const wchar_t*) const throw();

  template<>
    size_t
    collate<wchar_t>::_M_transform(wchar_t*, const wchar_t*, size_t) const throw();



  template<typename _CharT>
    class __cxx11:: collate_byname : public collate<_CharT>
    {
    public:


      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


      explicit
      collate_byname(const char* __s, size_t __refs = 0)
      : collate<_CharT>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     this->_S_destroy_c_locale(this->_M_c_locale_collate);
     this->_S_create_c_locale(this->_M_c_locale_collate, __s);
   }
      }


      explicit
      collate_byname(const string& __s, size_t __refs = 0)
      : collate_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~collate_byname() { }
    };


}

# 1 "/usr/include/c++/13/bits/locale_classes.tcc" 1 3
# 37 "/usr/include/c++/13/bits/locale_classes.tcc" 3
       
# 38 "/usr/include/c++/13/bits/locale_classes.tcc" 3

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


  template<typename _Facet>
    locale::
    locale(const locale& __other, _Facet* __f)
    {
      _M_impl = new _Impl(*__other._M_impl, 1);

      try
 { _M_impl->_M_install_facet(&_Facet::id, __f); }
      catch(...)
 {
   _M_impl->_M_remove_reference();
   throw;
 }
      delete [] _M_impl->_M_names[0];
      _M_impl->_M_names[0] = 0;
    }

  template<typename _Facet>
    locale
    locale::
    combine(const locale& __other) const
    {
      _Impl* __tmp = new _Impl(*_M_impl, 1);
      try
 {
   __tmp->_M_replace_facet(__other._M_impl, &_Facet::id);
 }
      catch(...)
 {
   __tmp->_M_remove_reference();
   throw;
 }
      return locale(__tmp);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    bool
    locale::
    operator()(const basic_string<_CharT, _Traits, _Alloc>& __s1,
        const basic_string<_CharT, _Traits, _Alloc>& __s2) const
    {
      typedef std::collate<_CharT> __collate_type;
      const __collate_type& __collate = use_facet<__collate_type>(*this);
      return (__collate.compare(__s1.data(), __s1.data() + __s1.length(),
    __s2.data(), __s2.data() + __s2.length()) < 0);
    }

  template<typename _Facet>
    inline const _Facet*
    __try_use_facet(const locale& __loc) noexcept
    {
      const size_t __i = _Facet::id._M_id();
      const locale::facet** __facets = __loc._M_impl->_M_facets;







      if constexpr (__is_same(_Facet, ctype<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, num_get<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, num_put<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, codecvt<char, char, mbstate_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, collate<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, moneypunct<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, moneypunct<char, true>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, money_get<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, money_put<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, numpunct<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, time_get<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, time_put<char>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, messages<char>)) return static_cast<const _Facet*>(__facets[__i]);


      if constexpr (__is_same(_Facet, ctype<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, num_get<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, num_put<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, codecvt<wchar_t, char, mbstate_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, collate<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, moneypunct<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, moneypunct<wchar_t, true>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, money_get<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, money_put<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, numpunct<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, time_get<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, time_put<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, messages<wchar_t>)) return static_cast<const _Facet*>(__facets[__i]);


      if constexpr (__is_same(_Facet, codecvt<char16_t, char, mbstate_t>)) return static_cast<const _Facet*>(__facets[__i]);
      if constexpr (__is_same(_Facet, codecvt<char32_t, char, mbstate_t>)) return static_cast<const _Facet*>(__facets[__i]);




      if (__i >= __loc._M_impl->_M_facets_size || !__facets[__i])
 return 0;


      return dynamic_cast<const _Facet*>(__facets[__i]);



    }
# 161 "/usr/include/c++/13/bits/locale_classes.tcc" 3
  template<typename _Facet>
    inline bool
    has_facet(const locale& __loc) throw()
    {

      static_assert(__is_base_of(locale::facet, _Facet),
      "template argument must be derived from locale::facet");



      return std::__try_use_facet<_Facet>(__loc) != 0;
    }
# 188 "/usr/include/c++/13/bits/locale_classes.tcc" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdangling-reference"
  template<typename _Facet>
    inline const _Facet&
    use_facet(const locale& __loc)
    {

      static_assert(__is_base_of(locale::facet, _Facet),
      "template argument must be derived from locale::facet");



      if (const _Facet* __f = std::__try_use_facet<_Facet>(__loc))
 return *__f;
      __throw_bad_cast();
    }
#pragma GCC diagnostic pop



  template<typename _CharT>
    int
    collate<_CharT>::_M_compare(const _CharT*, const _CharT*) const throw ()
    { return 0; }


  template<typename _CharT>
    size_t
    collate<_CharT>::_M_transform(_CharT*, const _CharT*, size_t) const throw ()
    { return 0; }

  template<typename _CharT>
    int
    collate<_CharT>::
    do_compare(const _CharT* __lo1, const _CharT* __hi1,
        const _CharT* __lo2, const _CharT* __hi2) const
    {


      const string_type __one(__lo1, __hi1);
      const string_type __two(__lo2, __hi2);

      const _CharT* __p = __one.c_str();
      const _CharT* __pend = __one.data() + __one.length();
      const _CharT* __q = __two.c_str();
      const _CharT* __qend = __two.data() + __two.length();




      for (;;)
 {
   const int __res = _M_compare(__p, __q);
   if (__res)
     return __res;

   __p += char_traits<_CharT>::length(__p);
   __q += char_traits<_CharT>::length(__q);
   if (__p == __pend && __q == __qend)
     return 0;
   else if (__p == __pend)
     return -1;
   else if (__q == __qend)
     return 1;

   __p++;
   __q++;
 }
    }

  template<typename _CharT>
    typename collate<_CharT>::string_type
    collate<_CharT>::
    do_transform(const _CharT* __lo, const _CharT* __hi) const
    {
      string_type __ret;


      const string_type __str(__lo, __hi);

      const _CharT* __p = __str.c_str();
      const _CharT* __pend = __str.data() + __str.length();

      size_t __len = (__hi - __lo) * 2;

      _CharT* __c = new _CharT[__len];

      try
 {



   for (;;)
     {

       size_t __res = _M_transform(__c, __p, __len);


       if (__res >= __len)
  {
    __len = __res + 1;
    delete [] __c, __c = 0;
    __c = new _CharT[__len];
    __res = _M_transform(__c, __p, __len);
  }

       __ret.append(__c, __res);
       __p += char_traits<_CharT>::length(__p);
       if (__p == __pend)
  break;

       __p++;
       __ret.push_back(_CharT());
     }
 }
      catch(...)
 {
   delete [] __c;
   throw;
 }

      delete [] __c;

      return __ret;
    }

  template<typename _CharT>
    long
    collate<_CharT>::
    do_hash(const _CharT* __lo, const _CharT* __hi) const
    {
      unsigned long __val = 0;
      for (; __lo < __hi; ++__lo)
 __val =
   *__lo + ((__val << 7)
     | (__val >> (__gnu_cxx::__numeric_traits<unsigned long>::
    __digits - 7)));
      return static_cast<long>(__val);
    }




  extern template class collate<char>;
  extern template class collate_byname<char>;

  extern template
    const collate<char>*
    __try_use_facet<collate<char> >(const locale&) noexcept;

  extern template
    const collate<char>&
    use_facet<collate<char> >(const locale&);

  extern template
    bool
    has_facet<collate<char> >(const locale&);


  extern template class collate<wchar_t>;
  extern template class collate_byname<wchar_t>;

  extern template
    const collate<wchar_t>*
    __try_use_facet<collate<wchar_t> >(const locale&) noexcept;

  extern template
    const collate<wchar_t>&
    use_facet<collate<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<collate<wchar_t> >(const locale&);




}
# 870 "/usr/include/c++/13/bits/locale_classes.h" 2 3
# 42 "/usr/include/c++/13/locale" 2 3
# 1 "/usr/include/c++/13/bits/locale_facets.h" 1 3
# 37 "/usr/include/c++/13/bits/locale_facets.h" 3
       
# 38 "/usr/include/c++/13/bits/locale_facets.h" 3

# 1 "/usr/include/c++/13/cwctype" 1 3
# 39 "/usr/include/c++/13/cwctype" 3
       
# 40 "/usr/include/c++/13/cwctype" 3
# 50 "/usr/include/c++/13/cwctype" 3
# 1 "/usr/include/wctype.h" 1 3 4
# 38 "/usr/include/wctype.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wctype-wchar.h" 1 3 4
# 38 "/usr/include/aarch64-linux-gnu/bits/wctype-wchar.h" 3 4
typedef unsigned long int wctype_t;
# 56 "/usr/include/aarch64-linux-gnu/bits/wctype-wchar.h" 3 4
enum
{
  __ISwupper = 0,
  __ISwlower = 1,
  __ISwalpha = 2,
  __ISwdigit = 3,
  __ISwxdigit = 4,
  __ISwspace = 5,
  __ISwprint = 6,
  __ISwgraph = 7,
  __ISwblank = 8,
  __ISwcntrl = 9,
  __ISwpunct = 10,
  __ISwalnum = 11,

  _ISwupper = ((__ISwupper) < 8 ? (int) ((1UL << (__ISwupper)) << 24) : ((__ISwupper) < 16 ? (int) ((1UL << (__ISwupper)) << 8) : ((__ISwupper) < 24 ? (int) ((1UL << (__ISwupper)) >> 8) : (int) ((1UL << (__ISwupper)) >> 24)))),
  _ISwlower = ((__ISwlower) < 8 ? (int) ((1UL << (__ISwlower)) << 24) : ((__ISwlower) < 16 ? (int) ((1UL << (__ISwlower)) << 8) : ((__ISwlower) < 24 ? (int) ((1UL << (__ISwlower)) >> 8) : (int) ((1UL << (__ISwlower)) >> 24)))),
  _ISwalpha = ((__ISwalpha) < 8 ? (int) ((1UL << (__ISwalpha)) << 24) : ((__ISwalpha) < 16 ? (int) ((1UL << (__ISwalpha)) << 8) : ((__ISwalpha) < 24 ? (int) ((1UL << (__ISwalpha)) >> 8) : (int) ((1UL << (__ISwalpha)) >> 24)))),
  _ISwdigit = ((__ISwdigit) < 8 ? (int) ((1UL << (__ISwdigit)) << 24) : ((__ISwdigit) < 16 ? (int) ((1UL << (__ISwdigit)) << 8) : ((__ISwdigit) < 24 ? (int) ((1UL << (__ISwdigit)) >> 8) : (int) ((1UL << (__ISwdigit)) >> 24)))),
  _ISwxdigit = ((__ISwxdigit) < 8 ? (int) ((1UL << (__ISwxdigit)) << 24) : ((__ISwxdigit) < 16 ? (int) ((1UL << (__ISwxdigit)) << 8) : ((__ISwxdigit) < 24 ? (int) ((1UL << (__ISwxdigit)) >> 8) : (int) ((1UL << (__ISwxdigit)) >> 24)))),
  _ISwspace = ((__ISwspace) < 8 ? (int) ((1UL << (__ISwspace)) << 24) : ((__ISwspace) < 16 ? (int) ((1UL << (__ISwspace)) << 8) : ((__ISwspace) < 24 ? (int) ((1UL << (__ISwspace)) >> 8) : (int) ((1UL << (__ISwspace)) >> 24)))),
  _ISwprint = ((__ISwprint) < 8 ? (int) ((1UL << (__ISwprint)) << 24) : ((__ISwprint) < 16 ? (int) ((1UL << (__ISwprint)) << 8) : ((__ISwprint) < 24 ? (int) ((1UL << (__ISwprint)) >> 8) : (int) ((1UL << (__ISwprint)) >> 24)))),
  _ISwgraph = ((__ISwgraph) < 8 ? (int) ((1UL << (__ISwgraph)) << 24) : ((__ISwgraph) < 16 ? (int) ((1UL << (__ISwgraph)) << 8) : ((__ISwgraph) < 24 ? (int) ((1UL << (__ISwgraph)) >> 8) : (int) ((1UL << (__ISwgraph)) >> 24)))),
  _ISwblank = ((__ISwblank) < 8 ? (int) ((1UL << (__ISwblank)) << 24) : ((__ISwblank) < 16 ? (int) ((1UL << (__ISwblank)) << 8) : ((__ISwblank) < 24 ? (int) ((1UL << (__ISwblank)) >> 8) : (int) ((1UL << (__ISwblank)) >> 24)))),
  _ISwcntrl = ((__ISwcntrl) < 8 ? (int) ((1UL << (__ISwcntrl)) << 24) : ((__ISwcntrl) < 16 ? (int) ((1UL << (__ISwcntrl)) << 8) : ((__ISwcntrl) < 24 ? (int) ((1UL << (__ISwcntrl)) >> 8) : (int) ((1UL << (__ISwcntrl)) >> 24)))),
  _ISwpunct = ((__ISwpunct) < 8 ? (int) ((1UL << (__ISwpunct)) << 24) : ((__ISwpunct) < 16 ? (int) ((1UL << (__ISwpunct)) << 8) : ((__ISwpunct) < 24 ? (int) ((1UL << (__ISwpunct)) >> 8) : (int) ((1UL << (__ISwpunct)) >> 24)))),
  _ISwalnum = ((__ISwalnum) < 8 ? (int) ((1UL << (__ISwalnum)) << 24) : ((__ISwalnum) < 16 ? (int) ((1UL << (__ISwalnum)) << 8) : ((__ISwalnum) < 24 ? (int) ((1UL << (__ISwalnum)) >> 8) : (int) ((1UL << (__ISwalnum)) >> 24))))
};



extern "C" {







extern int iswalnum (wint_t __wc) noexcept (true);





extern int iswalpha (wint_t __wc) noexcept (true);


extern int iswcntrl (wint_t __wc) noexcept (true);



extern int iswdigit (wint_t __wc) noexcept (true);



extern int iswgraph (wint_t __wc) noexcept (true);




extern int iswlower (wint_t __wc) noexcept (true);


extern int iswprint (wint_t __wc) noexcept (true);




extern int iswpunct (wint_t __wc) noexcept (true);




extern int iswspace (wint_t __wc) noexcept (true);




extern int iswupper (wint_t __wc) noexcept (true);




extern int iswxdigit (wint_t __wc) noexcept (true);





extern int iswblank (wint_t __wc) noexcept (true);
# 155 "/usr/include/aarch64-linux-gnu/bits/wctype-wchar.h" 3 4
extern wctype_t wctype (const char *__property) noexcept (true);



extern int iswctype (wint_t __wc, wctype_t __desc) noexcept (true);






extern wint_t towlower (wint_t __wc) noexcept (true);


extern wint_t towupper (wint_t __wc) noexcept (true);

}
# 39 "/usr/include/wctype.h" 2 3 4





extern "C" {



typedef const __int32_t *wctrans_t;



extern wctrans_t wctrans (const char *__property) noexcept (true);


extern wint_t towctrans (wint_t __wc, wctrans_t __desc) noexcept (true);







extern int iswalnum_l (wint_t __wc, locale_t __locale) noexcept (true);





extern int iswalpha_l (wint_t __wc, locale_t __locale) noexcept (true);


extern int iswcntrl_l (wint_t __wc, locale_t __locale) noexcept (true);



extern int iswdigit_l (wint_t __wc, locale_t __locale) noexcept (true);



extern int iswgraph_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswlower_l (wint_t __wc, locale_t __locale) noexcept (true);


extern int iswprint_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswpunct_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswspace_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswupper_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswxdigit_l (wint_t __wc, locale_t __locale) noexcept (true);




extern int iswblank_l (wint_t __wc, locale_t __locale) noexcept (true);



extern wctype_t wctype_l (const char *__property, locale_t __locale)
     noexcept (true);



extern int iswctype_l (wint_t __wc, wctype_t __desc, locale_t __locale)
     noexcept (true);






extern wint_t towlower_l (wint_t __wc, locale_t __locale) noexcept (true);


extern wint_t towupper_l (wint_t __wc, locale_t __locale) noexcept (true);



extern wctrans_t wctrans_l (const char *__property, locale_t __locale)
     noexcept (true);


extern wint_t towctrans_l (wint_t __wc, wctrans_t __desc,
      locale_t __locale) noexcept (true);



}
# 51 "/usr/include/c++/13/cwctype" 2 3
# 80 "/usr/include/c++/13/cwctype" 3
namespace std
{
  using ::wctrans_t;
  using ::wctype_t;
  using ::wint_t;

  using ::iswalnum;
  using ::iswalpha;

  using ::iswblank;

  using ::iswcntrl;
  using ::iswctype;
  using ::iswdigit;
  using ::iswgraph;
  using ::iswlower;
  using ::iswprint;
  using ::iswpunct;
  using ::iswspace;
  using ::iswupper;
  using ::iswxdigit;
  using ::towctrans;
  using ::towlower;
  using ::towupper;
  using ::wctrans;
  using ::wctype;
}
# 40 "/usr/include/c++/13/bits/locale_facets.h" 2 3
# 1 "/usr/include/c++/13/cctype" 1 3
# 39 "/usr/include/c++/13/cctype" 3
       
# 40 "/usr/include/c++/13/cctype" 3
# 41 "/usr/include/c++/13/bits/locale_facets.h" 2 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/ctype_base.h" 1 3
# 36 "/usr/include/aarch64-linux-gnu/c++/13/bits/ctype_base.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  struct ctype_base
  {

    typedef const int* __to_type;



    typedef unsigned short mask;
    static const mask upper = _ISupper;
    static const mask lower = _ISlower;
    static const mask alpha = _ISalpha;
    static const mask digit = _ISdigit;
    static const mask xdigit = _ISxdigit;
    static const mask space = _ISspace;
    static const mask print = _ISprint;
    static const mask graph = _ISalpha | _ISdigit | _ISpunct;
    static const mask cntrl = _IScntrl;
    static const mask punct = _ISpunct;
    static const mask alnum = _ISalpha | _ISdigit;

    static const mask blank = _ISblank;

  };


}
# 42 "/usr/include/c++/13/bits/locale_facets.h" 2 3

# 1 "/usr/include/c++/13/bits/ios_base.h" 1 3
# 37 "/usr/include/c++/13/bits/ios_base.h" 3
       
# 38 "/usr/include/c++/13/bits/ios_base.h" 3
# 46 "/usr/include/c++/13/bits/ios_base.h" 3
# 1 "/usr/include/c++/13/system_error" 1 3
# 32 "/usr/include/c++/13/system_error" 3
       
# 33 "/usr/include/c++/13/system_error" 3
# 41 "/usr/include/c++/13/system_error" 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/error_constants.h" 1 3
# 34 "/usr/include/aarch64-linux-gnu/c++/13/bits/error_constants.h" 3
# 1 "/usr/include/c++/13/cerrno" 1 3
# 39 "/usr/include/c++/13/cerrno" 3
       
# 40 "/usr/include/c++/13/cerrno" 3
# 35 "/usr/include/aarch64-linux-gnu/c++/13/bits/error_constants.h" 2 3

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


  enum class errc
    {
      address_family_not_supported = 97,
      address_in_use = 98,
      address_not_available = 99,
      already_connected = 106,
      argument_list_too_long = 7,
      argument_out_of_domain = 33,
      bad_address = 14,
      bad_file_descriptor = 9,


      bad_message = 74,


      broken_pipe = 32,
      connection_aborted = 103,
      connection_already_in_progress = 114,
      connection_refused = 111,
      connection_reset = 104,
      cross_device_link = 18,
      destination_address_required = 89,
      device_or_resource_busy = 16,
      directory_not_empty = 39,
      executable_format_error = 8,
      file_exists = 17,
      file_too_large = 27,
      filename_too_long = 36,
      function_not_supported = 38,
      host_unreachable = 113,


      identifier_removed = 43,


      illegal_byte_sequence = 84,
      inappropriate_io_control_operation = 25,
      interrupted = 4,
      invalid_argument = 22,
      invalid_seek = 29,
      io_error = 5,
      is_a_directory = 21,
      message_size = 90,
      network_down = 100,
      network_reset = 102,
      network_unreachable = 101,
      no_buffer_space = 105,
      no_child_process = 10,


      no_link = 67,


      no_lock_available = 37,


      no_message_available = 61,


      no_message = 42,
      no_protocol_option = 92,
      no_space_on_device = 28,


      no_stream_resources = 63,


      no_such_device_or_address = 6,
      no_such_device = 19,
      no_such_file_or_directory = 2,
      no_such_process = 3,
      not_a_directory = 20,
      not_a_socket = 88,


      not_a_stream = 60,


      not_connected = 107,
      not_enough_memory = 12,


      not_supported = 95,



      operation_canceled = 125,


      operation_in_progress = 115,
      operation_not_permitted = 1,
      operation_not_supported = 95,
      operation_would_block = 11,


      owner_dead = 130,


      permission_denied = 13,


      protocol_error = 71,


      protocol_not_supported = 93,
      read_only_file_system = 30,
      resource_deadlock_would_occur = 35,
      resource_unavailable_try_again = 11,
      result_out_of_range = 34,


      state_not_recoverable = 131,



      stream_timeout = 62,



      text_file_busy = 26,


      timed_out = 110,
      too_many_files_open_in_system = 23,
      too_many_files_open = 24,
      too_many_links = 31,
      too_many_symbolic_link_levels = 40,


      value_too_large = 75,




      wrong_protocol_type = 91
    };


}
# 42 "/usr/include/c++/13/system_error" 2 3

# 1 "/usr/include/c++/13/stdexcept" 1 3
# 36 "/usr/include/c++/13/stdexcept" 3
       
# 37 "/usr/include/c++/13/stdexcept" 3

# 1 "/usr/include/c++/13/exception" 1 3
# 33 "/usr/include/c++/13/exception" 3
       
# 34 "/usr/include/c++/13/exception" 3




extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{
# 51 "/usr/include/c++/13/exception" 3
  class bad_exception : public exception
  {
  public:
    bad_exception() noexcept { }



    virtual ~bad_exception() noexcept;


    virtual const char*
    what() const noexcept;
  };


  typedef void (*terminate_handler) ();


  terminate_handler set_terminate(terminate_handler) noexcept;



  terminate_handler get_terminate() noexcept;




  void terminate() noexcept __attribute__ ((__noreturn__));



  typedef void (*__attribute__ ((__deprecated__)) unexpected_handler) ();





  __attribute__ ((__deprecated__))
  unexpected_handler set_unexpected(unexpected_handler) noexcept;







  __attribute__ ((__deprecated__))
  unexpected_handler get_unexpected() noexcept;







  __attribute__ ((__deprecated__))
  void unexpected() __attribute__ ((__noreturn__));
# 121 "/usr/include/c++/13/exception" 3
  __attribute__ ((__deprecated__ ("use '" "std::uncaught_exceptions()" "' instead")))
  bool uncaught_exception() noexcept __attribute__ ((__pure__));







  int uncaught_exceptions() noexcept __attribute__ ((__pure__));



}

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

# 156 "/usr/include/c++/13/exception" 3
  void __verbose_terminate_handler();


}

}


# 1 "/usr/include/c++/13/bits/exception_ptr.h" 1 3
# 36 "/usr/include/c++/13/bits/exception_ptr.h" 3
# 1 "/usr/include/c++/13/bits/cxxabi_init_exception.h" 1 3
# 34 "/usr/include/c++/13/bits/cxxabi_init_exception.h" 3
       
# 35 "/usr/include/c++/13/bits/cxxabi_init_exception.h" 3

#pragma GCC visibility push(default)

# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 39 "/usr/include/c++/13/bits/cxxabi_init_exception.h" 2 3
# 50 "/usr/include/c++/13/bits/cxxabi_init_exception.h" 3
namespace std
{
  class type_info;
}

namespace __cxxabiv1
{
  struct __cxa_refcounted_exception;

  extern "C"
    {

      void*
      __cxa_allocate_exception(size_t) noexcept;

      void
      __cxa_free_exception(void*) noexcept;


      __cxa_refcounted_exception*
      __cxa_init_primary_exception(void *__object, std::type_info *__tinfo,
                void ( *__dest) (void *))
 noexcept;

    }
}



#pragma GCC visibility pop
# 37 "/usr/include/c++/13/bits/exception_ptr.h" 2 3
# 1 "/usr/include/c++/13/typeinfo" 1 3
# 32 "/usr/include/c++/13/typeinfo" 3
       
# 33 "/usr/include/c++/13/typeinfo" 3






#pragma GCC visibility push(default)





extern "C++" {

namespace __cxxabiv1
{
  class __class_type_info;
}
# 84 "/usr/include/c++/13/typeinfo" 3
namespace std
{






  class type_info
  {
  public:




    virtual ~type_info();



    const char* name() const noexcept
    { return __name[0] == '*' ? __name + 1 : __name; }



    bool before(const type_info& __arg) const noexcept;

   
    bool operator==(const type_info& __arg) const noexcept;


    bool operator!=(const type_info& __arg) const noexcept
    { return !operator==(__arg); }



    size_t hash_code() const noexcept
    {

      return _Hash_bytes(name(), __builtin_strlen(name()),
    static_cast<size_t>(0xc70f6907UL));



    }



    virtual bool __is_pointer_p() const;


    virtual bool __is_function_p() const;







    virtual bool __do_catch(const type_info *__thr_type, void **__thr_obj,
       unsigned __outer) const;


    virtual bool __do_upcast(const __cxxabiv1::__class_type_info *__target,
        void **__obj_ptr) const;

  protected:
    const char *__name;

    explicit type_info(const char *__n): __name(__n) { }

  private:


    type_info& operator=(const type_info&) = delete;
    type_info(const type_info&) = delete;
# 167 "/usr/include/c++/13/typeinfo" 3
  };


  inline bool
  type_info::before(const type_info& __arg) const noexcept
  {




    if (__name[0] != '*' || __arg.__name[0] != '*')
      return __builtin_strcmp (__name, __arg.__name) < 0;
# 187 "/usr/include/c++/13/typeinfo" 3
    return __name < __arg.__name;
  }



  inline bool
  type_info::operator==(const type_info& __arg) const noexcept
  {
    if (std::__is_constant_evaluated())
      return this == &__arg;

    if (__name == __arg.__name)
      return true;






    return __name[0] != '*' && __builtin_strcmp (__name, __arg.name()) == 0;



  }
# 220 "/usr/include/c++/13/typeinfo" 3
  class bad_cast : public exception
  {
  public:
    bad_cast() noexcept { }



    virtual ~bad_cast() noexcept;


    virtual const char* what() const noexcept;
  };





  class bad_typeid : public exception
  {
  public:
    bad_typeid () noexcept { }



    virtual ~bad_typeid() noexcept;


    virtual const char* what() const noexcept;
  };
}

}

#pragma GCC visibility pop
# 38 "/usr/include/c++/13/bits/exception_ptr.h" 2 3
# 50 "/usr/include/c++/13/bits/exception_ptr.h" 3
extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{
  class type_info;






  namespace __exception_ptr
  {
    class exception_ptr;
  }

  using __exception_ptr::exception_ptr;
# 75 "/usr/include/c++/13/bits/exception_ptr.h" 3
  exception_ptr current_exception() noexcept;

  template<typename _Ex>
  exception_ptr make_exception_ptr(_Ex) noexcept;


  void rethrow_exception(exception_ptr) __attribute__ ((__noreturn__));

  namespace __exception_ptr
  {
    using std::rethrow_exception;
# 97 "/usr/include/c++/13/bits/exception_ptr.h" 3
    class exception_ptr
    {
      void* _M_exception_object;

      explicit exception_ptr(void* __e) noexcept;

      void _M_addref() noexcept;
      void _M_release() noexcept;

      void *_M_get() const noexcept __attribute__ ((__pure__));

      friend exception_ptr std::current_exception() noexcept;
      friend void std::rethrow_exception(exception_ptr);
      template<typename _Ex>
      friend exception_ptr std::make_exception_ptr(_Ex) noexcept;

    public:
      exception_ptr() noexcept;

      exception_ptr(const exception_ptr&) noexcept;


      exception_ptr(nullptr_t) noexcept
      : _M_exception_object(nullptr)
      { }

      exception_ptr(exception_ptr&& __o) noexcept
      : _M_exception_object(__o._M_exception_object)
      { __o._M_exception_object = nullptr; }
# 135 "/usr/include/c++/13/bits/exception_ptr.h" 3
      exception_ptr&
      operator=(const exception_ptr&) noexcept;


      exception_ptr&
      operator=(exception_ptr&& __o) noexcept
      {
        exception_ptr(static_cast<exception_ptr&&>(__o)).swap(*this);
        return *this;
      }


      ~exception_ptr() noexcept;

      void
      swap(exception_ptr&) noexcept;
# 162 "/usr/include/c++/13/bits/exception_ptr.h" 3
      explicit operator bool() const noexcept
      { return _M_exception_object; }







      friend bool
      operator==(const exception_ptr& __x, const exception_ptr& __y)
      noexcept
      { return __x._M_exception_object == __y._M_exception_object; }

      friend bool
      operator!=(const exception_ptr& __x, const exception_ptr& __y)
      noexcept
      { return __x._M_exception_object != __y._M_exception_object; }


      const class std::type_info*
      __cxa_exception_type() const noexcept
 __attribute__ ((__pure__));
    };

   
    inline
    exception_ptr::exception_ptr() noexcept
    : _M_exception_object(0)
    { }

   
    inline
    exception_ptr::exception_ptr(const exception_ptr& __other)
    noexcept
    : _M_exception_object(__other._M_exception_object)
    {
      if (_M_exception_object)
 _M_addref();
    }

   
    inline
    exception_ptr::~exception_ptr() noexcept
    {
      if (_M_exception_object)
 _M_release();
    }

   
    inline exception_ptr&
    exception_ptr::operator=(const exception_ptr& __other) noexcept
    {
      exception_ptr(__other).swap(*this);
      return *this;
    }

   
    inline void
    exception_ptr::swap(exception_ptr &__other) noexcept
    {
      void *__tmp = _M_exception_object;
      _M_exception_object = __other._M_exception_object;
      __other._M_exception_object = __tmp;
    }


    inline void
    swap(exception_ptr& __lhs, exception_ptr& __rhs)
    { __lhs.swap(__rhs); }


    template<typename _Ex>
     
      inline void
      __dest_thunk(void* __x)
      { static_cast<_Ex*>(__x)->~_Ex(); }


  }

  using __exception_ptr::swap;



  template<typename _Ex>
    exception_ptr
    make_exception_ptr(_Ex __ex) noexcept
    {

      using _Ex2 = typename decay<_Ex>::type;
      void* __e = __cxxabiv1::__cxa_allocate_exception(sizeof(_Ex));
      (void) __cxxabiv1::__cxa_init_primary_exception(
   __e, const_cast<std::type_info*>(&typeid(_Ex)),
   __exception_ptr::__dest_thunk<_Ex2>);
      try
 {
   ::new (__e) _Ex2(__ex);
   return exception_ptr(__e);
 }
      catch(...)
 {
   __cxxabiv1::__cxa_free_exception(__e);
   return current_exception();
 }
# 277 "/usr/include/c++/13/bits/exception_ptr.h" 3
    }
# 291 "/usr/include/c++/13/bits/exception_ptr.h" 3
}

}
# 165 "/usr/include/c++/13/exception" 2 3
# 1 "/usr/include/c++/13/bits/nested_exception.h" 1 3
# 40 "/usr/include/c++/13/bits/nested_exception.h" 3
extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{
# 59 "/usr/include/c++/13/bits/nested_exception.h" 3
  class nested_exception
  {
    exception_ptr _M_ptr;

  public:

    nested_exception() noexcept : _M_ptr(current_exception()) { }

    nested_exception(const nested_exception&) noexcept = default;

    nested_exception& operator=(const nested_exception&) noexcept = default;

    virtual ~nested_exception() noexcept;


    [[noreturn]]
    void
    rethrow_nested() const
    {
      if (_M_ptr)
 rethrow_exception(_M_ptr);
      std::terminate();
    }


    exception_ptr
    nested_ptr() const noexcept
    { return _M_ptr; }
  };



  template<typename _Except>
    struct _Nested_exception : public _Except, public nested_exception
    {
      explicit _Nested_exception(const _Except& __ex)
      : _Except(__ex)
      { }

      explicit _Nested_exception(_Except&& __ex)
      : _Except(static_cast<_Except&&>(__ex))
      { }
    };
# 145 "/usr/include/c++/13/bits/nested_exception.h" 3
  template<typename _Tp>
    [[noreturn]]
    inline void
    throw_with_nested(_Tp&& __t)
    {
      using _Up = typename decay<_Tp>::type;
      using _CopyConstructible
 = __and_<is_copy_constructible<_Up>, is_move_constructible<_Up>>;
      static_assert(_CopyConstructible::value,
   "throw_with_nested argument must be CopyConstructible");


      if constexpr (is_class_v<_Up>)
 if constexpr (!is_final_v<_Up>)
   if constexpr (!is_base_of_v<nested_exception, _Up>)
     throw _Nested_exception<_Up>{std::forward<_Tp>(__t)};
      throw std::forward<_Tp>(__t);





    }
# 203 "/usr/include/c++/13/bits/nested_exception.h" 3
  template<typename _Ex>



    inline void
    rethrow_if_nested(const _Ex& __ex)
    {
      const _Ex* __ptr = __builtin_addressof(__ex);
# 223 "/usr/include/c++/13/bits/nested_exception.h" 3
      if constexpr (!is_polymorphic_v<_Ex>)
 return;
      else if constexpr (is_base_of_v<nested_exception, _Ex>
    && !is_convertible_v<_Ex*, nested_exception*>)
 return;




      else if (auto __ne_ptr = dynamic_cast<const nested_exception*>(__ptr))
 __ne_ptr->rethrow_nested();

    }


}

}
# 166 "/usr/include/c++/13/exception" 2 3
# 39 "/usr/include/c++/13/stdexcept" 2 3


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





  struct __cow_string
  {
    union {
      const char* _M_p;
      char _M_bytes[sizeof(const char*)];
    };

    __cow_string();
    __cow_string(const std::string&);
    __cow_string(const char*, size_t);
    __cow_string(const __cow_string&) noexcept;
    __cow_string& operator=(const __cow_string&) noexcept;
    ~__cow_string();

    __cow_string(__cow_string&&) noexcept;
    __cow_string& operator=(__cow_string&&) noexcept;

  };

  typedef basic_string<char> __sso_string;
# 113 "/usr/include/c++/13/stdexcept" 3
  class logic_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    logic_error(const string& __arg) ;


    explicit
    logic_error(const char*) ;

    logic_error(logic_error&&) noexcept;
    logic_error& operator=(logic_error&&) noexcept;



    logic_error(const logic_error&) noexcept;
    logic_error& operator=(const logic_error&) noexcept;





    virtual ~logic_error() noexcept;



    virtual const char*
    what() const noexcept;





  };



  class domain_error : public logic_error
  {
  public:
    explicit domain_error(const string& __arg) ;

    explicit domain_error(const char*) ;
    domain_error(const domain_error&) = default;
    domain_error& operator=(const domain_error&) = default;
    domain_error(domain_error&&) = default;
    domain_error& operator=(domain_error&&) = default;

    virtual ~domain_error() noexcept;
  };


  class invalid_argument : public logic_error
  {
  public:
    explicit invalid_argument(const string& __arg) ;

    explicit invalid_argument(const char*) ;
    invalid_argument(const invalid_argument&) = default;
    invalid_argument& operator=(const invalid_argument&) = default;
    invalid_argument(invalid_argument&&) = default;
    invalid_argument& operator=(invalid_argument&&) = default;

    virtual ~invalid_argument() noexcept;
  };



  class length_error : public logic_error
  {
  public:
    explicit length_error(const string& __arg) ;

    explicit length_error(const char*) ;
    length_error(const length_error&) = default;
    length_error& operator=(const length_error&) = default;
    length_error(length_error&&) = default;
    length_error& operator=(length_error&&) = default;

    virtual ~length_error() noexcept;
  };



  class out_of_range : public logic_error
  {
  public:
    explicit out_of_range(const string& __arg) ;

    explicit out_of_range(const char*) ;
    out_of_range(const out_of_range&) = default;
    out_of_range& operator=(const out_of_range&) = default;
    out_of_range(out_of_range&&) = default;
    out_of_range& operator=(out_of_range&&) = default;

    virtual ~out_of_range() noexcept;
  };






  class runtime_error : public exception
  {
    __cow_string _M_msg;

  public:

    explicit
    runtime_error(const string& __arg) ;


    explicit
    runtime_error(const char*) ;

    runtime_error(runtime_error&&) noexcept;
    runtime_error& operator=(runtime_error&&) noexcept;



    runtime_error(const runtime_error&) noexcept;
    runtime_error& operator=(const runtime_error&) noexcept;





    virtual ~runtime_error() noexcept;



    virtual const char*
    what() const noexcept;





  };


  class range_error : public runtime_error
  {
  public:
    explicit range_error(const string& __arg) ;

    explicit range_error(const char*) ;
    range_error(const range_error&) = default;
    range_error& operator=(const range_error&) = default;
    range_error(range_error&&) = default;
    range_error& operator=(range_error&&) = default;

    virtual ~range_error() noexcept;
  };


  class overflow_error : public runtime_error
  {
  public:
    explicit overflow_error(const string& __arg) ;

    explicit overflow_error(const char*) ;
    overflow_error(const overflow_error&) = default;
    overflow_error& operator=(const overflow_error&) = default;
    overflow_error(overflow_error&&) = default;
    overflow_error& operator=(overflow_error&&) = default;

    virtual ~overflow_error() noexcept;
  };


  class underflow_error : public runtime_error
  {
  public:
    explicit underflow_error(const string& __arg) ;

    explicit underflow_error(const char*) ;
    underflow_error(const underflow_error&) = default;
    underflow_error& operator=(const underflow_error&) = default;
    underflow_error(underflow_error&&) = default;
    underflow_error& operator=(underflow_error&&) = default;

    virtual ~underflow_error() noexcept;
  };




}
# 44 "/usr/include/c++/13/system_error" 2 3




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






  class error_code;
  class error_condition;
  class system_error;


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


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

  template<>
    struct is_error_condition_enum<errc>
    : public true_type { };


  template <typename _Tp>
    inline constexpr bool is_error_code_enum_v =
      is_error_code_enum<_Tp>::value;
  template <typename _Tp>
    inline constexpr bool is_error_condition_enum_v =
      is_error_condition_enum<_Tp>::value;



inline namespace _V2 {
# 106 "/usr/include/c++/13/system_error" 3
  class error_category
  {
  public:
    constexpr error_category() noexcept = default;

    virtual ~error_category();

    error_category(const error_category&) = delete;
    error_category& operator=(const error_category&) = delete;


    virtual const char*
    name() const noexcept = 0;






  private:
    __attribute ((__abi_tag__ ("cxx11")))
    virtual __cow_string
    _M_message(int) const;

  public:

    __attribute ((__abi_tag__ ("cxx11")))
    virtual string
    message(int) const = 0;
# 144 "/usr/include/c++/13/system_error" 3
  public:

    virtual error_condition
    default_error_condition(int __i) const noexcept;


    virtual bool
    equivalent(int __i, const error_condition& __cond) const noexcept;


    virtual bool
    equivalent(const error_code& __code, int __i) const noexcept;


    [[__nodiscard__]]
    bool
    operator==(const error_category& __other) const noexcept
    { return this == &__other; }
# 170 "/usr/include/c++/13/system_error" 3
    bool
    operator<(const error_category& __other) const noexcept
    { return less<const error_category*>()(this, &__other); }

    bool
    operator!=(const error_category& __other) const noexcept
    { return this != &__other; }

  };




  [[__nodiscard__, __gnu__::__const__]]
  const error_category&
  generic_category() noexcept;


  [[__nodiscard__, __gnu__::__const__]]
  const error_category&
  system_category() noexcept;



}





namespace __adl_only
{
  void make_error_code() = delete;
  void make_error_condition() = delete;
}
# 223 "/usr/include/c++/13/system_error" 3
  class error_code
  {
    template<typename _ErrorCodeEnum>
      using _Check
 = __enable_if_t<is_error_code_enum<_ErrorCodeEnum>::value>;

  public:
    error_code() noexcept
    : _M_value(0), _M_cat(&system_category()) { }

    error_code(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }


    template<typename _ErrorCodeEnum,
      typename = _Check<_ErrorCodeEnum>>
      error_code(_ErrorCodeEnum __e) noexcept
      {
 using __adl_only::make_error_code;
 *this = make_error_code(__e);
      }

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

    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }

    void
    clear() noexcept
    { assign(0, system_category()); }


    [[__nodiscard__]]
    int
    value() const noexcept { return _M_value; }


    [[__nodiscard__]]
    const error_category&
    category() const noexcept { return *_M_cat; }


    error_condition
    default_error_condition() const noexcept;


    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }


    [[__nodiscard__]]
    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    int _M_value;
    const error_category* _M_cat;
  };
# 300 "/usr/include/c++/13/system_error" 3
  [[__nodiscard__]]
  inline error_code
  make_error_code(errc __e) noexcept
  { return error_code(static_cast<int>(__e), generic_category()); }
# 323 "/usr/include/c++/13/system_error" 3
  inline bool
  operator<(const error_code& __lhs, const error_code& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }







  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os, const error_code& __e)
    { return (__os << __e.category().name() << ':' << __e.value()); }
# 354 "/usr/include/c++/13/system_error" 3
  class error_condition
  {
    template<typename _ErrorConditionEnum>
      using _Check
 = __enable_if_t<is_error_condition_enum<_ErrorConditionEnum>::value>;

  public:

    error_condition() noexcept
    : _M_value(0), _M_cat(&generic_category()) { }


    error_condition(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }


    template<typename _ErrorConditionEnum,
      typename = _Check<_ErrorConditionEnum>>
      error_condition(_ErrorConditionEnum __e) noexcept
      {
 using __adl_only::make_error_condition;
 *this = make_error_condition(__e);
      }

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


    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }


    void
    clear() noexcept
    { assign(0, generic_category()); }




    [[__nodiscard__]]
    int
    value() const noexcept { return _M_value; }


    [[__nodiscard__]]
    const error_category&
    category() const noexcept { return *_M_cat; }


    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }


    [[__nodiscard__]]
    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    int _M_value;
    const error_category* _M_cat;
  };
# 433 "/usr/include/c++/13/system_error" 3
  [[__nodiscard__]]
  inline error_condition
  make_error_condition(errc __e) noexcept
  { return error_condition(static_cast<int>(__e), generic_category()); }
# 447 "/usr/include/c++/13/system_error" 3
  [[__nodiscard__]]
  inline bool
  operator==(const error_code& __lhs, const error_code& __rhs) noexcept
  {
    return __lhs.category() == __rhs.category()
      && __lhs.value() == __rhs.value();
  }
# 463 "/usr/include/c++/13/system_error" 3
  [[__nodiscard__]]
  inline bool
  operator==(const error_code& __lhs, const error_condition& __rhs) noexcept
  {
    return __lhs.category().equivalent(__lhs.value(), __rhs)
      || __rhs.category().equivalent(__lhs, __rhs.value());
  }
# 478 "/usr/include/c++/13/system_error" 3
  [[__nodiscard__]]
  inline bool
  operator==(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  {
    return __lhs.category() == __rhs.category()
      && __lhs.value() == __rhs.value();
  }
# 506 "/usr/include/c++/13/system_error" 3
  inline bool
  operator<(const error_condition& __lhs,
     const error_condition& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }


  inline bool
  operator==(const error_condition& __lhs, const error_code& __rhs) noexcept
  {
    return (__rhs.category().equivalent(__rhs.value(), __lhs)
     || __lhs.category().equivalent(__rhs, __lhs.value()));
  }


  inline bool
  operator!=(const error_code& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }


  inline bool
  operator!=(const error_code& __lhs, const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }


  inline bool
  operator!=(const error_condition& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }


  inline bool
  operator!=(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }
# 556 "/usr/include/c++/13/system_error" 3
  class system_error : public std::runtime_error
  {
  private:
    error_code _M_code;

  public:
    system_error(error_code __ec = error_code())
    : runtime_error(__ec.message()), _M_code(__ec) { }

    system_error(error_code __ec, const string& __what)
    : runtime_error(__what + (": " + __ec.message())), _M_code(__ec) { }

    system_error(error_code __ec, const char* __what)
    : runtime_error(__what + (": " + __ec.message())), _M_code(__ec) { }

    system_error(int __v, const error_category& __ecat, const char* __what)
    : system_error(error_code(__v, __ecat), __what) { }

    system_error(int __v, const error_category& __ecat)
    : runtime_error(error_code(__v, __ecat).message()),
      _M_code(__v, __ecat) { }

    system_error(int __v, const error_category& __ecat, const string& __what)
    : runtime_error(__what + (": " + error_code(__v, __ecat).message())),
      _M_code(__v, __ecat) { }


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


    virtual ~system_error() noexcept;

    const error_code&
    code() const noexcept { return _M_code; }
  };


}



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






  template<>
    struct hash<error_code>
    : public __hash_base<size_t, error_code>
    {
      size_t
      operator()(const error_code& __e) const noexcept
      {
 const size_t __tmp = std::_Hash_impl::hash(__e.value());
 return std::_Hash_impl::__hash_combine(&__e.category(), __tmp);
      }
    };






  template<>
    struct hash<error_condition>
    : public __hash_base<size_t, error_condition>
    {
      size_t
      operator()(const error_condition& __e) const noexcept
      {
 const size_t __tmp = std::_Hash_impl::hash(__e.value());
 return std::_Hash_impl::__hash_combine(&__e.category(), __tmp);
      }
    };



}
# 47 "/usr/include/c++/13/bits/ios_base.h" 2 3


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






  enum _Ios_Fmtflags
    {
      _S_boolalpha = 1L << 0,
      _S_dec = 1L << 1,
      _S_fixed = 1L << 2,
      _S_hex = 1L << 3,
      _S_internal = 1L << 4,
      _S_left = 1L << 5,
      _S_oct = 1L << 6,
      _S_right = 1L << 7,
      _S_scientific = 1L << 8,
      _S_showbase = 1L << 9,
      _S_showpoint = 1L << 10,
      _S_showpos = 1L << 11,
      _S_skipws = 1L << 12,
      _S_unitbuf = 1L << 13,
      _S_uppercase = 1L << 14,
      _S_adjustfield = _S_left | _S_right | _S_internal,
      _S_basefield = _S_dec | _S_oct | _S_hex,
      _S_floatfield = _S_scientific | _S_fixed,
      _S_ios_fmtflags_end = 1L << 16,
      _S_ios_fmtflags_max = 0x7fffffff,
      _S_ios_fmtflags_min = ~0x7fffffff
    };

  inline constexpr _Ios_Fmtflags
  operator&(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator|(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator^(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator~(_Ios_Fmtflags __a)
  { return _Ios_Fmtflags(~static_cast<int>(__a)); }

  inline const _Ios_Fmtflags&
  operator|=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a | __b; }

  inline const _Ios_Fmtflags&
  operator&=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a & __b; }

  inline const _Ios_Fmtflags&
  operator^=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a ^ __b; }


  enum _Ios_Openmode
    {
      _S_app = 1L << 0,
      _S_ate = 1L << 1,
      _S_bin = 1L << 2,
      _S_in = 1L << 3,
      _S_out = 1L << 4,
      _S_trunc = 1L << 5,
      _S_noreplace = 1L << 6,
      _S_ios_openmode_end = 1L << 16,
      _S_ios_openmode_max = 0x7fffffff,
      _S_ios_openmode_min = ~0x7fffffff
    };

  inline constexpr _Ios_Openmode
  operator&(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator|(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator^(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator~(_Ios_Openmode __a)
  { return _Ios_Openmode(~static_cast<int>(__a)); }

  inline const _Ios_Openmode&
  operator|=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a | __b; }

  inline const _Ios_Openmode&
  operator&=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a & __b; }

  inline const _Ios_Openmode&
  operator^=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a ^ __b; }


  enum _Ios_Iostate
    {
      _S_goodbit = 0,
      _S_badbit = 1L << 0,
      _S_eofbit = 1L << 1,
      _S_failbit = 1L << 2,
      _S_ios_iostate_end = 1L << 16,
      _S_ios_iostate_max = 0x7fffffff,
      _S_ios_iostate_min = ~0x7fffffff
    };

  inline constexpr _Ios_Iostate
  operator&(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator|(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator^(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator~(_Ios_Iostate __a)
  { return _Ios_Iostate(~static_cast<int>(__a)); }

  inline const _Ios_Iostate&
  operator|=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a | __b; }

  inline const _Ios_Iostate&
  operator&=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a & __b; }

  inline const _Ios_Iostate&
  operator^=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a ^ __b; }


  enum _Ios_Seekdir
    {
      _S_beg = 0,
      _S_cur = 1,
      _S_end = 2,
      _S_ios_seekdir_end = 1L << 16
    };



  enum class io_errc { stream = 1 };

  template <> struct is_error_code_enum<io_errc> : public true_type { };

  [[__nodiscard__, __gnu__::__const__]]
  const error_category&
  iostream_category() noexcept;

  [[__nodiscard__]]
  inline error_code
  make_error_code(io_errc __e) noexcept
  { return error_code(static_cast<int>(__e), iostream_category()); }

  [[__nodiscard__]]
  inline error_condition
  make_error_condition(io_errc __e) noexcept
  { return error_condition(static_cast<int>(__e), iostream_category()); }
# 233 "/usr/include/c++/13/bits/ios_base.h" 3
  class ios_base
  {
# 251 "/usr/include/c++/13/bits/ios_base.h" 3
  public:
# 260 "/usr/include/c++/13/bits/ios_base.h" 3
    class __attribute ((__abi_tag__ ("cxx11"))) failure : public system_error
    {
    public:
      explicit
      failure(const string& __str);


      explicit
      failure(const string&, const error_code&);

      explicit
      failure(const char*, const error_code& = io_errc::stream);


      virtual
      ~failure() throw();

      virtual const char*
      what() const throw();
    };
# 346 "/usr/include/c++/13/bits/ios_base.h" 3
    typedef _Ios_Fmtflags fmtflags;


    static const fmtflags boolalpha = _S_boolalpha;


    static const fmtflags dec = _S_dec;


    static const fmtflags fixed = _S_fixed;


    static const fmtflags hex = _S_hex;




    static const fmtflags internal = _S_internal;



    static const fmtflags left = _S_left;


    static const fmtflags oct = _S_oct;



    static const fmtflags right = _S_right;


    static const fmtflags scientific = _S_scientific;



    static const fmtflags showbase = _S_showbase;



    static const fmtflags showpoint = _S_showpoint;


    static const fmtflags showpos = _S_showpos;


    static const fmtflags skipws = _S_skipws;


    static const fmtflags unitbuf = _S_unitbuf;



    static const fmtflags uppercase = _S_uppercase;


    static const fmtflags adjustfield = _S_adjustfield;


    static const fmtflags basefield = _S_basefield;


    static const fmtflags floatfield = _S_floatfield;
# 421 "/usr/include/c++/13/bits/ios_base.h" 3
    typedef _Ios_Iostate iostate;



    static const iostate badbit = _S_badbit;


    static const iostate eofbit = _S_eofbit;




    static const iostate failbit = _S_failbit;


    static const iostate goodbit = _S_goodbit;
# 452 "/usr/include/c++/13/bits/ios_base.h" 3
    typedef _Ios_Openmode openmode;


    static const openmode app = _S_app;


    static const openmode ate = _S_ate;




    static const openmode binary = _S_bin;


    static const openmode in = _S_in;


    static const openmode out = _S_out;


    static const openmode trunc = _S_trunc;

    static const openmode __noreplace = _S_noreplace;
# 492 "/usr/include/c++/13/bits/ios_base.h" 3
    typedef _Ios_Seekdir seekdir;


    static const seekdir beg = _S_beg;


    static const seekdir cur = _S_cur;


    static const seekdir end = _S_end;
# 525 "/usr/include/c++/13/bits/ios_base.h" 3
    enum event
    {
      erase_event,
      imbue_event,
      copyfmt_event
    };
# 542 "/usr/include/c++/13/bits/ios_base.h" 3
    typedef void (*event_callback) (event __e, ios_base& __b, int __i);
# 554 "/usr/include/c++/13/bits/ios_base.h" 3
    void
    register_callback(event_callback __fn, int __index);

  protected:
    streamsize _M_precision;
    streamsize _M_width;
    fmtflags _M_flags;
    iostate _M_exception;
    iostate _M_streambuf_state;



    struct _Callback_list
    {

      _Callback_list* _M_next;
      ios_base::event_callback _M_fn;
      int _M_index;
      _Atomic_word _M_refcount;

      _Callback_list(ios_base::event_callback __fn, int __index,
       _Callback_list* __cb)
      : _M_next(__cb), _M_fn(__fn), _M_index(__index), _M_refcount(0) { }

      void
      _M_add_reference() { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }


      int
      _M_remove_reference()
      {

        ;
        int __res = __gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1);
        if (__res == 0)
          {
            ;
          }
        return __res;
      }
    };

     _Callback_list* _M_callbacks;

    void
    _M_call_callbacks(event __ev) throw();

    void
    _M_dispose_callbacks(void) throw();


    struct _Words
    {
      void* _M_pword;
      long _M_iword;
      _Words() : _M_pword(0), _M_iword(0) { }
    };


    _Words _M_word_zero;



    enum { _S_local_word_size = 8 };
    _Words _M_local_word[_S_local_word_size];


    int _M_word_size;
    _Words* _M_word;

    _Words&
    _M_grow_words(int __index, bool __iword);


    locale _M_ios_locale;

    void
    _M_init() throw();

  public:





    class Init
    {
      friend class ios_base;
    public:
      Init();
      ~Init();


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


    private:
      static _Atomic_word _S_refcount;
      static bool _S_synced_with_stdio;
    };






    fmtflags
    flags() const
    { return _M_flags; }
# 672 "/usr/include/c++/13/bits/ios_base.h" 3
    fmtflags
    flags(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags = __fmtfl;
      return __old;
    }
# 688 "/usr/include/c++/13/bits/ios_base.h" 3
    fmtflags
    setf(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags |= __fmtfl;
      return __old;
    }
# 705 "/usr/include/c++/13/bits/ios_base.h" 3
    fmtflags
    setf(fmtflags __fmtfl, fmtflags __mask)
    {
      fmtflags __old = _M_flags;
      _M_flags &= ~__mask;
      _M_flags |= (__fmtfl & __mask);
      return __old;
    }







    void
    unsetf(fmtflags __mask)
    { _M_flags &= ~__mask; }
# 731 "/usr/include/c++/13/bits/ios_base.h" 3
    streamsize
    precision() const
    { return _M_precision; }






    streamsize
    precision(streamsize __prec)
    {
      streamsize __old = _M_precision;
      _M_precision = __prec;
      return __old;
    }







    streamsize
    width() const
    { return _M_width; }






    streamsize
    width(streamsize __wide)
    {
      streamsize __old = _M_width;
      _M_width = __wide;
      return __old;
    }
# 782 "/usr/include/c++/13/bits/ios_base.h" 3
    static bool
    sync_with_stdio(bool __sync = true);
# 794 "/usr/include/c++/13/bits/ios_base.h" 3
    locale
    imbue(const locale& __loc) throw();
# 805 "/usr/include/c++/13/bits/ios_base.h" 3
    locale
    getloc() const
    { return _M_ios_locale; }
# 816 "/usr/include/c++/13/bits/ios_base.h" 3
    const locale&
    _M_getloc() const
    { return _M_ios_locale; }
# 835 "/usr/include/c++/13/bits/ios_base.h" 3
    static int
    xalloc() throw();
# 851 "/usr/include/c++/13/bits/ios_base.h" 3
    long&
    iword(int __ix)
    {
      _Words& __word = ((unsigned)__ix < (unsigned)_M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, true);
      return __word._M_iword;
    }
# 872 "/usr/include/c++/13/bits/ios_base.h" 3
    void*&
    pword(int __ix)
    {
      _Words& __word = ((unsigned)__ix < (unsigned)_M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, false);
      return __word._M_pword;
    }
# 889 "/usr/include/c++/13/bits/ios_base.h" 3
    virtual ~ios_base();

  protected:
    ios_base() throw ();
# 903 "/usr/include/c++/13/bits/ios_base.h" 3
  public:
    ios_base(const ios_base&) = delete;

    ios_base&
    operator=(const ios_base&) = delete;

  protected:
    void
    _M_move(ios_base&) noexcept;

    void
    _M_swap(ios_base& __rhs) noexcept;

  };



  inline ios_base&
  boolalpha(ios_base& __base)
  {
    __base.setf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  noboolalpha(ios_base& __base)
  {
    __base.unsetf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  showbase(ios_base& __base)
  {
    __base.setf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  noshowbase(ios_base& __base)
  {
    __base.unsetf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  showpoint(ios_base& __base)
  {
    __base.setf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  noshowpoint(ios_base& __base)
  {
    __base.unsetf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  showpos(ios_base& __base)
  {
    __base.setf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  noshowpos(ios_base& __base)
  {
    __base.unsetf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  skipws(ios_base& __base)
  {
    __base.setf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  noskipws(ios_base& __base)
  {
    __base.unsetf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  uppercase(ios_base& __base)
  {
    __base.setf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  nouppercase(ios_base& __base)
  {
    __base.unsetf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  unitbuf(ios_base& __base)
  {
     __base.setf(ios_base::unitbuf);
     return __base;
  }


  inline ios_base&
  nounitbuf(ios_base& __base)
  {
     __base.unsetf(ios_base::unitbuf);
     return __base;
  }



  inline ios_base&
  internal(ios_base& __base)
  {
     __base.setf(ios_base::internal, ios_base::adjustfield);
     return __base;
  }


  inline ios_base&
  left(ios_base& __base)
  {
    __base.setf(ios_base::left, ios_base::adjustfield);
    return __base;
  }


  inline ios_base&
  right(ios_base& __base)
  {
    __base.setf(ios_base::right, ios_base::adjustfield);
    return __base;
  }



  inline ios_base&
  dec(ios_base& __base)
  {
    __base.setf(ios_base::dec, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  hex(ios_base& __base)
  {
    __base.setf(ios_base::hex, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  oct(ios_base& __base)
  {
    __base.setf(ios_base::oct, ios_base::basefield);
    return __base;
  }



  inline ios_base&
  fixed(ios_base& __base)
  {
    __base.setf(ios_base::fixed, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  scientific(ios_base& __base)
  {
    __base.setf(ios_base::scientific, ios_base::floatfield);
    return __base;
  }






  inline ios_base&
  hexfloat(ios_base& __base)
  {
    __base.setf(ios_base::fixed | ios_base::scientific, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  defaultfloat(ios_base& __base)
  {
    __base.unsetf(ios_base::floatfield);
    return __base;
  }



}
# 44 "/usr/include/c++/13/bits/locale_facets.h" 2 3
# 1 "/usr/include/c++/13/streambuf" 1 3
# 36 "/usr/include/c++/13/streambuf" 3
       
# 37 "/usr/include/c++/13/streambuf" 3
# 47 "/usr/include/c++/13/streambuf" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>*,
     basic_streambuf<_CharT, _Traits>*, bool&);
# 123 "/usr/include/c++/13/streambuf" 3
  template<typename _CharT, typename _Traits>
    class basic_streambuf
    {
    public:






      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename traits_type::int_type int_type;
      typedef typename traits_type::pos_type pos_type;
      typedef typename traits_type::off_type off_type;




      typedef basic_streambuf<char_type, traits_type> __streambuf_type;


      friend class basic_ios<char_type, traits_type>;
      friend class basic_istream<char_type, traits_type>;
      friend class basic_ostream<char_type, traits_type>;
      friend class istreambuf_iterator<char_type, traits_type>;
      friend class ostreambuf_iterator<char_type, traits_type>;

      friend streamsize
      __copy_streambufs_eof<>(basic_streambuf*, basic_streambuf*, bool&);

      template<bool _IsMove, typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
        __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
      istreambuf_iterator<_CharT2> >::__type
        find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
        advance(istreambuf_iterator<_CharT2>&, _Distance);

      friend void __istream_extract(istream&, char*, streamsize);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        operator>>(basic_istream<_CharT2, _Traits2>&,
     basic_string<_CharT2, _Traits2, _Alloc>&);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        getline(basic_istream<_CharT2, _Traits2>&,
  basic_string<_CharT2, _Traits2, _Alloc>&, _CharT2);

    protected:







      char_type* _M_in_beg;
      char_type* _M_in_cur;
      char_type* _M_in_end;
      char_type* _M_out_beg;
      char_type* _M_out_cur;
      char_type* _M_out_end;


      locale _M_buf_locale;

  public:

      virtual
      ~basic_streambuf()
      { }
# 215 "/usr/include/c++/13/streambuf" 3
      locale
      pubimbue(const locale& __loc)
      {
 locale __tmp(this->getloc());
 this->imbue(__loc);
 _M_buf_locale = __loc;
 return __tmp;
      }
# 232 "/usr/include/c++/13/streambuf" 3
      locale
      getloc() const
      { return _M_buf_locale; }
# 245 "/usr/include/c++/13/streambuf" 3
      basic_streambuf*
      pubsetbuf(char_type* __s, streamsize __n)
      { return this->setbuf(__s, __n); }
# 257 "/usr/include/c++/13/streambuf" 3
      pos_type
      pubseekoff(off_type __off, ios_base::seekdir __way,
   ios_base::openmode __mode = ios_base::in | ios_base::out)
      { return this->seekoff(__off, __way, __mode); }
# 269 "/usr/include/c++/13/streambuf" 3
      pos_type
      pubseekpos(pos_type __sp,
   ios_base::openmode __mode = ios_base::in | ios_base::out)
      { return this->seekpos(__sp, __mode); }




      int
      pubsync() { return this->sync(); }
# 290 "/usr/include/c++/13/streambuf" 3
      streamsize
      in_avail()
      {
 const streamsize __ret = this->egptr() - this->gptr();
 return __ret ? __ret : this->showmanyc();
      }
# 304 "/usr/include/c++/13/streambuf" 3
      int_type
      snextc()
      {
 int_type __ret = traits_type::eof();
 if (__builtin_expect(!traits_type::eq_int_type(this->sbumpc(),
             __ret), true))
   __ret = this->sgetc();
 return __ret;
      }
# 322 "/usr/include/c++/13/streambuf" 3
      int_type
      sbumpc()
      {
 int_type __ret;
 if (__builtin_expect(this->gptr() < this->egptr(), true))
   {
     __ret = traits_type::to_int_type(*this->gptr());
     this->gbump(1);
   }
 else
   __ret = this->uflow();
 return __ret;
      }
# 344 "/usr/include/c++/13/streambuf" 3
      int_type
      sgetc()
      {
 int_type __ret;
 if (__builtin_expect(this->gptr() < this->egptr(), true))
   __ret = traits_type::to_int_type(*this->gptr());
 else
   __ret = this->underflow();
 return __ret;
      }
# 363 "/usr/include/c++/13/streambuf" 3
      streamsize
      sgetn(char_type* __s, streamsize __n)
      { return this->xsgetn(__s, __n); }
# 378 "/usr/include/c++/13/streambuf" 3
      int_type
      sputbackc(char_type __c)
      {
 int_type __ret;
 const bool __testpos = this->eback() < this->gptr();
 if (__builtin_expect(!__testpos ||
        !traits_type::eq(__c, this->gptr()[-1]), false))
   __ret = this->pbackfail(traits_type::to_int_type(__c));
 else
   {
     this->gbump(-1);
     __ret = traits_type::to_int_type(*this->gptr());
   }
 return __ret;
      }
# 403 "/usr/include/c++/13/streambuf" 3
      int_type
      sungetc()
      {
 int_type __ret;
 if (__builtin_expect(this->eback() < this->gptr(), true))
   {
     this->gbump(-1);
     __ret = traits_type::to_int_type(*this->gptr());
   }
 else
   __ret = this->pbackfail();
 return __ret;
      }
# 430 "/usr/include/c++/13/streambuf" 3
      int_type
      sputc(char_type __c)
      {
 int_type __ret;
 if (__builtin_expect(this->pptr() < this->epptr(), true))
   {
     *this->pptr() = __c;
     this->pbump(1);
     __ret = traits_type::to_int_type(__c);
   }
 else
   __ret = this->overflow(traits_type::to_int_type(__c));
 return __ret;
      }
# 456 "/usr/include/c++/13/streambuf" 3
      streamsize
      sputn(const char_type* __s, streamsize __n)
      { return this->xsputn(__s, __n); }

    protected:
# 470 "/usr/include/c++/13/streambuf" 3
      basic_streambuf()
      : _M_in_beg(0), _M_in_cur(0), _M_in_end(0),
      _M_out_beg(0), _M_out_cur(0), _M_out_end(0),
      _M_buf_locale(locale())
      { }
# 488 "/usr/include/c++/13/streambuf" 3
      char_type*
      eback() const { return _M_in_beg; }

      char_type*
      gptr() const { return _M_in_cur; }

      char_type*
      egptr() const { return _M_in_end; }
# 504 "/usr/include/c++/13/streambuf" 3
      void
      gbump(int __n) { _M_in_cur += __n; }
# 515 "/usr/include/c++/13/streambuf" 3
      void
      setg(char_type* __gbeg, char_type* __gnext, char_type* __gend)
      {
 _M_in_beg = __gbeg;
 _M_in_cur = __gnext;
 _M_in_end = __gend;
      }
# 535 "/usr/include/c++/13/streambuf" 3
      char_type*
      pbase() const { return _M_out_beg; }

      char_type*
      pptr() const { return _M_out_cur; }

      char_type*
      epptr() const { return _M_out_end; }
# 551 "/usr/include/c++/13/streambuf" 3
      void
      pbump(int __n) { _M_out_cur += __n; }
# 561 "/usr/include/c++/13/streambuf" 3
      void
      setp(char_type* __pbeg, char_type* __pend)
      {
 _M_out_beg = _M_out_cur = __pbeg;
 _M_out_end = __pend;
      }
# 582 "/usr/include/c++/13/streambuf" 3
      virtual void
      imbue(const locale& __loc __attribute__ ((__unused__)))
      { }
# 597 "/usr/include/c++/13/streambuf" 3
      virtual basic_streambuf<char_type,_Traits>*
      setbuf(char_type*, streamsize)
      { return this; }
# 608 "/usr/include/c++/13/streambuf" 3
      virtual pos_type
      seekoff(off_type, ios_base::seekdir,
       ios_base::openmode = ios_base::in | ios_base::out)
      { return pos_type(off_type(-1)); }
# 620 "/usr/include/c++/13/streambuf" 3
      virtual pos_type
      seekpos(pos_type,
       ios_base::openmode = ios_base::in | ios_base::out)
      { return pos_type(off_type(-1)); }
# 633 "/usr/include/c++/13/streambuf" 3
      virtual int
      sync() { return 0; }
# 655 "/usr/include/c++/13/streambuf" 3
      virtual streamsize
      showmanyc() { return 0; }
# 671 "/usr/include/c++/13/streambuf" 3
      virtual streamsize
      xsgetn(char_type* __s, streamsize __n);
# 693 "/usr/include/c++/13/streambuf" 3
      virtual int_type
      underflow()
      { return traits_type::eof(); }
# 706 "/usr/include/c++/13/streambuf" 3
      virtual int_type
      uflow()
      {
 int_type __ret = traits_type::eof();
 const bool __testeof = traits_type::eq_int_type(this->underflow(),
       __ret);
 if (!__testeof)
   {
     __ret = traits_type::to_int_type(*this->gptr());
     this->gbump(1);
   }
 return __ret;
      }
# 730 "/usr/include/c++/13/streambuf" 3
      virtual int_type
      pbackfail(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }
# 748 "/usr/include/c++/13/streambuf" 3
      virtual streamsize
      xsputn(const char_type* __s, streamsize __n);
# 774 "/usr/include/c++/13/streambuf" 3
      virtual int_type
      overflow(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }
# 801 "/usr/include/c++/13/streambuf" 3
      void
      __safe_gbump(streamsize __n) { _M_in_cur += __n; }

      void
      __safe_pbump(streamsize __n) { _M_out_cur += __n; }




    protected:

      basic_streambuf(const basic_streambuf&);

      basic_streambuf&
      operator=(const basic_streambuf&);


      void
      swap(basic_streambuf& __sb)
      {
 std::swap(_M_in_beg, __sb._M_in_beg);
 std::swap(_M_in_cur, __sb._M_in_cur);
 std::swap(_M_in_end, __sb._M_in_end);
 std::swap(_M_out_beg, __sb._M_out_beg);
 std::swap(_M_out_cur, __sb._M_out_cur);
 std::swap(_M_out_end, __sb._M_out_end);
 std::swap(_M_buf_locale, __sb._M_buf_locale);
      }

    };


  template<typename _CharT, typename _Traits>
    std::basic_streambuf<_CharT, _Traits>::
    basic_streambuf(const basic_streambuf&) = default;

  template<typename _CharT, typename _Traits>
    std::basic_streambuf<_CharT, _Traits>&
    std::basic_streambuf<_CharT, _Traits>::
    operator=(const basic_streambuf&) = default;



  template<>
    streamsize
    __copy_streambufs_eof(basic_streambuf<char>* __sbin,
     basic_streambuf<char>* __sbout, bool& __ineof);

  template<>
    streamsize
    __copy_streambufs_eof(basic_streambuf<wchar_t>* __sbin,
     basic_streambuf<wchar_t>* __sbout, bool& __ineof);





}

# 1 "/usr/include/c++/13/bits/streambuf.tcc" 1 3
# 37 "/usr/include/c++/13/bits/streambuf.tcc" 3
       
# 38 "/usr/include/c++/13/bits/streambuf.tcc" 3

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


  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsgetn(char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->egptr() - this->gptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(__s, this->gptr(), __len);
       __ret += __len;
       __s += __len;
       this->__safe_gbump(__len);
     }

   if (__ret < __n)
     {
       const int_type __c = this->uflow();
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    traits_type::assign(*__s++, traits_type::to_char_type(__c));
    ++__ret;
  }
       else
  break;
     }
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsputn(const char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->epptr() - this->pptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(this->pptr(), __s, __len);
       __ret += __len;
       __s += __len;
       this->__safe_pbump(__len);
     }

   if (__ret < __n)
     {
       int_type __c = this->overflow(traits_type::to_int_type(*__s));
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    ++__ret;
    ++__s;
  }
       else
  break;
     }
 }
      return __ret;
    }




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>* __sbin,
     basic_streambuf<_CharT, _Traits>* __sbout,
     bool& __ineof)
    {
      streamsize __ret = 0;
      __ineof = true;
      typename _Traits::int_type __c = __sbin->sgetc();
      while (!_Traits::eq_int_type(__c, _Traits::eof()))
 {
   __c = __sbout->sputc(_Traits::to_char_type(__c));
   if (_Traits::eq_int_type(__c, _Traits::eof()))
     {
       __ineof = false;
       break;
     }
   ++__ret;
   __c = __sbin->snextc();
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    inline streamsize
    __copy_streambufs(basic_streambuf<_CharT, _Traits>* __sbin,
        basic_streambuf<_CharT, _Traits>* __sbout)
    {
      bool __ineof;
      return __copy_streambufs_eof(__sbin, __sbout, __ineof);
    }




  extern template class basic_streambuf<char>;

  extern template
    streamsize
    __copy_streambufs(basic_streambuf<char>*,
        basic_streambuf<char>*);


  extern template class basic_streambuf<wchar_t>;

  extern template
    streamsize
    __copy_streambufs(basic_streambuf<wchar_t>*,
        basic_streambuf<wchar_t>*);




}
# 861 "/usr/include/c++/13/streambuf" 2 3
# 45 "/usr/include/c++/13/bits/locale_facets.h" 2 3



# 1 "/usr/include/c++/13/bits/streambuf_iterator.h" 1 3
# 33 "/usr/include/c++/13/bits/streambuf_iterator.h" 3
       
# 34 "/usr/include/c++/13/bits/streambuf_iterator.h" 3





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








 
# 49 "/usr/include/c++/13/bits/streambuf_iterator.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"


  template<typename _CharT, typename _Traits>
    class istreambuf_iterator
    : public iterator<input_iterator_tag, _CharT, typename _Traits::off_type,
        _CharT*, _CharT>
    {
    public:
# 70 "/usr/include/c++/13/bits/streambuf_iterator.h" 3
      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename _Traits::int_type int_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_istream<_CharT, _Traits> istream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

      template<bool _IsMove, typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
 __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2, typename _Size>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
 __copy_n_a(istreambuf_iterator<_CharT2>, _Size, _CharT2*, bool);

      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        istreambuf_iterator<_CharT2> >::__type
 find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
 advance(istreambuf_iterator<_CharT2>&, _Distance);

    private:







      mutable streambuf_type* _M_sbuf;
      int_type _M_c;

    public:

      constexpr istreambuf_iterator() noexcept
      : _M_sbuf(0), _M_c(traits_type::eof()) { }







      istreambuf_iterator(const istreambuf_iterator&) noexcept = default;

      ~istreambuf_iterator() = default;



      istreambuf_iterator(istream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_c(traits_type::eof()) { }


      istreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_c(traits_type::eof()) { }


      istreambuf_iterator&
      operator=(const istreambuf_iterator&) noexcept = default;





      [[__nodiscard__]]
      char_type
      operator*() const
      {
 int_type __c = _M_get();
# 161 "/usr/include/c++/13/bits/streambuf_iterator.h" 3
 return traits_type::to_char_type(__c);
      }


      istreambuf_iterator&
      operator++()
      {



                        ;

 _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return *this;
      }


      istreambuf_iterator
      operator++(int)
      {



                        ;

 istreambuf_iterator __old = *this;
 __old._M_c = _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return __old;
      }





      [[__nodiscard__]]
      bool
      equal(const istreambuf_iterator& __b) const
      { return _M_at_eof() == __b._M_at_eof(); }

    private:
      int_type
      _M_get() const
      {
 int_type __ret = _M_c;
 if (_M_sbuf && _S_is_eof(__ret) && _S_is_eof(__ret = _M_sbuf->sgetc()))
   _M_sbuf = 0;
 return __ret;
      }

      bool
      _M_at_eof() const
      { return _S_is_eof(_M_get()); }

      static bool
      _S_is_eof(int_type __c)
      {
 const int_type __eof = traits_type::eof();
 return traits_type::eq_int_type(__c, __eof);
      }







    };

  template<typename _CharT, typename _Traits>
    [[__nodiscard__]]
    inline bool
    operator==(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return __a.equal(__b); }


  template<typename _CharT, typename _Traits>
    [[__nodiscard__]]
    inline bool
    operator!=(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return !__a.equal(__b); }



  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    public:






      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_ostream<_CharT, _Traits> ostream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

    private:
      streambuf_type* _M_sbuf;
      bool _M_failed;

    public:
# 284 "/usr/include/c++/13/bits/streambuf_iterator.h" 3
      ostreambuf_iterator(ostream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator&
      operator=(_CharT __c)
      {
 if (!_M_failed &&
     _Traits::eq_int_type(_M_sbuf->sputc(__c), _Traits::eof()))
   _M_failed = true;
 return *this;
      }


      [[__nodiscard__]]
      ostreambuf_iterator&
      operator*()
      { return *this; }


      ostreambuf_iterator&
      operator++(int)
      { return *this; }


      ostreambuf_iterator&
      operator++()
      { return *this; }


      [[__nodiscard__]]
      bool
      failed() const noexcept
      { return _M_failed; }

      ostreambuf_iterator&
      _M_put(const _CharT* __ws, streamsize __len)
      {
 if (__builtin_expect(!_M_failed, true)
     && __builtin_expect(this->_M_sbuf->sputn(__ws, __len) != __len,
    false))
   _M_failed = true;
 return *this;
      }
    };
#pragma GCC diagnostic pop


  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    copy(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last,
  ostreambuf_iterator<_CharT> __result)
    {
      if (__first._M_sbuf && !__last._M_sbuf && !__result._M_failed)
 {
   bool __ineof;
   __copy_streambufs_eof(__first._M_sbuf, __result._M_sbuf, __ineof);
   if (!__ineof)
     __result._M_failed = true;
 }
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(_CharT* __first, _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(const _CharT* __first, const _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT> __first,
     istreambuf_iterator<_CharT> __last, _CharT* __result)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, traits_type::eof()))
     {
       const streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    traits_type::copy(__result, __sb->gptr(), __n);
    __sb->__safe_gbump(__n);
    __result += __n;
    __c = __sb->underflow();
  }
       else
  {
    *__result++ = traits_type::to_char_type(__c);
    __c = __sb->snextc();
  }
     }
 }
      return __result;
    }

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_n_a(istreambuf_iterator<_CharT> __it, _Size __n, _CharT* __result,
        bool __strict __attribute__((__unused__)))
    {
      if (__n == 0)
 return __result;

     

                            ;
      _CharT* __beg = __result;
      __result += __it._M_sbuf->sgetn(__beg, __n);
     

                            ;
      return __result;
    }

  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
          istreambuf_iterator<_CharT> >::__type
    find(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last, const _CharT& __val)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   const int_type __ival = traits_type::to_int_type(__val);
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, __eof)
   && !traits_type::eq_int_type(__c, __ival))
     {
       streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    const _CharT* __p = traits_type::find(__sb->gptr(),
       __n, __val);
    if (__p)
      __n = __p - __sb->gptr();
    __sb->__safe_gbump(__n);
    __c = __sb->sgetc();
  }
       else
  __c = __sb->snextc();
     }

   __first._M_c = __eof;
 }

      return __first;
    }

  template<typename _CharT, typename _Distance>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        void>::__type
    advance(istreambuf_iterator<_CharT>& __i, _Distance __n)
    {
      if (__n == 0)
 return;

      do { if (std::__is_constant_evaluated() && !bool(__n > 0)) __builtin_unreachable(); } while (false);
     

                           ;

      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      streambuf_type* __sb = __i._M_sbuf;
      while (__n > 0)
 {
   streamsize __size = __sb->egptr() - __sb->gptr();
   if (__size > __n)
     {
       __sb->__safe_gbump(__n);
       break;
     }

   __sb->__safe_gbump(__size);
   __n -= __size;
   if (traits_type::eq_int_type(__sb->underflow(), __eof))
     {
      

                      ;
       break;
     }
 }

      __i._M_c = __eof;
    }




}
# 49 "/usr/include/c++/13/bits/locale_facets.h" 2 3

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

# 74 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _Tp>
    void
    __convert_to_v(const char*, _Tp&, ios_base::iostate&,
     const __c_locale&) throw();


  template<>
    void
    __convert_to_v(const char*, float&, ios_base::iostate&,
     const __c_locale&) throw();

  template<>
    void
    __convert_to_v(const char*, double&, ios_base::iostate&,
     const __c_locale&) throw();

  template<>
    void
    __convert_to_v(const char*, long double&, ios_base::iostate&,
     const __c_locale&) throw();



  template<typename _CharT, typename _Traits>
    struct __pad
    {
      static void
      _S_pad(ios_base& __io, _CharT __fill, _CharT* __news,
      const _CharT* __olds, streamsize __newlen, streamsize __oldlen);
    };






  template<typename _CharT>
    _CharT*
    __add_grouping(_CharT* __s, _CharT __sep,
     const char* __gbeg, size_t __gsize,
     const _CharT* __first, const _CharT* __last);




  template<typename _CharT>
    inline
    ostreambuf_iterator<_CharT>
    __write(ostreambuf_iterator<_CharT> __s, const _CharT* __ws, int __len)
    {
      __s._M_put(__ws, __len);
      return __s;
    }


  template<typename _CharT, typename _OutIter>
    inline
    _OutIter
    __write(_OutIter __s, const _CharT* __ws, int __len)
    {
      for (int __j = 0; __j < __len; __j++, ++__s)
 *__s = __ws[__j];
      return __s;
    }
# 152 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _CharT>
    class __ctype_abstract_base : public locale::facet, public ctype_base
    {
    public:


      typedef _CharT char_type;
# 171 "/usr/include/c++/13/bits/locale_facets.h" 3
      bool
      is(mask __m, char_type __c) const
      { return this->do_is(__m, __c); }
# 188 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      is(const char_type *__lo, const char_type *__hi, mask *__vec) const
      { return this->do_is(__lo, __hi, __vec); }
# 204 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      scan_is(mask __m, const char_type* __lo, const char_type* __hi) const
      { return this->do_scan_is(__m, __lo, __hi); }
# 220 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      scan_not(mask __m, const char_type* __lo, const char_type* __hi) const
      { return this->do_scan_not(__m, __lo, __hi); }
# 234 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 249 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 263 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 278 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 295 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      widen(char __c) const
      { return this->do_widen(__c); }
# 314 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char*
      widen(const char* __lo, const char* __hi, char_type* __to) const
      { return this->do_widen(__lo, __hi, __to); }
# 333 "/usr/include/c++/13/bits/locale_facets.h" 3
      char
      narrow(char_type __c, char __dfault) const
      { return this->do_narrow(__c, __dfault); }
# 355 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      narrow(const char_type* __lo, const char_type* __hi,
       char __dfault, char* __to) const
      { return this->do_narrow(__lo, __hi, __dfault, __to); }

    protected:
      explicit
      __ctype_abstract_base(size_t __refs = 0): facet(__refs) { }

      virtual
      ~__ctype_abstract_base() { }
# 380 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const = 0;
# 399 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi,
     mask* __vec) const = 0;
# 418 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo,
   const char_type* __hi) const = 0;
# 437 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const = 0;
# 455 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const = 0;
# 472 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const = 0;
# 488 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const = 0;
# 505 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const = 0;
# 524 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const = 0;
# 545 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const = 0;
# 566 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const = 0;
# 591 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const = 0;
    };
# 614 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _CharT>
    class ctype : public __ctype_abstract_base<_CharT>
    {
    public:

      typedef _CharT char_type;
      typedef typename __ctype_abstract_base<_CharT>::mask mask;


      static locale::id id;

      explicit
      ctype(size_t __refs = 0) : __ctype_abstract_base<_CharT>(__refs) { }

   protected:
      virtual
      ~ctype();

      virtual bool
      do_is(mask __m, char_type __c) const;

      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;

      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;

      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const;

      virtual char_type
      do_toupper(char_type __c) const;

      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;

      virtual char_type
      do_tolower(char_type __c) const;

      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;

      virtual char_type
      do_widen(char __c) const;

      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __dest) const;

      virtual char
      do_narrow(char_type, char __dfault) const;

      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const;
    };

  template<typename _CharT>
    locale::id ctype<_CharT>::id;



  template<typename _CharT, typename _Traits, typename _Alloc>
    class ctype<basic_string<_CharT, _Traits, _Alloc> >;
# 688 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<>
    class ctype<char> : public locale::facet, public ctype_base
    {
    public:


      typedef char char_type;

    protected:

      __c_locale _M_c_locale_ctype;
      bool _M_del;
      __to_type _M_toupper;
      __to_type _M_tolower;
      const mask* _M_table;
      mutable char _M_widen_ok;
      mutable char _M_widen[1 + static_cast<unsigned char>(-1)];
      mutable char _M_narrow[1 + static_cast<unsigned char>(-1)];
      mutable char _M_narrow_ok;


    public:

      static locale::id id;

      static const size_t table_size = 1 + static_cast<unsigned char>(-1);
# 725 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      ctype(const mask* __table = 0, bool __del = false, size_t __refs = 0);
# 738 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      ctype(__c_locale __cloc, const mask* __table = 0, bool __del = false,
     size_t __refs = 0);
# 751 "/usr/include/c++/13/bits/locale_facets.h" 3
      inline bool
      is(mask __m, char __c) const;
# 766 "/usr/include/c++/13/bits/locale_facets.h" 3
      inline const char*
      is(const char* __lo, const char* __hi, mask* __vec) const;
# 780 "/usr/include/c++/13/bits/locale_facets.h" 3
      inline const char*
      scan_is(mask __m, const char* __lo, const char* __hi) const;
# 794 "/usr/include/c++/13/bits/locale_facets.h" 3
      inline const char*
      scan_not(mask __m, const char* __lo, const char* __hi) const;
# 809 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 826 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 842 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 859 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 879 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      widen(char __c) const
      {
 if (_M_widen_ok)
   return _M_widen[static_cast<unsigned char>(__c)];
 this->_M_widen_init();
 return this->do_widen(__c);
      }
# 906 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char*
      widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 if (_M_widen_ok == 1)
   {
     if (__builtin_expect(__hi != __lo, true))
       __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_widen_ok)
   _M_widen_init();
 return this->do_widen(__lo, __hi, __to);
      }
# 938 "/usr/include/c++/13/bits/locale_facets.h" 3
      char
      narrow(char_type __c, char __dfault) const
      {
 if (_M_narrow[static_cast<unsigned char>(__c)])
   return _M_narrow[static_cast<unsigned char>(__c)];
 const char __t = do_narrow(__c, __dfault);
 if (__t != __dfault)
   _M_narrow[static_cast<unsigned char>(__c)] = __t;
 return __t;
      }
# 971 "/usr/include/c++/13/bits/locale_facets.h" 3
      const char_type*
      narrow(const char_type* __lo, const char_type* __hi,
      char __dfault, char* __to) const
      {
 if (__builtin_expect(_M_narrow_ok == 1, true))
   {
     if (__builtin_expect(__hi != __lo, true))
       __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_narrow_ok)
   _M_narrow_init();
 return this->do_narrow(__lo, __hi, __dfault, __to);
      }





      const mask*
      table() const throw()
      { return _M_table; }


      static const mask*
      classic_table() throw();
    protected:







      virtual
      ~ctype();
# 1021 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1038 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1054 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1071 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1091 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const
      { return __c; }
# 1114 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 if (__builtin_expect(__hi != __lo, true))
   __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }
# 1141 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault __attribute__((__unused__))) const
      { return __c; }
# 1167 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault __attribute__((__unused__)), char* __to) const
      {
 if (__builtin_expect(__hi != __lo, true))
   __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }

    private:
      void _M_narrow_init() const;
      void _M_widen_init() const;
    };
# 1193 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<>
    class ctype<wchar_t> : public __ctype_abstract_base<wchar_t>
    {
    public:


      typedef wchar_t char_type;
      typedef wctype_t __wmask_type;

    protected:
      __c_locale _M_c_locale_ctype;


      bool _M_narrow_ok;
      char _M_narrow[128];
      wint_t _M_widen[1 + static_cast<unsigned char>(-1)];


      mask _M_bit[16];
      __wmask_type _M_wmask[16];

    public:


      static locale::id id;
# 1226 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      ctype(size_t __refs = 0);
# 1237 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      ctype(__c_locale __cloc, size_t __refs = 0);

    protected:
      __wmask_type
      _M_convert_to_wmask(const mask __m) const throw();


      virtual
      ~ctype();
# 1261 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const;
# 1280 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;
# 1298 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;
# 1316 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const;
# 1333 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1350 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1366 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1383 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1403 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const;
# 1425 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const;
# 1448 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const;
# 1474 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault, char* __to) const;


      void
      _M_initialize_ctype() throw();
    };



  template<typename _CharT>
    class ctype_byname : public ctype<_CharT>
    {
    public:
      typedef typename ctype<_CharT>::mask mask;

      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0)
      : ctype_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~ctype_byname() { }
    };


  template<>
    class ctype_byname<char> : public ctype<char>
    {
    public:
      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0);


    protected:
      virtual
      ~ctype_byname();
    };


  template<>
    class ctype_byname<wchar_t> : public ctype<wchar_t>
    {
    public:
      explicit
      ctype_byname(const char* __s, size_t __refs = 0);


      explicit
      ctype_byname(const string& __s, size_t __refs = 0);


    protected:
      virtual
      ~ctype_byname();
    };



}


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/ctype_inline.h" 1 3
# 37 "/usr/include/aarch64-linux-gnu/c++/13/bits/ctype_inline.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  bool
  ctype<char>::
  is(mask __m, char __c) const
  { return _M_table[static_cast<unsigned char>(__c)] & __m; }

  const char*
  ctype<char>::
  is(const char* __low, const char* __high, mask* __vec) const
  {
    while (__low < __high)
      *__vec++ = _M_table[static_cast<unsigned char>(*__low++)];
    return __high;
  }

  const char*
  ctype<char>::
  scan_is(mask __m, const char* __low, const char* __high) const
  {
    while (__low < __high
    && !(_M_table[static_cast<unsigned char>(*__low)] & __m))
      ++__low;
    return __low;
  }

  const char*
  ctype<char>::
  scan_not(mask __m, const char* __low, const char* __high) const
  {
    while (__low < __high
    && (_M_table[static_cast<unsigned char>(*__low)] & __m) != 0)
      ++__low;
    return __low;
  }


}
# 1547 "/usr/include/c++/13/bits/locale_facets.h" 2 3

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



  class __num_base
  {
  public:


    enum
      {
 _S_ominus,
 _S_oplus,
 _S_ox,
 _S_oX,
 _S_odigits,
 _S_odigits_end = _S_odigits + 16,
 _S_oudigits = _S_odigits_end,
 _S_oudigits_end = _S_oudigits + 16,
 _S_oe = _S_odigits + 14,
 _S_oE = _S_oudigits + 14,
 _S_oend = _S_oudigits_end
      };






    static const char* _S_atoms_out;



    static const char* _S_atoms_in;

    enum
    {
      _S_iminus,
      _S_iplus,
      _S_ix,
      _S_iX,
      _S_izero,
      _S_ie = _S_izero + 14,
      _S_iE = _S_izero + 20,
      _S_iend = 26
    };



    static void
    _S_format_float(const ios_base& __io, char* __fptr, char __mod) throw();
  };

  template<typename _CharT>
    struct __numpunct_cache : public locale::facet
    {
      const char* _M_grouping;
      size_t _M_grouping_size;
      bool _M_use_grouping;
      const _CharT* _M_truename;
      size_t _M_truename_size;
      const _CharT* _M_falsename;
      size_t _M_falsename_size;
      _CharT _M_decimal_point;
      _CharT _M_thousands_sep;





      _CharT _M_atoms_out[__num_base::_S_oend];





      _CharT _M_atoms_in[__num_base::_S_iend];

      bool _M_allocated;

      __numpunct_cache(size_t __refs = 0)
      : facet(__refs), _M_grouping(0), _M_grouping_size(0),
 _M_use_grouping(false),
 _M_truename(0), _M_truename_size(0), _M_falsename(0),
 _M_falsename_size(0), _M_decimal_point(_CharT()),
 _M_thousands_sep(_CharT()), _M_allocated(false)
 { }

      ~__numpunct_cache();

      void
      _M_cache(const locale& __loc);

    private:
      __numpunct_cache&
      operator=(const __numpunct_cache&);

      explicit
      __numpunct_cache(const __numpunct_cache&);
    };

  template<typename _CharT>
    __numpunct_cache<_CharT>::~__numpunct_cache()
    {
      if (_M_allocated)
 {
   delete [] _M_grouping;
   delete [] _M_truename;
   delete [] _M_falsename;
 }
    }

namespace __cxx11 {
# 1677 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _CharT>
    class numpunct : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      typedef __numpunct_cache<_CharT> __cache_type;

    protected:
      __cache_type* _M_data;

    public:

      static locale::id id;






      explicit
      numpunct(size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_numpunct(); }
# 1715 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      numpunct(__cache_type* __cache, size_t __refs = 0)
      : facet(__refs), _M_data(__cache)
      { _M_initialize_numpunct(); }
# 1729 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      numpunct(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_numpunct(__cloc); }
# 1743 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      decimal_point() const
      { return this->do_decimal_point(); }
# 1756 "/usr/include/c++/13/bits/locale_facets.h" 3
      char_type
      thousands_sep() const
      { return this->do_thousands_sep(); }
# 1787 "/usr/include/c++/13/bits/locale_facets.h" 3
      string
      grouping() const
      { return this->do_grouping(); }
# 1800 "/usr/include/c++/13/bits/locale_facets.h" 3
      string_type
      truename() const
      { return this->do_truename(); }
# 1813 "/usr/include/c++/13/bits/locale_facets.h" 3
      string_type
      falsename() const
      { return this->do_falsename(); }

    protected:

      virtual
      ~numpunct();
# 1830 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_decimal_point() const
      { return _M_data->_M_decimal_point; }
# 1842 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual char_type
      do_thousands_sep() const
      { return _M_data->_M_thousands_sep; }
# 1855 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual string
      do_grouping() const
      { return _M_data->_M_grouping; }
# 1868 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual string_type
      do_truename() const
      { return _M_data->_M_truename; }
# 1881 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual string_type
      do_falsename() const
      { return _M_data->_M_falsename; }


      void
      _M_initialize_numpunct(__c_locale __cloc = 0);
    };

  template<typename _CharT>
    locale::id numpunct<_CharT>::id;

  template<>
    numpunct<char>::~numpunct();

  template<>
    void
    numpunct<char>::_M_initialize_numpunct(__c_locale __cloc);


  template<>
    numpunct<wchar_t>::~numpunct();

  template<>
    void
    numpunct<wchar_t>::_M_initialize_numpunct(__c_locale __cloc);



  template<typename _CharT>
    class numpunct_byname : public numpunct<_CharT>
    {
    public:
      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      explicit
      numpunct_byname(const char* __s, size_t __refs = 0)
      : numpunct<_CharT>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     __c_locale __tmp;
     this->_S_create_c_locale(__tmp, __s);
     this->_M_initialize_numpunct(__tmp);
     this->_S_destroy_c_locale(__tmp);
   }
      }


      explicit
      numpunct_byname(const string& __s, size_t __refs = 0)
      : numpunct_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~numpunct_byname() { }
    };

}


# 1959 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _CharT, typename _InIter>
    class num_get : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _InIter iter_type;



      static locale::id id;
# 1980 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      num_get(size_t __refs = 0) : facet(__refs) { }
# 2006 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, bool& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2043 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned short& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned int& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }


      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, unsigned long long& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2103 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, float& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, double& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, long double& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }
# 2146 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      get(iter_type __in, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, void*& __v) const
      { return this->do_get(__in, __end, __io, __err, __v); }

    protected:

      virtual ~num_get() { }

      __attribute ((__abi_tag__ ("cxx11")))
      iter_type
      _M_extract_float(iter_type, iter_type, ios_base&, ios_base::iostate&,
         string&) const;

      template<typename _ValueT>
 __attribute ((__abi_tag__ ("cxx11")))
 iter_type
 _M_extract_int(iter_type, iter_type, ios_base&, ios_base::iostate&,
         _ValueT&) const;

      template<typename _CharT2>
      typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value, int>::__type
 _M_find(const _CharT2*, size_t __len, _CharT2 __c) const
 {
   int __ret = -1;
   if (__len <= 10)
     {
       if (__c >= _CharT2('0') && __c < _CharT2(_CharT2('0') + __len))
  __ret = __c - _CharT2('0');
     }
   else
     {
       if (__c >= _CharT2('0') && __c <= _CharT2('9'))
  __ret = __c - _CharT2('0');
       else if (__c >= _CharT2('a') && __c <= _CharT2('f'))
  __ret = 10 + (__c - _CharT2('a'));
       else if (__c >= _CharT2('A') && __c <= _CharT2('F'))
  __ret = 10 + (__c - _CharT2('A'));
     }
   return __ret;
 }

      template<typename _CharT2>
      typename __gnu_cxx::__enable_if<!__is_char<_CharT2>::__value,
          int>::__type
 _M_find(const _CharT2* __zero, size_t __len, _CharT2 __c) const
 {
   int __ret = -1;
   const char_type* __q = char_traits<_CharT2>::find(__zero, __len, __c);
   if (__q)
     {
       __ret = __q - __zero;
       if (__ret > 15)
  __ret -= 6;
     }
   return __ret;
 }
# 2219 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, bool&) const;

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned short& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned int& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, float&) const;

      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      double&) const;
# 2271 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      long double&) const;


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, void*&) const;
# 2299 "/usr/include/c++/13/bits/locale_facets.h" 3
    };

  template<typename _CharT, typename _InIter>
    locale::id num_get<_CharT, _InIter>::id;
# 2317 "/usr/include/c++/13/bits/locale_facets.h" 3
  template<typename _CharT, typename _OutIter>
    class num_put : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _OutIter iter_type;



      static locale::id id;
# 2338 "/usr/include/c++/13/bits/locale_facets.h" 3
      explicit
      num_put(size_t __refs = 0) : facet(__refs) { }
# 2356 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2398 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   unsigned long __v) const
      { return this->do_put(__s, __io, __fill, __v); }


      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, long long __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   unsigned long long __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2461 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
      { return this->do_put(__s, __io, __fill, __v); }

      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   long double __v) const
      { return this->do_put(__s, __io, __fill, __v); }
# 2486 "/usr/include/c++/13/bits/locale_facets.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   const void* __v) const
      { return this->do_put(__s, __io, __fill, __v); }

    protected:
      template<typename _ValueT>
 iter_type
 _M_insert_float(iter_type, ios_base& __io, char_type __fill,
   char __mod, _ValueT __v) const;

      void
      _M_group_float(const char* __grouping, size_t __grouping_size,
       char_type __sep, const char_type* __p, char_type* __new,
       char_type* __cs, int& __len) const;

      template<typename _ValueT>
 iter_type
 _M_insert_int(iter_type, ios_base& __io, char_type __fill,
        _ValueT __v) const;

      void
      _M_group_int(const char* __grouping, size_t __grouping_size,
     char_type __sep, ios_base& __io, char_type* __new,
     char_type* __cs, int& __len) const;

      void
      _M_pad(char_type __fill, streamsize __w, ios_base& __io,
      char_type* __new, const char_type* __cs, int& __len) const;


      virtual
      ~num_put() { }
# 2534 "/usr/include/c++/13/bits/locale_facets.h" 3
      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const;

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, double) const;






      virtual iter_type
      do_put(iter_type, ios_base&, char_type, long double) const;


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, const void*) const;
# 2586 "/usr/include/c++/13/bits/locale_facets.h" 3
    };

  template <typename _CharT, typename _OutIter>
    locale::id num_put<_CharT, _OutIter>::id;









  template<typename _CharT>
    inline bool
    isspace(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::space, __c); }


  template<typename _CharT>
    inline bool
    isprint(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::print, __c); }


  template<typename _CharT>
    inline bool
    iscntrl(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::cntrl, __c); }


  template<typename _CharT>
    inline bool
    isupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::upper, __c); }


  template<typename _CharT>
    inline bool
    islower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::lower, __c); }


  template<typename _CharT>
    inline bool
    isalpha(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alpha, __c); }


  template<typename _CharT>
    inline bool
    isdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::digit, __c); }


  template<typename _CharT>
    inline bool
    ispunct(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::punct, __c); }


  template<typename _CharT>
    inline bool
    isxdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::xdigit, __c); }


  template<typename _CharT>
    inline bool
    isalnum(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alnum, __c); }


  template<typename _CharT>
    inline bool
    isgraph(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::graph, __c); }



  template<typename _CharT>
    inline bool
    isblank(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::blank, __c); }



  template<typename _CharT>
    inline _CharT
    toupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).toupper(__c); }


  template<typename _CharT>
    inline _CharT
    tolower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).tolower(__c); }


}

# 1 "/usr/include/c++/13/bits/locale_facets.tcc" 1 3
# 33 "/usr/include/c++/13/bits/locale_facets.tcc" 3
       
# 34 "/usr/include/c++/13/bits/locale_facets.tcc" 3

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




  template<typename _Facet>
    struct __use_cache
    {
      const _Facet*
      operator() (const locale& __loc) const;
    };


  template<typename _CharT>
    struct __use_cache<__numpunct_cache<_CharT> >
    {
      const __numpunct_cache<_CharT>*
      operator() (const locale& __loc) const
      {
 const size_t __i = numpunct<_CharT>::id._M_id();
 const locale::facet** __caches = __loc._M_impl->_M_caches;
 if (!__caches[__i])
   {
     __numpunct_cache<_CharT>* __tmp = 0;
     try
       {
  __tmp = new __numpunct_cache<_CharT>;
  __tmp->_M_cache(__loc);
       }
     catch(...)
       {
  delete __tmp;
  throw;
       }
     __loc._M_impl->_M_install_cache(__tmp, __i);
   }
 return static_cast<const __numpunct_cache<_CharT>*>(__caches[__i]);
      }
    };

  template<typename _CharT>
    void
    __numpunct_cache<_CharT>::_M_cache(const locale& __loc)
    {
      const numpunct<_CharT>& __np = use_facet<numpunct<_CharT> >(__loc);

      char* __grouping = 0;
      _CharT* __truename = 0;
      _CharT* __falsename = 0;
      try
 {
   const string& __g = __np.grouping();
   _M_grouping_size = __g.size();
   __grouping = new char[_M_grouping_size];
   __g.copy(__grouping, _M_grouping_size);
   _M_use_grouping = (_M_grouping_size
        && static_cast<signed char>(__grouping[0]) > 0
        && (__grouping[0]
     != __gnu_cxx::__numeric_traits<char>::__max));

   const basic_string<_CharT>& __tn = __np.truename();
   _M_truename_size = __tn.size();
   __truename = new _CharT[_M_truename_size];
   __tn.copy(__truename, _M_truename_size);

   const basic_string<_CharT>& __fn = __np.falsename();
   _M_falsename_size = __fn.size();
   __falsename = new _CharT[_M_falsename_size];
   __fn.copy(__falsename, _M_falsename_size);

   _M_decimal_point = __np.decimal_point();
   _M_thousands_sep = __np.thousands_sep();

   const ctype<_CharT>& __ct = use_facet<ctype<_CharT> >(__loc);
   __ct.widen(__num_base::_S_atoms_out,
       __num_base::_S_atoms_out
       + __num_base::_S_oend, _M_atoms_out);
   __ct.widen(__num_base::_S_atoms_in,
       __num_base::_S_atoms_in
       + __num_base::_S_iend, _M_atoms_in);

   _M_grouping = __grouping;
   _M_truename = __truename;
   _M_falsename = __falsename;
   _M_allocated = true;
 }
      catch(...)
 {
   delete [] __grouping;
   delete [] __truename;
   delete [] __falsename;
   throw;
 }
    }
# 139 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  __attribute__ ((__pure__)) bool
  __verify_grouping(const char* __grouping, size_t __grouping_size,
      const string& __grouping_tmp) throw ();



  template<typename _CharT, typename _InIter>
    __attribute ((__abi_tag__ ("cxx11")))
    _InIter
    num_get<_CharT, _InIter>::
    _M_extract_float(_InIter __beg, _InIter __end, ios_base& __io,
       ios_base::iostate& __err, string& __xtrc) const
    {
      typedef char_traits<_CharT> __traits_type;
      typedef __numpunct_cache<_CharT> __cache_type;
      __use_cache<__cache_type> __uc;
      const locale& __loc = __io._M_getloc();
      const __cache_type* __lc = __uc(__loc);
      const _CharT* __lit = __lc->_M_atoms_in;
      char_type __c = char_type();


      bool __testeof = __beg == __end;


      if (!__testeof)
 {
   __c = *__beg;
   const bool __plus = __c == __lit[__num_base::_S_iplus];
   if ((__plus || __c == __lit[__num_base::_S_iminus])
       && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       && !(__c == __lc->_M_decimal_point))
     {
       __xtrc += __plus ? '+' : '-';
       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
 }


      bool __found_mantissa = false;
      int __sep_pos = 0;
      while (!__testeof)
 {
   if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       || __c == __lc->_M_decimal_point)
     break;
   else if (__c == __lit[__num_base::_S_izero])
     {
       if (!__found_mantissa)
  {
    __xtrc += '0';
    __found_mantissa = true;
  }
       ++__sep_pos;

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
   else
     break;
 }


      bool __found_dec = false;
      bool __found_sci = false;
      string __found_grouping;
      if (__lc->_M_use_grouping)
 __found_grouping.reserve(32);
      const char_type* __lit_zero = __lit + __num_base::_S_izero;

      if (!__lc->_M_allocated)

 while (!__testeof)
   {
     const int __digit = _M_find(__lit_zero, 10, __c);
     if (__digit != -1)
       {
  __xtrc += '0' + __digit;
  __found_mantissa = true;
       }
     else if (__c == __lc->_M_decimal_point
       && !__found_dec && !__found_sci)
       {
  __xtrc += '.';
  __found_dec = true;
       }
     else if ((__c == __lit[__num_base::_S_ie]
        || __c == __lit[__num_base::_S_iE])
       && !__found_sci && __found_mantissa)
       {

  __xtrc += 'e';
  __found_sci = true;


  if (++__beg != __end)
    {
      __c = *__beg;
      const bool __plus = __c == __lit[__num_base::_S_iplus];
      if (__plus || __c == __lit[__num_base::_S_iminus])
        __xtrc += __plus ? '+' : '-';
      else
        continue;
    }
  else
    {
      __testeof = true;
      break;
    }
       }
     else
       break;

     if (++__beg != __end)
       __c = *__beg;
     else
       __testeof = true;
   }
      else
 while (!__testeof)
   {


     if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
       {
  if (!__found_dec && !__found_sci)
    {


      if (__sep_pos)
        {
   __found_grouping += static_cast<char>(__sep_pos);
   __sep_pos = 0;
        }
      else
        {


   __xtrc.clear();
   break;
        }
    }
  else
    break;
       }
     else if (__c == __lc->_M_decimal_point)
       {
  if (!__found_dec && !__found_sci)
    {



      if (__found_grouping.size())
        __found_grouping += static_cast<char>(__sep_pos);
      __xtrc += '.';
      __found_dec = true;
    }
  else
    break;
       }
     else
       {
  const char_type* __q =
    __traits_type::find(__lit_zero, 10, __c);
  if (__q)
    {
      __xtrc += '0' + (__q - __lit_zero);
      __found_mantissa = true;
      ++__sep_pos;
    }
  else if ((__c == __lit[__num_base::_S_ie]
     || __c == __lit[__num_base::_S_iE])
    && !__found_sci && __found_mantissa)
    {

      if (__found_grouping.size() && !__found_dec)
        __found_grouping += static_cast<char>(__sep_pos);
      __xtrc += 'e';
      __found_sci = true;


      if (++__beg != __end)
        {
   __c = *__beg;
   const bool __plus = __c == __lit[__num_base::_S_iplus];
   if ((__plus || __c == __lit[__num_base::_S_iminus])
       && !(__lc->_M_use_grouping
     && __c == __lc->_M_thousands_sep)
       && !(__c == __lc->_M_decimal_point))
        __xtrc += __plus ? '+' : '-';
   else
     continue;
        }
      else
        {
   __testeof = true;
   break;
        }
    }
  else
    break;
       }

     if (++__beg != __end)
       __c = *__beg;
     else
       __testeof = true;
   }



      if (__found_grouping.size())
        {

   if (!__found_dec && !__found_sci)
     __found_grouping += static_cast<char>(__sep_pos);

          if (!std::__verify_grouping(__lc->_M_grouping,
          __lc->_M_grouping_size,
          __found_grouping))
     __err = ios_base::failbit;
        }

      return __beg;
    }

  template<typename _CharT, typename _InIter>
    template<typename _ValueT>
      __attribute ((__abi_tag__ ("cxx11")))
      _InIter
      num_get<_CharT, _InIter>::
      _M_extract_int(_InIter __beg, _InIter __end, ios_base& __io,
       ios_base::iostate& __err, _ValueT& __v) const
      {
        typedef char_traits<_CharT> __traits_type;
 using __gnu_cxx::__add_unsigned;
 typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);
 const _CharT* __lit = __lc->_M_atoms_in;
 char_type __c = char_type();


 const ios_base::fmtflags __basefield = __io.flags()
                                        & ios_base::basefield;
 const bool __oct = __basefield == ios_base::oct;
 int __base = __oct ? 8 : (__basefield == ios_base::hex ? 16 : 10);


 bool __testeof = __beg == __end;


 bool __negative = false;
 if (!__testeof)
   {
     __c = *__beg;
     __negative = __c == __lit[__num_base::_S_iminus];
     if ((__negative || __c == __lit[__num_base::_S_iplus])
  && !(__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  && !(__c == __lc->_M_decimal_point))
       {
  if (++__beg != __end)
    __c = *__beg;
  else
    __testeof = true;
       }
   }



 bool __found_zero = false;
 int __sep_pos = 0;
 while (!__testeof)
   {
     if ((__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  || __c == __lc->_M_decimal_point)
       break;
     else if (__c == __lit[__num_base::_S_izero]
       && (!__found_zero || __base == 10))
       {
  __found_zero = true;
  ++__sep_pos;
  if (__basefield == 0)
    __base = 8;
  if (__base == 8)
    __sep_pos = 0;
       }
     else if (__found_zero
       && (__c == __lit[__num_base::_S_ix]
    || __c == __lit[__num_base::_S_iX]))
       {
  if (__basefield == 0)
    __base = 16;
  if (__base == 16)
    {
      __found_zero = false;
      __sep_pos = 0;
    }
  else
    break;
       }
     else
       break;

     if (++__beg != __end)
       {
  __c = *__beg;
  if (!__found_zero)
    break;
       }
     else
       __testeof = true;
   }



 const size_t __len = (__base == 16 ? __num_base::_S_iend
         - __num_base::_S_izero : __base);


 typedef __gnu_cxx::__numeric_traits<_ValueT> __num_traits;
 string __found_grouping;
 if (__lc->_M_use_grouping)
   __found_grouping.reserve(32);
 bool __testfail = false;
 bool __testoverflow = false;
 const __unsigned_type __max =
   (__negative && __num_traits::__is_signed)
   ? -static_cast<__unsigned_type>(__num_traits::__min)
   : __num_traits::__max;
 const __unsigned_type __smax = __max / __base;
 __unsigned_type __result = 0;
 int __digit = 0;
 const char_type* __lit_zero = __lit + __num_base::_S_izero;

 if (!__lc->_M_allocated)

   while (!__testeof)
     {
       __digit = _M_find(__lit_zero, __len, __c);
       if (__digit == -1)
  break;

       if (__result > __smax)
  __testoverflow = true;
       else
  {
    __result *= __base;
    __testoverflow |= __result > __max - __digit;
    __result += __digit;
    ++__sep_pos;
  }

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }
 else
   while (!__testeof)
     {


       if (__lc->_M_use_grouping && __c == __lc->_M_thousands_sep)
  {


    if (__sep_pos)
      {
        __found_grouping += static_cast<char>(__sep_pos);
        __sep_pos = 0;
      }
    else
      {
        __testfail = true;
        break;
      }
  }
       else if (__c == __lc->_M_decimal_point)
  break;
       else
  {
    const char_type* __q =
      __traits_type::find(__lit_zero, __len, __c);
    if (!__q)
      break;

    __digit = __q - __lit_zero;
    if (__digit > 15)
      __digit -= 6;
    if (__result > __smax)
      __testoverflow = true;
    else
      {
        __result *= __base;
        __testoverflow |= __result > __max - __digit;
        __result += __digit;
        ++__sep_pos;
      }
  }

       if (++__beg != __end)
  __c = *__beg;
       else
  __testeof = true;
     }



 if (__found_grouping.size())
   {

     __found_grouping += static_cast<char>(__sep_pos);

     if (!std::__verify_grouping(__lc->_M_grouping,
     __lc->_M_grouping_size,
     __found_grouping))
       __err = ios_base::failbit;
   }



 if ((!__sep_pos && !__found_zero && !__found_grouping.size())
     || __testfail)
   {
     __v = 0;
     __err = ios_base::failbit;
   }
 else if (__testoverflow)
   {
     if (__negative && __num_traits::__is_signed)
       __v = __num_traits::__min;
     else
       __v = __num_traits::__max;
     __err = ios_base::failbit;
   }
 else
   __v = __negative ? -__result : __result;

 if (__testeof)
   __err |= ios_base::eofbit;
 return __beg;
      }



  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, bool& __v) const
    {
      if (!(__io.flags() & ios_base::boolalpha))
        {



   long __l = -1;
          __beg = _M_extract_int(__beg, __end, __io, __err, __l);
   if (__l == 0 || __l == 1)
     __v = bool(__l);
   else
     {


       __v = true;
       __err = ios_base::failbit;
       if (__beg == __end)
  __err |= ios_base::eofbit;
     }
        }
      else
        {

   typedef __numpunct_cache<_CharT> __cache_type;
   __use_cache<__cache_type> __uc;
   const locale& __loc = __io._M_getloc();
   const __cache_type* __lc = __uc(__loc);

   bool __testf = true;
   bool __testt = true;
   bool __donef = __lc->_M_falsename_size == 0;
   bool __donet = __lc->_M_truename_size == 0;
   bool __testeof = false;
   size_t __n = 0;
   while (!__donef || !__donet)
     {
       if (__beg == __end)
  {
    __testeof = true;
    break;
  }

       const char_type __c = *__beg;

       if (!__donef)
  __testf = __c == __lc->_M_falsename[__n];

       if (!__testf && __donet)
  break;

       if (!__donet)
  __testt = __c == __lc->_M_truename[__n];

       if (!__testt && __donef)
  break;

       if (!__testt && !__testf)
  break;

       ++__n;
       ++__beg;

       __donef = !__testf || __n >= __lc->_M_falsename_size;
       __donet = !__testt || __n >= __lc->_M_truename_size;
     }
   if (__testf && __n == __lc->_M_falsename_size && __n)
     {
       __v = false;
       if (__testt && __n == __lc->_M_truename_size)
  __err = ios_base::failbit;
       else
  __err = __testeof ? ios_base::eofbit : ios_base::goodbit;
     }
   else if (__testt && __n == __lc->_M_truename_size && __n)
     {
       __v = true;
       __err = __testeof ? ios_base::eofbit : ios_base::goodbit;
     }
   else
     {


       __v = false;
       __err = ios_base::failbit;
       if (__testeof)
  __err |= ios_base::eofbit;
     }
 }
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, float& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, double& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }
# 735 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, long double& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, void*& __v) const
    {

      typedef ios_base::fmtflags fmtflags;
      const fmtflags __fmt = __io.flags();
      __io.flags((__fmt & ~ios_base::basefield) | ios_base::hex);

      typedef __gnu_cxx::__conditional_type<(sizeof(void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      _UIntPtrType __ul;
      __beg = _M_extract_int(__beg, __end, __io, __err, __ul);


      __io.flags(__fmt);

      __v = reinterpret_cast<void*>(__ul);
      return __beg;
    }
# 795 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_pad(_CharT __fill, streamsize __w, ios_base& __io,
    _CharT* __new, const _CharT* __cs, int& __len) const
    {


      __pad<_CharT, char_traits<_CharT> >::_S_pad(__io, __fill, __new,
        __cs, __w, __len);
      __len = static_cast<int>(__w);
    }



  template<typename _CharT, typename _ValueT>
    int
    __int_to_char(_CharT* __bufend, _ValueT __v, const _CharT* __lit,
    ios_base::fmtflags __flags, bool __dec)
    {
      _CharT* __buf = __bufend;
      if (__builtin_expect(__dec, true))
 {

   do
     {
       *--__buf = __lit[(__v % 10) + __num_base::_S_odigits];
       __v /= 10;
     }
   while (__v != 0);
 }
      else if ((__flags & ios_base::basefield) == ios_base::oct)
 {

   do
     {
       *--__buf = __lit[(__v & 0x7) + __num_base::_S_odigits];
       __v >>= 3;
     }
   while (__v != 0);
 }
      else
 {

   const bool __uppercase = __flags & ios_base::uppercase;
   const int __case_offset = __uppercase ? __num_base::_S_oudigits
                                         : __num_base::_S_odigits;
   do
     {
       *--__buf = __lit[(__v & 0xf) + __case_offset];
       __v >>= 4;
     }
   while (__v != 0);
 }
      return __bufend - __buf;
    }



  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_int(const char* __grouping, size_t __grouping_size, _CharT __sep,
   ios_base&, _CharT* __new, _CharT* __cs, int& __len) const
    {
      _CharT* __p = std::__add_grouping(__new, __sep, __grouping,
     __grouping_size, __cs, __cs + __len);
      __len = __p - __new;
    }

  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_int(_OutIter __s, ios_base& __io, _CharT __fill,
      _ValueT __v) const
      {
 using __gnu_cxx::__add_unsigned;
 typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);
 const _CharT* __lit = __lc->_M_atoms_out;
 const ios_base::fmtflags __flags = __io.flags();


 const int __ilen = 5 * sizeof(_ValueT);
 _CharT* __cs = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __ilen));



 const ios_base::fmtflags __basefield = __flags & ios_base::basefield;
 const bool __dec = (__basefield != ios_base::oct
       && __basefield != ios_base::hex);
 const __unsigned_type __u = ((__v > 0 || !__dec)
         ? __unsigned_type(__v)
         : -__unsigned_type(__v));
  int __len = __int_to_char(__cs + __ilen, __u, __lit, __flags, __dec);
 __cs += __ilen - __len;


 if (__lc->_M_use_grouping)
   {


     _CharT* __cs2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * (__len + 1)
          * 2));
     _M_group_int(__lc->_M_grouping, __lc->_M_grouping_size,
    __lc->_M_thousands_sep, __io, __cs2 + 2, __cs, __len);
     __cs = __cs2 + 2;
   }


 if (__builtin_expect(__dec, true))
   {

     if (__v >= 0)
       {
  if (bool(__flags & ios_base::showpos)
      && __gnu_cxx::__numeric_traits<_ValueT>::__is_signed)
    *--__cs = __lit[__num_base::_S_oplus], ++__len;
       }
     else
       *--__cs = __lit[__num_base::_S_ominus], ++__len;
   }
 else if (bool(__flags & ios_base::showbase) && __v)
   {
     if (__basefield == ios_base::oct)
       *--__cs = __lit[__num_base::_S_odigits], ++__len;
     else
       {

  const bool __uppercase = __flags & ios_base::uppercase;
  *--__cs = __lit[__num_base::_S_ox + __uppercase];

  *--__cs = __lit[__num_base::_S_odigits];
  __len += 2;
       }
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __cs3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __cs3, __cs, __len);
     __cs = __cs3;
   }
 __io.width(0);



 return std::__write(__s, __cs, __len);
      }

  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_float(const char* __grouping, size_t __grouping_size,
     _CharT __sep, const _CharT* __p, _CharT* __new,
     _CharT* __cs, int& __len) const
    {



      const int __declen = __p ? __p - __cs : __len;
      _CharT* __p2 = std::__add_grouping(__new, __sep, __grouping,
      __grouping_size,
      __cs, __cs + __declen);


      int __newlen = __p2 - __new;
      if (__p)
 {
   char_traits<_CharT>::copy(__p2, __p, __len - __declen);
   __newlen += __len - __declen;
 }
      __len = __newlen;
    }
# 989 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_float(_OutIter __s, ios_base& __io, _CharT __fill, char __mod,
         _ValueT __v) const
      {
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);


 const streamsize __prec = __io.precision() < 0 ? 6 : __io.precision();

 const int __max_digits =
   __gnu_cxx::__numeric_traits<_ValueT>::__digits10;


 int __len;

 char __fbuf[16];
 __num_base::_S_format_float(__io, __fbuf, __mod);



 const bool __use_prec =
   (__io.flags() & ios_base::floatfield) != ios_base::floatfield;



 int __cs_size = __max_digits * 3;
 char* __cs = static_cast<char*>(__builtin_alloca(__cs_size));
 if (__use_prec)
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __prec, __v);
 else
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __v);


 if (__len >= __cs_size)
   {
     __cs_size = __len + 1;
     __cs = static_cast<char*>(__builtin_alloca(__cs_size));
     if (__use_prec)
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __prec, __v);
     else
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __v);
   }
# 1062 "/usr/include/c++/13/bits/locale_facets.tcc" 3
 const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

 _CharT* __ws = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __len));
 __ctype.widen(__cs, __cs + __len, __ws);


 _CharT* __wp = 0;
 const char* __p = char_traits<char>::find(__cs, __len, '.');
 if (__p)
   {
     __wp = __ws + (__p - __cs);
     *__wp = __lc->_M_decimal_point;
   }




 if (__lc->_M_use_grouping
     && (__wp || __len < 3 || (__cs[1] <= '9' && __cs[2] <= '9'
          && __cs[1] >= '0' && __cs[2] >= '0')))
   {


     _CharT* __ws2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __len * 2));

     streamsize __off = 0;
     if (__cs[0] == '-' || __cs[0] == '+')
       {
  __off = 1;
  __ws2[0] = __ws[0];
  __len -= 1;
       }

     _M_group_float(__lc->_M_grouping, __lc->_M_grouping_size,
      __lc->_M_thousands_sep, __wp, __ws2 + __off,
      __ws + __off, __len);
     __len += __off;

     __ws = __ws2;
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __ws3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __ws3, __ws, __len);
     __ws = __ws3;
   }
 __io.width(0);



 return std::__write(__s, __ws, __len);
      }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      if ((__flags & ios_base::boolalpha) == 0)
        {
          const long __l = __v;
          __s = _M_insert_int(__s, __io, __fill, __l);
        }
      else
        {
   typedef __numpunct_cache<_CharT> __cache_type;
   __use_cache<__cache_type> __uc;
   const locale& __loc = __io._M_getloc();
   const __cache_type* __lc = __uc(__loc);

   const _CharT* __name = __v ? __lc->_M_truename
                              : __lc->_M_falsename;
   int __len = __v ? __lc->_M_truename_size
                   : __lc->_M_falsename_size;

   const streamsize __w = __io.width();
   if (__w > static_cast<streamsize>(__len))
     {
       const streamsize __plen = __w - __len;
       _CharT* __ps
  = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
       * __plen));

       char_traits<_CharT>::assign(__ps, __plen, __fill);
       __io.width(0);

       if ((__flags & ios_base::adjustfield) == ios_base::left)
  {
    __s = std::__write(__s, __name, __len);
    __s = std::__write(__s, __ps, __plen);
  }
       else
  {
    __s = std::__write(__s, __ps, __plen);
    __s = std::__write(__s, __name, __len);
  }
       return __s;
     }
   __io.width(0);
   __s = std::__write(__s, __name, __len);
 }
      return __s;
    }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
    { return _M_insert_float(__s, __io, __fill, char(), __v); }
# 1187 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
    long double __v) const
    { return _M_insert_float(__s, __io, __fill, 'L', __v); }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
           const void* __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      const ios_base::fmtflags __fmt = ~(ios_base::basefield
      | ios_base::uppercase);
      __io.flags((__flags & __fmt) | (ios_base::hex | ios_base::showbase));

      typedef __gnu_cxx::__conditional_type<(sizeof(const void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      __s = _M_insert_int(__s, __io, __fill,
     reinterpret_cast<_UIntPtrType>(__v));
      __io.flags(__flags);
      return __s;
    }
# 1224 "/usr/include/c++/13/bits/locale_facets.tcc" 3

# 1233 "/usr/include/c++/13/bits/locale_facets.tcc" 3
  template<typename _CharT, typename _Traits>
    void
    __pad<_CharT, _Traits>::_S_pad(ios_base& __io, _CharT __fill,
       _CharT* __news, const _CharT* __olds,
       streamsize __newlen, streamsize __oldlen)
    {
      const size_t __plen = static_cast<size_t>(__newlen - __oldlen);
      const ios_base::fmtflags __adjust = __io.flags() & ios_base::adjustfield;


      if (__adjust == ios_base::left)
 {
   _Traits::copy(__news, __olds, __oldlen);
   _Traits::assign(__news + __oldlen, __plen, __fill);
   return;
 }

      size_t __mod = 0;
      if (__adjust == ios_base::internal)
 {



          const locale& __loc = __io._M_getloc();
   const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

   if (__ctype.widen('-') == __olds[0]
       || __ctype.widen('+') == __olds[0])
     {
       __news[0] = __olds[0];
       __mod = 1;
       ++__news;
     }
   else if (__ctype.widen('0') == __olds[0]
     && __oldlen > 1
     && (__ctype.widen('x') == __olds[1]
         || __ctype.widen('X') == __olds[1]))
     {
       __news[0] = __olds[0];
       __news[1] = __olds[1];
       __mod = 2;
       __news += 2;
     }

 }
      _Traits::assign(__news, __plen, __fill);
      _Traits::copy(__news + __plen, __olds + __mod, __oldlen - __mod);
    }

  template<typename _CharT>
    _CharT*
    __add_grouping(_CharT* __s, _CharT __sep,
     const char* __gbeg, size_t __gsize,
     const _CharT* __first, const _CharT* __last)
    {
      size_t __idx = 0;
      size_t __ctr = 0;

      while (__last - __first > __gbeg[__idx]
      && static_cast<signed char>(__gbeg[__idx]) > 0
      && __gbeg[__idx] != __gnu_cxx::__numeric_traits<char>::__max)
 {
   __last -= __gbeg[__idx];
   __idx < __gsize - 1 ? ++__idx : ++__ctr;
 }

      while (__first != __last)
 *__s++ = *__first++;

      while (__ctr--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      while (__idx--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      return __s;
    }




  extern template class __cxx11:: numpunct<char>;
  extern template class __cxx11:: numpunct_byname<char>;
  extern template class num_get<char>;
  extern template class num_put<char>;
  extern template class ctype_byname<char>;

  extern template
    const ctype<char>*
    __try_use_facet<ctype<char> >(const locale&) noexcept;

  extern template
    const numpunct<char>*
    __try_use_facet<numpunct<char> >(const locale&) noexcept;

  extern template
    const num_put<char>*
    __try_use_facet<num_put<char> >(const locale&) noexcept;

  extern template
    const num_get<char>*
    __try_use_facet<num_get<char> >(const locale&) noexcept;

  extern template
    const ctype<char>&
    use_facet<ctype<char> >(const locale&);

  extern template
    const numpunct<char>&
    use_facet<numpunct<char> >(const locale&);

  extern template
    const num_put<char>&
    use_facet<num_put<char> >(const locale&);

  extern template
    const num_get<char>&
    use_facet<num_get<char> >(const locale&);

  extern template
    bool
    has_facet<ctype<char> >(const locale&);

  extern template
    bool
    has_facet<numpunct<char> >(const locale&);

  extern template
    bool
    has_facet<num_put<char> >(const locale&);

  extern template
    bool
    has_facet<num_get<char> >(const locale&);


  extern template class __cxx11:: numpunct<wchar_t>;
  extern template class __cxx11:: numpunct_byname<wchar_t>;
  extern template class num_get<wchar_t>;
  extern template class num_put<wchar_t>;
  extern template class ctype_byname<wchar_t>;

  extern template
    const ctype<wchar_t>*
    __try_use_facet<ctype<wchar_t> >(const locale&) noexcept;

  extern template
    const numpunct<wchar_t>*
    __try_use_facet<numpunct<wchar_t> >(const locale&) noexcept;

  extern template
    const num_put<wchar_t>*
    __try_use_facet<num_put<wchar_t> >(const locale&) noexcept;

  extern template
    const num_get<wchar_t>*
    __try_use_facet<num_get<wchar_t> >(const locale&) noexcept;

  extern template
    const ctype<wchar_t>&
    use_facet<ctype<wchar_t> >(const locale&);

  extern template
    const numpunct<wchar_t>&
    use_facet<numpunct<wchar_t> >(const locale&);

  extern template
    const num_put<wchar_t>&
    use_facet<num_put<wchar_t> >(const locale&);

  extern template
    const num_get<wchar_t>&
    use_facet<num_get<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<ctype<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<numpunct<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_put<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_get<wchar_t> >(const locale&);




}
# 2688 "/usr/include/c++/13/bits/locale_facets.h" 2 3
# 43 "/usr/include/c++/13/locale" 2 3
# 1 "/usr/include/c++/13/bits/locale_facets_nonio.h" 1 3
# 37 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
       
# 38 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3

# 1 "/usr/include/c++/13/ctime" 1 3
# 39 "/usr/include/c++/13/ctime" 3
       
# 40 "/usr/include/c++/13/ctime" 3
# 58 "/usr/include/c++/13/ctime" 3
namespace std
{
  using ::clock_t;
  using ::time_t;
  using ::tm;

  using ::clock;
  using ::difftime;
  using ::mktime;
  using ::time;
  using ::asctime;
  using ::ctime;
  using ::gmtime;
  using ::localtime;
  using ::strftime;
}



namespace std
{
  using ::timespec;
  using ::timespec_get;
}
# 40 "/usr/include/c++/13/bits/locale_facets_nonio.h" 2 3

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

# 52 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  class time_base
  {
  public:
    enum dateorder { no_order, dmy, mdy, ymd, ydm };
  };

  template<typename _CharT>
    struct __timepunct_cache : public locale::facet
    {

      static const _CharT* _S_timezones[14];

      const _CharT* _M_date_format;
      const _CharT* _M_date_era_format;
      const _CharT* _M_time_format;
      const _CharT* _M_time_era_format;
      const _CharT* _M_date_time_format;
      const _CharT* _M_date_time_era_format;
      const _CharT* _M_am;
      const _CharT* _M_pm;
      const _CharT* _M_am_pm_format;


      const _CharT* _M_day1;
      const _CharT* _M_day2;
      const _CharT* _M_day3;
      const _CharT* _M_day4;
      const _CharT* _M_day5;
      const _CharT* _M_day6;
      const _CharT* _M_day7;


      const _CharT* _M_aday1;
      const _CharT* _M_aday2;
      const _CharT* _M_aday3;
      const _CharT* _M_aday4;
      const _CharT* _M_aday5;
      const _CharT* _M_aday6;
      const _CharT* _M_aday7;


      const _CharT* _M_month01;
      const _CharT* _M_month02;
      const _CharT* _M_month03;
      const _CharT* _M_month04;
      const _CharT* _M_month05;
      const _CharT* _M_month06;
      const _CharT* _M_month07;
      const _CharT* _M_month08;
      const _CharT* _M_month09;
      const _CharT* _M_month10;
      const _CharT* _M_month11;
      const _CharT* _M_month12;


      const _CharT* _M_amonth01;
      const _CharT* _M_amonth02;
      const _CharT* _M_amonth03;
      const _CharT* _M_amonth04;
      const _CharT* _M_amonth05;
      const _CharT* _M_amonth06;
      const _CharT* _M_amonth07;
      const _CharT* _M_amonth08;
      const _CharT* _M_amonth09;
      const _CharT* _M_amonth10;
      const _CharT* _M_amonth11;
      const _CharT* _M_amonth12;

      bool _M_allocated;

      __timepunct_cache(size_t __refs = 0) : facet(__refs),
      _M_date_format(0), _M_date_era_format(0), _M_time_format(0),
      _M_time_era_format(0), _M_date_time_format(0),
      _M_date_time_era_format(0), _M_am(0), _M_pm(0),
      _M_am_pm_format(0), _M_day1(0), _M_day2(0), _M_day3(0),
      _M_day4(0), _M_day5(0), _M_day6(0), _M_day7(0),
      _M_aday1(0), _M_aday2(0), _M_aday3(0), _M_aday4(0),
      _M_aday5(0), _M_aday6(0), _M_aday7(0), _M_month01(0),
      _M_month02(0), _M_month03(0), _M_month04(0), _M_month05(0),
      _M_month06(0), _M_month07(0), _M_month08(0), _M_month09(0),
      _M_month10(0), _M_month11(0), _M_month12(0), _M_amonth01(0),
      _M_amonth02(0), _M_amonth03(0), _M_amonth04(0),
      _M_amonth05(0), _M_amonth06(0), _M_amonth07(0),
      _M_amonth08(0), _M_amonth09(0), _M_amonth10(0),
      _M_amonth11(0), _M_amonth12(0), _M_allocated(false)
      { }

      ~__timepunct_cache();

    private:
      __timepunct_cache&
      operator=(const __timepunct_cache&);

      explicit
      __timepunct_cache(const __timepunct_cache&);
    };

  template<typename _CharT>
    __timepunct_cache<_CharT>::~__timepunct_cache()
    {
      if (_M_allocated)
 {

 }
    }


  template<>
    const char*
    __timepunct_cache<char>::_S_timezones[14];


  template<>
    const wchar_t*
    __timepunct_cache<wchar_t>::_S_timezones[14];



  template<typename _CharT>
    const _CharT* __timepunct_cache<_CharT>::_S_timezones[14];

  template<typename _CharT>
    class __timepunct : public locale::facet
    {
    public:

      typedef _CharT __char_type;
      typedef __timepunct_cache<_CharT> __cache_type;

    protected:
      __cache_type* _M_data;
      __c_locale _M_c_locale_timepunct;
      const char* _M_name_timepunct;

    public:

      static locale::id id;

      explicit
      __timepunct(size_t __refs = 0);

      explicit
      __timepunct(__cache_type* __cache, size_t __refs = 0);
# 206 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      __timepunct(__c_locale __cloc, const char* __s, size_t __refs = 0);



      void
      _M_put(_CharT* __s, size_t __maxlen, const _CharT* __format,
      const tm* __tm) const throw ();

      void
      _M_date_formats(const _CharT** __date) const
      {

 __date[0] = _M_data->_M_date_format;
 __date[1] = _M_data->_M_date_era_format;
      }

      void
      _M_time_formats(const _CharT** __time) const
      {

 __time[0] = _M_data->_M_time_format;
 __time[1] = _M_data->_M_time_era_format;
      }

      void
      _M_date_time_formats(const _CharT** __dt) const
      {

 __dt[0] = _M_data->_M_date_time_format;
 __dt[1] = _M_data->_M_date_time_era_format;
      }


      void
      _M_am_pm_format(const _CharT*) const
      { }


      void
      _M_am_pm_format(const _CharT** __ampm_format) const
      {
 __ampm_format[0] = _M_data->_M_am_pm_format;
      }

      void
      _M_am_pm(const _CharT** __ampm) const
      {
 __ampm[0] = _M_data->_M_am;
 __ampm[1] = _M_data->_M_pm;
      }

      void
      _M_days(const _CharT** __days) const
      {
 __days[0] = _M_data->_M_day1;
 __days[1] = _M_data->_M_day2;
 __days[2] = _M_data->_M_day3;
 __days[3] = _M_data->_M_day4;
 __days[4] = _M_data->_M_day5;
 __days[5] = _M_data->_M_day6;
 __days[6] = _M_data->_M_day7;
      }

      void
      _M_days_abbreviated(const _CharT** __days) const
      {
 __days[0] = _M_data->_M_aday1;
 __days[1] = _M_data->_M_aday2;
 __days[2] = _M_data->_M_aday3;
 __days[3] = _M_data->_M_aday4;
 __days[4] = _M_data->_M_aday5;
 __days[5] = _M_data->_M_aday6;
 __days[6] = _M_data->_M_aday7;
      }

      void
      _M_months(const _CharT** __months) const
      {
 __months[0] = _M_data->_M_month01;
 __months[1] = _M_data->_M_month02;
 __months[2] = _M_data->_M_month03;
 __months[3] = _M_data->_M_month04;
 __months[4] = _M_data->_M_month05;
 __months[5] = _M_data->_M_month06;
 __months[6] = _M_data->_M_month07;
 __months[7] = _M_data->_M_month08;
 __months[8] = _M_data->_M_month09;
 __months[9] = _M_data->_M_month10;
 __months[10] = _M_data->_M_month11;
 __months[11] = _M_data->_M_month12;
      }

      void
      _M_months_abbreviated(const _CharT** __months) const
      {
 __months[0] = _M_data->_M_amonth01;
 __months[1] = _M_data->_M_amonth02;
 __months[2] = _M_data->_M_amonth03;
 __months[3] = _M_data->_M_amonth04;
 __months[4] = _M_data->_M_amonth05;
 __months[5] = _M_data->_M_amonth06;
 __months[6] = _M_data->_M_amonth07;
 __months[7] = _M_data->_M_amonth08;
 __months[8] = _M_data->_M_amonth09;
 __months[9] = _M_data->_M_amonth10;
 __months[10] = _M_data->_M_amonth11;
 __months[11] = _M_data->_M_amonth12;
      }

    protected:
      virtual
      ~__timepunct();


      void
      _M_initialize_timepunct(__c_locale __cloc = 0);
    };

  template<typename _CharT>
    locale::id __timepunct<_CharT>::id;


  template<>
    void
    __timepunct<char>::_M_initialize_timepunct(__c_locale __cloc);

  template<>
    void
    __timepunct<char>::_M_put(char*, size_t, const char*, const tm*) const throw ();


  template<>
    void
    __timepunct<wchar_t>::_M_initialize_timepunct(__c_locale __cloc);

  template<>
    void
    __timepunct<wchar_t>::_M_put(wchar_t*, size_t, const wchar_t*,
     const tm*) const throw ();



}


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/time_members.h" 1 3
# 37 "/usr/include/aarch64-linux-gnu/c++/13/bits/time_members.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _CharT>
    __timepunct<_CharT>::__timepunct(size_t __refs)
    : facet(__refs), _M_data(0), _M_c_locale_timepunct(0),
      _M_name_timepunct(_S_get_c_name())
    { _M_initialize_timepunct(); }

  template<typename _CharT>
    __timepunct<_CharT>::__timepunct(__cache_type* __cache, size_t __refs)
    : facet(__refs), _M_data(__cache), _M_c_locale_timepunct(0),
      _M_name_timepunct(_S_get_c_name())
    { _M_initialize_timepunct(); }

  template<typename _CharT>
    __timepunct<_CharT>::__timepunct(__c_locale __cloc, const char* __s,
         size_t __refs)
    : facet(__refs), _M_data(0), _M_c_locale_timepunct(0),
      _M_name_timepunct(0)
    {
      if (__builtin_strcmp(__s, _S_get_c_name()) != 0)
 {
   const size_t __len = __builtin_strlen(__s) + 1;
   char* __tmp = new char[__len];
   __builtin_memcpy(__tmp, __s, __len);
   _M_name_timepunct = __tmp;
 }
      else
 _M_name_timepunct = _S_get_c_name();

      try
 { _M_initialize_timepunct(__cloc); }
      catch(...)
 {
   if (_M_name_timepunct != _S_get_c_name())
     delete [] _M_name_timepunct;
   throw;
 }
    }

  template<typename _CharT>
    __timepunct<_CharT>::~__timepunct()
    {
      if (_M_name_timepunct != _S_get_c_name())
 delete [] _M_name_timepunct;
      delete _M_data;
      _S_destroy_c_locale(_M_c_locale_timepunct);
    }


}
# 353 "/usr/include/c++/13/bits/locale_facets_nonio.h" 2 3

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


  struct __time_get_state
  {

    void
    _M_finalize_state(tm* __tm);

    unsigned int _M_have_I : 1;
    unsigned int _M_have_wday : 1;
    unsigned int _M_have_yday : 1;
    unsigned int _M_have_mon : 1;
    unsigned int _M_have_mday : 1;
    unsigned int _M_have_uweek : 1;
    unsigned int _M_have_wweek : 1;
    unsigned int _M_have_century : 1;
    unsigned int _M_is_pm : 1;
    unsigned int _M_want_century : 1;
    unsigned int _M_want_xday : 1;
    unsigned int _M_pad1 : 5;
    unsigned int _M_week_no : 6;
    unsigned int _M_pad2 : 10;
    int _M_century;
    int _M_pad3;
  };

namespace __cxx11 {
# 397 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT, typename _InIter>
    class time_get : public locale::facet, public time_base
    {
    public:



      typedef _CharT char_type;
      typedef _InIter iter_type;



      static locale::id id;
# 418 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      time_get(size_t __refs = 0)
      : facet (__refs) { }
# 435 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      dateorder
      date_order() const
      { return this->do_date_order(); }
# 459 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get_time(iter_type __beg, iter_type __end, ios_base& __io,
        ios_base::iostate& __err, tm* __tm) const
      { return this->do_get_time(__beg, __end, __io, __err, __tm); }
# 484 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get_date(iter_type __beg, iter_type __end, ios_base& __io,
        ios_base::iostate& __err, tm* __tm) const
      { return this->do_get_date(__beg, __end, __io, __err, __tm); }
# 512 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get_weekday(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, tm* __tm) const
      { return this->do_get_weekday(__beg, __end, __io, __err, __tm); }
# 541 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get_monthname(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, tm* __tm) const
      { return this->do_get_monthname(__beg, __end, __io, __err, __tm); }
# 567 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get_year(iter_type __beg, iter_type __end, ios_base& __io,
        ios_base::iostate& __err, tm* __tm) const
      { return this->do_get_year(__beg, __end, __io, __err, __tm); }
# 588 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      inline
      iter_type get(iter_type __s, iter_type __end, ios_base& __io,
                    ios_base::iostate& __err, tm* __tm, char __format,
                    char __modifier = 0) const
      {
        return this->do_get(__s, __end, __io, __err, __tm, __format,
                            __modifier);
      }
# 615 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type get(iter_type __s, iter_type __end, ios_base& __io,
                    ios_base::iostate& __err, tm* __tm, const char_type* __fmt,
                    const char_type* __fmtend) const;


    protected:

      virtual
      ~time_get() { }
# 635 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual dateorder
      do_date_order() const;
# 653 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get_time(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, tm* __tm) const;
# 672 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get_date(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, tm* __tm) const;
# 691 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get_weekday(iter_type __beg, iter_type __end, ios_base&,
       ios_base::iostate& __err, tm* __tm) const;
# 710 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get_monthname(iter_type __beg, iter_type __end, ios_base&,
         ios_base::iostate& __err, tm* __tm) const;
# 729 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get_year(iter_type __beg, iter_type __end, ios_base& __io,
    ios_base::iostate& __err, tm* __tm) const;
# 752 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual

      iter_type
      do_get(iter_type __s, iter_type __end, ios_base& __f,
             ios_base::iostate& __err, tm* __tm,
             char __format, char __modifier) const;



      iter_type
      _M_extract_num(iter_type __beg, iter_type __end, int& __member,
       int __min, int __max, size_t __len,
       ios_base& __io, ios_base::iostate& __err) const;


      iter_type
      _M_extract_name(iter_type __beg, iter_type __end, int& __member,
        const _CharT** __names, size_t __indexlen,
        ios_base& __io, ios_base::iostate& __err) const;


      iter_type
      _M_extract_wday_or_month(iter_type __beg, iter_type __end, int& __member,
          const _CharT** __names, size_t __indexlen,
          ios_base& __io, ios_base::iostate& __err) const;


      iter_type
      _M_extract_via_format(iter_type __beg, iter_type __end, ios_base& __io,
       ios_base::iostate& __err, tm* __tm,
       const _CharT* __format) const;



      iter_type
      _M_extract_via_format(iter_type __beg, iter_type __end, ios_base& __io,
       ios_base::iostate& __err, tm* __tm,
       const _CharT* __format,
       __time_get_state &__state) const;
    };

  template<typename _CharT, typename _InIter>
    locale::id time_get<_CharT, _InIter>::id;


  template<typename _CharT, typename _InIter>
    class time_get_byname : public time_get<_CharT, _InIter>
    {
    public:

      typedef _CharT char_type;
      typedef _InIter iter_type;

      explicit
      time_get_byname(const char*, size_t __refs = 0)
      : time_get<_CharT, _InIter>(__refs) { }


      explicit
      time_get_byname(const string& __s, size_t __refs = 0)
      : time_get_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~time_get_byname() { }
    };

}
# 834 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT, typename _OutIter>
    class time_put : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _OutIter iter_type;



      static locale::id id;
# 855 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      time_put(size_t __refs = 0)
      : facet(__refs) { }
# 874 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill, const tm* __tm,
   const _CharT* __beg, const _CharT* __end) const;
# 894 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      put(iter_type __s, ios_base& __io, char_type __fill,
   const tm* __tm, char __format, char __mod = 0) const
      { return this->do_put(__s, __io, __fill, __tm, __format, __mod); }

    protected:

      virtual
      ~time_put()
      { }
# 921 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, const tm* __tm,
      char __format, char __mod) const;
    };

  template<typename _CharT, typename _OutIter>
    locale::id time_put<_CharT, _OutIter>::id;


  template<typename _CharT, typename _OutIter>
    class time_put_byname : public time_put<_CharT, _OutIter>
    {
    public:

      typedef _CharT char_type;
      typedef _OutIter iter_type;

      explicit
      time_put_byname(const char*, size_t __refs = 0)
      : time_put<_CharT, _OutIter>(__refs)
      { }


      explicit
      time_put_byname(const string& __s, size_t __refs = 0)
      : time_put_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~time_put_byname() { }
    };
# 966 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  class money_base
  {
  public:
    enum part { none, space, symbol, sign, value };
    struct pattern { char field[4]; };

    static const pattern _S_default_pattern;

    enum
    {
      _S_minus,
      _S_zero,
      _S_end = 11
    };



    static const char* _S_atoms;



    __attribute__ ((__const__)) static pattern
    _S_construct_pattern(char __precedes, char __space, char __posn) throw ();
  };

  template<typename _CharT, bool _Intl>
    struct __moneypunct_cache : public locale::facet
    {
      const char* _M_grouping;
      size_t _M_grouping_size;
      bool _M_use_grouping;
      _CharT _M_decimal_point;
      _CharT _M_thousands_sep;
      const _CharT* _M_curr_symbol;
      size_t _M_curr_symbol_size;
      const _CharT* _M_positive_sign;
      size_t _M_positive_sign_size;
      const _CharT* _M_negative_sign;
      size_t _M_negative_sign_size;
      int _M_frac_digits;
      money_base::pattern _M_pos_format;
      money_base::pattern _M_neg_format;




      _CharT _M_atoms[money_base::_S_end];

      bool _M_allocated;

      __moneypunct_cache(size_t __refs = 0) : facet(__refs),
      _M_grouping(0), _M_grouping_size(0), _M_use_grouping(false),
      _M_decimal_point(_CharT()), _M_thousands_sep(_CharT()),
      _M_curr_symbol(0), _M_curr_symbol_size(0),
      _M_positive_sign(0), _M_positive_sign_size(0),
      _M_negative_sign(0), _M_negative_sign_size(0),
      _M_frac_digits(0),
      _M_pos_format(money_base::pattern()),
      _M_neg_format(money_base::pattern()), _M_allocated(false)
      { }

      ~__moneypunct_cache();

      void
      _M_cache(const locale& __loc);

    private:
      __moneypunct_cache&
      operator=(const __moneypunct_cache&);

      explicit
      __moneypunct_cache(const __moneypunct_cache&);
    };

  template<typename _CharT, bool _Intl>
    __moneypunct_cache<_CharT, _Intl>::~__moneypunct_cache()
    {
      if (_M_allocated)
 {
   delete [] _M_grouping;
   delete [] _M_curr_symbol;
   delete [] _M_positive_sign;
   delete [] _M_negative_sign;
 }
    }

namespace __cxx11 {
# 1061 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT, bool _Intl>
    class moneypunct : public locale::facet, public money_base
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      typedef __moneypunct_cache<_CharT, _Intl> __cache_type;

    private:
      __cache_type* _M_data;

    public:


      static const bool intl = _Intl;

      static locale::id id;
# 1090 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      moneypunct(size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_moneypunct(); }
# 1103 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      moneypunct(__cache_type* __cache, size_t __refs = 0)
      : facet(__refs), _M_data(__cache)
      { _M_initialize_moneypunct(); }
# 1118 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      moneypunct(__c_locale __cloc, const char* __s, size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_moneypunct(__cloc, __s); }
# 1132 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      char_type
      decimal_point() const
      { return this->do_decimal_point(); }
# 1145 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      char_type
      thousands_sep() const
      { return this->do_thousands_sep(); }
# 1175 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      string
      grouping() const
      { return this->do_grouping(); }
# 1188 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      string_type
      curr_symbol() const
      { return this->do_curr_symbol(); }
# 1205 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      string_type
      positive_sign() const
      { return this->do_positive_sign(); }
# 1222 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      string_type
      negative_sign() const
      { return this->do_negative_sign(); }
# 1238 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      int
      frac_digits() const
      { return this->do_frac_digits(); }
# 1274 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      pattern
      pos_format() const
      { return this->do_pos_format(); }

      pattern
      neg_format() const
      { return this->do_neg_format(); }


    protected:

      virtual
      ~moneypunct();
# 1296 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual char_type
      do_decimal_point() const
      { return _M_data->_M_decimal_point; }
# 1308 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual char_type
      do_thousands_sep() const
      { return _M_data->_M_thousands_sep; }
# 1321 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual string
      do_grouping() const
      { return _M_data->_M_grouping; }
# 1334 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual string_type
      do_curr_symbol() const
      { return _M_data->_M_curr_symbol; }
# 1347 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual string_type
      do_positive_sign() const
      { return _M_data->_M_positive_sign; }
# 1360 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual string_type
      do_negative_sign() const
      { return _M_data->_M_negative_sign; }
# 1374 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual int
      do_frac_digits() const
      { return _M_data->_M_frac_digits; }
# 1388 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual pattern
      do_pos_format() const
      { return _M_data->_M_pos_format; }
# 1402 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual pattern
      do_neg_format() const
      { return _M_data->_M_neg_format; }


       void
       _M_initialize_moneypunct(__c_locale __cloc = 0,
    const char* __name = 0);
    };

  template<typename _CharT, bool _Intl>
    locale::id moneypunct<_CharT, _Intl>::id;

  template<typename _CharT, bool _Intl>
    const bool moneypunct<_CharT, _Intl>::intl;

  template<>
    moneypunct<char, true>::~moneypunct();

  template<>
    moneypunct<char, false>::~moneypunct();

  template<>
    void
    moneypunct<char, true>::_M_initialize_moneypunct(__c_locale, const char*);

  template<>
    void
    moneypunct<char, false>::_M_initialize_moneypunct(__c_locale, const char*);


  template<>
    moneypunct<wchar_t, true>::~moneypunct();

  template<>
    moneypunct<wchar_t, false>::~moneypunct();

  template<>
    void
    moneypunct<wchar_t, true>::_M_initialize_moneypunct(__c_locale,
       const char*);

  template<>
    void
    moneypunct<wchar_t, false>::_M_initialize_moneypunct(__c_locale,
        const char*);



  template<typename _CharT, bool _Intl>
    class moneypunct_byname : public moneypunct<_CharT, _Intl>
    {
    public:
      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      static const bool intl = _Intl;

      explicit
      moneypunct_byname(const char* __s, size_t __refs = 0)
      : moneypunct<_CharT, _Intl>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     __c_locale __tmp;
     this->_S_create_c_locale(__tmp, __s);
     this->_M_initialize_moneypunct(__tmp);
     this->_S_destroy_c_locale(__tmp);
   }
      }


      explicit
      moneypunct_byname(const string& __s, size_t __refs = 0)
      : moneypunct_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~moneypunct_byname() { }
    };

  template<typename _CharT, bool _Intl>
    const bool moneypunct_byname<_CharT, _Intl>::intl;

}

namespace __cxx11 {
# 1505 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT, typename _InIter>
    class money_get : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef _InIter iter_type;
      typedef basic_string<_CharT> string_type;



      static locale::id id;
# 1527 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      money_get(size_t __refs = 0) : facet(__refs) { }
# 1557 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get(iter_type __s, iter_type __end, bool __intl, ios_base& __io,
   ios_base::iostate& __err, long double& __units) const
      { return this->do_get(__s, __end, __intl, __io, __err, __units); }
# 1588 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      get(iter_type __s, iter_type __end, bool __intl, ios_base& __io,
   ios_base::iostate& __err, string_type& __digits) const
      { return this->do_get(__s, __end, __intl, __io, __err, __digits); }

    protected:

      virtual
      ~money_get() { }
# 1612 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get(iter_type __s, iter_type __end, bool __intl, ios_base& __io,
      ios_base::iostate& __err, long double& __units) const;
# 1624 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_get(iter_type __s, iter_type __end, bool __intl, ios_base& __io,
      ios_base::iostate& __err, string_type& __digits) const;
# 1644 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      template<bool _Intl>
        iter_type
        _M_extract(iter_type __s, iter_type __end, ios_base& __io,
     ios_base::iostate& __err, string& __digits) const;
    };

  template<typename _CharT, typename _InIter>
    locale::id money_get<_CharT, _InIter>::id;
# 1666 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT, typename _OutIter>
    class money_put : public locale::facet
    {
    public:


      typedef _CharT char_type;
      typedef _OutIter iter_type;
      typedef basic_string<_CharT> string_type;



      static locale::id id;
# 1687 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      money_put(size_t __refs = 0) : facet(__refs) { }
# 1707 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      put(iter_type __s, bool __intl, ios_base& __io,
   char_type __fill, long double __units) const
      { return this->do_put(__s, __intl, __io, __fill, __units); }
# 1730 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      iter_type
      put(iter_type __s, bool __intl, ios_base& __io,
   char_type __fill, const string_type& __digits) const
      { return this->do_put(__s, __intl, __io, __fill, __digits); }

    protected:

      virtual
      ~money_put() { }
# 1765 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_put(iter_type __s, bool __intl, ios_base& __io, char_type __fill,
      long double __units) const;
# 1789 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual iter_type
      do_put(iter_type __s, bool __intl, ios_base& __io, char_type __fill,
      const string_type& __digits) const;
# 1809 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      template<bool _Intl>
        iter_type
        _M_insert(iter_type __s, ios_base& __io, char_type __fill,
    const string_type& __digits) const;
    };

  template<typename _CharT, typename _OutIter>
    locale::id money_put<_CharT, _OutIter>::id;

}





  struct messages_base
  {
    typedef int catalog;
  };

namespace __cxx11 {
# 1852 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
  template<typename _CharT>
    class messages : public locale::facet, public messages_base
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


    protected:


      __c_locale _M_c_locale_messages;
      const char* _M_name_messages;

    public:

      static locale::id id;
# 1880 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      messages(size_t __refs = 0);
# 1894 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      explicit
      messages(__c_locale __cloc, const char* __s, size_t __refs = 0);
# 1907 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      catalog
      open(const basic_string<char>& __s, const locale& __loc) const
      { return this->do_open(__s, __loc); }
# 1925 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      catalog
      open(const basic_string<char>&, const locale&, const char*) const;
# 1943 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      string_type
      get(catalog __c, int __set, int __msgid, const string_type& __s) const
      { return this->do_get(__c, __set, __msgid, __s); }
# 1954 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      void
      close(catalog __c) const
      { return this->do_close(__c); }

    protected:

      virtual
      ~messages();
# 1974 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual catalog
      do_open(const basic_string<char>&, const locale&) const;
# 1993 "/usr/include/c++/13/bits/locale_facets_nonio.h" 3
      virtual string_type
      do_get(catalog, int, int, const string_type& __dfault) const;






      virtual void
      do_close(catalog) const;


      char*
      _M_convert_to_char(const string_type& __msg) const
      {

 return reinterpret_cast<char*>(const_cast<_CharT*>(__msg.c_str()));
      }


      string_type
      _M_convert_from_char(char*) const
      {

 return string_type();
      }
     };

  template<typename _CharT>
    locale::id messages<_CharT>::id;


  template<>
    string
    messages<char>::do_get(catalog, int, int, const string&) const;


  template<>
    wstring
    messages<wchar_t>::do_get(catalog, int, int, const wstring&) const;



   template<typename _CharT>
    class messages_byname : public messages<_CharT>
    {
    public:
      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;

      explicit
      messages_byname(const char* __s, size_t __refs = 0);


      explicit
      messages_byname(const string& __s, size_t __refs = 0)
      : messages_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~messages_byname()
      { }
    };

}


}


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/messages_members.h" 1 3
# 36 "/usr/include/aarch64-linux-gnu/c++/13/bits/messages_members.h" 3
# 1 "/usr/include/libintl.h" 1 3 4
# 34 "/usr/include/libintl.h" 3 4
extern "C" {




extern char *gettext (const char *__msgid)
     noexcept (true) __attribute__ ((__format_arg__ (1)));



extern char *dgettext (const char *__domainname, const char *__msgid)
     noexcept (true) __attribute__ ((__format_arg__ (2)));
extern char *__dgettext (const char *__domainname, const char *__msgid)
     noexcept (true) __attribute__ ((__format_arg__ (2)));



extern char *dcgettext (const char *__domainname,
   const char *__msgid, int __category)
     noexcept (true) __attribute__ ((__format_arg__ (2)));
extern char *__dcgettext (const char *__domainname,
     const char *__msgid, int __category)
     noexcept (true) __attribute__ ((__format_arg__ (2)));




extern char *ngettext (const char *__msgid1, const char *__msgid2,
         unsigned long int __n)
     noexcept (true) __attribute__ ((__format_arg__ (1))) __attribute__ ((__format_arg__ (2)));



extern char *dngettext (const char *__domainname, const char *__msgid1,
   const char *__msgid2, unsigned long int __n)
     noexcept (true) __attribute__ ((__format_arg__ (2))) __attribute__ ((__format_arg__ (3)));



extern char *dcngettext (const char *__domainname, const char *__msgid1,
    const char *__msgid2, unsigned long int __n,
    int __category)
     noexcept (true) __attribute__ ((__format_arg__ (2))) __attribute__ ((__format_arg__ (3)));





extern char *textdomain (const char *__domainname) noexcept (true);



extern char *bindtextdomain (const char *__domainname,
        const char *__dirname) noexcept (true);



extern char *bind_textdomain_codeset (const char *__domainname,
          const char *__codeset) noexcept (true);
# 121 "/usr/include/libintl.h" 3 4
}
# 37 "/usr/include/aarch64-linux-gnu/c++/13/bits/messages_members.h" 2 3

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



  template<typename _CharT>
    messages<_CharT>::messages(size_t __refs)
    : facet(__refs), _M_c_locale_messages(_S_get_c_locale()),
      _M_name_messages(_S_get_c_name())
    { }

  template<typename _CharT>
    messages<_CharT>::messages(__c_locale __cloc, const char* __s,
          size_t __refs)
    : facet(__refs), _M_c_locale_messages(0), _M_name_messages(0)
    {
      if (__builtin_strcmp(__s, _S_get_c_name()) != 0)
 {
   const size_t __len = __builtin_strlen(__s) + 1;
   char* __tmp = new char[__len];
   __builtin_memcpy(__tmp, __s, __len);
   _M_name_messages = __tmp;
 }
      else
 _M_name_messages = _S_get_c_name();


      _M_c_locale_messages = _S_clone_c_locale(__cloc);
    }

  template<typename _CharT>
    typename messages<_CharT>::catalog
    messages<_CharT>::open(const basic_string<char>& __s, const locale& __loc,
      const char* __dir) const
    {
      bindtextdomain(__s.c_str(), __dir);
      return this->do_open(__s, __loc);
    }


  template<typename _CharT>
    messages<_CharT>::~messages()
    {
      if (_M_name_messages != _S_get_c_name())
 delete [] _M_name_messages;
      _S_destroy_c_locale(_M_c_locale_messages);
    }

  template<typename _CharT>
    typename messages<_CharT>::catalog
    messages<_CharT>::do_open(const basic_string<char>& __s,
         const locale&) const
    {


      textdomain(__s.c_str());
      return 0;
    }

  template<typename _CharT>
    void
    messages<_CharT>::do_close(catalog) const
    { }


  template<typename _CharT>
    messages_byname<_CharT>::messages_byname(const char* __s, size_t __refs)
    : messages<_CharT>(__refs)
    {
      if (this->_M_name_messages != locale::facet::_S_get_c_name())
 {
   delete [] this->_M_name_messages;
   if (__builtin_strcmp(__s, locale::facet::_S_get_c_name()) != 0)
     {
       const size_t __len = __builtin_strlen(__s) + 1;
       char* __tmp = new char[__len];
       __builtin_memcpy(__tmp, __s, __len);
       this->_M_name_messages = __tmp;
     }
   else
     this->_M_name_messages = locale::facet::_S_get_c_name();
 }

      if (__builtin_strcmp(__s, "C") != 0
   && __builtin_strcmp(__s, "POSIX") != 0)
 {
   this->_S_destroy_c_locale(this->_M_c_locale_messages);
   this->_S_create_c_locale(this->_M_c_locale_messages, __s);
 }
    }


  template<>
    typename messages<char>::catalog
    messages<char>::do_open(const basic_string<char>&,
       const locale&) const;

  template<>
    void
    messages<char>::do_close(catalog) const;


  template<>
    typename messages<wchar_t>::catalog
    messages<wchar_t>::do_open(const basic_string<char>&,
          const locale&) const;

  template<>
    void
    messages<wchar_t>::do_close(catalog) const;



}
# 2065 "/usr/include/c++/13/bits/locale_facets_nonio.h" 2 3


# 1 "/usr/include/c++/13/bits/codecvt.h" 1 3
# 39 "/usr/include/c++/13/bits/codecvt.h" 3
       
# 40 "/usr/include/c++/13/bits/codecvt.h" 3




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



  class codecvt_base
  {
  public:
    enum result
    {
      ok,
      partial,
      error,
      noconv
    };
  };
# 70 "/usr/include/c++/13/bits/codecvt.h" 3
  template<typename _InternT, typename _ExternT, typename _StateT>
    class __codecvt_abstract_base
    : public locale::facet, public codecvt_base
    {
    public:

      typedef codecvt_base::result result;
      typedef _InternT intern_type;
      typedef _ExternT extern_type;
      typedef _StateT state_type;
# 118 "/usr/include/c++/13/bits/codecvt.h" 3
      result
      out(state_type& __state, const intern_type* __from,
   const intern_type* __from_end, const intern_type*& __from_next,
   extern_type* __to, extern_type* __to_end,
   extern_type*& __to_next) const
      {
 return this->do_out(__state, __from, __from_end, __from_next,
       __to, __to_end, __to_next);
      }
# 157 "/usr/include/c++/13/bits/codecvt.h" 3
      result
      unshift(state_type& __state, extern_type* __to, extern_type* __to_end,
       extern_type*& __to_next) const
      { return this->do_unshift(__state, __to,__to_end,__to_next); }
# 198 "/usr/include/c++/13/bits/codecvt.h" 3
      result
      in(state_type& __state, const extern_type* __from,
  const extern_type* __from_end, const extern_type*& __from_next,
  intern_type* __to, intern_type* __to_end,
  intern_type*& __to_next) const
      {
 return this->do_in(__state, __from, __from_end, __from_next,
      __to, __to_end, __to_next);
      }

      int
      encoding() const throw()
      { return this->do_encoding(); }

      bool
      always_noconv() const throw()
      { return this->do_always_noconv(); }

      int
      length(state_type& __state, const extern_type* __from,
      const extern_type* __end, size_t __max) const
      { return this->do_length(__state, __from, __end, __max); }

      int
      max_length() const throw()
      { return this->do_max_length(); }

    protected:
      explicit
      __codecvt_abstract_base(size_t __refs = 0) : locale::facet(__refs) { }

      virtual
      ~__codecvt_abstract_base() { }
# 239 "/usr/include/c++/13/bits/codecvt.h" 3
      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const = 0;

      virtual result
      do_unshift(state_type& __state, extern_type* __to,
   extern_type* __to_end, extern_type*& __to_next) const = 0;

      virtual result
      do_in(state_type& __state, const extern_type* __from,
     const extern_type* __from_end, const extern_type*& __from_next,
     intern_type* __to, intern_type* __to_end,
     intern_type*& __to_next) const = 0;

      virtual int
      do_encoding() const throw() = 0;

      virtual bool
      do_always_noconv() const throw() = 0;

      virtual int
      do_length(state_type&, const extern_type* __from,
  const extern_type* __end, size_t __max) const = 0;

      virtual int
      do_max_length() const throw() = 0;
    };
# 276 "/usr/include/c++/13/bits/codecvt.h" 3
   template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt
    : public __codecvt_abstract_base<_InternT, _ExternT, _StateT>
    {
    public:

      typedef codecvt_base::result result;
      typedef _InternT intern_type;
      typedef _ExternT extern_type;
      typedef _StateT state_type;

    protected:
      __c_locale _M_c_locale_codecvt;

    public:
      static locale::id id;

      explicit
      codecvt(size_t __refs = 0)
      : __codecvt_abstract_base<_InternT, _ExternT, _StateT> (__refs),
 _M_c_locale_codecvt(0)
      { }

      explicit
      codecvt(__c_locale __cloc, size_t __refs = 0);

    protected:
      virtual
      ~codecvt() { }

      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const;

      virtual result
      do_unshift(state_type& __state, extern_type* __to,
   extern_type* __to_end, extern_type*& __to_next) const;

      virtual result
      do_in(state_type& __state, const extern_type* __from,
     const extern_type* __from_end, const extern_type*& __from_next,
     intern_type* __to, intern_type* __to_end,
     intern_type*& __to_next) const;

      virtual int
      do_encoding() const throw();

      virtual bool
      do_always_noconv() const throw();

      virtual int
      do_length(state_type&, const extern_type* __from,
  const extern_type* __end, size_t __max) const;

      virtual int
      do_max_length() const throw();
    };

  template<typename _InternT, typename _ExternT, typename _StateT>
    locale::id codecvt<_InternT, _ExternT, _StateT>::id;


  template<>
    class codecvt<char, char, mbstate_t>
    : public __codecvt_abstract_base<char, char, mbstate_t>
    {
      friend class messages<char>;

    public:

      typedef char intern_type;
      typedef char extern_type;
      typedef mbstate_t state_type;

    protected:
      __c_locale _M_c_locale_codecvt;

    public:
      static locale::id id;

      explicit
      codecvt(size_t __refs = 0);

      explicit
      codecvt(__c_locale __cloc, size_t __refs = 0);

    protected:
      virtual
      ~codecvt();

      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const;

      virtual result
      do_unshift(state_type& __state, extern_type* __to,
   extern_type* __to_end, extern_type*& __to_next) const;

      virtual result
      do_in(state_type& __state, const extern_type* __from,
     const extern_type* __from_end, const extern_type*& __from_next,
     intern_type* __to, intern_type* __to_end,
     intern_type*& __to_next) const;

      virtual int
      do_encoding() const throw();

      virtual bool
      do_always_noconv() const throw();

      virtual int
      do_length(state_type&, const extern_type* __from,
  const extern_type* __end, size_t __max) const;

      virtual int
      do_max_length() const throw();
  };






  template<>
    class codecvt<wchar_t, char, mbstate_t>
    : public __codecvt_abstract_base<wchar_t, char, mbstate_t>
    {
      friend class messages<wchar_t>;

    public:

      typedef wchar_t intern_type;
      typedef char extern_type;
      typedef mbstate_t state_type;

    protected:
      __c_locale _M_c_locale_codecvt;

    public:
      static locale::id id;

      explicit
      codecvt(size_t __refs = 0);

      explicit
      codecvt(__c_locale __cloc, size_t __refs = 0);

    protected:
      virtual
      ~codecvt();

      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const;

      virtual result
      do_unshift(state_type& __state,
   extern_type* __to, extern_type* __to_end,
   extern_type*& __to_next) const;

      virtual result
      do_in(state_type& __state,
      const extern_type* __from, const extern_type* __from_end,
      const extern_type*& __from_next,
      intern_type* __to, intern_type* __to_end,
      intern_type*& __to_next) const;

      virtual
      int do_encoding() const throw();

      virtual
      bool do_always_noconv() const throw();

      virtual
      int do_length(state_type&, const extern_type* __from,
      const extern_type* __end, size_t __max) const;

      virtual int
      do_max_length() const throw();
    };







  template<>
    class codecvt<char16_t, char, mbstate_t>
    : public __codecvt_abstract_base<char16_t, char, mbstate_t>
    {
    public:

      typedef char16_t intern_type;
      typedef char extern_type;
      typedef mbstate_t state_type;

    public:
      static locale::id id;

      explicit
      codecvt(size_t __refs = 0)
      : __codecvt_abstract_base<char16_t, char, mbstate_t>(__refs) { }

    protected:
      virtual
      ~codecvt();

      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const;

      virtual result
      do_unshift(state_type& __state,
   extern_type* __to, extern_type* __to_end,
   extern_type*& __to_next) const;

      virtual result
      do_in(state_type& __state,
      const extern_type* __from, const extern_type* __from_end,
      const extern_type*& __from_next,
      intern_type* __to, intern_type* __to_end,
      intern_type*& __to_next) const;

      virtual
      int do_encoding() const throw();

      virtual
      bool do_always_noconv() const throw();

      virtual
      int do_length(state_type&, const extern_type* __from,
      const extern_type* __end, size_t __max) const;

      virtual int
      do_max_length() const throw();
    };





  template<>
    class codecvt<char32_t, char, mbstate_t>
    : public __codecvt_abstract_base<char32_t, char, mbstate_t>
    {
    public:

      typedef char32_t intern_type;
      typedef char extern_type;
      typedef mbstate_t state_type;

    public:
      static locale::id id;

      explicit
      codecvt(size_t __refs = 0)
      : __codecvt_abstract_base<char32_t, char, mbstate_t>(__refs) { }

    protected:
      virtual
      ~codecvt();

      virtual result
      do_out(state_type& __state, const intern_type* __from,
      const intern_type* __from_end, const intern_type*& __from_next,
      extern_type* __to, extern_type* __to_end,
      extern_type*& __to_next) const;

      virtual result
      do_unshift(state_type& __state,
   extern_type* __to, extern_type* __to_end,
   extern_type*& __to_next) const;

      virtual result
      do_in(state_type& __state,
      const extern_type* __from, const extern_type* __from_end,
      const extern_type*& __from_next,
      intern_type* __to, intern_type* __to_end,
      intern_type*& __to_next) const;

      virtual
      int do_encoding() const throw();

      virtual
      bool do_always_noconv() const throw();

      virtual
      int do_length(state_type&, const extern_type* __from,
      const extern_type* __end, size_t __max) const;

      virtual int
      do_max_length() const throw();
    };
# 698 "/usr/include/c++/13/bits/codecvt.h" 3
  template<typename _InternT, typename _ExternT, typename _StateT>
    class codecvt_byname : public codecvt<_InternT, _ExternT, _StateT>
    {
    public:
      explicit
      codecvt_byname(const char* __s, size_t __refs = 0)
      : codecvt<_InternT, _ExternT, _StateT>(__refs)
      {
 if (__builtin_strcmp(__s, "C") != 0
     && __builtin_strcmp(__s, "POSIX") != 0)
   {
     this->_S_destroy_c_locale(this->_M_c_locale_codecvt);
     this->_S_create_c_locale(this->_M_c_locale_codecvt, __s);
   }
      }


      explicit
      codecvt_byname(const string& __s, size_t __refs = 0)
      : codecvt_byname(__s.c_str(), __refs) { }


    protected:
      virtual
      ~codecvt_byname() { }
    };


  template<>
    class codecvt_byname<char16_t, char, mbstate_t>
    : public codecvt<char16_t, char, mbstate_t>
    {
    public:
      explicit
      codecvt_byname(const char*, size_t __refs = 0)
      : codecvt<char16_t, char, mbstate_t>(__refs) { }

      explicit
      codecvt_byname(const string& __s, size_t __refs = 0)
      : codecvt_byname(__s.c_str(), __refs) { }

    protected:
      virtual
      ~codecvt_byname() { }
    };

  template<>
    class codecvt_byname<char32_t, char, mbstate_t>
    : public codecvt<char32_t, char, mbstate_t>
    {
    public:
      explicit
      codecvt_byname(const char*, size_t __refs = 0)
      : codecvt<char32_t, char, mbstate_t>(__refs) { }

      explicit
      codecvt_byname(const string& __s, size_t __refs = 0)
      : codecvt_byname(__s.c_str(), __refs) { }

    protected:
      virtual
      ~codecvt_byname() { }
    };
# 805 "/usr/include/c++/13/bits/codecvt.h" 3
  extern template class codecvt_byname<char, char, mbstate_t>;

  extern template
    const codecvt<char, char, mbstate_t>&
    use_facet<codecvt<char, char, mbstate_t> >(const locale&);

  extern template
    bool
    has_facet<codecvt<char, char, mbstate_t> >(const locale&);


  extern template class codecvt_byname<wchar_t, char, mbstate_t>;

  extern template
    const codecvt<wchar_t, char, mbstate_t>&
    use_facet<codecvt<wchar_t, char, mbstate_t> >(const locale&);

  extern template
    bool
    has_facet<codecvt<wchar_t, char, mbstate_t> >(const locale&);



  extern template class codecvt_byname<char16_t, char, mbstate_t>;
  extern template class codecvt_byname<char32_t, char, mbstate_t>;
# 840 "/usr/include/c++/13/bits/codecvt.h" 3

}
# 2068 "/usr/include/c++/13/bits/locale_facets_nonio.h" 2 3

# 1 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 1 3
# 33 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
       
# 34 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3

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


  template<typename _CharT, bool _Intl>
    struct __use_cache<__moneypunct_cache<_CharT, _Intl> >
    {
      const __moneypunct_cache<_CharT, _Intl>*
      operator() (const locale& __loc) const
      {
 const size_t __i = moneypunct<_CharT, _Intl>::id._M_id();
 const locale::facet** __caches = __loc._M_impl->_M_caches;
 if (!__caches[__i])
   {
     __moneypunct_cache<_CharT, _Intl>* __tmp = 0;
     try
       {
  __tmp = new __moneypunct_cache<_CharT, _Intl>;
  __tmp->_M_cache(__loc);
       }
     catch(...)
       {
  delete __tmp;
  throw;
       }
     __loc._M_impl->_M_install_cache(__tmp, __i);
   }
 return static_cast<
   const __moneypunct_cache<_CharT, _Intl>*>(__caches[__i]);
      }
    };

  template<typename _CharT, bool _Intl>
    void
    __moneypunct_cache<_CharT, _Intl>::_M_cache(const locale& __loc)
    {
      const moneypunct<_CharT, _Intl>& __mp =
 use_facet<moneypunct<_CharT, _Intl> >(__loc);

      struct _Scoped_str
      {
 size_t _M_len;
 _CharT* _M_str;

 explicit
 _Scoped_str(const basic_string<_CharT>& __str)
 : _M_len(__str.size()), _M_str(new _CharT[_M_len])
 { __str.copy(_M_str, _M_len); }

 ~_Scoped_str() { delete[] _M_str; }

 void
 _M_release(const _CharT*& __p, size_t& __n)
 {
   __p = _M_str;
   __n = _M_len;
   _M_str = 0;
 }
      };

      _Scoped_str __curr_symbol(__mp.curr_symbol());
      _Scoped_str __positive_sign(__mp.positive_sign());
      _Scoped_str __negative_sign(__mp.negative_sign());

      const string& __g = __mp.grouping();
      const size_t __g_size = __g.size();
      char* const __grouping = new char[__g_size];
      __g.copy(__grouping, __g_size);



      _M_grouping = __grouping;
      _M_grouping_size = __g_size;
      _M_use_grouping = (__g_size
    && static_cast<signed char>(__grouping[0]) > 0
    && (__grouping[0]
        != __gnu_cxx::__numeric_traits<char>::__max));

      _M_decimal_point = __mp.decimal_point();
      _M_thousands_sep = __mp.thousands_sep();

      __curr_symbol._M_release(_M_curr_symbol, _M_curr_symbol_size);
      __positive_sign._M_release(_M_positive_sign, _M_positive_sign_size);
      __negative_sign._M_release(_M_negative_sign, _M_negative_sign_size);

      _M_frac_digits = __mp.frac_digits();
      _M_pos_format = __mp.pos_format();
      _M_neg_format = __mp.neg_format();

      const ctype<_CharT>& __ct = use_facet<ctype<_CharT> >(__loc);
      __ct.widen(money_base::_S_atoms,
   money_base::_S_atoms + money_base::_S_end, _M_atoms);

      _M_allocated = true;
    }

namespace __cxx11 {

  template<typename _CharT, typename _InIter>
    template<bool _Intl>
      _InIter
      money_get<_CharT, _InIter>::
      _M_extract(iter_type __beg, iter_type __end, ios_base& __io,
   ios_base::iostate& __err, string& __units) const
      {
 typedef char_traits<_CharT> __traits_type;
 typedef typename string_type::size_type size_type;
 typedef money_base::part part;
 typedef __moneypunct_cache<_CharT, _Intl> __cache_type;

 const locale& __loc = __io._M_getloc();
 const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

 __use_cache<__cache_type> __uc;
 const __cache_type* __lc = __uc(__loc);
 const char_type* __lit = __lc->_M_atoms;


 bool __negative = false;

 size_type __sign_size = 0;

 const bool __mandatory_sign = (__lc->_M_positive_sign_size
           && __lc->_M_negative_sign_size);

 string __grouping_tmp;
 if (__lc->_M_use_grouping)
   __grouping_tmp.reserve(32);

 int __last_pos = 0;

 int __n = 0;

 bool __testvalid = true;

 bool __testdecfound = false;


 string __res;
 __res.reserve(32);

 const char_type* __lit_zero = __lit + money_base::_S_zero;
 const money_base::pattern __p = __lc->_M_neg_format;
 for (int __i = 0; __i < 4 && __testvalid; ++__i)
   {
     const part __which = static_cast<part>(__p.field[__i]);
     switch (__which)
       {
       case money_base::symbol:




  if (__io.flags() & ios_base::showbase || __sign_size > 1
      || __i == 0
      || (__i == 1 && (__mandatory_sign
         || (static_cast<part>(__p.field[0])
      == money_base::sign)
         || (static_cast<part>(__p.field[2])
      == money_base::space)))
      || (__i == 2 && ((static_cast<part>(__p.field[3])
          == money_base::value)
         || (__mandatory_sign
      && (static_cast<part>(__p.field[3])
          == money_base::sign)))))
    {
      const size_type __len = __lc->_M_curr_symbol_size;
      size_type __j = 0;
      for (; __beg != __end && __j < __len
      && *__beg == __lc->_M_curr_symbol[__j];
    ++__beg, (void)++__j);
      if (__j != __len
   && (__j || __io.flags() & ios_base::showbase))
        __testvalid = false;
    }
  break;
       case money_base::sign:

  if (__lc->_M_positive_sign_size && __beg != __end
      && *__beg == __lc->_M_positive_sign[0])
    {
      __sign_size = __lc->_M_positive_sign_size;
      ++__beg;
    }
  else if (__lc->_M_negative_sign_size && __beg != __end
    && *__beg == __lc->_M_negative_sign[0])
    {
      __negative = true;
      __sign_size = __lc->_M_negative_sign_size;
      ++__beg;
    }
  else if (__lc->_M_positive_sign_size
    && !__lc->_M_negative_sign_size)


    __negative = true;
  else if (__mandatory_sign)
    __testvalid = false;
  break;
       case money_base::value:


  for (; __beg != __end; ++__beg)
    {
      const char_type __c = *__beg;
      const char_type* __q = __traits_type::find(__lit_zero,
              10, __c);
      if (__q != 0)
        {
   __res += money_base::_S_atoms[__q - __lit];
   ++__n;
        }
      else if (__c == __lc->_M_decimal_point
        && !__testdecfound)
        {
   if (__lc->_M_frac_digits <= 0)
     break;

   __last_pos = __n;
   __n = 0;
   __testdecfound = true;
        }
      else if (__lc->_M_use_grouping
        && __c == __lc->_M_thousands_sep
        && !__testdecfound)
        {
   if (__n)
     {

       __grouping_tmp += static_cast<char>(__n);
       __n = 0;
     }
   else
     {
       __testvalid = false;
       break;
     }
        }
      else
        break;
    }
  if (__res.empty())
    __testvalid = false;
  break;
       case money_base::space:

  if (__beg != __end && __ctype.is(ctype_base::space, *__beg))
    ++__beg;
  else
    __testvalid = false;

       case money_base::none:

  if (__i != 3)
    for (; __beg != __end
    && __ctype.is(ctype_base::space, *__beg); ++__beg);
  break;
       }
   }


 if (__sign_size > 1 && __testvalid)
   {
     const char_type* __sign = __negative ? __lc->_M_negative_sign
                                          : __lc->_M_positive_sign;
     size_type __i = 1;
     for (; __beg != __end && __i < __sign_size
     && *__beg == __sign[__i]; ++__beg, (void)++__i);

     if (__i != __sign_size)
       __testvalid = false;
   }

 if (__testvalid)
   {

     if (__res.size() > 1)
       {
  const size_type __first = __res.find_first_not_of('0');
  const bool __only_zeros = __first == string::npos;
  if (__first)
    __res.erase(0, __only_zeros ? __res.size() - 1 : __first);
       }


     if (__negative && __res[0] != '0')
       __res.insert(__res.begin(), '-');


     if (__grouping_tmp.size())
       {

  __grouping_tmp += static_cast<char>(__testdecfound ? __last_pos
                         : __n);
  if (!std::__verify_grouping(__lc->_M_grouping,
         __lc->_M_grouping_size,
         __grouping_tmp))
    __err |= ios_base::failbit;
       }


     if (__testdecfound && __n != __lc->_M_frac_digits)
       __testvalid = false;
   }


 if (!__testvalid)
   __err |= ios_base::failbit;
 else
   __units.swap(__res);


 if (__beg == __end)
   __err |= ios_base::eofbit;
 return __beg;
      }
# 368 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
  template<typename _CharT, typename _InIter>
    _InIter
    money_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, bool __intl, ios_base& __io,
    ios_base::iostate& __err, long double& __units) const
    {
      string __str;
      __beg = __intl ? _M_extract<true>(__beg, __end, __io, __err, __str)
              : _M_extract<false>(__beg, __end, __io, __err, __str);
      std::__convert_to_v(__str.c_str(), __units, __err, _S_get_c_locale());
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    money_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, bool __intl, ios_base& __io,
    ios_base::iostate& __err, string_type& __digits) const
    {
      typedef typename string::size_type size_type;

      const locale& __loc = __io._M_getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

      string __str;
      __beg = __intl ? _M_extract<true>(__beg, __end, __io, __err, __str)
              : _M_extract<false>(__beg, __end, __io, __err, __str);
      const size_type __len = __str.size();
      if (__len)
 {
   __digits.resize(__len);
   __ctype.widen(__str.data(), __str.data() + __len, &__digits[0]);
 }
      return __beg;
    }
# 420 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
  template<typename _CharT, typename _OutIter>
    template<bool _Intl>
      _OutIter
      money_put<_CharT, _OutIter>::
      _M_insert(iter_type __s, ios_base& __io, char_type __fill,
  const string_type& __digits) const
      {
 typedef typename string_type::size_type size_type;
 typedef money_base::part part;
 typedef __moneypunct_cache<_CharT, _Intl> __cache_type;

 const locale& __loc = __io._M_getloc();
 const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

 __use_cache<__cache_type> __uc;
 const __cache_type* __lc = __uc(__loc);
 const char_type* __lit = __lc->_M_atoms;



 const char_type* __beg = __digits.data();

 money_base::pattern __p;
 const char_type* __sign;
 size_type __sign_size;
 if (!(*__beg == __lit[money_base::_S_minus]))
   {
     __p = __lc->_M_pos_format;
     __sign = __lc->_M_positive_sign;
     __sign_size = __lc->_M_positive_sign_size;
   }
 else
   {
     __p = __lc->_M_neg_format;
     __sign = __lc->_M_negative_sign;
     __sign_size = __lc->_M_negative_sign_size;
     if (__digits.size())
       ++__beg;
   }


 size_type __len = __ctype.scan_not(ctype_base::digit, __beg,
        __beg + __digits.size()) - __beg;
 if (__len)
   {



     string_type __value;
     __value.reserve(2 * __len);



     long __paddec = __len - __lc->_M_frac_digits;
     if (__paddec > 0)
       {
  if (__lc->_M_frac_digits < 0)
    __paddec = __len;
  if (__lc->_M_grouping_size)
    {
      __value.assign(2 * __paddec, char_type());
      _CharT* __vend =
        std::__add_grouping(&__value[0], __lc->_M_thousands_sep,
       __lc->_M_grouping,
       __lc->_M_grouping_size,
       __beg, __beg + __paddec);
      __value.erase(__vend - &__value[0]);
    }
  else
    __value.assign(__beg, __paddec);
       }


     if (__lc->_M_frac_digits > 0)
       {
  __value += __lc->_M_decimal_point;
  if (__paddec >= 0)
    __value.append(__beg + __paddec, __lc->_M_frac_digits);
  else
    {

      __value.append(-__paddec, __lit[money_base::_S_zero]);
      __value.append(__beg, __len);
    }
       }


     const ios_base::fmtflags __f = __io.flags()
                                    & ios_base::adjustfield;
     __len = __value.size() + __sign_size;
     __len += ((__io.flags() & ios_base::showbase)
        ? __lc->_M_curr_symbol_size : 0);

     string_type __res;
     __res.reserve(2 * __len);

     const size_type __width = static_cast<size_type>(__io.width());
     const bool __testipad = (__f == ios_base::internal
         && __len < __width);

     for (int __i = 0; __i < 4; ++__i)
       {
  const part __which = static_cast<part>(__p.field[__i]);
  switch (__which)
    {
    case money_base::symbol:
      if (__io.flags() & ios_base::showbase)
        __res.append(__lc->_M_curr_symbol,
       __lc->_M_curr_symbol_size);
      break;
    case money_base::sign:



      if (__sign_size)
        __res += __sign[0];
      break;
    case money_base::value:
      __res += __value;
      break;
    case money_base::space:



      if (__testipad)
        __res.append(__width - __len, __fill);
      else
        __res += __fill;
      break;
    case money_base::none:
      if (__testipad)
        __res.append(__width - __len, __fill);
      break;
    }
       }


     if (__sign_size > 1)
       __res.append(__sign + 1, __sign_size - 1);


     __len = __res.size();
     if (__width > __len)
       {
  if (__f == ios_base::left)

    __res.append(__width - __len, __fill);
  else

    __res.insert(0, __width - __len, __fill);
  __len = __width;
       }


     __s = std::__write(__s, __res.data(), __len);
   }
 __io.width(0);
 return __s;
      }
# 590 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
  template<typename _CharT, typename _OutIter>
    _OutIter
    money_put<_CharT, _OutIter>::
    do_put(iter_type __s, bool __intl, ios_base& __io, char_type __fill,
    long double __units) const
    {
      const locale __loc = __io.getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);


      int __cs_size = 64;
      char* __cs = static_cast<char*>(__builtin_alloca(__cs_size));


      int __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     "%.*Lf", 0, __units);

      if (__len >= __cs_size)
 {
   __cs_size = __len + 1;
   __cs = static_cast<char*>(__builtin_alloca(__cs_size));
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     "%.*Lf", 0, __units);
 }
# 622 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
      string_type __digits(__len, char_type());
      __ctype.widen(__cs, __cs + __len, &__digits[0]);
      return __intl ? _M_insert<true>(__s, __io, __fill, __digits)
             : _M_insert<false>(__s, __io, __fill, __digits);
    }

  template<typename _CharT, typename _OutIter>
    _OutIter
    money_put<_CharT, _OutIter>::
    do_put(iter_type __s, bool __intl, ios_base& __io, char_type __fill,
    const string_type& __digits) const
    { return __intl ? _M_insert<true>(__s, __io, __fill, __digits)
             : _M_insert<false>(__s, __io, __fill, __digits); }
# 674 "/usr/include/c++/13/bits/locale_facets_nonio.tcc" 3
}




  template<typename _CharT, typename _InIter>
    time_base::dateorder
    time_get<_CharT, _InIter>::do_date_order() const
    { return time_base::no_order; }



  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    _M_extract_via_format(iter_type __beg, iter_type __end, ios_base& __io,
     ios_base::iostate& __err, tm* __tm,
     const _CharT* __format,
     __time_get_state &__state) const
    {
      const locale& __loc = __io._M_getloc();
      const __timepunct<_CharT>& __tp = use_facet<__timepunct<_CharT> >(__loc);
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);
      const size_t __len = char_traits<_CharT>::length(__format);

      ios_base::iostate __tmperr = ios_base::goodbit;
      size_t __i = 0;
      for (; __beg != __end && __i < __len && !__tmperr; ++__i)
 {
   if (__ctype.narrow(__format[__i], 0) == '%')
     {

       char __c = __ctype.narrow(__format[++__i], 0);
       int __mem = 0;
       if (__c == 'E' || __c == 'O')
  __c = __ctype.narrow(__format[++__i], 0);
       switch (__c)
  {
    const char* __cs;
    _CharT __wcs[10];
  case 'a':
  case 'A':

    const char_type* __days[14];
    __tp._M_days(&__days[0]);
    __tp._M_days_abbreviated(&__days[7]);
    __beg = _M_extract_name(__beg, __end, __mem, __days,
       14, __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_wday = __mem % 7;
        __state._M_have_wday = 1;
      }
    break;
  case 'h':
  case 'b':
  case 'B':

    const char_type* __months[24];
    __tp._M_months(&__months[0]);
    __tp._M_months_abbreviated(&__months[12]);
    __beg = _M_extract_name(__beg, __end, __mem,
       __months, 24, __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_mon = __mem % 12;
        __state._M_have_mon = 1;
        __state._M_want_xday = 1;
      }
    break;
  case 'c':

    const char_type* __dt[2];
    __tp._M_date_time_formats(__dt);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __dt[0], __state);
    if (!__tmperr)
      __state._M_want_xday = 1;
    break;
  case 'C':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 99, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __state._M_century = __mem;
        __state._M_have_century = 1;
        __state._M_want_xday = 1;
      }
    break;
  case 'd':
  case 'e':

    if (__ctype.is(ctype_base::space, *__beg))
      ++__beg;
    __beg = _M_extract_num(__beg, __end, __mem, 1, 31, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_mday = __mem;
        __state._M_have_mday = 1;
        __state._M_want_xday = 1;
      }
    break;
  case 'D':

    __cs = "%m/%d/%y";
    __ctype.widen(__cs, __cs + 9, __wcs);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __wcs, __state);
    if (!__tmperr)
      __state._M_want_xday = 1;
    break;
  case 'H':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 23, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_hour = __mem;
        __state._M_have_I = 0;
      }
    break;
  case 'I':

    __beg = _M_extract_num(__beg, __end, __mem, 1, 12, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_hour = __mem % 12;
        __state._M_have_I = 1;
      }
    break;
  case 'j':

    __beg = _M_extract_num(__beg, __end, __mem, 1, 366, 3,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_yday = __mem - 1;
        __state._M_have_yday = 1;
      }
    break;
  case 'm':

    __beg = _M_extract_num(__beg, __end, __mem, 1, 12, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_mon = __mem - 1;
        __state._M_have_mon = 1;
      }
    break;
  case 'M':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 59, 2,
      __io, __tmperr);
    if (!__tmperr)
      __tm->tm_min = __mem;
    break;
  case 'n':
  case 't':
    while (__beg != __end
    && __ctype.is(ctype_base::space, *__beg))
      ++__beg;
    break;
  case 'p':

    const char_type* __ampm[2];
    __tp._M_am_pm(&__ampm[0]);
    if (!__ampm[0][0] || !__ampm[1][0])
      break;
    __beg = _M_extract_name(__beg, __end, __mem, __ampm,
       2, __io, __tmperr);
    if (!__tmperr && __mem)
      __state._M_is_pm = 1;
    break;
  case 'r':

    const char_type* __ampm_format;
    __tp._M_am_pm_format(&__ampm_format);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __ampm_format, __state);
    break;
  case 'R':

    __cs = "%H:%M";
    __ctype.widen(__cs, __cs + 6, __wcs);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __wcs, __state);
    break;
  case 'S':



    __beg = _M_extract_num(__beg, __end, __mem, 0, 60, 2,



      __io, __tmperr);
    if (!__tmperr)
      __tm->tm_sec = __mem;
    break;
  case 'T':

    __cs = "%H:%M:%S";
    __ctype.widen(__cs, __cs + 9, __wcs);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __wcs, __state);
    break;
  case 'U':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 53, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __state._M_week_no = __mem;
        __state._M_have_uweek = 1;
      }
    break;
  case 'w':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 6, 1,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_wday = __mem;
        __state._M_have_wday = 1;
      }
    break;
  case 'W':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 53, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __state._M_week_no = __mem;
        __state._M_have_wweek = 1;
      }
    break;
  case 'x':

    const char_type* __dates[2];
    __tp._M_date_formats(__dates);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __dates[0], __state);
    break;
  case 'X':

    const char_type* __times[2];
    __tp._M_time_formats(__times);
    __beg = _M_extract_via_format(__beg, __end, __io, __tmperr,
      __tm, __times[0], __state);
    break;
  case 'y':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 99, 2,
      __io, __tmperr);
    if (!__tmperr)
      {
        __state._M_want_century = 1;
        __state._M_want_xday = 1;


        __c = 0;
        if (__beg != __end)
   __c = __ctype.narrow(*__beg, '*');
        if (__c >= '0' && __c <= '9')
   {
     ++__beg;
     __mem = __mem * 10 + (__c - '0');
     if (__beg != __end)
       {
         __c = __ctype.narrow(*__beg, '*');
         if (__c >= '0' && __c <= '9')
    {
      ++__beg;
      __mem = __mem * 10 + (__c - '0');
    }
       }
     __mem -= 1900;
     __state._M_want_century = 0;
   }


        else if (__mem < 69)
   __mem += 100;
        __tm->tm_year = __mem;
      }
    break;
  case 'Y':

    __beg = _M_extract_num(__beg, __end, __mem, 0, 9999, 4,
      __io, __tmperr);
    if (!__tmperr)
      {
        __tm->tm_year = __mem - 1900;
        __state._M_want_century = 0;
        __state._M_want_xday = 1;
      }
    break;
  case 'Z':

    if (__ctype.is(ctype_base::upper, *__beg))
      {
        int __tmp;
        __beg = _M_extract_name(__beg, __end, __tmp,
           __timepunct_cache<_CharT>::_S_timezones,
           14, __io, __tmperr);


        if (__beg != __end && !__tmperr && __tmp == 0
     && (*__beg == __ctype.widen('-')
         || *__beg == __ctype.widen('+')))
   {
     __beg = _M_extract_num(__beg, __end, __tmp, 0, 23, 2,
       __io, __tmperr);
     __beg = _M_extract_num(__beg, __end, __tmp, 0, 59, 2,
       __io, __tmperr);
   }
      }
    else
      __tmperr |= ios_base::failbit;
    break;
  case '%':
    if (*__beg == __ctype.widen('%'))
      ++__beg;
    else
      __tmperr |= ios_base::failbit;
    break;
  default:

    __tmperr |= ios_base::failbit;
  }
     }
   else if (__ctype.is(ctype_base::space, __format[__i]))
     {

       while (__beg != __end
       && __ctype.is(ctype_base::space, *__beg))
  ++__beg;
     }
   else
     {


       if (__ctype.tolower(__format[__i]) == __ctype.tolower(*__beg)
    || __ctype.toupper(__format[__i]) == __ctype.toupper(*__beg))
  ++__beg;
       else
  __tmperr |= ios_base::failbit;
     }
 }

      if (__tmperr || __i != __len)
 __err |= ios_base::failbit;

      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    _M_extract_via_format(iter_type __beg, iter_type __end, ios_base& __io,
     ios_base::iostate& __err, tm* __tm,
     const _CharT* __format) const
    {
      __time_get_state __state = __time_get_state();
      return _M_extract_via_format(__beg, __end, __io, __err, __tm,
       __format, __state);
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    _M_extract_num(iter_type __beg, iter_type __end, int& __member,
     int __min, int __max, size_t __len,
     ios_base& __io, ios_base::iostate& __err) const
    {
      const locale& __loc = __io._M_getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

      size_t __i = 0;
      int __value = 0;
      for (; __beg != __end && __i < __len; ++__beg, (void)++__i)
 {
   const char __c = __ctype.narrow(*__beg, '*');
   if (__c >= '0' && __c <= '9')
     {
       __value = __value * 10 + (__c - '0');
       if (__value > __max)
  break;
     }
   else
     break;
 }
      if (__i && __value >= __min && __value <= __max)
 __member = __value;
      else
 __err |= ios_base::failbit;

      return __beg;
    }






  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    _M_extract_name(iter_type __beg, iter_type __end, int& __member,
      const _CharT** __names, size_t __indexlen,
      ios_base& __io, ios_base::iostate& __err) const
    {
      typedef char_traits<_CharT> __traits_type;
      const locale& __loc = __io._M_getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

      size_t* __matches
 = static_cast<size_t*>(__builtin_alloca(2 * sizeof(size_t)
      * __indexlen));
      size_t* __lengths = __matches + __indexlen;
      size_t __nmatches = 0;
      size_t __pos = 0;
      bool __testvalid = true;
      const char_type* __name;
      bool __begupdated = false;


      if (__beg != __end)
 {
   const char_type __c = *__beg;

   const char_type __cl = __ctype.tolower(__c);
   const char_type __cu = __ctype.toupper(__c);
   for (size_t __i1 = 0; __i1 < __indexlen; ++__i1)
     if (__cl == __ctype.tolower(__names[__i1][0])
  || __cu == __ctype.toupper(__names[__i1][0]))
       {
  __lengths[__nmatches]
    = __traits_type::length(__names[__i1]);
  __matches[__nmatches++] = __i1;
       }
 }

      while (__nmatches > 1)
 {

   size_t __minlen = __lengths[0];
   for (size_t __i2 = 1; __i2 < __nmatches; ++__i2)
     __minlen = std::min(__minlen, __lengths[__i2]);
   ++__pos;
   ++__beg;
   if (__pos == __minlen)
     {






       bool __match_longer = false;

       if (__beg != __end)
  {

    const char_type __cl = __ctype.tolower(*__beg);
    const char_type __cu = __ctype.toupper(*__beg);
    for (size_t __i3 = 0; __i3 < __nmatches; ++__i3)
      {
        __name = __names[__matches[__i3]];
        if (__lengths[__i3] > __pos
     && (__ctype.tolower(__name[__pos]) == __cl
         || __ctype.toupper(__name[__pos]) == __cu))
   {
     __match_longer = true;
     break;
   }
      }
  }
       for (size_t __i4 = 0; __i4 < __nmatches;)
  if (__match_longer == (__lengths[__i4] == __pos))
    {
      __matches[__i4] = __matches[--__nmatches];
      __lengths[__i4] = __lengths[__nmatches];
    }
  else
    ++__i4;
       if (__match_longer)
  {
    __minlen = __lengths[0];
    for (size_t __i5 = 1; __i5 < __nmatches; ++__i5)
      __minlen = std::min(__minlen, __lengths[__i5]);
  }
       else
  {


    if (__nmatches == 2 && (__indexlen & 1) == 0)
      {
        if (__matches[0] < __indexlen / 2)
   {
     if (__matches[1] == __matches[0] + __indexlen / 2)
       __nmatches = 1;
   }
        else if (__matches[1] == __matches[0] - __indexlen / 2)
   {
     __matches[0] = __matches[1];
     __lengths[0] = __lengths[1];
     __nmatches = 1;
   }
      }
    __begupdated = true;
    break;
  }
     }
   if (__pos < __minlen && __beg != __end)
     {

       const char_type __cl = __ctype.tolower(*__beg);
       const char_type __cu = __ctype.toupper(*__beg);
       for (size_t __i6 = 0; __i6 < __nmatches;)
  {
    __name = __names[__matches[__i6]];
    if (__ctype.tolower(__name[__pos]) != __cl
        && __ctype.toupper(__name[__pos]) != __cu)
      {
        __matches[__i6] = __matches[--__nmatches];
        __lengths[__i6] = __lengths[__nmatches];
      }
    else
      ++__i6;
  }
     }
   else
     break;
 }

      if (__nmatches == 1)
 {

   if (!__begupdated)
     {
       ++__beg;
       ++__pos;
     }
   __name = __names[__matches[0]];
   const size_t __len = __lengths[0];
   while (__pos < __len
   && __beg != __end

   && (__ctype.tolower(__name[__pos]) == __ctype.tolower(*__beg)
       || (__ctype.toupper(__name[__pos])
    == __ctype.toupper(*__beg))))
     ++__beg, (void)++__pos;

   if (__len == __pos)
     __member = __matches[0];
   else
     __testvalid = false;
 }
      else
 __testvalid = false;
      if (!__testvalid)
 __err |= ios_base::failbit;

      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    _M_extract_wday_or_month(iter_type __beg, iter_type __end, int& __member,
        const _CharT** __names, size_t __indexlen,
        ios_base& __io, ios_base::iostate& __err) const
    {
      typedef char_traits<_CharT> __traits_type;
      const locale& __loc = __io._M_getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

      int* __matches = static_cast<int*>(__builtin_alloca(2 * sizeof(int)
         * __indexlen));
      size_t __nmatches = 0;
      size_t* __matches_lengths = 0;
      size_t __pos = 0;

      if (__beg != __end)
 {
   const char_type __c = *__beg;
   for (size_t __i = 0; __i < 2 * __indexlen; ++__i)
     if (__c == __names[__i][0]
  || __c == __ctype.toupper(__names[__i][0]))
       __matches[__nmatches++] = __i;
 }

      if (__nmatches)
 {
   ++__beg;
   ++__pos;

   __matches_lengths
     = static_cast<size_t*>(__builtin_alloca(sizeof(size_t)
          * __nmatches));
   for (size_t __i = 0; __i < __nmatches; ++__i)
     __matches_lengths[__i]
       = __traits_type::length(__names[__matches[__i]]);
 }

      for (; __beg != __end; ++__beg, (void)++__pos)
 {
   size_t __nskipped = 0;
   const char_type __c = *__beg;
   for (size_t __i = 0; __i < __nmatches;)
     {
       const char_type* __name = __names[__matches[__i]];
       if (__pos >= __matches_lengths[__i])
  ++__nskipped, ++__i;
       else if (!(__name[__pos] == __c))
  {
    --__nmatches;
    __matches[__i] = __matches[__nmatches];
    __matches_lengths[__i] = __matches_lengths[__nmatches];
  }
       else
  ++__i;
     }
   if (__nskipped == __nmatches)
     break;
 }

      if ((__nmatches == 1 && __matches_lengths[0] == __pos)
   || (__nmatches == 2 && (__matches_lengths[0] == __pos
      || __matches_lengths[1] == __pos)))
 __member = (__matches[0] >= (int)__indexlen
      ? __matches[0] - (int)__indexlen : __matches[0]);
      else
 __err |= ios_base::failbit;

      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    do_get_time(iter_type __beg, iter_type __end, ios_base& __io,
  ios_base::iostate& __err, tm* __tm) const
    {
      const locale& __loc = __io._M_getloc();
      const __timepunct<_CharT>& __tp = use_facet<__timepunct<_CharT> >(__loc);
      const char_type* __times[2];
      __tp._M_time_formats(__times);
      __time_get_state __state = __time_get_state();
      __beg = _M_extract_via_format(__beg, __end, __io, __err,
        __tm, __times[0], __state);
      __state._M_finalize_state(__tm);
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    do_get_date(iter_type __beg, iter_type __end, ios_base& __io,
  ios_base::iostate& __err, tm* __tm) const
    {
      const locale& __loc = __io._M_getloc();
      const __timepunct<_CharT>& __tp = use_facet<__timepunct<_CharT> >(__loc);
      const char_type* __dates[2];
      __tp._M_date_formats(__dates);
      __time_get_state __state = __time_get_state();
      __beg = _M_extract_via_format(__beg, __end, __io, __err,
        __tm, __dates[0], __state);
      __state._M_finalize_state(__tm);
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    do_get_weekday(iter_type __beg, iter_type __end, ios_base& __io,
     ios_base::iostate& __err, tm* __tm) const
    {
      const locale& __loc = __io._M_getloc();
      const __timepunct<_CharT>& __tp = use_facet<__timepunct<_CharT> >(__loc);
      const char_type* __days[14];
      __tp._M_days_abbreviated(__days);
      __tp._M_days(__days + 7);
      int __tmpwday;
      ios_base::iostate __tmperr = ios_base::goodbit;

      __beg = _M_extract_wday_or_month(__beg, __end, __tmpwday, __days, 7,
           __io, __tmperr);
      if (!__tmperr)
 __tm->tm_wday = __tmpwday;
      else
 __err |= ios_base::failbit;

      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
     }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    do_get_monthname(iter_type __beg, iter_type __end,
                     ios_base& __io, ios_base::iostate& __err, tm* __tm) const
    {
      const locale& __loc = __io._M_getloc();
      const __timepunct<_CharT>& __tp = use_facet<__timepunct<_CharT> >(__loc);
      const char_type* __months[24];
      __tp._M_months_abbreviated(__months);
      __tp._M_months(__months + 12);
      int __tmpmon;
      ios_base::iostate __tmperr = ios_base::goodbit;

      __beg = _M_extract_wday_or_month(__beg, __end, __tmpmon, __months, 12,
           __io, __tmperr);
      if (!__tmperr)
 __tm->tm_mon = __tmpmon;
      else
 __err |= ios_base::failbit;

      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    time_get<_CharT, _InIter>::
    do_get_year(iter_type __beg, iter_type __end, ios_base& __io,
  ios_base::iostate& __err, tm* __tm) const
    {
      int __tmpyear;
      ios_base::iostate __tmperr = ios_base::goodbit;
      const locale& __loc = __io._M_getloc();
      const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

      __beg = _M_extract_num(__beg, __end, __tmpyear, 0, 99, 2,
        __io, __tmperr);
      if (!__tmperr)
 {
   char __c = 0;
   if (__beg != __end)
     __c = __ctype.narrow(*__beg, '*');



   if (__c >= '0' && __c <= '9')
     {
       ++__beg;
       __tmpyear = __tmpyear * 10 + (__c - '0');
       if (__beg != __end)
  {
    __c = __ctype.narrow(*__beg, '*');
    if (__c >= '0' && __c <= '9')
      {
        ++__beg;
        __tmpyear = __tmpyear * 10 + (__c - '0');
      }
  }
       __tmpyear -= 1900;
     }
   else if (__tmpyear < 69)
     __tmpyear += 100;
   __tm->tm_year = __tmpyear;
 }
      else
 __err |= ios_base::failbit;

      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }


  template<typename _CharT, typename _InIter>
    inline
    _InIter
    time_get<_CharT, _InIter>::
    get(iter_type __s, iter_type __end, ios_base& __io,
        ios_base::iostate& __err, tm* __tm, const char_type* __fmt,
        const char_type* __fmtend) const
    {
      const locale& __loc = __io._M_getloc();
      ctype<_CharT> const& __ctype = use_facet<ctype<_CharT> >(__loc);
      __err = ios_base::goodbit;
      bool __use_state = false;

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpmf-conversions"






      if ((void*)(this->*(&time_get::do_get)) == (void*)(&time_get::do_get))
 __use_state = true;
#pragma GCC diagnostic pop

      __time_get_state __state = __time_get_state();
      while (__fmt != __fmtend &&
             __err == ios_base::goodbit)
        {
          if (__s == __end)
            {
              __err = ios_base::eofbit | ios_base::failbit;
              break;
            }
          else if (__ctype.narrow(*__fmt, 0) == '%')
            {
       const char_type* __fmt_start = __fmt;
              char __format;
              char __mod = 0;
              if (++__fmt == __fmtend)
                {
                  __err = ios_base::failbit;
                  break;
                }
              const char __c = __ctype.narrow(*__fmt, 0);
              if (__c != 'E' && __c != 'O')
                __format = __c;
              else if (++__fmt != __fmtend)
                {
                  __mod = __c;
                  __format = __ctype.narrow(*__fmt, 0);
                }
              else
                {
                  __err = ios_base::failbit;
                  break;
                }
       if (__use_state)
  {
    char_type __new_fmt[4];
    __new_fmt[0] = __fmt_start[0];
    __new_fmt[1] = __fmt_start[1];
    if (__mod)
      {
        __new_fmt[2] = __fmt_start[2];
        __new_fmt[3] = char_type();
      }
    else
      __new_fmt[2] = char_type();
    __s = _M_extract_via_format(__s, __end, __io, __err, __tm,
           __new_fmt, __state);
    if (__s == __end)
      __err |= ios_base::eofbit;
  }
       else
  __s = this->do_get(__s, __end, __io, __err, __tm, __format,
       __mod);
              ++__fmt;
            }
          else if (__ctype.is(ctype_base::space, *__fmt))
            {
              ++__fmt;
              while (__fmt != __fmtend &&
                     __ctype.is(ctype_base::space, *__fmt))
                ++__fmt;

              while (__s != __end &&
                     __ctype.is(ctype_base::space, *__s))
                ++__s;
            }

          else if (__ctype.tolower(*__s) == __ctype.tolower(*__fmt) ||
                   __ctype.toupper(*__s) == __ctype.toupper(*__fmt))
            {
              ++__s;
              ++__fmt;
            }
          else
            {
              __err = ios_base::failbit;
              break;
            }
        }
      if (__use_state)
 __state._M_finalize_state(__tm);
      return __s;
    }

  template<typename _CharT, typename _InIter>
    inline
    _InIter
    time_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, tm* __tm,
           char __format, char __mod) const
    {
      const locale& __loc = __io._M_getloc();
      ctype<_CharT> const& __ctype = use_facet<ctype<_CharT> >(__loc);
      __err = ios_base::goodbit;

      char_type __fmt[4];
      __fmt[0] = __ctype.widen('%');
      if (!__mod)
        {
          __fmt[1] = __format;
          __fmt[2] = char_type();
        }
      else
        {
          __fmt[1] = __mod;
          __fmt[2] = __format;
          __fmt[3] = char_type();
        }

      __time_get_state __state = __time_get_state();
      __beg = _M_extract_via_format(__beg, __end, __io, __err, __tm, __fmt,
        __state);
      __state._M_finalize_state(__tm);
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }



  template<typename _CharT, typename _OutIter>
    _OutIter
    time_put<_CharT, _OutIter>::
    put(iter_type __s, ios_base& __io, char_type __fill, const tm* __tm,
 const _CharT* __beg, const _CharT* __end) const
    {
      const locale& __loc = __io._M_getloc();
      ctype<_CharT> const& __ctype = use_facet<ctype<_CharT> >(__loc);
      for (; __beg != __end; ++__beg)
 if (__ctype.narrow(*__beg, 0) != '%')
   {
     *__s = *__beg;
     ++__s;
   }
 else if (++__beg != __end)
   {
     char __format;
     char __mod = 0;
     const char __c = __ctype.narrow(*__beg, 0);
     if (__c != 'E' && __c != 'O')
       __format = __c;
     else if (++__beg != __end)
       {
  __mod = __c;
  __format = __ctype.narrow(*__beg, 0);
       }
     else
       break;
     __s = this->do_put(__s, __io, __fill, __tm, __format, __mod);
   }
 else
   break;
      return __s;
    }

  template<typename _CharT, typename _OutIter>
    _OutIter
    time_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type, const tm* __tm,
    char __format, char __mod) const
    {
      const locale& __loc = __io._M_getloc();
      ctype<_CharT> const& __ctype = use_facet<ctype<_CharT> >(__loc);
      __timepunct<_CharT> const& __tp = use_facet<__timepunct<_CharT> >(__loc);



      const size_t __maxlen = 128;
      char_type __res[__maxlen];






      char_type __fmt[4];
      __fmt[0] = __ctype.widen('%');
      if (!__mod)
 {
   __fmt[1] = __format;
   __fmt[2] = char_type();
 }
      else
 {
   __fmt[1] = __mod;
   __fmt[2] = __format;
   __fmt[3] = char_type();
 }

      __tp._M_put(__res, __maxlen, __fmt, __tm);


      return std::__write(__s, __res, char_traits<char_type>::length(__res));
    }





  extern template class moneypunct<char, false>;
  extern template class moneypunct<char, true>;
  extern template class moneypunct_byname<char, false>;
  extern template class moneypunct_byname<char, true>;
  extern template class __cxx11:: money_get<char>;
  extern template class __cxx11:: money_put<char>;
  extern template class __timepunct<char>;
  extern template class time_put<char>;
  extern template class time_put_byname<char>;
  extern template class time_get<char>;
  extern template class time_get_byname<char>;
  extern template class messages<char>;
  extern template class messages_byname<char>;

  extern template
    const moneypunct<char, true>*
    __try_use_facet<moneypunct<char, true> >(const locale&) noexcept;

  extern template
    const moneypunct<char, false>*
    __try_use_facet<moneypunct<char, false> >(const locale&) noexcept;

  extern template
    const money_put<char>*
    __try_use_facet<money_put<char> >(const locale&) noexcept;

  extern template
    const money_get<char>*
    __try_use_facet<money_get<char> >(const locale&) noexcept;

  extern template
    const __timepunct<char>*
    __try_use_facet<__timepunct<char> >(const locale&) noexcept;

  extern template
    const time_put<char>*
    __try_use_facet<time_put<char> >(const locale&) noexcept;

  extern template
    const time_get<char>*
    __try_use_facet<time_get<char> >(const locale&) noexcept;

  extern template
    const messages<char>*
    __try_use_facet<messages<char> >(const locale&) noexcept;

  extern template
    const moneypunct<char, true>&
    use_facet<moneypunct<char, true> >(const locale&);

  extern template
    const moneypunct<char, false>&
    use_facet<moneypunct<char, false> >(const locale&);

  extern template
    const money_put<char>&
    use_facet<money_put<char> >(const locale&);

  extern template
    const money_get<char>&
    use_facet<money_get<char> >(const locale&);

  extern template
    const __timepunct<char>&
    use_facet<__timepunct<char> >(const locale&);

  extern template
    const time_put<char>&
    use_facet<time_put<char> >(const locale&);

  extern template
    const time_get<char>&
    use_facet<time_get<char> >(const locale&);

  extern template
    const messages<char>&
    use_facet<messages<char> >(const locale&);

  extern template
    bool
    has_facet<moneypunct<char> >(const locale&);

  extern template
    bool
    has_facet<money_put<char> >(const locale&);

  extern template
    bool
    has_facet<money_get<char> >(const locale&);

  extern template
    bool
    has_facet<__timepunct<char> >(const locale&);

  extern template
    bool
    has_facet<time_put<char> >(const locale&);

  extern template
    bool
    has_facet<time_get<char> >(const locale&);

  extern template
    bool
    has_facet<messages<char> >(const locale&);


  extern template class moneypunct<wchar_t, false>;
  extern template class moneypunct<wchar_t, true>;
  extern template class moneypunct_byname<wchar_t, false>;
  extern template class moneypunct_byname<wchar_t, true>;
  extern template class __cxx11:: money_get<wchar_t>;
  extern template class __cxx11:: money_put<wchar_t>;
  extern template class __timepunct<wchar_t>;
  extern template class time_put<wchar_t>;
  extern template class time_put_byname<wchar_t>;
  extern template class time_get<wchar_t>;
  extern template class time_get_byname<wchar_t>;
  extern template class messages<wchar_t>;
  extern template class messages_byname<wchar_t>;

  extern template
    const moneypunct<wchar_t, true>*
    __try_use_facet<moneypunct<wchar_t, true> >(const locale&) noexcept;

  extern template
    const moneypunct<wchar_t, false>*
    __try_use_facet<moneypunct<wchar_t, false> >(const locale&) noexcept;

  extern template
    const money_put<wchar_t>*
    __try_use_facet<money_put<wchar_t> >(const locale&) noexcept;

  extern template
    const money_get<wchar_t>*
    __try_use_facet<money_get<wchar_t> >(const locale&) noexcept;

  extern template
    const __timepunct<wchar_t>*
    __try_use_facet<__timepunct<wchar_t> >(const locale&) noexcept;

  extern template
    const time_put<wchar_t>*
    __try_use_facet<time_put<wchar_t> >(const locale&) noexcept;

  extern template
    const time_get<wchar_t>*
    __try_use_facet<time_get<wchar_t> >(const locale&) noexcept;

  extern template
    const messages<wchar_t>*
    __try_use_facet<messages<wchar_t> >(const locale&) noexcept;

  extern template
    const moneypunct<wchar_t, true>&
    use_facet<moneypunct<wchar_t, true> >(const locale&);

  extern template
    const moneypunct<wchar_t, false>&
    use_facet<moneypunct<wchar_t, false> >(const locale&);

  extern template
    const money_put<wchar_t>&
    use_facet<money_put<wchar_t> >(const locale&);

  extern template
    const money_get<wchar_t>&
    use_facet<money_get<wchar_t> >(const locale&);

  extern template
    const __timepunct<wchar_t>&
    use_facet<__timepunct<wchar_t> >(const locale&);

  extern template
    const time_put<wchar_t>&
    use_facet<time_put<wchar_t> >(const locale&);

  extern template
    const time_get<wchar_t>&
    use_facet<time_get<wchar_t> >(const locale&);

  extern template
    const messages<wchar_t>&
    use_facet<messages<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<moneypunct<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<money_put<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<money_get<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<__timepunct<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<time_put<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<time_get<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<messages<wchar_t> >(const locale&);




}
# 2070 "/usr/include/c++/13/bits/locale_facets_nonio.h" 2 3
# 44 "/usr/include/c++/13/locale" 2 3

# 1 "/usr/include/c++/13/bits/locale_conv.h" 1 3
# 42 "/usr/include/c++/13/bits/locale_conv.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _OutStr, typename _InChar, typename _Codecvt,
    typename _State, typename _Fn>
    bool
    __do_str_codecvt(const _InChar* __first, const _InChar* __last,
       _OutStr& __outstr, const _Codecvt& __cvt, _State& __state,
       size_t& __count, _Fn __fn)
    {
      if (__first == __last)
 {
   __outstr.clear();
   __count = 0;
   return true;
 }

      size_t __outchars = 0;
      auto __next = __first;
      const auto __maxlen = __cvt.max_length() + 1;

      codecvt_base::result __result;
      do
 {
   __outstr.resize(__outstr.size() + (__last - __next) * __maxlen);
   auto __outnext = &__outstr.front() + __outchars;
   auto const __outlast = &__outstr.back() + 1;
   __result = (__cvt.*__fn)(__state, __next, __last, __next,
     __outnext, __outlast, __outnext);
   __outchars = __outnext - &__outstr.front();
 }
      while (__result == codecvt_base::partial && __next != __last
      && ptrdiff_t(__outstr.size() - __outchars) < __maxlen);

      if (__result == codecvt_base::error)
 {
   __count = __next - __first;
   return false;
 }



      if constexpr (is_same<typename _Codecvt::intern_type,
           typename _Codecvt::extern_type>())
 if (__result == codecvt_base::noconv)
   {
     __outstr.assign(__first, __last);
     __count = __last - __first;
     return true;
   }

      __outstr.resize(__outchars);
      __count = __next - __first;
      return true;
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_in(const char* __first, const char* __last,
       basic_string<_CharT, _Traits, _Alloc>& __outstr,
       const codecvt<_CharT, char, _State>& __cvt,
       _State& __state, size_t& __count)
    {
      using _Codecvt = codecvt<_CharT, char, _State>;
      using _ConvFn
 = codecvt_base::result
   (_Codecvt::*)(_State&, const char*, const char*, const char*&,
   _CharT*, _CharT*, _CharT*&) const;
      _ConvFn __fn = &codecvt<_CharT, char, _State>::in;
      return __do_str_codecvt(__first, __last, __outstr, __cvt, __state,
         __count, __fn);
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_in(const char* __first, const char* __last,
       basic_string<_CharT, _Traits, _Alloc>& __outstr,
       const codecvt<_CharT, char, _State>& __cvt)
    {
      _State __state = {};
      size_t __n;
      return __str_codecvt_in(__first, __last, __outstr, __cvt, __state, __n);
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_in_all(const char* __first, const char* __last,
    basic_string<_CharT, _Traits, _Alloc>& __outstr,
    const codecvt<_CharT, char, _State>& __cvt)
    {
      _State __state = {};
      size_t __n;
      return __str_codecvt_in(__first, __last, __outstr, __cvt, __state, __n)
 && (__n == size_t(__last - __first));
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_out(const _CharT* __first, const _CharT* __last,
        basic_string<char, _Traits, _Alloc>& __outstr,
        const codecvt<_CharT, char, _State>& __cvt,
        _State& __state, size_t& __count)
    {
      using _Codecvt = codecvt<_CharT, char, _State>;
      using _ConvFn
 = codecvt_base::result
   (_Codecvt::*)(_State&, const _CharT*, const _CharT*, const _CharT*&,
   char*, char*, char*&) const;
      _ConvFn __fn = &codecvt<_CharT, char, _State>::out;
      return __do_str_codecvt(__first, __last, __outstr, __cvt, __state,
         __count, __fn);
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_out(const _CharT* __first, const _CharT* __last,
        basic_string<char, _Traits, _Alloc>& __outstr,
        const codecvt<_CharT, char, _State>& __cvt)
    {
      _State __state = {};
      size_t __n;
      return __str_codecvt_out(__first, __last, __outstr, __cvt, __state, __n);
    }


  template<typename _CharT, typename _Traits, typename _Alloc, typename _State>
    inline bool
    __str_codecvt_out_all(const _CharT* __first, const _CharT* __last,
     basic_string<char, _Traits, _Alloc>& __outstr,
     const codecvt<_CharT, char, _State>& __cvt)
    {
      _State __state = {};
      size_t __n;
      return __str_codecvt_out(__first, __last, __outstr, __cvt, __state, __n)
 && (__n == size_t(__last - __first));
    }
# 223 "/usr/include/c++/13/bits/locale_conv.h" 3
  namespace __detail
  {
    template<typename _Tp>
      struct _Scoped_ptr
      {
 __attribute__((__nonnull__(2)))
 explicit
 _Scoped_ptr(_Tp* __ptr) noexcept
 : _M_ptr(__ptr)
 { }

 _Scoped_ptr(_Tp* __ptr, const char* __msg)
 : _M_ptr(__ptr)
 {
   if (!__ptr)
     __throw_logic_error(__msg);
 }

 ~_Scoped_ptr() { delete _M_ptr; }

 _Scoped_ptr(const _Scoped_ptr&) = delete;
 _Scoped_ptr& operator=(const _Scoped_ptr&) = delete;

 __attribute__((__returns_nonnull__))
 _Tp* operator->() const noexcept { return _M_ptr; }

 _Tp& operator*() const noexcept { return *_M_ptr; }

      private:
 _Tp* _M_ptr;
      };
  }

namespace __cxx11 {


  template<typename _Codecvt, typename _Elem = wchar_t,
    typename _Wide_alloc = allocator<_Elem>,
    typename _Byte_alloc = allocator<char>>
    class wstring_convert
    {
    public:
      typedef basic_string<char, char_traits<char>, _Byte_alloc> byte_string;
      typedef basic_string<_Elem, char_traits<_Elem>, _Wide_alloc> wide_string;
      typedef typename _Codecvt::state_type state_type;
      typedef typename wide_string::traits_type::int_type int_type;


      wstring_convert() : _M_cvt(new _Codecvt()) { }







      explicit
      wstring_convert(_Codecvt* __pcvt) : _M_cvt(__pcvt, "wstring_convert")
      { }
# 291 "/usr/include/c++/13/bits/locale_conv.h" 3
      wstring_convert(_Codecvt* __pcvt, state_type __state)
      : _M_cvt(__pcvt, "wstring_convert"),
 _M_state(__state), _M_with_cvtstate(true)
      { }






      explicit
      wstring_convert(const byte_string& __byte_err,
        const wide_string& __wide_err = wide_string())
      : _M_cvt(new _Codecvt),
 _M_byte_err_string(__byte_err), _M_wide_err_string(__wide_err),
 _M_with_strings(true)
      { }

      ~wstring_convert() = default;



      wstring_convert(const wstring_convert&) = delete;
      wstring_convert& operator=(const wstring_convert&) = delete;


      wide_string
      from_bytes(char __byte)
      {
 char __bytes[2] = { __byte };
 return from_bytes(__bytes, __bytes+1);
      }

      wide_string
      from_bytes(const char* __ptr)
      { return from_bytes(__ptr, __ptr+char_traits<char>::length(__ptr)); }

      wide_string
      from_bytes(const byte_string& __str)
      {
 auto __ptr = __str.data();
 return from_bytes(__ptr, __ptr + __str.size());
      }

      wide_string
      from_bytes(const char* __first, const char* __last)
      {
 if (!_M_with_cvtstate)
   _M_state = state_type();
 wide_string __out{ _M_wide_err_string.get_allocator() };
 if (__str_codecvt_in(__first, __last, __out, *_M_cvt, _M_state,
        _M_count))
   return __out;
 if (_M_with_strings)
   return _M_wide_err_string;
 __throw_range_error("wstring_convert::from_bytes");
      }



      byte_string
      to_bytes(_Elem __wchar)
      {
 _Elem __wchars[2] = { __wchar };
 return to_bytes(__wchars, __wchars+1);
      }

      byte_string
      to_bytes(const _Elem* __ptr)
      {
 return to_bytes(__ptr, __ptr+wide_string::traits_type::length(__ptr));
      }

      byte_string
      to_bytes(const wide_string& __wstr)
      {
 auto __ptr = __wstr.data();
 return to_bytes(__ptr, __ptr + __wstr.size());
      }

      byte_string
      to_bytes(const _Elem* __first, const _Elem* __last)
      {
 if (!_M_with_cvtstate)
   _M_state = state_type();
 byte_string __out{ _M_byte_err_string.get_allocator() };
 if (__str_codecvt_out(__first, __last, __out, *_M_cvt, _M_state,
         _M_count))
   return __out;
 if (_M_with_strings)
   return _M_byte_err_string;
 __throw_range_error("wstring_convert::to_bytes");
      }





      size_t converted() const noexcept { return _M_count; }


      state_type state() const { return _M_state; }

    private:
      __detail::_Scoped_ptr<_Codecvt> _M_cvt;
      byte_string _M_byte_err_string;
      wide_string _M_wide_err_string;
      state_type _M_state = state_type();
      size_t _M_count = 0;
      bool _M_with_cvtstate = false;
      bool _M_with_strings = false;
    };

}


  template<typename _Codecvt, typename _Elem = wchar_t,
    typename _Tr = char_traits<_Elem>>
    class wbuffer_convert : public basic_streambuf<_Elem, _Tr>
    {
      typedef basic_streambuf<_Elem, _Tr> _Wide_streambuf;

    public:
      typedef typename _Codecvt::state_type state_type;


      wbuffer_convert() : wbuffer_convert(nullptr) { }
# 427 "/usr/include/c++/13/bits/locale_conv.h" 3
      explicit
      wbuffer_convert(streambuf* __bytebuf, _Codecvt* __pcvt = new _Codecvt,
        state_type __state = state_type())
      : _M_buf(__bytebuf), _M_cvt(__pcvt, "wbuffer_convert"),
 _M_state(__state), _M_always_noconv(_M_cvt->always_noconv())
      {
 if (_M_buf)
   {
     this->setp(_M_put_area, _M_put_area + _S_buffer_length);
     this->setg(_M_get_area + _S_putback_length,
         _M_get_area + _S_putback_length,
         _M_get_area + _S_putback_length);
   }
      }

      ~wbuffer_convert() = default;



      wbuffer_convert(const wbuffer_convert&) = delete;
      wbuffer_convert& operator=(const wbuffer_convert&) = delete;

      streambuf* rdbuf() const noexcept { return _M_buf; }

      streambuf*
      rdbuf(streambuf *__bytebuf) noexcept
      {
 auto __prev = _M_buf;
 _M_buf = __bytebuf;
 return __prev;
      }


      state_type state() const noexcept { return _M_state; }

    protected:
      int
      sync()
      { return _M_buf && _M_conv_put() && !_M_buf->pubsync() ? 0 : -1; }

      typename _Wide_streambuf::int_type
      overflow(typename _Wide_streambuf::int_type __out)
      {
 if (!_M_buf || !_M_conv_put())
   return _Tr::eof();
 else if (!_Tr::eq_int_type(__out, _Tr::eof()))
   return this->sputc(__out);
 return _Tr::not_eof(__out);
      }

      typename _Wide_streambuf::int_type
      underflow()
      {
 if (!_M_buf)
   return _Tr::eof();

 if (this->gptr() < this->egptr() || (_M_buf && _M_conv_get()))
   return _Tr::to_int_type(*this->gptr());
 else
   return _Tr::eof();
      }

      streamsize
      xsputn(const typename _Wide_streambuf::char_type* __s, streamsize __n)
      {
 if (!_M_buf || __n == 0)
   return 0;
 streamsize __done = 0;
 do
 {
   auto __nn = std::min<streamsize>(this->epptr() - this->pptr(),
        __n - __done);
   _Tr::copy(this->pptr(), __s + __done, __nn);
   this->pbump(__nn);
   __done += __nn;
 } while (__done < __n && _M_conv_put());
 return __done;
      }

    private:

      bool
      _M_conv_get()
      {
 const streamsize __pb1 = this->gptr() - this->eback();
 const streamsize __pb2 = _S_putback_length;
 const streamsize __npb = std::min(__pb1, __pb2);

 _Tr::move(_M_get_area + _S_putback_length - __npb,
    this->gptr() - __npb, __npb);

 streamsize __nbytes = sizeof(_M_get_buf) - _M_unconv;
 __nbytes = std::min(__nbytes, _M_buf->in_avail());
 if (__nbytes < 1)
   __nbytes = 1;
 __nbytes = _M_buf->sgetn(_M_get_buf + _M_unconv, __nbytes);
 if (__nbytes < 1)
   return false;
 __nbytes += _M_unconv;



 _Elem* __outbuf = _M_get_area + _S_putback_length;
 _Elem* __outnext = __outbuf;
 const char* __bnext = _M_get_buf;

 codecvt_base::result __result;
 if (_M_always_noconv)
   __result = codecvt_base::noconv;
 else
   {
     _Elem* __outend = _M_get_area + _S_buffer_length;

     __result = _M_cvt->in(_M_state,
      __bnext, __bnext + __nbytes, __bnext,
      __outbuf, __outend, __outnext);
   }

 if (__result == codecvt_base::noconv)
   {

     auto __get_buf = reinterpret_cast<const _Elem*>(_M_get_buf);
     _Tr::copy(__outbuf, __get_buf, __nbytes);
     _M_unconv = 0;
     return true;
   }

 if ((_M_unconv = _M_get_buf + __nbytes - __bnext))
   char_traits<char>::move(_M_get_buf, __bnext, _M_unconv);

 this->setg(__outbuf, __outbuf, __outnext);

 return __result != codecvt_base::error;
      }


      bool
      _M_put(...)
      { return false; }

      bool
      _M_put(const char* __p, streamsize __n)
      {
 if (_M_buf->sputn(__p, __n) < __n)
   return false;
 return true;
      }


      bool
      _M_conv_put()
      {
 _Elem* const __first = this->pbase();
 const _Elem* const __last = this->pptr();
 const streamsize __pending = __last - __first;

 if (_M_always_noconv)
   return _M_put(__first, __pending);

 char __outbuf[2 * _S_buffer_length];

 const _Elem* __next = __first;
 const _Elem* __start;
 do
   {
     __start = __next;
     char* __outnext = __outbuf;
     char* const __outlast = __outbuf + sizeof(__outbuf);
     auto __result = _M_cvt->out(_M_state, __next, __last, __next,
     __outnext, __outlast, __outnext);
     if (__result == codecvt_base::error)
       return false;
     else if (__result == codecvt_base::noconv)
       return _M_put(__next, __pending);

     if (!_M_put(__outbuf, __outnext - __outbuf))
       return false;
   }
 while (__next != __last && __next != __start);

 if (__next != __last)
   _Tr::move(__first, __next, __last - __next);

 this->pbump(__first - __next);
 return __next != __first;
      }

      streambuf* _M_buf;
      __detail::_Scoped_ptr<_Codecvt> _M_cvt;
      state_type _M_state;

      static const streamsize _S_buffer_length = 32;
      static const streamsize _S_putback_length = 3;
      _Elem _M_put_area[_S_buffer_length];
      _Elem _M_get_area[_S_buffer_length];
      streamsize _M_unconv = 0;
      char _M_get_buf[_S_buffer_length-_S_putback_length];
      bool _M_always_noconv;
    };




}
# 46 "/usr/include/c++/13/locale" 2 3
# 30 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2
# 1 "/usr/include/c++/13/cmath" 1 3
# 39 "/usr/include/c++/13/cmath" 3
       
# 40 "/usr/include/c++/13/cmath" 3







# 1 "/usr/include/math.h" 1 3 4
# 27 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/math.h" 2 3 4






extern "C" {





# 1 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 1 3 4
# 26 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libm-simd-decl-stubs.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 2 3 4
# 96 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 3 4
typedef __Float32x4_t __f32x4_t;
typedef __Float64x2_t __f64x2_t;
# 106 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 3 4
typedef __SVFloat32_t __sv_f32_t;
typedef __SVFloat64_t __sv_f64_t;
typedef __SVBool_t __sv_bool_t;
# 118 "/usr/include/aarch64-linux-gnu/bits/math-vector.h" 3 4
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4vv_atan2f (__f32x4_t, __f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_acosf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_asinf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_atanf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_expf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_exp10f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_exp2f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_expm1f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_logf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log10f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log1pf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log2f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_sinf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_tanf (__f32x4_t);

__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2vv_atan2 (__f64x2_t, __f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_acos (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_asin (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_atan (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_cos (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp10 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp2 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_expm1 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log10 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log1p (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log2 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_sin (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_tan (__f64x2_t);






__sv_f32_t _ZGVsMxvv_atan2f (__sv_f32_t, __sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_acosf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_asinf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_atanf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_cosf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_expf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp2f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_expm1f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_logf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log1pf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log2f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_sinf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_tanf (__sv_f32_t, __sv_bool_t);

__sv_f64_t _ZGVsMxvv_atan2 (__sv_f64_t, __sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_acos (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_asin (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_atan (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_cos (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp2 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_expm1 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log1p (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log2 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_sin (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_tan (__sv_f64_t, __sv_bool_t);
# 41 "/usr/include/math.h" 2 3 4
# 152 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/flt-eval-method.h" 1 3 4
# 153 "/usr/include/math.h" 2 3 4
# 163 "/usr/include/math.h" 3 4
typedef float float_t;
typedef double double_t;
# 204 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/fp-logb.h" 1 3 4
# 205 "/usr/include/math.h" 2 3 4
# 247 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/fp-fast.h" 1 3 4
# 248 "/usr/include/math.h" 2 3 4



enum
  {
    FP_INT_UPWARD =

      0,
    FP_INT_DOWNWARD =

      1,
    FP_INT_TOWARDZERO =

      2,
    FP_INT_TONEARESTFROMZERO =

      3,
    FP_INT_TONEAREST =

      4,
  };
# 312 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassify (double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbit (double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinf (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnan (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsig (double __x, double __y) noexcept (true);


extern int __issignaling (double __value) noexcept (true)
     __attribute__ ((__const__));
# 313 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern double acos (double __x) noexcept (true); extern double __acos (double __x) noexcept (true);

 extern double asin (double __x) noexcept (true); extern double __asin (double __x) noexcept (true);

 extern double atan (double __x) noexcept (true); extern double __atan (double __x) noexcept (true);

 extern double atan2 (double __y, double __x) noexcept (true); extern double __atan2 (double __y, double __x) noexcept (true);


 extern double cos (double __x) noexcept (true); extern double __cos (double __x) noexcept (true);

 extern double sin (double __x) noexcept (true); extern double __sin (double __x) noexcept (true);

 extern double tan (double __x) noexcept (true); extern double __tan (double __x) noexcept (true);




 extern double cosh (double __x) noexcept (true); extern double __cosh (double __x) noexcept (true);

 extern double sinh (double __x) noexcept (true); extern double __sinh (double __x) noexcept (true);

 extern double tanh (double __x) noexcept (true); extern double __tanh (double __x) noexcept (true);



 extern void sincos (double __x, double *__sinx, double *__cosx) noexcept (true); extern void __sincos (double __x, double *__sinx, double *__cosx) noexcept (true)
                                                        ;




 extern double acosh (double __x) noexcept (true); extern double __acosh (double __x) noexcept (true);

 extern double asinh (double __x) noexcept (true); extern double __asinh (double __x) noexcept (true);

 extern double atanh (double __x) noexcept (true); extern double __atanh (double __x) noexcept (true);





 extern double exp (double __x) noexcept (true); extern double __exp (double __x) noexcept (true);


extern double frexp (double __x, int *__exponent) noexcept (true); extern double __frexp (double __x, int *__exponent) noexcept (true);


extern double ldexp (double __x, int __exponent) noexcept (true); extern double __ldexp (double __x, int __exponent) noexcept (true);


 extern double log (double __x) noexcept (true); extern double __log (double __x) noexcept (true);


 extern double log10 (double __x) noexcept (true); extern double __log10 (double __x) noexcept (true);


extern double modf (double __x, double *__iptr) noexcept (true); extern double __modf (double __x, double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern double exp10 (double __x) noexcept (true); extern double __exp10 (double __x) noexcept (true);




 extern double expm1 (double __x) noexcept (true); extern double __expm1 (double __x) noexcept (true);


 extern double log1p (double __x) noexcept (true); extern double __log1p (double __x) noexcept (true);


extern double logb (double __x) noexcept (true); extern double __logb (double __x) noexcept (true);




 extern double exp2 (double __x) noexcept (true); extern double __exp2 (double __x) noexcept (true);


 extern double log2 (double __x) noexcept (true); extern double __log2 (double __x) noexcept (true);






 extern double pow (double __x, double __y) noexcept (true); extern double __pow (double __x, double __y) noexcept (true);


extern double sqrt (double __x) noexcept (true); extern double __sqrt (double __x) noexcept (true);



 extern double hypot (double __x, double __y) noexcept (true); extern double __hypot (double __x, double __y) noexcept (true);




 extern double cbrt (double __x) noexcept (true); extern double __cbrt (double __x) noexcept (true);






extern double ceil (double __x) noexcept (true) __attribute__ ((__const__)); extern double __ceil (double __x) noexcept (true) __attribute__ ((__const__));


extern double fabs (double __x) noexcept (true) __attribute__ ((__const__)); extern double __fabs (double __x) noexcept (true) __attribute__ ((__const__));


extern double floor (double __x) noexcept (true) __attribute__ ((__const__)); extern double __floor (double __x) noexcept (true) __attribute__ ((__const__));


extern double fmod (double __x, double __y) noexcept (true); extern double __fmod (double __x, double __y) noexcept (true);
# 183 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern int finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern double drem (double __x, double __y) noexcept (true); extern double __drem (double __x, double __y) noexcept (true);



extern double significand (double __x) noexcept (true); extern double __significand (double __x) noexcept (true);






extern double copysign (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __copysign (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double nan (const char *__tagb) noexcept (true); extern double __nan (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern double j0 (double) noexcept (true); extern double __j0 (double) noexcept (true);
extern double j1 (double) noexcept (true); extern double __j1 (double) noexcept (true);
extern double jn (int, double) noexcept (true); extern double __jn (int, double) noexcept (true);
extern double y0 (double) noexcept (true); extern double __y0 (double) noexcept (true);
extern double y1 (double) noexcept (true); extern double __y1 (double) noexcept (true);
extern double yn (int, double) noexcept (true); extern double __yn (int, double) noexcept (true);





 extern double erf (double) noexcept (true); extern double __erf (double) noexcept (true);
 extern double erfc (double) noexcept (true); extern double __erfc (double) noexcept (true);
extern double lgamma (double) noexcept (true); extern double __lgamma (double) noexcept (true);




extern double tgamma (double) noexcept (true); extern double __tgamma (double) noexcept (true);





extern double gamma (double) noexcept (true); extern double __gamma (double) noexcept (true);







extern double lgamma_r (double, int *__signgamp) noexcept (true); extern double __lgamma_r (double, int *__signgamp) noexcept (true);






extern double rint (double __x) noexcept (true); extern double __rint (double __x) noexcept (true);


extern double nextafter (double __x, double __y) noexcept (true); extern double __nextafter (double __x, double __y) noexcept (true);

extern double nexttoward (double __x, long double __y) noexcept (true); extern double __nexttoward (double __x, long double __y) noexcept (true);




extern double nextdown (double __x) noexcept (true); extern double __nextdown (double __x) noexcept (true);

extern double nextup (double __x) noexcept (true); extern double __nextup (double __x) noexcept (true);



extern double remainder (double __x, double __y) noexcept (true); extern double __remainder (double __x, double __y) noexcept (true);



extern double scalbn (double __x, int __n) noexcept (true); extern double __scalbn (double __x, int __n) noexcept (true);



extern int ilogb (double __x) noexcept (true); extern int __ilogb (double __x) noexcept (true);




extern long int llogb (double __x) noexcept (true); extern long int __llogb (double __x) noexcept (true);




extern double scalbln (double __x, long int __n) noexcept (true); extern double __scalbln (double __x, long int __n) noexcept (true);



extern double nearbyint (double __x) noexcept (true); extern double __nearbyint (double __x) noexcept (true);



extern double round (double __x) noexcept (true) __attribute__ ((__const__)); extern double __round (double __x) noexcept (true) __attribute__ ((__const__));



extern double trunc (double __x) noexcept (true) __attribute__ ((__const__)); extern double __trunc (double __x) noexcept (true) __attribute__ ((__const__));




extern double remquo (double __x, double __y, int *__quo) noexcept (true); extern double __remquo (double __x, double __y, int *__quo) noexcept (true);






extern long int lrint (double __x) noexcept (true); extern long int __lrint (double __x) noexcept (true);
__extension__
extern long long int llrint (double __x) noexcept (true); extern long long int __llrint (double __x) noexcept (true);



extern long int lround (double __x) noexcept (true); extern long int __lround (double __x) noexcept (true);
__extension__
extern long long int llround (double __x) noexcept (true); extern long long int __llround (double __x) noexcept (true);



extern double fdim (double __x, double __y) noexcept (true); extern double __fdim (double __x, double __y) noexcept (true);



extern double fmax (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmax (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmin (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmin (double __x, double __y) noexcept (true) __attribute__ ((__const__));



extern double fma (double __x, double __y, double __z) noexcept (true); extern double __fma (double __x, double __y, double __z) noexcept (true);




extern double roundeven (double __x) noexcept (true) __attribute__ ((__const__)); extern double __roundeven (double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfp (double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfp (double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalize (double *__cx, const double *__x) noexcept (true);






extern double fmaxmag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaxmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminmag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double fmaximum (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorder (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermag (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern double getpayload (const double *__x) noexcept (true); extern double __getpayload (const double *__x) noexcept (true);


extern int setpayload (double *__x, double __payload) noexcept (true);


extern int setpayloadsig (double *__x, double __payload) noexcept (true);







extern double scalb (double __x, double __n) noexcept (true); extern double __scalb (double __x, double __n) noexcept (true);
# 314 "/usr/include/math.h" 2 3 4
# 329 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyf (float __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitf (float __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinff (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigf (float __x, float __y) noexcept (true);


extern int __issignalingf (float __value) noexcept (true)
     __attribute__ ((__const__));
# 330 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern float acosf (float __x) noexcept (true); extern float __acosf (float __x) noexcept (true);

 extern float asinf (float __x) noexcept (true); extern float __asinf (float __x) noexcept (true);

 extern float atanf (float __x) noexcept (true); extern float __atanf (float __x) noexcept (true);

 extern float atan2f (float __y, float __x) noexcept (true); extern float __atan2f (float __y, float __x) noexcept (true);


 extern float cosf (float __x) noexcept (true); extern float __cosf (float __x) noexcept (true);

 extern float sinf (float __x) noexcept (true); extern float __sinf (float __x) noexcept (true);

 extern float tanf (float __x) noexcept (true); extern float __tanf (float __x) noexcept (true);




 extern float coshf (float __x) noexcept (true); extern float __coshf (float __x) noexcept (true);

 extern float sinhf (float __x) noexcept (true); extern float __sinhf (float __x) noexcept (true);

 extern float tanhf (float __x) noexcept (true); extern float __tanhf (float __x) noexcept (true);



 extern void sincosf (float __x, float *__sinx, float *__cosx) noexcept (true); extern void __sincosf (float __x, float *__sinx, float *__cosx) noexcept (true)
                                                        ;




 extern float acoshf (float __x) noexcept (true); extern float __acoshf (float __x) noexcept (true);

 extern float asinhf (float __x) noexcept (true); extern float __asinhf (float __x) noexcept (true);

 extern float atanhf (float __x) noexcept (true); extern float __atanhf (float __x) noexcept (true);





 extern float expf (float __x) noexcept (true); extern float __expf (float __x) noexcept (true);


extern float frexpf (float __x, int *__exponent) noexcept (true); extern float __frexpf (float __x, int *__exponent) noexcept (true);


extern float ldexpf (float __x, int __exponent) noexcept (true); extern float __ldexpf (float __x, int __exponent) noexcept (true);


 extern float logf (float __x) noexcept (true); extern float __logf (float __x) noexcept (true);


 extern float log10f (float __x) noexcept (true); extern float __log10f (float __x) noexcept (true);


extern float modff (float __x, float *__iptr) noexcept (true); extern float __modff (float __x, float *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern float exp10f (float __x) noexcept (true); extern float __exp10f (float __x) noexcept (true);




 extern float expm1f (float __x) noexcept (true); extern float __expm1f (float __x) noexcept (true);


 extern float log1pf (float __x) noexcept (true); extern float __log1pf (float __x) noexcept (true);


extern float logbf (float __x) noexcept (true); extern float __logbf (float __x) noexcept (true);




 extern float exp2f (float __x) noexcept (true); extern float __exp2f (float __x) noexcept (true);


 extern float log2f (float __x) noexcept (true); extern float __log2f (float __x) noexcept (true);






 extern float powf (float __x, float __y) noexcept (true); extern float __powf (float __x, float __y) noexcept (true);


extern float sqrtf (float __x) noexcept (true); extern float __sqrtf (float __x) noexcept (true);



 extern float hypotf (float __x, float __y) noexcept (true); extern float __hypotf (float __x, float __y) noexcept (true);




 extern float cbrtf (float __x) noexcept (true); extern float __cbrtf (float __x) noexcept (true);






extern float ceilf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __ceilf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fabsf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __fabsf (float __x) noexcept (true) __attribute__ ((__const__));


extern float floorf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __floorf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fmodf (float __x, float __y) noexcept (true); extern float __fmodf (float __x, float __y) noexcept (true);
# 177 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinff (float __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern float dremf (float __x, float __y) noexcept (true); extern float __dremf (float __x, float __y) noexcept (true);



extern float significandf (float __x) noexcept (true); extern float __significandf (float __x) noexcept (true);






extern float copysignf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float nanf (const char *__tagb) noexcept (true); extern float __nanf (const char *__tagb) noexcept (true);
# 213 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));





extern float j0f (float) noexcept (true); extern float __j0f (float) noexcept (true);
extern float j1f (float) noexcept (true); extern float __j1f (float) noexcept (true);
extern float jnf (int, float) noexcept (true); extern float __jnf (int, float) noexcept (true);
extern float y0f (float) noexcept (true); extern float __y0f (float) noexcept (true);
extern float y1f (float) noexcept (true); extern float __y1f (float) noexcept (true);
extern float ynf (int, float) noexcept (true); extern float __ynf (int, float) noexcept (true);





 extern float erff (float) noexcept (true); extern float __erff (float) noexcept (true);
 extern float erfcf (float) noexcept (true); extern float __erfcf (float) noexcept (true);
extern float lgammaf (float) noexcept (true); extern float __lgammaf (float) noexcept (true);




extern float tgammaf (float) noexcept (true); extern float __tgammaf (float) noexcept (true);





extern float gammaf (float) noexcept (true); extern float __gammaf (float) noexcept (true);







extern float lgammaf_r (float, int *__signgamp) noexcept (true); extern float __lgammaf_r (float, int *__signgamp) noexcept (true);






extern float rintf (float __x) noexcept (true); extern float __rintf (float __x) noexcept (true);


extern float nextafterf (float __x, float __y) noexcept (true); extern float __nextafterf (float __x, float __y) noexcept (true);

extern float nexttowardf (float __x, long double __y) noexcept (true); extern float __nexttowardf (float __x, long double __y) noexcept (true);




extern float nextdownf (float __x) noexcept (true); extern float __nextdownf (float __x) noexcept (true);

extern float nextupf (float __x) noexcept (true); extern float __nextupf (float __x) noexcept (true);



extern float remainderf (float __x, float __y) noexcept (true); extern float __remainderf (float __x, float __y) noexcept (true);



extern float scalbnf (float __x, int __n) noexcept (true); extern float __scalbnf (float __x, int __n) noexcept (true);



extern int ilogbf (float __x) noexcept (true); extern int __ilogbf (float __x) noexcept (true);




extern long int llogbf (float __x) noexcept (true); extern long int __llogbf (float __x) noexcept (true);




extern float scalblnf (float __x, long int __n) noexcept (true); extern float __scalblnf (float __x, long int __n) noexcept (true);



extern float nearbyintf (float __x) noexcept (true); extern float __nearbyintf (float __x) noexcept (true);



extern float roundf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __roundf (float __x) noexcept (true) __attribute__ ((__const__));



extern float truncf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __truncf (float __x) noexcept (true) __attribute__ ((__const__));




extern float remquof (float __x, float __y, int *__quo) noexcept (true); extern float __remquof (float __x, float __y, int *__quo) noexcept (true);






extern long int lrintf (float __x) noexcept (true); extern long int __lrintf (float __x) noexcept (true);
__extension__
extern long long int llrintf (float __x) noexcept (true); extern long long int __llrintf (float __x) noexcept (true);



extern long int lroundf (float __x) noexcept (true); extern long int __lroundf (float __x) noexcept (true);
__extension__
extern long long int llroundf (float __x) noexcept (true); extern long long int __llroundf (float __x) noexcept (true);



extern float fdimf (float __x, float __y) noexcept (true); extern float __fdimf (float __x, float __y) noexcept (true);



extern float fmaxf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaxf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminf (float __x, float __y) noexcept (true) __attribute__ ((__const__));



extern float fmaf (float __x, float __y, float __z) noexcept (true); extern float __fmaf (float __x, float __y, float __z) noexcept (true);




extern float roundevenf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __roundevenf (float __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef (float *__cx, const float *__x) noexcept (true);






extern float fmaxmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaxmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float fmaximumf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimumf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern float getpayloadf (const float *__x) noexcept (true); extern float __getpayloadf (const float *__x) noexcept (true);


extern int setpayloadf (float *__x, float __payload) noexcept (true);


extern int setpayloadsigf (float *__x, float __payload) noexcept (true);







extern float scalbf (float __x, float __n) noexcept (true); extern float __scalbf (float __x, float __n) noexcept (true);
# 331 "/usr/include/math.h" 2 3 4
# 398 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/aarch64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyl (long double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitl (long double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigl (long double __x, long double __y) noexcept (true);


extern int __issignalingl (long double __value) noexcept (true)
     __attribute__ ((__const__));
# 399 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern long double acosl (long double __x) noexcept (true); extern long double __acosl (long double __x) noexcept (true);

 extern long double asinl (long double __x) noexcept (true); extern long double __asinl (long double __x) noexcept (true);

 extern long double atanl (long double __x) noexcept (true); extern long double __atanl (long double __x) noexcept (true);

 extern long double atan2l (long double __y, long double __x) noexcept (true); extern long double __atan2l (long double __y, long double __x) noexcept (true);


 extern long double cosl (long double __x) noexcept (true); extern long double __cosl (long double __x) noexcept (true);

 extern long double sinl (long double __x) noexcept (true); extern long double __sinl (long double __x) noexcept (true);

 extern long double tanl (long double __x) noexcept (true); extern long double __tanl (long double __x) noexcept (true);




 extern long double coshl (long double __x) noexcept (true); extern long double __coshl (long double __x) noexcept (true);

 extern long double sinhl (long double __x) noexcept (true); extern long double __sinhl (long double __x) noexcept (true);

 extern long double tanhl (long double __x) noexcept (true); extern long double __tanhl (long double __x) noexcept (true);



 extern void sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true)
                                                        ;




 extern long double acoshl (long double __x) noexcept (true); extern long double __acoshl (long double __x) noexcept (true);

 extern long double asinhl (long double __x) noexcept (true); extern long double __asinhl (long double __x) noexcept (true);

 extern long double atanhl (long double __x) noexcept (true); extern long double __atanhl (long double __x) noexcept (true);





 extern long double expl (long double __x) noexcept (true); extern long double __expl (long double __x) noexcept (true);


extern long double frexpl (long double __x, int *__exponent) noexcept (true); extern long double __frexpl (long double __x, int *__exponent) noexcept (true);


extern long double ldexpl (long double __x, int __exponent) noexcept (true); extern long double __ldexpl (long double __x, int __exponent) noexcept (true);


 extern long double logl (long double __x) noexcept (true); extern long double __logl (long double __x) noexcept (true);


 extern long double log10l (long double __x) noexcept (true); extern long double __log10l (long double __x) noexcept (true);


extern long double modfl (long double __x, long double *__iptr) noexcept (true); extern long double __modfl (long double __x, long double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern long double exp10l (long double __x) noexcept (true); extern long double __exp10l (long double __x) noexcept (true);




 extern long double expm1l (long double __x) noexcept (true); extern long double __expm1l (long double __x) noexcept (true);


 extern long double log1pl (long double __x) noexcept (true); extern long double __log1pl (long double __x) noexcept (true);


extern long double logbl (long double __x) noexcept (true); extern long double __logbl (long double __x) noexcept (true);




 extern long double exp2l (long double __x) noexcept (true); extern long double __exp2l (long double __x) noexcept (true);


 extern long double log2l (long double __x) noexcept (true); extern long double __log2l (long double __x) noexcept (true);






 extern long double powl (long double __x, long double __y) noexcept (true); extern long double __powl (long double __x, long double __y) noexcept (true);


extern long double sqrtl (long double __x) noexcept (true); extern long double __sqrtl (long double __x) noexcept (true);



 extern long double hypotl (long double __x, long double __y) noexcept (true); extern long double __hypotl (long double __x, long double __y) noexcept (true);




 extern long double cbrtl (long double __x) noexcept (true); extern long double __cbrtl (long double __x) noexcept (true);






extern long double ceill (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __ceill (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fabsl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __fabsl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double floorl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __floorl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fmodl (long double __x, long double __y) noexcept (true); extern long double __fmodl (long double __x, long double __y) noexcept (true);
# 177 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern long double dreml (long double __x, long double __y) noexcept (true); extern long double __dreml (long double __x, long double __y) noexcept (true);



extern long double significandl (long double __x) noexcept (true); extern long double __significandl (long double __x) noexcept (true);






extern long double copysignl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __copysignl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double nanl (const char *__tagb) noexcept (true); extern long double __nanl (const char *__tagb) noexcept (true);
# 213 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));





extern long double j0l (long double) noexcept (true); extern long double __j0l (long double) noexcept (true);
extern long double j1l (long double) noexcept (true); extern long double __j1l (long double) noexcept (true);
extern long double jnl (int, long double) noexcept (true); extern long double __jnl (int, long double) noexcept (true);
extern long double y0l (long double) noexcept (true); extern long double __y0l (long double) noexcept (true);
extern long double y1l (long double) noexcept (true); extern long double __y1l (long double) noexcept (true);
extern long double ynl (int, long double) noexcept (true); extern long double __ynl (int, long double) noexcept (true);





 extern long double erfl (long double) noexcept (true); extern long double __erfl (long double) noexcept (true);
 extern long double erfcl (long double) noexcept (true); extern long double __erfcl (long double) noexcept (true);
extern long double lgammal (long double) noexcept (true); extern long double __lgammal (long double) noexcept (true);




extern long double tgammal (long double) noexcept (true); extern long double __tgammal (long double) noexcept (true);





extern long double gammal (long double) noexcept (true); extern long double __gammal (long double) noexcept (true);







extern long double lgammal_r (long double, int *__signgamp) noexcept (true); extern long double __lgammal_r (long double, int *__signgamp) noexcept (true);






extern long double rintl (long double __x) noexcept (true); extern long double __rintl (long double __x) noexcept (true);


extern long double nextafterl (long double __x, long double __y) noexcept (true); extern long double __nextafterl (long double __x, long double __y) noexcept (true);

extern long double nexttowardl (long double __x, long double __y) noexcept (true); extern long double __nexttowardl (long double __x, long double __y) noexcept (true);




extern long double nextdownl (long double __x) noexcept (true); extern long double __nextdownl (long double __x) noexcept (true);

extern long double nextupl (long double __x) noexcept (true); extern long double __nextupl (long double __x) noexcept (true);



extern long double remainderl (long double __x, long double __y) noexcept (true); extern long double __remainderl (long double __x, long double __y) noexcept (true);



extern long double scalbnl (long double __x, int __n) noexcept (true); extern long double __scalbnl (long double __x, int __n) noexcept (true);



extern int ilogbl (long double __x) noexcept (true); extern int __ilogbl (long double __x) noexcept (true);




extern long int llogbl (long double __x) noexcept (true); extern long int __llogbl (long double __x) noexcept (true);




extern long double scalblnl (long double __x, long int __n) noexcept (true); extern long double __scalblnl (long double __x, long int __n) noexcept (true);



extern long double nearbyintl (long double __x) noexcept (true); extern long double __nearbyintl (long double __x) noexcept (true);



extern long double roundl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __roundl (long double __x) noexcept (true) __attribute__ ((__const__));



extern long double truncl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __truncl (long double __x) noexcept (true) __attribute__ ((__const__));




extern long double remquol (long double __x, long double __y, int *__quo) noexcept (true); extern long double __remquol (long double __x, long double __y, int *__quo) noexcept (true);






extern long int lrintl (long double __x) noexcept (true); extern long int __lrintl (long double __x) noexcept (true);
__extension__
extern long long int llrintl (long double __x) noexcept (true); extern long long int __llrintl (long double __x) noexcept (true);



extern long int lroundl (long double __x) noexcept (true); extern long int __lroundl (long double __x) noexcept (true);
__extension__
extern long long int llroundl (long double __x) noexcept (true); extern long long int __llroundl (long double __x) noexcept (true);



extern long double fdiml (long double __x, long double __y) noexcept (true); extern long double __fdiml (long double __x, long double __y) noexcept (true);



extern long double fmaxl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaxl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));



extern long double fmal (long double __x, long double __y, long double __z) noexcept (true); extern long double __fmal (long double __x, long double __y, long double __z) noexcept (true);




extern long double roundevenl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __roundevenl (long double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizel (long double *__cx, const long double *__x) noexcept (true);






extern long double fmaxmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaxmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double fmaximuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern long double getpayloadl (const long double *__x) noexcept (true); extern long double __getpayloadl (const long double *__x) noexcept (true);


extern int setpayloadl (long double *__x, long double __payload) noexcept (true);


extern int setpayloadsigl (long double *__x, long double __payload) noexcept (true);







extern long double scalbl (long double __x, long double __n) noexcept (true); extern long double __scalbl (long double __x, long double __n) noexcept (true);
# 400 "/usr/include/math.h" 2 3 4
# 450 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float32 acosf32 (_Float32 __x) noexcept (true); extern _Float32 __acosf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinf32 (_Float32 __x) noexcept (true); extern _Float32 __asinf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanf32 (_Float32 __x) noexcept (true); extern _Float32 __atanf32 (_Float32 __x) noexcept (true);

 extern _Float32 atan2f32 (_Float32 __y, _Float32 __x) noexcept (true); extern _Float32 __atan2f32 (_Float32 __y, _Float32 __x) noexcept (true);


 extern _Float32 cosf32 (_Float32 __x) noexcept (true); extern _Float32 __cosf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinf32 (_Float32 __x) noexcept (true); extern _Float32 __sinf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanf32 (_Float32 __x) noexcept (true); extern _Float32 __tanf32 (_Float32 __x) noexcept (true);




 extern _Float32 coshf32 (_Float32 __x) noexcept (true); extern _Float32 __coshf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinhf32 (_Float32 __x) noexcept (true); extern _Float32 __sinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanhf32 (_Float32 __x) noexcept (true); extern _Float32 __tanhf32 (_Float32 __x) noexcept (true);



 extern void sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true); extern void __sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true)
                                                        ;




 extern _Float32 acoshf32 (_Float32 __x) noexcept (true); extern _Float32 __acoshf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinhf32 (_Float32 __x) noexcept (true); extern _Float32 __asinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanhf32 (_Float32 __x) noexcept (true); extern _Float32 __atanhf32 (_Float32 __x) noexcept (true);





 extern _Float32 expf32 (_Float32 __x) noexcept (true); extern _Float32 __expf32 (_Float32 __x) noexcept (true);


extern _Float32 frexpf32 (_Float32 __x, int *__exponent) noexcept (true); extern _Float32 __frexpf32 (_Float32 __x, int *__exponent) noexcept (true);


extern _Float32 ldexpf32 (_Float32 __x, int __exponent) noexcept (true); extern _Float32 __ldexpf32 (_Float32 __x, int __exponent) noexcept (true);


 extern _Float32 logf32 (_Float32 __x) noexcept (true); extern _Float32 __logf32 (_Float32 __x) noexcept (true);


 extern _Float32 log10f32 (_Float32 __x) noexcept (true); extern _Float32 __log10f32 (_Float32 __x) noexcept (true);


extern _Float32 modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true); extern _Float32 __modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32 exp10f32 (_Float32 __x) noexcept (true); extern _Float32 __exp10f32 (_Float32 __x) noexcept (true);




 extern _Float32 expm1f32 (_Float32 __x) noexcept (true); extern _Float32 __expm1f32 (_Float32 __x) noexcept (true);


 extern _Float32 log1pf32 (_Float32 __x) noexcept (true); extern _Float32 __log1pf32 (_Float32 __x) noexcept (true);


extern _Float32 logbf32 (_Float32 __x) noexcept (true); extern _Float32 __logbf32 (_Float32 __x) noexcept (true);




 extern _Float32 exp2f32 (_Float32 __x) noexcept (true); extern _Float32 __exp2f32 (_Float32 __x) noexcept (true);


 extern _Float32 log2f32 (_Float32 __x) noexcept (true); extern _Float32 __log2f32 (_Float32 __x) noexcept (true);






 extern _Float32 powf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __powf32 (_Float32 __x, _Float32 __y) noexcept (true);


extern _Float32 sqrtf32 (_Float32 __x) noexcept (true); extern _Float32 __sqrtf32 (_Float32 __x) noexcept (true);



 extern _Float32 hypotf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __hypotf32 (_Float32 __x, _Float32 __y) noexcept (true);




 extern _Float32 cbrtf32 (_Float32 __x) noexcept (true); extern _Float32 __cbrtf32 (_Float32 __x) noexcept (true);






extern _Float32 ceilf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __ceilf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fabsf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fabsf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 floorf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __floorf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmodf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fmodf32 (_Float32 __x, _Float32 __y) noexcept (true);
# 198 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 copysignf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __copysignf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 nanf32 (const char *__tagb) noexcept (true); extern _Float32 __nanf32 (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 j0f32 (_Float32) noexcept (true); extern _Float32 __j0f32 (_Float32) noexcept (true);
extern _Float32 j1f32 (_Float32) noexcept (true); extern _Float32 __j1f32 (_Float32) noexcept (true);
extern _Float32 jnf32 (int, _Float32) noexcept (true); extern _Float32 __jnf32 (int, _Float32) noexcept (true);
extern _Float32 y0f32 (_Float32) noexcept (true); extern _Float32 __y0f32 (_Float32) noexcept (true);
extern _Float32 y1f32 (_Float32) noexcept (true); extern _Float32 __y1f32 (_Float32) noexcept (true);
extern _Float32 ynf32 (int, _Float32) noexcept (true); extern _Float32 __ynf32 (int, _Float32) noexcept (true);





 extern _Float32 erff32 (_Float32) noexcept (true); extern _Float32 __erff32 (_Float32) noexcept (true);
 extern _Float32 erfcf32 (_Float32) noexcept (true); extern _Float32 __erfcf32 (_Float32) noexcept (true);
extern _Float32 lgammaf32 (_Float32) noexcept (true); extern _Float32 __lgammaf32 (_Float32) noexcept (true);




extern _Float32 tgammaf32 (_Float32) noexcept (true); extern _Float32 __tgammaf32 (_Float32) noexcept (true);
# 252 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 lgammaf32_r (_Float32, int *__signgamp) noexcept (true); extern _Float32 __lgammaf32_r (_Float32, int *__signgamp) noexcept (true);






extern _Float32 rintf32 (_Float32 __x) noexcept (true); extern _Float32 __rintf32 (_Float32 __x) noexcept (true);


extern _Float32 nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true);






extern _Float32 nextdownf32 (_Float32 __x) noexcept (true); extern _Float32 __nextdownf32 (_Float32 __x) noexcept (true);

extern _Float32 nextupf32 (_Float32 __x) noexcept (true); extern _Float32 __nextupf32 (_Float32 __x) noexcept (true);



extern _Float32 remainderf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __remainderf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 scalbnf32 (_Float32 __x, int __n) noexcept (true); extern _Float32 __scalbnf32 (_Float32 __x, int __n) noexcept (true);



extern int ilogbf32 (_Float32 __x) noexcept (true); extern int __ilogbf32 (_Float32 __x) noexcept (true);




extern long int llogbf32 (_Float32 __x) noexcept (true); extern long int __llogbf32 (_Float32 __x) noexcept (true);




extern _Float32 scalblnf32 (_Float32 __x, long int __n) noexcept (true); extern _Float32 __scalblnf32 (_Float32 __x, long int __n) noexcept (true);



extern _Float32 nearbyintf32 (_Float32 __x) noexcept (true); extern _Float32 __nearbyintf32 (_Float32 __x) noexcept (true);



extern _Float32 roundf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __roundf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern _Float32 truncf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __truncf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));




extern _Float32 remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true); extern _Float32 __remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true);






extern long int lrintf32 (_Float32 __x) noexcept (true); extern long int __lrintf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llrintf32 (_Float32 __x) noexcept (true); extern long long int __llrintf32 (_Float32 __x) noexcept (true);



extern long int lroundf32 (_Float32 __x) noexcept (true); extern long int __lroundf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llroundf32 (_Float32 __x) noexcept (true); extern long long int __llroundf32 (_Float32 __x) noexcept (true);



extern _Float32 fdimf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fdimf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 fmaxf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaxf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));



extern _Float32 fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true); extern _Float32 __fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true);




extern _Float32 roundevenf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __roundevenf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32 (_Float32 *__cx, const _Float32 *__x) noexcept (true);






extern _Float32 fmaxmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaxmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 fmaximumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32 getpayloadf32 (const _Float32 *__x) noexcept (true); extern _Float32 __getpayloadf32 (const _Float32 *__x) noexcept (true);


extern int setpayloadf32 (_Float32 *__x, _Float32 __payload) noexcept (true);


extern int setpayloadsigf32 (_Float32 *__x, _Float32 __payload) noexcept (true);
# 451 "/usr/include/math.h" 2 3 4
# 467 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float64 acosf64 (_Float64 __x) noexcept (true); extern _Float64 __acosf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinf64 (_Float64 __x) noexcept (true); extern _Float64 __asinf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanf64 (_Float64 __x) noexcept (true); extern _Float64 __atanf64 (_Float64 __x) noexcept (true);

 extern _Float64 atan2f64 (_Float64 __y, _Float64 __x) noexcept (true); extern _Float64 __atan2f64 (_Float64 __y, _Float64 __x) noexcept (true);


 extern _Float64 cosf64 (_Float64 __x) noexcept (true); extern _Float64 __cosf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinf64 (_Float64 __x) noexcept (true); extern _Float64 __sinf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanf64 (_Float64 __x) noexcept (true); extern _Float64 __tanf64 (_Float64 __x) noexcept (true);




 extern _Float64 coshf64 (_Float64 __x) noexcept (true); extern _Float64 __coshf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinhf64 (_Float64 __x) noexcept (true); extern _Float64 __sinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanhf64 (_Float64 __x) noexcept (true); extern _Float64 __tanhf64 (_Float64 __x) noexcept (true);



 extern void sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true); extern void __sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true)
                                                        ;




 extern _Float64 acoshf64 (_Float64 __x) noexcept (true); extern _Float64 __acoshf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinhf64 (_Float64 __x) noexcept (true); extern _Float64 __asinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanhf64 (_Float64 __x) noexcept (true); extern _Float64 __atanhf64 (_Float64 __x) noexcept (true);





 extern _Float64 expf64 (_Float64 __x) noexcept (true); extern _Float64 __expf64 (_Float64 __x) noexcept (true);


extern _Float64 frexpf64 (_Float64 __x, int *__exponent) noexcept (true); extern _Float64 __frexpf64 (_Float64 __x, int *__exponent) noexcept (true);


extern _Float64 ldexpf64 (_Float64 __x, int __exponent) noexcept (true); extern _Float64 __ldexpf64 (_Float64 __x, int __exponent) noexcept (true);


 extern _Float64 logf64 (_Float64 __x) noexcept (true); extern _Float64 __logf64 (_Float64 __x) noexcept (true);


 extern _Float64 log10f64 (_Float64 __x) noexcept (true); extern _Float64 __log10f64 (_Float64 __x) noexcept (true);


extern _Float64 modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true); extern _Float64 __modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64 exp10f64 (_Float64 __x) noexcept (true); extern _Float64 __exp10f64 (_Float64 __x) noexcept (true);




 extern _Float64 expm1f64 (_Float64 __x) noexcept (true); extern _Float64 __expm1f64 (_Float64 __x) noexcept (true);


 extern _Float64 log1pf64 (_Float64 __x) noexcept (true); extern _Float64 __log1pf64 (_Float64 __x) noexcept (true);


extern _Float64 logbf64 (_Float64 __x) noexcept (true); extern _Float64 __logbf64 (_Float64 __x) noexcept (true);




 extern _Float64 exp2f64 (_Float64 __x) noexcept (true); extern _Float64 __exp2f64 (_Float64 __x) noexcept (true);


 extern _Float64 log2f64 (_Float64 __x) noexcept (true); extern _Float64 __log2f64 (_Float64 __x) noexcept (true);






 extern _Float64 powf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __powf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float64 sqrtf64 (_Float64 __x) noexcept (true); extern _Float64 __sqrtf64 (_Float64 __x) noexcept (true);



 extern _Float64 hypotf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __hypotf64 (_Float64 __x, _Float64 __y) noexcept (true);




 extern _Float64 cbrtf64 (_Float64 __x) noexcept (true); extern _Float64 __cbrtf64 (_Float64 __x) noexcept (true);






extern _Float64 ceilf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __ceilf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fabsf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fabsf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 floorf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __floorf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmodf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fmodf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 198 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 copysignf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __copysignf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 nanf64 (const char *__tagb) noexcept (true); extern _Float64 __nanf64 (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 j0f64 (_Float64) noexcept (true); extern _Float64 __j0f64 (_Float64) noexcept (true);
extern _Float64 j1f64 (_Float64) noexcept (true); extern _Float64 __j1f64 (_Float64) noexcept (true);
extern _Float64 jnf64 (int, _Float64) noexcept (true); extern _Float64 __jnf64 (int, _Float64) noexcept (true);
extern _Float64 y0f64 (_Float64) noexcept (true); extern _Float64 __y0f64 (_Float64) noexcept (true);
extern _Float64 y1f64 (_Float64) noexcept (true); extern _Float64 __y1f64 (_Float64) noexcept (true);
extern _Float64 ynf64 (int, _Float64) noexcept (true); extern _Float64 __ynf64 (int, _Float64) noexcept (true);





 extern _Float64 erff64 (_Float64) noexcept (true); extern _Float64 __erff64 (_Float64) noexcept (true);
 extern _Float64 erfcf64 (_Float64) noexcept (true); extern _Float64 __erfcf64 (_Float64) noexcept (true);
extern _Float64 lgammaf64 (_Float64) noexcept (true); extern _Float64 __lgammaf64 (_Float64) noexcept (true);




extern _Float64 tgammaf64 (_Float64) noexcept (true); extern _Float64 __tgammaf64 (_Float64) noexcept (true);
# 252 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 lgammaf64_r (_Float64, int *__signgamp) noexcept (true); extern _Float64 __lgammaf64_r (_Float64, int *__signgamp) noexcept (true);






extern _Float64 rintf64 (_Float64 __x) noexcept (true); extern _Float64 __rintf64 (_Float64 __x) noexcept (true);


extern _Float64 nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true);






extern _Float64 nextdownf64 (_Float64 __x) noexcept (true); extern _Float64 __nextdownf64 (_Float64 __x) noexcept (true);

extern _Float64 nextupf64 (_Float64 __x) noexcept (true); extern _Float64 __nextupf64 (_Float64 __x) noexcept (true);



extern _Float64 remainderf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __remainderf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 scalbnf64 (_Float64 __x, int __n) noexcept (true); extern _Float64 __scalbnf64 (_Float64 __x, int __n) noexcept (true);



extern int ilogbf64 (_Float64 __x) noexcept (true); extern int __ilogbf64 (_Float64 __x) noexcept (true);




extern long int llogbf64 (_Float64 __x) noexcept (true); extern long int __llogbf64 (_Float64 __x) noexcept (true);




extern _Float64 scalblnf64 (_Float64 __x, long int __n) noexcept (true); extern _Float64 __scalblnf64 (_Float64 __x, long int __n) noexcept (true);



extern _Float64 nearbyintf64 (_Float64 __x) noexcept (true); extern _Float64 __nearbyintf64 (_Float64 __x) noexcept (true);



extern _Float64 roundf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __roundf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern _Float64 truncf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __truncf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));




extern _Float64 remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true); extern _Float64 __remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true);






extern long int lrintf64 (_Float64 __x) noexcept (true); extern long int __lrintf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llrintf64 (_Float64 __x) noexcept (true); extern long long int __llrintf64 (_Float64 __x) noexcept (true);



extern long int lroundf64 (_Float64 __x) noexcept (true); extern long int __lroundf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llroundf64 (_Float64 __x) noexcept (true); extern long long int __llroundf64 (_Float64 __x) noexcept (true);



extern _Float64 fdimf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fdimf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 fmaxf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaxf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));



extern _Float64 fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true); extern _Float64 __fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);




extern _Float64 roundevenf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __roundevenf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64 (_Float64 *__cx, const _Float64 *__x) noexcept (true);






extern _Float64 fmaxmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaxmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 fmaximumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64 getpayloadf64 (const _Float64 *__x) noexcept (true); extern _Float64 __getpayloadf64 (const _Float64 *__x) noexcept (true);


extern int setpayloadf64 (_Float64 *__x, _Float64 __payload) noexcept (true);


extern int setpayloadsigf64 (_Float64 *__x, _Float64 __payload) noexcept (true);
# 468 "/usr/include/math.h" 2 3 4
# 484 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float128 acosf128 (_Float128 __x) noexcept (true); extern _Float128 __acosf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinf128 (_Float128 __x) noexcept (true); extern _Float128 __asinf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanf128 (_Float128 __x) noexcept (true); extern _Float128 __atanf128 (_Float128 __x) noexcept (true);

 extern _Float128 atan2f128 (_Float128 __y, _Float128 __x) noexcept (true); extern _Float128 __atan2f128 (_Float128 __y, _Float128 __x) noexcept (true);


 extern _Float128 cosf128 (_Float128 __x) noexcept (true); extern _Float128 __cosf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinf128 (_Float128 __x) noexcept (true); extern _Float128 __sinf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanf128 (_Float128 __x) noexcept (true); extern _Float128 __tanf128 (_Float128 __x) noexcept (true);




 extern _Float128 coshf128 (_Float128 __x) noexcept (true); extern _Float128 __coshf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinhf128 (_Float128 __x) noexcept (true); extern _Float128 __sinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanhf128 (_Float128 __x) noexcept (true); extern _Float128 __tanhf128 (_Float128 __x) noexcept (true);



 extern void sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true); extern void __sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true)
                                                        ;




 extern _Float128 acoshf128 (_Float128 __x) noexcept (true); extern _Float128 __acoshf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinhf128 (_Float128 __x) noexcept (true); extern _Float128 __asinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanhf128 (_Float128 __x) noexcept (true); extern _Float128 __atanhf128 (_Float128 __x) noexcept (true);





 extern _Float128 expf128 (_Float128 __x) noexcept (true); extern _Float128 __expf128 (_Float128 __x) noexcept (true);


extern _Float128 frexpf128 (_Float128 __x, int *__exponent) noexcept (true); extern _Float128 __frexpf128 (_Float128 __x, int *__exponent) noexcept (true);


extern _Float128 ldexpf128 (_Float128 __x, int __exponent) noexcept (true); extern _Float128 __ldexpf128 (_Float128 __x, int __exponent) noexcept (true);


 extern _Float128 logf128 (_Float128 __x) noexcept (true); extern _Float128 __logf128 (_Float128 __x) noexcept (true);


 extern _Float128 log10f128 (_Float128 __x) noexcept (true); extern _Float128 __log10f128 (_Float128 __x) noexcept (true);


extern _Float128 modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true); extern _Float128 __modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float128 exp10f128 (_Float128 __x) noexcept (true); extern _Float128 __exp10f128 (_Float128 __x) noexcept (true);




 extern _Float128 expm1f128 (_Float128 __x) noexcept (true); extern _Float128 __expm1f128 (_Float128 __x) noexcept (true);


 extern _Float128 log1pf128 (_Float128 __x) noexcept (true); extern _Float128 __log1pf128 (_Float128 __x) noexcept (true);


extern _Float128 logbf128 (_Float128 __x) noexcept (true); extern _Float128 __logbf128 (_Float128 __x) noexcept (true);




 extern _Float128 exp2f128 (_Float128 __x) noexcept (true); extern _Float128 __exp2f128 (_Float128 __x) noexcept (true);


 extern _Float128 log2f128 (_Float128 __x) noexcept (true); extern _Float128 __log2f128 (_Float128 __x) noexcept (true);






 extern _Float128 powf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __powf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float128 sqrtf128 (_Float128 __x) noexcept (true); extern _Float128 __sqrtf128 (_Float128 __x) noexcept (true);



 extern _Float128 hypotf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __hypotf128 (_Float128 __x, _Float128 __y) noexcept (true);




 extern _Float128 cbrtf128 (_Float128 __x) noexcept (true); extern _Float128 __cbrtf128 (_Float128 __x) noexcept (true);






extern _Float128 ceilf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __ceilf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fabsf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fabsf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 floorf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __floorf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmodf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fmodf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 198 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 copysignf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __copysignf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 nanf128 (const char *__tagb) noexcept (true); extern _Float128 __nanf128 (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 j0f128 (_Float128) noexcept (true); extern _Float128 __j0f128 (_Float128) noexcept (true);
extern _Float128 j1f128 (_Float128) noexcept (true); extern _Float128 __j1f128 (_Float128) noexcept (true);
extern _Float128 jnf128 (int, _Float128) noexcept (true); extern _Float128 __jnf128 (int, _Float128) noexcept (true);
extern _Float128 y0f128 (_Float128) noexcept (true); extern _Float128 __y0f128 (_Float128) noexcept (true);
extern _Float128 y1f128 (_Float128) noexcept (true); extern _Float128 __y1f128 (_Float128) noexcept (true);
extern _Float128 ynf128 (int, _Float128) noexcept (true); extern _Float128 __ynf128 (int, _Float128) noexcept (true);





 extern _Float128 erff128 (_Float128) noexcept (true); extern _Float128 __erff128 (_Float128) noexcept (true);
 extern _Float128 erfcf128 (_Float128) noexcept (true); extern _Float128 __erfcf128 (_Float128) noexcept (true);
extern _Float128 lgammaf128 (_Float128) noexcept (true); extern _Float128 __lgammaf128 (_Float128) noexcept (true);




extern _Float128 tgammaf128 (_Float128) noexcept (true); extern _Float128 __tgammaf128 (_Float128) noexcept (true);
# 252 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 lgammaf128_r (_Float128, int *__signgamp) noexcept (true); extern _Float128 __lgammaf128_r (_Float128, int *__signgamp) noexcept (true);






extern _Float128 rintf128 (_Float128 __x) noexcept (true); extern _Float128 __rintf128 (_Float128 __x) noexcept (true);


extern _Float128 nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true);






extern _Float128 nextdownf128 (_Float128 __x) noexcept (true); extern _Float128 __nextdownf128 (_Float128 __x) noexcept (true);

extern _Float128 nextupf128 (_Float128 __x) noexcept (true); extern _Float128 __nextupf128 (_Float128 __x) noexcept (true);



extern _Float128 remainderf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __remainderf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 scalbnf128 (_Float128 __x, int __n) noexcept (true); extern _Float128 __scalbnf128 (_Float128 __x, int __n) noexcept (true);



extern int ilogbf128 (_Float128 __x) noexcept (true); extern int __ilogbf128 (_Float128 __x) noexcept (true);




extern long int llogbf128 (_Float128 __x) noexcept (true); extern long int __llogbf128 (_Float128 __x) noexcept (true);




extern _Float128 scalblnf128 (_Float128 __x, long int __n) noexcept (true); extern _Float128 __scalblnf128 (_Float128 __x, long int __n) noexcept (true);



extern _Float128 nearbyintf128 (_Float128 __x) noexcept (true); extern _Float128 __nearbyintf128 (_Float128 __x) noexcept (true);



extern _Float128 roundf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __roundf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern _Float128 truncf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __truncf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));




extern _Float128 remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true); extern _Float128 __remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true);






extern long int lrintf128 (_Float128 __x) noexcept (true); extern long int __lrintf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llrintf128 (_Float128 __x) noexcept (true); extern long long int __llrintf128 (_Float128 __x) noexcept (true);



extern long int lroundf128 (_Float128 __x) noexcept (true); extern long int __lroundf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llroundf128 (_Float128 __x) noexcept (true); extern long long int __llroundf128 (_Float128 __x) noexcept (true);



extern _Float128 fdimf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fdimf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 fmaxf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaxf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));



extern _Float128 fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true); extern _Float128 __fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);




extern _Float128 roundevenf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __roundevenf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef128 (_Float128 *__cx, const _Float128 *__x) noexcept (true);






extern _Float128 fmaxmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaxmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 fmaximumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float128 getpayloadf128 (const _Float128 *__x) noexcept (true); extern _Float128 __getpayloadf128 (const _Float128 *__x) noexcept (true);


extern int setpayloadf128 (_Float128 *__x, _Float128 __payload) noexcept (true);


extern int setpayloadsigf128 (_Float128 *__x, _Float128 __payload) noexcept (true);
# 485 "/usr/include/math.h" 2 3 4
# 501 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float32x acosf32x (_Float32x __x) noexcept (true); extern _Float32x __acosf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinf32x (_Float32x __x) noexcept (true); extern _Float32x __asinf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanf32x (_Float32x __x) noexcept (true); extern _Float32x __atanf32x (_Float32x __x) noexcept (true);

 extern _Float32x atan2f32x (_Float32x __y, _Float32x __x) noexcept (true); extern _Float32x __atan2f32x (_Float32x __y, _Float32x __x) noexcept (true);


 extern _Float32x cosf32x (_Float32x __x) noexcept (true); extern _Float32x __cosf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinf32x (_Float32x __x) noexcept (true); extern _Float32x __sinf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanf32x (_Float32x __x) noexcept (true); extern _Float32x __tanf32x (_Float32x __x) noexcept (true);




 extern _Float32x coshf32x (_Float32x __x) noexcept (true); extern _Float32x __coshf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinhf32x (_Float32x __x) noexcept (true); extern _Float32x __sinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanhf32x (_Float32x __x) noexcept (true); extern _Float32x __tanhf32x (_Float32x __x) noexcept (true);



 extern void sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true); extern void __sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true)
                                                        ;




 extern _Float32x acoshf32x (_Float32x __x) noexcept (true); extern _Float32x __acoshf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinhf32x (_Float32x __x) noexcept (true); extern _Float32x __asinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanhf32x (_Float32x __x) noexcept (true); extern _Float32x __atanhf32x (_Float32x __x) noexcept (true);





 extern _Float32x expf32x (_Float32x __x) noexcept (true); extern _Float32x __expf32x (_Float32x __x) noexcept (true);


extern _Float32x frexpf32x (_Float32x __x, int *__exponent) noexcept (true); extern _Float32x __frexpf32x (_Float32x __x, int *__exponent) noexcept (true);


extern _Float32x ldexpf32x (_Float32x __x, int __exponent) noexcept (true); extern _Float32x __ldexpf32x (_Float32x __x, int __exponent) noexcept (true);


 extern _Float32x logf32x (_Float32x __x) noexcept (true); extern _Float32x __logf32x (_Float32x __x) noexcept (true);


 extern _Float32x log10f32x (_Float32x __x) noexcept (true); extern _Float32x __log10f32x (_Float32x __x) noexcept (true);


extern _Float32x modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true); extern _Float32x __modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32x exp10f32x (_Float32x __x) noexcept (true); extern _Float32x __exp10f32x (_Float32x __x) noexcept (true);




 extern _Float32x expm1f32x (_Float32x __x) noexcept (true); extern _Float32x __expm1f32x (_Float32x __x) noexcept (true);


 extern _Float32x log1pf32x (_Float32x __x) noexcept (true); extern _Float32x __log1pf32x (_Float32x __x) noexcept (true);


extern _Float32x logbf32x (_Float32x __x) noexcept (true); extern _Float32x __logbf32x (_Float32x __x) noexcept (true);




 extern _Float32x exp2f32x (_Float32x __x) noexcept (true); extern _Float32x __exp2f32x (_Float32x __x) noexcept (true);


 extern _Float32x log2f32x (_Float32x __x) noexcept (true); extern _Float32x __log2f32x (_Float32x __x) noexcept (true);






 extern _Float32x powf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __powf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32x sqrtf32x (_Float32x __x) noexcept (true); extern _Float32x __sqrtf32x (_Float32x __x) noexcept (true);



 extern _Float32x hypotf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __hypotf32x (_Float32x __x, _Float32x __y) noexcept (true);




 extern _Float32x cbrtf32x (_Float32x __x) noexcept (true); extern _Float32x __cbrtf32x (_Float32x __x) noexcept (true);






extern _Float32x ceilf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __ceilf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fabsf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fabsf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x floorf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __floorf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmodf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fmodf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 198 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x copysignf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __copysignf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x nanf32x (const char *__tagb) noexcept (true); extern _Float32x __nanf32x (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x j0f32x (_Float32x) noexcept (true); extern _Float32x __j0f32x (_Float32x) noexcept (true);
extern _Float32x j1f32x (_Float32x) noexcept (true); extern _Float32x __j1f32x (_Float32x) noexcept (true);
extern _Float32x jnf32x (int, _Float32x) noexcept (true); extern _Float32x __jnf32x (int, _Float32x) noexcept (true);
extern _Float32x y0f32x (_Float32x) noexcept (true); extern _Float32x __y0f32x (_Float32x) noexcept (true);
extern _Float32x y1f32x (_Float32x) noexcept (true); extern _Float32x __y1f32x (_Float32x) noexcept (true);
extern _Float32x ynf32x (int, _Float32x) noexcept (true); extern _Float32x __ynf32x (int, _Float32x) noexcept (true);





 extern _Float32x erff32x (_Float32x) noexcept (true); extern _Float32x __erff32x (_Float32x) noexcept (true);
 extern _Float32x erfcf32x (_Float32x) noexcept (true); extern _Float32x __erfcf32x (_Float32x) noexcept (true);
extern _Float32x lgammaf32x (_Float32x) noexcept (true); extern _Float32x __lgammaf32x (_Float32x) noexcept (true);




extern _Float32x tgammaf32x (_Float32x) noexcept (true); extern _Float32x __tgammaf32x (_Float32x) noexcept (true);
# 252 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true); extern _Float32x __lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true);






extern _Float32x rintf32x (_Float32x __x) noexcept (true); extern _Float32x __rintf32x (_Float32x __x) noexcept (true);


extern _Float32x nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true);






extern _Float32x nextdownf32x (_Float32x __x) noexcept (true); extern _Float32x __nextdownf32x (_Float32x __x) noexcept (true);

extern _Float32x nextupf32x (_Float32x __x) noexcept (true); extern _Float32x __nextupf32x (_Float32x __x) noexcept (true);



extern _Float32x remainderf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __remainderf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x scalbnf32x (_Float32x __x, int __n) noexcept (true); extern _Float32x __scalbnf32x (_Float32x __x, int __n) noexcept (true);



extern int ilogbf32x (_Float32x __x) noexcept (true); extern int __ilogbf32x (_Float32x __x) noexcept (true);




extern long int llogbf32x (_Float32x __x) noexcept (true); extern long int __llogbf32x (_Float32x __x) noexcept (true);




extern _Float32x scalblnf32x (_Float32x __x, long int __n) noexcept (true); extern _Float32x __scalblnf32x (_Float32x __x, long int __n) noexcept (true);



extern _Float32x nearbyintf32x (_Float32x __x) noexcept (true); extern _Float32x __nearbyintf32x (_Float32x __x) noexcept (true);



extern _Float32x roundf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __roundf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern _Float32x truncf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __truncf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));




extern _Float32x remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true); extern _Float32x __remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true);






extern long int lrintf32x (_Float32x __x) noexcept (true); extern long int __lrintf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llrintf32x (_Float32x __x) noexcept (true); extern long long int __llrintf32x (_Float32x __x) noexcept (true);



extern long int lroundf32x (_Float32x __x) noexcept (true); extern long int __lroundf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llroundf32x (_Float32x __x) noexcept (true); extern long long int __llroundf32x (_Float32x __x) noexcept (true);



extern _Float32x fdimf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fdimf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x fmaxf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaxf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));



extern _Float32x fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true); extern _Float32x __fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);




extern _Float32x roundevenf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __roundevenf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32x (_Float32x *__cx, const _Float32x *__x) noexcept (true);






extern _Float32x fmaxmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaxmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x fmaximumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32x getpayloadf32x (const _Float32x *__x) noexcept (true); extern _Float32x __getpayloadf32x (const _Float32x *__x) noexcept (true);


extern int setpayloadf32x (_Float32x *__x, _Float32x __payload) noexcept (true);


extern int setpayloadsigf32x (_Float32x *__x, _Float32x __payload) noexcept (true);
# 502 "/usr/include/math.h" 2 3 4
# 518 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float64x acosf64x (_Float64x __x) noexcept (true); extern _Float64x __acosf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinf64x (_Float64x __x) noexcept (true); extern _Float64x __asinf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanf64x (_Float64x __x) noexcept (true); extern _Float64x __atanf64x (_Float64x __x) noexcept (true);

 extern _Float64x atan2f64x (_Float64x __y, _Float64x __x) noexcept (true); extern _Float64x __atan2f64x (_Float64x __y, _Float64x __x) noexcept (true);


 extern _Float64x cosf64x (_Float64x __x) noexcept (true); extern _Float64x __cosf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinf64x (_Float64x __x) noexcept (true); extern _Float64x __sinf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanf64x (_Float64x __x) noexcept (true); extern _Float64x __tanf64x (_Float64x __x) noexcept (true);




 extern _Float64x coshf64x (_Float64x __x) noexcept (true); extern _Float64x __coshf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinhf64x (_Float64x __x) noexcept (true); extern _Float64x __sinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanhf64x (_Float64x __x) noexcept (true); extern _Float64x __tanhf64x (_Float64x __x) noexcept (true);



 extern void sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true); extern void __sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true)
                                                        ;




 extern _Float64x acoshf64x (_Float64x __x) noexcept (true); extern _Float64x __acoshf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinhf64x (_Float64x __x) noexcept (true); extern _Float64x __asinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanhf64x (_Float64x __x) noexcept (true); extern _Float64x __atanhf64x (_Float64x __x) noexcept (true);





 extern _Float64x expf64x (_Float64x __x) noexcept (true); extern _Float64x __expf64x (_Float64x __x) noexcept (true);


extern _Float64x frexpf64x (_Float64x __x, int *__exponent) noexcept (true); extern _Float64x __frexpf64x (_Float64x __x, int *__exponent) noexcept (true);


extern _Float64x ldexpf64x (_Float64x __x, int __exponent) noexcept (true); extern _Float64x __ldexpf64x (_Float64x __x, int __exponent) noexcept (true);


 extern _Float64x logf64x (_Float64x __x) noexcept (true); extern _Float64x __logf64x (_Float64x __x) noexcept (true);


 extern _Float64x log10f64x (_Float64x __x) noexcept (true); extern _Float64x __log10f64x (_Float64x __x) noexcept (true);


extern _Float64x modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true); extern _Float64x __modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64x exp10f64x (_Float64x __x) noexcept (true); extern _Float64x __exp10f64x (_Float64x __x) noexcept (true);




 extern _Float64x expm1f64x (_Float64x __x) noexcept (true); extern _Float64x __expm1f64x (_Float64x __x) noexcept (true);


 extern _Float64x log1pf64x (_Float64x __x) noexcept (true); extern _Float64x __log1pf64x (_Float64x __x) noexcept (true);


extern _Float64x logbf64x (_Float64x __x) noexcept (true); extern _Float64x __logbf64x (_Float64x __x) noexcept (true);




 extern _Float64x exp2f64x (_Float64x __x) noexcept (true); extern _Float64x __exp2f64x (_Float64x __x) noexcept (true);


 extern _Float64x log2f64x (_Float64x __x) noexcept (true); extern _Float64x __log2f64x (_Float64x __x) noexcept (true);






 extern _Float64x powf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __powf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64x sqrtf64x (_Float64x __x) noexcept (true); extern _Float64x __sqrtf64x (_Float64x __x) noexcept (true);



 extern _Float64x hypotf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __hypotf64x (_Float64x __x, _Float64x __y) noexcept (true);




 extern _Float64x cbrtf64x (_Float64x __x) noexcept (true); extern _Float64x __cbrtf64x (_Float64x __x) noexcept (true);






extern _Float64x ceilf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __ceilf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fabsf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fabsf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x floorf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __floorf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmodf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fmodf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 198 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x copysignf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __copysignf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x nanf64x (const char *__tagb) noexcept (true); extern _Float64x __nanf64x (const char *__tagb) noexcept (true);
# 220 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x j0f64x (_Float64x) noexcept (true); extern _Float64x __j0f64x (_Float64x) noexcept (true);
extern _Float64x j1f64x (_Float64x) noexcept (true); extern _Float64x __j1f64x (_Float64x) noexcept (true);
extern _Float64x jnf64x (int, _Float64x) noexcept (true); extern _Float64x __jnf64x (int, _Float64x) noexcept (true);
extern _Float64x y0f64x (_Float64x) noexcept (true); extern _Float64x __y0f64x (_Float64x) noexcept (true);
extern _Float64x y1f64x (_Float64x) noexcept (true); extern _Float64x __y1f64x (_Float64x) noexcept (true);
extern _Float64x ynf64x (int, _Float64x) noexcept (true); extern _Float64x __ynf64x (int, _Float64x) noexcept (true);





 extern _Float64x erff64x (_Float64x) noexcept (true); extern _Float64x __erff64x (_Float64x) noexcept (true);
 extern _Float64x erfcf64x (_Float64x) noexcept (true); extern _Float64x __erfcf64x (_Float64x) noexcept (true);
extern _Float64x lgammaf64x (_Float64x) noexcept (true); extern _Float64x __lgammaf64x (_Float64x) noexcept (true);




extern _Float64x tgammaf64x (_Float64x) noexcept (true); extern _Float64x __tgammaf64x (_Float64x) noexcept (true);
# 252 "/usr/include/aarch64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true); extern _Float64x __lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true);






extern _Float64x rintf64x (_Float64x __x) noexcept (true); extern _Float64x __rintf64x (_Float64x __x) noexcept (true);


extern _Float64x nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true);






extern _Float64x nextdownf64x (_Float64x __x) noexcept (true); extern _Float64x __nextdownf64x (_Float64x __x) noexcept (true);

extern _Float64x nextupf64x (_Float64x __x) noexcept (true); extern _Float64x __nextupf64x (_Float64x __x) noexcept (true);



extern _Float64x remainderf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __remainderf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x scalbnf64x (_Float64x __x, int __n) noexcept (true); extern _Float64x __scalbnf64x (_Float64x __x, int __n) noexcept (true);



extern int ilogbf64x (_Float64x __x) noexcept (true); extern int __ilogbf64x (_Float64x __x) noexcept (true);




extern long int llogbf64x (_Float64x __x) noexcept (true); extern long int __llogbf64x (_Float64x __x) noexcept (true);




extern _Float64x scalblnf64x (_Float64x __x, long int __n) noexcept (true); extern _Float64x __scalblnf64x (_Float64x __x, long int __n) noexcept (true);



extern _Float64x nearbyintf64x (_Float64x __x) noexcept (true); extern _Float64x __nearbyintf64x (_Float64x __x) noexcept (true);



extern _Float64x roundf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __roundf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern _Float64x truncf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __truncf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));




extern _Float64x remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true); extern _Float64x __remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true);






extern long int lrintf64x (_Float64x __x) noexcept (true); extern long int __lrintf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llrintf64x (_Float64x __x) noexcept (true); extern long long int __llrintf64x (_Float64x __x) noexcept (true);



extern long int lroundf64x (_Float64x __x) noexcept (true); extern long int __lroundf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llroundf64x (_Float64x __x) noexcept (true); extern long long int __llroundf64x (_Float64x __x) noexcept (true);



extern _Float64x fdimf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fdimf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x fmaxf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaxf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));



extern _Float64x fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true); extern _Float64x __fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);




extern _Float64x roundevenf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __roundevenf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64x (_Float64x *__cx, const _Float64x *__x) noexcept (true);






extern _Float64x fmaxmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaxmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x fmaximumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64x getpayloadf64x (const _Float64x *__x) noexcept (true); extern _Float64x __getpayloadf64x (const _Float64x *__x) noexcept (true);


extern int setpayloadf64x (_Float64x *__x, _Float64x __payload) noexcept (true);


extern int setpayloadsigf64x (_Float64x *__x, _Float64x __payload) noexcept (true);
# 519 "/usr/include/math.h" 2 3 4
# 566 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern float fadd (double __x, double __y) noexcept (true);


extern float fdiv (double __x, double __y) noexcept (true);


extern float ffma (double __x, double __y, double __z) noexcept (true);


extern float fmul (double __x, double __y) noexcept (true);


extern float fsqrt (double __x) noexcept (true);


extern float fsub (double __x, double __y) noexcept (true);
# 567 "/usr/include/math.h" 2 3 4
# 587 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern float faddl (long double __x, long double __y) noexcept (true);


extern float fdivl (long double __x, long double __y) noexcept (true);


extern float ffmal (long double __x, long double __y, long double __z) noexcept (true);


extern float fmull (long double __x, long double __y) noexcept (true);


extern float fsqrtl (long double __x) noexcept (true);


extern float fsubl (long double __x, long double __y) noexcept (true);
# 588 "/usr/include/math.h" 2 3 4
# 616 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern double daddl (long double __x, long double __y) noexcept (true);


extern double ddivl (long double __x, long double __y) noexcept (true);


extern double dfmal (long double __x, long double __y, long double __z) noexcept (true);


extern double dmull (long double __x, long double __y) noexcept (true);


extern double dsqrtl (long double __x) noexcept (true);


extern double dsubl (long double __x, long double __y) noexcept (true);
# 617 "/usr/include/math.h" 2 3 4
# 697 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32divf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);


extern _Float32 f32mulf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32sqrtf32x (_Float32x __x) noexcept (true);


extern _Float32 f32subf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 698 "/usr/include/math.h" 2 3 4
# 707 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32divf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32 f32mulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32sqrtf64 (_Float64 __x) noexcept (true);


extern _Float32 f32subf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 708 "/usr/include/math.h" 2 3 4
# 717 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32 f32mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32sqrtf64x (_Float64x __x) noexcept (true);


extern _Float32 f32subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 718 "/usr/include/math.h" 2 3 4
# 727 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32 f32mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32sqrtf128 (_Float128 __x) noexcept (true);


extern _Float32 f32subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 728 "/usr/include/math.h" 2 3 4
# 747 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xdivf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xfmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32x f32xmulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xsqrtf64 (_Float64 __x) noexcept (true);


extern _Float32x f32xsubf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 748 "/usr/include/math.h" 2 3 4
# 757 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xdivf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xfmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32x f32xmulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xsqrtf64x (_Float64x __x) noexcept (true);


extern _Float32x f32xsubf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 758 "/usr/include/math.h" 2 3 4
# 767 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32x f32xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float32x f32xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 768 "/usr/include/math.h" 2 3 4
# 787 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64 f64addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float64 f64mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64sqrtf64x (_Float64x __x) noexcept (true);


extern _Float64 f64subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 788 "/usr/include/math.h" 2 3 4
# 797 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64 f64addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64 f64mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64sqrtf128 (_Float128 __x) noexcept (true);


extern _Float64 f64subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 798 "/usr/include/math.h" 2 3 4
# 817 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64x f64xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64x f64xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float64x f64xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 818 "/usr/include/math.h" 2 3 4
# 854 "/usr/include/math.h" 3 4
extern int signgam;
# 934 "/usr/include/math.h" 3 4
enum
  {
    FP_NAN =

      0,
    FP_INFINITE =

      1,
    FP_ZERO =

      2,
    FP_SUBNORMAL =

      3,
    FP_NORMAL =

      4
  };
# 1055 "/usr/include/math.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/iscanonical.h" 1 3 4
# 1056 "/usr/include/math.h" 2 3 4
# 1067 "/usr/include/math.h" 3 4
extern "C++" {
inline int issignaling (float __val) { return __issignalingf (__val); }
inline int issignaling (double __val) { return __issignaling (__val); }
inline int
issignaling (long double __val)
{



  return __issignalingl (__val);

}





}
# 1098 "/usr/include/math.h" 3 4
extern "C++" {
# 1129 "/usr/include/math.h" 3 4
template <class __T> inline bool
iszero (__T __val)
{
  return __val == 0;
}

}
# 1364 "/usr/include/math.h" 3 4
extern "C++" {
template<typename> struct __iseqsig_type;

template<> struct __iseqsig_type<float>
{
  static int __call (float __x, float __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};

template<> struct __iseqsig_type<double>
{
  static int __call (double __x, double __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};

template<> struct __iseqsig_type<long double>
{
  static int __call (long double __x, long double __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};


template<> struct __iseqsig_type<_Float32>
{
  static int __call (_Float32 __x, _Float32 __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};



template<> struct __iseqsig_type<_Float64>
{
  static int __call (_Float64 __x, _Float64 __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};





template<> struct __iseqsig_type<_Float128>
{
  static int __call (_Float128 __x, _Float128 __y) throw ()
  {



    return __iseqsigl (__x, __y);

  }
};



template<> struct __iseqsig_type<_Float32x>
{
  static int __call (_Float32x __x, _Float32x __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};



template<> struct __iseqsig_type<_Float64x>
{
  static int __call (_Float64x __x, _Float64x __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};


template<typename _T1, typename _T2>
inline int
iseqsig (_T1 __x, _T2 __y) throw ()
{

  typedef decltype (((__x) + (__y) + 0.0f)) _T3;



  return __iseqsig_type<_T3>::__call (__x, __y);
}

}




}
# 48 "/usr/include/c++/13/cmath" 2 3
# 79 "/usr/include/c++/13/cmath" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::acos;


  inline constexpr float
  acos(float __x)
  { return __builtin_acosf(__x); }

  inline constexpr long double
  acos(long double __x)
  { return __builtin_acosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    acos(_Tp __x)
    { return __builtin_acos(__x); }

  using ::asin;


  inline constexpr float
  asin(float __x)
  { return __builtin_asinf(__x); }

  inline constexpr long double
  asin(long double __x)
  { return __builtin_asinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    asin(_Tp __x)
    { return __builtin_asin(__x); }

  using ::atan;


  inline constexpr float
  atan(float __x)
  { return __builtin_atanf(__x); }

  inline constexpr long double
  atan(long double __x)
  { return __builtin_atanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    atan(_Tp __x)
    { return __builtin_atan(__x); }

  using ::atan2;


  inline constexpr float
  atan2(float __y, float __x)
  { return __builtin_atan2f(__y, __x); }

  inline constexpr long double
  atan2(long double __y, long double __x)
  { return __builtin_atan2l(__y, __x); }


  using ::ceil;


  inline constexpr float
  ceil(float __x)
  { return __builtin_ceilf(__x); }

  inline constexpr long double
  ceil(long double __x)
  { return __builtin_ceill(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ceil(_Tp __x)
    { return __builtin_ceil(__x); }

  using ::cos;


  inline constexpr float
  cos(float __x)
  { return __builtin_cosf(__x); }

  inline constexpr long double
  cos(long double __x)
  { return __builtin_cosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cos(_Tp __x)
    { return __builtin_cos(__x); }

  using ::cosh;


  inline constexpr float
  cosh(float __x)
  { return __builtin_coshf(__x); }

  inline constexpr long double
  cosh(long double __x)
  { return __builtin_coshl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cosh(_Tp __x)
    { return __builtin_cosh(__x); }

  using ::exp;


  inline constexpr float
  exp(float __x)
  { return __builtin_expf(__x); }

  inline constexpr long double
  exp(long double __x)
  { return __builtin_expl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    exp(_Tp __x)
    { return __builtin_exp(__x); }

  using ::fabs;


  inline constexpr float
  fabs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  fabs(long double __x)
  { return __builtin_fabsl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    fabs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::floor;


  inline constexpr float
  floor(float __x)
  { return __builtin_floorf(__x); }

  inline constexpr long double
  floor(long double __x)
  { return __builtin_floorl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    floor(_Tp __x)
    { return __builtin_floor(__x); }

  using ::fmod;


  inline constexpr float
  fmod(float __x, float __y)
  { return __builtin_fmodf(__x, __y); }

  inline constexpr long double
  fmod(long double __x, long double __y)
  { return __builtin_fmodl(__x, __y); }


  using ::frexp;


  inline float
  frexp(float __x, int* __exp)
  { return __builtin_frexpf(__x, __exp); }

  inline long double
  frexp(long double __x, int* __exp)
  { return __builtin_frexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    frexp(_Tp __x, int* __exp)
    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;


  inline constexpr float
  ldexp(float __x, int __exp)
  { return __builtin_ldexpf(__x, __exp); }

  inline constexpr long double
  ldexp(long double __x, int __exp)
  { return __builtin_ldexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ldexp(_Tp __x, int __exp)
    { return __builtin_ldexp(__x, __exp); }

  using ::log;


  inline constexpr float
  log(float __x)
  { return __builtin_logf(__x); }

  inline constexpr long double
  log(long double __x)
  { return __builtin_logl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log(_Tp __x)
    { return __builtin_log(__x); }

  using ::log10;


  inline constexpr float
  log10(float __x)
  { return __builtin_log10f(__x); }

  inline constexpr long double
  log10(long double __x)
  { return __builtin_log10l(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log10(_Tp __x)
    { return __builtin_log10(__x); }

  using ::modf;


  inline float
  modf(float __x, float* __iptr)
  { return __builtin_modff(__x, __iptr); }

  inline long double
  modf(long double __x, long double* __iptr)
  { return __builtin_modfl(__x, __iptr); }


  using ::pow;


  inline constexpr float
  pow(float __x, float __y)
  { return __builtin_powf(__x, __y); }

  inline constexpr long double
  pow(long double __x, long double __y)
  { return __builtin_powl(__x, __y); }
# 396 "/usr/include/c++/13/cmath" 3
  using ::sin;


  inline constexpr float
  sin(float __x)
  { return __builtin_sinf(__x); }

  inline constexpr long double
  sin(long double __x)
  { return __builtin_sinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sin(_Tp __x)
    { return __builtin_sin(__x); }

  using ::sinh;


  inline constexpr float
  sinh(float __x)
  { return __builtin_sinhf(__x); }

  inline constexpr long double
  sinh(long double __x)
  { return __builtin_sinhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sinh(_Tp __x)
    { return __builtin_sinh(__x); }

  using ::sqrt;


  inline constexpr float
  sqrt(float __x)
  { return __builtin_sqrtf(__x); }

  inline constexpr long double
  sqrt(long double __x)
  { return __builtin_sqrtl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sqrt(_Tp __x)
    { return __builtin_sqrt(__x); }

  using ::tan;


  inline constexpr float
  tan(float __x)
  { return __builtin_tanf(__x); }

  inline constexpr long double
  tan(long double __x)
  { return __builtin_tanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tan(_Tp __x)
    { return __builtin_tan(__x); }

  using ::tanh;


  inline constexpr float
  tanh(float __x)
  { return __builtin_tanhf(__x); }

  inline constexpr long double
  tanh(long double __x)
  { return __builtin_tanhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tanh(_Tp __x)
    { return __builtin_tanh(__x); }
# 1049 "/usr/include/c++/13/cmath" 3
  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    atan2(_Tp __y, _Up __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return atan2(__type(__y), __type(__x));
    }

  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmod(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmod(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    pow(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return pow(__type(__x), __type(__y));
    }
# 1096 "/usr/include/c++/13/cmath" 3
  constexpr int
  fpclassify(float __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(long double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              int>::__type
    fpclassify(_Tp __x)
    { return __x != 0 ? 4 : 2; }



  constexpr bool
  isfinite(float __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(double __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(long double __x)
  { return __builtin_isfinite(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isfinite(_Tp)
    { return true; }



  constexpr bool
  isinf(float __x)
  { return __builtin_isinf(__x); }





  constexpr bool
  isinf(double __x)
  { return __builtin_isinf(__x); }


  constexpr bool
  isinf(long double __x)
  { return __builtin_isinf(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isinf(_Tp)
    { return false; }



  constexpr bool
  isnan(float __x)
  { return __builtin_isnan(__x); }





  constexpr bool
  isnan(double __x)
  { return __builtin_isnan(__x); }


  constexpr bool
  isnan(long double __x)
  { return __builtin_isnan(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnan(_Tp)
    { return false; }



  constexpr bool
  isnormal(float __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(double __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(long double __x)
  { return __builtin_isnormal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnormal(_Tp __x)
    { return __x != 0 ? true : false; }




  constexpr bool
  signbit(float __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(double __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(long double __x)
  { return __builtin_signbit(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    signbit(_Tp __x)
    { return __x < 0 ? true : false; }



  constexpr bool
  isgreater(float __x, float __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(double __x, double __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(long double __x, long double __y)
  { return __builtin_isgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isgreaterequal(float __x, float __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(double __x, double __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(long double __x, long double __y)
  { return __builtin_isgreaterequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreaterequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreaterequal(__type(__x), __type(__y));
    }



  constexpr bool
  isless(float __x, float __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(double __x, double __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(long double __x, long double __y)
  { return __builtin_isless(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isless(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isless(__type(__x), __type(__y));
    }



  constexpr bool
  islessequal(float __x, float __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(double __x, double __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(long double __x, long double __y)
  { return __builtin_islessequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessequal(__type(__x), __type(__y));
    }



  constexpr bool
  islessgreater(float __x, float __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(double __x, double __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(long double __x, long double __y)
  { return __builtin_islessgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isunordered(float __x, float __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(double __x, double __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(long double __x, long double __y)
  { return __builtin_isunordered(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isunordered(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isunordered(__type(__x), __type(__y));
    }
# 1881 "/usr/include/c++/13/cmath" 3
  using ::double_t;
  using ::float_t;


  using ::acosh;
  using ::acoshf;
  using ::acoshl;

  using ::asinh;
  using ::asinhf;
  using ::asinhl;

  using ::atanh;
  using ::atanhf;
  using ::atanhl;

  using ::cbrt;
  using ::cbrtf;
  using ::cbrtl;

  using ::copysign;
  using ::copysignf;
  using ::copysignl;

  using ::erf;
  using ::erff;
  using ::erfl;

  using ::erfc;
  using ::erfcf;
  using ::erfcl;

  using ::exp2;
  using ::exp2f;
  using ::exp2l;

  using ::expm1;
  using ::expm1f;
  using ::expm1l;

  using ::fdim;
  using ::fdimf;
  using ::fdiml;

  using ::fma;
  using ::fmaf;
  using ::fmal;

  using ::fmax;
  using ::fmaxf;
  using ::fmaxl;

  using ::fmin;
  using ::fminf;
  using ::fminl;

  using ::hypot;
  using ::hypotf;
  using ::hypotl;

  using ::ilogb;
  using ::ilogbf;
  using ::ilogbl;

  using ::lgamma;
  using ::lgammaf;
  using ::lgammal;


  using ::llrint;
  using ::llrintf;
  using ::llrintl;

  using ::llround;
  using ::llroundf;
  using ::llroundl;


  using ::log1p;
  using ::log1pf;
  using ::log1pl;

  using ::log2;
  using ::log2f;
  using ::log2l;

  using ::logb;
  using ::logbf;
  using ::logbl;

  using ::lrint;
  using ::lrintf;
  using ::lrintl;

  using ::lround;
  using ::lroundf;
  using ::lroundl;

  using ::nan;
  using ::nanf;
  using ::nanl;

  using ::nearbyint;
  using ::nearbyintf;
  using ::nearbyintl;

  using ::nextafter;
  using ::nextafterf;
  using ::nextafterl;

  using ::nexttoward;
  using ::nexttowardf;
  using ::nexttowardl;

  using ::remainder;
  using ::remainderf;
  using ::remainderl;

  using ::remquo;
  using ::remquof;
  using ::remquol;

  using ::rint;
  using ::rintf;
  using ::rintl;

  using ::round;
  using ::roundf;
  using ::roundl;

  using ::scalbln;
  using ::scalblnf;
  using ::scalblnl;

  using ::scalbn;
  using ::scalbnf;
  using ::scalbnl;

  using ::tgamma;
  using ::tgammaf;
  using ::tgammal;

  using ::trunc;
  using ::truncf;
  using ::truncl;



  constexpr float
  acosh(float __x)
  { return __builtin_acoshf(__x); }

  constexpr long double
  acosh(long double __x)
  { return __builtin_acoshl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    acosh(_Tp __x)
    { return __builtin_acosh(__x); }



  constexpr float
  asinh(float __x)
  { return __builtin_asinhf(__x); }

  constexpr long double
  asinh(long double __x)
  { return __builtin_asinhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    asinh(_Tp __x)
    { return __builtin_asinh(__x); }



  constexpr float
  atanh(float __x)
  { return __builtin_atanhf(__x); }

  constexpr long double
  atanh(long double __x)
  { return __builtin_atanhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    atanh(_Tp __x)
    { return __builtin_atanh(__x); }



  constexpr float
  cbrt(float __x)
  { return __builtin_cbrtf(__x); }

  constexpr long double
  cbrt(long double __x)
  { return __builtin_cbrtl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    cbrt(_Tp __x)
    { return __builtin_cbrt(__x); }



  constexpr float
  copysign(float __x, float __y)
  { return __builtin_copysignf(__x, __y); }

  constexpr long double
  copysign(long double __x, long double __y)
  { return __builtin_copysignl(__x, __y); }



  constexpr float
  erf(float __x)
  { return __builtin_erff(__x); }

  constexpr long double
  erf(long double __x)
  { return __builtin_erfl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erf(_Tp __x)
    { return __builtin_erf(__x); }



  constexpr float
  erfc(float __x)
  { return __builtin_erfcf(__x); }

  constexpr long double
  erfc(long double __x)
  { return __builtin_erfcl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erfc(_Tp __x)
    { return __builtin_erfc(__x); }



  constexpr float
  exp2(float __x)
  { return __builtin_exp2f(__x); }

  constexpr long double
  exp2(long double __x)
  { return __builtin_exp2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    exp2(_Tp __x)
    { return __builtin_exp2(__x); }



  constexpr float
  expm1(float __x)
  { return __builtin_expm1f(__x); }

  constexpr long double
  expm1(long double __x)
  { return __builtin_expm1l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    expm1(_Tp __x)
    { return __builtin_expm1(__x); }



  constexpr float
  fdim(float __x, float __y)
  { return __builtin_fdimf(__x, __y); }

  constexpr long double
  fdim(long double __x, long double __y)
  { return __builtin_fdiml(__x, __y); }



  constexpr float
  fma(float __x, float __y, float __z)
  { return __builtin_fmaf(__x, __y, __z); }

  constexpr long double
  fma(long double __x, long double __y, long double __z)
  { return __builtin_fmal(__x, __y, __z); }



  constexpr float
  fmax(float __x, float __y)
  { return __builtin_fmaxf(__x, __y); }

  constexpr long double
  fmax(long double __x, long double __y)
  { return __builtin_fmaxl(__x, __y); }



  constexpr float
  fmin(float __x, float __y)
  { return __builtin_fminf(__x, __y); }

  constexpr long double
  fmin(long double __x, long double __y)
  { return __builtin_fminl(__x, __y); }



  constexpr float
  hypot(float __x, float __y)
  { return __builtin_hypotf(__x, __y); }

  constexpr long double
  hypot(long double __x, long double __y)
  { return __builtin_hypotl(__x, __y); }



  constexpr int
  ilogb(float __x)
  { return __builtin_ilogbf(__x); }

  constexpr int
  ilogb(long double __x)
  { return __builtin_ilogbl(__x); }



  template<typename _Tp>
    constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    int>::__type
    ilogb(_Tp __x)
    { return __builtin_ilogb(__x); }



  constexpr float
  lgamma(float __x)
  { return __builtin_lgammaf(__x); }

  constexpr long double
  lgamma(long double __x)
  { return __builtin_lgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    lgamma(_Tp __x)
    { return __builtin_lgamma(__x); }



  constexpr long long
  llrint(float __x)
  { return __builtin_llrintf(__x); }

  constexpr long long
  llrint(long double __x)
  { return __builtin_llrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llrint(_Tp __x)
    { return __builtin_llrint(__x); }



  constexpr long long
  llround(float __x)
  { return __builtin_llroundf(__x); }

  constexpr long long
  llround(long double __x)
  { return __builtin_llroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llround(_Tp __x)
    { return __builtin_llround(__x); }



  constexpr float
  log1p(float __x)
  { return __builtin_log1pf(__x); }

  constexpr long double
  log1p(long double __x)
  { return __builtin_log1pl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log1p(_Tp __x)
    { return __builtin_log1p(__x); }




  constexpr float
  log2(float __x)
  { return __builtin_log2f(__x); }

  constexpr long double
  log2(long double __x)
  { return __builtin_log2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log2(_Tp __x)
    { return __builtin_log2(__x); }



  constexpr float
  logb(float __x)
  { return __builtin_logbf(__x); }

  constexpr long double
  logb(long double __x)
  { return __builtin_logbl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    logb(_Tp __x)
    { return __builtin_logb(__x); }



  constexpr long
  lrint(float __x)
  { return __builtin_lrintf(__x); }

  constexpr long
  lrint(long double __x)
  { return __builtin_lrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lrint(_Tp __x)
    { return __builtin_lrint(__x); }



  constexpr long
  lround(float __x)
  { return __builtin_lroundf(__x); }

  constexpr long
  lround(long double __x)
  { return __builtin_lroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lround(_Tp __x)
    { return __builtin_lround(__x); }



  constexpr float
  nearbyint(float __x)
  { return __builtin_nearbyintf(__x); }

  constexpr long double
  nearbyint(long double __x)
  { return __builtin_nearbyintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nearbyint(_Tp __x)
    { return __builtin_nearbyint(__x); }



  constexpr float
  nextafter(float __x, float __y)
  { return __builtin_nextafterf(__x, __y); }

  constexpr long double
  nextafter(long double __x, long double __y)
  { return __builtin_nextafterl(__x, __y); }



  constexpr float
  nexttoward(float __x, long double __y)
  { return __builtin_nexttowardf(__x, __y); }

  constexpr long double
  nexttoward(long double __x, long double __y)
  { return __builtin_nexttowardl(__x, __y); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nexttoward(_Tp __x, long double __y)
    { return __builtin_nexttoward(__x, __y); }



  constexpr float
  remainder(float __x, float __y)
  { return __builtin_remainderf(__x, __y); }

  constexpr long double
  remainder(long double __x, long double __y)
  { return __builtin_remainderl(__x, __y); }



  inline float
  remquo(float __x, float __y, int* __pquo)
  { return __builtin_remquof(__x, __y, __pquo); }

  inline long double
  remquo(long double __x, long double __y, int* __pquo)
  { return __builtin_remquol(__x, __y, __pquo); }



  constexpr float
  rint(float __x)
  { return __builtin_rintf(__x); }

  constexpr long double
  rint(long double __x)
  { return __builtin_rintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    rint(_Tp __x)
    { return __builtin_rint(__x); }



  constexpr float
  round(float __x)
  { return __builtin_roundf(__x); }

  constexpr long double
  round(long double __x)
  { return __builtin_roundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    round(_Tp __x)
    { return __builtin_round(__x); }



  constexpr float
  scalbln(float __x, long __ex)
  { return __builtin_scalblnf(__x, __ex); }

  constexpr long double
  scalbln(long double __x, long __ex)
  { return __builtin_scalblnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbln(_Tp __x, long __ex)
    { return __builtin_scalbln(__x, __ex); }



  constexpr float
  scalbn(float __x, int __ex)
  { return __builtin_scalbnf(__x, __ex); }

  constexpr long double
  scalbn(long double __x, int __ex)
  { return __builtin_scalbnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbn(_Tp __x, int __ex)
    { return __builtin_scalbn(__x, __ex); }



  constexpr float
  tgamma(float __x)
  { return __builtin_tgammaf(__x); }

  constexpr long double
  tgamma(long double __x)
  { return __builtin_tgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    tgamma(_Tp __x)
    { return __builtin_tgamma(__x); }



  constexpr float
  trunc(float __x)
  { return __builtin_truncf(__x); }

  constexpr long double
  trunc(long double __x)
  { return __builtin_truncl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    trunc(_Tp __x)
    { return __builtin_trunc(__x); }
# 3469 "/usr/include/c++/13/cmath" 3
  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    copysign(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return copysign(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fdim(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fdim(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmax(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmax(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmin(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmin(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    hypot(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return hypot(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    nextafter(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return nextafter(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remainder(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remainder(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remquo(_Tp __x, _Up __y, int* __pquo)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remquo(__type(__x), __type(__y), __pquo);
    }

  template<typename _Tp, typename _Up, typename _Vp>
    constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    fma(_Tp __x, _Up __y, _Vp __z)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
      return fma(__type(__x), __type(__y), __type(__z));
    }
# 3550 "/usr/include/c++/13/cmath" 3
  template<typename _Tp>
    inline _Tp
    __hypot3(_Tp __x, _Tp __y, _Tp __z)
    {
      __x = std::abs(__x);
      __y = std::abs(__y);
      __z = std::abs(__z);
      if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x)
 return __a * std::sqrt((__x / __a) * (__x / __a)
          + (__y / __a) * (__y / __a)
          + (__z / __a) * (__z / __a));
      else
 return {};
    }

  inline float
  hypot(float __x, float __y, float __z)
  { return std::__hypot3<float>(__x, __y, __z); }

  inline double
  hypot(double __x, double __y, double __z)
  { return std::__hypot3<double>(__x, __y, __z); }

  inline long double
  hypot(long double __x, long double __y, long double __z)
  { return std::__hypot3<long double>(__x, __y, __z); }

  template<typename _Tp, typename _Up, typename _Vp>
    __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>
    hypot(_Tp __x, _Up __y, _Vp __z)
    {
      using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>;
      return std::__hypot3<__type>(__x, __y, __z);
    }
# 3695 "/usr/include/c++/13/cmath" 3

}


# 1 "/usr/include/c++/13/bits/specfun.h" 1 3
# 44 "/usr/include/c++/13/bits/specfun.h" 3
# 1 "/usr/include/c++/13/limits" 1 3
# 40 "/usr/include/c++/13/limits" 3
       
# 41 "/usr/include/c++/13/limits" 3
# 158 "/usr/include/c++/13/limits" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  enum float_round_style
  {
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
  };







  enum float_denorm_style
  {

    denorm_indeterminate = -1,

    denorm_absent = 0,

    denorm_present = 1
  };
# 202 "/usr/include/c++/13/limits" 3
  struct __numeric_limits_base
  {


    static constexpr bool is_specialized = false;




    static constexpr int digits = 0;


    static constexpr int digits10 = 0;




    static constexpr int max_digits10 = 0;



    static constexpr bool is_signed = false;


    static constexpr bool is_integer = false;




    static constexpr bool is_exact = false;



    static constexpr int radix = 0;



    static constexpr int min_exponent = 0;



    static constexpr int min_exponent10 = 0;




    static constexpr int max_exponent = 0;



    static constexpr int max_exponent10 = 0;


    static constexpr bool has_infinity = false;



    static constexpr bool has_quiet_NaN = false;



    static constexpr bool has_signaling_NaN = false;


    static constexpr float_denorm_style has_denorm = denorm_absent;



    static constexpr bool has_denorm_loss = false;



    static constexpr bool is_iec559 = false;




    static constexpr bool is_bounded = false;
# 288 "/usr/include/c++/13/limits" 3
    static constexpr bool is_modulo = false;


    static constexpr bool traps = false;


    static constexpr bool tinyness_before = false;




    static constexpr float_round_style round_style =
          round_toward_zero;
  };
# 311 "/usr/include/c++/13/limits" 3
  template<typename _Tp>
    struct numeric_limits : public __numeric_limits_base
    {


      static constexpr _Tp
      min() noexcept { return _Tp(); }


      static constexpr _Tp
      max() noexcept { return _Tp(); }




      static constexpr _Tp
      lowest() noexcept { return _Tp(); }




      static constexpr _Tp
      epsilon() noexcept { return _Tp(); }


      static constexpr _Tp
      round_error() noexcept { return _Tp(); }


      static constexpr _Tp
      infinity() noexcept { return _Tp(); }



      static constexpr _Tp
      quiet_NaN() noexcept { return _Tp(); }



      static constexpr _Tp
      signaling_NaN() noexcept { return _Tp(); }




      static constexpr _Tp
      denorm_min() noexcept { return _Tp(); }
    };




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

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

  template<typename _Tp>
    struct numeric_limits<const volatile _Tp>
    : public numeric_limits<_Tp> { };
# 383 "/usr/include/c++/13/limits" 3
  template<>
    struct numeric_limits<bool>
    {
      static constexpr bool is_specialized = true;

      static constexpr bool
      min() noexcept { return false; }

      static constexpr bool
      max() noexcept { return true; }


      static constexpr bool
      lowest() noexcept { return min(); }

      static constexpr int digits = 1;
      static constexpr int digits10 = 0;

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr bool
      epsilon() noexcept { return false; }

      static constexpr bool
      round_error() noexcept { return false; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr bool
      infinity() noexcept { return false; }

      static constexpr bool
      quiet_NaN() noexcept { return false; }

      static constexpr bool
      signaling_NaN() noexcept { return false; }

      static constexpr bool
      denorm_min() noexcept { return false; }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;




      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<char>
    {
      static constexpr bool is_specialized = true;

      static constexpr char
      min() noexcept { return (((char)(-1) < 0) ? -(((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0) - 1 : (char)0); }

      static constexpr char
      max() noexcept { return (((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0); }


      static constexpr char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(char) * 8 - ((char)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char) * 8 - ((char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((char)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char
      epsilon() noexcept { return 0; }

      static constexpr char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr
      char infinity() noexcept { return char(); }

      static constexpr char
      quiet_NaN() noexcept { return char(); }

      static constexpr char
      signaling_NaN() noexcept { return char(); }

      static constexpr char
      denorm_min() noexcept { return static_cast<char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<signed char>
    {
      static constexpr bool is_specialized = true;

      static constexpr signed char
      min() noexcept { return -0x7f - 1; }

      static constexpr signed char
      max() noexcept { return 0x7f; }


      static constexpr signed char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(signed char) * 8 - ((signed char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(signed char) * 8 - ((signed char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr signed char
      epsilon() noexcept { return 0; }

      static constexpr signed char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr signed char
      infinity() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      quiet_NaN() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      signaling_NaN() noexcept
      { return static_cast<signed char>(0); }

      static constexpr signed char
      denorm_min() noexcept
      { return static_cast<signed char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned char>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned char
      min() noexcept { return 0; }

      static constexpr unsigned char
      max() noexcept { return 0x7f * 2U + 1; }


      static constexpr unsigned char
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned char
      epsilon() noexcept { return 0; }

      static constexpr unsigned char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned char
      infinity() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      quiet_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      signaling_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      denorm_min() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<wchar_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr wchar_t
      min() noexcept { return (((wchar_t)(-1) < 0) ? -(((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0) - 1 : (wchar_t)0); }

      static constexpr wchar_t
      max() noexcept { return (((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0); }


      static constexpr wchar_t
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((wchar_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr wchar_t
      epsilon() noexcept { return 0; }

      static constexpr wchar_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr wchar_t
      infinity() noexcept { return wchar_t(); }

      static constexpr wchar_t
      quiet_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      signaling_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      denorm_min() noexcept { return wchar_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 796 "/usr/include/c++/13/limits" 3
  template<>
    struct numeric_limits<char16_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char16_t
      min() noexcept { return (((char16_t)(-1) < 0) ? -(((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0) - 1 : (char16_t)0); }

      static constexpr char16_t
      max() noexcept { return (((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0); }

      static constexpr char16_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char16_t) * 8 - ((char16_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char16_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char16_t
      epsilon() noexcept { return 0; }

      static constexpr char16_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char16_t
      infinity() noexcept { return char16_t(); }

      static constexpr char16_t
      quiet_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      signaling_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      denorm_min() noexcept { return char16_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };


  template<>
    struct numeric_limits<char32_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char32_t
      min() noexcept { return (((char32_t)(-1) < 0) ? -(((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0) - 1 : (char32_t)0); }

      static constexpr char32_t
      max() noexcept { return (((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0); }

      static constexpr char32_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char32_t) * 8 - ((char32_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char32_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char32_t
      epsilon() noexcept { return 0; }

      static constexpr char32_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char32_t
      infinity() noexcept { return char32_t(); }

      static constexpr char32_t
      quiet_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      signaling_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      denorm_min() noexcept { return char32_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };



  template<>
    struct numeric_limits<short>
    {
      static constexpr bool is_specialized = true;

      static constexpr short
      min() noexcept { return -0x7fff - 1; }

      static constexpr short
      max() noexcept { return 0x7fff; }


      static constexpr short
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(short) * 8 - ((short)(-1) < 0));
      static constexpr int digits10 = ((sizeof(short) * 8 - ((short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr short
      epsilon() noexcept { return 0; }

      static constexpr short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr short
      infinity() noexcept { return short(); }

      static constexpr short
      quiet_NaN() noexcept { return short(); }

      static constexpr short
      signaling_NaN() noexcept { return short(); }

      static constexpr short
      denorm_min() noexcept { return short(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned short>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned short
      min() noexcept { return 0; }

      static constexpr unsigned short
      max() noexcept { return 0x7fff * 2U + 1; }


      static constexpr unsigned short
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned short
      epsilon() noexcept { return 0; }

      static constexpr unsigned short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned short
      infinity() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      quiet_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      signaling_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      denorm_min() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<int>
    {
      static constexpr bool is_specialized = true;

      static constexpr int
      min() noexcept { return -0x7fffffff - 1; }

      static constexpr int
      max() noexcept { return 0x7fffffff; }


      static constexpr int
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(int) * 8 - ((int)(-1) < 0));
      static constexpr int digits10 = ((sizeof(int) * 8 - ((int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr int
      epsilon() noexcept { return 0; }

      static constexpr int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr int
      infinity() noexcept { return static_cast<int>(0); }

      static constexpr int
      quiet_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      signaling_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      denorm_min() noexcept { return static_cast<int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned int>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned int
      min() noexcept { return 0; }

      static constexpr unsigned int
      max() noexcept { return 0x7fffffff * 2U + 1; }


      static constexpr unsigned int
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned int
      epsilon() noexcept { return 0; }

      static constexpr unsigned int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned int
      infinity() noexcept { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      quiet_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      signaling_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      denorm_min() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long
      min() noexcept { return -0x7fffffffffffffffL - 1; }

      static constexpr long
      max() noexcept { return 0x7fffffffffffffffL; }


      static constexpr long
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(long) * 8 - ((long)(-1) < 0));
      static constexpr int digits10 = ((sizeof(long) * 8 - ((long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long
      epsilon() noexcept { return 0; }

      static constexpr long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long
      infinity() noexcept { return static_cast<long>(0); }

      static constexpr long
      quiet_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      signaling_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      denorm_min() noexcept { return static_cast<long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long
      min() noexcept { return 0; }

      static constexpr unsigned long
      max() noexcept { return 0x7fffffffffffffffL * 2UL + 1; }


      static constexpr unsigned long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long
      infinity() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      quiet_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      signaling_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      denorm_min() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long long
      min() noexcept { return -0x7fffffffffffffffLL - 1; }

      static constexpr long long
      max() noexcept { return 0x7fffffffffffffffLL; }


      static constexpr long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(long long) * 8 - ((long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(long long) * 8 - ((long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long long
      epsilon() noexcept { return 0; }

      static constexpr long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long long
      infinity() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      quiet_NaN() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      signaling_NaN() noexcept
      { return static_cast<long long>(0); }

      static constexpr long long
      denorm_min() noexcept { return static_cast<long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long long
      min() noexcept { return 0; }

      static constexpr unsigned long long
      max() noexcept { return 0x7fffffffffffffffLL * 2ULL + 1; }


      static constexpr unsigned long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long long
      infinity() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      quiet_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      signaling_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      denorm_min() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 1637 "/usr/include/c++/13/limits" 3
  __extension__ template<> struct numeric_limits<__int128> { static constexpr bool is_specialized = true; static constexpr __int128 min() noexcept { return (((__int128)(-1) < 0) ? -(((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0) - 1 : (__int128)0); } static constexpr __int128 max() noexcept { return (((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0); } static constexpr int digits = 128 - 1; static constexpr int digits10 = (128 - 1) * 643L / 2136; static constexpr bool is_signed = true; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr __int128 epsilon() noexcept { return 0; } static constexpr __int128 round_error() noexcept { return 0; } static constexpr __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr __int128 infinity() noexcept { return static_cast<__int128>(0); } static constexpr __int128 quiet_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 signaling_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 denorm_min() noexcept { return static_cast<__int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; }; __extension__ template<> struct numeric_limits<unsigned __int128> { static constexpr bool is_specialized = true; static constexpr unsigned __int128 min() noexcept { return 0; } static constexpr unsigned __int128 max() noexcept { return (((unsigned __int128)(-1) < 0) ? (((((unsigned __int128)1 << ((128 - ((unsigned __int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(unsigned __int128)0); } static constexpr unsigned __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int digits = 128; static constexpr int digits10 = 128 * 643L / 2136; static constexpr bool is_signed = false; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr unsigned __int128 epsilon() noexcept { return 0; } static constexpr unsigned __int128 round_error() noexcept { return 0; } static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr unsigned __int128 infinity() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 quiet_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 signaling_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 denorm_min() noexcept { return static_cast<unsigned __int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = true; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; };
# 1669 "/usr/include/c++/13/limits" 3
  template<>
    struct numeric_limits<float>
    {
      static constexpr bool is_specialized = true;

      static constexpr float
      min() noexcept { return 1.17549435082228750796873653722224568e-38F; }

      static constexpr float
      max() noexcept { return 3.40282346638528859811704183484516925e+38F; }


      static constexpr float
      lowest() noexcept { return -3.40282346638528859811704183484516925e+38F; }


      static constexpr int digits = 24;
      static constexpr int digits10 = 6;

      static constexpr int max_digits10
  = (2 + (24) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr float
      epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F; }

      static constexpr float
      round_error() noexcept { return 0.5F; }

      static constexpr int min_exponent = (-125);
      static constexpr int min_exponent10 = (-37);
      static constexpr int max_exponent = 128;
      static constexpr int max_exponent10 = 38;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
       = false;

      static constexpr float
      infinity() noexcept { return __builtin_huge_valf(); }

      static constexpr float
      quiet_NaN() noexcept { return __builtin_nanf(""); }

      static constexpr float
      signaling_NaN() noexcept { return __builtin_nansf(""); }

      static constexpr float
      denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<double>
    {
      static constexpr bool is_specialized = true;

      static constexpr double
      min() noexcept { return double(2.22507385850720138309023271733240406e-308L); }

      static constexpr double
      max() noexcept { return double(1.79769313486231570814527423731704357e+308L); }


      static constexpr double
      lowest() noexcept { return -double(1.79769313486231570814527423731704357e+308L); }


      static constexpr int digits = 53;
      static constexpr int digits10 = 15;

      static constexpr int max_digits10
  = (2 + (53) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr double
      epsilon() noexcept { return double(2.22044604925031308084726333618164062e-16L); }

      static constexpr double
      round_error() noexcept { return 0.5; }

      static constexpr int min_exponent = (-1021);
      static constexpr int min_exponent10 = (-307);
      static constexpr int max_exponent = 1024;
      static constexpr int max_exponent10 = 308;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
        = false;

      static constexpr double
      infinity() noexcept { return __builtin_huge_val(); }

      static constexpr double
      quiet_NaN() noexcept { return __builtin_nan(""); }

      static constexpr double
      signaling_NaN() noexcept { return __builtin_nans(""); }

      static constexpr double
      denorm_min() noexcept { return double(4.94065645841246544176568792868221372e-324L); }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<long double>
    {
      static constexpr bool is_specialized = true;

      static constexpr long double
      min() noexcept { return 3.36210314311209350626267781732175260e-4932L; }

      static constexpr long double
      max() noexcept { return 1.18973149535723176508575932662800702e+4932L; }


      static constexpr long double
      lowest() noexcept { return -1.18973149535723176508575932662800702e+4932L; }


      static constexpr int digits = 113;
      static constexpr int digits10 = 33;

      static constexpr int max_digits10
  = (2 + (113) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr long double
      epsilon() noexcept { return 1.92592994438723585305597794258492732e-34L; }

      static constexpr long double
      round_error() noexcept { return 0.5L; }

      static constexpr int min_exponent = (-16381);
      static constexpr int min_exponent10 = (-4931);
      static constexpr int max_exponent = 16384;
      static constexpr int max_exponent10 = 4932;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
 = false;

      static constexpr long double
      infinity() noexcept { return __builtin_huge_vall(); }

      static constexpr long double
      quiet_NaN() noexcept { return __builtin_nanl(""); }

      static constexpr long double
      signaling_NaN() noexcept { return __builtin_nansl(""); }

      static constexpr long double
      denorm_min() noexcept { return 6.47517511943802511092443895822764655e-4966L; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before =
      false;
      static constexpr float_round_style round_style =
            round_to_nearest;
    };
# 2076 "/usr/include/c++/13/limits" 3

}
# 45 "/usr/include/c++/13/bits/specfun.h" 2 3


# 1 "/usr/include/c++/13/tr1/gamma.tcc" 1 3
# 49 "/usr/include/c++/13/tr1/gamma.tcc" 3
# 1 "/usr/include/c++/13/tr1/special_function_util.h" 1 3
# 39 "/usr/include/c++/13/tr1/special_function_util.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 50 "/usr/include/c++/13/tr1/special_function_util.h" 3
  namespace __detail
  {



    template<typename _Tp>
    struct __floating_point_constant
    {
      static const _Tp __value;
    };



    template<typename _Tp>
      struct __numeric_constants
      {

        static _Tp __pi() throw()
        { return static_cast<_Tp>(3.1415926535897932384626433832795029L); }

        static _Tp __pi_2() throw()
        { return static_cast<_Tp>(1.5707963267948966192313216916397514L); }

        static _Tp __pi_3() throw()
        { return static_cast<_Tp>(1.0471975511965977461542144610931676L); }

        static _Tp __pi_4() throw()
        { return static_cast<_Tp>(0.7853981633974483096156608458198757L); }

        static _Tp __1_pi() throw()
        { return static_cast<_Tp>(0.3183098861837906715377675267450287L); }

        static _Tp __2_sqrtpi() throw()
        { return static_cast<_Tp>(1.1283791670955125738961589031215452L); }

        static _Tp __sqrt2() throw()
        { return static_cast<_Tp>(1.4142135623730950488016887242096981L); }

        static _Tp __sqrt3() throw()
        { return static_cast<_Tp>(1.7320508075688772935274463415058723L); }

        static _Tp __sqrtpio2() throw()
        { return static_cast<_Tp>(1.2533141373155002512078826424055226L); }

        static _Tp __sqrt1_2() throw()
        { return static_cast<_Tp>(0.7071067811865475244008443621048490L); }

        static _Tp __lnpi() throw()
        { return static_cast<_Tp>(1.1447298858494001741434273513530587L); }

        static _Tp __gamma_e() throw()
        { return static_cast<_Tp>(0.5772156649015328606065120900824024L); }

        static _Tp __euler() throw()
        { return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
      };
# 114 "/usr/include/c++/13/tr1/special_function_util.h" 3
    template<typename _Tp>
    inline bool __isnan(_Tp __x)
    { return std::isnan(__x); }
# 133 "/usr/include/c++/13/tr1/special_function_util.h" 3
  }





}
# 50 "/usr/include/c++/13/tr1/gamma.tcc" 2 3

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

# 65 "/usr/include/c++/13/tr1/gamma.tcc" 3
  namespace __detail
  {
# 76 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template <typename _Tp>
    _Tp
    __bernoulli_series(unsigned int __n)
    {

      static const _Tp __num[28] = {
        _Tp(1UL), -_Tp(1UL) / _Tp(2UL),
        _Tp(1UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(1UL) / _Tp(42UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(5UL) / _Tp(66UL), _Tp(0UL),
        -_Tp(691UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(7UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(3617UL) / _Tp(510UL), _Tp(0UL),
        _Tp(43867UL) / _Tp(798UL), _Tp(0UL),
        -_Tp(174611) / _Tp(330UL), _Tp(0UL),
        _Tp(854513UL) / _Tp(138UL), _Tp(0UL),
        -_Tp(236364091UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(8553103UL) / _Tp(6UL), _Tp(0UL)
      };

      if (__n == 0)
        return _Tp(1);

      if (__n == 1)
        return -_Tp(1) / _Tp(2);


      if (__n % 2 == 1)
        return _Tp(0);


      if (__n < 28)
        return __num[__n];


      _Tp __fact = _Tp(1);
      if ((__n / 2) % 2 == 0)
        __fact *= _Tp(-1);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __fact *= __k / (_Tp(2) * __numeric_constants<_Tp>::__pi());
      __fact *= _Tp(2);

      _Tp __sum = _Tp(0);
      for (unsigned int __i = 1; __i < 1000; ++__i)
        {
          _Tp __term = std::pow(_Tp(__i), -_Tp(__n));
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __fact * __sum;
    }
# 139 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __bernoulli(int __n)
    { return __bernoulli_series<_Tp>(__n); }
# 153 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_bernoulli(_Tp __x)
    {
      _Tp __lg = (__x - _Tp(0.5L)) * std::log(__x) - __x
               + _Tp(0.5L) * std::log(_Tp(2)
               * __numeric_constants<_Tp>::__pi());

      const _Tp __xx = __x * __x;
      _Tp __help = _Tp(1) / __x;
      for ( unsigned int __i = 1; __i < 20; ++__i )
        {
          const _Tp __2i = _Tp(2 * __i);
          __help /= __2i * (__2i - _Tp(1)) * __xx;
          __lg += __bernoulli<_Tp>(2 * __i) * __help;
        }

      return __lg;
    }
# 181 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_lanczos(_Tp __x)
    {
      const _Tp __xm1 = __x - _Tp(1);

      static const _Tp __lanczos_cheb_7[9] = {
       _Tp( 0.99999999999980993227684700473478L),
       _Tp( 676.520368121885098567009190444019L),
       _Tp(-1259.13921672240287047156078755283L),
       _Tp( 771.3234287776530788486528258894L),
       _Tp(-176.61502916214059906584551354L),
       _Tp( 12.507343278686904814458936853L),
       _Tp(-0.13857109526572011689554707L),
       _Tp( 9.984369578019570859563e-6L),
       _Tp( 1.50563273514931155834e-7L)
      };

      static const _Tp __LOGROOT2PI
          = _Tp(0.9189385332046727417803297364056176L);

      _Tp __sum = __lanczos_cheb_7[0];
      for(unsigned int __k = 1; __k < 9; ++__k)
        __sum += __lanczos_cheb_7[__k] / (__xm1 + __k);

      const _Tp __term1 = (__xm1 + _Tp(0.5L))
                        * std::log((__xm1 + _Tp(7.5L))
                       / __numeric_constants<_Tp>::__euler());
      const _Tp __term2 = __LOGROOT2PI + std::log(__sum);
      const _Tp __result = __term1 + (__term2 - _Tp(7));

      return __result;
    }
# 225 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma(_Tp __x)
    {
      if (__x > _Tp(0.5L))
        return __log_gamma_lanczos(__x);
      else
        {
          const _Tp __sin_fact
                 = std::abs(std::sin(__numeric_constants<_Tp>::__pi() * __x));
          if (__sin_fact == _Tp(0))
            std::__throw_domain_error(("Argument is nonpositive integer " "in __log_gamma")
                                                           );
          return __numeric_constants<_Tp>::__lnpi()
                     - std::log(__sin_fact)
                     - __log_gamma_lanczos(_Tp(1) - __x);
        }
    }
# 252 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_sign(_Tp __x)
    {
      if (__x > _Tp(0))
        return _Tp(1);
      else
        {
          const _Tp __sin_fact
                  = std::sin(__numeric_constants<_Tp>::__pi() * __x);
          if (__sin_fact > _Tp(0))
            return (1);
          else if (__sin_fact < _Tp(0))
            return -_Tp(1);
          else
            return _Tp(0);
        }
    }
# 283 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      _Tp __coeff = ::std::lgamma(_Tp(1 + __n))
                  - ::std::lgamma(_Tp(1 + __k))
                  - ::std::lgamma(_Tp(1 + __n - __k));





    }
# 314 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      const _Tp __log_coeff = __log_bincoef<_Tp>(__n, __k);
      if (__log_coeff > __max_bincoeff)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return std::exp(__log_coeff);
    }
# 337 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __gamma(_Tp __x)
    { return std::exp(__log_gamma(__x)); }
# 356 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_series(_Tp __x)
    {
      _Tp __sum = -__numeric_constants<_Tp>::__gamma_e() - _Tp(1) / __x;
      const unsigned int __max_iter = 100000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __x / (__k * (__k + __x));
          __sum += __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
        }
      return __sum;
    }
# 386 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_asymp(_Tp __x)
    {
      _Tp __sum = std::log(__x) - _Tp(0.5L) / __x;
      const _Tp __xx = __x * __x;
      _Tp __xp = __xx;
      const unsigned int __max_iter = 100;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __bernoulli<_Tp>(2 * __k) / (2 * __k * __xp);
          __sum -= __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
          __xp *= __xx;
        }
      return __sum;
    }
# 417 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(_Tp __x)
    {
      const int __n = static_cast<int>(__x + 0.5L);
      const _Tp __eps = _Tp(4) * std::numeric_limits<_Tp>::epsilon();
      if (__n <= 0 && std::abs(__x - _Tp(__n)) < __eps)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x < _Tp(0))
        {
          const _Tp __pi = __numeric_constants<_Tp>::__pi();
          return __psi(_Tp(1) - __x)
               - __pi * std::cos(__pi * __x) / std::sin(__pi * __x);
        }
      else if (__x > _Tp(100))
        return __psi_asymp(__x);
      else
        return __psi_series(__x);
    }
# 446 "/usr/include/c++/13/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(unsigned int __n, _Tp __x)
    {
      if (__x <= _Tp(0))
        std::__throw_domain_error(("Argument out of range " "in __psi")
                                                 );
      else if (__n == 0)
        return __psi(__x);
      else
        {
          const _Tp __hzeta = __hurwitz_zeta(_Tp(__n + 1), __x);

          const _Tp __ln_nfact = ::std::lgamma(_Tp(__n + 1));



          _Tp __result = std::exp(__ln_nfact) * __hzeta;
          if (__n % 2 == 1)
            __result = -__result;
          return __result;
        }
    }
  }






}
# 48 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/bessel_function.tcc" 1 3
# 55 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 71 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
  namespace __detail
  {
# 98 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __gamma_temme(_Tp __mu,
                  _Tp & __gam1, _Tp & __gam2, _Tp & __gampl, _Tp & __gammi)
    {

      __gampl = _Tp(1) / ::std::tgamma(_Tp(1) + __mu);
      __gammi = _Tp(1) / ::std::tgamma(_Tp(1) - __mu);





      if (std::abs(__mu) < std::numeric_limits<_Tp>::epsilon())
        __gam1 = -_Tp(__numeric_constants<_Tp>::__gamma_e());
      else
        __gam1 = (__gammi - __gampl) / (_Tp(2) * __mu);

      __gam2 = (__gammi + __gampl) / (_Tp(2));

      return;
    }
# 136 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __bessel_jn(_Tp __nu, _Tp __x,
                _Tp & __Jnu, _Tp & __Nnu, _Tp & __Jpnu, _Tp & __Npnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Jnu = _Tp(1);
              __Jpnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0.5L);
            }
          else
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0);
            }
          __Nnu = -std::numeric_limits<_Tp>::infinity();
          __Npnu = std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();




      const _Tp __fp_min = std::sqrt(std::numeric_limits<_Tp>::min());
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = (__x < __x_min
                    ? static_cast<int>(__nu + _Tp(0.5L))
                    : std::max(0, static_cast<int>(__nu - __x + _Tp(1.5L))));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __w = __xi2 / __numeric_constants<_Tp>::__pi();
      int __isign = 1;
      _Tp __h = __nu * __xi;
      if (__h < __fp_min)
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for (__i = 1; __i <= __max_iter; ++__i)
        {
          __b += __xi2;
          __d = __b - __d;
          if (std::abs(__d) < __fp_min)
            __d = __fp_min;
          __c = __b - _Tp(1) / __c;
          if (std::abs(__c) < __fp_min)
            __c = __fp_min;
          __d = _Tp(1) / __d;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (__d < _Tp(0))
            __isign = -__isign;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large in __bessel_jn; " "try asymptotic expansion.")
                                                                   );
      _Tp __Jnul = __isign * __fp_min;
      _Tp __Jpnul = __h * __Jnul;
      _Tp __Jnul1 = __Jnul;
      _Tp __Jpnu1 = __Jpnul;
      _Tp __fact = __nu * __xi;
      for ( int __l = __nl; __l >= 1; --__l )
        {
          const _Tp __Jnutemp = __fact * __Jnul + __Jpnul;
          __fact -= __xi;
          __Jpnul = __fact * __Jnutemp - __Jnul;
          __Jnul = __Jnutemp;
        }
      if (__Jnul == _Tp(0))
        __Jnul = __eps;
      _Tp __f= __Jpnul / __Jnul;
      _Tp __Nmu, __Nnu1, __Npmu, __Jmu;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          _Tp __fact = (std::abs(__pimu) < __eps
                      ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          _Tp __fact2 = (std::abs(__e) < __eps
                       ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = (_Tp(2) / __numeric_constants<_Tp>::__pi())
                   * __fact * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          __e = std::exp(__e);
          _Tp __p = __e / (__numeric_constants<_Tp>::__pi() * __gampl);
          _Tp __q = _Tp(1) / (__e * __numeric_constants<_Tp>::__pi() * __gammi);
          const _Tp __pimu2 = __pimu / _Tp(2);
          _Tp __fact3 = (std::abs(__pimu2) < __eps
                       ? _Tp(1) : std::sin(__pimu2) / __pimu2 );
          _Tp __r = __numeric_constants<_Tp>::__pi() * __pimu2 * __fact3 * __fact3;
          _Tp __c = _Tp(1);
          __d = -__x2 * __x2;
          _Tp __sum = __ff + __r * __q;
          _Tp __sum1 = __p;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / _Tp(__i);
              __p /= _Tp(__i) - __mu;
              __q /= _Tp(__i) + __mu;
              const _Tp __del = __c * (__ff + __r * __q);
              __sum += __del;
              const _Tp __del1 = __c * __p - __i * __del;
              __sum1 += __del1;
              if ( std::abs(__del) < __eps * (_Tp(1) + std::abs(__sum)) )
                break;
            }
          if ( __i > __max_iter )
            std::__throw_runtime_error(("Bessel y series failed to converge " "in __bessel_jn.")
                                                             );
          __Nmu = -__sum;
          __Nnu1 = -__sum1 * __xi2;
          __Npmu = __mu * __xi * __Nmu - __Nnu1;
          __Jmu = __w / (__Npmu - __f * __Nmu);
        }
      else
        {
          _Tp __a = _Tp(0.25L) - __mu2;
          _Tp __q = _Tp(1);
          _Tp __p = -__xi / _Tp(2);
          _Tp __br = _Tp(2) * __x;
          _Tp __bi = _Tp(2);
          _Tp __fact = __a * __xi / (__p * __p + __q * __q);
          _Tp __cr = __br + __q * __fact;
          _Tp __ci = __bi + __p * __fact;
          _Tp __den = __br * __br + __bi * __bi;
          _Tp __dr = __br / __den;
          _Tp __di = -__bi / __den;
          _Tp __dlr = __cr * __dr - __ci * __di;
          _Tp __dli = __cr * __di + __ci * __dr;
          _Tp __temp = __p * __dlr - __q * __dli;
          __q = __p * __dli + __q * __dlr;
          __p = __temp;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a += _Tp(2 * (__i - 1));
              __bi += _Tp(2);
              __dr = __a * __dr + __br;
              __di = __a * __di + __bi;
              if (std::abs(__dr) + std::abs(__di) < __fp_min)
                __dr = __fp_min;
              __fact = __a / (__cr * __cr + __ci * __ci);
              __cr = __br + __cr * __fact;
              __ci = __bi - __ci * __fact;
              if (std::abs(__cr) + std::abs(__ci) < __fp_min)
                __cr = __fp_min;
              __den = __dr * __dr + __di * __di;
              __dr /= __den;
              __di /= -__den;
              __dlr = __cr * __dr - __ci * __di;
              __dli = __cr * __di + __ci * __dr;
              __temp = __p * __dlr - __q * __dli;
              __q = __p * __dli + __q * __dlr;
              __p = __temp;
              if (std::abs(__dlr - _Tp(1)) + std::abs(__dli) < __eps)
                break;
          }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Lentz's method failed " "in __bessel_jn.")
                                                             );
          const _Tp __gam = (__p - __f) / __q;
          __Jmu = std::sqrt(__w / ((__p - __f) * __gam + __q));

          __Jmu = ::std::copysign(__Jmu, __Jnul);




          __Nmu = __gam * __Jmu;
          __Npmu = (__p + __q / __gam) * __Nmu;
          __Nnu1 = __mu * __xi * __Nmu - __Npmu;
      }
      __fact = __Jmu / __Jnul;
      __Jnu = __fact * __Jnul1;
      __Jpnu = __fact * __Jpnu1;
      for (__i = 1; __i <= __nl; ++__i)
        {
          const _Tp __Nnutemp = (__mu + __i) * __xi2 * __Nnu1 - __Nmu;
          __Nmu = __Nnu1;
          __Nnu1 = __Nnutemp;
        }
      __Nnu = __Nmu;
      __Npnu = __nu * __xi * __Nmu - __Nnu1;

      return;
    }
# 361 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __cyl_bessel_jn_asymp(_Tp __nu, _Tp __x, _Tp & __Jnu, _Tp & __Nnu)
    {
      const _Tp __mu = _Tp(4) * __nu * __nu;
      const _Tp __8x = _Tp(8) * __x;

      _Tp __P = _Tp(0);
      _Tp __Q = _Tp(0);

      _Tp __k = _Tp(0);
      _Tp __term = _Tp(1);

      int __epsP = 0;
      int __epsQ = 0;

      _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      do
        {
          __term *= (__k == 0
                     ? _Tp(1)
                     : -(__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x));

          __epsP = std::abs(__term) < __eps * std::abs(__P);
          __P += __term;

          __k++;

          __term *= (__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x);
          __epsQ = std::abs(__term) < __eps * std::abs(__Q);
          __Q += __term;

          if (__epsP && __epsQ && __k > (__nu / 2.))
            break;

          __k++;
        }
      while (__k < 1000);

      const _Tp __chi = __x - (__nu + _Tp(0.5L))
                             * __numeric_constants<_Tp>::__pi_2();

      const _Tp __c = std::cos(__chi);
      const _Tp __s = std::sin(__chi);

      const _Tp __coef = std::sqrt(_Tp(2)
                             / (__numeric_constants<_Tp>::__pi() * __x));

      __Jnu = __coef * (__c * __P - __s * __Q);
      __Nnu = __coef * (__s * __P + __c * __Q);

      return;
    }
# 444 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __cyl_bessel_ij_series(_Tp __nu, _Tp __x, _Tp __sgn,
                           unsigned int __max_iter)
    {
      if (__x == _Tp(0))
 return __nu == _Tp(0) ? _Tp(1) : _Tp(0);

      const _Tp __x2 = __x / _Tp(2);
      _Tp __fact = __nu * std::log(__x2);

      __fact -= ::std::lgamma(__nu + _Tp(1));



      __fact = std::exp(__fact);
      const _Tp __xx4 = __sgn * __x2 * __x2;
      _Tp __Jn = _Tp(1);
      _Tp __term = _Tp(1);

      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __xx4 / (_Tp(__i) * (__nu + _Tp(__i)));
          __Jn += __term;
          if (std::abs(__term / __Jn) < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      return __fact * __Jn;
    }
# 490 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_j(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_j.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, -_Tp(1), 200);
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __J_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __J_nu;
        }
    }
# 532 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_neumann_n(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_neumann_n.")
                                                            );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __N_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __N_nu;
        }
    }
# 569 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_jn(unsigned int __n, _Tp __x,
                    _Tp & __j_n, _Tp & __n_n, _Tp & __jp_n, _Tp & __np_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
      __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __j_n = __factor * __J_nu;
      __n_n = __factor * __N_nu;
      __jp_n = __factor * __Jp_nu - __j_n / (_Tp(2) * __x);
      __np_n = __factor * __Np_nu - __n_n / (_Tp(2) * __x);

      return;
    }
# 604 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_bessel(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_bessel.")
                                                         );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        {
          if (__n == 0)
            return _Tp(1);
          else
            return _Tp(0);
        }
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __j_n;
        }
    }
# 642 "/usr/include/c++/13/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_neumann(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_neumann.")
                                                          );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        return -std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __n_n;
        }
    }
  }






}
# 49 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/beta_function.tcc" 1 3
# 49 "/usr/include/c++/13/tr1/beta_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/13/tr1/beta_function.tcc" 3
  namespace __detail
  {
# 79 "/usr/include/c++/13/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_gamma(_Tp __x, _Tp __y)
    {

      _Tp __bet;

      if (__x > __y)
        {
          __bet = ::std::tgamma(__x)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__y);
        }
      else
        {
          __bet = ::std::tgamma(__y)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__x);
        }
# 111 "/usr/include/c++/13/tr1/beta_function.tcc" 3
      return __bet;
    }
# 127 "/usr/include/c++/13/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_lgamma(_Tp __x, _Tp __y)
    {

      _Tp __bet = ::std::lgamma(__x)
                + ::std::lgamma(__y)
                - ::std::lgamma(__x + __y);





      __bet = std::exp(__bet);
      return __bet;
    }
# 158 "/usr/include/c++/13/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_product(_Tp __x, _Tp __y)
    {

      _Tp __bet = (__x + __y) / (__x * __y);

      unsigned int __max_iter = 1000000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          _Tp __term = (_Tp(1) + (__x + __y) / __k)
                     / ((_Tp(1) + __x / __k) * (_Tp(1) + __y / __k));
          __bet *= __term;
        }

      return __bet;
    }
# 189 "/usr/include/c++/13/tr1/beta_function.tcc" 3
    template<typename _Tp>
    inline _Tp
    __beta(_Tp __x, _Tp __y)
    {
      if (__isnan(__x) || __isnan(__y))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __beta_lgamma(__x, __y);
    }
  }






}
# 50 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/ell_integral.tcc" 1 3
# 45 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 59 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
  namespace __detail
  {
# 76 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rf(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rf.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim)
        std::__throw_domain_error(("Argument too small in __ellint_rf"));
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(24);
          const _Tp __c2 = _Tp(1) / _Tp(10);
          const _Tp __c3 = _Tp(3) / _Tp(44);
          const _Tp __c4 = _Tp(1) / _Tp(14);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps, _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn) / _Tp(3);
              __xndev = 2 - (__mu + __xn) / __mu;
              __yndev = 2 - (__mu + __yn) / __mu;
              __zndev = 2 - (__mu + __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          const _Tp __e2 = __xndev * __yndev - __zndev * __zndev;
          const _Tp __e3 = __xndev * __yndev * __zndev;
          const _Tp __s = _Tp(1) + (__c1 * __e2 - __c2 - __c3 * __e3) * __e2
                   + __c4 * __e3;

          return __s / std::sqrt(__mu);
        }
    }
# 153 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk / _Tp(4);
      _Tp __sum = _Tp(1) + __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          __term *= (2 * __i - 1) * __kk / (2 * __i);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __numeric_constants<_Tp>::__pi_2() * __sum;
    }
# 191 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) >= _Tp(1))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __ellint_rf(_Tp(0), _Tp(1) - __k * __k, _Tp(1));
    }
# 219 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_1(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_1."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __s = std::sin(__phi_red);
          const _Tp __c = std::cos(__phi_red);

          const _Tp __F = __s
                        * __ellint_rf(__c * __c,
                                _Tp(1) - __k * __k * __s * __s, _Tp(1));

          if (__n == 0)
            return __F;
          else
            return __F + _Tp(2) * __n * __comp_ellint_1(__k);
        }
    }
# 266 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk;
      _Tp __sum = __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          const _Tp __i2m = 2 * __i - 1;
          const _Tp __i2 = 2 * __i;
          __term *= __i2m * __i2m * __kk / (__i2 * __i2);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term / __i2m;
        }

      return __numeric_constants<_Tp>::__pi_2() * (_Tp(1) - __sum);
    }
# 314 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rd(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(2) / std::pow(__max, _Tp(2) / _Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rd.")
                                                        );
      else if (__x + __y < __lolim || __z < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rd.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(6);
          const _Tp __c3 = _Tp(9) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + _Tp(3) * __zn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              _Tp __xnroot = std::sqrt(__xn);
              _Tp __ynroot = std::sqrt(__yn);
              _Tp __znroot = std::sqrt(__zn);
              _Tp __lambda = __xnroot * (__ynroot + __znroot)
                           + __ynroot * __znroot;
              __sigma += __power4 / (__znroot * (__zn + __lambda));
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          _Tp __ea = __xndev * __yndev;
          _Tp __eb = __zndev * __zndev;
          _Tp __ec = __ea - __eb;
          _Tp __ed = __ea - _Tp(6) * __eb;
          _Tp __ef = __ed + __ec + __ec;
          _Tp __s1 = __ed * (-__c1 + __c3 * __ed
                                   / _Tp(3) - _Tp(3) * __c4 * __zndev * __ef
                                   / _Tp(2));
          _Tp __s2 = __zndev
                   * (__c2 * __ef
                    + __zndev * (-__c3 * __ec - __zndev * __c4 - __ea));

          return _Tp(3) * __sigma + __power4 * (_Tp(1) + __s1 + __s2)
                                        / (__mu * std::sqrt(__mu));
        }
    }
# 399 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) == 1)
        return _Tp(1);
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_2."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               - __kk * __ellint_rd(_Tp(0), _Tp(1) - __kk, _Tp(1)) / _Tp(3);
        }
    }
# 433 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_2(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_2."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __E = __s
                        * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        - __kk * __sss
                        * __ellint_rd(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        / _Tp(3);

          if (__n == 0)
            return __E;
          else
            return __E + _Tp(2) * __n * __comp_ellint_2(__k);
        }
    }
# 492 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rc(_Tp __x, _Tp __y)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __x + __y < __lolim)
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rc.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(7);
          const _Tp __c2 = _Tp(9) / _Tp(22);
          const _Tp __c3 = _Tp(3) / _Tp(10);
          const _Tp __c4 = _Tp(3) / _Tp(8);

          _Tp __xn = __x;
          _Tp __yn = __y;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(30), _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __sn;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + _Tp(2) * __yn) / _Tp(3);
              __sn = (__yn + __mu) / __mu - _Tp(2);
              if (std::abs(__sn) < __errtol)
                break;
              const _Tp __lambda = _Tp(2) * std::sqrt(__xn) * std::sqrt(__yn)
                             + __yn;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
            }

          _Tp __s = __sn * __sn
                  * (__c3 + __sn*(__c1 + __sn * (__c4 + __sn * __c2)));

          return (_Tp(1) + __s) / std::sqrt(__mu);
        }
    }
# 561 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rj(_Tp __x, _Tp __y, _Tp __z, _Tp __p)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = std::pow(_Tp(5) * __min, _Tp(1)/_Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rj.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim || __p < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rj")
                                                       );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(3);
          const _Tp __c3 = _Tp(3) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __pn = __p;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev, __pndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn + _Tp(2) * __pn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              __pndev = (__mu - __pn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              __epsilon = std::max(__epsilon, std::abs(__pndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              const _Tp __alpha1 = __pn * (__xnroot + __ynroot + __znroot)
                                + __xnroot * __ynroot * __znroot;
              const _Tp __alpha2 = __alpha1 * __alpha1;
              const _Tp __beta = __pn * (__pn + __lambda)
                                      * (__pn + __lambda);
              __sigma += __power4 * __ellint_rc(__alpha2, __beta);
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
              __pn = __c0 * (__pn + __lambda);
            }

          _Tp __ea = __xndev * (__yndev + __zndev) + __yndev * __zndev;
          _Tp __eb = __xndev * __yndev * __zndev;
          _Tp __ec = __pndev * __pndev;
          _Tp __e2 = __ea - _Tp(3) * __ec;
          _Tp __e3 = __eb + _Tp(2) * __pndev * (__ea - __ec);
          _Tp __s1 = _Tp(1) + __e2 * (-__c1 + _Tp(3) * __c3 * __e2 / _Tp(4)
                            - _Tp(3) * __c4 * __e3 / _Tp(2));
          _Tp __s2 = __eb * (__c2 / _Tp(2)
                   + __pndev * (-__c3 - __c3 + __pndev * __c4));
          _Tp __s3 = __pndev * __ea * (__c2 - __pndev * __c3)
                   - __c2 * __pndev * __ec;

          return _Tp(3) * __sigma + __power4 * (__s1 + __s2 + __s3)
                                             / (__mu * std::sqrt(__mu));
        }
    }
# 661 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_3(_Tp __k, _Tp __nu)
    {

      if (__isnan(__k) || __isnan(__nu))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__nu == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_3."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               + __nu
               * __ellint_rj(_Tp(0), _Tp(1) - __kk, _Tp(1), _Tp(1) - __nu)
               / _Tp(3);
        }
    }
# 701 "/usr/include/c++/13/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_3(_Tp __k, _Tp __nu, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__nu) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_3."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __Pi = __s
                         * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                         + __nu * __sss
                         * __ellint_rj(__cc, _Tp(1) - __kk * __ss, _Tp(1),
                                       _Tp(1) - __nu * __ss) / _Tp(3);

          if (__n == 0)
            return __Pi;
          else
            return __Pi + _Tp(2) * __n * __comp_ellint_3(__k, __nu);
        }
    }
  }





}
# 51 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/exp_integral.tcc" 1 3
# 50 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 64 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
  namespace __detail
  {
    template<typename _Tp> _Tp __expint_E1(_Tp);
# 81 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_series(_Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(0);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= - __x / __i;
          if (std::abs(__term) < __eps)
            break;
          if (__term >= _Tp(0))
            __esum += __term / __i;
          else
            __osum += __term / __i;
        }

      return - __esum - __osum
             - __numeric_constants<_Tp>::__gamma_e() - std::log(__x);
    }
# 118 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(1);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= - __i / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          if (__term >= _Tp(0))
            __esum += __term;
          else
            __osum += __term;
        }

      return std::exp(- __x) * (__esum + __osum) / __x;
    }
# 155 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_series(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const int __nm1 = __n - 1;
      _Tp __ans = (__nm1 != 0
                ? _Tp(1) / __nm1 : -std::log(__x)
                                   - __numeric_constants<_Tp>::__gamma_e());
      _Tp __fact = _Tp(1);
      for (int __i = 1; __i <= __max_iter; ++__i)
        {
          __fact *= -__x / _Tp(__i);
          _Tp __del;
          if ( __i != __nm1 )
            __del = -__fact / _Tp(__i - __nm1);
          else
            {
              _Tp __psi = -__numeric_constants<_Tp>::gamma_e();
              for (int __ii = 1; __ii <= __nm1; ++__ii)
                __psi += _Tp(1) / _Tp(__ii);
              __del = __fact * (__psi - std::log(__x));
            }
          __ans += __del;
          if (std::abs(__del) < __eps * std::abs(__ans))
            return __ans;
        }
      std::__throw_runtime_error(("Series summation failed " "in __expint_En_series.")
                                                              );
    }
# 201 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_cont_frac(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = std::numeric_limits<_Tp>::min();
      const int __nm1 = __n - 1;
      _Tp __b = __x + _Tp(__n);
      _Tp __c = _Tp(1) / __fp_min;
      _Tp __d = _Tp(1) / __b;
      _Tp __h = __d;
      for ( unsigned int __i = 1; __i <= __max_iter; ++__i )
        {
          _Tp __a = -_Tp(__i * (__nm1 + __i));
          __b += _Tp(2);
          __d = _Tp(1) / (__a * __d + __b);
          __c = __b + __a / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            {
              const _Tp __ans = __h * std::exp(-__x);
              return __ans;
            }
        }
      std::__throw_runtime_error(("Continued fraction failed " "in __expint_En_cont_frac.")
                                                                 );
    }
# 246 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_recursion(unsigned int __n, _Tp __x)
    {
      _Tp __En;
      _Tp __E1 = __expint_E1(__x);
      if (__x < _Tp(__n))
        {

          __En = __E1;
          for (unsigned int __j = 2; __j < __n; ++__j)
            __En = (std::exp(-__x) - __x * __En) / _Tp(__j - 1);
        }
      else
        {

          __En = _Tp(1);
          const int __N = __n + 20;
          _Tp __save = _Tp(0);
          for (int __j = __N; __j > 0; --__j)
            {
              __En = (std::exp(-__x) - __j * __En) / __x;
              if (__j == __n)
                __save = __En;
            }
            _Tp __norm = __En / __E1;
            __En /= __norm;
        }

      return __En;
    }
# 290 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_series(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __x / __i;
          __sum += __term / __i;
          if (__term < std::numeric_limits<_Tp>::epsilon() * __sum)
            break;
        }

      return __numeric_constants<_Tp>::__gamma_e() + __sum + std::log(__x);
    }
# 321 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= __i / __x;
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          if (__term >= __prev)
            break;
          __sum += __term;
        }

      return std::exp(__x) * __sum / __x;
    }
# 354 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_E1(-__x);
      else if (__x < -std::log(std::numeric_limits<_Tp>::epsilon()))
        return __expint_Ei_series(__x);
      else
        return __expint_Ei_asymp(__x);
    }
# 378 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_Ei(-__x);
      else if (__x < _Tp(1))
        return __expint_E1_series(__x);
      else if (__x < _Tp(100))
        return __expint_En_cont_frac(1, __x);
      else
        return __expint_E1_asymp(__x);
    }
# 408 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_asymp(unsigned int __n, _Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= -(__n - __i + 1) / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __x;
    }
# 442 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_large_n(unsigned int __n, _Tp __x)
    {
      const _Tp __xpn = __x + __n;
      const _Tp __xpn2 = __xpn * __xpn;
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= (__n - 2 * (__i - 1) * __x) / __xpn2;
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __xpn;
    }
# 476 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint(unsigned int __n, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n <= 1 && __x == _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __E0 = std::exp(__x) / __x;
          if (__n == 0)
            return __E0;

          _Tp __E1 = __expint_E1(__x);
          if (__n == 1)
            return __E1;

          if (__x == _Tp(0))
            return _Tp(1) / static_cast<_Tp>(__n - 1);

          _Tp __En = __expint_En_recursion(__n, __x);

          return __En;
        }
    }
# 516 "/usr/include/c++/13/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    inline _Tp
    __expint(_Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __expint_Ei(__x);
    }
  }





}
# 52 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/hypergeometric.tcc" 1 3
# 44 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
  namespace __detail
  {
# 83 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_series(_Tp __a, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fac = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fac += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __conf_hyperg_series.")
                                                                  );

      return __Fac;
    }
# 120 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_luke(_Tp __a, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a / __c;
      const _Tp __t1 = (__a + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) / (_Tp(2) * (__c + _Tp(1)));
      _Tp __F = _Tp(1);
      _Tp __prec;

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while(1)
        {
          _Tp __npam1 = _Tp(__n - 1) + __a;
          _Tp __npcm1 = _Tp(__n - 1) + __c;
          _Tp __npam2 = _Tp(__n - 2) + __a;
          _Tp __npcm2 = _Tp(__n - 2) + __c;
          _Tp __tnm1 = _Tp(2 * __n - 1);
          _Tp __tnm3 = _Tp(2 * __n - 3);
          _Tp __tnm5 = _Tp(2 * __n - 5);
          _Tp __F1 = (_Tp(__n - 2) - __a) / (_Tp(2) * __tnm3 * __npcm1);
          _Tp __F2 = (_Tp(__n) + __a) * __npam1
                   / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          _Tp __F3 = -__npam2 * __npam1 * (_Tp(__n - 2) - __a)
                   / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                   * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          _Tp __E = -__npam1 * (_Tp(__n - 1) - __c)
                   / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          _Tp __r = __An / __Bn;

          __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __conf_hyperg_luke.")
                                                                );

      return __F;
    }
# 227 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg(_Tp __a, _Tp __c, _Tp __x)
    {

      const _Tp __c_nint = ::std::nearbyint(__c);



      if (__isnan(__a) || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= 0)
        return std::numeric_limits<_Tp>::infinity();
      else if (__a == _Tp(0))
        return _Tp(1);
      else if (__c == __a)
        return std::exp(__x);
      else if (__x < _Tp(0))
        return __conf_hyperg_luke(__a, __c, __x);
      else
        return __conf_hyperg_series(__a, __c, __x);
    }
# 271 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_series(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fabc = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * (__b + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fabc += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __hyperg_series.")
                                                             );

      return __Fabc;
    }







    template<typename _Tp>
    _Tp
    __hyperg_luke(_Tp __a, _Tp __b, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a * __b / __c;
      const _Tp __t1 = (__a + _Tp(1)) * (__b + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) * (__b + _Tp(2))
                     / (_Tp(2) * (__c + _Tp(1)));

      _Tp __F = _Tp(1);

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while (1)
        {
          const _Tp __npam1 = _Tp(__n - 1) + __a;
          const _Tp __npbm1 = _Tp(__n - 1) + __b;
          const _Tp __npcm1 = _Tp(__n - 1) + __c;
          const _Tp __npam2 = _Tp(__n - 2) + __a;
          const _Tp __npbm2 = _Tp(__n - 2) + __b;
          const _Tp __npcm2 = _Tp(__n - 2) + __c;
          const _Tp __tnm1 = _Tp(2 * __n - 1);
          const _Tp __tnm3 = _Tp(2 * __n - 3);
          const _Tp __tnm5 = _Tp(2 * __n - 5);
          const _Tp __n2 = __n * __n;
          const _Tp __F1 = (_Tp(3) * __n2 + (__a + __b - _Tp(6)) * __n
                         + _Tp(2) - __a * __b - _Tp(2) * (__a + __b))
                         / (_Tp(2) * __tnm3 * __npcm1);
          const _Tp __F2 = -(_Tp(3) * __n2 - (__a + __b + _Tp(6)) * __n
                         + _Tp(2) - __a * __b) * __npam1 * __npbm1
                         / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          const _Tp __F3 = (__npam2 * __npam1 * __npbm2 * __npbm1
                         * (_Tp(__n - 2) - __a) * (_Tp(__n - 2) - __b))
                         / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                         * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          const _Tp __E = -__npam1 * __npbm1 * (_Tp(__n - 1) - __c)
                         / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          const _Tp __r = __An / __Bn;

          const _Tp __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __hyperg_luke.")
                                                           );

      return __F;
    }
# 438 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_reflect(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __d = __c - __a - __b;
      const int __intd = std::floor(__d + _Tp(0.5L));
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __toler = _Tp(1000) * __eps;
      const _Tp __log_max = std::log(std::numeric_limits<_Tp>::max());
      const bool __d_integer = (std::abs(__d - __intd) < __toler);

      if (__d_integer)
        {
          const _Tp __ln_omx = std::log(_Tp(1) - __x);
          const _Tp __ad = std::abs(__d);
          _Tp __F1, __F2;

          _Tp __d1, __d2;
          if (__d >= _Tp(0))
            {
              __d1 = __d;
              __d2 = _Tp(0);
            }
          else
            {
              __d1 = _Tp(0);
              __d2 = __d;
            }

          const _Tp __lng_c = __log_gamma(__c);


          if (__ad < __eps)
            {

              __F1 = _Tp(0);
            }
          else
            {

              bool __ok_d1 = true;
              _Tp __lng_ad, __lng_ad1, __lng_bd1;
              try
                {
                  __lng_ad = __log_gamma(__ad);
                  __lng_ad1 = __log_gamma(__a + __d1);
                  __lng_bd1 = __log_gamma(__b + __d1);
                }
              catch(...)
                {
                  __ok_d1 = false;
                }

              if (__ok_d1)
                {



                  _Tp __sum1 = _Tp(1);
                  _Tp __term = _Tp(1);
                  _Tp __ln_pre1 = __lng_ad + __lng_c + __d2 * __ln_omx
                                - __lng_ad1 - __lng_bd1;



                  for (int __i = 1; __i < __ad; ++__i)
                    {
                      const int __j = __i - 1;
                      __term *= (__a + __d2 + __j) * (__b + __d2 + __j)
                              / (_Tp(1) + __d2 + __j) / __i * (_Tp(1) - __x);
                      __sum1 += __term;
                    }

                  if (__ln_pre1 > __log_max)
                    std::__throw_runtime_error(("Overflow of gamma functions" " in __hyperg_luke.")
                                                                        );
                  else
                    __F1 = std::exp(__ln_pre1) * __sum1;
                }
              else
                {


                  __F1 = _Tp(0);
                }
            }


          bool __ok_d2 = true;
          _Tp __lng_ad2, __lng_bd2;
          try
            {
              __lng_ad2 = __log_gamma(__a + __d2);
              __lng_bd2 = __log_gamma(__b + __d2);
            }
          catch(...)
            {
              __ok_d2 = false;
            }

          if (__ok_d2)
            {


              const int __maxiter = 2000;
              const _Tp __psi_1 = -__numeric_constants<_Tp>::__gamma_e();
              const _Tp __psi_1pd = __psi(_Tp(1) + __ad);
              const _Tp __psi_apd1 = __psi(__a + __d1);
              const _Tp __psi_bpd1 = __psi(__b + __d1);

              _Tp __psi_term = __psi_1 + __psi_1pd - __psi_apd1
                             - __psi_bpd1 - __ln_omx;
              _Tp __fact = _Tp(1);
              _Tp __sum2 = __psi_term;
              _Tp __ln_pre2 = __lng_c + __d1 * __ln_omx
                            - __lng_ad2 - __lng_bd2;


              int __j;
              for (__j = 1; __j < __maxiter; ++__j)
                {


                  const _Tp __term1 = _Tp(1) / _Tp(__j)
                                    + _Tp(1) / (__ad + __j);
                  const _Tp __term2 = _Tp(1) / (__a + __d1 + _Tp(__j - 1))
                                    + _Tp(1) / (__b + __d1 + _Tp(__j - 1));
                  __psi_term += __term1 - __term2;
                  __fact *= (__a + __d1 + _Tp(__j - 1))
                          * (__b + __d1 + _Tp(__j - 1))
                          / ((__ad + __j) * __j) * (_Tp(1) - __x);
                  const _Tp __delta = __fact * __psi_term;
                  __sum2 += __delta;
                  if (std::abs(__delta) < __eps * std::abs(__sum2))
                    break;
                }
              if (__j == __maxiter)
                std::__throw_runtime_error(("Sum F2 failed to converge " "in __hyperg_reflect")
                                                                     );

              if (__sum2 == _Tp(0))
                __F2 = _Tp(0);
              else
                __F2 = std::exp(__ln_pre2) * __sum2;
            }
          else
            {


              __F2 = _Tp(0);
            }

          const _Tp __sgn_2 = (__intd % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __F = __F1 + __sgn_2 * __F2;

          return __F;
        }
      else
        {




          bool __ok1 = true;
          _Tp __sgn_g1ca = _Tp(0), __ln_g1ca = _Tp(0);
          _Tp __sgn_g1cb = _Tp(0), __ln_g1cb = _Tp(0);
          try
            {
              __sgn_g1ca = __log_gamma_sign(__c - __a);
              __ln_g1ca = __log_gamma(__c - __a);
              __sgn_g1cb = __log_gamma_sign(__c - __b);
              __ln_g1cb = __log_gamma(__c - __b);
            }
          catch(...)
            {
              __ok1 = false;
            }

          bool __ok2 = true;
          _Tp __sgn_g2a = _Tp(0), __ln_g2a = _Tp(0);
          _Tp __sgn_g2b = _Tp(0), __ln_g2b = _Tp(0);
          try
            {
              __sgn_g2a = __log_gamma_sign(__a);
              __ln_g2a = __log_gamma(__a);
              __sgn_g2b = __log_gamma_sign(__b);
              __ln_g2b = __log_gamma(__b);
            }
          catch(...)
            {
              __ok2 = false;
            }

          const _Tp __sgn_gc = __log_gamma_sign(__c);
          const _Tp __ln_gc = __log_gamma(__c);
          const _Tp __sgn_gd = __log_gamma_sign(__d);
          const _Tp __ln_gd = __log_gamma(__d);
          const _Tp __sgn_gmd = __log_gamma_sign(-__d);
          const _Tp __ln_gmd = __log_gamma(-__d);

          const _Tp __sgn1 = __sgn_gc * __sgn_gd * __sgn_g1ca * __sgn_g1cb;
          const _Tp __sgn2 = __sgn_gc * __sgn_gmd * __sgn_g2a * __sgn_g2b;

          _Tp __pre1, __pre2;
          if (__ok1 && __ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre1 < __log_max && __ln_pre2 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre2 = std::exp(__ln_pre2);
                  __pre1 *= __sgn1;
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (__ok1 && !__ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              if (__ln_pre1 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre1 *= __sgn1;
                  __pre2 = _Tp(0);
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (!__ok1 && __ok2)
            {
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre2 < __log_max)
                {
                  __pre1 = _Tp(0);
                  __pre2 = std::exp(__ln_pre2);
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else
            {
              __pre1 = _Tp(0);
              __pre2 = _Tp(0);
              std::__throw_runtime_error(("Underflow of gamma functions " "in __hyperg_reflect")
                                                                   );
            }

          const _Tp __F1 = __hyperg_series(__a, __b, _Tp(1) - __d,
                                           _Tp(1) - __x);
          const _Tp __F2 = __hyperg_series(__c - __a, __c - __b, _Tp(1) + __d,
                                           _Tp(1) - __x);

          const _Tp __F = __pre1 * __F1 + __pre2 * __F2;

          return __F;
        }
    }
# 728 "/usr/include/c++/13/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {

      const _Tp __a_nint = ::std::nearbyint(__a);
      const _Tp __b_nint = ::std::nearbyint(__b);
      const _Tp __c_nint = ::std::nearbyint(__c);





      const _Tp __toler = _Tp(1000) * std::numeric_limits<_Tp>::epsilon();
      if (std::abs(__x) >= _Tp(1))
        std::__throw_domain_error(("Argument outside unit circle " "in __hyperg.")
                                                     );
      else if (__isnan(__a) || __isnan(__b)
            || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__c - __b) < __toler || std::abs(__c - __a) < __toler)
        return std::pow(_Tp(1) - __x, __c - __a - __b);
      else if (__a >= _Tp(0) && __b >= _Tp(0) && __c >= _Tp(0)
            && __x >= _Tp(0) && __x < _Tp(0.995L))
        return __hyperg_series(__a, __b, __c, __x);
      else if (std::abs(__a) < _Tp(10) && std::abs(__b) < _Tp(10))
        {


          if (__a < _Tp(0) && std::abs(__a - __a_nint) < __toler)
            return __hyperg_series(__a_nint, __b, __c, __x);
          else if (__b < _Tp(0) && std::abs(__b - __b_nint) < __toler)
            return __hyperg_series(__a, __b_nint, __c, __x);
          else if (__x < -_Tp(0.25L))
            return __hyperg_luke(__a, __b, __c, __x);
          else if (__x < _Tp(0.5L))
            return __hyperg_series(__a, __b, __c, __x);
          else
            if (std::abs(__c) > _Tp(10))
              return __hyperg_series(__a, __b, __c, __x);
            else
              return __hyperg_reflect(__a, __b, __c, __x);
        }
      else
        return __hyperg_luke(__a, __b, __c, __x);
    }
  }






}
# 53 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/legendre_function.tcc" 1 3
# 49 "/usr/include/c++/13/tr1/legendre_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/13/tr1/legendre_function.tcc" 3
  namespace __detail
  {
# 80 "/usr/include/c++/13/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_legendre_p(unsigned int __l, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == +_Tp(1))
        return +_Tp(1);
      else if (__x == -_Tp(1))
        return (__l % 2 == 1 ? -_Tp(1) : +_Tp(1));
      else
        {
          _Tp __p_lm2 = _Tp(1);
          if (__l == 0)
            return __p_lm2;

          _Tp __p_lm1 = __x;
          if (__l == 1)
            return __p_lm1;

          _Tp __p_l = 0;
          for (unsigned int __ll = 2; __ll <= __l; ++__ll)
            {


              __p_l = _Tp(2) * __x * __p_lm1 - __p_lm2
                    - (__x * __p_lm1 - __p_lm2) / _Tp(__ll);
              __p_lm2 = __p_lm1;
              __p_lm1 = __p_l;
            }

          return __p_l;
        }
    }
# 136 "/usr/include/c++/13/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __assoc_legendre_p(unsigned int __l, unsigned int __m, _Tp __x,
         _Tp __phase = _Tp(+1))
    {

      if (__m > __l)
        return _Tp(0);
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__m == 0)
        return __poly_legendre_p(__l, __x);
      else
        {
          _Tp __p_mm = _Tp(1);
          if (__m > 0)
            {


              _Tp __root = std::sqrt(_Tp(1) - __x) * std::sqrt(_Tp(1) + __x);
              _Tp __fact = _Tp(1);
              for (unsigned int __i = 1; __i <= __m; ++__i)
                {
                  __p_mm *= __phase * __fact * __root;
                  __fact += _Tp(2);
                }
            }
          if (__l == __m)
            return __p_mm;

          _Tp __p_mp1m = _Tp(2 * __m + 1) * __x * __p_mm;
          if (__l == __m + 1)
            return __p_mp1m;

          _Tp __p_lm2m = __p_mm;
          _Tp __P_lm1m = __p_mp1m;
          _Tp __p_lm = _Tp(0);
          for (unsigned int __j = __m + 2; __j <= __l; ++__j)
            {
              __p_lm = (_Tp(2 * __j - 1) * __x * __P_lm1m
                      - _Tp(__j + __m - 1) * __p_lm2m) / _Tp(__j - __m);
              __p_lm2m = __P_lm1m;
              __P_lm1m = __p_lm;
            }

          return __p_lm;
        }
    }
# 214 "/usr/include/c++/13/tr1/legendre_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      if (__isnan(__theta))
        return std::numeric_limits<_Tp>::quiet_NaN();

      const _Tp __x = std::cos(__theta);

      if (__m > __l)
        return _Tp(0);
      else if (__m == 0)
        {
          _Tp __P = __poly_legendre_p(__l, __x);
          _Tp __fact = std::sqrt(_Tp(2 * __l + 1)
                     / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          __P *= __fact;
          return __P;
        }
      else if (__x == _Tp(1) || __x == -_Tp(1))
        {

          return _Tp(0);
        }
      else
        {





          const _Tp __sgn = ( __m % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __y_mp1m_factor = __x * std::sqrt(_Tp(2 * __m + 3));

          const _Tp __lncirc = ::std::log1p(-__x * __x);





          const _Tp __lnpoch = ::std::lgamma(_Tp(__m + _Tp(0.5L)))
                             - ::std::lgamma(_Tp(__m));




          const _Tp __lnpre_val =
                    -_Tp(0.25L) * __numeric_constants<_Tp>::__lnpi()
                    + _Tp(0.5L) * (__lnpoch + __m * __lncirc);
          const _Tp __sr = std::sqrt((_Tp(2) + _Tp(1) / __m)
                         / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          _Tp __y_mm = __sgn * __sr * std::exp(__lnpre_val);
          _Tp __y_mp1m = __y_mp1m_factor * __y_mm;

          if (__l == __m)
            return __y_mm;
          else if (__l == __m + 1)
            return __y_mp1m;
          else
            {
              _Tp __y_lm = _Tp(0);


              for (unsigned int __ll = __m + 2; __ll <= __l; ++__ll)
                {
                  const _Tp __rat1 = _Tp(__ll - __m) / _Tp(__ll + __m);
                  const _Tp __rat2 = _Tp(__ll - __m - 1) / _Tp(__ll + __m - 1);
                  const _Tp __fact1 = std::sqrt(__rat1 * _Tp(2 * __ll + 1)
                                                       * _Tp(2 * __ll - 1));
                  const _Tp __fact2 = std::sqrt(__rat1 * __rat2 * _Tp(2 * __ll + 1)
                                                                / _Tp(2 * __ll - 3));
                  __y_lm = (__x * __y_mp1m * __fact1
                         - (__ll + __m - 1) * __y_mm * __fact2) / _Tp(__ll - __m);
                  __y_mm = __y_mp1m;
                  __y_mp1m = __y_lm;
                }

              return __y_lm;
            }
        }
    }
  }






}
# 54 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 1 3
# 51 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
  namespace __detail
  {
# 83 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __bessel_ik(_Tp __nu, _Tp __x,
                _Tp & __Inu, _Tp & __Knu, _Tp & __Ipnu, _Tp & __Kpnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Inu = _Tp(1);
              __Ipnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0.5L);
            }
          else
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0);
            }
          __Knu = std::numeric_limits<_Tp>::infinity();
          __Kpnu = -std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = _Tp(10) * std::numeric_limits<_Tp>::epsilon();
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = static_cast<int>(__nu + _Tp(0.5L));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __h = __nu * __xi;
      if ( __h < __fp_min )
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for ( __i = 1; __i <= __max_iter; ++__i )
        {
          __b += __xi2;
          __d = _Tp(1) / (__b + __d);
          __c = __b + _Tp(1) / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large " "in __bessel_ik; " "try asymptotic expansion.")

                                                                   );
      _Tp __Inul = __fp_min;
      _Tp __Ipnul = __h * __Inul;
      _Tp __Inul1 = __Inul;
      _Tp __Ipnu1 = __Ipnul;
      _Tp __fact = __nu * __xi;
      for (int __l = __nl; __l >= 1; --__l)
        {
          const _Tp __Inutemp = __fact * __Inul + __Ipnul;
          __fact -= __xi;
          __Ipnul = __fact * __Inutemp + __Inul;
          __Inul = __Inutemp;
        }
      _Tp __f = __Ipnul / __Inul;
      _Tp __Kmu, __Knu1;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          const _Tp __fact = (std::abs(__pimu) < __eps
                            ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          const _Tp __fact2 = (std::abs(__e) < __eps
                            ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = __fact
                   * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          _Tp __sum = __ff;
          __e = std::exp(__e);
          _Tp __p = __e / (_Tp(2) * __gampl);
          _Tp __q = _Tp(1) / (_Tp(2) * __e * __gammi);
          _Tp __c = _Tp(1);
          __d = __x2 * __x2;
          _Tp __sum1 = __p;
          int __i;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / __i;
              __p /= __i - __mu;
              __q /= __i + __mu;
              const _Tp __del = __c * __ff;
              __sum += __del;
              const _Tp __del1 = __c * (__p - __i * __ff);
              __sum1 += __del1;
              if (std::abs(__del) < __eps * std::abs(__sum))
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Bessel k series failed to converge " "in __bessel_ik.")
                                                             );
          __Kmu = __sum;
          __Knu1 = __sum1 * __xi2;
        }
      else
        {
          _Tp __b = _Tp(2) * (_Tp(1) + __x);
          _Tp __d = _Tp(1) / __b;
          _Tp __delh = __d;
          _Tp __h = __delh;
          _Tp __q1 = _Tp(0);
          _Tp __q2 = _Tp(1);
          _Tp __a1 = _Tp(0.25L) - __mu2;
          _Tp __q = __c = __a1;
          _Tp __a = -__a1;
          _Tp __s = _Tp(1) + __q * __delh;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a -= 2 * (__i - 1);
              __c = -__a * __c / __i;
              const _Tp __qnew = (__q1 - __b * __q2) / __a;
              __q1 = __q2;
              __q2 = __qnew;
              __q += __c * __qnew;
              __b += _Tp(2);
              __d = _Tp(1) / (__b + __a * __d);
              __delh = (__b * __d - _Tp(1)) * __delh;
              __h += __delh;
              const _Tp __dels = __q * __delh;
              __s += __dels;
              if ( std::abs(__dels / __s) < __eps )
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Steed's method failed " "in __bessel_ik.")
                                                             );
          __h = __a1 * __h;
          __Kmu = std::sqrt(__numeric_constants<_Tp>::__pi() / (_Tp(2) * __x))
                * std::exp(-__x) / __s;
          __Knu1 = __Kmu * (__mu + __x + _Tp(0.5L) - __h) * __xi;
        }

      _Tp __Kpmu = __mu * __xi * __Kmu - __Knu1;
      _Tp __Inumu = __xi / (__f * __Kmu - __Kpmu);
      __Inu = __Inumu * __Inul1 / __Inul;
      __Ipnu = __Inumu * __Ipnu1 / __Inul;
      for ( __i = 1; __i <= __nl; ++__i )
        {
          const _Tp __Knutemp = (__mu + __i) * __xi2 * __Knu1 + __Kmu;
          __Kmu = __Knu1;
          __Knu1 = __Knutemp;
        }
      __Knu = __Kmu;
      __Kpnu = __nu * __xi * __Kmu - __Knu1;

      return;
    }
# 267 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_i(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_i.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, +_Tp(1), 200);
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __I_nu;
        }
    }
# 303 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_k(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_k.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __K_nu;
        }
    }
# 337 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_ik(unsigned int __n, _Tp __x,
                    _Tp & __i_n, _Tp & __k_n, _Tp & __ip_n, _Tp & __kp_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
      __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __i_n = __factor * __I_nu;
      __k_n = __factor * __K_nu;
      __ip_n = __factor * __Ip_nu - __i_n / (_Tp(2) * __x);
      __kp_n = __factor * __Kp_nu - __k_n / (_Tp(2) * __x);

      return;
    }
# 373 "/usr/include/c++/13/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __airy(_Tp __x, _Tp & __Ai, _Tp & __Bi, _Tp & __Aip, _Tp & __Bip)
    {
      const _Tp __absx = std::abs(__x);
      const _Tp __rootx = std::sqrt(__absx);
      const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
      const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();

      if (__isnan(__x))
        __Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
      else if (__z == _S_inf)
        {
   __Aip = __Ai = _Tp(0);
   __Bip = __Bi = _S_inf;
 }
      else if (__z == -_S_inf)
 __Bip = __Aip = __Bi = __Ai = _Tp(0);
      else if (__x > _Tp(0))
        {
          _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;

          __bessel_ik(_Tp(1) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Ai = __rootx * __K_nu
               / (__numeric_constants<_Tp>::__sqrt3()
                * __numeric_constants<_Tp>::__pi());
          __Bi = __rootx * (__K_nu / __numeric_constants<_Tp>::__pi()
                 + _Tp(2) * __I_nu / __numeric_constants<_Tp>::__sqrt3());

          __bessel_ik(_Tp(2) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Aip = -__x * __K_nu
                / (__numeric_constants<_Tp>::__sqrt3()
                 * __numeric_constants<_Tp>::__pi());
          __Bip = __x * (__K_nu / __numeric_constants<_Tp>::__pi()
                      + _Tp(2) * __I_nu
                      / __numeric_constants<_Tp>::__sqrt3());
        }
      else if (__x < _Tp(0))
        {
          _Tp __J_nu, __Jp_nu, __N_nu, __Np_nu;

          __bessel_jn(_Tp(1) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Ai = __rootx * (__J_nu
                    - __N_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);
          __Bi = -__rootx * (__N_nu
                    + __J_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);

          __bessel_jn(_Tp(2) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Aip = __absx * (__N_nu / __numeric_constants<_Tp>::__sqrt3()
                          + __J_nu) / _Tp(2);
          __Bip = __absx * (__J_nu / __numeric_constants<_Tp>::__sqrt3()
                          - __N_nu) / _Tp(2);
        }
      else
        {



          __Ai = _Tp(0.35502805388781723926L);
          __Bi = __Ai * __numeric_constants<_Tp>::__sqrt3();




          __Aip = -_Tp(0.25881940379280679840L);
          __Bip = -__Aip * __numeric_constants<_Tp>::__sqrt3();
        }

      return;
    }
  }





}
# 55 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/poly_hermite.tcc" 1 3
# 42 "/usr/include/c++/13/tr1/poly_hermite.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 56 "/usr/include/c++/13/tr1/poly_hermite.tcc" 3
  namespace __detail
  {
# 72 "/usr/include/c++/13/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_hermite_recursion(unsigned int __n, _Tp __x)
    {

      _Tp __H_0 = 1;
      if (__n == 0)
        return __H_0;


      _Tp __H_1 = 2 * __x;
      if (__n == 1)
        return __H_1;


      _Tp __H_n, __H_nm1, __H_nm2;
      unsigned int __i;
      for (__H_nm2 = __H_0, __H_nm1 = __H_1, __i = 2; __i <= __n; ++__i)
        {
          __H_n = 2 * (__x * __H_nm1 - (__i - 1) * __H_nm2);
          __H_nm2 = __H_nm1;
          __H_nm1 = __H_n;
        }

      return __H_n;
    }
# 114 "/usr/include/c++/13/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    inline _Tp
    __poly_hermite(unsigned int __n, _Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __poly_hermite_recursion(__n, __x);
    }
  }





}
# 56 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 1 3
# 44 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
  namespace __detail
  {
# 75 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_large_n(unsigned __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __a = -_Tp(__n);
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __eta = _Tp(2) * __b - _Tp(4) * __a;
      const _Tp __cos2th = __x / __eta;
      const _Tp __sin2th = _Tp(1) - __cos2th;
      const _Tp __th = std::acos(std::sqrt(__cos2th));
      const _Tp __pre_h = __numeric_constants<_Tp>::__pi_2()
                        * __numeric_constants<_Tp>::__pi_2()
                        * __eta * __eta * __cos2th * __sin2th;


      const _Tp __lg_b = ::std::lgamma(_Tp(__n) + __b);
      const _Tp __lnfact = ::std::lgamma(_Tp(__n + 1));





      _Tp __pre_term1 = _Tp(0.5L) * (_Tp(1) - __b)
                      * std::log(_Tp(0.25L) * __x * __eta);
      _Tp __pre_term2 = _Tp(0.25L) * std::log(__pre_h);
      _Tp __lnpre = __lg_b - __lnfact + _Tp(0.5L) * __x
                      + __pre_term1 - __pre_term2;
      _Tp __ser_term1 = std::sin(__a * __numeric_constants<_Tp>::__pi());
      _Tp __ser_term2 = std::sin(_Tp(0.25L) * __eta
                              * (_Tp(2) * __th
                               - std::sin(_Tp(2) * __th))
                               + __numeric_constants<_Tp>::__pi_4());
      _Tp __ser = __ser_term1 + __ser_term2;

      return std::exp(__lnpre) * __ser;
    }
# 129 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_hyperg(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __mx = -__x;
      const _Tp __tc_sgn = (__x < _Tp(0) ? _Tp(1)
                         : ((__n % 2 == 1) ? -_Tp(1) : _Tp(1)));

      _Tp __tc = _Tp(1);
      const _Tp __ax = std::abs(__x);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __tc *= (__ax / __k);

      _Tp __term = __tc * __tc_sgn;
      _Tp __sum = __term;
      for (int __k = int(__n) - 1; __k >= 0; --__k)
        {
          __term *= ((__b + _Tp(__k)) / _Tp(int(__n) - __k))
                  * _Tp(__k + 1) / __mx;
          __sum += __term;
        }

      return __sum;
    }
# 185 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_recursion(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {

      _Tp __l_0 = _Tp(1);
      if (__n == 0)
        return __l_0;


      _Tp __l_1 = -__x + _Tp(1) + _Tp(__alpha1);
      if (__n == 1)
        return __l_1;


      _Tp __l_n2 = __l_0;
      _Tp __l_n1 = __l_1;
      _Tp __l_n = _Tp(0);
      for (unsigned int __nn = 2; __nn <= __n; ++__nn)
        {
            __l_n = (_Tp(2 * __nn - 1) + _Tp(__alpha1) - __x)
                  * __l_n1 / _Tp(__nn)
                  - (_Tp(__nn - 1) + _Tp(__alpha1)) * __l_n2 / _Tp(__nn);
            __l_n2 = __l_n1;
            __l_n1 = __l_n;
        }

      return __l_n;
    }
# 244 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Negative argument " "in __poly_laguerre.")
                                                            );

      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n == 0)
        return _Tp(1);
      else if (__n == 1)
        return _Tp(1) + _Tp(__alpha1) - __x;
      else if (__x == _Tp(0))
        {
          _Tp __prod = _Tp(__alpha1) + _Tp(1);
          for (unsigned int __k = 2; __k <= __n; ++__k)
            __prod *= (_Tp(__alpha1) + _Tp(__k)) / _Tp(__k);
          return __prod;
        }
      else if (__n > 10000000 && _Tp(__alpha1) > -_Tp(1)
            && __x < _Tp(2) * (_Tp(__alpha1) + _Tp(1)) + _Tp(4 * __n))
        return __poly_laguerre_large_n(__n, __alpha1, __x);
      else if (_Tp(__alpha1) >= _Tp(0)
           || (__x > _Tp(0) && _Tp(__alpha1) < -_Tp(__n + 1)))
        return __poly_laguerre_recursion(__n, __alpha1, __x);
      else
        return __poly_laguerre_hyperg(__n, __alpha1, __x);
    }
# 296 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, __m, __x); }
# 316 "/usr/include/c++/13/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __laguerre(unsigned int __n, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, 0, __x); }
  }






}
# 57 "/usr/include/c++/13/bits/specfun.h" 2 3
# 1 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 1 3
# 47 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 63 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
  namespace __detail
  {
# 78 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_sum(_Tp __s)
    {

      if (__s < _Tp(1))
        std::__throw_domain_error(("Bad argument in zeta sum."));

      const unsigned int max_iter = 10000;
      _Tp __zeta = _Tp(0);
      for (unsigned int __k = 1; __k < max_iter; ++__k)
        {
          _Tp __term = std::pow(static_cast<_Tp>(__k), -__s);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            {
              break;
            }
          __zeta += __term;
        }

      return __zeta;
    }
# 115 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_alt(_Tp __s)
    {
      _Tp __sgn = _Tp(1);
      _Tp __zeta = _Tp(0);
      for (unsigned int __i = 1; __i < 10000000; ++__i)
        {
          _Tp __term = __sgn / std::pow(__i, __s);
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __zeta += __term;
          __sgn *= _Tp(-1);
        }
      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 157 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_glob(_Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);



      if (__s < _Tp(0))
        {

          if (::std::fmod(__s,_Tp(2)) == _Tp(0))
            return _Tp(0);
          else

            {
              _Tp __zeta = __riemann_zeta_glob(_Tp(1) - __s);
              __zeta *= std::pow(_Tp(2)
                     * __numeric_constants<_Tp>::__pi(), __s)
                     * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                     * std::exp(::std::lgamma(_Tp(1) - __s))



                     / __numeric_constants<_Tp>::__pi();
              return __zeta;
            }
        }

      _Tp __num = _Tp(0.5L);
      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(1 + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term *= __num;
          __zeta += __term;
          if (std::abs(__term/__zeta) < __eps)
            break;
          __num *= _Tp(0.5L);
        }

      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 252 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_product(_Tp __s)
    {
      static const _Tp __prime[] = {
        _Tp(2), _Tp(3), _Tp(5), _Tp(7), _Tp(11), _Tp(13), _Tp(17), _Tp(19),
        _Tp(23), _Tp(29), _Tp(31), _Tp(37), _Tp(41), _Tp(43), _Tp(47),
        _Tp(53), _Tp(59), _Tp(61), _Tp(67), _Tp(71), _Tp(73), _Tp(79),
        _Tp(83), _Tp(89), _Tp(97), _Tp(101), _Tp(103), _Tp(107), _Tp(109)
      };
      static const unsigned int __num_primes = sizeof(__prime) / sizeof(_Tp);

      _Tp __zeta = _Tp(1);
      for (unsigned int __i = 0; __i < __num_primes; ++__i)
        {
          const _Tp __fact = _Tp(1) - std::pow(__prime[__i], -__s);
          __zeta *= __fact;
          if (_Tp(1) - __fact < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      __zeta = _Tp(1) / __zeta;

      return __zeta;
    }
# 293 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta(_Tp __s)
    {
      if (__isnan(__s))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__s == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (__s < -_Tp(19))
        {
          _Tp __zeta = __riemann_zeta_product(_Tp(1) - __s);
          __zeta *= std::pow(_Tp(2) * __numeric_constants<_Tp>::__pi(), __s)
                 * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                 * std::exp(::std::lgamma(_Tp(1) - __s))



                 / __numeric_constants<_Tp>::__pi();
          return __zeta;
        }
      else if (__s < _Tp(20))
        {

          bool __glob = true;
          if (__glob)
            return __riemann_zeta_glob(__s);
          else
            {
              if (__s > _Tp(1))
                return __riemann_zeta_sum(__s);
              else
                {
                  _Tp __zeta = std::pow(_Tp(2)
                                * __numeric_constants<_Tp>::__pi(), __s)
                         * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                             * ::std::tgamma(_Tp(1) - __s)



                             * __riemann_zeta_sum(_Tp(1) - __s);
                  return __zeta;
                }
            }
        }
      else
        return __riemann_zeta_product(__s);
    }
# 365 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __hurwitz_zeta_glob(_Tp __a, _Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);

      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(__a + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term /= _Tp(__i + 1);
          if (std::abs(__term / __zeta) < __eps)
            break;
          __zeta += __term;
        }

      __zeta /= __s - _Tp(1);

      return __zeta;
    }
# 430 "/usr/include/c++/13/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    inline _Tp
    __hurwitz_zeta(_Tp __a, _Tp __s)
    { return __hurwitz_zeta_glob(__a, __s); }
  }






}
# 58 "/usr/include/c++/13/bits/specfun.h" 2 3

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

# 203 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
  { return __detail::__assoc_laguerre<float>(__n, __m, __x); }







  inline long double
  assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
  { return __detail::__assoc_laguerre<long double>(__n, __m, __x); }
# 248 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_laguerre<__type>(__n, __m, __x);
    }
# 264 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  assoc_legendref(unsigned int __l, unsigned int __m, float __x)
  { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }






  inline long double
  assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
  { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
# 294 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
    }
# 309 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  betaf(float __a, float __b)
  { return __detail::__beta<float>(__a, __b); }







  inline long double
  betal(long double __a, long double __b)
  { return __detail::__beta<long double>(__a, __b); }
# 339 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb>
    inline typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type
    beta(_Tpa __a, _Tpb __b)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type __type;
      return __detail::__beta<__type>(__a, __b);
    }
# 355 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  comp_ellint_1f(float __k)
  { return __detail::__comp_ellint_1<float>(__k); }







  inline long double
  comp_ellint_1l(long double __k)
  { return __detail::__comp_ellint_1<long double>(__k); }
# 387 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_1(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_1<__type>(__k);
    }
# 403 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  comp_ellint_2f(float __k)
  { return __detail::__comp_ellint_2<float>(__k); }







  inline long double
  comp_ellint_2l(long double __k)
  { return __detail::__comp_ellint_2<long double>(__k); }
# 434 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_2(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_2<__type>(__k);
    }
# 450 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  comp_ellint_3f(float __k, float __nu)
  { return __detail::__comp_ellint_3<float>(__k, __nu); }







  inline long double
  comp_ellint_3l(long double __k, long double __nu)
  { return __detail::__comp_ellint_3<long double>(__k, __nu); }
# 485 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
    comp_ellint_3(_Tp __k, _Tpn __nu)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
      return __detail::__comp_ellint_3<__type>(__k, __nu);
    }
# 501 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  cyl_bessel_if(float __nu, float __x)
  { return __detail::__cyl_bessel_i<float>(__nu, __x); }







  inline long double
  cyl_bessel_il(long double __nu, long double __x)
  { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
# 531 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_i(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_i<__type>(__nu, __x);
    }
# 547 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  cyl_bessel_jf(float __nu, float __x)
  { return __detail::__cyl_bessel_j<float>(__nu, __x); }







  inline long double
  cyl_bessel_jl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
# 577 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_j(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_j<__type>(__nu, __x);
    }
# 593 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  cyl_bessel_kf(float __nu, float __x)
  { return __detail::__cyl_bessel_k<float>(__nu, __x); }







  inline long double
  cyl_bessel_kl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
# 629 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_k(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_k<__type>(__nu, __x);
    }
# 645 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  cyl_neumannf(float __nu, float __x)
  { return __detail::__cyl_neumann_n<float>(__nu, __x); }







  inline long double
  cyl_neumannl(long double __nu, long double __x)
  { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
# 677 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_neumann(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_neumann_n<__type>(__nu, __x);
    }
# 693 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  ellint_1f(float __k, float __phi)
  { return __detail::__ellint_1<float>(__k, __phi); }







  inline long double
  ellint_1l(long double __k, long double __phi)
  { return __detail::__ellint_1<long double>(__k, __phi); }
# 725 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_1(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_1<__type>(__k, __phi);
    }
# 741 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  ellint_2f(float __k, float __phi)
  { return __detail::__ellint_2<float>(__k, __phi); }







  inline long double
  ellint_2l(long double __k, long double __phi)
  { return __detail::__ellint_2<long double>(__k, __phi); }
# 773 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_2(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_2<__type>(__k, __phi);
    }
# 789 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  ellint_3f(float __k, float __nu, float __phi)
  { return __detail::__ellint_3<float>(__k, __nu, __phi); }







  inline long double
  ellint_3l(long double __k, long double __nu, long double __phi)
  { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
# 826 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn, typename _Tpp>
    inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
    ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
      return __detail::__ellint_3<__type>(__k, __nu, __phi);
    }
# 841 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  expintf(float __x)
  { return __detail::__expint<float>(__x); }







  inline long double
  expintl(long double __x)
  { return __detail::__expint<long double>(__x); }
# 866 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    expint(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__expint<__type>(__x);
    }
# 882 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  hermitef(unsigned int __n, float __x)
  { return __detail::__poly_hermite<float>(__n, __x); }







  inline long double
  hermitel(unsigned int __n, long double __x)
  { return __detail::__poly_hermite<long double>(__n, __x); }
# 914 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    hermite(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_hermite<__type>(__n, __x);
    }
# 930 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  laguerref(unsigned int __n, float __x)
  { return __detail::__laguerre<float>(__n, __x); }







  inline long double
  laguerrel(unsigned int __n, long double __x)
  { return __detail::__laguerre<long double>(__n, __x); }
# 958 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    laguerre(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__laguerre<__type>(__n, __x);
    }
# 974 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  legendref(unsigned int __l, float __x)
  { return __detail::__poly_legendre_p<float>(__l, __x); }







  inline long double
  legendrel(unsigned int __l, long double __x)
  { return __detail::__poly_legendre_p<long double>(__l, __x); }
# 1003 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    legendre(unsigned int __l, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_legendre_p<__type>(__l, __x);
    }
# 1019 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  riemann_zetaf(float __s)
  { return __detail::__riemann_zeta<float>(__s); }







  inline long double
  riemann_zetal(long double __s)
  { return __detail::__riemann_zeta<long double>(__s); }
# 1054 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    riemann_zeta(_Tp __s)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__riemann_zeta<__type>(__s);
    }
# 1070 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  sph_besself(unsigned int __n, float __x)
  { return __detail::__sph_bessel<float>(__n, __x); }







  inline long double
  sph_bessell(unsigned int __n, long double __x)
  { return __detail::__sph_bessel<long double>(__n, __x); }
# 1098 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_bessel(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_bessel<__type>(__n, __x);
    }
# 1114 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  sph_legendref(unsigned int __l, unsigned int __m, float __theta)
  { return __detail::__sph_legendre<float>(__l, __m, __theta); }
# 1125 "/usr/include/c++/13/bits/specfun.h" 3
  inline long double
  sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
  { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
# 1145 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_legendre<__type>(__l, __m, __theta);
    }
# 1161 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  sph_neumannf(unsigned int __n, float __x)
  { return __detail::__sph_neumann<float>(__n, __x); }







  inline long double
  sph_neumannl(unsigned int __n, long double __x)
  { return __detail::__sph_neumann<long double>(__n, __x); }
# 1189 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_neumann(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_neumann<__type>(__n, __x);
    }




}


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

# 1216 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  airy_aif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  inline long double
  airy_ail(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_ai(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Ai;
    }




  inline float
  airy_bif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  inline long double
  airy_bil(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_bi(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Bi;
    }
# 1292 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  conf_hypergf(float __a, float __c, float __x)
  { return std::__detail::__conf_hyperg<float>(__a, __c, __x); }
# 1303 "/usr/include/c++/13/bits/specfun.h" 3
  inline long double
  conf_hypergl(long double __a, long double __c, long double __x)
  { return std::__detail::__conf_hyperg<long double>(__a, __c, __x); }
# 1323 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
    conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
      return std::__detail::__conf_hyperg<__type>(__a, __c, __x);
    }
# 1340 "/usr/include/c++/13/bits/specfun.h" 3
  inline float
  hypergf(float __a, float __b, float __c, float __x)
  { return std::__detail::__hyperg<float>(__a, __b, __c, __x); }
# 1351 "/usr/include/c++/13/bits/specfun.h" 3
  inline long double
  hypergl(long double __a, long double __b, long double __c, long double __x)
  { return std::__detail::__hyperg<long double>(__a, __b, __c, __x); }
# 1372 "/usr/include/c++/13/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
    hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>
  ::__type __type;
      return std::__detail::__hyperg<__type>(__a, __b, __c, __x);
    }



}
# 3700 "/usr/include/c++/13/cmath" 2 3


}
# 31 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2

# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.h" 1
# 31 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.h"
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 1
# 34 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/include/c++/13/cstdlib" 1 3
# 39 "/usr/include/c++/13/cstdlib" 3
       
# 40 "/usr/include/c++/13/cstdlib" 3
# 35 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 1 "/usr/include/c++/13/cstring" 1 3
# 39 "/usr/include/c++/13/cstring" 3
       
# 40 "/usr/include/c++/13/cstring" 3


# 1 "/usr/include/string.h" 1 3 4
# 26 "/usr/include/string.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/string.h" 2 3 4

extern "C" {




# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 34 "/usr/include/string.h" 2 3 4
# 43 "/usr/include/string.h" 3 4
extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, const void *__src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 4)));




extern void *memset (void *__s, int __c, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 80 "/usr/include/string.h" 3 4
extern int __memcmpeq (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern "C++"
{
extern void *memchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const void *memchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 105 "/usr/include/string.h" 3 4
}
# 115 "/usr/include/string.h" 3 4
extern "C++" void *rawmemchr (void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *rawmemchr (const void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));







extern "C++" void *memrchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
extern "C++" const void *memrchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
# 141 "/usr/include/string.h" 3 4
extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 1, 3)));






extern int strcoll_l (const char *__s1, const char *__s2, locale_t __l)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));


extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    locale_t __l) noexcept (true) __attribute__ ((__nonnull__ (2, 4)))
     __attribute__ ((__access__ (__write_only__, 1, 3)));





extern char *strdup (const char *__s)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (const char *__string, size_t __n)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
# 224 "/usr/include/string.h" 3 4
extern "C++"
{
extern char *strchr (char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strchr (const char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 244 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strrchr (char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strrchr (const char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 271 "/usr/include/string.h" 3 4
}
# 281 "/usr/include/string.h" 3 4
extern "C++" char *strchrnul (char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const char *strchrnul (const char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 293 "/usr/include/string.h" 3 4
extern size_t strcspn (const char *__s, const char *__reject)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (const char *__s, const char *__accept)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern "C++"
{
extern char *strpbrk (char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strpbrk (const char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 321 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strstr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strstr (const char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 348 "/usr/include/string.h" 3 4
}







extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));





extern "C++" char *strcasestr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern "C++" const char *strcasestr (const char *__haystack,
         const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 389 "/usr/include/string.h" 3 4
extern void *memmem (const void *__haystack, size_t __haystacklen,
       const void *__needle, size_t __needlelen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)))
    __attribute__ ((__access__ (__read_only__, 1, 2)))
    __attribute__ ((__access__ (__read_only__, 3, 4)));



extern void *__mempcpy (void *__restrict __dest,
   const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlen (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern size_t strnlen (const char *__string, size_t __maxlen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern char *strerror (int __errnum) noexcept (true);
# 444 "/usr/include/string.h" 3 4
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));




extern const char *strerrordesc_np (int __err) noexcept (true);

extern const char *strerrorname_np (int __err) noexcept (true);





extern char *strerror_l (int __errnum, locale_t __l) noexcept (true);



# 1 "/usr/include/strings.h" 1 3 4
# 23 "/usr/include/strings.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 24 "/usr/include/strings.h" 2 3 4






extern "C" {



extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void bcopy (const void *__src, void *__dest, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern "C++"
{
extern char *index (char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *index (const char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 66 "/usr/include/strings.h" 3 4
}







extern "C++"
{
extern char *rindex (char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *rindex (const char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 94 "/usr/include/strings.h" 3 4
}
# 104 "/usr/include/strings.h" 3 4
extern int ffs (int __i) noexcept (true) __attribute__ ((__const__));





extern int ffsl (long int __l) noexcept (true) __attribute__ ((__const__));
__extension__ extern int ffsll (long long int __ll)
     noexcept (true) __attribute__ ((__const__));



extern int strcasecmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern int strcasecmp_l (const char *__s1, const char *__s2, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));



extern int strncasecmp_l (const char *__s1, const char *__s2,
     size_t __n, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));


}
# 463 "/usr/include/string.h" 2 3 4



extern void explicit_bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__write_only__, 1, 2)));



extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern char *strsignal (int __sig) noexcept (true);



extern const char *sigabbrev_np (int __sig) noexcept (true);


extern const char *sigdescr_np (int __sig) noexcept (true);



extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlcpy (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



extern size_t strlcat (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__read_write__, 1, 3)));




extern int strverscmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__read_write__, 1, 2)));







extern "C++" char *basename (char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
extern "C++" const char *basename (const char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
# 552 "/usr/include/string.h" 3 4
}
# 43 "/usr/include/c++/13/cstring" 2 3
# 71 "/usr/include/c++/13/cstring" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::memchr;
  using ::memcmp;
  using ::memcpy;
  using ::memmove;
  using ::memset;
  using ::strcat;
  using ::strcmp;
  using ::strcoll;
  using ::strcpy;
  using ::strcspn;
  using ::strerror;
  using ::strlen;
  using ::strncat;
  using ::strncmp;
  using ::strncpy;
  using ::strspn;
  using ::strtok;
  using ::strxfrm;
  using ::strchr;
  using ::strpbrk;
  using ::strrchr;
  using ::strstr;
# 122 "/usr/include/c++/13/cstring" 3

}
}
# 36 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 44 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/include/c++/13/cassert" 1 3
# 41 "/usr/include/c++/13/cassert" 3
       
# 42 "/usr/include/c++/13/cassert" 3


# 1 "/usr/include/assert.h" 1 3 4
# 66 "/usr/include/assert.h" 3 4
extern "C" {


extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__));


extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__));




extern void __assert (const char *__assertion, const char *__file, int __line)
     noexcept (true) __attribute__ ((__noreturn__));


}
# 45 "/usr/include/c++/13/cassert" 2 3
# 45 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 186 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 1 3 4
# 9 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 3 4
# 1 "/usr/include/stdint.h" 1 3 4
# 26 "/usr/include/stdint.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdint.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 30 "/usr/include/stdint.h" 2 3 4







# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-uintn.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/stdint-uintn.h" 3 4
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/include/stdint.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-least.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/stdint-least.h" 3 4
typedef __int_least8_t int_least8_t;
typedef __int_least16_t int_least16_t;
typedef __int_least32_t int_least32_t;
typedef __int_least64_t int_least64_t;


typedef __uint_least8_t uint_least8_t;
typedef __uint_least16_t uint_least16_t;
typedef __uint_least32_t uint_least32_t;
typedef __uint_least64_t uint_least64_t;
# 42 "/usr/include/stdint.h" 2 3 4





typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 60 "/usr/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 76 "/usr/include/stdint.h" 3 4
typedef long int intptr_t;


typedef unsigned long int uintptr_t;
# 90 "/usr/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
# 10 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 2 3 4
# 187 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2




# 190 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
typedef uint16_t uc16;
# 239 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
namespace double_conversion {

inline int StrLength(const char* string) {
  size_t length = strlen(string);
  
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 (static_cast <bool> (
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
 length == static_cast<size_t>(static_cast<int>(length))
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 ) ? void (0) : __assert_fail (
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
 "length == static_cast<size_t>(static_cast<int>(length))"
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                  ;
  return static_cast<int>(length);
}


template <typename T>
class Vector {
 public:
  Vector() : start_(nullptr), length_(0) {}
  Vector(T* data, int len) : start_(data), length_(len) {
    
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   len == 0 || (len > 0 && data != nullptr)
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "len == 0 || (len > 0 && data != nullptr)"
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                       ;
  }



  Vector<T> SubVector(int from, int to) {
    
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   to <= length_
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "to <= length_"
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                          ;
    
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   from < to
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "from < to"
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   0 <= from
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "0 <= from"
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    return Vector<T>(start() + from, to - from);
  }


  int length() const { return length_; }


  bool is_empty() const { return length_ == 0; }


  T* start() const { return start_; }


  T& operator[](int index) const {
    
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   0 <= index && index < length_
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "0 <= index && index < length_"
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                          ;
    return start_[index];
  }

  T& first() { return start_[0]; }

  T& last() { return start_[length_ - 1]; }

  void pop_back() {
    
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_empty()
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_empty()"
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                        ;
    --length_;
  }

 private:
  T* start_;
  int length_;
};





class StringBuilder {
 public:
  StringBuilder(char* buffer, int buffer_size)
      : buffer_(buffer, buffer_size), position_(0) { }

  ~StringBuilder() { if (!is_finalized()) Finalize(); }

  int size() const { return buffer_.length(); }


  int position() const {
    
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized()
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized()"
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                            ;
    return position_;
  }


  void Reset() { position_ = 0; }




  void AddCharacter(char c) {
    
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   c != '\0'
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "c != '\\0'"
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ < buffer_.length()
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ < buffer_.length()"
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                            ;
    buffer_[position_++] = c;
  }



  void AddString(const char* s) {
    AddSubstring(s, StrLength(s));
  }



  void AddSubstring(const char* s, int n) {
    
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ + n < buffer_.length()
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ + n < buffer_.length()"
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                ;
    
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   static_cast<size_t>(n) <= strlen(s)
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "static_cast<size_t>(n) <= strlen(s)"
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                ;
    memmove(&buffer_[position_], s, static_cast<size_t>(n));
    position_ += n;
  }




  void AddPadding(char c, int count) {
    for (int i = 0; i < count; i++) {
      AddCharacter(c);
    }
  }


  char* Finalize() {
    
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ < buffer_.length()
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ < buffer_.length()"
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                            ;
    buffer_[position_] = '\0';


    
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   strlen(buffer_.start()) == static_cast<size_t>(position_)
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "strlen(buffer_.start()) == static_cast<size_t>(position_)"
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                      ;
    position_ = -1;
    
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   is_finalized()
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "is_finalized()"
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                           ;
    return buffer_.start();
  }

 private:
  Vector<char> buffer_;
  int position_;

  bool is_finalized() const { return position_ < 0; }

  StringBuilder(); StringBuilder(const StringBuilder&); void operator=(const StringBuilder&);
};
# 394 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
template <class Dest, class Source>
Dest BitCast(const Source& source) {



  static_assert(sizeof(Dest) == sizeof(Source),
                "source and destination size mismatch");





  Dest dest;
  memmove(&dest, &source, sizeof(dest));
  return dest;
}

template <class Dest, class Source>
Dest BitCast(Source* source) {
  return BitCast<Dest>(reinterpret_cast<uintptr_t>(source));
}

}
# 32 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.h" 2

namespace double_conversion {

class StringToDoubleConverter {
 public:


  enum Flags {
    NO_FLAGS = 0,
    ALLOW_HEX = 1,
    ALLOW_OCTALS = 2,
    ALLOW_TRAILING_JUNK = 4,
    ALLOW_LEADING_SPACES = 8,
    ALLOW_TRAILING_SPACES = 16,
    ALLOW_SPACES_AFTER_SIGN = 32,
    ALLOW_CASE_INSENSITIVITY = 64,
    ALLOW_CASE_INSENSIBILITY = 64,
    ALLOW_HEX_FLOATS = 128,
  };

  static const uc16 kNoSeparator = '\0';
# 167 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.h"
  StringToDoubleConverter(int flags,
                          double empty_string_value,
                          double junk_string_value,
                          const char* infinity_symbol,
                          const char* nan_symbol,
                          uc16 separator = kNoSeparator)
      : flags_(flags),
        empty_string_value_(empty_string_value),
        junk_string_value_(junk_string_value),
        infinity_symbol_(infinity_symbol),
        nan_symbol_(nan_symbol),
        separator_(separator) {
  }






  double StringToDouble(const char* buffer,
                        int length,
                        int* processed_characters_count) const;


  double StringToDouble(const uc16* buffer,
                        int length,
                        int* processed_characters_count) const;




  float StringToFloat(const char* buffer,
                      int length,
                      int* processed_characters_count) const;


  float StringToFloat(const uc16* buffer,
                      int length,
                      int* processed_characters_count) const;


  template <typename T>
  T StringTo(const char* buffer,
             int length,
             int* processed_characters_count) const;


  template <typename T>
  T StringTo(const uc16* buffer,
             int length,
             int* processed_characters_count) const;

 private:
  const int flags_;
  const double empty_string_value_;
  const double junk_string_value_;
  const char* const infinity_symbol_;
  const char* const nan_symbol_;
  const uc16 separator_;

  template <class Iterator>
  double StringToIeee(Iterator start_pointer,
                      int length,
                      bool read_as_double,
                      int* processed_characters_count) const;

  StringToDoubleConverter(); StringToDoubleConverter(const StringToDoubleConverter&); void operator=(const StringToDoubleConverter&);
};

}
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2

# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 1
# 31 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 1
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
namespace double_conversion {







class DiyFp {
 public:
  static const int kSignificandSize = 64;

  DiyFp() : f_(0), e_(0) {}
  DiyFp(const uint64_t significand, const int32_t exponent) : f_(significand), e_(exponent) {}





  void Subtract(const DiyFp& other) {
    
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   e_ == other.e_
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "e_ == other.e_"
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                           ;
    
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   f_ >= other.f_
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "f_ >= other.f_"
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                           ;
    f_ -= other.f_;
  }




  static DiyFp Minus(const DiyFp& a, const DiyFp& b) {
    DiyFp result = a;
    result.Subtract(b);
    return result;
  }


  void Multiply(const DiyFp& other) {




    const uint64_t kM32 = 0xFFFFFFFFU;
    const uint64_t a = f_ >> 32;
    const uint64_t b = f_ & kM32;
    const uint64_t c = other.f_ >> 32;
    const uint64_t d = other.f_ & kM32;
    const uint64_t ac = a * c;
    const uint64_t bc = b * c;
    const uint64_t ad = a * d;
    const uint64_t bd = b * d;


    const uint64_t tmp = (bd >> 32) + (ad & kM32) + (bc & kM32) + (1U << 31);
    e_ += other.e_ + 64;
    f_ = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32);
  }


  static DiyFp Times(const DiyFp& a, const DiyFp& b) {
    DiyFp result = a;
    result.Multiply(b);
    return result;
  }

  void Normalize() {
    
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   f_ != 0
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "f_ != 0"
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                    ;
    uint64_t significand = f_;
    int32_t exponent = e_;



    const uint64_t k10MSBits = (((static_cast<uint64_t>(0xFFC00000) << 32) + 0x00000000u));
    while ((significand & k10MSBits) == 0) {
      significand <<= 10;
      exponent -= 10;
    }
    while ((significand & kUint64MSB) == 0) {
      significand <<= 1;
      exponent--;
    }
    f_ = significand;
    e_ = exponent;
  }

  static DiyFp Normalize(const DiyFp& a) {
    DiyFp result = a;
    result.Normalize();
    return result;
  }

  uint64_t f() const { return f_; }
  int32_t e() const { return e_; }

  void set_f(uint64_t new_value) { f_ = new_value; }
  void set_e(int32_t new_value) { e_ = new_value; }

 private:
  static const uint64_t kUint64MSB = (((static_cast<uint64_t>(0x80000000) << 32) + 0x00000000u));

  uint64_t f_;
  int32_t e_;
};

}
# 32 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 2

namespace double_conversion {


static uint64_t double_to_uint64(double d) { return BitCast<uint64_t>(d); }
static double uint64_to_double(uint64_t d64) { return BitCast<double>(d64); }
static uint32_t float_to_uint32(float f) { return BitCast<uint32_t>(f); }
static float uint32_to_float(uint32_t d32) { return BitCast<float>(d32); }


class Double {
 public:
  static const uint64_t kSignMask = (((static_cast<uint64_t>(0x80000000) << 32) + 0x00000000u));
  static const uint64_t kExponentMask = (((static_cast<uint64_t>(0x7FF00000) << 32) + 0x00000000u));
  static const uint64_t kSignificandMask = (((static_cast<uint64_t>(0x000FFFFF) << 32) + 0xFFFFFFFFu));
  static const uint64_t kHiddenBit = (((static_cast<uint64_t>(0x00100000) << 32) + 0x00000000u));
  static const uint64_t kQuietNanBit = (((static_cast<uint64_t>(0x00080000) << 32) + 0x00000000u));
  static const int kPhysicalSignificandSize = 52;
  static const int kSignificandSize = 53;
  static const int kExponentBias = 0x3FF + kPhysicalSignificandSize;
  static const int kMaxExponent = 0x7FF - kExponentBias;

  Double() : d64_(0) {}
  explicit Double(double d) : d64_(double_to_uint64(d)) {}
  explicit Double(uint64_t d64) : d64_(d64) {}
  explicit Double(DiyFp diy_fp)
    : d64_(DiyFpToUint64(diy_fp)) {}



  DiyFp AsDiyFp() const {
    
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   !IsSpecial()
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "!IsSpecial()"
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                         ;
    return DiyFp(Significand(), Exponent());
  }


  DiyFp AsNormalizedDiyFp() const {
    
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    uint64_t f = Significand();
    int e = Exponent();


    while ((f & kHiddenBit) == 0) {
      f <<= 1;
      e--;
    }

    f <<= DiyFp::kSignificandSize - kSignificandSize;
    e -= DiyFp::kSignificandSize - kSignificandSize;
    return DiyFp(f, e);
  }


  uint64_t AsUint64() const {
    return d64_;
  }


  double NextDouble() const {
    if (d64_ == kInfinity) return Double(kInfinity).value();
    if (Sign() < 0 && Significand() == 0) {

      return 0.0;
    }
    if (Sign() < 0) {
      return Double(d64_ - 1).value();
    } else {
      return Double(d64_ + 1).value();
    }
  }

  double PreviousDouble() const {
    if (d64_ == (kInfinity | kSignMask)) return -Infinity();
    if (Sign() < 0) {
      return Double(d64_ + 1).value();
    } else {
      if (Significand() == 0) return -0.0;
      return Double(d64_ - 1).value();
    }
  }

  int Exponent() const {
    if (IsDenormal()) return kDenormalExponent;

    uint64_t d64 = AsUint64();
    int biased_e =
        static_cast<int>((d64 & kExponentMask) >> kPhysicalSignificandSize);
    return biased_e - kExponentBias;
  }

  uint64_t Significand() const {
    uint64_t d64 = AsUint64();
    uint64_t significand = d64 & kSignificandMask;
    if (!IsDenormal()) {
      return significand + kHiddenBit;
    } else {
      return significand;
    }
  }


  bool IsDenormal() const {
    uint64_t d64 = AsUint64();
    return (d64 & kExponentMask) == 0;
  }



  bool IsSpecial() const {
    uint64_t d64 = AsUint64();
    return (d64 & kExponentMask) == kExponentMask;
  }

  bool IsNan() const {
    uint64_t d64 = AsUint64();
    return ((d64 & kExponentMask) == kExponentMask) &&
        ((d64 & kSignificandMask) != 0);
  }

  bool IsQuietNan() const {



    return IsNan() && ((AsUint64() & kQuietNanBit) != 0);

  }

  bool IsSignalingNan() const {



    return IsNan() && ((AsUint64() & kQuietNanBit) == 0);

  }


  bool IsInfinite() const {
    uint64_t d64 = AsUint64();
    return ((d64 & kExponentMask) == kExponentMask) &&
        ((d64 & kSignificandMask) == 0);
  }

  int Sign() const {
    uint64_t d64 = AsUint64();
    return (d64 & kSignMask) == 0? 1: -1;
  }



  DiyFp UpperBoundary() const {
    
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    return DiyFp(Significand() * 2 + 1, Exponent() - 1);
  }





  void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
    
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    DiyFp v = this->AsDiyFp();
    DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
    DiyFp m_minus;
    if (LowerBoundaryIsCloser()) {
      m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
    } else {
      m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
    }
    m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
    m_minus.set_e(m_plus.e());
    *out_m_plus = m_plus;
    *out_m_minus = m_minus;
  }

  bool LowerBoundaryIsCloser() const {
# 216 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
    bool physical_significand_is_zero = ((AsUint64() & kSignificandMask) == 0);
    return physical_significand_is_zero && (Exponent() != kDenormalExponent);
  }

  double value() const { return uint64_to_double(d64_); }







  static int SignificandSizeForOrderOfMagnitude(int order) {
    if (order >= (kDenormalExponent + kSignificandSize)) {
      return kSignificandSize;
    }
    if (order <= kDenormalExponent) return 0;
    return order - kDenormalExponent;
  }

  static double Infinity() {
    return Double(kInfinity).value();
  }

  static double NaN() {
    return Double(kNaN).value();
  }

 private:
  static const int kDenormalExponent = -kExponentBias + 1;
  static const uint64_t kInfinity = (((static_cast<uint64_t>(0x7FF00000) << 32) + 0x00000000u));



  static const uint64_t kNaN = (((static_cast<uint64_t>(0x7FF80000) << 32) + 0x00000000u));



  const uint64_t d64_;

  static uint64_t DiyFpToUint64(DiyFp diy_fp) {
    uint64_t significand = diy_fp.f();
    int exponent = diy_fp.e();
    while (significand > kHiddenBit + kSignificandMask) {
      significand >>= 1;
      exponent++;
    }
    if (exponent >= kMaxExponent) {
      return kInfinity;
    }
    if (exponent < kDenormalExponent) {
      return 0;
    }
    while (exponent > kDenormalExponent && (significand & kHiddenBit) == 0) {
      significand <<= 1;
      exponent--;
    }
    uint64_t biased_exponent;
    if (exponent == kDenormalExponent && (significand & kHiddenBit) == 0) {
      biased_exponent = 0;
    } else {
      biased_exponent = static_cast<uint64_t>(exponent + kExponentBias);
    }
    return (significand & kSignificandMask) |
        (biased_exponent << kPhysicalSignificandSize);
  }

  Double(const Double&); void operator=(const Double&);
};

class Single {
 public:
  static const uint32_t kSignMask = 0x80000000;
  static const uint32_t kExponentMask = 0x7F800000;
  static const uint32_t kSignificandMask = 0x007FFFFF;
  static const uint32_t kHiddenBit = 0x00800000;
  static const uint32_t kQuietNanBit = 0x00400000;
  static const int kPhysicalSignificandSize = 23;
  static const int kSignificandSize = 24;

  Single() : d32_(0) {}
  explicit Single(float f) : d32_(float_to_uint32(f)) {}
  explicit Single(uint32_t d32) : d32_(d32) {}



  DiyFp AsDiyFp() const {
    
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   !IsSpecial()
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "!IsSpecial()"
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                         ;
    return DiyFp(Significand(), Exponent());
  }


  uint32_t AsUint32() const {
    return d32_;
  }

  int Exponent() const {
    if (IsDenormal()) return kDenormalExponent;

    uint32_t d32 = AsUint32();
    int biased_e =
        static_cast<int>((d32 & kExponentMask) >> kPhysicalSignificandSize);
    return biased_e - kExponentBias;
  }

  uint32_t Significand() const {
    uint32_t d32 = AsUint32();
    uint32_t significand = d32 & kSignificandMask;
    if (!IsDenormal()) {
      return significand + kHiddenBit;
    } else {
      return significand;
    }
  }


  bool IsDenormal() const {
    uint32_t d32 = AsUint32();
    return (d32 & kExponentMask) == 0;
  }



  bool IsSpecial() const {
    uint32_t d32 = AsUint32();
    return (d32 & kExponentMask) == kExponentMask;
  }

  bool IsNan() const {
    uint32_t d32 = AsUint32();
    return ((d32 & kExponentMask) == kExponentMask) &&
        ((d32 & kSignificandMask) != 0);
  }

  bool IsQuietNan() const {



    return IsNan() && ((AsUint32() & kQuietNanBit) != 0);

  }

  bool IsSignalingNan() const {



    return IsNan() && ((AsUint32() & kQuietNanBit) == 0);

  }


  bool IsInfinite() const {
    uint32_t d32 = AsUint32();
    return ((d32 & kExponentMask) == kExponentMask) &&
        ((d32 & kSignificandMask) == 0);
  }

  int Sign() const {
    uint32_t d32 = AsUint32();
    return (d32 & kSignMask) == 0? 1: -1;
  }





  void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
    
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    DiyFp v = this->AsDiyFp();
    DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
    DiyFp m_minus;
    if (LowerBoundaryIsCloser()) {
      m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
    } else {
      m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
    }
    m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
    m_minus.set_e(m_plus.e());
    *out_m_plus = m_plus;
    *out_m_minus = m_minus;
  }



  DiyFp UpperBoundary() const {
    
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    return DiyFp(Significand() * 2 + 1, Exponent() - 1);
  }

  bool LowerBoundaryIsCloser() const {
# 415 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
    bool physical_significand_is_zero = ((AsUint32() & kSignificandMask) == 0);
    return physical_significand_is_zero && (Exponent() != kDenormalExponent);
  }

  float value() const { return uint32_to_float(d32_); }

  static float Infinity() {
    return Single(kInfinity).value();
  }

  static float NaN() {
    return Single(kNaN).value();
  }

 private:
  static const int kExponentBias = 0x7F + kPhysicalSignificandSize;
  static const int kDenormalExponent = -kExponentBias + 1;
  static const int kMaxExponent = 0xFF - kExponentBias;
  static const uint32_t kInfinity = 0x7F800000;



  static const uint32_t kNaN = 0x7FC00000;


  const uint32_t d32_;

  Single(const Single&); void operator=(const Single&);
};

}
# 35 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.h" 1
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.h"
namespace double_conversion {



double Strtod(Vector<const char> buffer, int exponent);



float Strtof(Vector<const char> buffer, int exponent);




double StrtodTrimmed(Vector<const char> trimmed, int exponent);




float StrtofTrimmed(Vector<const char> trimmed, int exponent);

inline Vector<const char> TrimTrailingZeros(Vector<const char> buffer) {
  for (int i = buffer.length() - 1; i >= 0; --i) {
    if (buffer[i] != '0') {
      return buffer.SubVector(0, i + 1);
    }
  }
  return Vector<const char>(buffer.start(), 0);
}

}
# 36 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 2
# 50 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
namespace double_conversion {

namespace {

inline char ToLower(char ch) {
  static const std::ctype<char>& cType =
      std::use_facet<std::ctype<char> >(std::locale::classic());
  return cType.tolower(ch);
}

inline char Pass(char ch) {
  return ch;
}

template <class Iterator, class Converter>
static inline bool ConsumeSubStringImpl(Iterator* current,
                                        Iterator end,
                                        const char* substring,
                                        Converter converter) {
  
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 converter(**current) == *substring
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "converter(**current) == *substring"
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 69 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                             ;
  for (substring++; *substring != '\0'; substring++) {
    ++*current;
    if (*current == end || converter(**current) != *substring) {
      return false;
    }
  }
  ++*current;
  return true;
}



template <class Iterator>
static bool ConsumeSubString(Iterator* current,
                             Iterator end,
                             const char* substring,
                             bool allow_case_insensitivity) {
  if (allow_case_insensitivity) {
    return ConsumeSubStringImpl(current, end, substring, ToLower);
  } else {
    return ConsumeSubStringImpl(current, end, substring, Pass);
  }
}


inline bool ConsumeFirstCharacter(char ch,
                                         const char* str,
                                         bool case_insensitivity) {
  return case_insensitivity ? ToLower(ch) == str[0] : ch == str[0];
}
}
# 109 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
const int kMaxSignificantDigits = 772;


static const char kWhitespaceTable7[] = { 32, 13, 10, 9, 11, 12 };
static const int kWhitespaceTable7Length = ((sizeof(kWhitespaceTable7) / sizeof(*(kWhitespaceTable7))) / static_cast<size_t>(!(sizeof(kWhitespaceTable7) % sizeof(*(kWhitespaceTable7)))));


static const uc16 kWhitespaceTable16[] = {
  160, 8232, 8233, 5760, 6158, 8192, 8193, 8194, 8195,
  8196, 8197, 8198, 8199, 8200, 8201, 8202, 8239, 8287, 12288, 65279
};
static const int kWhitespaceTable16Length = ((sizeof(kWhitespaceTable16) / sizeof(*(kWhitespaceTable16))) / static_cast<size_t>(!(sizeof(kWhitespaceTable16) % sizeof(*(kWhitespaceTable16)))));


static bool isWhitespace(int x) {
  if (x < 128) {
    for (int i = 0; i < kWhitespaceTable7Length; i++) {
      if (kWhitespaceTable7[i] == x) return true;
    }
  } else {
    for (int i = 0; i < kWhitespaceTable16Length; i++) {
      if (kWhitespaceTable16[i] == x) return true;
    }
  }
  return false;
}



template <class Iterator>
static inline bool AdvanceToNonspace(Iterator* current, Iterator end) {
  while (*current != end) {
    if (!isWhitespace(**current)) return true;
    ++*current;
  }
  return false;
}


static bool isDigit(int x, int radix) {
  return (x >= '0' && x <= '9' && x < '0' + radix)
      || (radix > 10 && x >= 'a' && x < 'a' + radix - 10)
      || (radix > 10 && x >= 'A' && x < 'A' + radix - 10);
}


static double SignedZero(bool sign) {
  return sign ? -0.0 : 0.0;
}
# 173 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
static bool inline IsDecimalDigitForRadix(int c, int radix) {
  return '0' <= c && c <= '9' && (c - '0') < radix;
}
# 184 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
static bool IsCharacterDigitForRadix(int c, int radix, char a_character) {
  return radix > 10 && c >= a_character && c < a_character + radix - 10;
}


template<class Iterator>
static bool Advance (Iterator* it, uc16 separator, int base, Iterator& end) {
  if (separator == StringToDoubleConverter::kNoSeparator) {
    ++(*it);
    return *it == end;
  }
  if (!isDigit(**it, base)) {
    ++(*it);
    return *it == end;
  }
  ++(*it);
  if (*it == end) return true;
  if (*it + 1 == end) return false;
  if (**it == separator && isDigit(*(*it + 1), base)) {
    ++(*it);
  }
  return *it == end;
}
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
template<class Iterator>
static bool IsHexFloatString(Iterator start,
                             Iterator end,
                             uc16 separator,
                             bool allow_trailing_junk) {
  
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 start != end
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "start != end"
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 220 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                       ;

  Iterator current = start;

  bool saw_digit = false;
  while (isDigit(*current, 16)) {
    saw_digit = true;
    if (Advance(&current, separator, 16, end)) return false;
  }
  if (*current == '.') {
    if (Advance(&current, separator, 16, end)) return false;
    while (isDigit(*current, 16)) {
      saw_digit = true;
      if (Advance(&current, separator, 16, end)) return false;
    }
  }
  if (!saw_digit) return false;
  if (*current != 'p' && *current != 'P') return false;
  if (Advance(&current, separator, 16, end)) return false;
  if (*current == '+' || *current == '-') {
    if (Advance(&current, separator, 16, end)) return false;
  }
  if (!isDigit(*current, 10)) return false;
  if (Advance(&current, separator, 16, end)) return true;
  while (isDigit(*current, 10)) {
    if (Advance(&current, separator, 16, end)) return true;
  }
  return allow_trailing_junk || !AdvanceToNonspace(&current, end);
}






template <int radix_log_2, class Iterator>
static double RadixStringToIeee(Iterator* current,
                                Iterator end,
                                bool sign,
                                uc16 separator,
                                bool parse_as_hex_float,
                                bool allow_trailing_junk,
                                double junk_string_value,
                                bool read_as_double,
                                bool* result_is_junk) {
  
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 *current != end
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "*current != end"
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 265 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                          ;
  
# 266 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 266 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 !parse_as_hex_float || IsHexFloatString(*current, end, separator, allow_trailing_junk)
# 266 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 266 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "!parse_as_hex_float || IsHexFloatString(*current, end, separator, allow_trailing_junk)"
# 266 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
                                                                      
# 267 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                                     ;

  const int kDoubleSize = Double::kSignificandSize;
  const int kSingleSize = Single::kSignificandSize;
  const int kSignificandSize = read_as_double? kDoubleSize: kSingleSize;

  *result_is_junk = true;

  int64_t number = 0;
  int exponent = 0;
  const int radix = (1 << radix_log_2);


  bool post_decimal = false;


  while (**current == '0') {
    if (Advance(current, separator, radix, end)) {
      *result_is_junk = false;
      return SignedZero(sign);
    }
  }

  while (true) {
    int digit;
    if (IsDecimalDigitForRadix(**current, radix)) {
      digit = static_cast<char>(**current) - '0';
      if (post_decimal) exponent -= radix_log_2;
    } else if (IsCharacterDigitForRadix(**current, radix, 'a')) {
      digit = static_cast<char>(**current) - 'a' + 10;
      if (post_decimal) exponent -= radix_log_2;
    } else if (IsCharacterDigitForRadix(**current, radix, 'A')) {
      digit = static_cast<char>(**current) - 'A' + 10;
      if (post_decimal) exponent -= radix_log_2;
    } else if (parse_as_hex_float && **current == '.') {
      post_decimal = true;
      Advance(current, separator, radix, end);
      
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     (static_cast <bool> (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     *current != end
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     ) ? void (0) : __assert_fail (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     "*current != end"
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                              ;
      continue;
    } else if (parse_as_hex_float && (**current == 'p' || **current == 'P')) {
      break;
    } else {
      if (allow_trailing_junk || !AdvanceToNonspace(current, end)) {
        break;
      } else {
        return junk_string_value;
      }
    }

    number = number * radix + digit;
    int overflow = static_cast<int>(number >> kSignificandSize);
    if (overflow != 0) {


      int overflow_bits_count = 1;
      while (overflow > 1) {
        overflow_bits_count++;
        overflow >>= 1;
      }

      int dropped_bits_mask = ((1 << overflow_bits_count) - 1);
      int dropped_bits = static_cast<int>(number) & dropped_bits_mask;
      number >>= overflow_bits_count;
      exponent += overflow_bits_count;

      bool zero_tail = true;
      for (;;) {
        if (Advance(current, separator, radix, end)) break;
        if (parse_as_hex_float && **current == '.') {


          Advance(current, separator, radix, end);
          
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
         (static_cast <bool> (
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
         *current != end
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
         ) ? void (0) : __assert_fail (
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
         "*current != end"
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
         , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 339 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                  ;
          post_decimal = true;
        }
        if (!isDigit(**current, radix)) break;
        zero_tail = zero_tail && **current == '0';
        if (!post_decimal) exponent += radix_log_2;
      }

      if (!parse_as_hex_float &&
          !allow_trailing_junk &&
          AdvanceToNonspace(current, end)) {
        return junk_string_value;
      }

      int middle_value = (1 << (overflow_bits_count - 1));
      if (dropped_bits > middle_value) {
        number++;
      } else if (dropped_bits == middle_value) {


        if ((number & 1) != 0 || !zero_tail) {
          number++;
        }
      }


      if ((number & ((int64_t)1 << kSignificandSize)) != 0) {
        exponent++;
        number >>= 1;
      }
      break;
    }
    if (Advance(current, separator, radix, end)) break;
  }

  
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 number < ((int64_t)1 << kSignificandSize)
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "number < ((int64_t)1 << kSignificandSize)"
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 374 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                                    ;
  
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 static_cast<int64_t>(static_cast<double>(number)) == number
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "static_cast<int64_t>(static_cast<double>(number)) == number"
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 375 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                                                      ;

  *result_is_junk = false;

  if (parse_as_hex_float) {
    
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   (static_cast <bool> (
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   **current == 'p' || **current == 'P'
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   ) ? void (0) : __assert_fail (
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   "**current == 'p' || **current == 'P'"
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 380 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                                 ;
    Advance(current, separator, radix, end);
    
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   (static_cast <bool> (
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   *current != end
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   ) ? void (0) : __assert_fail (
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   "*current != end"
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 382 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                            ;
    bool is_negative = false;
    if (**current == '+') {
      Advance(current, separator, radix, end);
      
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     (static_cast <bool> (
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     *current != end
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     ) ? void (0) : __assert_fail (
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     "*current != end"
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 386 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                              ;
    } else if (**current == '-') {
      is_negative = true;
      Advance(current, separator, radix, end);
      
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     (static_cast <bool> (
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     *current != end
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     ) ? void (0) : __assert_fail (
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     "*current != end"
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 390 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                              ;
    }
    int written_exponent = 0;
    while (IsDecimalDigitForRadix(**current, 10)) {


      if (abs(written_exponent) <= 100 * Double::kMaxExponent) {
        written_exponent = 10 * written_exponent + **current - '0';
      }
      if (Advance(current, separator, radix, end)) break;
    }
    if (is_negative) written_exponent = -written_exponent;
    exponent += written_exponent;
  }

  if (exponent == 0 || number == 0) {
    if (sign) {
      if (number == 0) return -0.0;
      number = -number;
    }
    return static_cast<double>(number);
  }

  
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 number != 0
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "number != 0"
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 413 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                      ;
  double result = Double(DiyFp(number, exponent)).value();
  return sign ? -result : result;
}

template <class Iterator>
double StringToDoubleConverter::StringToIeee(
    Iterator input,
    int length,
    bool read_as_double,
    int* processed_characters_count) const {
  Iterator current = input;
  Iterator end = input + length;

  *processed_characters_count = 0;

  const bool allow_trailing_junk = (flags_ & ALLOW_TRAILING_JUNK) != 0;
  const bool allow_leading_spaces = (flags_ & ALLOW_LEADING_SPACES) != 0;
  const bool allow_trailing_spaces = (flags_ & ALLOW_TRAILING_SPACES) != 0;
  const bool allow_spaces_after_sign = (flags_ & ALLOW_SPACES_AFTER_SIGN) != 0;
  const bool allow_case_insensitivity = (flags_ & ALLOW_CASE_INSENSITIVITY) != 0;
# 443 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
  if (current == end) return empty_string_value_;

  if (allow_leading_spaces || allow_trailing_spaces) {
    if (!AdvanceToNonspace(&current, end)) {
      *processed_characters_count = static_cast<int>(current - input);
      return empty_string_value_;
    }
    if (!allow_leading_spaces && (input != current)) {

      return junk_string_value_;
    }
  }



  int exponent = 0;
  int significant_digits = 0;
  int insignificant_digits = 0;
  bool nonzero_digit_dropped = false;

  bool sign = false;

  if (*current == '+' || *current == '-') {
    sign = (*current == '-');
    ++current;
    Iterator next_non_space = current;

    if (!AdvanceToNonspace(&next_non_space, end)) return junk_string_value_;
    if (!allow_spaces_after_sign && (current != next_non_space)) {
      return junk_string_value_;
    }
    current = next_non_space;
  }

  if (infinity_symbol_ != nullptr) {
    if (ConsumeFirstCharacter(*current, infinity_symbol_, allow_case_insensitivity)) {
      if (!ConsumeSubString(&current, end, infinity_symbol_, allow_case_insensitivity)) {
        return junk_string_value_;
      }

      if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) {
        return junk_string_value_;
      }
      if (!allow_trailing_junk && AdvanceToNonspace(&current, end)) {
        return junk_string_value_;
      }

      *processed_characters_count = static_cast<int>(current - input);
      return sign ? -Double::Infinity() : Double::Infinity();
    }
  }

  if (nan_symbol_ != nullptr) {
    if (ConsumeFirstCharacter(*current, nan_symbol_, allow_case_insensitivity)) {
      if (!ConsumeSubString(&current, end, nan_symbol_, allow_case_insensitivity)) {
        return junk_string_value_;
      }

      if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) {
        return junk_string_value_;
      }
      if (!allow_trailing_junk && AdvanceToNonspace(&current, end)) {
        return junk_string_value_;
      }

      *processed_characters_count = static_cast<int>(current - input);
      return sign ? -Double::NaN() : Double::NaN();
    }
  }

  bool leading_zero = false;
  if (*current == '0') {
    if (Advance(&current, separator_, 10, end)) {
      *processed_characters_count = static_cast<int>(current - input);
      return SignedZero(sign);
    }

    leading_zero = true;


    if (((flags_ & ALLOW_HEX) || (flags_ & ALLOW_HEX_FLOATS)) &&
        (*current == 'x' || *current == 'X')) {
      ++current;

      if (current == end) return junk_string_value_;

      bool parse_as_hex_float = (flags_ & ALLOW_HEX_FLOATS) &&
                IsHexFloatString(current, end, separator_, allow_trailing_junk);

      if (!parse_as_hex_float && !isDigit(*current, 16)) {
        return junk_string_value_;
      }

      bool result_is_junk;
      double result = RadixStringToIeee<4>(&current,
                                           end,
                                           sign,
                                           separator_,
                                           parse_as_hex_float,
                                           allow_trailing_junk,
                                           junk_string_value_,
                                           read_as_double,
                                           &result_is_junk);
      if (!result_is_junk) {
        if (allow_trailing_spaces) AdvanceToNonspace(&current, end);
        *processed_characters_count = static_cast<int>(current - input);
      }
      return result;
    }


    while (*current == '0') {
      if (Advance(&current, separator_, 10, end)) {
        *processed_characters_count = static_cast<int>(current - input);
        return SignedZero(sign);
      }
    }
  }

  bool octal = leading_zero && (flags_ & ALLOW_OCTALS) != 0;


  const int kBufferSize = kMaxSignificantDigits + 10;
  __attribute__((uninitialized)) char
      buffer[kBufferSize];
  int buffer_pos = 0;


  while (*current >= '0' && *current <= '9') {
    if (significant_digits < kMaxSignificantDigits) {
      
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     (static_cast <bool> (
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     buffer_pos < kBufferSize
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     ) ? void (0) : __assert_fail (
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
     "buffer_pos < kBufferSize"
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 573 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                       ;
      buffer[buffer_pos++] = static_cast<char>(*current);
      significant_digits++;

    } else {
      insignificant_digits++;
      nonzero_digit_dropped = nonzero_digit_dropped || *current != '0';
    }
    octal = octal && *current < '8';
    if (Advance(&current, separator_, 10, end)) goto parsing_done;
  }

  if (significant_digits == 0) {
    octal = false;
  }

  if (*current == '.') {
    if (octal && !allow_trailing_junk) return junk_string_value_;
    if (octal) goto parsing_done;

    if (Advance(&current, separator_, 10, end)) {
      if (significant_digits == 0 && !leading_zero) {
        return junk_string_value_;
      } else {
        goto parsing_done;
      }
    }

    if (significant_digits == 0) {



      while (*current == '0') {
        if (Advance(&current, separator_, 10, end)) {
          *processed_characters_count = static_cast<int>(current - input);
          return SignedZero(sign);
        }
        exponent--;
      }
    }



    while (*current >= '0' && *current <= '9') {
      if (significant_digits < kMaxSignificantDigits) {
        
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
       (static_cast <bool> (
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
       buffer_pos < kBufferSize
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
       ) ? void (0) : __assert_fail (
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
       "buffer_pos < kBufferSize"
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
       , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 618 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                         ;
        buffer[buffer_pos++] = static_cast<char>(*current);
        significant_digits++;
        exponent--;
      } else {

        nonzero_digit_dropped = nonzero_digit_dropped || *current != '0';
      }
      if (Advance(&current, separator_, 10, end)) goto parsing_done;
    }
  }

  if (!leading_zero && exponent == 0 && significant_digits == 0) {




    return junk_string_value_;
  }


  if (*current == 'e' || *current == 'E') {
    if (octal && !allow_trailing_junk) return junk_string_value_;
    if (octal) goto parsing_done;
    Iterator junk_begin = current;
    ++current;
    if (current == end) {
      if (allow_trailing_junk) {
        current = junk_begin;
        goto parsing_done;
      } else {
        return junk_string_value_;
      }
    }
    char exponen_sign = '+';
    if (*current == '+' || *current == '-') {
      exponen_sign = static_cast<char>(*current);
      ++current;
      if (current == end) {
        if (allow_trailing_junk) {
          current = junk_begin;
          goto parsing_done;
        } else {
          return junk_string_value_;
        }
      }
    }

    if (current == end || *current < '0' || *current > '9') {
      if (allow_trailing_junk) {
        current = junk_begin;
        goto parsing_done;
      } else {
        return junk_string_value_;
      }
    }

    const int max_exponent = 0x7fffffff 
# 675 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                    / 2;
    
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   (static_cast <bool> (
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   -max_exponent / 2 <= exponent && exponent <= max_exponent / 2
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   ) ? void (0) : __assert_fail (
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   "-max_exponent / 2 <= exponent && exponent <= max_exponent / 2"
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 676 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                                                          ;
    int num = 0;
    do {

      int digit = *current - '0';
      if (num >= max_exponent / 10
          && !(num == max_exponent / 10 && digit <= max_exponent % 10)) {
        num = max_exponent;
      } else {
        num = num * 10 + digit;
      }
      ++current;
    } while (current != end && *current >= '0' && *current <= '9');

    exponent += (exponen_sign == '-' ? -num : num);
  }

  if (!(allow_trailing_spaces || allow_trailing_junk) && (current != end)) {
    return junk_string_value_;
  }
  if (!allow_trailing_junk && AdvanceToNonspace(&current, end)) {
    return junk_string_value_;
  }
  if (allow_trailing_spaces) {
    AdvanceToNonspace(&current, end);
  }

  parsing_done:
  exponent += insignificant_digits;

  if (octal) {
    double result;
    bool result_is_junk;
    char* start = buffer;
    result = RadixStringToIeee<3>(&start,
                                  buffer + buffer_pos,
                                  sign,
                                  separator_,
                                  false,
                                  allow_trailing_junk,
                                  junk_string_value_,
                                  read_as_double,
                                  &result_is_junk);
    
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   (static_cast <bool> (
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   !result_is_junk
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   ) ? void (0) : __assert_fail (
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
   "!result_is_junk"
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 719 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                            ;
    *processed_characters_count = static_cast<int>(current - input);
    return result;
  }

  if (nonzero_digit_dropped) {
    buffer[buffer_pos++] = '1';
    exponent--;
  }

  
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 (static_cast <bool> (
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 buffer_pos < kBufferSize
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 ) ? void (0) : __assert_fail (
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
 "buffer_pos < kBufferSize"
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 729 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/string-to-double.cc"
                                                   ;
  buffer[buffer_pos] = '\0';



  Vector<const char> chars(buffer, buffer_pos);
  chars = TrimTrailingZeros(chars);
  exponent += buffer_pos - chars.length();

  double converted;
  if (read_as_double) {
    converted = StrtodTrimmed(chars, exponent);
  } else {
    converted = StrtofTrimmed(chars, exponent);
  }
  *processed_characters_count = static_cast<int>(current - input);
  return sign? -converted: converted;
}


double StringToDoubleConverter::StringToDouble(
    const char* buffer,
    int length,
    int* processed_characters_count) const {
  return StringToIeee(buffer, length, true, processed_characters_count);
}


double StringToDoubleConverter::StringToDouble(
    const uc16* buffer,
    int length,
    int* processed_characters_count) const {
  return StringToIeee(buffer, length, true, processed_characters_count);
}


float StringToDoubleConverter::StringToFloat(
    const char* buffer,
    int length,
    int* processed_characters_count) const {
  return static_cast<float>(StringToIeee(buffer, length, false,
                                         processed_characters_count));
}


float StringToDoubleConverter::StringToFloat(
    const uc16* buffer,
    int length,
    int* processed_characters_count) const {
  return static_cast<float>(StringToIeee(buffer, length, false,
                                         processed_characters_count));
}


template<>
double StringToDoubleConverter::StringTo<double>(
    const char* buffer,
    int length,
    int* processed_characters_count) const {
    return StringToDouble(buffer, length, processed_characters_count);
}


template<>
float StringToDoubleConverter::StringTo<float>(
    const char* buffer,
    int length,
    int* processed_characters_count) const {
    return StringToFloat(buffer, length, processed_characters_count);
}


template<>
double StringToDoubleConverter::StringTo<double>(
    const uc16* buffer,
    int length,
    int* processed_characters_count) const {
    return StringToDouble(buffer, length, processed_characters_count);
}


template<>
float StringToDoubleConverter::StringTo<float>(
    const uc16* buffer,
    int length,
    int* processed_characters_count) const {
    return StringToFloat(buffer, length, processed_characters_count);
}

}