hk.exe

# 1 "f:\\Coding\\C++\\hk.cpp"
# 1 "C:\\MinGW\\bin//"
# 1 "<built-in>"
# 1 "<command-line>"
# 1 "f:\\Coding\\C++\\hk.cpp"
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 1 3
# 236 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 3

# 236 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 3
namespace std
{
  typedef unsigned int size_t;
  typedef int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}
# 258 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 508 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\os_defines.h" 1 3
# 509 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 2 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\cpu_defines.h" 1 3
# 512 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++config.h" 2 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iosfwd" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iosfwd" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iosfwd" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stringfwd.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stringfwd.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stringfwd.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\memoryfwd.h" 1 3
# 46 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\memoryfwd.h" 3
       
# 47 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\memoryfwd.h" 3



namespace std
{

# 63 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\memoryfwd.h" 3
  template<typename>
    class allocator;

  template<>
    class allocator<void>;


  template<typename, typename>
    struct uses_allocator;




}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stringfwd.h" 2 3

namespace std
{








  template<class _CharT>
    struct char_traits;

  template<> struct char_traits<char>;


  template<> struct char_traits<wchar_t>;




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


namespace __cxx11 {

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


  typedef basic_string<char> string;



  typedef basic_string<wchar_t> wstring;





  typedef basic_string<char16_t> u16string;


  typedef basic_string<char32_t> u32string;


}




}
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iosfwd" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 1 3
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3
       
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3




# 1 "c:\\mingw\\include\\wchar.h" 1 3
# 35 "c:\\mingw\\include\\wchar.h" 3
       
# 36 "c:\\mingw\\include\\wchar.h" 3
# 53 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\_mingw.h" 1 3
# 55 "c:\\mingw\\include\\_mingw.h" 3
       
# 56 "c:\\mingw\\include\\_mingw.h" 3
# 66 "c:\\mingw\\include\\_mingw.h" 3
# 1 "c:\\mingw\\include\\msvcrtver.h" 1 3
# 35 "c:\\mingw\\include\\msvcrtver.h" 3
       
# 36 "c:\\mingw\\include\\msvcrtver.h" 3
# 67 "c:\\mingw\\include\\_mingw.h" 2 3






# 1 "c:\\mingw\\include\\w32api.h" 1 3
# 35 "c:\\mingw\\include\\w32api.h" 3
       
# 36 "c:\\mingw\\include\\w32api.h" 3
# 59 "c:\\mingw\\include\\w32api.h" 3
# 1 "c:\\mingw\\include\\sdkddkver.h" 1 3
# 35 "c:\\mingw\\include\\sdkddkver.h" 3
       
# 36 "c:\\mingw\\include\\sdkddkver.h" 3
# 60 "c:\\mingw\\include\\w32api.h" 2 3
# 74 "c:\\mingw\\include\\_mingw.h" 2 3
# 174 "c:\\mingw\\include\\_mingw.h" 3
# 1 "c:\\mingw\\include\\features.h" 1 3
# 39 "c:\\mingw\\include\\features.h" 3
       
# 40 "c:\\mingw\\include\\features.h" 3
# 175 "c:\\mingw\\include\\_mingw.h" 2 3
# 54 "c:\\mingw\\include\\wchar.h" 2 3







# 1 "c:\\mingw\\include\\wctype.h" 1 3
# 33 "c:\\mingw\\include\\wctype.h" 3
       
# 34 "c:\\mingw\\include\\wctype.h" 3
# 87 "c:\\mingw\\include\\wctype.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 357 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 3 4
typedef short unsigned int wint_t;
# 88 "c:\\mingw\\include\\wctype.h" 2 3

typedef wchar_t wctype_t;


extern "C" {







 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswalnum (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswalpha (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswascii (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswcntrl (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswctype (wint_t, wctype_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswdigit (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswgraph (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswlower (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswprint (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswpunct (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswspace (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswupper (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswxdigit (wint_t);

__attribute__((__deprecated__))





 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int is_wctype (wint_t, wctype_t);


__attribute__((__cdecl__)) __attribute__((__nothrow__)) int iswblank (wint_t);







 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t towlower (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t towupper (wint_t);
# 182 "c:\\mingw\\include\\wctype.h" 3
}
# 191 "c:\\mingw\\include\\wctype.h" 3
typedef wchar_t wctrans_t;

extern "C" {
# 202 "c:\\mingw\\include\\wctype.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t towctrans (wint_t, wctrans_t);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) wctrans_t wctrans (const char*);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) wctype_t wctype (const char*);

}
# 62 "c:\\mingw\\include\\wchar.h" 2 3




# 1 "c:\\mingw\\include\\sys\\types.h" 1 3
# 34 "c:\\mingw\\include\\sys\\types.h" 3
       
# 35 "c:\\mingw\\include\\sys\\types.h" 3
# 62 "c:\\mingw\\include\\sys\\types.h" 3
  typedef long __off32_t;




  typedef __off32_t _off_t;







  typedef _off_t off_t;
# 91 "c:\\mingw\\include\\sys\\types.h" 3
  typedef long long __off64_t;






  typedef __off64_t off64_t;
# 115 "c:\\mingw\\include\\sys\\types.h" 3
  typedef int _ssize_t;







  typedef _ssize_t ssize_t;
# 139 "c:\\mingw\\include\\sys\\types.h" 3
  typedef long __time32_t;
  typedef long long __time64_t;
# 149 "c:\\mingw\\include\\sys\\types.h" 3
   typedef __time32_t time_t;
# 174 "c:\\mingw\\include\\sys\\types.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 149 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 3 4
typedef int ptrdiff_t;
# 216 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 3 4
typedef unsigned int size_t;
# 175 "c:\\mingw\\include\\sys\\types.h" 2 3
# 184 "c:\\mingw\\include\\sys\\types.h" 3
typedef unsigned int _dev_t;
# 195 "c:\\mingw\\include\\sys\\types.h" 3
typedef short _ino_t;
typedef unsigned short _mode_t;
typedef int _pid_t;
typedef int _sigset_t;
# 207 "c:\\mingw\\include\\sys\\types.h" 3
typedef _dev_t dev_t;
typedef _ino_t ino_t;
typedef _mode_t mode_t;
typedef _pid_t pid_t;
typedef _sigset_t sigset_t;


typedef long long fpos64_t;






typedef unsigned long useconds_t __attribute__((__deprecated__));
# 67 "c:\\mingw\\include\\wchar.h" 2 3
# 83 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\stdio.h" 1 3
# 38 "c:\\mingw\\include\\stdio.h" 3
       
# 39 "c:\\mingw\\include\\stdio.h" 3
# 68 "c:\\mingw\\include\\stdio.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 69 "c:\\mingw\\include\\stdio.h" 2 3
# 95 "c:\\mingw\\include\\stdio.h" 3
# 1 "c:\\mingw\\include\\sys/types.h" 1 3
# 96 "c:\\mingw\\include\\stdio.h" 2 3






# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stdarg.h" 1 3 4
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 103 "c:\\mingw\\include\\stdio.h" 2 3
# 210 "c:\\mingw\\include\\stdio.h" 3
typedef struct _iobuf
{
  char *_ptr;
  int _cnt;
  char *_base;
  int _flag;
  int _file;
  int _charbuf;
  int _bufsiz;
  char *_tmpfname;
} FILE;
# 252 "c:\\mingw\\include\\stdio.h" 3
extern "C" {
# 1041 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fwprintf (FILE *, const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wprintf (const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vfwprintf (FILE *, const wchar_t *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vwprintf (const wchar_t *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _snwprintf (wchar_t *, size_t, const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _vscwprintf (const wchar_t *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _vsnwprintf (wchar_t *, size_t, const wchar_t *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fwscanf (FILE *, const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wscanf (const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int swscanf (const wchar_t *, const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t fgetwc (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t fputwc (wchar_t, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t ungetwc (wchar_t, FILE *);




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int swprintf (wchar_t *, const wchar_t *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vswprintf (wchar_t *, const wchar_t *, __builtin_va_list);



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t * fgetws (wchar_t *, int, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fputws (const wchar_t *, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t getwc (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t getwchar (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t putwc (wint_t, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t putwchar (wint_t);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t * _getws (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _putws (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _wfdopen(int, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _wfopen (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _wfreopen (const wchar_t *, const wchar_t *, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _wfsopen (const wchar_t *, const wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t * _wtmpnam (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t * _wtempnam (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wrename (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wremove (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void _wperror (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _wpopen (const wchar_t *, const wchar_t *);






__attribute__((__cdecl__)) __attribute__((__nothrow__)) int snwprintf (wchar_t *, size_t, const wchar_t *, ...);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int vsnwprintf (wchar_t *, size_t, const wchar_t *, __builtin_va_list);
# 1099 "c:\\mingw\\include\\stdio.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int vwscanf (const wchar_t *__restrict__, __builtin_va_list);
__attribute__((__cdecl__)) __attribute__((__nothrow__))
int vfwscanf (FILE *__restrict__, const wchar_t *__restrict__, __builtin_va_list);
__attribute__((__cdecl__)) __attribute__((__nothrow__))
int vswscanf (const wchar_t *__restrict__, const wchar_t * __restrict__, __builtin_va_list);
# 1131 "c:\\mingw\\include\\stdio.h" 3
}
# 84 "c:\\mingw\\include\\wchar.h" 2 3
# 147 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\stdlib.h" 1 3
# 34 "c:\\mingw\\include\\stdlib.h" 3
       
# 35 "c:\\mingw\\include\\stdlib.h" 3
# 90 "c:\\mingw\\include\\stdlib.h" 3
extern "C" {
# 394 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__))
long wcstol (const wchar_t *, wchar_t **, int);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
unsigned long wcstoul (const wchar_t *, wchar_t **, int);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) double wcstod (const wchar_t *, wchar_t **);





__attribute__((__cdecl__)) __attribute__((__nothrow__))
float wcstof (const wchar_t *__restrict__, wchar_t **__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
long double wcstold (const wchar_t *__restrict__, wchar_t **__restrict__);
# 451 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wgetenv (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wputenv (const wchar_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _wsearchenv (const wchar_t *, const wchar_t *, wchar_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wsystem (const wchar_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _wmakepath (wchar_t *, const wchar_t *, const wchar_t *, const wchar_t *,
    const wchar_t *
  );

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _wsplitpath (const wchar_t *, wchar_t *, wchar_t *, wchar_t *, wchar_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
wchar_t *_wfullpath (wchar_t *, const wchar_t *, size_t);
# 866 "c:\\mingw\\include\\stdlib.h" 3
}
# 148 "c:\\mingw\\include\\wchar.h" 2 3
# 199 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\direct.h" 1 3
# 34 "c:\\mingw\\include\\direct.h" 3
       
# 35 "c:\\mingw\\include\\direct.h" 3
# 60 "c:\\mingw\\include\\direct.h" 3
extern "C" {
# 86 "c:\\mingw\\include\\direct.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wchdir (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wgetcwd (wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wgetdcwd (int, wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wmkdir (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wrmdir (const wchar_t *);



}
# 200 "c:\\mingw\\include\\wchar.h" 2 3
# 212 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\sys/stat.h" 1 3
# 34 "c:\\mingw\\include\\sys/stat.h" 3
       
# 35 "c:\\mingw\\include\\sys/stat.h" 3
# 173 "c:\\mingw\\include\\sys/stat.h" 3
struct _stat { _dev_t st_dev; _ino_t st_ino; _mode_t st_mode; short st_nlink; short st_uid; short st_gid; _dev_t st_rdev; _off_t st_size; time_t st_atime; time_t st_mtime; time_t st_ctime; };






struct stat { _dev_t st_dev; _ino_t st_ino; _mode_t st_mode; short st_nlink; short st_uid; short st_gid; _dev_t st_rdev; _off_t st_size; time_t st_atime; time_t st_mtime; time_t st_ctime; };







struct _stati64 { _dev_t st_dev; _ino_t st_ino; _mode_t st_mode; short st_nlink; short st_uid; short st_gid; _dev_t st_rdev; __off64_t st_size; time_t st_atime; time_t st_mtime; time_t st_ctime; };






struct __stat64 { _dev_t st_dev; _ino_t st_ino; _mode_t st_mode; short st_nlink; short st_uid; short st_gid; _dev_t st_rdev; __off64_t st_size; __time64_t st_atime; __time64_t st_mtime; __time64_t st_ctime; };
# 218 "c:\\mingw\\include\\sys/stat.h" 3
extern "C" {
# 352 "c:\\mingw\\include\\sys/stat.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wstat(const wchar_t *, struct _stat *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wstati64 (const wchar_t *, struct _stati64 *);






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wstat64 (const wchar_t *, struct __stat64 *);
# 398 "c:\\mingw\\include\\sys/stat.h" 3
}
# 213 "c:\\mingw\\include\\wchar.h" 2 3
# 237 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\conio.h" 1 3
# 34 "c:\\mingw\\include\\conio.h" 3
       
# 35 "c:\\mingw\\include\\conio.h" 3
# 63 "c:\\mingw\\include\\conio.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 64 "c:\\mingw\\include\\conio.h" 2 3

extern "C" {
# 146 "c:\\mingw\\include\\conio.h" 3
}
# 238 "c:\\mingw\\include\\wchar.h" 2 3
# 254 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\io.h" 1 3
# 38 "c:\\mingw\\include\\io.h" 3
       
# 39 "c:\\mingw\\include\\io.h" 3
# 67 "c:\\mingw\\include\\io.h" 3
# 1 "c:\\mingw\\include\\stdint.h" 1 3
# 34 "c:\\mingw\\include\\stdint.h" 3
       
# 35 "c:\\mingw\\include\\stdint.h" 3
# 106 "c:\\mingw\\include\\stdint.h" 3
 typedef int __intptr_t;

typedef __intptr_t intptr_t;
# 68 "c:\\mingw\\include\\io.h" 2 3
# 104 "c:\\mingw\\include\\io.h" 3
typedef unsigned long _fsize_t;
# 174 "c:\\mingw\\include\\io.h" 3
extern "C" {
# 341 "c:\\mingw\\include\\io.h" 3
struct _wfinddata_t { unsigned attrib; time_t time_create; time_t time_access; time_t time_write; _fsize_t size; wchar_t name[(260)]; };
struct _wfinddatai64_t { unsigned attrib; time_t time_create; time_t time_access; time_t time_write; long long size; wchar_t name[(260)]; };







 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wfindfirst (const wchar_t *, struct _wfinddata_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
int _wfindnext (intptr_t, struct _wfinddata_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wfindfirsti64 (const wchar_t *, struct _wfinddatai64_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
int _wfindnexti64 (intptr_t, struct _wfinddatai64_t *);







struct __wfinddata64_t { unsigned attrib; __time64_t time_create; __time64_t time_access; __time64_t time_write; long long size; wchar_t name[(260)]; };
# 377 "c:\\mingw\\include\\io.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wfindfirst64 (const wchar_t *, struct __wfinddata64_t *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
int _wfindnext64 (intptr_t, struct __wfinddata64_t *);
# 484 "c:\\mingw\\include\\io.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _findclose (intptr_t);
# 525 "c:\\mingw\\include\\io.h" 3
}
# 551 "c:\\mingw\\include\\io.h" 3
extern "C" {
# 636 "c:\\mingw\\include\\io.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _waccess (const wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wchmod (const wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcreat (const wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wunlink (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wopen (const wchar_t *, int, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wsopen (const wchar_t *, int, int, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wmktemp (wchar_t *);
# 701 "c:\\mingw\\include\\io.h" 3
}
# 255 "c:\\mingw\\include\\wchar.h" 2 3
# 307 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\time.h" 1 3
# 33 "c:\\mingw\\include\\time.h" 3
       
# 34 "c:\\mingw\\include\\time.h" 3
# 80 "c:\\mingw\\include\\time.h" 3
struct tm;
# 482 "c:\\mingw\\include\\time.h" 3
extern "C" {


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wasctime (const struct tm *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wstrdate (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wstrtime (wchar_t *);






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wctime64 (const __time64_t *);
# 508 "c:\\mingw\\include\\time.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wctime (const time_t *);
# 537 "c:\\mingw\\include\\time.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__))
size_t wcsftime (wchar_t *, size_t, const wchar_t *, const struct tm *);

}
# 308 "c:\\mingw\\include\\wchar.h" 2 3
# 345 "c:\\mingw\\include\\wchar.h" 3
# 1 "c:\\mingw\\include\\locale.h" 1 3
# 34 "c:\\mingw\\include\\locale.h" 3
       
# 35 "c:\\mingw\\include\\locale.h" 3
# 135 "c:\\mingw\\include\\locale.h" 3
extern "C" {
# 151 "c:\\mingw\\include\\locale.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wsetlocale (int, const wchar_t *);
# 178 "c:\\mingw\\include\\locale.h" 3
}
# 346 "c:\\mingw\\include\\wchar.h" 2 3







# 1 "c:\\mingw\\include\\process.h" 1 3
# 33 "c:\\mingw\\include\\process.h" 3
       
# 34 "c:\\mingw\\include\\process.h" 3
# 91 "c:\\mingw\\include\\process.h" 3
# 1 "c:\\mingw\\include\\stdint.h" 1 3
# 34 "c:\\mingw\\include\\stdint.h" 3
       
# 35 "c:\\mingw\\include\\stdint.h" 3
# 92 "c:\\mingw\\include\\process.h" 2 3

extern "C" {
# 255 "c:\\mingw\\include\\process.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexecl (const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexecle (const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexeclp (const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexeclpe (const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexecv (const wchar_t *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) intptr_t _wexecve
(const wchar_t *, const wchar_t * const *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wexecvp (const wchar_t *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) intptr_t _wexecvpe
(const wchar_t *, const wchar_t * const *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnl (int, const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnle (int, const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnlp (int, const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnlpe (int, const wchar_t *, const wchar_t *, ...);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnv (int, const wchar_t *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) intptr_t _wspawnve
(int, const wchar_t *, const wchar_t * const *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
intptr_t _wspawnvp (int, const wchar_t *, const wchar_t * const *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) intptr_t _wspawnvpe
(int, const wchar_t *, const wchar_t * const *, const wchar_t * const *);



}
# 354 "c:\\mingw\\include\\wchar.h" 2 3
# 387 "c:\\mingw\\include\\wchar.h" 3
extern "C" {
# 409 "c:\\mingw\\include\\wchar.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcscat (wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcschr (const wchar_t *, wchar_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcscmp (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcscoll (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcscpy (wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcscspn (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcslen (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsncat (wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcsncmp (const wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsncpy (wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcspbrk (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsrchr (const wchar_t *, wchar_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcsspn (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsstr (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcstok (wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcsxfrm (wchar_t *, const wchar_t *, size_t);




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcsdup (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcsicmp (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcsicoll (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcslwr (wchar_t*);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcsnicmp (const wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcsnset (wchar_t *, wchar_t, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcsrev (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcsset (wchar_t *, wchar_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wcsupr (wchar_t *);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcsncoll (const wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wcsnicoll (const wchar_t *, const wchar_t *, size_t);
# 462 "c:\\mingw\\include\\wchar.h" 3
int __attribute__((__cdecl__)) __attribute__((__nothrow__)) wcscmpi (const wchar_t *, const wchar_t *);
# 474 "c:\\mingw\\include\\wchar.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsdup (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcsicmp (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcsicoll (const wchar_t *, const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcslwr (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wcsnicmp (const wchar_t *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsnset (wchar_t *, wchar_t, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsrev (wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsset (wchar_t *, wchar_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wcsupr (wchar_t *);
# 508 "c:\\mingw\\include\\wchar.h" 3
extern size_t __mingw_wcsnlen (const wchar_t *, size_t);


inline __attribute__((__always_inline__)) size_t wcsnlen (const wchar_t *__text, size_t __maxlen)
{ return __mingw_wcsnlen (__text, __maxlen); }
# 526 "c:\\mingw\\include\\wchar.h" 3
typedef wchar_t _Wint_t;


typedef int mbstate_t;





__attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t btowc (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int wctob (wint_t);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
size_t mbrlen (const char *__restrict__, size_t, mbstate_t *__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t mbrtowc
(wchar_t *__restrict__, const char *__restrict__, size_t, mbstate_t *__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t mbsrtowcs
(wchar_t *__restrict__, const char **__restrict__, size_t, mbstate_t *__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
size_t wcrtomb (char * __restrict__, wchar_t, mbstate_t *__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcsrtombs
(char *__restrict__, const wchar_t **__restrict__, size_t, mbstate_t *__restrict__);







__attribute__((__cdecl__)) __attribute__((__nothrow__)) int fwide (FILE *, int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int mbsinit (const mbstate_t *);
# 572 "c:\\mingw\\include\\wchar.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wmemset (wchar_t *, wchar_t, size_t);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wmemchr (const wchar_t *, wchar_t, size_t);





int wmemcmp (const wchar_t *, const wchar_t *, size_t);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
wchar_t *wmemcpy (wchar_t *__restrict__, const wchar_t *__restrict__, size_t);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *wmemmove (wchar_t *, const wchar_t *, size_t);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
long long wcstoll (const wchar_t *__restrict__, wchar_t **__restrict__, int);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned long long wcstoull
(const wchar_t *__restrict__, wchar_t **__restrict__, int);


}
# 45 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 2 3
# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
namespace std
{
  using ::mbstate_t;
}
# 135 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
namespace std
{


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

  using ::vfwscanf;





  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;


  inline wchar_t*
  wcschr(wchar_t* __p, wchar_t __c)
  { return wcschr(const_cast<const wchar_t*>(__p), __c); }

  inline wchar_t*
  wcspbrk(wchar_t* __s1, const wchar_t* __s2)
  { return wcspbrk(const_cast<const wchar_t*>(__s1), __s2); }

  inline wchar_t*
  wcsrchr(wchar_t* __p, wchar_t __c)
  { return wcsrchr(const_cast<const wchar_t*>(__p), __c); }

  inline wchar_t*
  wcsstr(wchar_t* __s1, const wchar_t* __s2)
  { return wcsstr(const_cast<const wchar_t*>(__s1), __s2); }

  inline wchar_t*
  wmemchr(wchar_t* __p, wchar_t __c, size_t __n)
  { return wmemchr(const_cast<const wchar_t*>(__p), __c, __n); }



}







namespace __gnu_cxx
{





  using ::wcstold;
# 257 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
  using ::wcstoll;
  using ::wcstoull;

}

namespace std
{
  using ::__gnu_cxx::wcstold;
  using ::__gnu_cxx::wcstoll;
  using ::__gnu_cxx::wcstoull;
}
# 277 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 2 3
# 68 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3
namespace std
{

# 90 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3
  typedef long long streamoff;







  typedef ptrdiff_t streamsize;
# 111 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3
  template<typename _StateT>
    class fpos
    {
    private:
      streamoff _M_off;
      _StateT _M_state;

    public:




      fpos()
      : _M_off(0), _M_state() { }
# 133 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\postypes.h" 3
      fpos(streamoff __off)
      : _M_off(__off), _M_state() { }


      operator streamoff() const { return _M_off; }


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


      _StateT
      state() const
      { return _M_state; }





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





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







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







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






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






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

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





  typedef fpos<mbstate_t> streampos;

  typedef fpos<mbstate_t> wstreampos;



  typedef fpos<mbstate_t> u16streampos;

  typedef fpos<mbstate_t> u32streampos;



}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iosfwd" 2 3

namespace std
{

# 74 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;




}
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 3

#pragma GCC visibility push(default)


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception.h" 3
       
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception.h" 3

#pragma GCC visibility push(default)



extern "C++" {

namespace std
{
# 60 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception.h" 3
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;



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

}

}

#pragma GCC visibility pop
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 2 3

extern "C++" {

namespace std
{


  class bad_exception : public exception
  {
  public:
    bad_exception() noexcept { }



    virtual ~bad_exception() noexcept;


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


  typedef void (*terminate_handler) ();


  typedef void (*unexpected_handler) ();


  terminate_handler set_terminate(terminate_handler) noexcept;



  terminate_handler get_terminate() noexcept;




  void terminate() noexcept __attribute__ ((__noreturn__));


  unexpected_handler set_unexpected(unexpected_handler) noexcept;



  unexpected_handler get_unexpected() noexcept;




  void unexpected() __attribute__ ((__noreturn__));
# 101 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 3
 
  bool uncaught_exception() noexcept __attribute__ ((__pure__));




  int uncaught_exceptions() noexcept __attribute__ ((__pure__));



}

namespace __gnu_cxx
{

# 133 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 3
  void __verbose_terminate_handler();


}

}

#pragma GCC visibility pop


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 3
#pragma GCC visibility push(default)


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_defines.h" 1 3
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_init_exception.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_init_exception.h" 3
       
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_init_exception.h" 3

#pragma GCC visibility push(default)

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 426 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 3 4
typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));






  __float128 __max_align_f128 __attribute__((__aligned__(__alignof(__float128))));

} max_align_t;






  typedef decltype(nullptr) nullptr_t;
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_init_exception.h" 2 3
# 50 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 (__attribute__((__thiscall__)) *dest) (void *)) noexcept;

    }
}



#pragma GCC visibility pop
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\typeinfo" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\typeinfo" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\typeinfo" 3



# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\hash_bytes.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\hash_bytes.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\typeinfo" 2 3


#pragma GCC visibility push(default)

extern "C++" {

namespace __cxxabiv1
{
  class __class_type_info;
}
# 80 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
# 136 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\typeinfo" 3
    bool operator!=(const type_info& __arg) const noexcept
    { return !operator==(__arg); }


    size_t hash_code() const noexcept
    {

      return _Hash_bytes(name(), __builtin_strlen(name()),
    static_cast<size_t>(0xc70f6907UL));



    }



    virtual bool __is_pointer_p() const;


    virtual bool __is_function_p() const;







    virtual bool __do_catch(const type_info *__thr_type, void **__thr_obj,
       unsigned __outer) const;


    virtual bool __do_upcast(const __cxxabiv1::__class_type_info *__target,
        void **__obj_ptr) const;

  protected:
    const char *__name;

    explicit type_info(const char *__n): __name(__n) { }

  private:

    type_info& operator=(const type_info&);
    type_info(const type_info&);
  };







  class bad_cast : public exception
  {
  public:
    bad_cast() noexcept { }



    virtual ~bad_cast() noexcept;


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





  class bad_typeid : public exception
  {
  public:
    bad_typeid () noexcept { }



    virtual ~bad_typeid() noexcept;


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

}

#pragma GCC visibility pop
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 1 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 2 3

#pragma GCC visibility push(default)

extern "C++" {

namespace std
{






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



    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();
  };






  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;

}
# 120 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 3
void* operator new(std::size_t)
  __attribute__((__externally_visible__));
void* operator new[](std::size_t)
  __attribute__((__externally_visible__));
void operator delete(void*) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*) noexcept
  __attribute__((__externally_visible__));

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

void* operator new(std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void* operator new[](std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete(void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
# 168 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 3
inline void* operator new(std::size_t, void* __p) noexcept
{ return __p; }
inline void* operator new[](std::size_t, void* __p) noexcept
{ return __p; }


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

}
# 216 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\new" 3
#pragma GCC visibility pop
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 2 3

extern "C++" {

namespace std
{
  class type_info;





  namespace __exception_ptr
  {
    class exception_ptr;
  }

  using __exception_ptr::exception_ptr;





  exception_ptr current_exception() noexcept;

  template<typename _Ex>
  exception_ptr make_exception_ptr(_Ex) noexcept;


  void rethrow_exception(exception_ptr) __attribute__ ((__noreturn__));

  namespace __exception_ptr
  {
    using std::rethrow_exception;





    class exception_ptr
    {
      void* _M_exception_object;

      explicit exception_ptr(void* __e) noexcept;

      void _M_addref() noexcept;
      void _M_release() noexcept;

      void *_M_get() const noexcept __attribute__ ((__pure__));

      friend exception_ptr std::current_exception() noexcept;
      friend void std::rethrow_exception(exception_ptr);
      template<typename _Ex>
      friend exception_ptr std::make_exception_ptr(_Ex) noexcept;

    public:
      exception_ptr() noexcept;

      exception_ptr(const exception_ptr&) noexcept;


      exception_ptr(nullptr_t) noexcept
      : _M_exception_object(0)
      { }

      exception_ptr(exception_ptr&& __o) noexcept
      : _M_exception_object(__o._M_exception_object)
      { __o._M_exception_object = 0; }
# 117 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 3
      exception_ptr&
      operator=(const exception_ptr&) noexcept;


      exception_ptr&
      operator=(exception_ptr&& __o) noexcept
      {
        exception_ptr(static_cast<exception_ptr&&>(__o)).swap(*this);
        return *this;
      }


      ~exception_ptr() noexcept;

      void
      swap(exception_ptr&) noexcept;
# 144 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 3
      explicit operator bool() const
      { return _M_exception_object; }


      friend bool
      operator==(const exception_ptr&, const exception_ptr&)
 noexcept __attribute__ ((__pure__));

      const class std::type_info*
      __cxa_exception_type() const noexcept
 __attribute__ ((__pure__));
    };

    bool
    operator==(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));

    bool
    operator!=(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));

    inline void
    swap(exception_ptr& __lhs, exception_ptr& __rhs)
    { __lhs.swap(__rhs); }

    template<typename _Ex>
      inline void
      __dest_thunk(void* __x)
      { static_cast<_Ex*>(__x)->~_Ex(); }

  }


  template<typename _Ex>
    exception_ptr
    make_exception_ptr(_Ex __ex) noexcept
    {
# 197 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\exception_ptr.h" 3
      try
 {
          throw __ex;
 }
      catch(...)
 {
   return current_exception();
 }



    }


}

}

#pragma GCC visibility pop
# 144 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\nested_exception.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\nested_exception.h" 3
#pragma GCC visibility push(default)






# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\concept_check.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\concept_check.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\concept_check.h" 3
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 2 3

namespace std
{







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




}

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3







namespace std
{

# 56 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      typedef _Tp value_type;
      typedef integral_constant<_Tp, __v> type;
      constexpr operator value_type() const noexcept { return value; }




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

    };

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


  typedef integral_constant<bool, true> true_type;


  typedef integral_constant<bool, false> false_type;

  template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;
# 91 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<bool, typename, typename>
    struct conditional;

  template<typename...>
    struct __or_;

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

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

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

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

  template<typename...>
    struct __and_;

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

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

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

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

  template<typename _Pp>
    struct __not_
    : public __bool_constant<!bool(_Pp::value)>
    { };
# 180 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

  struct __failure_type
  { };



  template<typename>
    struct remove_cv;

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

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


  template<typename _Tp>
    struct is_void
    : public __is_void_helper<typename remove_cv<_Tp>::type>::type
    { };

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

  template<>
    struct __is_integral_helper<bool>
    : public true_type { };

  template<>
    struct __is_integral_helper<char>
    : public true_type { };

  template<>
    struct __is_integral_helper<signed char>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };


  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };


  template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<short>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };

  template<>
    struct __is_integral_helper<int>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };

  template<>
    struct __is_integral_helper<long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };

  template<>
    struct __is_integral_helper<long long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };
# 312 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<typename remove_cv<_Tp>::type>::type
    { };

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

  template<>
    struct __is_floating_point_helper<float>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<double>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };


  template<>
    struct __is_floating_point_helper<__float128>
    : public true_type { };



  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type
    { };


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

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

  template<typename _Tp>
    struct is_array<_Tp[]>
    : public true_type { };

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

  template<typename _Tp>
    struct __is_pointer_helper<_Tp*>
    : public true_type { };


  template<typename _Tp>
    struct is_pointer
    : public __is_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };


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

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


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

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

  template<typename>
    struct is_function;

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

  template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, !is_function<_Tp>::value> { };


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

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

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


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


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


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


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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



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

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


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


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




  template<typename _Tp>
    struct is_reference
    : public __or_<is_lvalue_reference<_Tp>,
                   is_rvalue_reference<_Tp>>::type
    { };


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


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


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

  template<typename>
    struct is_member_pointer;


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


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

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

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


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



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

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

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




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

  template<typename _Tp>
    struct is_const<_Tp const>
    : public true_type { };


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

  template<typename _Tp>
    struct is_volatile<_Tp volatile>
    : public true_type { };


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


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


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



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


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


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


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




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



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

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

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


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


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };
# 747 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

  template<typename _Tp>
    _Tp
    __declval(long);

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

  template<typename, unsigned = 0>
    struct extent;

  template<typename>
    struct remove_all_extents;

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

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






  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

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

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

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

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

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

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


  template<typename _Tp>
    struct is_destructible
    : public __is_destructible_safe<_Tp>::type
    { };





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

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

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

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

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

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

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


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

  struct __do_is_default_constructible_impl
  {
    template<typename _Tp, typename = decltype(_Tp())>
      static true_type __test(int);

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

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

  template<typename _Tp>
    struct __is_default_constructible_atom
    : public __and_<__not_<is_void<_Tp>>,
                    __is_default_constructible_impl<_Tp>>
    { };

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






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

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


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


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

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

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

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


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

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

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

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


  template<typename _Tp>
    struct is_move_constructible
    : public __is_move_constructible_impl<_Tp>
    { };

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

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

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

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


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

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

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

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


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

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

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

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, const _Tp&>
    { };


  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_copy_constructible_impl<_Tp>
    { };

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

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

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, _Tp&&>
    { };


  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_move_constructible_impl<_Tp>
    { };


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

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

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

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


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

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

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

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


  template<typename _Tp>
    struct is_move_assignable
    : public __is_move_assignable_impl<_Tp>
    { };

  template<typename _Tp, typename _Up>
    struct __is_nt_assignable_impl
    : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())>
    { };


  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __and_<is_assignable<_Tp, _Up>,
      __is_nt_assignable_impl<_Tp, _Up>>
    { };

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

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

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


  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nt_copy_assignable_impl<_Tp>
    { };

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

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

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


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


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


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

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

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

    static false_type __test(...);
  };

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

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

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



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

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

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

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



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

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

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

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


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



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

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

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

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



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

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

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

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


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



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





  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, __alignof__(_Tp)> { };


  template<typename>
    struct rank
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, std::size_t _Size>
    struct rank<_Tp[_Size]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };

  template<typename _Tp>
    struct rank<_Tp[]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };


  template<typename, unsigned _Uint>
    struct extent
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, unsigned _Uint, std::size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? _Size : extent<_Tp,
          _Uint - 1>::value>
    { };

  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? 0 : extent<_Tp,
             _Uint - 1>::value>
    { };





  template<typename, typename>
    struct is_same
    : public false_type { };

  template<typename _Tp>
    struct is_same<_Tp, _Tp>
    : public true_type { };


  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };

  template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_convertible_helper
    { typedef typename is_void<_To>::type type; };

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

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

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

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



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





  template<typename _Tp>
    struct remove_const
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_const<_Tp const>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_volatile
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_cv
    {
      typedef typename
      remove_const<typename remove_volatile<_Tp>::type>::type type;
    };


  template<typename _Tp>
    struct add_const
    { typedef _Tp const type; };


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


  template<typename _Tp>
    struct add_cv
    {
      typedef typename
      add_const<typename add_volatile<_Tp>::type>::type type;
    };






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


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


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


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


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


  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::type;





  template<typename _Tp>
    struct remove_reference
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&&>
    { typedef _Tp type; };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp type; };

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


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

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_rvalue_reference_helper
    { typedef _Tp type; };

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


  template<typename _Tp>
    struct add_rvalue_reference
    : public __add_rvalue_reference_helper<_Tp>
    { };



  template<typename _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;


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


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





  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { typedef _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { typedef volatile _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { typedef const _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { typedef const volatile _Unqualified __type; };

  template<typename _Qualified, typename _Unqualified,
    bool _IsConst = is_const<_Qualified>::value,
    bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;

    public:
      typedef typename __match::__type __type;
    };


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

  template<>
    struct __make_unsigned<char>
    { typedef unsigned char __type; };

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

  template<>
    struct __make_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __make_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __make_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __make_unsigned<long long>
    { typedef unsigned long long __type; };
# 1590 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt;
      typedef typename __unsignedt::__type __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

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

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

      typedef unsigned char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int);
      static const bool __b3 = sizeof(_Tp) <= sizeof(unsigned long);
      typedef conditional<__b3, unsigned long, unsigned long long> __cond3;
      typedef typename __cond3::type __cond3_type;
      typedef conditional<__b2, unsigned int, __cond3_type> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, unsigned short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;

      typedef typename conditional<__b0, __smallest, __cond1_type>::type
 __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

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





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


  template<>
    struct make_unsigned<bool>;



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

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

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

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

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

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

  template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };
# 1694 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;

  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      typedef __make_signed<typename remove_cv<_Tp>::type> __signedt;
      typedef typename __signedt::__type __signed_type;
      typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed;

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

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

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





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


  template<>
    struct make_signed<bool>;



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


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





  template<typename _Tp>
    struct remove_extent
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_extent<_Tp[_Size]>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_extent<_Tp[]>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_all_extents
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_all_extents<_Tp[_Size]>
    { typedef typename remove_all_extents<_Tp>::type type; };

  template<typename _Tp>
    struct remove_all_extents<_Tp[]>
    { typedef typename remove_all_extents<_Tp>::type type; };



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


  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;




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

  template<typename _Tp, typename _Up>
    struct __remove_pointer_helper<_Tp, _Up*>
    { typedef _Up type; };


  template<typename _Tp>
    struct remove_pointer
    : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type>
    { };


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

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

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



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


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


  template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__)) { } __align;
      };
    };
# 1840 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    };
# 1879 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template <size_t _Len, typename... _Types>
    struct aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

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

      static const size_t alignment_value = __strictest::_S_alignment;

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

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



  template<typename _Up,
    bool _IsArray = is_array<_Up>::value,
    bool _IsFunction = is_function<_Up>::value>
    struct __decay_selector;


  template<typename _Up>
    struct __decay_selector<_Up, false, false>
    { typedef typename remove_cv<_Up>::type __type; };

  template<typename _Up>
    struct __decay_selector<_Up, true, false>
    { typedef typename remove_extent<_Up>::type* __type; };

  template<typename _Up>
    struct __decay_selector<_Up, false, true>
    { typedef typename add_pointer<_Up>::type __type; };


  template<typename _Tp>
    class decay
    {
      typedef typename remove_reference<_Tp>::type __remove_type;

    public:
      typedef typename __decay_selector<__remove_type>::__type type;
    };

  template<typename _Tp>
    class reference_wrapper;


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

  template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };

  template<typename _Tp>
    struct __decay_and_strip
    {
      typedef typename __strip_reference_wrapper<
 typename decay<_Tp>::type>::__type __type;
    };




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


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

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



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { typedef _Iftrue type; };


  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { typedef _Iffalse type; };


  template<typename... _Tp>
    struct common_type;



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

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

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

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

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

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

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

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

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

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

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


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

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

  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0))
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval<_Tp>(0);
    }
# 2072 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };

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


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

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

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

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



  template<typename _Signature>
    class result_of;





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


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


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

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

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


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

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

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


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

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

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


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

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

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

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

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

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

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






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

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

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

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

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


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

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

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


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

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



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

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


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


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


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


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


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


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


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




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



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


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


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


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;
# 2403 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename... _Elements>
    class tuple;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };

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


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

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

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

  namespace __swappable_details {
    using std::swap;

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

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

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

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

  }

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

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

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

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






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


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



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


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


  namespace __swappable_with_details {
    using std::swap;

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

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

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

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

  }

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


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

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


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


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


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



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


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






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

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

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

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

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

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

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

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

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

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


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

  struct __nonesuch {
    __nonesuch() = delete;
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };
# 2968 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\type_traits" 3

}
# 56 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 2 3

namespace std
{

# 72 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 3
  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }







  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value, "template argument"
      " substituting _Tp is an lvalue reference type");
      return static_cast<_Tp&&>(__t);
    }






  template<typename _Tp>
    constexpr typename std::remove_reference<_Tp>::type&&
    move(_Tp&& __t) noexcept
    { return static_cast<typename std::remove_reference<_Tp>::type&&>(__t); }


  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
# 116 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 3
  template<typename _Tp>
    constexpr typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 136 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\move.h" 3
  template<typename _Tp>
    inline _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



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


  template <typename _Tp, typename _Up = _Tp>
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 176 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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]);
    }



}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\nested_exception.h" 2 3

extern "C++" {

namespace std
{






  class nested_exception
  {
    exception_ptr _M_ptr;

  public:
    nested_exception() noexcept : _M_ptr(current_exception()) { }

    nested_exception(const nested_exception&) noexcept = default;

    nested_exception& operator=(const nested_exception&) noexcept = default;

    virtual ~nested_exception() noexcept;

    [[noreturn]]
    void
    rethrow_nested() const
    {
      if (_M_ptr)
 rethrow_exception(_M_ptr);
      std::terminate();
    }

    exception_ptr
    nested_ptr() const noexcept
    { return _M_ptr; }
  };

  template<typename _Except>
    struct _Nested_exception : public _Except, public nested_exception
    {
      explicit _Nested_exception(const _Except& __ex)
      : _Except(__ex)
      { }

      explicit _Nested_exception(_Except&& __ex)
      : _Except(static_cast<_Except&&>(__ex))
      { }
    };




  template<typename _Tp>
    [[noreturn]]
    inline void
    __throw_with_nested_impl(_Tp&& __t, true_type)
    {
      using _Up = typename remove_reference<_Tp>::type;
      throw _Nested_exception<_Up>{std::forward<_Tp>(__t)};
    }

  template<typename _Tp>
    [[noreturn]]
    inline void
    __throw_with_nested_impl(_Tp&& __t, false_type)
    { throw std::forward<_Tp>(__t); }



  template<typename _Tp>
    [[noreturn]]
    inline void
    throw_with_nested(_Tp&& __t)
    {
      using _Up = typename decay<_Tp>::type;
      using _CopyConstructible
 = __and_<is_copy_constructible<_Up>, is_move_constructible<_Up>>;
      static_assert(_CopyConstructible::value,
   "throw_with_nested argument must be CopyConstructible");
      using __nest = __and_<is_class<_Up>, __bool_constant<!__is_final(_Up)>,
       __not_<is_base_of<nested_exception, _Up>>>;
      std::__throw_with_nested_impl(std::forward<_Tp>(__t), __nest{});
    }


  template<typename _Tp>
    using __rethrow_if_nested_cond = typename enable_if<
      __and_<is_polymorphic<_Tp>,
      __or_<__not_<is_base_of<nested_exception, _Tp>>,
     is_convertible<_Tp*, nested_exception*>>>::value
    >::type;


  template<typename _Ex>
    inline __rethrow_if_nested_cond<_Ex>
    __rethrow_if_nested_impl(const _Ex* __ptr)
    {
      if (auto __ne_ptr = dynamic_cast<const nested_exception*>(__ptr))
 __ne_ptr->rethrow_nested();
    }


  inline void
  __rethrow_if_nested_impl(const void*)
  { }


  template<typename _Ex>
    inline void
    rethrow_if_nested(const _Ex& __ex)
    { std::__rethrow_if_nested_impl(std::__addressof(__ex)); }


}

}



#pragma GCC visibility pop
# 145 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\exception" 2 3
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 1 3
# 60 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functexcept.h" 1 3
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functexcept.h" 3
namespace std
{



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


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


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

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


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

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

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

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

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

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

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

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

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

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


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

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

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


  void
  __throw_bad_function_call() __attribute__((__noreturn__));


}
# 61 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 1 3
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 3
       
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 3
# 67 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 3
extern "C++" {

namespace std
{


  struct __true_type { };
  struct __false_type { };

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

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



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


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

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


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

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




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





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

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

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

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


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



  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

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


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

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

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

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

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

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

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

  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 278 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_floating
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };


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

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

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




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

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




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




  template<typename _Tp>
    struct __is_scalar
    : public __traitor<__is_arithmetic<_Tp>, __is_pointer<_Tp> >
    { };




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

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


  template<>
    struct __is_char<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


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

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

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

  template<>
    struct __is_byte<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 408 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_move_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };



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


}
}
# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\type_traits.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\type_traits.h" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\type_traits.h" 3




extern "C++" {

namespace __gnu_cxx
{



  template<bool, typename>
    struct __enable_if
    { };

  template<typename _Tp>
    struct __enable_if<true, _Tp>
    { typedef _Tp __type; };



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct __conditional_type
    { typedef _Iftrue __type; };

  template<typename _Iftrue, typename _Iffalse>
    struct __conditional_type<false, _Iftrue, _Iffalse>
    { typedef _Iffalse __type; };



  template<typename _Tp>
    struct __add_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __add_unsigned<char>
    { typedef unsigned char __type; };

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

  template<>
    struct __add_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __add_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __add_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __add_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __add_unsigned<bool>;

  template<>
    struct __add_unsigned<wchar_t>;



  template<typename _Tp>
    struct __remove_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

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

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

  template<>
    struct __remove_unsigned<unsigned short>
    { typedef short __type; };

  template<>
    struct __remove_unsigned<unsigned int>
    { typedef int __type; };

  template<>
    struct __remove_unsigned<unsigned long>
    { typedef long __type; };

  template<>
    struct __remove_unsigned<unsigned long long>
    { typedef long long __type; };


  template<>
    struct __remove_unsigned<bool>;

  template<>
    struct __remove_unsigned<wchar_t>;



  template<typename _Type>
    inline bool
    __is_null_pointer(_Type* __ptr)
    { return __ptr == 0; }

  template<typename _Type>
    inline bool
    __is_null_pointer(_Type)
    { return false; }


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



  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };




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

  template<>
    struct __promote<long double>
    { typedef long double __type; };

  template<>
    struct __promote<double>
    { typedef double __type; };

  template<>
    struct __promote<float>
    { typedef float __type; };

  template<typename _Tp, typename _Up,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type>
    struct __promote_2
    {
      typedef __typeof__(_Tp2() + _Up2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type>
    struct __promote_3
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp, typename _Wp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type,
           typename _Wp2 = typename __promote<_Wp>::__type>
    struct __promote_4
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2() + _Wp2()) __type;
    };


}
}
# 63 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\numeric_traits.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\numeric_traits.h" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\numeric_traits.h" 3




namespace __gnu_cxx
{

# 54 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\numeric_traits.h" 3
  template<typename _Value>
    struct __numeric_traits_integer
    {

      static const _Value __min = (((_Value)(-1) < 0) ? (_Value)1 << (sizeof(_Value) * 8 - ((_Value)(-1) < 0)) : (_Value)0);
      static const _Value __max = (((_Value)(-1) < 0) ? (((((_Value)1 << ((sizeof(_Value) * 8 - ((_Value)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(_Value)0);



      static const bool __is_signed = ((_Value)(-1) < 0);
      static const int __digits = (sizeof(_Value) * 8 - ((_Value)(-1) < 0));
    };

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__min;

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__max;

  template<typename _Value>
    const bool __numeric_traits_integer<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
# 99 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\numeric_traits.h" 3
  template<typename _Value>
    struct __numeric_traits_floating
    {

      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 64) * 643L / 2136);


      static const bool __is_signed = true;
      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 18);
      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
    };

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_digits10;

  template<typename _Value>
    const bool __numeric_traits_floating<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__digits10;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_exponent10;

  template<typename _Value>
    struct __numeric_traits
    : public __conditional_type<std::__is_integer<_Value>::__value,
    __numeric_traits_integer<_Value>,
    __numeric_traits_floating<_Value> >::__type
    { };


}
# 64 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 1 3
# 65 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3
namespace std
{

# 76 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();


  template<typename...>
    class tuple;

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






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

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

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

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

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

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

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

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

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

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




  struct __nonesuch_no_braces : std::__nonesuch {
    explicit __nonesuch_no_braces(const __nonesuch&) = delete;
  };
# 197 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;






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

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


      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }
# 241 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3
      using _PCCP = _PCC<true, _T1, _T2>;

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

       template<typename _U1 = _T1, typename _U2=_T2, typename
  enable_if<_PCCP::template
       _ConstructiblePair<_U1, _U2>()
                   && !_PCCP::template
       _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
      explicit constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }
# 269 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3
      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;

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

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

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


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

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

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

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

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

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


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

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

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

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

      pair&
      operator=(typename conditional<
  __not_<__and_<is_copy_assignable<_T1>,
                is_copy_assignable<_T2>>>::value,
  const pair&, const __nonesuch_no_braces&>::type __p) = delete;

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

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

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

      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
                      __is_nothrow_swappable<_T2>>::value)
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }

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

    };






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


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


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


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


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


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





  template<typename _T1, typename _T2>
    inline


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



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


  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 516 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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));
    }
# 535 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_pair.h" 3

}
# 65 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 1 3
# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
       
# 63 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3







namespace std
{

# 89 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
  struct input_iterator_tag { };


  struct output_iterator_tag { };


  struct forward_iterator_tag : public input_iterator_tag { };



  struct bidirectional_iterator_tag : public forward_iterator_tag { };



  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
# 116 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
           typename _Pointer = _Tp*, typename _Reference = _Tp&>
    struct iterator
    {

      typedef _Category iterator_category;

      typedef _Tp value_type;

      typedef _Distance difference_type;

      typedef _Pointer pointer;

      typedef _Reference reference;
    };
# 143 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };

  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      typedef typename _Iterator::iterator_category iterator_category;
      typedef typename _Iterator::value_type value_type;
      typedef typename _Iterator::difference_type difference_type;
      typedef typename _Iterator::pointer pointer;
      typedef typename _Iterator::reference reference;
    };

  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 177 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
  template<typename _Tp>
    struct iterator_traits<_Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef _Tp& reference;
    };


  template<typename _Tp>
    struct iterator_traits<const _Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef const _Tp* pointer;
      typedef const _Tp& reference;
    };





  template<typename _Iter>
    inline constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }
# 231 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_types.h" 3
  template<typename _InIter>
    using _RequireInputIter = typename
      enable_if<is_convertible<typename
  iterator_traits<_InIter>::iterator_category,
          input_iterator_tag>::value>::type;



}
# 66 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 1 3
# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 3
       
# 63 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\debug\\assertions.h" 1 3
# 66 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 2 3

namespace std
{




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


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

     

      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      while (__first != __last)
 {
   ++__first;
   ++__n;
 }
      return __n;
    }

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

     

      return __last - __first;
    }



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

  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_const_iterator<_Tp>,
        std::_List_const_iterator<_Tp>,
        input_iterator_tag);
# 135 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    inline
    typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {

      return std::__distance(__first, __last,
        std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

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

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

     

      if (__n > 0)
        while (__n--)
   ++__i;
      else
        while (__n++)
   --__i;
    }

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

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }
# 200 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    inline void
    advance(_InputIterator& __i, _Distance __n)
    {

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



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

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

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

     

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




}
# 67 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 1 3
# 66 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ptr_traits.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ptr_traits.h" 3
namespace std
{


  class __undefined;


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

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

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


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

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

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

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





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

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

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

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

    public:

      using pointer = _Ptr;


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


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


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

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

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





  template<typename _Tp>
    struct pointer_traits<_Tp*>
    {

      typedef _Tp* pointer;

      typedef _Tp element_type;

      typedef ptrdiff_t difference_type;

      template<typename _Up>
        using rebind = _Up*;






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


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

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


  template<typename _Ptr>
    constexpr typename std::pointer_traits<_Ptr>::element_type*
    __to_address(const _Ptr& __ptr)
    { return std::__to_address(__ptr.operator->()); }
# 198 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ptr_traits.h" 3

}
# 67 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 2 3





namespace std
{

# 100 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
    protected:
      _Iterator current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::pointer pointer;
      typedef typename __traits_type::reference reference;







     
      reverse_iterator() : current() { }




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




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





      template<typename _Iter>

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




      iterator_type
      base() const
      { return current; }
# 167 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
      reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      pointer
      operator->() const
      { return &(operator*()); }






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






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






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






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






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







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






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







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






      reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
    };
# 297 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Iterator>
    inline bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

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

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

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

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

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



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

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

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

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

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

  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__x < __y); }
# 387 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


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







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




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

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

  template<typename _Iterator>
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 451 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)) { }
# 486 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }

      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }



      back_insert_iterator&
      operator*()
      { return *this; }


      back_insert_iterator&
      operator++()
      { return *this; }


      back_insert_iterator
      operator++(int)
      { return *this; }
    };
# 528 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Container>
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 543 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)) { }
# 577 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }

      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }



      front_insert_iterator&
      operator*()
      { return *this; }


      front_insert_iterator&
      operator++()
      { return *this; }


      front_insert_iterator
      operator++(int)
      { return *this; }
    };
# 619 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Container>
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 638 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;
      typename _Container::iterator iter;

    public:

      typedef _Container container_type;





      insert_iterator(_Container& __x, typename _Container::iterator __i)
      : container(std::__addressof(__x)), iter(__i) {}
# 689 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }

      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }



      insert_iterator&
      operator*()
      { return *this; }


      insert_iterator&
      operator++()
      { return *this; }


      insert_iterator&
      operator++(int)
      { return *this; }
    };
# 734 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Container, typename _Iterator>
    inline insert_iterator<_Container>
    inserter(_Container& __x, _Iterator __i)
    {
      return insert_iterator<_Container>(__x,
      typename _Container::iterator(__i));
    }




}

namespace __gnu_cxx
{

# 758 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  using std::iterator_traits;
  using std::iterator;
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;

      constexpr __normal_iterator() noexcept
      : _M_current(_Iterator()) { }

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


      template<typename _Iter>
        __normal_iterator(const __normal_iterator<_Iter,
     typename __enable_if<
              (std::__are_same<_Iter, typename _Container::pointer>::__value),
        _Container>::__type>& __i) noexcept
        : _M_current(__i.base()) { }


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

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

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

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


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

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


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

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

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

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

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

      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 858 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }


  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline bool
    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }





  template<typename _IteratorL, typename _IteratorR, typename _Container>


    inline auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs) noexcept
    -> decltype(__lhs.base() - __rhs.base())





    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline typename __normal_iterator<_Iterator, _Container>::difference_type
    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    inline __normal_iterator<_Iterator, _Container>
    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
       __n, const __normal_iterator<_Iterator, _Container>& __i)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

namespace std
{


  template<typename _Iterator, typename _Container>
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    { return __it.base(); }
# 1003 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator
    {
    protected:
      _Iterator _M_current;

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

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


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

     
      move_iterator()
      : _M_current() { }

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

      template<typename _Iter>

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

      iterator_type
      base() const
      { return _M_current; }

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

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

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

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

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

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

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

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

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

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

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




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

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

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

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

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

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

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

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

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

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

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

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


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

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

  template<typename _Iterator>
    inline move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(__i); }

  template<typename _Iterator, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
                _Iterator, move_iterator<_Iterator>>::type>
    inline _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



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



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

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

  template<typename _Iterator>
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }
# 1268 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_iterator.h" 3

}
# 68 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\debug\\debug.h" 1 3
# 48 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\debug\\debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;
}
# 70 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\predefined_ops.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 2 3

namespace std
{

# 118 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 148 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 164 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 192 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 216 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 240 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 262 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)
    { return __it; }







  template<bool, bool, typename>
    struct __copy_move
    {
      template<typename _II, typename _OI>
 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = *__first;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>
 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = std::move(*__first);
   return __result;
 }
    };


  template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = *__first;
       ++__first;
       ++__result;
     }
   return __result;
 }
    };


  template<>
    struct __copy_move<true, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = std::move(*__first);
       ++__first;
       ++__result;
     }
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
 static _Tp*
 __copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result)
 {

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

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

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
   return __result + _Num;
 }
    };

  template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::value_type _ValueTypeI;
      typedef typename iterator_traits<_OI>::value_type _ValueTypeO;
      typedef typename iterator_traits<_II>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueTypeI)
        && __is_pointer<_II>::__value
        && __is_pointer<_OI>::__value
        && __are_same<_ValueTypeI, _ValueTypeO>::__value);

      return std::__copy_move<_IsMove, __simple,
         _Category>::__copy_m(__first, __last, __result);
    }



  template<typename _CharT>
    struct char_traits;

  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

  template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      return _OI(std::__copy_move_a<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }
# 444 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _II, typename _OI>
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return (std::__copy_move_a2<__is_move_iterator<_II>::__value>
       (std::__miter_base(__first), std::__miter_base(__last),
        __result));
    }
# 477 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _II, typename _OI>
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a2<true>(std::__miter_base(__first),
           std::__miter_base(__last), __result);
    }






  template<bool, bool, typename>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>
 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = *--__last;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>
 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type __n;
   for (__n = __last - __first; __n > 0; --__n)
     *--__result = *--__last;
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type __n;
   for (__n = __last - __first; __n > 0; --__n)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
 static _Tp*
 __copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result)
 {

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

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

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
   return __result - _Num;
 }
    };

  template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::value_type _ValueType1;
      typedef typename iterator_traits<_BI2>::value_type _ValueType2;
      typedef typename iterator_traits<_BI1>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueType1)
        && __is_pointer<_BI1>::__value
        && __is_pointer<_BI2>::__value
        && __are_same<_ValueType1, _ValueType2>::__value);

      return std::__copy_move_backward<_IsMove, __simple,
           _Category>::__copy_move_b(__first,
         __last,
         __result);
    }

  template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      return _BI2(std::__copy_move_backward_a<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }
# 620 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return (std::__copy_move_backward_a2<__is_move_iterator<_BI1>::__value>
       (std::__miter_base(__first), std::__miter_base(__last),
        __result));
    }
# 656 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a2<true>(std::__miter_base(__first),
      std::__miter_base(__last),
      __result);
    }






  template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      for (; __first != __last; ++__first)
 *__first = __value;
    }

  template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
 *__first = __tmp;
    }


  template<typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }
# 722 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(std::__niter_base(__first), std::__niter_base(__last),
      __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, (void) ++__first)
 *__first = __value;
      return __first;
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, (void) ++__first)
 *__first = __tmp;
      return __first;
    }

  template<typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, _Tp*>::__type
    __fill_n_a(_Tp* __first, _Size __n, const _Tp& __c)
    {
      std::__fill_a(__first, __first + __n, __c);
      return __first + __n;
    }
# 782 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     

      return _OI(std::__fill_n_a(std::__niter_base(__first), __n, __value));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>
 static bool
 equal(_II1 __first1, _II1 __last1, _II2 __first2)
 {
   for (; __first1 != __last1; ++__first1, (void) ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };

  template<>
    struct __equal<true>
    {
      template<typename _Tp>
 static bool
 equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
 {
   if (const size_t __len = (__last1 - __first1))
     return !__builtin_memcmp(__first1, __first2, sizeof(_Tp) * __len);
   return true;
 }
    };

  template<typename _II1, typename _II2>
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple = ((__is_integer<_ValueType1>::__value
         || __is_pointer<_ValueType1>::__value)
        && __is_pointer<_II1>::__value
        && __is_pointer<_II2>::__value
        && __are_same<_ValueType1, _ValueType2>::__value);

      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>
 static _II1
 __newlast1(_II1, _II1 __last1, _II2, _II2)
 { return __last1; }

      template<typename _II>
 static bool
 __cnd2(_II __first, _II __last)
 { return __first != __last; }
    };

  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>
 static _RAI1
 __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
 {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }

      template<typename _RAI>
 static bool
 __cnd2(_RAI, _RAI)
 { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2,
       _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>
 static bool __lc(_II1, _II1, _II2, _II2);
    };

  template<bool _BoolType>
    template<typename _II1, typename _II2>
      bool
      __lexicographical_compare<_BoolType>::
      __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
      {
 return std::__lexicographical_compare_impl(__first1, __last1,
         __first2, __last2,
     __gnu_cxx::__ops::__iter_less_iter());
      }

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>
 static bool
 __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = __builtin_memcmp(__first1, __first2, __len))
       return __result < 0;
   return __len1 < __len2;
 }
    };

  template<typename _II1, typename _II2>
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
 (__is_byte<_ValueType1>::__value && __is_byte<_ValueType2>::__value
  && !__gnu_cxx::__numeric_traits<_ValueType1>::__is_signed
  && !__gnu_cxx::__numeric_traits<_ValueType2>::__is_signed
  && __is_pointer<_II1>::__value
  && __is_pointer<_II2>::__value);

      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 982 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

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



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

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

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

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

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

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


# 1037 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(std::__niter_base(__first1),
         std::__niter_base(__last1),
         std::__niter_base(__first2));
    }
# 1069 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 1156 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
    }
# 1188 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
    }
# 1219 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _II1, typename _II2>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(std::__niter_base(__first1),
      std::__niter_base(__last1),
      std::__niter_base(__first2),
      std::__niter_base(__last2));
    }
# 1255 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

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

  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1298 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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());
    }
# 1331 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
    }
# 1378 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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());
    }
# 1413 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

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




}
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 2 3





namespace __gnu_cxx
{

# 61 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 3
  template<typename _CharT>
    struct _Char_types
    {
      typedef unsigned long int_type;
      typedef std::streampos pos_type;
      typedef std::streamoff off_type;
      typedef std::mbstate_t state_type;
    };
# 86 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 3
  template<typename _CharT>
    struct char_traits
    {
      typedef _CharT char_type;
      typedef typename _Char_types<_CharT>::int_type int_type;
      typedef typename _Char_types<_CharT>::pos_type pos_type;
      typedef typename _Char_types<_CharT>::off_type off_type;
      typedef typename _Char_types<_CharT>::state_type state_type;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    move(char_type* __s1, const char_type* __s2, std::size_t __n)
    {
      return static_cast<_CharT*>(__builtin_memmove(__s1, __s2,
          __n * sizeof(char_type)));
    }

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    copy(char_type* __s1, const char_type* __s2, std::size_t __n)
    {

      std::copy(__s2, __s2 + __n, __s1);
      return __s1;
    }

  template<typename _CharT>
    typename char_traits<_CharT>::char_type*
    char_traits<_CharT>::
    assign(char_type* __s, std::size_t __n, char_type __a)
    {

      std::fill_n(__s, __n, __a);
      return __s;
    }


}

namespace std
{

# 268 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 3
  template<class _CharT>
    struct char_traits : public __gnu_cxx::char_traits<_CharT>
    { };



  template<>
    struct char_traits<char>
    {
      typedef char char_type;
      typedef int int_type;
      typedef streampos pos_type;
      typedef streamoff off_type;
      typedef mbstate_t state_type;

      static 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 int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {






 if (__n == 0)
   return 0;
 return __builtin_memcmp(__s1, __s2, __n);
      }

      static size_t
      length(const char_type* __s)
      {




 return __builtin_strlen(__s);
      }

      static const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {






 if (__n == 0)
   return 0;
 return static_cast<const char_type*>(__builtin_memchr(__s, __a, __n));
      }

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memmove(__s1, __s2, __n));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return static_cast<char_type*>(__builtin_memcpy(__s1, __s2, __n));
      }

      static char_type*
      assign(char_type* __s, size_t __n, char_type __a)
      {
 if (__n == 0)
   return __s;
 return static_cast<char_type*>(__builtin_memset(__s, __a, __n));
      }

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



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

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

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

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




  template<>
    struct char_traits<wchar_t>
    {
      typedef wchar_t char_type;
      typedef wint_t int_type;
      typedef streamoff off_type;
      typedef wstreampos pos_type;
      typedef mbstate_t state_type;

      static 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 int
      compare(const char_type* __s1, const char_type* __s2, size_t __n)
      {






 if (__n == 0)
   return 0;
 else
   return wmemcmp(__s1, __s2, __n);
      }

      static size_t
      length(const char_type* __s)
      {





   return wcslen(__s);
      }

      static const char_type*
      find(const char_type* __s, size_t __n, const char_type& __a)
      {






 if (__n == 0)
   return 0;
 else
   return wmemchr(__s, __a, __n);
      }

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

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

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

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

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

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

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

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



}




# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdint" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdint" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdint" 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdint" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stdint.h" 1 3 4
# 9 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stdint.h" 3 4
# 1 "c:\\mingw\\include\\stdint.h" 1 3 4
# 34 "c:\\mingw\\include\\stdint.h" 3 4
       
# 35 "c:\\mingw\\include\\stdint.h" 3
# 54 "c:\\mingw\\include\\stdint.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 55 "c:\\mingw\\include\\stdint.h" 2 3



typedef signed char int8_t;
typedef unsigned char uint8_t;
typedef short int16_t;
typedef unsigned short uint16_t;
typedef int int32_t;
typedef unsigned uint32_t;
typedef long long int64_t;
typedef unsigned long long uint64_t;



typedef signed char int_least8_t;
typedef unsigned char uint_least8_t;
typedef short int_least16_t;
typedef unsigned short uint_least16_t;
typedef int int_least32_t;
typedef unsigned uint_least32_t;
typedef long long int_least64_t;
typedef unsigned long long uint_least64_t;





typedef signed char int_fast8_t;
typedef unsigned char uint_fast8_t;
typedef short int_fast16_t;
typedef unsigned short uint_fast16_t;
typedef int int_fast32_t;
typedef unsigned int uint_fast32_t;
typedef long long int_fast64_t;
typedef unsigned long long uint_fast64_t;
# 118 "c:\\mingw\\include\\stdint.h" 3
 typedef unsigned int __uintptr_t;

typedef __uintptr_t uintptr_t;







typedef long long intmax_t;
typedef unsigned long long uintmax_t;
# 10 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stdint.h" 2 3 4
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdint" 2 3




namespace std
{
  using ::int8_t;
  using ::int16_t;
  using ::int32_t;
  using ::int64_t;

  using ::int_fast8_t;
  using ::int_fast16_t;
  using ::int_fast32_t;
  using ::int_fast64_t;

  using ::int_least8_t;
  using ::int_least16_t;
  using ::int_least32_t;
  using ::int_least64_t;

  using ::intmax_t;
  using ::intptr_t;

  using ::uint8_t;
  using ::uint16_t;
  using ::uint32_t;
  using ::uint64_t;

  using ::uint_fast8_t;
  using ::uint_fast16_t;
  using ::uint_fast32_t;
  using ::uint_fast64_t;

  using ::uint_least8_t;
  using ::uint_least16_t;
  using ::uint_least32_t;
  using ::uint_least64_t;

  using ::uintmax_t;
  using ::uintptr_t;
}
# 502 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\char_traits.h" 2 3

namespace std
{


  template<>
    struct char_traits<char16_t>
    {
      typedef char16_t char_type;
      typedef uint_least16_t int_type;
      typedef streamoff off_type;
      typedef u16streampos pos_type;
      typedef mbstate_t state_type;

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

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

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

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

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

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

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

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

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

  template<>
    struct char_traits<char32_t>
    {
      typedef char32_t char_type;
      typedef uint_least32_t int_type;
      typedef streamoff off_type;
      typedef u32streampos pos_type;
      typedef mbstate_t state_type;

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

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

      static char_type*
      move(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memmove(__s1, __s2, __n * sizeof(char_type))));
      }

      static char_type*
      copy(char_type* __s1, const char_type* __s2, size_t __n)
      {
 if (__n == 0)
   return __s1;
 return (static_cast<char_type*>
  (__builtin_memcpy(__s1, __s2, __n * sizeof(char_type))));
      }

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

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

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

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

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

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


}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++locale.h" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++locale.h" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++locale.h" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\clocale" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\clocale" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\clocale" 3


# 1 "c:\\mingw\\include\\locale.h" 1 3
# 34 "c:\\mingw\\include\\locale.h" 3
       
# 35 "c:\\mingw\\include\\locale.h" 3
# 97 "c:\\mingw\\include\\locale.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 98 "c:\\mingw\\include\\locale.h" 2 3

struct lconv
{
# 110 "c:\\mingw\\include\\locale.h" 3
  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;
};






extern "C" {






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *setlocale (int, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) struct lconv *localeconv (void);







 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_wsetlocale (int, const wchar_t *);
# 178 "c:\\mingw\\include\\locale.h" 3
}
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\clocale" 2 3
# 51 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\clocale" 3
namespace std
{
  using ::lconv;
  using ::setlocale;
  using ::localeconv;
}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++locale.h" 2 3



namespace std
{


  typedef int* __c_locale;





  inline int
  __convert_from_v(const __c_locale&, char* __out,
     const int __size __attribute__((__unused__)),
     const char* __fmt, ...)
  {
    char* __old = std::setlocale(4, 0);
    char* __sav = 0;
    if (__builtin_strcmp(__old, "C"))
      {
 const size_t __len = __builtin_strlen(__old) + 1;
 __sav = new char[__len];
 __builtin_memcpy(__sav, __old, __len);
 std::setlocale(4, "C");
      }

    __builtin_va_list __args;
    __builtin_va_start(__args, __fmt);


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




    __builtin_va_end(__args);

    if (__sav)
      {
 std::setlocale(4, __sav);
 delete [] __sav;
      }
    return __ret;
  }


}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 3


# 1 "c:\\mingw\\include\\ctype.h" 1 3
# 33 "c:\\mingw\\include\\ctype.h" 3
       
# 34 "c:\\mingw\\include\\ctype.h" 3
# 59 "c:\\mingw\\include\\ctype.h" 3
# 1 "c:\\mingw\\include\\wctype.h" 1 3
# 60 "c:\\mingw\\include\\ctype.h" 2 3
# 68 "c:\\mingw\\include\\ctype.h" 3
extern "C" {

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isalnum(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isalpha(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int iscntrl(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isdigit(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isgraph(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int islower(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isleadbyte (int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isprint(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int ispunct(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isspace(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isupper(int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isxdigit(int);


__attribute__((__cdecl__)) __attribute__((__nothrow__)) int isblank (int);



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _isctype (int, int);






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int tolower (int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int toupper (int);
# 108 "c:\\mingw\\include\\ctype.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _tolower (int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _toupper (int);
# 119 "c:\\mingw\\include\\ctype.h" 3
    extern __attribute__((__dllimport__)) int __mb_cur_max;
# 140 "c:\\mingw\\include\\ctype.h" 3
  extern __attribute__((__dllimport__)) unsigned short _ctype[];



  extern __attribute__((__dllimport__)) unsigned short *_pctype;
# 240 "c:\\mingw\\include\\ctype.h" 3
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int isleadbyte (int c)
{ return (_pctype[(unsigned char)(c)] & 0x8000); }


__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __isascii (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __toascii (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __iscsymf (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __iscsym (int);
# 267 "c:\\mingw\\include\\ctype.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int isascii (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int toascii (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int iscsymf (int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int iscsym (int);




}
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 2 3
# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
}
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 2 3

namespace std
{

# 55 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\localefwd.h" 3
  class locale;

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

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


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

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

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

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

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

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

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

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

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

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

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


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


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

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


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

  template<> class ctype<wchar_t>;

  template<typename _CharT>
    class ctype_byname;


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

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

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



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

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

namespace __cxx11 {

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


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


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


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


}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr.h" 1 3
# 30 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr.h" 3
#pragma GCC visibility push(default)
# 148 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 1 3
# 69 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 3
# 1 "c:\\mingw\\include\\errno.h" 1 3
# 103 "c:\\mingw\\include\\errno.h" 3
extern "C" {
# 112 "c:\\mingw\\include\\errno.h" 3
 int* __attribute__((__cdecl__)) __attribute__((__nothrow__)) _errno(void);



}
# 70 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 2 3
# 339 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 3
extern "C" {


typedef unsigned long __gthread_key_t;

typedef struct {
  int done;
  long started;
} __gthread_once_t;

typedef struct {
  long counter;
  void *sema;
} __gthread_mutex_t;

typedef struct {
  long counter;
  long depth;
  unsigned long owner;
  void *sema;
} __gthread_recursive_mutex_t;
# 373 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 3
extern int _CRT_MT;
extern int __mingwthr_key_dtor (unsigned long, void (*) (void *));
# 400 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 3
static inline int
__gthread_active_p (void)
{

  return _CRT_MT;



}







extern int __gthr_win32_once (__gthread_once_t *, void (*) (void));
extern int __gthr_win32_key_create (__gthread_key_t *, void (*) (void*));
extern int __gthr_win32_key_delete (__gthread_key_t);
extern void * __gthr_win32_getspecific (__gthread_key_t);
extern int __gthr_win32_setspecific (__gthread_key_t, const void *);
extern void __gthr_win32_mutex_init_function (__gthread_mutex_t *);
extern int __gthr_win32_mutex_lock (__gthread_mutex_t *);
extern int __gthr_win32_mutex_trylock (__gthread_mutex_t *);
extern int __gthr_win32_mutex_unlock (__gthread_mutex_t *);
extern void
  __gthr_win32_recursive_mutex_init_function (__gthread_recursive_mutex_t *);
extern int __gthr_win32_recursive_mutex_lock (__gthread_recursive_mutex_t *);
extern int
  __gthr_win32_recursive_mutex_trylock (__gthread_recursive_mutex_t *);
extern int __gthr_win32_recursive_mutex_unlock (__gthread_recursive_mutex_t *);
extern void __gthr_win32_mutex_destroy (__gthread_mutex_t *);
extern int
  __gthr_win32_recursive_mutex_destroy (__gthread_recursive_mutex_t *);

static inline int
__gthread_once (__gthread_once_t *__once, void (*__func) (void))
{
  if (__gthread_active_p ())
    return __gthr_win32_once (__once, __func);
  else
    return -1;
}

static inline int
__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *))
{
  return __gthr_win32_key_create (__key, __dtor);
}

static inline int
__gthread_key_delete (__gthread_key_t __key)
{
  return __gthr_win32_key_delete (__key);
}

static inline void *
__gthread_getspecific (__gthread_key_t __key)
{
  return __gthr_win32_getspecific (__key);
}

static inline int
__gthread_setspecific (__gthread_key_t __key, const void *__ptr)
{
  return __gthr_win32_setspecific (__key, __ptr);
}

static inline void
__gthread_mutex_init_function (__gthread_mutex_t *__mutex)
{
  __gthr_win32_mutex_init_function (__mutex);
}

static inline void
__gthread_mutex_destroy (__gthread_mutex_t *__mutex)
{
  __gthr_win32_mutex_destroy (__mutex);
}

static inline int
__gthread_mutex_lock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_mutex_lock (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_trylock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_mutex_trylock (__mutex);
  else
    return 0;
}

static inline int
__gthread_mutex_unlock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_mutex_unlock (__mutex);
  else
    return 0;
}

static inline void
__gthread_recursive_mutex_init_function (__gthread_recursive_mutex_t *__mutex)
{
   __gthr_win32_recursive_mutex_init_function (__mutex);
}

static inline int
__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_recursive_mutex_lock (__mutex);
  else
    return 0;
}

static inline int
__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_recursive_mutex_trylock (__mutex);
  else
    return 0;
}

static inline int
__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthr_win32_recursive_mutex_unlock (__mutex);
  else
    return 0;
}

static inline int
__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex)
{
  return __gthr_win32_recursive_mutex_destroy (__mutex);
}
# 782 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr-default.h" 3
}
# 149 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\gthr.h" 2 3


#pragma GCC visibility pop
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\atomic_word.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\atomic_word.h" 3
typedef int _Atomic_word;
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 2 3

namespace __gnu_cxx
{







  static inline _Atomic_word
  __exchange_and_add(volatile _Atomic_word* __mem, int __val)
  { return __atomic_fetch_add(__mem, __val, 4); }

  static inline void
  __atomic_add(volatile _Atomic_word* __mem, int __val)
  { __atomic_fetch_add(__mem, __val, 4); }
# 64 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\atomicity.h" 3
  static inline _Atomic_word
  __exchange_and_add_single(_Atomic_word* __mem, int __val)
  {
    _Atomic_word __result = *__mem;
    *__mem += __val;
    return __result;
  }

  static inline void
  __atomic_add_single(_Atomic_word* __mem, int __val)
  { *__mem += __val; }

  static inline _Atomic_word
  __attribute__ ((__unused__))
  __exchange_and_add_dispatch(_Atomic_word* __mem, int __val)
  {

    if (__gthread_active_p())
      return __exchange_and_add(__mem, __val);
    else
      return __exchange_and_add_single(__mem, __val);



  }

  static inline void
  __attribute__ ((__unused__))
  __atomic_add_dispatch(_Atomic_word* __mem, int __val)
  {

    if (__gthread_active_p())
      __atomic_add(__mem, __val);
    else
      __atomic_add_single(__mem, __val);



  }


}
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 3




# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\allocator.h" 1 3
# 46 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\allocator.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++allocator.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++allocator.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\new_allocator.h" 1 3
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\new_allocator.h" 3
namespace __gnu_cxx
{


  using std::size_t;
  using std::ptrdiff_t;
# 57 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\new_allocator.h" 3
  template<typename _Tp>
    class new_allocator
    {
    public:
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef const _Tp* const_pointer;
      typedef _Tp& reference;
      typedef const _Tp& const_reference;
      typedef _Tp value_type;

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




      typedef std::true_type propagate_on_container_move_assignment;


      new_allocator() noexcept { }

      new_allocator(const new_allocator&) noexcept { }

      template<typename _Tp1>
 new_allocator(const new_allocator<_Tp1>&) noexcept { }

      ~new_allocator() noexcept { }

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

      const_pointer
      address(const_reference __x) const noexcept
      { return std::__addressof(__x); }



      pointer
      allocate(size_type __n, const void* = static_cast<const void*>(0))
      {
 if (__n > this->max_size())
   std::__throw_bad_alloc();
# 111 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\new_allocator.h" 3
 return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
      }


      void
      deallocate(pointer __p, size_type)
      {







 ::operator delete(__p);
      }

      size_type
      max_size() const noexcept
      { return size_t(-1) / sizeof(_Tp); }


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

      template<typename _Up>
 void
 destroy(_Up* __p) { __p->~_Up(); }
# 151 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\new_allocator.h" 3
    };

  template<typename _Tp>
    inline bool
    operator==(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
    { return true; }

  template<typename _Tp>
    inline bool
    operator!=(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
    { return false; }


}
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++allocator.h" 2 3


namespace std
{
# 47 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\c++allocator.h" 3
  template<typename _Tp>
    using __allocator_base = __gnu_cxx::new_allocator<_Tp>;
}
# 47 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\allocator.h" 2 3
# 57 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\allocator.h" 3
namespace std
{








  template<>
    class allocator<void>
    {
    public:
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef void* pointer;
      typedef const void* const_pointer;
      typedef void value_type;

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




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;

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

      template<typename _Up>
 void
 destroy(_Up* __p) { __p->~_Up(); }

    };
# 107 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\allocator.h" 3
  template<typename _Tp>
    class allocator : public __allocator_base<_Tp>
    {
   public:
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef const _Tp* const_pointer;
      typedef _Tp& reference;
      typedef const _Tp& const_reference;
      typedef _Tp value_type;

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




      typedef true_type propagate_on_container_move_assignment;

      typedef true_type is_always_equal;


      allocator() throw() { }

      allocator(const allocator& __a) throw()
      : __allocator_base<_Tp>(__a) { }

      template<typename _Tp1>
 allocator(const allocator<_Tp1>&) throw() { }

      ~allocator() throw() { }


    };

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

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

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

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



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

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

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






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






  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_swap
    { static void _S_do_it(_Alloc&, _Alloc&) noexcept { } };

  template<typename _Alloc>
    struct __alloc_swap<_Alloc, false>
    {
      static void
      _S_do_it(_Alloc& __one, _Alloc& __two) noexcept
      {

 if (__one != __two)
   swap(__one, __two);
      }
    };


  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_neq
    {
      static bool
      _S_do_it(const _Alloc&, const _Alloc&)
      { return false; }
    };

  template<typename _Alloc>
    struct __alloc_neq<_Alloc, false>
    {
      static bool
      _S_do_it(const _Alloc& __one, const _Alloc& __two)
      { return __one != __two; }
    };


  template<typename _Tp, bool
    = __or_<is_copy_constructible<typename _Tp::value_type>,
            is_nothrow_move_constructible<typename _Tp::value_type>>::value>
    struct __shrink_to_fit_aux
    { static bool _S_do_it(_Tp&) noexcept { return false; } };

  template<typename _Tp>
    struct __shrink_to_fit_aux<_Tp, true>
    {
      static bool
      _S_do_it(_Tp& __c) noexcept
      {

 try
   {
     _Tp(__make_move_if_noexcept_iterator(__c.begin()),
  __make_move_if_noexcept_iterator(__c.end()),
  __c.get_allocator()).swap(__c);
     return true;
   }
 catch(...)
   { return false; }



      }
    };



}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream_insert.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream_insert.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream_insert.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_forced.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\cxxabi_forced.h" 3
       
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream_insert.h" 2 3

namespace std
{


  template<typename _CharT, typename _Traits>
    inline void
    __ostream_write(basic_ostream<_CharT, _Traits>& __out,
      const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const streamsize __put = __out.rdbuf()->sputn(__s, __n);
      if (__put != __n)
 __out.setstate(__ios_base::badbit);
    }

  template<typename _CharT, typename _Traits>
    inline void
    __ostream_fill(basic_ostream<_CharT, _Traits>& __out, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      const _CharT __c = __out.fill();
      for (; __n > 0; --__n)
 {
   const typename _Traits::int_type __put = __out.rdbuf()->sputc(__c);
   if (_Traits::eq_int_type(__put, _Traits::eof()))
     {
       __out.setstate(__ios_base::badbit);
       break;
     }
 }
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    __ostream_insert(basic_ostream<_CharT, _Traits>& __out,
       const _CharT* __s, streamsize __n)
    {
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef typename __ostream_type::ios_base __ios_base;

      typename __ostream_type::sentry __cerb(__out);
      if (__cerb)
 {
   try
     {
       const streamsize __w = __out.width();
       if (__w > __n)
  {
    const bool __left = ((__out.flags()
     & __ios_base::adjustfield)
           == __ios_base::left);
    if (!__left)
      __ostream_fill(__out, __w - __n);
    if (__out.good())
      __ostream_write(__out, __s, __n);
    if (__left && __out.good())
      __ostream_fill(__out, __w - __n);
  }
       else
  __ostream_write(__out, __s, __n);
       __out.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __out._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     { __out._M_setstate(__ios_base::badbit); }
 }
      return __out;
    }




  extern template ostream& __ostream_insert(ostream&, const char*, streamsize);


  extern template wostream& __ostream_insert(wostream&, const wchar_t*,
          streamsize);




}
# 45 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3



# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 1 3
# 63 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
namespace std
{

# 104 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Arg, typename _Result>
    struct unary_function
    {

      typedef _Arg argument_type;


      typedef _Result result_type;
    };




  template<typename _Arg1, typename _Arg2, typename _Result>
    struct binary_function
    {

      typedef _Arg1 first_argument_type;


      typedef _Arg2 second_argument_type;


      typedef _Result result_type;
    };
# 144 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  struct __is_transparent;

  template<typename _Tp = void>
    struct plus;

  template<typename _Tp = void>
    struct minus;

  template<typename _Tp = void>
    struct multiplies;

  template<typename _Tp = void>
    struct divides;

  template<typename _Tp = void>
    struct modulus;

  template<typename _Tp = void>
    struct negate;



  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };


  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };


  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };


  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };


  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };


  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };





  template<>
    struct plus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) + std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct minus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) - std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct multiplies<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) * std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct divides<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) / std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct modulus<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) % std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct negate<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(-std::forward<_Tp>(__t)))
 -> decltype(-std::forward<_Tp>(__t))
 { return -std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 330 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Tp = void>
    struct equal_to;

  template<typename _Tp = void>
    struct not_equal_to;

  template<typename _Tp = void>
    struct greater;

  template<typename _Tp = void>
    struct less;

  template<typename _Tp = void>
    struct greater_equal;

  template<typename _Tp = void>
    struct less_equal;



  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x == __y; }
    };


  template<typename _Tp>
    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };


  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };


  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };


  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };


  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };


  template<typename _Tp>
    struct greater<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x > __y))
   return __x > __y;
 return (unsigned int)__x > (unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x < __y))
   return __x < __y;
 return (unsigned int)__x < (unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct greater_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x >= __y))
   return __x >= __y;
 return (unsigned int)__x >= (unsigned int)__y;
      }
    };


  template<typename _Tp>
    struct less_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      constexpr bool
      operator()(_Tp* __x, _Tp* __y) const noexcept
      {
 if (__builtin_constant_p (__x <= __y))
   return __x <= __y;
 return (unsigned int)__x <= (unsigned int)__y;
      }
    };



  template<>
    struct equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) == std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct not_equal_to<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) != std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct greater<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) > std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) < std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct greater_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return greater_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return greater_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator>=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator>=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };


  template<>
    struct less_equal<void>
    {
      template <typename _Tp, typename _Up>
 constexpr auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))
 {
   return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
   __ptr_cmp<_Tp, _Up>{});
 }

      template<typename _Tp, typename _Up>
 constexpr bool
 operator()(_Tp* __t, _Up* __u) const noexcept
 { return less_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

      typedef __is_transparent is_transparent;

    private:
      template <typename _Tp, typename _Up>
 static constexpr decltype(auto)
 _S_cmp(_Tp&& __t, _Up&& __u, false_type)
 { return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); }

      template <typename _Tp, typename _Up>
 static constexpr bool
 _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
 {
   return less_equal<const volatile void*>{}(
       static_cast<const volatile void*>(std::forward<_Tp>(__t)),
       static_cast<const volatile void*>(std::forward<_Up>(__u)));
 }


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded2 : true_type { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded2<_Tp, _Up, __void_t<
   decltype(std::declval<_Tp>().operator<=(std::declval<_Up>()))>>
 : false_type { };


      template<typename _Tp, typename _Up, typename = void>
 struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };


      template<typename _Tp, typename _Up>
 struct __not_overloaded<_Tp, _Up, __void_t<
   decltype(operator<=(std::declval<_Tp>(), std::declval<_Up>()))>>
 : false_type { };

      template<typename _Tp, typename _Up>
 using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
       is_convertible<_Tp, const volatile void*>,
       is_convertible<_Up, const volatile void*>>;
    };
# 750 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Tp = void>
    struct logical_and;

  template<typename _Tp = void>
    struct logical_or;

  template<typename _Tp = void>
    struct logical_not;



  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };


  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };


  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      constexpr
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };



  template<>
    struct logical_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) && std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) || std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) || std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) || std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };


  template<>
    struct logical_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(!std::forward<_Tp>(__t)))
 -> decltype(!std::forward<_Tp>(__t))
 { return !std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };




  template<typename _Tp = void>
    struct bit_and;

  template<typename _Tp = void>
    struct bit_or;

  template<typename _Tp = void>
    struct bit_xor;

  template<typename _Tp = void>
    struct bit_not;




  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };

  template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };

  template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      constexpr
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };

  template<typename _Tp>
    struct bit_not : public unary_function<_Tp, _Tp>
    {
    constexpr
      _Tp
      operator()(const _Tp& __x) const
      { return ~__x; }
    };


  template <>
    struct bit_and<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) & std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_or<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) | std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) | std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) | std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_xor<void>
    {
      template <typename _Tp, typename _Up>
 constexpr
 auto
 operator()(_Tp&& __t, _Up&& __u) const
 noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)))
 -> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))
 { return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); }

      typedef __is_transparent is_transparent;
    };

  template <>
    struct bit_not<void>
    {
      template <typename _Tp>
 constexpr
 auto
 operator()(_Tp&& __t) const
 noexcept(noexcept(~std::forward<_Tp>(__t)))
 -> decltype(~std::forward<_Tp>(__t))
 { return ~std::forward<_Tp>(__t); }

      typedef __is_transparent is_transparent;
    };
# 978 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };


  template<typename _Predicate>
    constexpr
    inline unary_negate<_Predicate>
    not1(const _Predicate& __pred)
    { return unary_negate<_Predicate>(__pred); }


  template<typename _Predicate>
    class binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
        typename _Predicate::second_argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

    public:
      constexpr
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }

      constexpr
      bool
      operator()(const typename _Predicate::first_argument_type& __x,
   const typename _Predicate::second_argument_type& __y) const
      { return !_M_pred(__x, __y); }
    };


  template<typename _Predicate>
    constexpr
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
# 1055 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Arg, typename _Result>
    class pointer_to_unary_function : public unary_function<_Arg, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg);

    public:
      pointer_to_unary_function() { }

      explicit
      pointer_to_unary_function(_Result (*__x)(_Arg))
      : _M_ptr(__x) { }

      _Result
      operator()(_Arg __x) const
      { return _M_ptr(__x); }
    };


  template<typename _Arg, typename _Result>
    inline pointer_to_unary_function<_Arg, _Result>
    ptr_fun(_Result (*__x)(_Arg))
    { return pointer_to_unary_function<_Arg, _Result>(__x); }


  template<typename _Arg1, typename _Arg2, typename _Result>
    class pointer_to_binary_function
    : public binary_function<_Arg1, _Arg2, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg1, _Arg2);

    public:
      pointer_to_binary_function() { }

      explicit
      pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2))
      : _M_ptr(__x) { }

      _Result
      operator()(_Arg1 __x, _Arg2 __y) const
      { return _M_ptr(__x, __y); }
    };


  template<typename _Arg1, typename _Arg2, typename _Result>
    inline pointer_to_binary_function<_Arg1, _Arg2, _Result>
    ptr_fun(_Result (*__x)(_Arg1, _Arg2))
    { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); }


  template<typename _Tp>
    struct _Identity
    : public unary_function<_Tp, _Tp>
    {
      _Tp&
      operator()(_Tp& __x) const
      { return __x; }

      const _Tp&
      operator()(const _Tp& __x) const
      { return __x; }
    };


  template<typename _Tp> struct _Identity<const _Tp> : _Identity<_Tp> { };

  template<typename _Pair>
    struct _Select1st
    : public unary_function<_Pair, typename _Pair::first_type>
    {
      typename _Pair::first_type&
      operator()(_Pair& __x) const
      { return __x.first; }

      const typename _Pair::first_type&
      operator()(const _Pair& __x) const
      { return __x.first; }


      template<typename _Pair2>
        typename _Pair2::first_type&
        operator()(_Pair2& __x) const
        { return __x.first; }

      template<typename _Pair2>
        const typename _Pair2::first_type&
        operator()(const _Pair2& __x) const
        { return __x.first; }

    };

  template<typename _Pair>
    struct _Select2nd
    : public unary_function<_Pair, typename _Pair::second_type>
    {
      typename _Pair::second_type&
      operator()(_Pair& __x) const
      { return __x.second; }

      const typename _Pair::second_type&
      operator()(const _Pair& __x) const
      { return __x.second; }
    };
# 1178 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 3
  template<typename _Ret, typename _Tp>
    class mem_fun_t : public unary_function<_Tp*, _Ret>
    {
    public:
      explicit
      mem_fun_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp* __p) const
      { return (__p->*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)();
    };



  template<typename _Ret, typename _Tp>
    class const_mem_fun_t : public unary_function<const _Tp*, _Ret>
    {
    public:
      explicit
      const_mem_fun_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp* __p) const
      { return (__p->*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)() const;
    };



  template<typename _Ret, typename _Tp>
    class mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      mem_fun_ref_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp& __r) const
      { return (__r.*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)();
  };



  template<typename _Ret, typename _Tp>
    class const_mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp& __r) const
      { return (__r.*_M_f)(); }

    private:
      _Ret (_Tp::*_M_f)() const;
    };



  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_t : public binary_function<_Tp*, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg);
    };



  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_t : public binary_function<const _Tp*, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };



  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

      _Ret
      operator()(_Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg);
    };



  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

      _Ret
      operator()(const _Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };



  template<typename _Ret, typename _Tp>
    inline mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)())
    { return mem_fun_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    inline const_mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    inline mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)())
    { return mem_fun_ref_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp>
    inline const_mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_ref_t<_Ret, _Tp>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }

  template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }




}


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\backward\\binders.h" 1 3
# 60 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\backward\\binders.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

namespace std
{

# 107 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\backward\\binders.h" 3
  template<typename _Operation>
    class binder1st
    : public unary_function<typename _Operation::second_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::first_argument_type value;

    public:
      binder1st(const _Operation& __x,
  const typename _Operation::first_argument_type& __y)
      : op(__x), value(__y) { }

      typename _Operation::result_type
      operator()(const typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }



      typename _Operation::result_type
      operator()(typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }
    } __attribute__ ((__deprecated__));


  template<typename _Operation, typename _Tp>
    inline binder1st<_Operation>
    bind1st(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::first_argument_type _Arg1_type;
      return binder1st<_Operation>(__fn, _Arg1_type(__x));
    }


  template<typename _Operation>
    class binder2nd
    : public unary_function<typename _Operation::first_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::second_argument_type value;

    public:
      binder2nd(const _Operation& __x,
  const typename _Operation::second_argument_type& __y)
      : op(__x), value(__y) { }

      typename _Operation::result_type
      operator()(const typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }



      typename _Operation::result_type
      operator()(typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }
    } __attribute__ ((__deprecated__));


  template<typename _Operation, typename _Tp>
    inline binder2nd<_Operation>
    bind2nd(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::second_argument_type _Arg2_type;
      return binder2nd<_Operation>(__fn, _Arg2_type(__x));
    }



}

#pragma GCC diagnostic pop
# 1369 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\stl_function.h" 2 3
# 49 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\range_access.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\range_access.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\range_access.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\initializer_list" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\initializer_list" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\initializer_list" 3





#pragma GCC visibility push(default)



namespace std
{

  template<class _E>
    class initializer_list
    {
    public:
      typedef _E value_type;
      typedef const _E& reference;
      typedef const _E& const_reference;
      typedef size_t size_type;
      typedef const _E* iterator;
      typedef const _E* const_iterator;

    private:
      iterator _M_array;
      size_type _M_len;


      constexpr initializer_list(const_iterator __a, size_type __l)
      : _M_array(__a), _M_len(__l) { }

    public:
      constexpr initializer_list() noexcept
      : _M_array(0), _M_len(0) { }


      constexpr size_type
      size() const noexcept { return _M_len; }


      constexpr const_iterator
      begin() const noexcept { return _M_array; }


      constexpr const_iterator
      end() const noexcept { return begin() + size(); }
    };






  template<class _Tp>
    constexpr const _Tp*
    begin(initializer_list<_Tp> __ils) noexcept
    { return __ils.begin(); }






  template<class _Tp>
    constexpr const _Tp*
    end(initializer_list<_Tp> __ils) noexcept
    { return __ils.end(); }
}

#pragma GCC visibility pop
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\range_access.h" 2 3
namespace std
{







  template<typename _Container>
    inline auto
    begin(_Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline auto
    begin(const _Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline auto
    end(_Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }






  template<typename _Container>
    inline auto
    end(const _Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }





  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    begin(_Tp (&__arr)[_Nm])
    { return __arr; }






  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    end(_Tp (&__arr)[_Nm])
    { return __arr + _Nm; }



  template<typename _Tp> class valarray;

  template<typename _Tp> _Tp* begin(valarray<_Tp>&);
  template<typename _Tp> const _Tp* begin(const valarray<_Tp>&);
  template<typename _Tp> _Tp* end(valarray<_Tp>&);
  template<typename _Tp> const _Tp* end(const valarray<_Tp>&);






  template<typename _Container>
    inline constexpr auto
    cbegin(const _Container& __cont) noexcept(noexcept(std::begin(__cont)))
      -> decltype(std::begin(__cont))
    { return std::begin(__cont); }






  template<typename _Container>
    inline constexpr auto
    cend(const _Container& __cont) noexcept(noexcept(std::end(__cont)))
      -> decltype(std::end(__cont))
    { return std::end(__cont); }






  template<typename _Container>
    inline auto
    rbegin(_Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline auto
    rbegin(const _Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline auto
    rend(_Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Container>
    inline auto
    rend(const _Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Tp, size_t _Nm>
    inline reverse_iterator<_Tp*>
    rbegin(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr + _Nm); }






  template<typename _Tp, size_t _Nm>
    inline reverse_iterator<_Tp*>
    rend(_Tp (&__arr)[_Nm])
    { return reverse_iterator<_Tp*>(__arr); }






  template<typename _Tp>
    inline reverse_iterator<const _Tp*>
    rbegin(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.end()); }






  template<typename _Tp>
    inline reverse_iterator<const _Tp*>
    rend(initializer_list<_Tp> __il)
    { return reverse_iterator<const _Tp*>(__il.begin()); }






  template<typename _Container>
    inline auto
    crbegin(const _Container& __cont) -> decltype(std::rbegin(__cont))
    { return std::rbegin(__cont); }






  template<typename _Container>
    inline auto
    crend(const _Container& __cont) -> decltype(std::rend(__cont))
    { return std::rend(__cont); }
# 323 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\range_access.h" 3

}
# 52 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3


# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\alloc_traits.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\alloc_traits.h" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\alloc_traits.h" 3



# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 1 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
namespace std
{


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

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

  protected:
    template<typename _Tp>
      using __pointer = typename _Tp::pointer;
    template<typename _Tp>
      using __c_pointer = typename _Tp::const_pointer;
    template<typename _Tp>
      using __v_pointer = typename _Tp::void_pointer;
    template<typename _Tp>
      using __cv_pointer = typename _Tp::const_void_pointer;
    template<typename _Tp>
      using __pocca = typename _Tp::propagate_on_container_copy_assignment;
    template<typename _Tp>
      using __pocma = typename _Tp::propagate_on_container_move_assignment;
    template<typename _Tp>
      using __pocs = typename _Tp::propagate_on_container_swap;
    template<typename _Tp>
      using __equal = typename _Tp::is_always_equal;
  };

  template<typename _Alloc, typename _Up>
    using __alloc_rebind
      = typename __allocator_traits_base::template __rebind<_Alloc, _Up>::type;





  template<typename _Alloc>
    struct allocator_traits : __allocator_traits_base
    {

      typedef _Alloc allocator_type;

      typedef typename _Alloc::value_type value_type;






      using pointer = __detected_or_t<value_type*, __pointer, _Alloc>;

    private:

      template<template<typename> class _Func, typename _Tp, typename = void>
 struct _Ptr
 {
   using type = typename pointer_traits<pointer>::template rebind<_Tp>;
 };

      template<template<typename> class _Func, typename _Tp>
 struct _Ptr<_Func, _Tp, __void_t<_Func<_Alloc>>>
 {
   using type = _Func<_Alloc>;
 };


      template<typename _A2, typename _PtrT, typename = void>
 struct _Diff
 { using type = typename pointer_traits<_PtrT>::difference_type; };

      template<typename _A2, typename _PtrT>
 struct _Diff<_A2, _PtrT, __void_t<typename _A2::difference_type>>
 { using type = typename _A2::difference_type; };


      template<typename _A2, typename _DiffT, typename = void>
 struct _Size : make_unsigned<_DiffT> { };

      template<typename _A2, typename _DiffT>
 struct _Size<_A2, _DiffT, __void_t<typename _A2::size_type>>
 { using type = typename _A2::size_type; };

    public:






      using const_pointer = typename _Ptr<__c_pointer, const value_type>::type;







      using void_pointer = typename _Ptr<__v_pointer, void>::type;







      using const_void_pointer = typename _Ptr<__cv_pointer, const void>::type;







      using difference_type = typename _Diff<_Alloc, pointer>::type;







      using size_type = typename _Size<_Alloc, difference_type>::type;







      using propagate_on_container_copy_assignment
 = __detected_or_t<false_type, __pocca, _Alloc>;







      using propagate_on_container_move_assignment
 = __detected_or_t<false_type, __pocma, _Alloc>;







      using propagate_on_container_swap
 = __detected_or_t<false_type, __pocs, _Alloc>;







      using is_always_equal
 = __detected_or_t<typename is_empty<_Alloc>::type, __equal, _Alloc>;

      template<typename _Tp>
 using rebind_alloc = __alloc_rebind<_Alloc, _Tp>;
      template<typename _Tp>
 using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;

    private:
      template<typename _Alloc2>
 static auto
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint, int)
 -> decltype(__a.allocate(__n, __hint))
 { return __a.allocate(__n, __hint); }

      template<typename _Alloc2>
 static pointer
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer, ...)
 { return __a.allocate(__n); }

      template<typename _Tp, typename... _Args>
 struct __construct_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->construct(
    std::declval<_Tp*>(), std::declval<_Args>()...))>
     static true_type __test(int);

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

   using type = decltype(__test<_Alloc>(0));
 };

      template<typename _Tp, typename... _Args>
 using __has_construct
   = typename __construct_helper<_Tp, _Args...>::type;

      template<typename _Tp, typename... _Args>
 static _Require<__has_construct<_Tp, _Args...>>
 _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }

      template<typename _Tp, typename... _Args>
 static
 _Require<__and_<__not_<__has_construct<_Tp, _Args...>>,
          is_constructible<_Tp, _Args...>>>
 _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 { ::new((void*)__p) _Tp(std::forward<_Args>(__args)...); }

      template<typename _Alloc2, typename _Tp>
 static auto
 _S_destroy(_Alloc2& __a, _Tp* __p, int)
 -> decltype(__a.destroy(__p))
 { __a.destroy(__p); }

      template<typename _Alloc2, typename _Tp>
 static void
 _S_destroy(_Alloc2&, _Tp* __p, ...)
 { __p->~_Tp(); }

      template<typename _Alloc2>
 static auto
 _S_max_size(_Alloc2& __a, int)
 -> decltype(__a.max_size())
 { return __a.max_size(); }

      template<typename _Alloc2>
 static size_type
 _S_max_size(_Alloc2&, ...)
 {


   return __gnu_cxx::__numeric_traits<size_type>::__max
     / sizeof(value_type);
 }

      template<typename _Alloc2>
 static auto
 _S_select(_Alloc2& __a, int)
 -> decltype(__a.select_on_container_copy_construction())
 { return __a.select_on_container_copy_construction(); }

      template<typename _Alloc2>
 static _Alloc2
 _S_select(_Alloc2& __a, ...)
 { return __a; }

    public:
# 299 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
# 314 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint, 0); }
# 326 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static void
      deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 341 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      template<typename _Tp, typename... _Args>
 static auto construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 -> decltype(_S_construct(__a, __p, std::forward<_Args>(__args)...))
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
# 354 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      template<typename _Tp>
 static void destroy(_Alloc& __a, _Tp* __p)
 { _S_destroy(__a, __p, 0); }
# 366 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static size_type max_size(const _Alloc& __a) noexcept
      { return _S_max_size(__a, 0); }
# 377 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static _Alloc
      select_on_container_copy_construction(const _Alloc& __rhs)
      { return _S_select(__rhs, 0); }
    };


  template<typename _Tp>
    struct allocator_traits<allocator<_Tp>>
    {

      using allocator_type = allocator<_Tp>;

      using value_type = _Tp;


      using pointer = _Tp*;


      using const_pointer = const _Tp*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;
# 434 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 448 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static pointer
      allocate(allocator_type& __a, size_type __n, const_void_pointer __hint)
      { return __a.allocate(__n, __hint); }
# 460 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 472 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type& __a, _Up* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }
# 484 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\alloc_traits.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type& __a, _Up* __p)
 { __a.destroy(__p); }






      static size_type
      max_size(const allocator_type& __a) noexcept
      { return __a.max_size(); }






      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };


  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc& __one, const _Alloc& __two, true_type)
    { __one = __two; }

  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc&, const _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_copy(_Alloc& __one, const _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_copy_assignment __pocca;
      __do_alloc_on_copy(__one, __two, __pocca());
    }

  template<typename _Alloc>
    inline _Alloc __alloc_on_copy(const _Alloc& __a)
    {
      typedef allocator_traits<_Alloc> __traits;
      return __traits::select_on_container_copy_construction(__a);
    }

  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc& __one, _Alloc& __two, true_type)
    { __one = std::move(__two); }

  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc&, _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_move(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_move_assignment __pocma;
      __do_alloc_on_move(__one, __two, __pocma());
    }

  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc& __one, _Alloc& __two, true_type)
    {
      using std::swap;
      swap(__one, __two);
    }

  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc&, _Alloc&, false_type)
    { }

  template<typename _Alloc>
    inline void __alloc_on_swap(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_swap __pocs;
      __do_alloc_on_swap(__one, __two, __pocs());
    }

  template<typename _Alloc>
    class __is_copy_insertable_impl
    {
      typedef allocator_traits<_Alloc> _Traits;

      template<typename _Up, typename
        = decltype(_Traits::construct(std::declval<_Alloc&>(),
          std::declval<_Up*>(),
          std::declval<const _Up&>()))>
 static true_type
 _M_select(int);

      template<typename _Up>
 static false_type
 _M_select(...);

    public:
      typedef decltype(_M_select<typename _Alloc::value_type>(0)) type;
    };


  template<typename _Alloc>
    struct __is_copy_insertable
    : __is_copy_insertable_impl<_Alloc>::type
    { };


  template<typename _Tp>
    struct __is_copy_insertable<allocator<_Tp>>
    : is_copy_constructible<_Tp>
    { };


  template<typename _Alloc, typename = void>
    struct __is_allocator : false_type { };

  template<typename _Alloc>
    struct __is_allocator<_Alloc,
      __void_t<typename _Alloc::value_type,
        decltype(std::declval<_Alloc&>().allocate(size_t{}))>>
    : true_type { };

  template<typename _Alloc>
    using _RequireAllocator
      = typename enable_if<__is_allocator<_Alloc>::value, _Alloc>::type;


}
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\alloc_traits.h" 2 3




namespace __gnu_cxx
{






template<typename _Alloc, typename = typename _Alloc::value_type>
  struct __alloc_traits

  : std::allocator_traits<_Alloc>

  {
    typedef _Alloc allocator_type;

    typedef std::allocator_traits<_Alloc> _Base_type;
    typedef typename _Base_type::value_type value_type;
    typedef typename _Base_type::pointer pointer;
    typedef typename _Base_type::const_pointer const_pointer;
    typedef typename _Base_type::size_type size_type;
    typedef typename _Base_type::difference_type difference_type;

    typedef value_type& reference;
    typedef const value_type& const_reference;
    using _Base_type::allocate;
    using _Base_type::deallocate;
    using _Base_type::construct;
    using _Base_type::destroy;
    using _Base_type::max_size;

  private:
    template<typename _Ptr>
      using __is_custom_pointer
 = std::__and_<std::is_same<pointer, _Ptr>,
        std::__not_<std::is_pointer<_Ptr>>>;

  public:

    template<typename _Ptr, typename... _Args>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      {
 _Base_type::construct(__a, std::__to_address(__p),
         std::forward<_Args>(__args)...);
      }


    template<typename _Ptr>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      destroy(_Alloc& __a, _Ptr __p)
      { _Base_type::destroy(__a, std::__to_address(__p)); }

    static _Alloc _S_select_on_copy(const _Alloc& __a)
    { return _Base_type::select_on_container_copy_construction(__a); }

    static void _S_on_swap(_Alloc& __a, _Alloc& __b)
    { std::__alloc_on_swap(__a, __b); }

    static constexpr bool _S_propagate_on_copy_assign()
    { return _Base_type::propagate_on_container_copy_assignment::value; }

    static constexpr bool _S_propagate_on_move_assign()
    { return _Base_type::propagate_on_container_move_assignment::value; }

    static constexpr bool _S_propagate_on_swap()
    { return _Base_type::propagate_on_container_swap::value; }

    static constexpr bool _S_always_equal()
    { return _Base_type::is_always_equal::value; }

    static constexpr bool _S_nothrow_move()
    { return _S_propagate_on_move_assign() || _S_always_equal(); }

    template<typename _Tp>
      struct rebind
      { typedef typename _Base_type::template rebind_alloc<_Tp> other; };
# 158 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\alloc_traits.h" 3
  };


}
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 2 3
# 52 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
namespace std
{



namespace __cxx11 {
# 76 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);

    private:




      typedef const_iterator __const_iterator;
# 139 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      struct _Alloc_hider : allocator_type
      {




 _Alloc_hider(pointer __dat, const _Alloc& __a)
 : allocator_type(__a), _M_p(__dat) { }

 _Alloc_hider(pointer __dat, _Alloc&& __a = _Alloc())
 : allocator_type(std::move(__a)), _M_p(__dat) { }


 pointer _M_p;
      };

      _Alloc_hider _M_dataplus;
      size_type _M_string_length;

      enum { _S_local_capacity = 15 / sizeof(_CharT) };

      union
      {
 _CharT _M_local_buf[_S_local_capacity + 1];
 size_type _M_allocated_capacity;
      };

      void
      _M_data(pointer __p)
      { _M_dataplus._M_p = __p; }

      void
      _M_length(size_type __length)
      { _M_string_length = __length; }

      pointer
      _M_data() const
      { return _M_dataplus._M_p; }

      pointer
      _M_local_data()
      {

 return std::pointer_traits<pointer>::pointer_to(*_M_local_buf);



      }

      const_pointer
      _M_local_data() const
      {

 return std::pointer_traits<const_pointer>::pointer_to(*_M_local_buf);



      }

      void
      _M_capacity(size_type __capacity)
      { _M_allocated_capacity = __capacity; }

      void
      _M_set_length(size_type __n)
      {
 _M_length(__n);
 traits_type::assign(_M_data()[__n], _CharT());
      }

      bool
      _M_is_local() const
      { return _M_data() == _M_local_data(); }


      pointer
      _M_create(size_type&, size_type);

      void
      _M_dispose()
      {
 if (!_M_is_local())
   _M_destroy(_M_allocated_capacity);
      }

      void
      _M_destroy(size_type __size) throw()
      { _Alloc_traits::deallocate(_M_get_allocator(), _M_data(), __size + 1); }



      template<typename _InIterator>
        void
        _M_construct_aux(_InIterator __beg, _InIterator __end,
    std::__false_type)
 {
          typedef typename iterator_traits<_InIterator>::iterator_category _Tag;
          _M_construct(__beg, __end, _Tag());
 }



      template<typename _Integer>
        void
        _M_construct_aux(_Integer __beg, _Integer __end, std::__true_type)
 { _M_construct_aux_2(static_cast<size_type>(__beg), __end); }

      void
      _M_construct_aux_2(size_type __req, _CharT __c)
      { _M_construct(__req, __c); }

      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end)
 {
   typedef typename std::__is_integer<_InIterator>::__type _Integral;
   _M_construct_aux(__beg, __end, _Integral());
        }


      template<typename _InIterator>
        void
        _M_construct(_InIterator __beg, _InIterator __end,
       std::input_iterator_tag);



      template<typename _FwdIterator>
        void
        _M_construct(_FwdIterator __beg, _FwdIterator __end,
       std::forward_iterator_tag);

      void
      _M_construct(size_type __req, _CharT __c);

      allocator_type&
      _M_get_allocator()
      { return _M_dataplus; }

      const allocator_type&
      _M_get_allocator() const
      { return _M_dataplus; }

    private:
# 298 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      _M_check(size_type __pos, const char* __s) const
      {
 if (__pos > this->size())
   __throw_out_of_range_fmt(("%s: __pos (which is %zu) > " "this->size() (which is %zu)")
                                         ,
       __s, __pos, this->size());
 return __pos;
      }

      void
      _M_check_length(size_type __n1, size_type __n2, const char* __s) const
      {
 if (this->max_size() - (this->size() - __n1) < __n2)
   __throw_length_error((__s));
      }



      size_type
      _M_limit(size_type __pos, size_type __off) const noexcept
      {
 const bool __testoff = __off < this->size() - __pos;
 return __testoff ? __off : this->size() - __pos;
      }


      bool
      _M_disjunct(const _CharT* __s) const noexcept
      {
 return (less<const _CharT*>()(__s, _M_data())
  || less<const _CharT*>()(_M_data() + this->size(), __s));
      }



      static void
      _S_copy(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::copy(__d, __s, __n);
      }

      static void
      _S_move(_CharT* __d, const _CharT* __s, size_type __n)
      {
 if (__n == 1)
   traits_type::assign(*__d, *__s);
 else
   traits_type::move(__d, __s, __n);
      }

      static void
      _S_assign(_CharT* __d, size_type __n, _CharT __c)
      {
 if (__n == 1)
   traits_type::assign(*__d, __c);
 else
   traits_type::assign(__d, __n, __c);
      }



      template<class _Iterator>
        static void
        _S_copy_chars(_CharT* __p, _Iterator __k1, _Iterator __k2)
        {
   for (; __k1 != __k2; ++__k1, (void)++__p)
     traits_type::assign(*__p, *__k1);
 }

      static void
      _S_copy_chars(_CharT* __p, iterator __k1, iterator __k2) noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, const_iterator __k1, const_iterator __k2)
      noexcept
      { _S_copy_chars(__p, __k1.base(), __k2.base()); }

      static void
      _S_copy_chars(_CharT* __p, _CharT* __k1, _CharT* __k2) noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static void
      _S_copy_chars(_CharT* __p, const _CharT* __k1, const _CharT* __k2)
      noexcept
      { _S_copy(__p, __k1, __k2 - __k1); }

      static int
      _S_compare(size_type __n1, size_type __n2) noexcept
      {
 const difference_type __d = difference_type(__n1 - __n2);

 if (__d > __gnu_cxx::__numeric_traits<int>::__max)
   return __gnu_cxx::__numeric_traits<int>::__max;
 else if (__d < __gnu_cxx::__numeric_traits<int>::__min)
   return __gnu_cxx::__numeric_traits<int>::__min;
 else
   return int(__d);
      }

      void
      _M_assign(const basic_string&);

      void
      _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
  size_type __len2);

      void
      _M_erase(size_type __pos, size_type __n);

    public:







      basic_string()
      noexcept(is_nothrow_default_constructible<_Alloc>::value)
      : _M_dataplus(_M_local_data())
      { _M_set_length(0); }




      explicit
      basic_string(const _Alloc& __a) noexcept
      : _M_dataplus(_M_local_data(), __a)
      { _M_set_length(0); }





      basic_string(const basic_string& __str)
      : _M_dataplus(_M_local_data(),
      _Alloc_traits::_S_select_on_copy(__str._M_get_allocator()))
      { _M_construct(__str._M_data(), __str._M_data() + __str.length()); }
# 450 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string(const basic_string& __str, size_type __pos,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, npos));
      }







      basic_string(const basic_string& __str, size_type __pos,
     size_type __n)
      : _M_dataplus(_M_local_data())
      {
 const _CharT* __start = __str._M_data()
   + __str._M_check(__pos, "basic_string::basic_string");
 _M_construct(__start, __start + __str._M_limit(__pos, __n));
      }
# 481 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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));
      }
# 499 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string(const _CharT* __s, size_type __n,
     const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s + __n); }
# 514 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string(const _CharT* __s, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__s, __s ? __s + traits_type::length(__s) : __s+npos); }
# 529 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string(size_type __n, _CharT __c, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__n, __c); }
# 541 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string(basic_string&& __str) noexcept
      : _M_dataplus(_M_local_data(), std::move(__str._M_get_allocator()))
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
   }
 else
   {
     _M_data(__str._M_data());
     _M_capacity(__str._M_allocated_capacity);
   }




 _M_length(__str.length());
 __str._M_data(__str._M_local_data());
 __str._M_set_length(0);
      }






      basic_string(initializer_list<_CharT> __l, const _Alloc& __a = _Alloc())
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__l.begin(), __l.end()); }

      basic_string(const basic_string& __str, const _Alloc& __a)
      : _M_dataplus(_M_local_data(), __a)
      { _M_construct(__str.begin(), __str.end()); }

      basic_string(basic_string&& __str, const _Alloc& __a)
      noexcept(_Alloc_traits::_S_always_equal())
      : _M_dataplus(_M_local_data(), __a)
      {
 if (__str._M_is_local())
   {
     traits_type::copy(_M_local_buf, __str._M_local_buf,
         _S_local_capacity + 1);
     _M_length(__str.length());
     __str._M_set_length(0);
   }
 else if (_Alloc_traits::_S_always_equal()
     || __str.get_allocator() == __a)
   {
     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     __str._M_data(__str._M_local_buf);
     __str._M_set_length(0);
   }
 else
   _M_construct(__str.begin(), __str.end());
      }
# 609 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>



        basic_string(_InputIterator __beg, _InputIterator __end,
       const _Alloc& __a = _Alloc())
 : _M_dataplus(_M_local_data(), __a)
 { _M_construct(__beg, __end); }
# 656 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      ~basic_string()
      { _M_dispose(); }





      basic_string&
      operator=(const basic_string& __str)
      {

 if (_Alloc_traits::_S_propagate_on_copy_assign())
   {
     if (!_Alloc_traits::_S_always_equal() && !_M_is_local()
  && _M_get_allocator() != __str._M_get_allocator())
       {


  if (__str.size() <= _S_local_capacity)
    {
      _M_destroy(_M_allocated_capacity);
      _M_data(_M_local_data());
      _M_set_length(0);
    }
  else
    {
      const auto __len = __str.size();
      auto __alloc = __str._M_get_allocator();

      auto __ptr = _Alloc_traits::allocate(__alloc, __len + 1);
      _M_destroy(_M_allocated_capacity);
      _M_data(__ptr);
      _M_capacity(__len);
      _M_set_length(__len);
    }
       }
     std::__alloc_on_copy(_M_get_allocator(), __str._M_get_allocator());
   }

 return this->assign(__str);
      }





      basic_string&
      operator=(const _CharT* __s)
      { return this->assign(__s); }
# 713 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      operator=(_CharT __c)
      {
 this->assign(1, __c);
 return *this;
      }
# 731 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      operator=(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {
 if (!_M_is_local() && _Alloc_traits::_S_propagate_on_move_assign()
     && !_Alloc_traits::_S_always_equal()
     && _M_get_allocator() != __str._M_get_allocator())
   {

     _M_destroy(_M_allocated_capacity);
     _M_data(_M_local_data());
     _M_set_length(0);
   }

 std::__alloc_on_move(_M_get_allocator(), __str._M_get_allocator());

 if (!__str._M_is_local()
     && (_Alloc_traits::_S_propagate_on_move_assign()
       || _Alloc_traits::_S_always_equal()))
   {
     pointer __data = nullptr;
     size_type __capacity;
     if (!_M_is_local())
       {
  if (_Alloc_traits::_S_always_equal())
    {
      __data = _M_data();
      __capacity = _M_allocated_capacity;
    }
  else
    _M_destroy(_M_allocated_capacity);
       }

     _M_data(__str._M_data());
     _M_length(__str.length());
     _M_capacity(__str._M_allocated_capacity);
     if (__data)
       {
  __str._M_data(__data);
  __str._M_capacity(__capacity);
       }
     else
       __str._M_data(__str._M_local_buf);
   }
 else
     assign(__str);
 __str.clear();
 return *this;
      }





      basic_string&
      operator=(initializer_list<_CharT> __l)
      {
 this->assign(__l.begin(), __l.size());
 return *this;
      }
# 816 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      iterator
      begin() noexcept
      { return iterator(_M_data()); }





      const_iterator
      begin() const noexcept
      { return const_iterator(_M_data()); }





      iterator
      end() noexcept
      { return iterator(_M_data() + this->size()); }





      const_iterator
      end() const noexcept
      { return const_iterator(_M_data() + this->size()); }






      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(this->end()); }






      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      reverse_iterator
      rend() noexcept
      { return reverse_iterator(this->begin()); }






      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(this->begin()); }






      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_data()); }





      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_data() + this->size()); }






      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(this->end()); }






      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(this->begin()); }


    public:



      size_type
      size() const noexcept
      { return _M_string_length; }



      size_type
      length() const noexcept
      { return _M_string_length; }


      size_type
      max_size() const noexcept
      { return (_Alloc_traits::max_size(_M_get_allocator()) - 1) / 2; }
# 945 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      resize(size_type __n, _CharT __c);
# 958 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      resize(size_type __n)
      { this->resize(__n, _CharT()); }



      void
      shrink_to_fit() noexcept
      {

 if (capacity() > size())
   {
     try
       { reserve(0); }
     catch(...)
       { }
   }

      }






      size_type
      capacity() const noexcept
      {
 return _M_is_local() ? size_type(_S_local_capacity)
                      : _M_allocated_capacity;
      }
# 1007 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      reserve(size_type __res_arg = 0);




      void
      clear() noexcept
      { _M_set_length(0); }





      bool
      empty() const noexcept
      { return this->size() == 0; }
# 1036 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      const_reference
      operator[] (size_type __pos) const noexcept
      {
 ;
 return _M_data()[__pos];
      }
# 1053 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      reference
      operator[](size_type __pos)
      {


 ;

 ;
 return _M_data()[__pos];
      }
# 1074 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      const_reference
      at(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }
# 1095 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      reference
      at(size_type __n)
      {
 if (__n >= size())
   __throw_out_of_range_fmt(("basic_string::at: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
 return _M_data()[__n];
      }






      reference
      front() noexcept
      {
 ;
 return operator[](0);
      }





      const_reference
      front() const noexcept
      {
 ;
 return operator[](0);
      }





      reference
      back() noexcept
      {
 ;
 return operator[](this->size() - 1);
      }





      const_reference
      back() const noexcept
      {
 ;
 return operator[](this->size() - 1);
      }
# 1158 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 1211 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      append(const basic_string& __str)
      { return _M_append(__str._M_data(), __str.size()); }
# 1228 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      append(const basic_string& __str, size_type __pos, size_type __n = npos)
      { return _M_append(__str._M_data()
    + __str._M_check(__pos, "basic_string::append"),
    __str._M_limit(__pos, __n)); }







      basic_string&
      append(const _CharT* __s, size_type __n)
      {
 ;
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }






      basic_string&
      append(const _CharT* __s)
      {
 ;
 const size_type __n = traits_type::length(__s);
 _M_check_length(size_type(0), __n, "basic_string::append");
 return _M_append(__s, __n);
      }
# 1270 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 1294 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 1339 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      push_back(_CharT __c)
      {
 const size_type __size = this->size();
 if (__size + 1 > this->capacity())
   this->_M_mutate(__size, size_type(0), 0, size_type(1));
 traits_type::assign(this->_M_data()[__size], __c);
 this->_M_set_length(__size + 1);
      }






      basic_string&
      assign(const basic_string& __str)
      {
 this->_M_assign(__str);
 return *this;
      }
# 1370 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      assign(basic_string&& __str)
      noexcept(_Alloc_traits::_S_nothrow_move())
      {


 return *this = std::move(__str);
      }
# 1393 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)); }
# 1409 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      assign(const _CharT* __s, size_type __n)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s, __n);
      }
# 1425 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      assign(const _CharT* __s)
      {
 ;
 return _M_replace(size_type(0), this->size(), __s,
     traits_type::length(__s));
      }
# 1442 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string&
      assign(size_type __n, _CharT __c)
      { return _M_replace_aux(size_type(0), this->size(), __n, __c); }
# 1455 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 1523 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 1565 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
 }
# 1601 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      insert(iterator __p, initializer_list<_CharT> __l)
      {
 ;
 this->insert(__p - begin(), __l.begin(), __l.size());
      }
# 1621 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 1644 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)); }
# 1667 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 1686 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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));
      }
# 1710 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 1728 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 1788 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
      }
# 1807 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 1826 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      iterator
      erase(__const_iterator __first, __const_iterator __last)
      {

                        ;
        const size_type __pos = __first - begin();
 if (__last == end())
   this->_M_set_length(__pos);
 else
   this->_M_erase(__pos, __last - __first);
 return iterator(this->_M_data() + __pos);
      }







      void
      pop_back() noexcept
      {
 ;
 _M_erase(size() - 1, 1);
      }
# 1870 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 1892 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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)); }
# 1917 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 1942 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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));
      }
# 1966 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 1984 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 2004 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 2026 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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));
      }
# 2047 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 2072 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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());
 }
# 2104 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 2163 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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()); }
# 2222 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
    private:
      template<class _Integer>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _Integer __n, _Integer __val, __true_type)
        { return _M_replace_aux(__i1 - begin(), __i2 - __i1, __n, __val); }

      template<class _InputIterator>
 basic_string&
 _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
       _InputIterator __k1, _InputIterator __k2,
       __false_type);

      basic_string&
      _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
       _CharT __c);

      basic_string&
      _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
   const size_type __len2);

      basic_string&
      _M_append(const _CharT* __s, size_type __n);

    public:
# 2260 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      copy(_CharT* __s, size_type __n, size_type __pos = 0) const;
# 2270 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      void
      swap(basic_string& __s) noexcept;
# 2280 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      const _CharT*
      c_str() const noexcept
      { return _M_data(); }
# 2292 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      const _CharT*
      data() const noexcept
      { return _M_data(); }
# 2311 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      allocator_type
      get_allocator() const noexcept
      { return _M_get_allocator(); }
# 2327 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2341 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find(__str.data(), __pos, __str.size()); }
# 2373 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find(const _CharT* __s, size_type __pos = 0) const noexcept
      {
 ;
 return this->find(__s, __pos, traits_type::length(__s));
      }
# 2390 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find(_CharT __c, size_type __pos = 0) const noexcept;
# 2403 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      rfind(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->rfind(__str.data(), __pos, __str.size()); }
# 2437 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2451 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      rfind(const _CharT* __s, size_type __pos = npos) const
      {
 ;
 return this->rfind(__s, __pos, traits_type::length(__s));
      }
# 2468 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      rfind(_CharT __c, size_type __pos = npos) const noexcept;
# 2482 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_of(__str.data(), __pos, __str.size()); }
# 2517 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2531 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_of(__s, __pos, traits_type::length(__s));
      }
# 2551 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_of(_CharT __c, size_type __pos = 0) const noexcept
      { return this->find(__c, __pos); }
# 2566 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_of(__str.data(), __pos, __str.size()); }
# 2601 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
      noexcept;
# 2615 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_of(__s, __pos, traits_type::length(__s));
      }
# 2635 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_of(_CharT __c, size_type __pos = npos) const noexcept
      { return this->rfind(__c, __pos); }
# 2649 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_not_of(const basic_string& __str, size_type __pos = 0) const
      noexcept
      { return this->find_first_not_of(__str.data(), __pos, __str.size()); }
# 2684 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos,
   size_type __n) const noexcept;
# 2698 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_not_of(const _CharT* __s, size_type __pos = 0) const
      noexcept
      {
 ;
 return this->find_first_not_of(__s, __pos, traits_type::length(__s));
      }
# 2716 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_first_not_of(_CharT __c, size_type __pos = 0) const
      noexcept;
# 2731 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_not_of(const basic_string& __str, size_type __pos = npos) const
      noexcept
      { return this->find_last_not_of(__str.data(), __pos, __str.size()); }
# 2766 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos,
         size_type __n) const noexcept;
# 2780 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_not_of(const _CharT* __s, size_type __pos = npos) const
      noexcept
      {
 ;
 return this->find_last_not_of(__s, __pos, traits_type::length(__s));
      }
# 2798 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      size_type
      find_last_not_of(_CharT __c, size_type __pos = npos) const
      noexcept;
# 2814 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      basic_string
      substr(size_type __pos = 0, size_type __n = npos) const
      { return basic_string(*this,
       _M_check(__pos, "basic_string::substr"), __n); }
# 2833 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(const basic_string& __str) const
      {
 const size_type __size = this->size();
 const size_type __osize = __str.size();
 const size_type __len = std::min(__size, __osize);

 int __r = traits_type::compare(_M_data(), __str.data(), __len);
 if (!__r)
   __r = _S_compare(__size, __osize);
 return __r;
      }
# 2926 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(size_type __pos, size_type __n, const basic_string& __str) const;
# 2952 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(size_type __pos1, size_type __n1, const basic_string& __str,
       size_type __pos2, size_type __n2 = npos) const;
# 2970 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(const _CharT* __s) const noexcept;
# 2994 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s) const;
# 3021 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
      int
      compare(size_type __pos, size_type __n1, const _CharT* __s,
       size_type __n2) const;


      template<typename, typename, typename> friend class basic_stringbuf;
    };
}
# 5916 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
      __str.append(__rhs);
      return __str;
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT,_Traits,_Alloc>
    operator+(const _CharT* __lhs,
       const basic_string<_CharT,_Traits,_Alloc>& __rhs);







  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT,_Traits,_Alloc>
    operator+(_CharT __lhs, const basic_string<_CharT,_Traits,_Alloc>& __rhs);







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    {
      basic_string<_CharT, _Traits, _Alloc> __str(__lhs);
      __str.append(__rhs);
      return __str;
    }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs, _CharT __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      __string_type __str(__lhs);
      __str.append(__size_type(1), __rhs);
      return __str;
    }


  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    {
      const auto __size = __lhs.size() + __rhs.size();
      const bool __cond = (__size > __lhs.capacity()
      && __size <= __rhs.capacity());
      return __cond ? std::move(__rhs.insert(0, __lhs))
             : std::move(__lhs.append(__rhs));
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs,
       basic_string<_CharT, _Traits, _Alloc>&& __rhs)
    { return std::move(__rhs.insert(0, 1, __lhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       const _CharT* __rhs)
    { return std::move(__lhs.append(__rhs)); }

  template<typename _CharT, typename _Traits, typename _Alloc>
    inline basic_string<_CharT, _Traits, _Alloc>
    operator+(basic_string<_CharT, _Traits, _Alloc>&& __lhs,
       _CharT __rhs)
    { return std::move(__lhs.append(1, __rhs)); }
# 6037 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) == 0; }

  template<typename _CharT>
    inline
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, bool>::__type
    operator==(const basic_string<_CharT>& __lhs,
        const basic_string<_CharT>& __rhs) noexcept
    { return (__lhs.size() == __rhs.size()
       && !std::char_traits<_CharT>::compare(__lhs.data(), __rhs.data(),
          __lhs.size())); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) == 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator==(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) == 0; }
# 6084 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return !(__lhs == __rhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return !(__lhs == __rhs); }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator!=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return !(__lhs == __rhs); }
# 6122 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) < 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) > 0; }
# 6160 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
       const _CharT* __rhs)
    { return __lhs.compare(__rhs) > 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) < 0; }
# 6198 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) <= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator<=(const _CharT* __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) >= 0; }
# 6236 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    noexcept
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
        const _CharT* __rhs)
    { return __lhs.compare(__rhs) >= 0; }







  template<typename _CharT, typename _Traits, typename _Alloc>
    inline bool
    operator>=(const _CharT* __lhs,
      const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    { return __rhs.compare(__lhs) <= 0; }
# 6274 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 6294 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
# 6312 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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());
    }
# 6335 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
# 6352 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 3
# 75 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 3
# 1 "c:\\mingw\\include\\stdlib.h" 1 3
# 34 "c:\\mingw\\include\\stdlib.h" 3
       
# 35 "c:\\mingw\\include\\stdlib.h" 3
# 55 "c:\\mingw\\include\\stdlib.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 56 "c:\\mingw\\include\\stdlib.h" 2 3
# 90 "c:\\mingw\\include\\stdlib.h" 3
extern "C" {
# 99 "c:\\mingw\\include\\stdlib.h" 3
extern int _argc;
extern char **_argv;




extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) int *__p___argc(void);
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) char ***__p___argv(void);
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t ***__p___wargv(void);
# 166 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int *_errno(void);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int *__doserrno(void);







extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) char ***__p__environ(void);

extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t ***__p__wenviron(void);
# 202 "c:\\mingw\\include\\stdlib.h" 3
extern __attribute__((__dllimport__)) int _sys_nerr;
# 227 "c:\\mingw\\include\\stdlib.h" 3
extern __attribute__((__dllimport__)) char *_sys_errlist[];
# 238 "c:\\mingw\\include\\stdlib.h" 3
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int *__p__osver(void);
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int *__p__winver(void);
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int *__p__winmajor(void);
extern __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int *__p__winminor(void);
# 250 "c:\\mingw\\include\\stdlib.h" 3
extern __attribute__((__dllimport__)) unsigned int _osver;
extern __attribute__((__dllimport__)) unsigned int _winver;
extern __attribute__((__dllimport__)) unsigned int _winmajor;
extern __attribute__((__dllimport__)) unsigned int _winminor;
# 289 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char **__p__pgmptr(void);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t **__p__wpgmptr(void);
# 325 "c:\\mingw\\include\\stdlib.h" 3
extern __attribute__((__dllimport__)) int _fmode;
# 335 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int atoi (const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long atol (const char *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) double strtod (const char *, char **);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) double atof (const char *);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) double _wtof (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _wtoi (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long _wtol (const wchar_t *);
# 378 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__))
float strtof (const char *__restrict__, char **__restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
long double strtold (const char *__restrict__, char **__restrict__);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long strtol (const char *, char **, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned long strtoul (const char *, char **, int);
# 474 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t wcstombs (char *, const wchar_t *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int wctomb (char *, wchar_t);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int mblen (const char *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t mbstowcs (wchar_t *, const char *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int mbtowc (wchar_t *, const char *, size_t);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int rand (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void srand (unsigned int);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void abort (void) __attribute__((__noreturn__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void exit (int) __attribute__((__noreturn__));



int __attribute__((__cdecl__)) __attribute__((__nothrow__)) atexit (void (*)(void));

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int system (const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *getenv (const char *);






# 1 "c:\\mingw\\include\\alloca.h" 1 3
# 43 "c:\\mingw\\include\\alloca.h" 3
       
# 44 "c:\\mingw\\include\\alloca.h" 3
# 54 "c:\\mingw\\include\\alloca.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 55 "c:\\mingw\\include\\alloca.h" 2 3

extern "C" {
# 80 "c:\\mingw\\include\\alloca.h" 3
void *alloca( size_t );







void *_alloca( size_t );


}
# 500 "c:\\mingw\\include\\stdlib.h" 2 3


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void *calloc (size_t, size_t) __attribute__((__malloc__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void *malloc (size_t) __attribute__((__malloc__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void *realloc (void *, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void free (void *);
# 514 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) void *__mingw_realloc (void *, size_t);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) void __mingw_free (void *);






 __attribute__((__cdecl__)) void *bsearch
(const void *, const void *, size_t, size_t, int (*)(const void *, const void *));

 __attribute__((__cdecl__)) void qsort
(void *, size_t, size_t, int (*)(const void *, const void *));

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int abs (int) __attribute__((__const__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long labs (long) __attribute__((__const__));
# 538 "c:\\mingw\\include\\stdlib.h" 3
typedef struct { int quot, rem; } div_t;
typedef struct { long quot, rem; } ldiv_t;

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) div_t div (int, int) __attribute__((__const__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) ldiv_t ldiv (long, long) __attribute__((__const__));






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void _exit (int) __attribute__((__noreturn__));





 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long long _atoi64 (const char *);
# 564 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void _beep (unsigned int, unsigned int) __attribute__((__deprecated__));

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void _seterrormode (int) __attribute__((__deprecated__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void _sleep (unsigned long) __attribute__((__deprecated__));



typedef int (* _onexit_t)(void);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) _onexit_t _onexit( _onexit_t );

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _putenv (const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _searchenv (const char *, const char *, char *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_ecvt (double, int, int *, int *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_fcvt (double, int, int *, int *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_gcvt (double, int, char *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _makepath (char *, const char *, const char *, const char *, const char *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__))
void _splitpath (const char *, char *, char *, char *, char *);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_fullpath (char*, const char*, size_t);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_itoa (int, char *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_ltoa (long, char *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_ultoa(unsigned long, char *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_itow (int, wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_ltow (long, wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t *_ultow (unsigned long, wchar_t *, int);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* _i64toa (long long, char *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* _ui64toa (unsigned long long, char *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long long _wtoi64 (const wchar_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t* _i64tow (long long, wchar_t *, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wchar_t* _ui64tow (unsigned long long, wchar_t *, int);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int (_rotl)(unsigned int, int) __attribute__((__const__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned int (_rotr)(unsigned int, int) __attribute__((__const__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned long (_lrotl)(unsigned long, int) __attribute__((__const__));
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) unsigned long (_lrotr)(unsigned long, int) __attribute__((__const__));

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _set_error_mode (int);
# 647 "c:\\mingw\\include\\stdlib.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putenv (const char*);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void searchenv (const char*, const char*, char*);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* itoa (int, char*, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* ltoa (long, char*, int);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* ecvt (double, int, int*, int*);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* fcvt (double, int, int*, int*);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char* gcvt (double, int, char*);
# 668 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) void _Exit(int) __attribute__((__noreturn__));






typedef struct { long long quot, rem; } lldiv_t;
__attribute__((__cdecl__)) __attribute__((__nothrow__)) lldiv_t lldiv (long long, long long) __attribute__((__const__));

__attribute__((__cdecl__)) __attribute__((__nothrow__)) long long llabs (long long);
# 689 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__))
long long strtoll (const char *__restrict__, char **__restrict, int);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
unsigned long long strtoull (const char *__restrict__, char **__restrict__, int);





__attribute__((__cdecl__)) __attribute__((__nothrow__)) long long atoll (const char *);
# 745 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__deprecated__)) long long wtoll (const wchar_t *);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__deprecated__)) char *lltoa (long long, char *, int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__deprecated__)) char *ulltoa (unsigned long long , char *, int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__deprecated__)) wchar_t *lltow (long long, wchar_t *, int);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__deprecated__)) wchar_t *ulltow (unsigned long long, wchar_t *, int);
# 785 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int mkstemp (char *);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __mingw_mkstemp (int, char *);
# 827 "c:\\mingw\\include\\stdlib.h" 3
inline __attribute__((__always_inline__))
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int mkstemp (char *__filename_template)
{ return __mingw_mkstemp( 0, __filename_template ); }
# 838 "c:\\mingw\\include\\stdlib.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) char *mkdtemp (char *);
__attribute__((__cdecl__)) __attribute__((__nothrow__)) char *__mingw_mkdtemp (char *);

inline __attribute__((__always_inline__))
__attribute__((__cdecl__)) __attribute__((__nothrow__)) char *mkdtemp (char *__dirname_template)
{ return __mingw_mkdtemp( __dirname_template ); }






__attribute__((__cdecl__)) __attribute__((__nothrow__)) int setenv( const char *, const char *, int );
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int unsetenv( const char * );

__attribute__((__cdecl__)) __attribute__((__nothrow__)) int __mingw_setenv( const char *, const char *, int );

inline __attribute__((__always_inline__))
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int setenv( const char *__n, const char *__v, int __f )
{ return __mingw_setenv( __n, __v, __f ); }

inline __attribute__((__always_inline__))
__attribute__((__cdecl__)) __attribute__((__nothrow__)) int unsetenv( const char *__name )
{ return __mingw_setenv( __name, __null, 1 ); }




}
# 76 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\std_abs.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\std_abs.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\std_abs.h" 3
# 46 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\std_abs.h" 3
extern "C++"
{
namespace std
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }







  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }
# 100 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\std_abs.h" 3
  inline constexpr
  __float128
  abs(__float128 __x)
  { return __x < 0 ? -__x : __x; }



}
}
# 78 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 2 3
# 121 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 3
extern "C++"
{
namespace std
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;



  using ::atexit;





  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 ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



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




}
# 195 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdlib" 3
namespace __gnu_cxx
{



  using ::lldiv_t;





  using ::_Exit;



  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
# 227 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
}



}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwchar" 3
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 3


# 1 "c:\\mingw\\include\\stdio.h" 1 3
# 38 "c:\\mingw\\include\\stdio.h" 3
       
# 39 "c:\\mingw\\include\\stdio.h" 3
# 68 "c:\\mingw\\include\\stdio.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\stddef.h" 1 3 4
# 69 "c:\\mingw\\include\\stdio.h" 2 3
# 239 "c:\\mingw\\include\\stdio.h" 3
extern __attribute__((__dllimport__)) FILE _iob[];
# 252 "c:\\mingw\\include\\stdio.h" 3
extern "C" {







 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * fopen (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * freopen (const char *, const char *, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fflush (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fclose (FILE *);






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int remove (const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int rename (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * tmpfile (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char * tmpnam (char *);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char *_tempnam (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _rmtmp (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _unlink (const char *);
# 289 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char * tempnam (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int rmtmp (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int unlink (const char *);



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int setvbuf (FILE *, char *, int, size_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void setbuf (FILE *, char *);
# 342 "c:\\mingw\\include\\stdio.h" 3
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,2,3))) __mingw_fprintf(FILE*, const char*, ...);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,1,2))) __mingw_printf(const char*, ...);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,2,3))) __mingw_sprintf(char*, const char*, ...);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,3,4))) __mingw_snprintf(char*, size_t, const char*, ...);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,2,0))) __mingw_vfprintf(FILE*, const char*, __builtin_va_list);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,1,0))) __mingw_vprintf(const char*, __builtin_va_list);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,2,0))) __mingw_vsprintf(char*, const char*, __builtin_va_list);
extern int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,3,0))) __mingw_vsnprintf(char*, size_t, const char*, __builtin_va_list);
# 376 "c:\\mingw\\include\\stdio.h" 3
extern unsigned int _mingw_output_format_control( unsigned int, unsigned int );
# 461 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fprintf (FILE *, const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int printf (const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int sprintf (char *, const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vfprintf (FILE *, const char *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vprintf (const char *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int vsprintf (char *, const char *, __builtin_va_list);
# 479 "c:\\mingw\\include\\stdio.h" 3
inline __attribute__((__cdecl__)) __attribute__((__nothrow__))
int snprintf (char *__buf, size_t __len, const char *__format, ...)
{
  register int __retval;
  __builtin_va_list __local_argv; __builtin_va_start( __local_argv, __format );
  __retval = __mingw_vsnprintf( __buf, __len, __format, __local_argv );
  __builtin_va_end( __local_argv );
  return __retval;
}

inline __attribute__((__cdecl__)) __attribute__((__nothrow__))
int vsnprintf (char *__buf, size_t __len, const char *__format, __builtin_va_list __local_argv)
{
  return __mingw_vsnprintf( __buf, __len, __format, __local_argv );
}
# 513 "c:\\mingw\\include\\stdio.h" 3
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,2,3))) __msvcrt_fprintf(FILE *, const char *, ...);
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,1,2))) __msvcrt_printf(const char *, ...);
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,2,3))) __msvcrt_sprintf(char *, const char *, ...);
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,2,0))) __msvcrt_vfprintf(FILE *, const char *, __builtin_va_list);
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,1,0))) __msvcrt_vprintf(const char *, __builtin_va_list);
 int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__ms_printf__,2,0))) __msvcrt_vsprintf(char *, const char *, __builtin_va_list);






 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _snprintf (char *, size_t, const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _vsnprintf (char *, size_t, const char *, __builtin_va_list);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _vscprintf (const char *, __builtin_va_list);
# 536 "c:\\mingw\\include\\stdio.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,3,4)))
int snprintf (char *, size_t, const char *, ...);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) __attribute__((__format__(__mingw_printf__,3,0)))
int vsnprintf (char *, size_t, const char *, __builtin_va_list);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
int vscanf (const char * __restrict__, __builtin_va_list);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
int vfscanf (FILE * __restrict__, const char * __restrict__, __builtin_va_list);

__attribute__((__cdecl__)) __attribute__((__nothrow__))
int vsscanf (const char * __restrict__, const char * __restrict__, __builtin_va_list);
# 679 "c:\\mingw\\include\\stdio.h" 3
__attribute__((__cdecl__)) __attribute__((__nothrow__)) ssize_t
getdelim (char ** __restrict__, size_t * __restrict__, int, FILE * __restrict__);

__attribute__((__cdecl__)) __attribute__((__nothrow__)) ssize_t
getline (char ** __restrict__, size_t * __restrict__, FILE * __restrict__);
# 699 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fscanf (FILE *, const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int scanf (const char *, ...);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int sscanf (const char *, const char *, ...);



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fgetc (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char * fgets (char *, int, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fputc (int, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fputs (const char *, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) char * gets (char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int puts (const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int ungetc (int, FILE *);
# 720 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _filbuf (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _flsbuf (int, FILE *);



inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int getc (FILE *);
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int getc (FILE * __F)
{
  return (--__F->_cnt >= 0)
    ? (int) (unsigned char) *__F->_ptr++
    : _filbuf (__F);
}

inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putc (int, FILE *);
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putc (int __c, FILE * __F)
{
  return (--__F->_cnt >= 0)
    ? (int) (unsigned char) (*__F->_ptr++ = (char)__c)
    : _flsbuf (__c, __F);
}

inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int getchar (void);
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int getchar (void)
{
  return (--(&_iob[0])->_cnt >= 0)
    ? (int) (unsigned char) *(&_iob[0])->_ptr++
    : _filbuf ((&_iob[0]));
}

inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putchar(int);
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putchar(int __c)
{
  return (--(&_iob[1])->_cnt >= 0)
    ? (int) (unsigned char) (*(&_iob[1])->_ptr++ = (char)__c)
    : _flsbuf (__c, (&_iob[1]));}
# 767 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t fread (void *, size_t, size_t, FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) size_t fwrite (const void *, size_t, size_t, FILE *);



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fseek (FILE *, long, int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) long ftell (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void rewind (FILE *);
# 821 "c:\\mingw\\include\\stdio.h" 3
typedef union { long long __value; __off64_t __offset; } fpos_t;




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fgetpos (FILE *, fpos_t *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fsetpos (FILE *, const fpos_t *);
# 862 "c:\\mingw\\include\\stdio.h" 3
int __attribute__((__cdecl__)) __attribute__((__nothrow__)) __mingw_fseeki64 (FILE *, long long, int);
inline __attribute__((__always_inline__)) __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _fseeki64 (FILE *__f, long long __o, int __w)
{ return __mingw_fseeki64 (__f, __o, __w); }


long long __attribute__((__cdecl__)) __attribute__((__nothrow__)) __mingw_ftelli64 (FILE *);
inline __attribute__((__always_inline__)) __attribute__((__cdecl__)) long long __attribute__((__nothrow__)) _ftelli64 (FILE *__file )
{ return __mingw_ftelli64 (__file); }





 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int feof (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int ferror (FILE *);


inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int feof (FILE * __F){ return __F->_flag & 0x0010; }
inline __attribute__((__cdecl__)) __attribute__((__nothrow__)) int ferror (FILE * __F){ return __F->_flag & 0x0020; }





 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void clearerr (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) void perror (const char *);





 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _popen (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _pclose (FILE *);


 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * popen (const char *, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int pclose (FILE *);




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _flushall (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _fgetchar (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _fputchar (int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _fdopen (int, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _fileno (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _fcloseall (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * _fsopen (const char *, const char *, int);

 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _getmaxstdio (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _setmaxstdio (int);
# 936 "c:\\mingw\\include\\stdio.h" 3
unsigned int __attribute__((__cdecl__)) __mingw_get_output_format (void);
unsigned int __attribute__((__cdecl__)) __mingw_set_output_format (unsigned int);







int __attribute__((__cdecl__)) __mingw_get_printf_count_output (void);
int __attribute__((__cdecl__)) __mingw_set_printf_count_output (int);
# 962 "c:\\mingw\\include\\stdio.h" 3
inline __attribute__((__always_inline__)) unsigned int __attribute__((__cdecl__)) _get_output_format (void)
{ return __mingw_get_output_format (); }

inline __attribute__((__always_inline__)) unsigned int __attribute__((__cdecl__)) _set_output_format (unsigned int __style)
{ return __mingw_set_output_format (__style); }
# 987 "c:\\mingw\\include\\stdio.h" 3
inline __attribute__((__always_inline__)) int __attribute__((__cdecl__)) _get_printf_count_output (void)
{ return 0 ? 1 : __mingw_get_printf_count_output (); }

inline __attribute__((__always_inline__)) int __attribute__((__cdecl__)) _set_printf_count_output (int __mode)
{ return 0 ? 1 : __mingw_set_printf_count_output (__mode); }



 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fgetchar (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fputchar (int);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * fdopen (int, const char *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int fileno (FILE *);
# 1007 "c:\\mingw\\include\\stdio.h" 3
inline __attribute__((__always_inline__)) FILE * __attribute__((__cdecl__)) __attribute__((__nothrow__)) fopen64 (const char *, const char *);
inline __attribute__((__always_inline__))
FILE * __attribute__((__cdecl__)) __attribute__((__nothrow__)) fopen64 (const char * filename, const char * mode)
{ return fopen (filename, mode); }

int __attribute__((__cdecl__)) __attribute__((__nothrow__)) fseeko64 (FILE *, __off64_t, int);
# 1028 "c:\\mingw\\include\\stdio.h" 3
__off64_t __attribute__((__cdecl__)) __attribute__((__nothrow__)) ftello64 (FILE *);
# 1110 "c:\\mingw\\include\\stdio.h" 3
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) FILE * wpopen (const wchar_t *, const wchar_t *);




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t _fgetwchar (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t _fputwchar (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _getw (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int _putw (int, FILE *);




 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t fgetwchar (void);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) wint_t fputwchar (wint_t);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int getw (FILE *);
 __attribute__((__cdecl__)) __attribute__((__nothrow__)) int putw (int, FILE *);




}
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 2 3
# 96 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 3
namespace __gnu_cxx
{
# 175 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cstdio" 3
  using ::snprintf;
  using ::vfscanf;
  using ::vscanf;
  using ::vsnprintf;
  using ::vsscanf;

}

namespace std
{
  using ::__gnu_cxx::snprintf;
  using ::__gnu_cxx::vfscanf;
  using ::__gnu_cxx::vscanf;
  using ::__gnu_cxx::vsnprintf;
  using ::__gnu_cxx::vsscanf;
}
# 44 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 3
# 45 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ext\\string_conversions.h" 2 3

namespace __gnu_cxx
{



  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())) { (*_errno()) = 0; }
 ~_Save_errno() { if ((*_errno()) == 0) (*_errno()) = _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()) == 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);
    }


}
# 6392 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 2 3

namespace std
{

namespace __cxx11 {



  inline int
  stoi(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::strtol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const string& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::strtoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const string& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::strtold, "stold", __str.c_str(), __idx); }






  inline string
  to_string(int __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(int),
        "%d", __val); }

  inline string
  to_string(unsigned __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned),
        "%u", __val); }

  inline string
  to_string(long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, 4 * sizeof(long),
        "%ld", __val); }

  inline string
  to_string(unsigned long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long),
        "%lu", __val); }

  inline string
  to_string(long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(long long),
        "%lld", __val); }

  inline string
  to_string(unsigned long long __val)
  { return __gnu_cxx::__to_xstring<string>(&std::vsnprintf,
        4 * sizeof(unsigned long long),
        "%llu", __val); }

  inline string
  to_string(float __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<float>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%f", __val);
  }

  inline string
  to_string(long double __val)
  {
    const int __n =
      __gnu_cxx::__numeric_traits<long double>::__max_exponent10 + 20;
    return __gnu_cxx::__to_xstring<string>(&std::vsnprintf, __n,
        "%Lf", __val);
  }



  inline int
  stoi(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa<long, int>(&std::wcstol, "stoi", __str.c_str(),
     __idx, __base); }

  inline long
  stol(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstol, "stol", __str.c_str(),
        __idx, __base); }

  inline unsigned long
  stoul(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoul, "stoul", __str.c_str(),
        __idx, __base); }

  inline long long
  stoll(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoll, "stoll", __str.c_str(),
        __idx, __base); }

  inline unsigned long long
  stoull(const wstring& __str, size_t* __idx = 0, int __base = 10)
  { return __gnu_cxx::__stoa(&std::wcstoull, "stoull", __str.c_str(),
        __idx, __base); }


  inline float
  stof(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstof, "stof", __str.c_str(), __idx); }

  inline double
  stod(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstod, "stod", __str.c_str(), __idx); }

  inline long double
  stold(const wstring& __str, size_t* __idx = 0)
  { return __gnu_cxx::__stoa(&std::wcstold, "stold", __str.c_str(), __idx); }
# 6609 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 3
}

}





# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 3



namespace std
{

# 49 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 3
  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type ;
      typedef _Arg argument_type ;
    };


  template<typename _Tp>
    struct hash;

  template<typename _Tp, typename = void>
    struct __poison_hash
    {
      static constexpr bool __enable_hash_call = false;
    private:

      __poison_hash(__poison_hash&&);
      ~__poison_hash();
    };

  template<typename _Tp>
    struct __poison_hash<_Tp, __void_t<decltype(hash<_Tp>()(declval<_Tp>()))>>
    {
      static constexpr bool __enable_hash_call = true;
    };


  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __hash_enum
    {
    private:

      __hash_enum(__hash_enum&&);
      ~__hash_enum();
    };


  template<typename _Tp>
    struct __hash_enum<_Tp, true> : public __hash_base<size_t, _Tp>
    {
      size_t
      operator()(_Tp __val) const noexcept
      {
       using __type = typename underlying_type<_Tp>::type;
       return hash<__type>{}(static_cast<__type>(__val));
      }
    };



  template<typename _Tp>
    struct hash : __hash_enum<_Tp>
    { };


  template<typename _Tp>
    struct hash<_Tp*> : public __hash_base<size_t, _Tp*>
    {
      size_t
      operator()(_Tp* __p) const noexcept
      { return reinterpret_cast<size_t>(__p); }
    };
# 124 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 3
  template<> struct hash<bool> : public __hash_base<size_t, bool> { size_t operator()(bool __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char> : public __hash_base<size_t, char> { size_t operator()(char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<signed char> : public __hash_base<size_t, signed char> { size_t operator()(signed char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned char> : public __hash_base<size_t, unsigned char> { size_t operator()(unsigned char __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<wchar_t> : public __hash_base<size_t, wchar_t> { size_t operator()(wchar_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char16_t> : public __hash_base<size_t, char16_t> { size_t operator()(char16_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<char32_t> : public __hash_base<size_t, char32_t> { size_t operator()(char32_t __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<short> : public __hash_base<size_t, short> { size_t operator()(short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<int> : public __hash_base<size_t, int> { size_t operator()(int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long> : public __hash_base<size_t, long> { size_t operator()(long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<long long> : public __hash_base<size_t, long long> { size_t operator()(long long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned short> : public __hash_base<size_t, unsigned short> { size_t operator()(unsigned short __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned int> : public __hash_base<size_t, unsigned int> { size_t operator()(unsigned int __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long> : public __hash_base<size_t, unsigned long> { size_t operator()(unsigned long __val) const noexcept { return static_cast<size_t>(__val); } };


  template<> struct hash<unsigned long long> : public __hash_base<size_t, unsigned long long> { size_t operator()(unsigned long long __val) const noexcept { return static_cast<size_t>(__val); } };
# 187 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\functional_hash.h" 3
  struct _Hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(0xc70f6907UL))
    { return _Hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  struct _Fnv_hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(2166136261UL))
    { return _Fnv_hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  template<>
    struct hash<float> : public __hash_base<size_t, float>
    {
      size_t
      operator()(float __val) const noexcept
      {

 return __val != 0.0f ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<double> : public __hash_base<size_t, double>
    {
      size_t
      operator()(double __val) const noexcept
      {

 return __val != 0.0 ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<long double>
    : public __hash_base<size_t, long double>
    {
      __attribute__ ((__pure__)) size_t
      operator()(long double __val) const noexcept;
    };







  template<typename _Hash>
    struct __is_fast_hash : public std::true_type
    { };

  template<>
    struct __is_fast_hash<hash<long double>> : public std::false_type
    { };


}
# 6618 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.h" 2 3

namespace std
{






  template<>
    struct hash<string>
    : public __hash_base<size_t, string>
    {
      size_t
      operator()(const string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(), __s.length()); }
    };

  template<>
    struct __is_fast_hash<hash<string>> : std::false_type
    { };



  template<>
    struct hash<wstring>
    : public __hash_base<size_t, wstring>
    {
      size_t
      operator()(const wstring& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(wchar_t)); }
    };

  template<>
    struct __is_fast_hash<hash<wstring>> : std::false_type
    { };





  template<>
    struct hash<u16string>
    : public __hash_base<size_t, u16string>
    {
      size_t
      operator()(const u16string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char16_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u16string>> : std::false_type
    { };


  template<>
    struct hash<u32string>
    : public __hash_base<size_t, u32string>
    {
      size_t
      operator()(const u32string& __s) const noexcept
      { return std::_Hash_impl::hash(__s.data(),
                                     __s.length() * sizeof(char32_t)); }
    };

  template<>
    struct __is_fast_hash<hash<u32string>> : std::false_type
    { };






  inline namespace literals
  {
  inline namespace string_literals
  {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wliteral-suffix"
    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char>
    operator""s(const char* __str, size_t __len)
    { return basic_string<char>{__str, __len}; }


    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<wchar_t>
    operator""s(const wchar_t* __str, size_t __len)
    { return basic_string<wchar_t>{__str, __len}; }



    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char16_t>
    operator""s(const char16_t* __str, size_t __len)
    { return basic_string<char16_t>{__str, __len}; }

    __attribute ((__abi_tag__ ("cxx11")))
    inline basic_string<char32_t>
    operator""s(const char32_t* __str, size_t __len)
    { return basic_string<char32_t>{__str, __len}; }


#pragma GCC diagnostic pop
  }
  }




}
# 53 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.tcc" 1 3
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.tcc" 3
       
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.tcc" 3



namespace std
{




  template<typename _CharT, typename _Traits, typename _Alloc>
    const typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::npos;

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    swap(basic_string& __s) noexcept
    {
      if (this == &__s)
 return;

      _Alloc_traits::_S_on_swap(_M_get_allocator(), __s._M_get_allocator());

      if (_M_is_local())
 if (__s._M_is_local())
   {
     if (length() && __s.length())
       {
  _CharT __tmp_data[_S_local_capacity + 1];
  traits_type::copy(__tmp_data, __s._M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  traits_type::copy(_M_local_buf, __tmp_data,
      _S_local_capacity + 1);
       }
     else if (__s.length())
       {
  traits_type::copy(_M_local_buf, __s._M_local_buf,
      _S_local_capacity + 1);
  _M_length(__s.length());
  __s._M_set_length(0);
  return;
       }
     else if (length())
       {
  traits_type::copy(__s._M_local_buf, _M_local_buf,
      _S_local_capacity + 1);
  __s._M_length(length());
  _M_set_length(0);
  return;
       }
   }
 else
   {
     const size_type __tmp_capacity = __s._M_allocated_capacity;
     traits_type::copy(__s._M_local_buf, _M_local_buf,
         _S_local_capacity + 1);
     _M_data(__s._M_data());
     __s._M_data(__s._M_local_buf);
     _M_capacity(__tmp_capacity);
   }
      else
 {
   const size_type __tmp_capacity = _M_allocated_capacity;
   if (__s._M_is_local())
     {
       traits_type::copy(_M_local_buf, __s._M_local_buf,
    _S_local_capacity + 1);
       __s._M_data(_M_data());
       _M_data(_M_local_buf);
     }
   else
     {
       pointer __tmp_ptr = _M_data();
       _M_data(__s._M_data());
       __s._M_data(__tmp_ptr);
       _M_capacity(__s._M_allocated_capacity);
     }
   __s._M_capacity(__tmp_capacity);
 }

      const size_type __tmp_length = length();
      _M_length(__s.length());
      __s._M_length(__tmp_length);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::pointer
    basic_string<_CharT, _Traits, _Alloc>::
    _M_create(size_type& __capacity, size_type __old_capacity)
    {


      if (__capacity > max_size())
 std::__throw_length_error(("basic_string::_M_create"));




      if (__capacity > __old_capacity && __capacity < 2 * __old_capacity)
 {
   __capacity = 2 * __old_capacity;

   if (__capacity > max_size())
     __capacity = max_size();
 }



      return _Alloc_traits::allocate(_M_get_allocator(), __capacity + 1);
    }





  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::input_iterator_tag)
      {
 size_type __len = 0;
 size_type __capacity = size_type(_S_local_capacity);

 while (__beg != __end && __len < __capacity)
   {
     _M_data()[__len++] = *__beg;
     ++__beg;
   }

 try
   {
     while (__beg != __end)
       {
  if (__len == __capacity)
    {

      __capacity = __len + 1;
      pointer __another = _M_create(__capacity, __len);
      this->_S_copy(__another, _M_data(), __len);
      _M_dispose();
      _M_data(__another);
      _M_capacity(__capacity);
    }
  _M_data()[__len++] = *__beg;
  ++__beg;
       }
   }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__len);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InIterator>
      void
      basic_string<_CharT, _Traits, _Alloc>::
      _M_construct(_InIterator __beg, _InIterator __end,
     std::forward_iterator_tag)
      {

 if (__gnu_cxx::__is_null_pointer(__beg) && __beg != __end)
   std::__throw_logic_error(("basic_string::" "_M_construct null not valid")
                                         );

 size_type __dnew = static_cast<size_type>(std::distance(__beg, __end));

 if (__dnew > size_type(_S_local_capacity))
   {
     _M_data(_M_create(__dnew, size_type(0)));
     _M_capacity(__dnew);
   }


 try
   { this->_S_copy_chars(_M_data(), __beg, __end); }
 catch(...)
   {
     _M_dispose();
     throw;
   }

 _M_set_length(__dnew);
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_construct(size_type __n, _CharT __c)
    {
      if (__n > size_type(_S_local_capacity))
 {
   _M_data(_M_create(__n, size_type(0)));
   _M_capacity(__n);
 }

      if (__n)
 this->_S_assign(_M_data(), __n, __c);

      _M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_assign(const basic_string& __str)
    {
      if (this != &__str)
 {
   const size_type __rsize = __str.length();
   const size_type __capacity = capacity();

   if (__rsize > __capacity)
     {
       size_type __new_capacity = __rsize;
       pointer __tmp = _M_create(__new_capacity, __capacity);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__new_capacity);
     }

   if (__rsize)
     this->_S_copy(_M_data(), __str._M_data(), __rsize);

   _M_set_length(__rsize);
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    reserve(size_type __res)
    {

      if (__res < length())
 __res = length();

      const size_type __capacity = capacity();
      if (__res != __capacity)
 {
   if (__res > __capacity
       || __res > size_type(_S_local_capacity))
     {
       pointer __tmp = _M_create(__res, __capacity);
       this->_S_copy(__tmp, _M_data(), length() + 1);
       _M_dispose();
       _M_data(__tmp);
       _M_capacity(__res);
     }
   else if (!_M_is_local())
     {
       this->_S_copy(_M_local_data(), _M_data(), length() + 1);
       _M_destroy(__capacity);
       _M_data(_M_local_data());
     }
 }
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_mutate(size_type __pos, size_type __len1, const _CharT* __s,
       size_type __len2)
    {
      const size_type __how_much = length() - __pos - __len1;

      size_type __new_capacity = length() + __len2 - __len1;
      pointer __r = _M_create(__new_capacity, capacity());

      if (__pos)
 this->_S_copy(__r, _M_data(), __pos);
      if (__s && __len2)
 this->_S_copy(__r + __pos, __s, __len2);
      if (__how_much)
 this->_S_copy(__r + __pos + __len2,
        _M_data() + __pos + __len1, __how_much);

      _M_dispose();
      _M_data(__r);
      _M_capacity(__new_capacity);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    _M_erase(size_type __pos, size_type __n)
    {
      const size_type __how_much = length() - __pos - __n;

      if (__how_much && __n)
 this->_S_move(_M_data() + __pos, _M_data() + __pos + __n, __how_much);

      _M_set_length(length() - __n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    void
    basic_string<_CharT, _Traits, _Alloc>::
    resize(size_type __n, _CharT __c)
    {
      const size_type __size = this->size();
      if (__size < __n)
 this->append(__n - __size, __c);
      else if (__n < __size)
 this->_M_set_length(__n);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_append(const _CharT* __s, size_type __n)
    {
      const size_type __len = __n + this->size();

      if (__len <= this->capacity())
 {
   if (__n)
     this->_S_copy(this->_M_data() + this->size(), __s, __n);
 }
      else
 this->_M_mutate(this->size(), size_type(0), __s, __n);

      this->_M_set_length(__len);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    template<typename _InputIterator>
      basic_string<_CharT, _Traits, _Alloc>&
      basic_string<_CharT, _Traits, _Alloc>::
      _M_replace_dispatch(const_iterator __i1, const_iterator __i2,
     _InputIterator __k1, _InputIterator __k2,
     std::__false_type)
      {
 const basic_string __s(__k1, __k2);
 const size_type __n1 = __i2 - __i1;
 return _M_replace(__i1 - begin(), __n1, __s._M_data(),
     __s.size());
      }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace_aux(size_type __pos1, size_type __n1, size_type __n2,
     _CharT __c)
    {
      _M_check_length(__n1, __n2, "basic_string::_M_replace_aux");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __n2 - __n1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos1;

   const size_type __how_much = __old_size - __pos1 - __n1;
   if (__how_much && __n1 != __n2)
     this->_S_move(__p + __n2, __p + __n1, __how_much);
 }
      else
 this->_M_mutate(__pos1, __n1, 0, __n2);

      if (__n2)
 this->_S_assign(this->_M_data() + __pos1, __n2, __c);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>&
    basic_string<_CharT, _Traits, _Alloc>::
    _M_replace(size_type __pos, size_type __len1, const _CharT* __s,
        const size_type __len2)
    {
      _M_check_length(__len1, __len2, "basic_string::_M_replace");

      const size_type __old_size = this->size();
      const size_type __new_size = __old_size + __len2 - __len1;

      if (__new_size <= this->capacity())
 {
   pointer __p = this->_M_data() + __pos;

   const size_type __how_much = __old_size - __pos - __len1;
   if (_M_disjunct(__s))
     {
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2)
  this->_S_copy(__p, __s, __len2);
     }
   else
     {

       if (__len2 && __len2 <= __len1)
  this->_S_move(__p, __s, __len2);
       if (__how_much && __len1 != __len2)
  this->_S_move(__p + __len2, __p + __len1, __how_much);
       if (__len2 > __len1)
  {
    if (__s + __len2 <= __p + __len1)
      this->_S_move(__p, __s, __len2);
    else if (__s >= __p + __len1)
      this->_S_copy(__p, __s + __len2 - __len1, __len2);
    else
      {
        const size_type __nleft = (__p + __len1) - __s;
        this->_S_move(__p, __s, __nleft);
        this->_S_copy(__p + __nleft, __p + __len2,
        __len2 - __nleft);
      }
  }
     }
 }
      else
 this->_M_mutate(__pos, __len1, __s, __len2);

      this->_M_set_length(__new_size);
      return *this;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    copy(_CharT* __s, size_type __n, size_type __pos) const
    {
      _M_check(__pos, "basic_string::copy");
      __n = _M_limit(__pos, __n);
      ;
      if (__n)
 _S_copy(__s, _M_data() + __pos, __n);

      return __n;
    }
# 1155 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.tcc" 3
  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(const _CharT* __lhs,
       const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      ;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      const __size_type __len = _Traits::length(__lhs);
      __string_type __str;
      __str.reserve(__len + __rhs.size());
      __str.append(__lhs, __len);
      __str.append(__rhs);
      return __str;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_string<_CharT, _Traits, _Alloc>
    operator+(_CharT __lhs, const basic_string<_CharT, _Traits, _Alloc>& __rhs)
    {
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __string_type::size_type __size_type;
      __string_type __str;
      const __size_type __len = __rhs.size();
      __str.reserve(__len + 1);
      __str.append(__size_type(1), __lhs);
      __str.append(__rhs);
      return __str;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();

      if (__n == 0)
 return __pos <= __size ? __pos : npos;
      if (__pos >= __size)
 return npos;

      const _CharT __elem0 = __s[0];
      const _CharT* const __data = data();
      const _CharT* __first = __data + __pos;
      const _CharT* const __last = __data + __size;
      size_type __len = __size - __pos;

      while (__len >= __n)
 {

   __first = traits_type::find(__first, __len - __n + 1, __elem0);
   if (!__first)
     return npos;



   if (traits_type::compare(__first, __s, __n) == 0)
     return __first - __data;
   __len = __last - ++__first;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find(_CharT __c, size_type __pos) const noexcept
    {
      size_type __ret = npos;
      const size_type __size = this->size();
      if (__pos < __size)
 {
   const _CharT* __data = _M_data();
   const size_type __n = __size - __pos;
   const _CharT* __p = traits_type::find(__data + __pos, __n, __c);
   if (__p)
     __ret = __p - __data;
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      const size_type __size = this->size();
      if (__n <= __size)
 {
   __pos = std::min(size_type(__size - __n), __pos);
   const _CharT* __data = _M_data();
   do
     {
       if (traits_type::compare(__data + __pos, __s, __n) == 0)
  return __pos;
     }
   while (__pos-- > 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    rfind(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   for (++__size; __size-- > 0; )
     if (traits_type::eq(_M_data()[__size], __c))
       return __size;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __n && __pos < this->size(); ++__pos)
 {
   const _CharT* __p = traits_type::find(__s, __n, _M_data()[__pos]);
   if (__p)
     return __pos;
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size && __n)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size-- != 0);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::find(__s, __n, _M_data()[__pos]))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_first_not_of(_CharT __c, size_type __pos) const noexcept
    {
      for (; __pos < this->size(); ++__pos)
 if (!traits_type::eq(_M_data()[__pos], __c))
   return __pos;
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(const _CharT* __s, size_type __pos, size_type __n) const
    noexcept
    {
      ;
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::find(__s, __n, _M_data()[__size]))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    typename basic_string<_CharT, _Traits, _Alloc>::size_type
    basic_string<_CharT, _Traits, _Alloc>::
    find_last_not_of(_CharT __c, size_type __pos) const noexcept
    {
      size_type __size = this->size();
      if (__size)
 {
   if (--__size > __pos)
     __size = __pos;
   do
     {
       if (!traits_type::eq(_M_data()[__size], __c))
  return __size;
     }
   while (__size--);
 }
      return npos;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n, const basic_string& __str) const
    {
      _M_check(__pos, "basic_string::compare");
      __n = _M_limit(__pos, __n);
      const size_type __osize = __str.size();
      const size_type __len = std::min(__n, __osize);
      int __r = traits_type::compare(_M_data() + __pos, __str.data(), __len);
      if (!__r)
 __r = _S_compare(__n, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(size_type __pos1, size_type __n1, const basic_string& __str,
     size_type __pos2, size_type __n2) const
    {
      _M_check(__pos1, "basic_string::compare");
      __str._M_check(__pos2, "basic_string::compare");
      __n1 = _M_limit(__pos1, __n1);
      __n2 = __str._M_limit(__pos2, __n2);
      const size_type __len = std::min(__n1, __n2);
      int __r = traits_type::compare(_M_data() + __pos1,
         __str.data() + __pos2, __len);
      if (!__r)
 __r = _S_compare(__n1, __n2);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string<_CharT, _Traits, _Alloc>::
    compare(const _CharT* __s) const noexcept
    {
      ;
      const size_type __size = this->size();
      const size_type __osize = traits_type::length(__s);
      const size_type __len = std::min(__size, __osize);
      int __r = traits_type::compare(_M_data(), __s, __len);
      if (!__r)
 __r = _S_compare(__size, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string <_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n1, const _CharT* __s) const
    {
      ;
      _M_check(__pos, "basic_string::compare");
      __n1 = _M_limit(__pos, __n1);
      const size_type __osize = traits_type::length(__s);
      const size_type __len = std::min(__n1, __osize);
      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
      if (!__r)
 __r = _S_compare(__n1, __osize);
      return __r;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    int
    basic_string <_CharT, _Traits, _Alloc>::
    compare(size_type __pos, size_type __n1, const _CharT* __s,
     size_type __n2) const
    {
      ;
      _M_check(__pos, "basic_string::compare");
      __n1 = _M_limit(__pos, __n1);
      const size_type __len = std::min(__n1, __n2);
      int __r = traits_type::compare(_M_data() + __pos, __s, __len);
      if (!__r)
 __r = _S_compare(__n1, __n2);
      return __r;
    }


  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in,
        basic_string<_CharT, _Traits, _Alloc>& __str)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;
      typedef ctype<_CharT> __ctype_type;
      typedef typename __ctype_type::ctype_base __ctype_base;

      __size_type __extracted = 0;
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, false);
      if (__cerb)
 {
   try
     {

       __str.erase();
       _CharT __buf[128];
       __size_type __len = 0;
       const streamsize __w = __in.width();
       const __size_type __n = __w > 0 ? static_cast<__size_type>(__w)
                                : __str.max_size();
       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !__ct.is(__ctype_base::space,
     _Traits::to_char_type(__c)))
  {
    if (__len == sizeof(__buf) / sizeof(_CharT))
      {
        __str.append(__buf, sizeof(__buf) / sizeof(_CharT));
        __len = 0;
      }
    __buf[__len++] = _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }
       __str.append(__buf, __len);

       if (_Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       __in.width(0);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }

      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    basic_istream<_CharT, _Traits>&
    getline(basic_istream<_CharT, _Traits>& __in,
     basic_string<_CharT, _Traits, _Alloc>& __str, _CharT __delim)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_string<_CharT, _Traits, _Alloc> __string_type;
      typedef typename __istream_type::ios_base __ios_base;
      typedef typename __istream_type::int_type __int_type;
      typedef typename __string_type::size_type __size_type;

      __size_type __extracted = 0;
      const __size_type __n = __str.max_size();
      typename __ios_base::iostate __err = __ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, true);
      if (__cerb)
 {
   try
     {
       __str.erase();
       const __int_type __idelim = _Traits::to_int_type(__delim);
       const __int_type __eof = _Traits::eof();
       __int_type __c = __in.rdbuf()->sgetc();

       while (__extracted < __n
       && !_Traits::eq_int_type(__c, __eof)
       && !_Traits::eq_int_type(__c, __idelim))
  {
    __str += _Traits::to_char_type(__c);
    ++__extracted;
    __c = __in.rdbuf()->snextc();
  }

       if (_Traits::eq_int_type(__c, __eof))
  __err |= __ios_base::eofbit;
       else if (_Traits::eq_int_type(__c, __idelim))
  {
    ++__extracted;
    __in.rdbuf()->sbumpc();
  }
       else
  __err |= __ios_base::failbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(__ios_base::badbit);
       throw;
     }
   catch(...)
     {



       __in._M_setstate(__ios_base::badbit);
     }
 }
      if (!__extracted)
 __err |= __ios_base::failbit;
      if (__err)
 __in.setstate(__err);
      return __in;
    }
# 1607 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_string.tcc" 3
  extern template class basic_string<char>;







  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>;





  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&);




}
# 54 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\string" 2 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 2 3


namespace std
{

# 62 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
  class locale
  {
  public:


    typedef int category;


    class facet;
    class id;
    class _Impl;

    friend class facet;
    friend class _Impl;

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

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

    template<typename _Cache>
      friend struct __use_cache;
# 98 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    static const category none = 0;
    static const category ctype = 1L << 0;
    static const category numeric = 1L << 1;
    static const category collate = 1L << 2;
    static const category time = 1L << 3;
    static const category monetary = 1L << 4;
    static const category messages = 1L << 5;
    static const category all = (ctype | numeric | collate |
        time | monetary | messages);
# 117 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    locale() throw();
# 126 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    locale(const locale& __other) throw();
# 136 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    explicit
    locale(const char* __s);
# 151 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    locale(const locale& __base, const char* __s, category __cat);
# 162 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    explicit
    locale(const std::string& __s) : locale(__s.c_str()) { }
# 177 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    locale(const locale& __base, const std::string& __s, category __cat)
    : locale(__base, __s.c_str(), __cat) { }
# 192 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    locale(const locale& __base, const locale& __add, category __cat);
# 205 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    template<typename _Facet>
      locale(const locale& __other, _Facet* __f);


    ~locale() throw();
# 219 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    const locale&
    operator=(const locale& __other) throw();
# 234 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    template<typename _Facet>
      locale
      combine(const locale& __other) const;






    __attribute ((__abi_tag__ ("cxx11")))
    string
    name() const;
# 254 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    bool
    operator==(const locale& __other) const throw();







    bool
    operator!=(const locale& __other) const throw()
    { return !(this->operator==(__other)); }
# 282 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    template<typename _Char, typename _Traits, typename _Alloc>
      bool
      operator()(const basic_string<_Char, _Traits, _Alloc>& __s1,
   const basic_string<_Char, _Traits, _Alloc>& __s2) const;
# 298 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    static locale
    global(const locale& __loc);




    static const locale&
    classic();

  private:

    _Impl* _M_impl;


    static _Impl* _S_classic;


    static _Impl* _S_global;





    static const char* const* const _S_categories;
# 333 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    enum { _S_categories_size = 6 + 0 };


    static __gthread_once_t _S_once;


    explicit
    locale(_Impl*) throw();

    static void
    _S_initialize();

    static void
    _S_initialize_once() throw();

    static category
    _S_normalize_category(category);

    void
    _M_coalesce(const locale& __base, const locale& __add, category __cat);


    static const id* const _S_twinned_facets[];

  };
# 371 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
  class locale::facet
  {
  private:
    friend class locale;
    friend class locale::_Impl;

    mutable _Atomic_word _M_refcount;


    static __c_locale _S_c_locale;


    static const char _S_c_name[2];


    static __gthread_once_t _S_once;


    static void
    _S_initialize_once();

  protected:
# 402 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    explicit
    facet(size_t __refs = 0) throw() : _M_refcount(__refs ? 1 : 0)
    { }


    virtual
    ~facet();

    static void
    _S_create_c_locale(__c_locale& __cloc, const char* __s,
         __c_locale __old = 0);

    static __c_locale
    _S_clone_c_locale(__c_locale& __cloc) throw();

    static void
    _S_destroy_c_locale(__c_locale& __cloc);

    static __c_locale
    _S_lc_ctype_c_locale(__c_locale __cloc, const char* __s);



    static __c_locale
    _S_get_c_locale();

    __attribute__ ((__const__)) static const char*
    _S_get_c_name() throw();
# 438 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
    facet(const facet&) = delete;

    facet&
    operator=(const facet&) = delete;


  private:
    void
    _M_add_reference() const throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() const throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    const facet* _M_sso_shim(const id*) const;
    const facet* _M_cow_shim(const id*) const;

  protected:
    class __shim;
  };
# 483 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
  class locale::id
  {
  private:
    friend class locale;
    friend class locale::_Impl;

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

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




    mutable size_t _M_index;


    static _Atomic_word _S_refcount;

    void
    operator=(const id&);

    id(const id&);

  public:



    id() { }

    size_t
    _M_id() const throw();
  };



  class locale::_Impl
  {
  public:

    friend class locale;
    friend class locale::facet;

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

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

    template<typename _Cache>
      friend struct __use_cache;

  private:

    _Atomic_word _M_refcount;
    const facet** _M_facets;
    size_t _M_facets_size;
    const facet** _M_caches;
    char** _M_names;
    static const locale::id* const _S_id_ctype[];
    static const locale::id* const _S_id_numeric[];
    static const locale::id* const _S_id_collate[];
    static const locale::id* const _S_id_time[];
    static const locale::id* const _S_id_monetary[];
    static const locale::id* const _S_id_messages[];
    static const locale::id* const* const _S_facet_categories[];

    void
    _M_add_reference() throw()
    { __gnu_cxx::__atomic_add_dispatch(&_M_refcount, 1); }

    void
    _M_remove_reference() throw()
    {

      ;
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_refcount, -1) == 1)
 {
          ;
   try
     { delete this; }
   catch(...)
     { }
 }
    }

    _Impl(const _Impl&, size_t);
    _Impl(const char*, size_t);
    _Impl(size_t) throw();

   ~_Impl() throw();

    _Impl(const _Impl&);

    void
    operator=(const _Impl&);

    bool
    _M_check_same_name()
    {
      bool __ret = true;
      if (_M_names[1])

 for (size_t __i = 0; __ret && __i < _S_categories_size - 1; ++__i)
   __ret = __builtin_strcmp(_M_names[__i], _M_names[__i + 1]) == 0;
      return __ret;
    }

    void
    _M_replace_categories(const _Impl*, category);

    void
    _M_replace_category(const _Impl*, const locale::id* const*);

    void
    _M_replace_facet(const _Impl*, const locale::id*);

    void
    _M_install_facet(const locale::id*, const facet*);

    template<typename _Facet>
      void
      _M_init_facet(_Facet* __facet)
      { _M_install_facet(&_Facet::id, __facet); }

    template<typename _Facet>
      void
      _M_init_facet_unchecked(_Facet* __facet)
      {
 __facet->_M_add_reference();
 _M_facets[_Facet::id._M_id()] = __facet;
      }

    void
    _M_install_cache(const facet*, size_t);

    void _M_init_extra(facet**);
    void _M_init_extra(void*, void*, const char*, const char*);
  };
# 641 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
  template<typename _CharT>
    class __cxx11:: collate : public locale::facet
    {
    public:



      typedef _CharT char_type;
      typedef basic_string<_CharT> string_type;


    protected:


      __c_locale _M_c_locale_collate;

    public:

      static locale::id id;
# 668 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      explicit
      collate(size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_get_c_locale())
      { }
# 682 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      explicit
      collate(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_c_locale_collate(_S_clone_c_locale(__cloc))
      { }
# 699 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      int
      compare(const _CharT* __lo1, const _CharT* __hi1,
       const _CharT* __lo2, const _CharT* __hi2) const
      { return this->do_compare(__lo1, __hi1, __lo2, __hi2); }
# 718 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      string_type
      transform(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_transform(__lo, __hi); }
# 732 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      long
      hash(const _CharT* __lo, const _CharT* __hi) const
      { return this->do_hash(__lo, __hi); }


      int
      _M_compare(const _CharT*, const _CharT*) const throw();

      size_t
      _M_transform(_CharT*, const _CharT*, size_t) const throw();

  protected:

      virtual
      ~collate()
      { _S_destroy_c_locale(_M_c_locale_collate); }
# 761 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      virtual int
      do_compare(const _CharT* __lo1, const _CharT* __hi1,
   const _CharT* __lo2, const _CharT* __hi2) const;
# 775 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 3
      virtual string_type
      do_transform(const _CharT* __lo, const _CharT* __hi) const;
# 788 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.tcc" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.tcc" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.tcc" 3

namespace std
{


  template<typename _Facet>
    locale::
    locale(const locale& __other, _Facet* __f)
    {
      _M_impl = new _Impl(*__other._M_impl, 1);

      try
 { _M_impl->_M_install_facet(&_Facet::id, __f); }
      catch(...)
 {
   _M_impl->_M_remove_reference();
   throw;
 }
      delete [] _M_impl->_M_names[0];
      _M_impl->_M_names[0] = 0;
    }

  template<typename _Facet>
    locale
    locale::
    combine(const locale& __other) const
    {
      _Impl* __tmp = new _Impl(*_M_impl, 1);
      try
 {
   __tmp->_M_replace_facet(__other._M_impl, &_Facet::id);
 }
      catch(...)
 {
   __tmp->_M_remove_reference();
   throw;
 }
      return locale(__tmp);
    }

  template<typename _CharT, typename _Traits, typename _Alloc>
    bool
    locale::
    operator()(const basic_string<_CharT, _Traits, _Alloc>& __s1,
        const basic_string<_CharT, _Traits, _Alloc>& __s2) const
    {
      typedef std::collate<_CharT> __collate_type;
      const __collate_type& __collate = use_facet<__collate_type>(*this);
      return (__collate.compare(__s1.data(), __s1.data() + __s1.length(),
    __s2.data(), __s2.data() + __s2.length()) < 0);
    }
# 102 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.tcc" 3
  template<typename _Facet>
    bool
    has_facet(const locale& __loc) throw()
    {
      const size_t __i = _Facet::id._M_id();
      const locale::facet** __facets = __loc._M_impl->_M_facets;
      return (__i < __loc._M_impl->_M_facets_size

       && dynamic_cast<const _Facet*>(__facets[__i]));



    }
# 130 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.tcc" 3
  template<typename _Facet>
    const _Facet&
    use_facet(const locale& __loc)
    {
      const size_t __i = _Facet::id._M_id();
      const locale::facet** __facets = __loc._M_impl->_M_facets;
      if (__i >= __loc._M_impl->_M_facets_size || !__facets[__i])
        __throw_bad_cast();

      return dynamic_cast<const _Facet&>(*__facets[__i]);



    }



  template<typename _CharT>
    int
    collate<_CharT>::_M_compare(const _CharT*, const _CharT*) const throw ()
    { return 0; }


  template<typename _CharT>
    size_t
    collate<_CharT>::_M_transform(_CharT*, const _CharT*, size_t) const throw ()
    { return 0; }

  template<typename _CharT>
    int
    collate<_CharT>::
    do_compare(const _CharT* __lo1, const _CharT* __hi1,
        const _CharT* __lo2, const _CharT* __hi2) const
    {


      const string_type __one(__lo1, __hi1);
      const string_type __two(__lo2, __hi2);

      const _CharT* __p = __one.c_str();
      const _CharT* __pend = __one.data() + __one.length();
      const _CharT* __q = __two.c_str();
      const _CharT* __qend = __two.data() + __two.length();




      for (;;)
 {
   const int __res = _M_compare(__p, __q);
   if (__res)
     return __res;

   __p += char_traits<_CharT>::length(__p);
   __q += char_traits<_CharT>::length(__q);
   if (__p == __pend && __q == __qend)
     return 0;
   else if (__p == __pend)
     return -1;
   else if (__q == __qend)
     return 1;

   __p++;
   __q++;
 }
    }

  template<typename _CharT>
    typename collate<_CharT>::string_type
    collate<_CharT>::
    do_transform(const _CharT* __lo, const _CharT* __hi) const
    {
      string_type __ret;


      const string_type __str(__lo, __hi);

      const _CharT* __p = __str.c_str();
      const _CharT* __pend = __str.data() + __str.length();

      size_t __len = (__hi - __lo) * 2;

      _CharT* __c = new _CharT[__len];

      try
 {



   for (;;)
     {

       size_t __res = _M_transform(__c, __p, __len);


       if (__res >= __len)
  {
    __len = __res + 1;
    delete [] __c, __c = 0;
    __c = new _CharT[__len];
    __res = _M_transform(__c, __p, __len);
  }

       __ret.append(__c, __res);
       __p += char_traits<_CharT>::length(__p);
       if (__p == __pend)
  break;

       __p++;
       __ret.push_back(_CharT());
     }
 }
      catch(...)
 {
   delete [] __c;
   throw;
 }

      delete [] __c;

      return __ret;
    }

  template<typename _CharT>
    long
    collate<_CharT>::
    do_hash(const _CharT* __lo, const _CharT* __hi) const
    {
      unsigned long __val = 0;
      for (; __lo < __hi; ++__lo)
 __val =
   *__lo + ((__val << 7)
     | (__val >> (__gnu_cxx::__numeric_traits<unsigned long>::
    __digits - 7)));
      return static_cast<long>(__val);
    }




  extern template class collate<char>;
  extern template class collate_byname<char>;

  extern template
    const collate<char>&
    use_facet<collate<char> >(const locale&);

  extern template
    bool
    has_facet<collate<char> >(const locale&);


  extern template class collate<wchar_t>;
  extern template class collate_byname<wchar_t>;

  extern template
    const collate<wchar_t>&
    use_facet<collate<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<collate<wchar_t> >(const locale&);




}
# 852 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_classes.h" 2 3
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 2 3




# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 1 3
# 32 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 3
       
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 3






# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\error_constants.h" 1 3
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\error_constants.h" 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cerrno" 3
# 35 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\error_constants.h" 2 3

namespace std
{




  enum class errc
    {




      argument_list_too_long = 7,
      argument_out_of_domain = 33,
      bad_address = 14,
      bad_file_descriptor = 9,

      broken_pipe = 32,






      device_or_resource_busy = 16,
      directory_not_empty = 41,
      executable_format_error = 8,
      file_exists = 17,
      file_too_large = 27,
      filename_too_long = 38,
      function_not_supported = 40,


      illegal_byte_sequence = 42,
      inappropriate_io_control_operation = 25,
      interrupted = 4,
      invalid_argument = 22,
      invalid_seek = 29,
      io_error = 5,
      is_a_directory = 21,






      no_child_process = 10,


      no_lock_available = 39,




      no_space_on_device = 28,


      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_enough_memory = 12,






      operation_not_permitted = 1,






      permission_denied = 13,


      read_only_file_system = 30,
      resource_deadlock_would_occur = 36,
      resource_unavailable_try_again = 11,
      result_out_of_range = 34,






      too_many_files_open_in_system = 23,
      too_many_files_open = 24,
      too_many_links = 31






   };


}
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 2 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\stdexcept" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\stdexcept" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\stdexcept" 3




namespace std
{





  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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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(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*) ;

    virtual ~domain_error() noexcept;
  };


  class invalid_argument : public logic_error
  {
  public:
    explicit invalid_argument(const string& __arg) ;

    explicit invalid_argument(const char*) ;

    virtual ~invalid_argument() noexcept;
  };



  class length_error : public logic_error
  {
  public:
    explicit length_error(const string& __arg) ;

    explicit length_error(const char*) ;

    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*) ;

    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(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*) ;

    virtual ~range_error() noexcept;
  };


  class overflow_error : public runtime_error
  {
  public:
    explicit overflow_error(const string& __arg) ;

    explicit overflow_error(const char*) ;

    virtual ~overflow_error() noexcept;
  };


  class underflow_error : public runtime_error
  {
  public:
    explicit underflow_error(const string& __arg) ;

    explicit underflow_error(const char*) ;

    virtual ~underflow_error() noexcept;
  };




}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 2 3

namespace std
{


  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 { };
# 71 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 3
  inline namespace _V2 {


  class error_category
  {
  public:
    constexpr error_category() noexcept = default;

    virtual ~error_category();

    error_category(const error_category&) = delete;
    error_category& operator=(const error_category&) = delete;

    virtual const char*
    name() const noexcept = 0;






  private:
    __attribute ((__abi_tag__ ("cxx11")))
    virtual __cow_string
    _M_message(int) const;

  public:
    __attribute ((__abi_tag__ ("cxx11")))
    virtual string
    message(int) const = 0;
# 110 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 3
  public:
    virtual error_condition
    default_error_condition(int __i) const noexcept;

    virtual bool
    equivalent(int __i, const error_condition& __cond) const noexcept;

    virtual bool
    equivalent(const error_code& __code, int __i) const noexcept;

    bool
    operator<(const error_category& __other) const noexcept
    { return less<const error_category*>()(this, &__other); }

    bool
    operator==(const error_category& __other) const noexcept
    { return this == &__other; }

    bool
    operator!=(const error_category& __other) const noexcept
    { return this != &__other; }
  };


  __attribute__ ((__const__)) const error_category& system_category() noexcept;
  __attribute__ ((__const__)) const error_category& generic_category() noexcept;

  }

  error_code make_error_code(errc) noexcept;

  template<typename _Tp>
    struct hash;



  struct error_code
  {
    error_code() noexcept
    : _M_value(0), _M_cat(&system_category()) { }

    error_code(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }

    template<typename _ErrorCodeEnum, typename = typename
      enable_if<is_error_code_enum<_ErrorCodeEnum>::value>::type>
      error_code(_ErrorCodeEnum __e) noexcept
      { *this = make_error_code(__e); }

    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }

    void
    clear() noexcept
    { assign(0, system_category()); }


    template<typename _ErrorCodeEnum>
      typename enable_if<is_error_code_enum<_ErrorCodeEnum>::value,
    error_code&>::type
      operator=(_ErrorCodeEnum __e) noexcept
      { return *this = make_error_code(__e); }

    int
    value() const noexcept { return _M_value; }

    const error_category&
    category() const noexcept { return *_M_cat; }

    error_condition
    default_error_condition() const noexcept;

    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }

    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    friend class hash<error_code>;

    int _M_value;
    const error_category* _M_cat;
  };


  inline error_code
  make_error_code(errc __e) noexcept
  { return error_code(static_cast<int>(__e), generic_category()); }

  inline bool
  operator<(const error_code& __lhs, const error_code& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os, const error_code& __e)
    { return (__os << __e.category().name() << ':' << __e.value()); }

  error_condition make_error_condition(errc) noexcept;



  struct error_condition
  {
    error_condition() noexcept
    : _M_value(0), _M_cat(&generic_category()) { }

    error_condition(int __v, const error_category& __cat) noexcept
    : _M_value(__v), _M_cat(&__cat) { }

    template<typename _ErrorConditionEnum, typename = typename
  enable_if<is_error_condition_enum<_ErrorConditionEnum>::value>::type>
      error_condition(_ErrorConditionEnum __e) noexcept
      { *this = make_error_condition(__e); }

    void
    assign(int __v, const error_category& __cat) noexcept
    {
      _M_value = __v;
      _M_cat = &__cat;
    }


    template<typename _ErrorConditionEnum>
      typename enable_if<is_error_condition_enum
    <_ErrorConditionEnum>::value, error_condition&>::type
      operator=(_ErrorConditionEnum __e) noexcept
      { return *this = make_error_condition(__e); }

    void
    clear() noexcept
    { assign(0, generic_category()); }


    int
    value() const noexcept { return _M_value; }

    const error_category&
    category() const noexcept { return *_M_cat; }

    __attribute ((__abi_tag__ ("cxx11")))
    string
    message() const
    { return category().message(value()); }

    explicit operator bool() const noexcept
    { return _M_value != 0; }


  private:
    int _M_value;
    const error_category* _M_cat;
  };


  inline error_condition
  make_error_condition(errc __e) noexcept
  { return error_condition(static_cast<int>(__e), generic_category()); }

  inline bool
  operator<(const error_condition& __lhs,
     const error_condition& __rhs) noexcept
  {
    return (__lhs.category() < __rhs.category()
     || (__lhs.category() == __rhs.category()
  && __lhs.value() < __rhs.value()));
  }


  inline bool
  operator==(const error_code& __lhs, const error_code& __rhs) noexcept
  { return (__lhs.category() == __rhs.category()
     && __lhs.value() == __rhs.value()); }

  inline bool
  operator==(const error_code& __lhs, const error_condition& __rhs) noexcept
  {
    return (__lhs.category().equivalent(__lhs.value(), __rhs)
     || __rhs.category().equivalent(__lhs, __rhs.value()));
  }

  inline bool
  operator==(const error_condition& __lhs, const error_code& __rhs) noexcept
  {
    return (__rhs.category().equivalent(__rhs.value(), __lhs)
     || __lhs.category().equivalent(__rhs, __lhs.value()));
  }

  inline bool
  operator==(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  {
    return (__lhs.category() == __rhs.category()
     && __lhs.value() == __rhs.value());
  }

  inline bool
  operator!=(const error_code& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_code& __lhs, const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_condition& __lhs, const error_code& __rhs) noexcept
  { return !(__lhs == __rhs); }

  inline bool
  operator!=(const error_condition& __lhs,
      const error_condition& __rhs) noexcept
  { return !(__lhs == __rhs); }







  class system_error : public std::runtime_error
  {
  private:
    error_code _M_code;

  public:
    system_error(error_code __ec = error_code())
    : runtime_error(__ec.message()), _M_code(__ec) { }

    system_error(error_code __ec, const string& __what)
    : runtime_error(__what + ": " + __ec.message()), _M_code(__ec) { }

    system_error(error_code __ec, const char* __what)
    : runtime_error(__what + (": " + __ec.message())), _M_code(__ec) { }

    system_error(int __v, const error_category& __ecat, const char* __what)
    : system_error(error_code(__v, __ecat), __what) { }

    system_error(int __v, const error_category& __ecat)
    : runtime_error(error_code(__v, __ecat).message()),
      _M_code(__v, __ecat) { }

    system_error(int __v, const error_category& __ecat, const string& __what)
    : runtime_error(__what + ": " + error_code(__v, __ecat).message()),
      _M_code(__v, __ecat) { }

    virtual ~system_error() noexcept;

    const error_code&
    code() const noexcept { return _M_code; }
  };


}



namespace std
{





  template<>
    struct hash<error_code>
    : public __hash_base<size_t, error_code>
    {
      size_t
      operator()(const error_code& __e) const noexcept
      {
 const size_t __tmp = std::_Hash_impl::hash(__e._M_value);
 return std::_Hash_impl::__hash_combine(__e._M_cat, __tmp);
      }
    };
# 414 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\system_error" 3

}
# 47 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 2 3


namespace std
{






  enum _Ios_Fmtflags
    {
      _S_boolalpha = 1L << 0,
      _S_dec = 1L << 1,
      _S_fixed = 1L << 2,
      _S_hex = 1L << 3,
      _S_internal = 1L << 4,
      _S_left = 1L << 5,
      _S_oct = 1L << 6,
      _S_right = 1L << 7,
      _S_scientific = 1L << 8,
      _S_showbase = 1L << 9,
      _S_showpoint = 1L << 10,
      _S_showpos = 1L << 11,
      _S_skipws = 1L << 12,
      _S_unitbuf = 1L << 13,
      _S_uppercase = 1L << 14,
      _S_adjustfield = _S_left | _S_right | _S_internal,
      _S_basefield = _S_dec | _S_oct | _S_hex,
      _S_floatfield = _S_scientific | _S_fixed,
      _S_ios_fmtflags_end = 1L << 16,
      _S_ios_fmtflags_max = 0x7fffffff,
      _S_ios_fmtflags_min = ~0x7fffffff
    };

  inline constexpr _Ios_Fmtflags
  operator&(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator|(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator^(_Ios_Fmtflags __a, _Ios_Fmtflags __b)
  { return _Ios_Fmtflags(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Fmtflags
  operator~(_Ios_Fmtflags __a)
  { return _Ios_Fmtflags(~static_cast<int>(__a)); }

  inline const _Ios_Fmtflags&
  operator|=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a | __b; }

  inline const _Ios_Fmtflags&
  operator&=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a & __b; }

  inline const _Ios_Fmtflags&
  operator^=(_Ios_Fmtflags& __a, _Ios_Fmtflags __b)
  { return __a = __a ^ __b; }


  enum _Ios_Openmode
    {
      _S_app = 1L << 0,
      _S_ate = 1L << 1,
      _S_bin = 1L << 2,
      _S_in = 1L << 3,
      _S_out = 1L << 4,
      _S_trunc = 1L << 5,
      _S_ios_openmode_end = 1L << 16,
      _S_ios_openmode_max = 0x7fffffff,
      _S_ios_openmode_min = ~0x7fffffff
    };

  inline constexpr _Ios_Openmode
  operator&(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator|(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator^(_Ios_Openmode __a, _Ios_Openmode __b)
  { return _Ios_Openmode(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Openmode
  operator~(_Ios_Openmode __a)
  { return _Ios_Openmode(~static_cast<int>(__a)); }

  inline const _Ios_Openmode&
  operator|=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a | __b; }

  inline const _Ios_Openmode&
  operator&=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a & __b; }

  inline const _Ios_Openmode&
  operator^=(_Ios_Openmode& __a, _Ios_Openmode __b)
  { return __a = __a ^ __b; }


  enum _Ios_Iostate
    {
      _S_goodbit = 0,
      _S_badbit = 1L << 0,
      _S_eofbit = 1L << 1,
      _S_failbit = 1L << 2,
      _S_ios_iostate_end = 1L << 16,
      _S_ios_iostate_max = 0x7fffffff,
      _S_ios_iostate_min = ~0x7fffffff
    };

  inline constexpr _Ios_Iostate
  operator&(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) & static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator|(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) | static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator^(_Ios_Iostate __a, _Ios_Iostate __b)
  { return _Ios_Iostate(static_cast<int>(__a) ^ static_cast<int>(__b)); }

  inline constexpr _Ios_Iostate
  operator~(_Ios_Iostate __a)
  { return _Ios_Iostate(~static_cast<int>(__a)); }

  inline const _Ios_Iostate&
  operator|=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a | __b; }

  inline const _Ios_Iostate&
  operator&=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a & __b; }

  inline const _Ios_Iostate&
  operator^=(_Ios_Iostate& __a, _Ios_Iostate __b)
  { return __a = __a ^ __b; }


  enum _Ios_Seekdir
    {
      _S_beg = 0,
      _S_cur = 1,
      _S_end = 2,
      _S_ios_seekdir_end = 1L << 16
    };



  enum class io_errc { stream = 1 };

  template <> struct is_error_code_enum<io_errc> : public true_type { };

  const error_category& iostream_category() noexcept;

  inline error_code
  make_error_code(io_errc __e) noexcept
  { return error_code(static_cast<int>(__e), iostream_category()); }

  inline error_condition
  make_error_condition(io_errc __e) noexcept
  { return error_condition(static_cast<int>(__e), iostream_category()); }
# 228 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
  class ios_base
  {
# 246 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
  public:
# 255 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    class __attribute ((__abi_tag__ ("cxx11"))) failure : public system_error
    {
    public:
      explicit
      failure(const string& __str);


      explicit
      failure(const string&, const error_code&);

      explicit
      failure(const char*, const error_code& = io_errc::stream);


      virtual
      ~failure() throw();

      virtual const char*
      what() const throw();
    };
# 323 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    typedef _Ios_Fmtflags fmtflags;


    static const fmtflags boolalpha = _S_boolalpha;


    static const fmtflags dec = _S_dec;


    static const fmtflags fixed = _S_fixed;


    static const fmtflags hex = _S_hex;




    static const fmtflags internal = _S_internal;



    static const fmtflags left = _S_left;


    static const fmtflags oct = _S_oct;



    static const fmtflags right = _S_right;


    static const fmtflags scientific = _S_scientific;



    static const fmtflags showbase = _S_showbase;



    static const fmtflags showpoint = _S_showpoint;


    static const fmtflags showpos = _S_showpos;


    static const fmtflags skipws = _S_skipws;


    static const fmtflags unitbuf = _S_unitbuf;



    static const fmtflags uppercase = _S_uppercase;


    static const fmtflags adjustfield = _S_adjustfield;


    static const fmtflags basefield = _S_basefield;


    static const fmtflags floatfield = _S_floatfield;
# 398 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    typedef _Ios_Iostate iostate;



    static const iostate badbit = _S_badbit;


    static const iostate eofbit = _S_eofbit;




    static const iostate failbit = _S_failbit;


    static const iostate goodbit = _S_goodbit;
# 429 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    typedef _Ios_Openmode openmode;


    static const openmode app = _S_app;


    static const openmode ate = _S_ate;




    static const openmode binary = _S_bin;


    static const openmode in = _S_in;


    static const openmode out = _S_out;


    static const openmode trunc = _S_trunc;
# 461 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;



    typedef int io_state;
    typedef int open_mode;
    typedef int seek_dir;

    typedef std::streampos streampos;
    typedef std::streamoff streamoff;
# 489 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    enum event
    {
      erase_event,
      imbue_event,
      copyfmt_event
    };
# 506 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    typedef void (*event_callback) (event __e, ios_base& __b, int __i);
# 518 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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();

    private:
      static _Atomic_word _S_refcount;
      static bool _S_synced_with_stdio;
    };






    fmtflags
    flags() const
    { return _M_flags; }
# 631 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    fmtflags
    flags(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags = __fmtfl;
      return __old;
    }
# 647 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    fmtflags
    setf(fmtflags __fmtfl)
    {
      fmtflags __old = _M_flags;
      _M_flags |= __fmtfl;
      return __old;
    }
# 664 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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; }
# 690 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 741 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    static bool
    sync_with_stdio(bool __sync = true);
# 753 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    locale
    imbue(const locale& __loc) throw();
# 764 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    locale
    getloc() const
    { return _M_ios_locale; }
# 775 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    const locale&
    _M_getloc() const
    { return _M_ios_locale; }
# 794 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    static int
    xalloc() throw();
# 810 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    long&
    iword(int __ix)
    {
      _Words& __word = (__ix < _M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, true);
      return __word._M_iword;
    }
# 831 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    void*&
    pword(int __ix)
    {
      _Words& __word = (__ix < _M_word_size)
   ? _M_word[__ix] : _M_grow_words(__ix, false);
      return __word._M_pword;
    }
# 848 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
    virtual ~ios_base();

  protected:
    ios_base() throw ();
# 862 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ios_base.h" 3
  public:
    ios_base(const ios_base&) = delete;

    ios_base&
    operator=(const ios_base&) = delete;

  protected:
    void
    _M_move(ios_base&) noexcept;

    void
    _M_swap(ios_base& __rhs) noexcept;

  };



  inline ios_base&
  boolalpha(ios_base& __base)
  {
    __base.setf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  noboolalpha(ios_base& __base)
  {
    __base.unsetf(ios_base::boolalpha);
    return __base;
  }


  inline ios_base&
  showbase(ios_base& __base)
  {
    __base.setf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  noshowbase(ios_base& __base)
  {
    __base.unsetf(ios_base::showbase);
    return __base;
  }


  inline ios_base&
  showpoint(ios_base& __base)
  {
    __base.setf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  noshowpoint(ios_base& __base)
  {
    __base.unsetf(ios_base::showpoint);
    return __base;
  }


  inline ios_base&
  showpos(ios_base& __base)
  {
    __base.setf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  noshowpos(ios_base& __base)
  {
    __base.unsetf(ios_base::showpos);
    return __base;
  }


  inline ios_base&
  skipws(ios_base& __base)
  {
    __base.setf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  noskipws(ios_base& __base)
  {
    __base.unsetf(ios_base::skipws);
    return __base;
  }


  inline ios_base&
  uppercase(ios_base& __base)
  {
    __base.setf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  nouppercase(ios_base& __base)
  {
    __base.unsetf(ios_base::uppercase);
    return __base;
  }


  inline ios_base&
  unitbuf(ios_base& __base)
  {
     __base.setf(ios_base::unitbuf);
     return __base;
  }


  inline ios_base&
  nounitbuf(ios_base& __base)
  {
     __base.unsetf(ios_base::unitbuf);
     return __base;
  }



  inline ios_base&
  internal(ios_base& __base)
  {
     __base.setf(ios_base::internal, ios_base::adjustfield);
     return __base;
  }


  inline ios_base&
  left(ios_base& __base)
  {
    __base.setf(ios_base::left, ios_base::adjustfield);
    return __base;
  }


  inline ios_base&
  right(ios_base& __base)
  {
    __base.setf(ios_base::right, ios_base::adjustfield);
    return __base;
  }



  inline ios_base&
  dec(ios_base& __base)
  {
    __base.setf(ios_base::dec, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  hex(ios_base& __base)
  {
    __base.setf(ios_base::hex, ios_base::basefield);
    return __base;
  }


  inline ios_base&
  oct(ios_base& __base)
  {
    __base.setf(ios_base::oct, ios_base::basefield);
    return __base;
  }



  inline ios_base&
  fixed(ios_base& __base)
  {
    __base.setf(ios_base::fixed, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  scientific(ios_base& __base)
  {
    __base.setf(ios_base::scientific, ios_base::floatfield);
    return __base;
  }






  inline ios_base&
  hexfloat(ios_base& __base)
  {
    __base.setf(ios_base::fixed | ios_base::scientific, ios_base::floatfield);
    return __base;
  }


  inline ios_base&
  defaultfloat(ios_base& __base)
  {
    __base.unsetf(ios_base::floatfield);
    return __base;
  }



}
# 43 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
# 45 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
namespace std
{




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>*,
     basic_streambuf<_CharT, _Traits>*, bool&);
# 121 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
  template<typename _CharT, typename _Traits>
    class basic_streambuf
    {
    public:






      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename traits_type::int_type int_type;
      typedef typename traits_type::pos_type pos_type;
      typedef typename traits_type::off_type off_type;




      typedef basic_streambuf<char_type, traits_type> __streambuf_type;


      friend class basic_ios<char_type, traits_type>;
      friend class basic_istream<char_type, traits_type>;
      friend class basic_ostream<char_type, traits_type>;
      friend class istreambuf_iterator<char_type, traits_type>;
      friend class ostreambuf_iterator<char_type, traits_type>;

      friend streamsize
      __copy_streambufs_eof<>(basic_streambuf*, basic_streambuf*, bool&);

      template<bool _IsMove, typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
        __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
      istreambuf_iterator<_CharT2> >::__type
        find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
        friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
        advance(istreambuf_iterator<_CharT2>&, _Distance);

      template<typename _CharT2, typename _Traits2>
        friend basic_istream<_CharT2, _Traits2>&
        operator>>(basic_istream<_CharT2, _Traits2>&, _CharT2*);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        operator>>(basic_istream<_CharT2, _Traits2>&,
     basic_string<_CharT2, _Traits2, _Alloc>&);

      template<typename _CharT2, typename _Traits2, typename _Alloc>
        friend basic_istream<_CharT2, _Traits2>&
        getline(basic_istream<_CharT2, _Traits2>&,
  basic_string<_CharT2, _Traits2, _Alloc>&, _CharT2);

    protected:







      char_type* _M_in_beg;
      char_type* _M_in_cur;
      char_type* _M_in_end;
      char_type* _M_out_beg;
      char_type* _M_out_cur;
      char_type* _M_out_end;


      locale _M_buf_locale;

  public:

      virtual
      ~basic_streambuf()
      { }
# 215 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      locale
      pubimbue(const locale& __loc)
      {
 locale __tmp(this->getloc());
 this->imbue(__loc);
 _M_buf_locale = __loc;
 return __tmp;
      }
# 232 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      locale
      getloc() const
      { return _M_buf_locale; }
# 245 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      basic_streambuf*
      pubsetbuf(char_type* __s, streamsize __n)
      { return this->setbuf(__s, __n); }
# 257 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      streamsize
      in_avail()
      {
 const streamsize __ret = this->egptr() - this->gptr();
 return __ret ? __ret : this->showmanyc();
      }
# 304 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      streamsize
      sgetn(char_type* __s, streamsize __n)
      { return this->xsgetn(__s, __n); }
# 378 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      streamsize
      sputn(const char_type* __s, streamsize __n)
      { return this->xsputn(__s, __n); }

    protected:
# 470 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      void
      gbump(int __n) { _M_in_cur += __n; }
# 515 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      void
      pbump(int __n) { _M_out_cur += __n; }
# 561 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      void
      setp(char_type* __pbeg, char_type* __pend)
      {
 _M_out_beg = _M_out_cur = __pbeg;
 _M_out_end = __pend;
      }
# 582 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual void
      imbue(const locale& __loc __attribute__ ((__unused__)))
      { }
# 597 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual basic_streambuf<char_type,_Traits>*
      setbuf(char_type*, streamsize)
      { return this; }
# 608 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual pos_type
      seekpos(pos_type,
       ios_base::openmode = ios_base::in | ios_base::out)
      { return pos_type(off_type(-1)); }
# 633 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual int
      sync() { return 0; }
# 655 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual streamsize
      showmanyc() { return 0; }
# 671 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual streamsize
      xsgetn(char_type* __s, streamsize __n);
# 693 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual int_type
      underflow()
      { return traits_type::eof(); }
# 706 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual int_type
      pbackfail(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }
# 748 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual streamsize
      xsputn(const char_type* __s, streamsize __n);
# 774 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      virtual int_type
      overflow(int_type __c __attribute__ ((__unused__)) = traits_type::eof())
      { return traits_type::eof(); }



    public:
# 790 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 3
      [[__deprecated__("stossc is deprecated, use sbumpc instead")]]

      void
      stossc()
      {
 if (this->gptr() < this->egptr())
   this->gbump(1);
 else
   this->uflow();
      }



      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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf.tcc" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf.tcc" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf.tcc" 3

namespace std
{


  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsgetn(char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->egptr() - this->gptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(__s, this->gptr(), __len);
       __ret += __len;
       __s += __len;
       this->__safe_gbump(__len);
     }

   if (__ret < __n)
     {
       const int_type __c = this->uflow();
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    traits_type::assign(*__s++, traits_type::to_char_type(__c));
    ++__ret;
  }
       else
  break;
     }
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    streamsize
    basic_streambuf<_CharT, _Traits>::
    xsputn(const char_type* __s, streamsize __n)
    {
      streamsize __ret = 0;
      while (__ret < __n)
 {
   const streamsize __buf_len = this->epptr() - this->pptr();
   if (__buf_len)
     {
       const streamsize __remaining = __n - __ret;
       const streamsize __len = std::min(__buf_len, __remaining);
       traits_type::copy(this->pptr(), __s, __len);
       __ret += __len;
       __s += __len;
       this->__safe_pbump(__len);
     }

   if (__ret < __n)
     {
       int_type __c = this->overflow(traits_type::to_int_type(*__s));
       if (!traits_type::eq_int_type(__c, traits_type::eof()))
  {
    ++__ret;
    ++__s;
  }
       else
  break;
     }
 }
      return __ret;
    }




  template<typename _CharT, typename _Traits>
    streamsize
    __copy_streambufs_eof(basic_streambuf<_CharT, _Traits>* __sbin,
     basic_streambuf<_CharT, _Traits>* __sbout,
     bool& __ineof)
    {
      streamsize __ret = 0;
      __ineof = true;
      typename _Traits::int_type __c = __sbin->sgetc();
      while (!_Traits::eq_int_type(__c, _Traits::eof()))
 {
   __c = __sbout->sputc(_Traits::to_char_type(__c));
   if (_Traits::eq_int_type(__c, _Traits::eof()))
     {
       __ineof = false;
       break;
     }
   ++__ret;
   __c = __sbin->snextc();
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    inline streamsize
    __copy_streambufs(basic_streambuf<_CharT, _Traits>* __sbin,
        basic_streambuf<_CharT, _Traits>* __sbout)
    {
      bool __ineof;
      return __copy_streambufs_eof(__sbin, __sbout, __ineof);
    }




  extern template class basic_streambuf<char>;
  extern template
    streamsize
    __copy_streambufs(basic_streambuf<char>*,
        basic_streambuf<char>*);
  extern template
    streamsize
    __copy_streambufs_eof(basic_streambuf<char>*,
     basic_streambuf<char>*, bool&);


  extern template class basic_streambuf<wchar_t>;
  extern template
    streamsize
    __copy_streambufs(basic_streambuf<wchar_t>*,
        basic_streambuf<wchar_t>*);
  extern template
    streamsize
    __copy_streambufs_eof(basic_streambuf<wchar_t>*,
     basic_streambuf<wchar_t>*, bool&);




}
# 863 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\streambuf" 2 3
# 44 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3



# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwctype" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwctype" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cwctype" 3
# 80 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 1 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 3
       
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\cctype" 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\ctype_base.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\ctype_base.h" 3
namespace std
{



  struct ctype_base
  {

    typedef const int* __to_type;



    typedef unsigned short mask;
    static const mask upper = 1 << 0;
    static const mask lower = 1 << 1;
    static const mask alpha = 1 << 2;
    static const mask digit = 1 << 3;
    static const mask xdigit = 1 << 4;
    static const mask space = 1 << 5;
    static const mask print = 1 << 6;
    static const mask graph = (1 << 2) | (1 << 3) | (1 << 9);
    static const mask cntrl = 1 << 8;
    static const mask punct = 1 << 9;
    static const mask alnum = (1 << 2) | (1 << 3);

    static const mask blank = 1 << 10;

  };


}
# 42 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3






# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf_iterator.h" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf_iterator.h" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf_iterator.h" 3




namespace std
{

# 49 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf_iterator.h" 3
  template<typename _CharT, typename _Traits>
    class istreambuf_iterator
    : public iterator<input_iterator_tag, _CharT, typename _Traits::off_type,
        _CharT*,


        _CharT>



    {
    public:



      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef typename _Traits::int_type int_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_istream<_CharT, _Traits> istream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

      template<bool _IsMove, typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            _CharT2*>::__type
 __copy_move_a2(istreambuf_iterator<_CharT2>,
         istreambuf_iterator<_CharT2>, _CharT2*);

      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        istreambuf_iterator<_CharT2> >::__type
 find(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      const _CharT2&);

      template<typename _CharT2, typename _Distance>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
            void>::__type
 advance(istreambuf_iterator<_CharT2>&, _Distance);

    private:







      mutable streambuf_type* _M_sbuf;
      int_type _M_c;

    public:

      constexpr istreambuf_iterator() noexcept
      : _M_sbuf(0), _M_c(traits_type::eof()) { }


      istreambuf_iterator(const istreambuf_iterator&) noexcept = default;

      ~istreambuf_iterator() = default;



      istreambuf_iterator(istream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_c(traits_type::eof()) { }


      istreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_c(traits_type::eof()) { }




      char_type
      operator*() const
      {
 int_type __c = _M_get();
# 139 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\streambuf_iterator.h" 3
 return traits_type::to_char_type(__c);
      }


      istreambuf_iterator&
      operator++()
      {



                        ;

 _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return *this;
      }


      istreambuf_iterator
      operator++(int)
      {



                        ;

 istreambuf_iterator __old = *this;
 __old._M_c = _M_sbuf->sbumpc();
 _M_c = traits_type::eof();
 return __old;
      }





      bool
      equal(const istreambuf_iterator& __b) const
      { return _M_at_eof() == __b._M_at_eof(); }

    private:
      int_type
      _M_get() const
      {
 int_type __ret = _M_c;
 if (_M_sbuf && _S_is_eof(__ret) && _S_is_eof(__ret = _M_sbuf->sgetc()))
   _M_sbuf = 0;
 return __ret;
      }

      bool
      _M_at_eof() const
      { return _S_is_eof(_M_get()); }

      static bool
      _S_is_eof(int_type __c)
      {
 const int_type __eof = traits_type::eof();
 return traits_type::eq_int_type(__c, __eof);
      }
    };

  template<typename _CharT, typename _Traits>
    inline bool
    operator==(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return __a.equal(__b); }

  template<typename _CharT, typename _Traits>
    inline bool
    operator!=(const istreambuf_iterator<_CharT, _Traits>& __a,
        const istreambuf_iterator<_CharT, _Traits>& __b)
    { return !__a.equal(__b); }


  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    public:



      typedef _CharT char_type;
      typedef _Traits traits_type;
      typedef basic_streambuf<_CharT, _Traits> streambuf_type;
      typedef basic_ostream<_CharT, _Traits> ostream_type;


      template<typename _CharT2>
 friend typename __gnu_cxx::__enable_if<__is_char<_CharT2>::__value,
        ostreambuf_iterator<_CharT2> >::__type
 copy(istreambuf_iterator<_CharT2>, istreambuf_iterator<_CharT2>,
      ostreambuf_iterator<_CharT2>);

    private:
      streambuf_type* _M_sbuf;
      bool _M_failed;

    public:

      ostreambuf_iterator(ostream_type& __s) noexcept
      : _M_sbuf(__s.rdbuf()), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator(streambuf_type* __s) noexcept
      : _M_sbuf(__s), _M_failed(!_M_sbuf) { }


      ostreambuf_iterator&
      operator=(_CharT __c)
      {
 if (!_M_failed &&
     _Traits::eq_int_type(_M_sbuf->sputc(__c), _Traits::eof()))
   _M_failed = true;
 return *this;
      }


      ostreambuf_iterator&
      operator*()
      { return *this; }


      ostreambuf_iterator&
      operator++(int)
      { return *this; }


      ostreambuf_iterator&
      operator++()
      { return *this; }


      bool
      failed() const noexcept
      { return _M_failed; }

      ostreambuf_iterator&
      _M_put(const _CharT* __ws, streamsize __len)
      {
 if (__builtin_expect(!_M_failed, true)
     && __builtin_expect(this->_M_sbuf->sputn(__ws, __len) != __len,
    false))
   _M_failed = true;
 return *this;
      }
    };


  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    copy(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last,
  ostreambuf_iterator<_CharT> __result)
    {
      if (__first._M_sbuf && !__last._M_sbuf && !__result._M_failed)
 {
   bool __ineof;
   __copy_streambufs_eof(__first._M_sbuf, __result._M_sbuf, __ineof);
   if (!__ineof)
     __result._M_failed = true;
 }
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(_CharT* __first, _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        ostreambuf_iterator<_CharT> >::__type
    __copy_move_a2(const _CharT* __first, const _CharT* __last,
     ostreambuf_iterator<_CharT> __result)
    {
      const streamsize __num = __last - __first;
      if (__num > 0)
 __result._M_put(__first, __num);
      return __result;
    }

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT> __first,
     istreambuf_iterator<_CharT> __last, _CharT* __result)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, traits_type::eof()))
     {
       const streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    traits_type::copy(__result, __sb->gptr(), __n);
    __sb->__safe_gbump(__n);
    __result += __n;
    __c = __sb->underflow();
  }
       else
  {
    *__result++ = traits_type::to_char_type(__c);
    __c = __sb->snextc();
  }
     }
 }
      return __result;
    }

  template<typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
          istreambuf_iterator<_CharT> >::__type
    find(istreambuf_iterator<_CharT> __first,
  istreambuf_iterator<_CharT> __last, const _CharT& __val)
    {
      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      if (__first._M_sbuf && !__last._M_sbuf)
 {
   const int_type __ival = traits_type::to_int_type(__val);
   streambuf_type* __sb = __first._M_sbuf;
   int_type __c = __sb->sgetc();
   while (!traits_type::eq_int_type(__c, __eof)
   && !traits_type::eq_int_type(__c, __ival))
     {
       streamsize __n = __sb->egptr() - __sb->gptr();
       if (__n > 1)
  {
    const _CharT* __p = traits_type::find(__sb->gptr(),
       __n, __val);
    if (__p)
      __n = __p - __sb->gptr();
    __sb->__safe_gbump(__n);
    __c = __sb->sgetc();
  }
       else
  __c = __sb->snextc();
     }

   __first._M_c = __eof;
 }

      return __first;
    }

  template<typename _CharT, typename _Distance>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        void>::__type
    advance(istreambuf_iterator<_CharT>& __i, _Distance __n)
    {
      if (__n == 0)
 return;

      ;
     

                           ;

      typedef istreambuf_iterator<_CharT> __is_iterator_type;
      typedef typename __is_iterator_type::traits_type traits_type;
      typedef typename __is_iterator_type::streambuf_type streambuf_type;
      typedef typename traits_type::int_type int_type;
      const int_type __eof = traits_type::eof();

      streambuf_type* __sb = __i._M_sbuf;
      while (__n > 0)
 {
   streamsize __size = __sb->egptr() - __sb->gptr();
   if (__size > __n)
     {
       __sb->__safe_gbump(__n);
       break;
     }

   __sb->__safe_gbump(__size);
   __n -= __size;
   if (traits_type::eq_int_type(__sb->underflow(), __eof))
     {
      

                      ;
       break;
     }
 }

      __i._M_c = __eof;
    }




}
# 49 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3

namespace std
{

# 71 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    }
# 149 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
  template<typename _CharT>
    class __ctype_abstract_base : public locale::facet, public ctype_base
    {
    public:


      typedef _CharT char_type;
# 168 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      bool
      is(mask __m, char_type __c) const
      { return this->do_is(__m, __c); }
# 185 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 201 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 217 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 231 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 246 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 260 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 275 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 292 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      widen(char __c) const
      { return this->do_widen(__c); }
# 311 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 330 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char
      narrow(char_type __c, char __dfault) const
      { return this->do_narrow(__c, __dfault); }
# 352 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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() { }
# 377 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const = 0;
# 396 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi,
     mask* __vec) const = 0;
# 415 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo,
   const char_type* __hi) const = 0;
# 434 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const = 0;
# 452 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const = 0;
# 469 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const = 0;
# 485 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const = 0;
# 502 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const = 0;
# 521 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const = 0;
# 542 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const = 0;
# 563 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const = 0;
# 588 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
    };
# 611 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
# 680 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
# 717 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      ctype(const mask* __table = 0, bool __del = false, size_t __refs = 0);
# 730 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      ctype(__c_locale __cloc, const mask* __table = 0, bool __del = false,
     size_t __refs = 0);
# 743 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      inline bool
      is(mask __m, char __c) const;
# 758 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      inline const char*
      is(const char* __lo, const char* __hi, mask* __vec) const;
# 772 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      inline const char*
      scan_is(mask __m, const char* __lo, const char* __hi) const;
# 786 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      inline const char*
      scan_not(mask __m, const char* __lo, const char* __hi) const;
# 801 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      toupper(char_type __c) const
      { return this->do_toupper(__c); }
# 818 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char_type*
      toupper(char_type *__lo, const char_type* __hi) const
      { return this->do_toupper(__lo, __hi); }
# 834 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      tolower(char_type __c) const
      { return this->do_tolower(__c); }
# 851 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char_type*
      tolower(char_type* __lo, const char_type* __hi) const
      { return this->do_tolower(__lo, __hi); }
# 871 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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);
      }
# 898 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char*
      widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 if (_M_widen_ok == 1)
   {
     __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_widen_ok)
   _M_widen_init();
 return this->do_widen(__lo, __hi, __to);
      }
# 929 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
      }
# 962 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      const char_type*
      narrow(const char_type* __lo, const char_type* __hi,
      char __dfault, char* __to) const
      {
 if (__builtin_expect(_M_narrow_ok == 1, true))
   {
     __builtin_memcpy(__to, __lo, __hi - __lo);
     return __hi;
   }
 if (!_M_narrow_ok)
   _M_narrow_init();
 return this->do_narrow(__lo, __hi, __dfault, __to);
      }





      const mask*
      table() const throw()
      { return _M_table; }


      static const mask*
      classic_table() throw();
    protected:







      virtual
      ~ctype();
# 1011 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1028 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1044 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1061 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1081 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const
      { return __c; }
# 1104 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const
      {
 __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }
# 1130 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault __attribute__((__unused__))) const
      { return __c; }
# 1156 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_narrow(const char_type* __lo, const char_type* __hi,
  char __dfault __attribute__((__unused__)), char* __to) const
      {
 __builtin_memcpy(__to, __lo, __hi - __lo);
 return __hi;
      }

    private:
      void _M_narrow_init() const;
      void _M_widen_init() const;
    };
# 1181 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
# 1214 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      ctype(size_t __refs = 0);
# 1225 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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();
# 1249 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual bool
      do_is(mask __m, char_type __c) const;
# 1268 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_is(const char_type* __lo, const char_type* __hi, mask* __vec) const;
# 1286 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_scan_is(mask __m, const char_type* __lo, const char_type* __hi) const;
# 1304 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_scan_not(mask __m, const char_type* __lo,
    const char_type* __hi) const;
# 1321 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_toupper(char_type __c) const;
# 1338 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_toupper(char_type* __lo, const char_type* __hi) const;
# 1354 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_tolower(char_type __c) const;
# 1371 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char_type*
      do_tolower(char_type* __lo, const char_type* __hi) const;
# 1391 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_widen(char __c) const;
# 1413 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual const char*
      do_widen(const char* __lo, const char* __hi, char_type* __to) const;
# 1436 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char
      do_narrow(char_type __c, char __dfault) const;
# 1462 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\ctype_inline.h" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\mingw32\\bits\\ctype_inline.h" 3
namespace std
{


  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 && !this->is(__m, *__low))
      ++__low;
    return __low;
  }

  const char*
  ctype<char>::
  scan_not(mask __m, const char* __low, const char* __high) const
  {
    while (__low < __high && this->is(__m, *__low) != 0)
      ++__low;
    return __low;
  }


}
# 1535 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3

namespace std
{



  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 {
# 1665 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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(); }
# 1703 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      numpunct(__cache_type* __cache, size_t __refs = 0)
      : facet(__refs), _M_data(__cache)
      { _M_initialize_numpunct(); }
# 1717 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      numpunct(__c_locale __cloc, size_t __refs = 0)
      : facet(__refs), _M_data(0)
      { _M_initialize_numpunct(__cloc); }
# 1731 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      decimal_point() const
      { return this->do_decimal_point(); }
# 1744 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      char_type
      thousands_sep() const
      { return this->do_thousands_sep(); }
# 1775 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      string
      grouping() const
      { return this->do_grouping(); }
# 1788 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      string_type
      truename() const
      { return this->do_truename(); }
# 1801 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      string_type
      falsename() const
      { return this->do_falsename(); }

    protected:

      virtual
      ~numpunct();
# 1818 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_decimal_point() const
      { return _M_data->_M_decimal_point; }
# 1830 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual char_type
      do_thousands_sep() const
      { return _M_data->_M_thousands_sep; }
# 1843 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual string
      do_grouping() const
      { return _M_data->_M_grouping; }
# 1856 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual string_type
      do_truename() const
      { return _M_data->_M_truename; }
# 1869 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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() { }
    };

}


# 1947 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
# 1968 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      num_get(size_t __refs = 0) : facet(__refs) { }
# 1994 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2031 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2091 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2134 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
 }
# 2207 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, bool&) const;

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned short& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned int& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }

      virtual iter_type
      do_get(iter_type __beg, iter_type __end, ios_base& __io,
      ios_base::iostate& __err, unsigned long long& __v) const
      { return _M_extract_int(__beg, __end, __io, __err, __v); }


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, float&) const;

      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      double&) const;







      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&,
      long double&) const;


      virtual iter_type
      do_get(iter_type, iter_type, ios_base&, ios_base::iostate&, void*&) const;
# 2270 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
    };

  template<typename _CharT, typename _InIter>
    locale::id num_get<_CharT, _InIter>::id;
# 2288 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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;
# 2309 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      explicit
      num_put(size_t __refs = 0) : facet(__refs) { }
# 2327 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2369 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2432 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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); }
# 2457 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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() { }
# 2505 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 3
      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const;

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill, long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }

      virtual iter_type
      do_put(iter_type __s, ios_base& __io, char_type __fill,
      unsigned long long __v) const
      { return _M_insert_int(__s, __io, __fill, __v); }


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, double) const;






      virtual iter_type
      do_put(iter_type, ios_base&, char_type, long double) const;


      virtual iter_type
      do_put(iter_type, ios_base&, char_type, const void*) const;







    };

  template <typename _CharT, typename _OutIter>
    locale::id num_put<_CharT, _OutIter>::id;









  template<typename _CharT>
    inline bool
    isspace(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::space, __c); }


  template<typename _CharT>
    inline bool
    isprint(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::print, __c); }


  template<typename _CharT>
    inline bool
    iscntrl(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::cntrl, __c); }


  template<typename _CharT>
    inline bool
    isupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::upper, __c); }


  template<typename _CharT>
    inline bool
    islower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::lower, __c); }


  template<typename _CharT>
    inline bool
    isalpha(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alpha, __c); }


  template<typename _CharT>
    inline bool
    isdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::digit, __c); }


  template<typename _CharT>
    inline bool
    ispunct(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::punct, __c); }


  template<typename _CharT>
    inline bool
    isxdigit(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::xdigit, __c); }


  template<typename _CharT>
    inline bool
    isalnum(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::alnum, __c); }


  template<typename _CharT>
    inline bool
    isgraph(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::graph, __c); }



  template<typename _CharT>
    inline bool
    isblank(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).is(ctype_base::blank, __c); }



  template<typename _CharT>
    inline _CharT
    toupper(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).toupper(__c); }


  template<typename _CharT>
    inline _CharT
    tolower(_CharT __c, const locale& __loc)
    { return use_facet<ctype<_CharT> >(__loc).tolower(__c); }


}

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3

namespace std
{




  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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\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 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, long double& __v) const
    {
      string __xtrc;
      __xtrc.reserve(32);
      __beg = _M_extract_float(__beg, __end, __io, __err, __xtrc);
      std::__convert_to_v(__xtrc.c_str(), __v, __err, _S_get_c_locale());
      if (__beg == __end)
 __err |= ios_base::eofbit;
      return __beg;
    }

  template<typename _CharT, typename _InIter>
    _InIter
    num_get<_CharT, _InIter>::
    do_get(iter_type __beg, iter_type __end, ios_base& __io,
           ios_base::iostate& __err, void*& __v) const
    {

      typedef ios_base::fmtflags fmtflags;
      const fmtflags __fmt = __io.flags();
      __io.flags((__fmt & ~ios_base::basefield) | ios_base::hex);

      typedef __gnu_cxx::__conditional_type<(sizeof(void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      _UIntPtrType __ul;
      __beg = _M_extract_int(__beg, __end, __io, __err, __ul);


      __io.flags(__fmt);

      __v = reinterpret_cast<void*>(__ul);
      return __beg;
    }



  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_pad(_CharT __fill, streamsize __w, ios_base& __io,
    _CharT* __new, const _CharT* __cs, int& __len) const
    {


      __pad<_CharT, char_traits<_CharT> >::_S_pad(__io, __fill, __new,
        __cs, __w, __len);
      __len = static_cast<int>(__w);
    }



  template<typename _CharT, typename _ValueT>
    int
    __int_to_char(_CharT* __bufend, _ValueT __v, const _CharT* __lit,
    ios_base::fmtflags __flags, bool __dec)
    {
      _CharT* __buf = __bufend;
      if (__builtin_expect(__dec, true))
 {

   do
     {
       *--__buf = __lit[(__v % 10) + __num_base::_S_odigits];
       __v /= 10;
     }
   while (__v != 0);
 }
      else if ((__flags & ios_base::basefield) == ios_base::oct)
 {

   do
     {
       *--__buf = __lit[(__v & 0x7) + __num_base::_S_odigits];
       __v >>= 3;
     }
   while (__v != 0);
 }
      else
 {

   const bool __uppercase = __flags & ios_base::uppercase;
   const int __case_offset = __uppercase ? __num_base::_S_oudigits
                                         : __num_base::_S_odigits;
   do
     {
       *--__buf = __lit[(__v & 0xf) + __case_offset];
       __v >>= 4;
     }
   while (__v != 0);
 }
      return __bufend - __buf;
    }



  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_int(const char* __grouping, size_t __grouping_size, _CharT __sep,
   ios_base&, _CharT* __new, _CharT* __cs, int& __len) const
    {
      _CharT* __p = std::__add_grouping(__new, __sep, __grouping,
     __grouping_size, __cs, __cs + __len);
      __len = __p - __new;
    }

  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_int(_OutIter __s, ios_base& __io, _CharT __fill,
      _ValueT __v) const
      {
 using __gnu_cxx::__add_unsigned;
 typedef typename __add_unsigned<_ValueT>::__type __unsigned_type;
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);
 const _CharT* __lit = __lc->_M_atoms_out;
 const ios_base::fmtflags __flags = __io.flags();


 const int __ilen = 5 * sizeof(_ValueT);
 _CharT* __cs = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __ilen));



 const ios_base::fmtflags __basefield = __flags & ios_base::basefield;
 const bool __dec = (__basefield != ios_base::oct
       && __basefield != ios_base::hex);
 const __unsigned_type __u = ((__v > 0 || !__dec)
         ? __unsigned_type(__v)
         : -__unsigned_type(__v));
  int __len = __int_to_char(__cs + __ilen, __u, __lit, __flags, __dec);
 __cs += __ilen - __len;


 if (__lc->_M_use_grouping)
   {


     _CharT* __cs2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * (__len + 1)
          * 2));
     _M_group_int(__lc->_M_grouping, __lc->_M_grouping_size,
    __lc->_M_thousands_sep, __io, __cs2 + 2, __cs, __len);
     __cs = __cs2 + 2;
   }


 if (__builtin_expect(__dec, true))
   {

     if (__v >= 0)
       {
  if (bool(__flags & ios_base::showpos)
      && __gnu_cxx::__numeric_traits<_ValueT>::__is_signed)
    *--__cs = __lit[__num_base::_S_oplus], ++__len;
       }
     else
       *--__cs = __lit[__num_base::_S_ominus], ++__len;
   }
 else if (bool(__flags & ios_base::showbase) && __v)
   {
     if (__basefield == ios_base::oct)
       *--__cs = __lit[__num_base::_S_odigits], ++__len;
     else
       {

  const bool __uppercase = __flags & ios_base::uppercase;
  *--__cs = __lit[__num_base::_S_ox + __uppercase];

  *--__cs = __lit[__num_base::_S_odigits];
  __len += 2;
       }
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __cs3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __cs3, __cs, __len);
     __cs = __cs3;
   }
 __io.width(0);



 return std::__write(__s, __cs, __len);
      }

  template<typename _CharT, typename _OutIter>
    void
    num_put<_CharT, _OutIter>::
    _M_group_float(const char* __grouping, size_t __grouping_size,
     _CharT __sep, const _CharT* __p, _CharT* __new,
     _CharT* __cs, int& __len) const
    {



      const int __declen = __p ? __p - __cs : __len;
      _CharT* __p2 = std::__add_grouping(__new, __sep, __grouping,
      __grouping_size,
      __cs, __cs + __declen);


      int __newlen = __p2 - __new;
      if (__p)
 {
   char_traits<_CharT>::copy(__p2, __p, __len - __declen);
   __newlen += __len - __declen;
 }
      __len = __newlen;
    }
# 971 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    template<typename _ValueT>
      _OutIter
      num_put<_CharT, _OutIter>::
      _M_insert_float(_OutIter __s, ios_base& __io, _CharT __fill, char __mod,
         _ValueT __v) const
      {
 typedef __numpunct_cache<_CharT> __cache_type;
 __use_cache<__cache_type> __uc;
 const locale& __loc = __io._M_getloc();
 const __cache_type* __lc = __uc(__loc);


 const streamsize __prec = __io.precision() < 0 ? 6 : __io.precision();

 const int __max_digits =
   __gnu_cxx::__numeric_traits<_ValueT>::__digits10;


 int __len;

 char __fbuf[16];
 __num_base::_S_format_float(__io, __fbuf, __mod);



 const bool __use_prec =
   (__io.flags() & ios_base::floatfield) != ios_base::floatfield;



 int __cs_size = __max_digits * 3;
 char* __cs = static_cast<char*>(__builtin_alloca(__cs_size));
 if (__use_prec)
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __prec, __v);
 else
   __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
     __fbuf, __v);


 if (__len >= __cs_size)
   {
     __cs_size = __len + 1;
     __cs = static_cast<char*>(__builtin_alloca(__cs_size));
     if (__use_prec)
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __prec, __v);
     else
       __len = std::__convert_from_v(_S_get_c_locale(), __cs, __cs_size,
         __fbuf, __v);
   }
# 1044 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
 const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

 _CharT* __ws = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
            * __len));
 __ctype.widen(__cs, __cs + __len, __ws);


 _CharT* __wp = 0;
 const char* __p = char_traits<char>::find(__cs, __len, '.');
 if (__p)
   {
     __wp = __ws + (__p - __cs);
     *__wp = __lc->_M_decimal_point;
   }




 if (__lc->_M_use_grouping
     && (__wp || __len < 3 || (__cs[1] <= '9' && __cs[2] <= '9'
          && __cs[1] >= '0' && __cs[2] >= '0')))
   {


     _CharT* __ws2 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __len * 2));

     streamsize __off = 0;
     if (__cs[0] == '-' || __cs[0] == '+')
       {
  __off = 1;
  __ws2[0] = __ws[0];
  __len -= 1;
       }

     _M_group_float(__lc->_M_grouping, __lc->_M_grouping_size,
      __lc->_M_thousands_sep, __wp, __ws2 + __off,
      __ws + __off, __len);
     __len += __off;

     __ws = __ws2;
   }


 const streamsize __w = __io.width();
 if (__w > static_cast<streamsize>(__len))
   {
     _CharT* __ws3 = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
          * __w));
     _M_pad(__fill, __w, __io, __ws3, __ws, __len);
     __ws = __ws3;
   }
 __io.width(0);



 return std::__write(__s, __ws, __len);
      }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, bool __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      if ((__flags & ios_base::boolalpha) == 0)
        {
          const long __l = __v;
          __s = _M_insert_int(__s, __io, __fill, __l);
        }
      else
        {
   typedef __numpunct_cache<_CharT> __cache_type;
   __use_cache<__cache_type> __uc;
   const locale& __loc = __io._M_getloc();
   const __cache_type* __lc = __uc(__loc);

   const _CharT* __name = __v ? __lc->_M_truename
                              : __lc->_M_falsename;
   int __len = __v ? __lc->_M_truename_size
                   : __lc->_M_falsename_size;

   const streamsize __w = __io.width();
   if (__w > static_cast<streamsize>(__len))
     {
       const streamsize __plen = __w - __len;
       _CharT* __ps
  = static_cast<_CharT*>(__builtin_alloca(sizeof(_CharT)
       * __plen));

       char_traits<_CharT>::assign(__ps, __plen, __fill);
       __io.width(0);

       if ((__flags & ios_base::adjustfield) == ios_base::left)
  {
    __s = std::__write(__s, __name, __len);
    __s = std::__write(__s, __ps, __plen);
  }
       else
  {
    __s = std::__write(__s, __ps, __plen);
    __s = std::__write(__s, __name, __len);
  }
       return __s;
     }
   __io.width(0);
   __s = std::__write(__s, __name, __len);
 }
      return __s;
    }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill, double __v) const
    { return _M_insert_float(__s, __io, __fill, char(), __v); }
# 1169 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
    long double __v) const
    { return _M_insert_float(__s, __io, __fill, 'L', __v); }

  template<typename _CharT, typename _OutIter>
    _OutIter
    num_put<_CharT, _OutIter>::
    do_put(iter_type __s, ios_base& __io, char_type __fill,
           const void* __v) const
    {
      const ios_base::fmtflags __flags = __io.flags();
      const ios_base::fmtflags __fmt = ~(ios_base::basefield
      | ios_base::uppercase);
      __io.flags((__flags & __fmt) | (ios_base::hex | ios_base::showbase));

      typedef __gnu_cxx::__conditional_type<(sizeof(const void*)
          <= sizeof(unsigned long)),
 unsigned long, unsigned long long>::__type _UIntPtrType;

      __s = _M_insert_int(__s, __io, __fill,
     reinterpret_cast<_UIntPtrType>(__v));
      __io.flags(__flags);
      return __s;
    }


# 1206 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.tcc" 3
  template<typename _CharT, typename _Traits>
    void
    __pad<_CharT, _Traits>::_S_pad(ios_base& __io, _CharT __fill,
       _CharT* __news, const _CharT* __olds,
       streamsize __newlen, streamsize __oldlen)
    {
      const size_t __plen = static_cast<size_t>(__newlen - __oldlen);
      const ios_base::fmtflags __adjust = __io.flags() & ios_base::adjustfield;


      if (__adjust == ios_base::left)
 {
   _Traits::copy(__news, __olds, __oldlen);
   _Traits::assign(__news + __oldlen, __plen, __fill);
   return;
 }

      size_t __mod = 0;
      if (__adjust == ios_base::internal)
 {



          const locale& __loc = __io._M_getloc();
   const ctype<_CharT>& __ctype = use_facet<ctype<_CharT> >(__loc);

   if (__ctype.widen('-') == __olds[0]
       || __ctype.widen('+') == __olds[0])
     {
       __news[0] = __olds[0];
       __mod = 1;
       ++__news;
     }
   else if (__ctype.widen('0') == __olds[0]
     && __oldlen > 1
     && (__ctype.widen('x') == __olds[1]
         || __ctype.widen('X') == __olds[1]))
     {
       __news[0] = __olds[0];
       __news[1] = __olds[1];
       __mod = 2;
       __news += 2;
     }

 }
      _Traits::assign(__news, __plen, __fill);
      _Traits::copy(__news + __plen, __olds + __mod, __oldlen - __mod);
    }

  template<typename _CharT>
    _CharT*
    __add_grouping(_CharT* __s, _CharT __sep,
     const char* __gbeg, size_t __gsize,
     const _CharT* __first, const _CharT* __last)
    {
      size_t __idx = 0;
      size_t __ctr = 0;

      while (__last - __first > __gbeg[__idx]
      && static_cast<signed char>(__gbeg[__idx]) > 0
      && __gbeg[__idx] != __gnu_cxx::__numeric_traits<char>::__max)
 {
   __last -= __gbeg[__idx];
   __idx < __gsize - 1 ? ++__idx : ++__ctr;
 }

      while (__first != __last)
 *__s++ = *__first++;

      while (__ctr--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      while (__idx--)
 {
   *__s++ = __sep;
   for (char __i = __gbeg[__idx]; __i > 0; --__i)
     *__s++ = *__first++;
 }

      return __s;
    }




  extern template class __cxx11:: numpunct<char>;
  extern template class __cxx11:: numpunct_byname<char>;
  extern template class num_get<char>;
  extern template class num_put<char>;
  extern template class ctype_byname<char>;

  extern template
    const ctype<char>&
    use_facet<ctype<char> >(const locale&);

  extern template
    const numpunct<char>&
    use_facet<numpunct<char> >(const locale&);

  extern template
    const num_put<char>&
    use_facet<num_put<char> >(const locale&);

  extern template
    const num_get<char>&
    use_facet<num_get<char> >(const locale&);

  extern template
    bool
    has_facet<ctype<char> >(const locale&);

  extern template
    bool
    has_facet<numpunct<char> >(const locale&);

  extern template
    bool
    has_facet<num_put<char> >(const locale&);

  extern template
    bool
    has_facet<num_get<char> >(const locale&);


  extern template class __cxx11:: numpunct<wchar_t>;
  extern template class __cxx11:: numpunct_byname<wchar_t>;
  extern template class num_get<wchar_t>;
  extern template class num_put<wchar_t>;
  extern template class ctype_byname<wchar_t>;

  extern template
    const ctype<wchar_t>&
    use_facet<ctype<wchar_t> >(const locale&);

  extern template
    const numpunct<wchar_t>&
    use_facet<numpunct<wchar_t> >(const locale&);

  extern template
    const num_put<wchar_t>&
    use_facet<num_put<wchar_t> >(const locale&);

  extern template
    const num_get<wchar_t>&
    use_facet<num_get<wchar_t> >(const locale&);

 extern template
    bool
    has_facet<ctype<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<numpunct<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_put<wchar_t> >(const locale&);

  extern template
    bool
    has_facet<num_get<wchar_t> >(const locale&);




}
# 2652 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\locale_facets.h" 2 3
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 2 3



namespace std
{


  template<typename _Facet>
    inline const _Facet&
    __check_facet(const _Facet* __f)
    {
      if (!__f)
 __throw_bad_cast();
      return *__f;
    }
# 66 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
  template<typename _CharT, typename _Traits>
    class basic_ios : public ios_base
    {
    public:






      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;






      typedef ctype<_CharT> __ctype_type;
      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
           __num_put_type;
      typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
           __num_get_type;



    protected:
      basic_ostream<_CharT, _Traits>* _M_tie;
      mutable char_type _M_fill;
      mutable bool _M_fill_init;
      basic_streambuf<_CharT, _Traits>* _M_streambuf;


      const __ctype_type* _M_ctype;

      const __num_put_type* _M_num_put;

      const __num_get_type* _M_num_get;

    public:
# 117 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      explicit operator bool() const
      { return !this->fail(); }





      bool
      operator!() const
      { return this->fail(); }
# 136 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      iostate
      rdstate() const
      { return _M_streambuf_state; }
# 147 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      void
      clear(iostate __state = goodbit);







      void
      setstate(iostate __state)
      { this->clear(this->rdstate() | __state); }




      void
      _M_setstate(iostate __state)
      {


 _M_streambuf_state |= __state;
 if (this->exceptions() & __state)
   throw;
      }







      bool
      good() const
      { return this->rdstate() == 0; }







      bool
      eof() const
      { return (this->rdstate() & eofbit) != 0; }
# 200 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      bool
      fail() const
      { return (this->rdstate() & (badbit | failbit)) != 0; }







      bool
      bad() const
      { return (this->rdstate() & badbit) != 0; }
# 221 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      iostate
      exceptions() const
      { return _M_exception; }
# 256 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      void
      exceptions(iostate __except)
      {
        _M_exception = __except;
        this->clear(_M_streambuf_state);
      }







      explicit
      basic_ios(basic_streambuf<_CharT, _Traits>* __sb)
      : ios_base(), _M_tie(0), _M_fill(), _M_fill_init(false), _M_streambuf(0),
 _M_ctype(0), _M_num_put(0), _M_num_get(0)
      { this->init(__sb); }







      virtual
      ~basic_ios() { }
# 294 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      basic_ostream<_CharT, _Traits>*
      tie() const
      { return _M_tie; }
# 306 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      basic_ostream<_CharT, _Traits>*
      tie(basic_ostream<_CharT, _Traits>* __tiestr)
      {
        basic_ostream<_CharT, _Traits>* __old = _M_tie;
        _M_tie = __tiestr;
        return __old;
      }







      basic_streambuf<_CharT, _Traits>*
      rdbuf() const
      { return _M_streambuf; }
# 346 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      basic_streambuf<_CharT, _Traits>*
      rdbuf(basic_streambuf<_CharT, _Traits>* __sb);
# 360 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      basic_ios&
      copyfmt(const basic_ios& __rhs);







      char_type
      fill() const
      {
 if (!_M_fill_init)
   {
     _M_fill = this->widen(' ');
     _M_fill_init = true;
   }
 return _M_fill;
      }
# 389 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      char_type
      fill(char_type __ch)
      {
 char_type __old = this->fill();
 _M_fill = __ch;
 return __old;
      }
# 409 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      locale
      imbue(const locale& __loc);
# 429 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      char
      narrow(char_type __c, char __dfault) const
      { return __check_facet(_M_ctype).narrow(__c, __dfault); }
# 448 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 3
      char_type
      widen(char __c) const
      { return __check_facet(_M_ctype).widen(__c); }

    protected:







      basic_ios()
      : ios_base(), _M_tie(0), _M_fill(char_type()), _M_fill_init(false),
 _M_streambuf(0), _M_ctype(0), _M_num_put(0), _M_num_get(0)
      { }







      void
      init(basic_streambuf<_CharT, _Traits>* __sb);


      basic_ios(const basic_ios&) = delete;
      basic_ios& operator=(const basic_ios&) = delete;

      void
      move(basic_ios& __rhs)
      {
 ios_base::_M_move(__rhs);
 _M_cache_locale(_M_ios_locale);
 this->tie(__rhs.tie(nullptr));
 _M_fill = __rhs._M_fill;
 _M_fill_init = __rhs._M_fill_init;
 _M_streambuf = nullptr;
      }

      void
      move(basic_ios&& __rhs)
      { this->move(__rhs); }

      void
      swap(basic_ios& __rhs) noexcept
      {
 ios_base::_M_swap(__rhs);
 _M_cache_locale(_M_ios_locale);
 __rhs._M_cache_locale(__rhs._M_ios_locale);
 std::swap(_M_tie, __rhs._M_tie);
 std::swap(_M_fill, __rhs._M_fill);
 std::swap(_M_fill_init, __rhs._M_fill_init);
      }

      void
      set_rdbuf(basic_streambuf<_CharT, _Traits>* __sb)
      { _M_streambuf = __sb; }


      void
      _M_cache_locale(const locale& __loc);
    };


}

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.tcc" 1 3
# 33 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.tcc" 3
       
# 34 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.tcc" 3

namespace std
{


  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::clear(iostate __state)
    {
      if (this->rdbuf())
 _M_streambuf_state = __state;
      else
   _M_streambuf_state = __state | badbit;
      if (this->exceptions() & this->rdstate())
 __throw_ios_failure(("basic_ios::clear"));
    }

  template<typename _CharT, typename _Traits>
    basic_streambuf<_CharT, _Traits>*
    basic_ios<_CharT, _Traits>::rdbuf(basic_streambuf<_CharT, _Traits>* __sb)
    {
      basic_streambuf<_CharT, _Traits>* __old = _M_streambuf;
      _M_streambuf = __sb;
      this->clear();
      return __old;
    }

  template<typename _CharT, typename _Traits>
    basic_ios<_CharT, _Traits>&
    basic_ios<_CharT, _Traits>::copyfmt(const basic_ios& __rhs)
    {


      if (this != &__rhs)
 {




   _Words* __words = (__rhs._M_word_size <= _S_local_word_size) ?
                      _M_local_word : new _Words[__rhs._M_word_size];


   _Callback_list* __cb = __rhs._M_callbacks;
   if (__cb)
     __cb->_M_add_reference();
   _M_call_callbacks(erase_event);
   if (_M_word != _M_local_word)
     {
       delete [] _M_word;
       _M_word = 0;
     }
   _M_dispose_callbacks();


   _M_callbacks = __cb;
   for (int __i = 0; __i < __rhs._M_word_size; ++__i)
     __words[__i] = __rhs._M_word[__i];
   _M_word = __words;
   _M_word_size = __rhs._M_word_size;

   this->flags(__rhs.flags());
   this->width(__rhs.width());
   this->precision(__rhs.precision());
   this->tie(__rhs.tie());
   this->fill(__rhs.fill());
   _M_ios_locale = __rhs.getloc();
   _M_cache_locale(_M_ios_locale);

   _M_call_callbacks(copyfmt_event);


   this->exceptions(__rhs.exceptions());
 }
      return *this;
    }


  template<typename _CharT, typename _Traits>
    locale
    basic_ios<_CharT, _Traits>::imbue(const locale& __loc)
    {
      locale __old(this->getloc());
      ios_base::imbue(__loc);
      _M_cache_locale(__loc);
      if (this->rdbuf() != 0)
 this->rdbuf()->pubimbue(__loc);
      return __old;
    }

  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::init(basic_streambuf<_CharT, _Traits>* __sb)
    {

      ios_base::_M_init();


      _M_cache_locale(_M_ios_locale);
# 146 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.tcc" 3
      _M_fill = _CharT();
      _M_fill_init = false;

      _M_tie = 0;
      _M_exception = goodbit;
      _M_streambuf = __sb;
      _M_streambuf_state = __sb ? goodbit : badbit;
    }

  template<typename _CharT, typename _Traits>
    void
    basic_ios<_CharT, _Traits>::_M_cache_locale(const locale& __loc)
    {
      if (__builtin_expect(has_facet<__ctype_type>(__loc), true))
 _M_ctype = std::__addressof(use_facet<__ctype_type>(__loc));
      else
 _M_ctype = 0;

      if (__builtin_expect(has_facet<__num_put_type>(__loc), true))
 _M_num_put = std::__addressof(use_facet<__num_put_type>(__loc));
      else
 _M_num_put = 0;

      if (__builtin_expect(has_facet<__num_get_type>(__loc), true))
 _M_num_get = std::__addressof(use_facet<__num_get_type>(__loc));
      else
 _M_num_get = 0;
    }




  extern template class basic_ios<char>;


  extern template class basic_ios<wchar_t>;




}
# 517 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\basic_ios.h" 2 3
# 45 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ios" 2 3
# 39 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 2 3


namespace std
{

# 57 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _CharT, typename _Traits>
    class basic_ostream : virtual public basic_ios<_CharT, _Traits>
    {
    public:

      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;


      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef basic_ios<_CharT, _Traits> __ios_type;
      typedef basic_ostream<_CharT, _Traits> __ostream_type;
      typedef num_put<_CharT, ostreambuf_iterator<_CharT, _Traits> >
             __num_put_type;
      typedef ctype<_CharT> __ctype_type;
# 83 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      explicit
      basic_ostream(__streambuf_type* __sb)
      { this->init(__sb); }






      virtual
      ~basic_ostream() { }


      class sentry;
      friend class sentry;
# 107 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      operator<<(__ostream_type& (*__pf)(__ostream_type&))
      {



 return __pf(*this);
      }

      __ostream_type&
      operator<<(__ios_type& (*__pf)(__ios_type&))
      {



 __pf(*this);
 return *this;
      }

      __ostream_type&
      operator<<(ios_base& (*__pf) (ios_base&))
      {



 __pf(*this);
 return *this;
      }
# 165 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      operator<<(long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(unsigned long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(bool __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(short __n);

      __ostream_type&
      operator<<(unsigned short __n)
      {


 return _M_insert(static_cast<unsigned long>(__n));
      }

      __ostream_type&
      operator<<(int __n);

      __ostream_type&
      operator<<(unsigned int __n)
      {


 return _M_insert(static_cast<unsigned long>(__n));
      }


      __ostream_type&
      operator<<(long long __n)
      { return _M_insert(__n); }

      __ostream_type&
      operator<<(unsigned long long __n)
      { return _M_insert(__n); }
# 219 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      operator<<(double __f)
      { return _M_insert(__f); }

      __ostream_type&
      operator<<(float __f)
      {


 return _M_insert(static_cast<double>(__f));
      }

      __ostream_type&
      operator<<(long double __f)
      { return _M_insert(__f); }
# 244 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      operator<<(const void* __p)
      { return _M_insert(__p); }
# 269 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      operator<<(__streambuf_type* __sb);
# 302 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      put(char_type __c);






      void
      _M_write(const char_type* __s, streamsize __n)
      {
 const streamsize __put = this->rdbuf()->sputn(__s, __n);
 if (__put != __n)
   this->setstate(ios_base::badbit);
      }
# 334 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      write(const char_type* __s, streamsize __n);
# 347 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      flush();
# 357 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      pos_type
      tellp();
# 368 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      __ostream_type&
      seekp(pos_type);
# 380 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
       __ostream_type&
      seekp(off_type, ios_base::seekdir);

    protected:
      basic_ostream()
      { this->init(0); }



      basic_ostream(basic_iostream<_CharT, _Traits>&) { }

      basic_ostream(const basic_ostream&) = delete;

      basic_ostream(basic_ostream&& __rhs)
      : __ios_type()
      { __ios_type::move(__rhs); }



      basic_ostream& operator=(const basic_ostream&) = delete;

      basic_ostream&
      operator=(basic_ostream&& __rhs)
      {
 swap(__rhs);
 return *this;
      }

      void
      swap(basic_ostream& __rhs)
      { __ios_type::swap(__rhs); }


      template<typename _ValueT>
 __ostream_type&
 _M_insert(_ValueT __v);
    };
# 425 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template <typename _CharT, typename _Traits>
    class basic_ostream<_CharT, _Traits>::sentry
    {

      bool _M_ok;
      basic_ostream<_CharT, _Traits>& _M_os;

    public:
# 444 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      explicit
      sentry(basic_ostream<_CharT, _Traits>& __os);
# 454 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      ~sentry()
      {

 if (bool(_M_os.flags() & ios_base::unitbuf) && !uncaught_exception())
   {

     if (_M_os.rdbuf() && _M_os.rdbuf()->pubsync() == -1)
       _M_os.setstate(ios_base::badbit);
   }
      }
# 473 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
      explicit

      operator bool() const
      { return _M_ok; }
    };
# 495 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, _CharT __c)
    { return __ostream_insert(__out, &__c, 1); }

  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, char __c)
    { return (__out << __out.widen(__c)); }


  template <class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, char __c)
    { return __ostream_insert(__out, &__c, 1); }


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, signed char __c)
    { return (__out << static_cast<char>(__c)); }

  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, unsigned char __c)
    { return (__out << static_cast<char>(__c)); }
# 537 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, const _CharT* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 __ostream_insert(__out, __s,
    static_cast<streamsize>(_Traits::length(__s)));
      return __out;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits> &
    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s);


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, const char* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 __ostream_insert(__out, __s,
    static_cast<streamsize>(_Traits::length(__s)));
      return __out;
    }


  template<class _Traits>
    inline basic_ostream<char, _Traits>&
    operator<<(basic_ostream<char, _Traits>& __out, const signed char* __s)
    { return (__out << reinterpret_cast<const char*>(__s)); }

  template<class _Traits>
    inline basic_ostream<char, _Traits> &
    operator<<(basic_ostream<char, _Traits>& __out, const unsigned char* __s)
    { return (__out << reinterpret_cast<const char*>(__s)); }
# 588 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    endl(basic_ostream<_CharT, _Traits>& __os)
    { return flush(__os.put(__os.widen('\n'))); }
# 600 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    ends(basic_ostream<_CharT, _Traits>& __os)
    { return __os.put(_CharT()); }






  template<typename _CharT, typename _Traits>
    inline basic_ostream<_CharT, _Traits>&
    flush(basic_ostream<_CharT, _Traits>& __os)
    { return __os.flush(); }


  template<typename _Ch, typename _Up>
    basic_ostream<_Ch, _Up>&
    __is_convertible_to_basic_ostream_test(basic_ostream<_Ch, _Up>*);

  template<typename _Tp, typename = void>
    struct __is_convertible_to_basic_ostream_impl
    {
      using __ostream_type = void;
    };

  template<typename _Tp>
    using __do_is_convertible_to_basic_ostream_impl =
    decltype(__is_convertible_to_basic_ostream_test
      (declval<typename remove_reference<_Tp>::type*>()));

  template<typename _Tp>
    struct __is_convertible_to_basic_ostream_impl
    <_Tp,
     __void_t<__do_is_convertible_to_basic_ostream_impl<_Tp>>>
    {
      using __ostream_type =
 __do_is_convertible_to_basic_ostream_impl<_Tp>;
    };

  template<typename _Tp>
    struct __is_convertible_to_basic_ostream
    : __is_convertible_to_basic_ostream_impl<_Tp>
    {
    public:
      using type = __not_<is_void<
        typename __is_convertible_to_basic_ostream_impl<_Tp>::__ostream_type>>;
      constexpr static bool value = type::value;
    };

  template<typename _Ostream, typename _Tp, typename = void>
    struct __is_insertable : false_type {};

  template<typename _Ostream, typename _Tp>
    struct __is_insertable<_Ostream, _Tp,
      __void_t<decltype(declval<_Ostream&>()
          << declval<const _Tp&>())>>
        : true_type {};

  template<typename _Ostream>
    using __rvalue_ostream_type =
      typename __is_convertible_to_basic_ostream<
 _Ostream>::__ostream_type;
# 674 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 3
  template<typename _Ostream, typename _Tp>
    inline
    typename enable_if<__and_<__not_<is_lvalue_reference<_Ostream>>,
         __is_convertible_to_basic_ostream<_Ostream>,
         __is_insertable<
    __rvalue_ostream_type<_Ostream>,
    const _Tp&>>::value,
         __rvalue_ostream_type<_Ostream>>::type
    operator<<(_Ostream&& __os, const _Tp& __x)
    {
      __rvalue_ostream_type<_Ostream> __ret_os = __os;
      __ret_os << __x;
      return __ret_os;
    }



}

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream.tcc" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream.tcc" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\ostream.tcc" 3



namespace std
{


  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>::sentry::
    sentry(basic_ostream<_CharT, _Traits>& __os)
    : _M_ok(false), _M_os(__os)
    {

      if (__os.tie() && __os.good())
 __os.tie()->flush();

      if (__os.good())
 _M_ok = true;
      else
 __os.setstate(ios_base::failbit);
    }

  template<typename _CharT, typename _Traits>
    template<typename _ValueT>
      basic_ostream<_CharT, _Traits>&
      basic_ostream<_CharT, _Traits>::
      _M_insert(_ValueT __v)
      {
 sentry __cerb(*this);
 if (__cerb)
   {
     ios_base::iostate __err = ios_base::goodbit;
     try
       {
  const __num_put_type& __np = __check_facet(this->_M_num_put);
  if (__np.put(*this, *this, this->fill(), __v).failed())
    __err |= ios_base::badbit;
       }
     catch(__cxxabiv1::__forced_unwind&)
       {
  this->_M_setstate(ios_base::badbit);
  throw;
       }
     catch(...)
       { this->_M_setstate(ios_base::badbit); }
     if (__err)
       this->setstate(__err);
   }
 return *this;
      }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(short __n)
    {


      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
 return _M_insert(static_cast<long>(static_cast<unsigned short>(__n)));
      else
 return _M_insert(static_cast<long>(__n));
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(int __n)
    {


      const ios_base::fmtflags __fmt = this->flags() & ios_base::basefield;
      if (__fmt == ios_base::oct || __fmt == ios_base::hex)
 return _M_insert(static_cast<long>(static_cast<unsigned int>(__n)));
      else
 return _M_insert(static_cast<long>(__n));
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    operator<<(__streambuf_type* __sbin)
    {
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this);
      if (__cerb && __sbin)
 {
   try
     {
       if (!__copy_streambufs(__sbin, this->rdbuf()))
  __err |= ios_base::failbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::failbit); }
 }
      else if (!__sbin)
 __err |= ios_base::badbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    put(char_type __c)
    {






      sentry __cerb(*this);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const int_type __put = this->rdbuf()->sputc(__c);
       if (traits_type::eq_int_type(__put, traits_type::eof()))
  __err |= ios_base::badbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    write(const _CharT* __s, streamsize __n)
    {







      sentry __cerb(*this);
      if (__cerb)
 {
   try
     { _M_write(__s, __n); }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    flush()
    {



      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (this->rdbuf() && this->rdbuf()->pubsync() == -1)
     __err |= ios_base::badbit;
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    typename basic_ostream<_CharT, _Traits>::pos_type
    basic_ostream<_CharT, _Traits>::
    tellp()
    {
      pos_type __ret = pos_type(-1);
      try
 {
   if (!this->fail())
     __ret = this->rdbuf()->pubseekoff(0, ios_base::cur, ios_base::out);
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    seekp(pos_type __pos)
    {
      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (!this->fail())
     {


       const pos_type __p = this->rdbuf()->pubseekpos(__pos,
            ios_base::out);


       if (__p == pos_type(off_type(-1)))
  __err |= ios_base::failbit;
     }
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    basic_ostream<_CharT, _Traits>::
    seekp(off_type __off, ios_base::seekdir __dir)
    {
      ios_base::iostate __err = ios_base::goodbit;
      try
 {
   if (!this->fail())
     {


       const pos_type __p = this->rdbuf()->pubseekoff(__off, __dir,
            ios_base::out);


       if (__p == pos_type(off_type(-1)))
  __err |= ios_base::failbit;
     }
 }
      catch(__cxxabiv1::__forced_unwind&)
 {
   this->_M_setstate(ios_base::badbit);
   throw;
 }
      catch(...)
 { this->_M_setstate(ios_base::badbit); }
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __out, const char* __s)
    {
      if (!__s)
 __out.setstate(ios_base::badbit);
      else
 {


   const size_t __clen = char_traits<char>::length(__s);
   try
     {
       struct __ptr_guard
       {
  _CharT *__p;
  __ptr_guard (_CharT *__ip): __p(__ip) { }
  ~__ptr_guard() { delete[] __p; }
  _CharT* __get() { return __p; }
       } __pg (new _CharT[__clen]);

       _CharT *__ws = __pg.__get();
       for (size_t __i = 0; __i < __clen; ++__i)
  __ws[__i] = __out.widen(__s[__i]);
       __ostream_insert(__out, __ws, __clen);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __out._M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { __out._M_setstate(ios_base::badbit); }
 }
      return __out;
    }




  extern template class basic_ostream<char>;
  extern template ostream& endl(ostream&);
  extern template ostream& ends(ostream&);
  extern template ostream& flush(ostream&);
  extern template ostream& operator<<(ostream&, char);
  extern template ostream& operator<<(ostream&, unsigned char);
  extern template ostream& operator<<(ostream&, signed char);
  extern template ostream& operator<<(ostream&, const char*);
  extern template ostream& operator<<(ostream&, const unsigned char*);
  extern template ostream& operator<<(ostream&, const signed char*);

  extern template ostream& ostream::_M_insert(long);
  extern template ostream& ostream::_M_insert(unsigned long);
  extern template ostream& ostream::_M_insert(bool);

  extern template ostream& ostream::_M_insert(long long);
  extern template ostream& ostream::_M_insert(unsigned long long);

  extern template ostream& ostream::_M_insert(double);
  extern template ostream& ostream::_M_insert(long double);
  extern template ostream& ostream::_M_insert(const void*);


  extern template class basic_ostream<wchar_t>;
  extern template wostream& endl(wostream&);
  extern template wostream& ends(wostream&);
  extern template wostream& flush(wostream&);
  extern template wostream& operator<<(wostream&, wchar_t);
  extern template wostream& operator<<(wostream&, char);
  extern template wostream& operator<<(wostream&, const wchar_t*);
  extern template wostream& operator<<(wostream&, const char*);

  extern template wostream& wostream::_M_insert(long);
  extern template wostream& wostream::_M_insert(unsigned long);
  extern template wostream& wostream::_M_insert(bool);

  extern template wostream& wostream::_M_insert(long long);
  extern template wostream& wostream::_M_insert(unsigned long long);

  extern template wostream& wostream::_M_insert(double);
  extern template wostream& wostream::_M_insert(long double);
  extern template wostream& wostream::_M_insert(const void*);




}
# 694 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\ostream" 2 3
# 40 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 2 3
# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 1 3
# 36 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
       
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3




namespace std
{

# 57 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    class basic_istream : virtual public basic_ios<_CharT, _Traits>
    {
    public:

      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;


      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef basic_ios<_CharT, _Traits> __ios_type;
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
        __num_get_type;
      typedef ctype<_CharT> __ctype_type;

    protected:





      streamsize _M_gcount;

    public:







      explicit
      basic_istream(__streambuf_type* __sb)
      : _M_gcount(streamsize(0))
      { this->init(__sb); }






      virtual
      ~basic_istream()
      { _M_gcount = streamsize(0); }


      class sentry;
      friend class sentry;
# 119 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      operator>>(__istream_type& (*__pf)(__istream_type&))
      { return __pf(*this); }

      __istream_type&
      operator>>(__ios_type& (*__pf)(__ios_type&))
      {
 __pf(*this);
 return *this;
      }

      __istream_type&
      operator>>(ios_base& (*__pf)(ios_base&))
      {
 __pf(*this);
 return *this;
      }
# 167 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      operator>>(bool& __n)
      { return _M_extract(__n); }

      __istream_type&
      operator>>(short& __n);

      __istream_type&
      operator>>(unsigned short& __n)
      { return _M_extract(__n); }

      __istream_type&
      operator>>(int& __n);

      __istream_type&
      operator>>(unsigned int& __n)
      { return _M_extract(__n); }

      __istream_type&
      operator>>(long& __n)
      { return _M_extract(__n); }

      __istream_type&
      operator>>(unsigned long& __n)
      { return _M_extract(__n); }


      __istream_type&
      operator>>(long long& __n)
      { return _M_extract(__n); }

      __istream_type&
      operator>>(unsigned long long& __n)
      { return _M_extract(__n); }
# 213 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      operator>>(float& __f)
      { return _M_extract(__f); }

      __istream_type&
      operator>>(double& __f)
      { return _M_extract(__f); }

      __istream_type&
      operator>>(long double& __f)
      { return _M_extract(__f); }
# 234 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      operator>>(void*& __p)
      { return _M_extract(__p); }
# 258 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      operator>>(__streambuf_type* __sb);
# 268 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      streamsize
      gcount() const
      { return _M_gcount; }
# 301 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      int_type
      get();
# 315 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      get(char_type& __c);
# 342 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      get(char_type* __s, streamsize __n, char_type __delim);
# 353 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      get(char_type* __s, streamsize __n)
      { return this->get(__s, __n, this->widen('\n')); }
# 376 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      get(__streambuf_type& __sb, char_type __delim);
# 386 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      get(__streambuf_type& __sb)
      { return this->get(__sb, this->widen('\n')); }
# 415 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      getline(char_type* __s, streamsize __n, char_type __delim);
# 426 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      getline(char_type* __s, streamsize __n)
      { return this->getline(__s, __n, this->widen('\n')); }
# 450 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      ignore(streamsize __n, int_type __delim);

      __istream_type&
      ignore(streamsize __n);

      __istream_type&
      ignore();
# 467 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      int_type
      peek();
# 485 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      read(char_type* __s, streamsize __n);
# 504 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      streamsize
      readsome(char_type* __s, streamsize __n);
# 521 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      putback(char_type __c);
# 537 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      unget();
# 555 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      int
      sync();
# 570 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      pos_type
      tellg();
# 585 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      seekg(pos_type);
# 601 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      __istream_type&
      seekg(off_type, ios_base::seekdir);


    protected:
      basic_istream()
      : _M_gcount(streamsize(0))
      { this->init(0); }


      basic_istream(const basic_istream&) = delete;

      basic_istream(basic_istream&& __rhs)
      : __ios_type(), _M_gcount(__rhs._M_gcount)
      {
 __ios_type::move(__rhs);
 __rhs._M_gcount = 0;
      }



      basic_istream& operator=(const basic_istream&) = delete;

      basic_istream&
      operator=(basic_istream&& __rhs)
      {
 swap(__rhs);
 return *this;
      }

      void
      swap(basic_istream& __rhs)
      {
 __ios_type::swap(__rhs);
 std::swap(_M_gcount, __rhs._M_gcount);
      }


      template<typename _ValueT>
 __istream_type&
 _M_extract(_ValueT& __v);
    };


  template<>
    basic_istream<char>&
    basic_istream<char>::
    getline(char_type* __s, streamsize __n, char_type __delim);

  template<>
    basic_istream<char>&
    basic_istream<char>::
    ignore(streamsize __n);

  template<>
    basic_istream<char>&
    basic_istream<char>::
    ignore(streamsize __n, int_type __delim);


  template<>
    basic_istream<wchar_t>&
    basic_istream<wchar_t>::
    getline(char_type* __s, streamsize __n, char_type __delim);

  template<>
    basic_istream<wchar_t>&
    basic_istream<wchar_t>::
    ignore(streamsize __n);

  template<>
    basic_istream<wchar_t>&
    basic_istream<wchar_t>::
    ignore(streamsize __n, int_type __delim);
# 685 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    class basic_istream<_CharT, _Traits>::sentry
    {

      bool _M_ok;

    public:

      typedef _Traits traits_type;
      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef typename __istream_type::__ctype_type __ctype_type;
      typedef typename _Traits::int_type __int_type;
# 721 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      explicit
      sentry(basic_istream<_CharT, _Traits>& __is, bool __noskipws = false);
# 732 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
      explicit

      operator bool() const
      { return _M_ok; }
    };
# 750 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT& __c);

  template<class _Traits>
    inline basic_istream<char, _Traits>&
    operator>>(basic_istream<char, _Traits>& __in, unsigned char& __c)
    { return (__in >> reinterpret_cast<char&>(__c)); }

  template<class _Traits>
    inline basic_istream<char, _Traits>&
    operator>>(basic_istream<char, _Traits>& __in, signed char& __c)
    { return (__in >> reinterpret_cast<char&>(__c)); }
# 792 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT* __s);


  template<>
    basic_istream<char>&
    operator>>(basic_istream<char>& __in, char* __s);

  template<class _Traits>
    inline basic_istream<char, _Traits>&
    operator>>(basic_istream<char, _Traits>& __in, unsigned char* __s)
    { return (__in >> reinterpret_cast<char*>(__s)); }

  template<class _Traits>
    inline basic_istream<char, _Traits>&
    operator>>(basic_istream<char, _Traits>& __in, signed char* __s)
    { return (__in >> reinterpret_cast<char*>(__s)); }
# 823 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    class basic_iostream
    : public basic_istream<_CharT, _Traits>,
      public basic_ostream<_CharT, _Traits>
    {
    public:



      typedef _CharT char_type;
      typedef typename _Traits::int_type int_type;
      typedef typename _Traits::pos_type pos_type;
      typedef typename _Traits::off_type off_type;
      typedef _Traits traits_type;


      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_ostream<_CharT, _Traits> __ostream_type;







      explicit
      basic_iostream(basic_streambuf<_CharT, _Traits>* __sb)
      : __istream_type(__sb), __ostream_type(__sb) { }




      virtual
      ~basic_iostream() { }

    protected:
      basic_iostream()
      : __istream_type(), __ostream_type() { }


      basic_iostream(const basic_iostream&) = delete;

      basic_iostream(basic_iostream&& __rhs)
      : __istream_type(std::move(__rhs)), __ostream_type(*this)
      { }



      basic_iostream& operator=(const basic_iostream&) = delete;

      basic_iostream&
      operator=(basic_iostream&& __rhs)
      {
 swap(__rhs);
 return *this;
      }

      void
      swap(basic_iostream& __rhs)
      { __istream_type::swap(__rhs); }

    };
# 906 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    ws(basic_istream<_CharT, _Traits>& __is);


  template<typename _Ch, typename _Up>
    basic_istream<_Ch, _Up>&
    __is_convertible_to_basic_istream_test(basic_istream<_Ch, _Up>*);

  template<typename _Tp, typename = void>
    struct __is_convertible_to_basic_istream_impl
    {
      using __istream_type = void;
    };

  template<typename _Tp>
    using __do_is_convertible_to_basic_istream_impl =
    decltype(__is_convertible_to_basic_istream_test
      (declval<typename remove_reference<_Tp>::type*>()));

  template<typename _Tp>
    struct __is_convertible_to_basic_istream_impl
    <_Tp,
     __void_t<__do_is_convertible_to_basic_istream_impl<_Tp>>>
    {
      using __istream_type =
 __do_is_convertible_to_basic_istream_impl<_Tp>;
    };

  template<typename _Tp>
    struct __is_convertible_to_basic_istream
    : __is_convertible_to_basic_istream_impl<_Tp>
    {
    public:
      using type = __not_<is_void<
        typename __is_convertible_to_basic_istream_impl<_Tp>::__istream_type>>;
      constexpr static bool value = type::value;
    };

  template<typename _Istream, typename _Tp, typename = void>
    struct __is_extractable : false_type {};

  template<typename _Istream, typename _Tp>
    struct __is_extractable<_Istream, _Tp,
       __void_t<decltype(declval<_Istream&>()
           >> declval<_Tp>())>>
    : true_type {};

  template<typename _Istream>
    using __rvalue_istream_type =
      typename __is_convertible_to_basic_istream<
 _Istream>::__istream_type;
# 972 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 3
  template<typename _Istream, typename _Tp>
    inline
    typename enable_if<__and_<__not_<is_lvalue_reference<_Istream>>,
         __is_convertible_to_basic_istream<_Istream>,
         __is_extractable<
    __rvalue_istream_type<_Istream>,
    _Tp&&>>::value,
         __rvalue_istream_type<_Istream>>::type
    operator>>(_Istream&& __is, _Tp&& __x)
    {
      __rvalue_istream_type<_Istream> __ret_is = __is;
      __ret_is >> std::forward<_Tp>(__x);
      return __ret_is;
    }



}

# 1 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\istream.tcc" 1 3
# 37 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\istream.tcc" 3
       
# 38 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\istream.tcc" 3



namespace std
{


  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>::sentry::
    sentry(basic_istream<_CharT, _Traits>& __in, bool __noskip) : _M_ok(false)
    {
      ios_base::iostate __err = ios_base::goodbit;
      if (__in.good())
 try
   {
     if (__in.tie())
       __in.tie()->flush();
     if (!__noskip && bool(__in.flags() & ios_base::skipws))
       {
  const __int_type __eof = traits_type::eof();
  __streambuf_type* __sb = __in.rdbuf();
  __int_type __c = __sb->sgetc();

  const __ctype_type& __ct = __check_facet(__in._M_ctype);
  while (!traits_type::eq_int_type(__c, __eof)
         && __ct.is(ctype_base::space,
      traits_type::to_char_type(__c)))
    __c = __sb->snextc();




  if (traits_type::eq_int_type(__c, __eof))
    __err |= ios_base::eofbit;
       }
   }
 catch(__cxxabiv1::__forced_unwind&)
   {
     __in._M_setstate(ios_base::badbit);
     throw;
   }
 catch(...)
   { __in._M_setstate(ios_base::badbit); }

      if (__in.good() && __err == ios_base::goodbit)
 _M_ok = true;
      else
 {
   __err |= ios_base::failbit;
   __in.setstate(__err);
 }
    }

  template<typename _CharT, typename _Traits>
    template<typename _ValueT>
      basic_istream<_CharT, _Traits>&
      basic_istream<_CharT, _Traits>::
      _M_extract(_ValueT& __v)
      {
 sentry __cerb(*this, false);
 if (__cerb)
   {
     ios_base::iostate __err = ios_base::goodbit;
     try
       {
  const __num_get_type& __ng = __check_facet(this->_M_num_get);
  __ng.get(*this, 0, *this, __err, __v);
       }
     catch(__cxxabiv1::__forced_unwind&)
       {
  this->_M_setstate(ios_base::badbit);
  throw;
       }
     catch(...)
       { this->_M_setstate(ios_base::badbit); }
     if (__err)
       this->setstate(__err);
   }
 return *this;
      }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    operator>>(short& __n)
    {


      sentry __cerb(*this, false);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       long __l;
       const __num_get_type& __ng = __check_facet(this->_M_num_get);
       __ng.get(*this, 0, *this, __err, __l);



       if (__l < __gnu_cxx::__numeric_traits<short>::__min)
  {
    __err |= ios_base::failbit;
    __n = __gnu_cxx::__numeric_traits<short>::__min;
  }
       else if (__l > __gnu_cxx::__numeric_traits<short>::__max)
  {
    __err |= ios_base::failbit;
    __n = __gnu_cxx::__numeric_traits<short>::__max;
  }
       else
  __n = short(__l);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    operator>>(int& __n)
    {


      sentry __cerb(*this, false);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       long __l;
       const __num_get_type& __ng = __check_facet(this->_M_num_get);
       __ng.get(*this, 0, *this, __err, __l);



       if (__l < __gnu_cxx::__numeric_traits<int>::__min)
  {
    __err |= ios_base::failbit;
    __n = __gnu_cxx::__numeric_traits<int>::__min;
  }
       else if (__l > __gnu_cxx::__numeric_traits<int>::__max)
  {
    __err |= ios_base::failbit;
    __n = __gnu_cxx::__numeric_traits<int>::__max;
  }
       else
  __n = int(__l);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    operator>>(__streambuf_type* __sbout)
    {
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, false);
      if (__cerb && __sbout)
 {
   try
     {
       bool __ineof;
       if (!__copy_streambufs_eof(this->rdbuf(), __sbout, __ineof))
  __err |= ios_base::failbit;
       if (__ineof)
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::failbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::failbit); }
 }
      else if (!__sbout)
 __err |= ios_base::failbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    typename basic_istream<_CharT, _Traits>::int_type
    basic_istream<_CharT, _Traits>::
    get(void)
    {
      const int_type __eof = traits_type::eof();
      int_type __c = __eof;
      _M_gcount = 0;
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   try
     {
       __c = this->rdbuf()->sbumpc();

       if (!traits_type::eq_int_type(__c, __eof))
  _M_gcount = 1;
       else
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      if (!_M_gcount)
 __err |= ios_base::failbit;
      if (__err)
 this->setstate(__err);
      return __c;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    get(char_type& __c)
    {
      _M_gcount = 0;
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   try
     {
       const int_type __cb = this->rdbuf()->sbumpc();

       if (!traits_type::eq_int_type(__cb, traits_type::eof()))
  {
    _M_gcount = 1;
    __c = traits_type::to_char_type(__cb);
  }
       else
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      if (!_M_gcount)
 __err |= ios_base::failbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    get(char_type* __s, streamsize __n, char_type __delim)
    {
      _M_gcount = 0;
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   try
     {
       const int_type __idelim = traits_type::to_int_type(__delim);
       const int_type __eof = traits_type::eof();
       __streambuf_type* __sb = this->rdbuf();
       int_type __c = __sb->sgetc();

       while (_M_gcount + 1 < __n
       && !traits_type::eq_int_type(__c, __eof)
       && !traits_type::eq_int_type(__c, __idelim))
  {
    *__s++ = traits_type::to_char_type(__c);
    ++_M_gcount;
    __c = __sb->snextc();
  }
       if (traits_type::eq_int_type(__c, __eof))
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }


      if (__n > 0)
 *__s = char_type();
      if (!_M_gcount)
 __err |= ios_base::failbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    get(__streambuf_type& __sb, char_type __delim)
    {
      _M_gcount = 0;
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   try
     {
       const int_type __idelim = traits_type::to_int_type(__delim);
       const int_type __eof = traits_type::eof();
       __streambuf_type* __this_sb = this->rdbuf();
       int_type __c = __this_sb->sgetc();
       char_type __c2 = traits_type::to_char_type(__c);

       while (!traits_type::eq_int_type(__c, __eof)
       && !traits_type::eq_int_type(__c, __idelim)
       && !traits_type::eq_int_type(__sb.sputc(__c2), __eof))
  {
    ++_M_gcount;
    __c = __this_sb->snextc();
    __c2 = traits_type::to_char_type(__c);
  }
       if (traits_type::eq_int_type(__c, __eof))
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      if (!_M_gcount)
 __err |= ios_base::failbit;
      if (__err)
 this->setstate(__err);
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    getline(char_type* __s, streamsize __n, char_type __delim)
    {
      _M_gcount = 0;
      ios_base::iostate __err = ios_base::goodbit;
      sentry __cerb(*this, true);
      if (__cerb)
        {
          try
            {
              const int_type __idelim = traits_type::to_int_type(__delim);
              const int_type __eof = traits_type::eof();
              __streambuf_type* __sb = this->rdbuf();
              int_type __c = __sb->sgetc();

              while (_M_gcount + 1 < __n
                     && !traits_type::eq_int_type(__c, __eof)
                     && !traits_type::eq_int_type(__c, __idelim))
                {
                  *__s++ = traits_type::to_char_type(__c);
                  __c = __sb->snextc();
                  ++_M_gcount;
                }
              if (traits_type::eq_int_type(__c, __eof))
                __err |= ios_base::eofbit;
              else
                {
                  if (traits_type::eq_int_type(__c, __idelim))
                    {
                      __sb->sbumpc();
                      ++_M_gcount;
                    }
                  else
                    __err |= ios_base::failbit;
                }
            }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
          catch(...)
            { this->_M_setstate(ios_base::badbit); }
        }


      if (__n > 0)
 *__s = char_type();
      if (!_M_gcount)
        __err |= ios_base::failbit;
      if (__err)
        this->setstate(__err);
      return *this;
    }




  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    ignore(void)
    {
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const int_type __eof = traits_type::eof();
       __streambuf_type* __sb = this->rdbuf();

       if (traits_type::eq_int_type(__sb->sbumpc(), __eof))
  __err |= ios_base::eofbit;
       else
  _M_gcount = 1;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    ignore(streamsize __n)
    {
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb && __n > 0)
        {
          ios_base::iostate __err = ios_base::goodbit;
          try
            {
              const int_type __eof = traits_type::eof();
              __streambuf_type* __sb = this->rdbuf();
              int_type __c = __sb->sgetc();
# 521 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\bits\\istream.tcc" 3
       bool __large_ignore = false;
       while (true)
  {
    while (_M_gcount < __n
    && !traits_type::eq_int_type(__c, __eof))
      {
        ++_M_gcount;
        __c = __sb->snextc();
      }
    if (__n == __gnu_cxx::__numeric_traits<streamsize>::__max
        && !traits_type::eq_int_type(__c, __eof))
      {
        _M_gcount =
   __gnu_cxx::__numeric_traits<streamsize>::__min;
        __large_ignore = true;
      }
    else
      break;
  }

       if (__large_ignore)
  _M_gcount = __gnu_cxx::__numeric_traits<streamsize>::__max;

       if (traits_type::eq_int_type(__c, __eof))
                __err |= ios_base::eofbit;
            }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
          catch(...)
            { this->_M_setstate(ios_base::badbit); }
          if (__err)
            this->setstate(__err);
        }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    ignore(streamsize __n, int_type __delim)
    {
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb && __n > 0)
        {
          ios_base::iostate __err = ios_base::goodbit;
          try
            {
              const int_type __eof = traits_type::eof();
              __streambuf_type* __sb = this->rdbuf();
              int_type __c = __sb->sgetc();


       bool __large_ignore = false;
       while (true)
  {
    while (_M_gcount < __n
    && !traits_type::eq_int_type(__c, __eof)
    && !traits_type::eq_int_type(__c, __delim))
      {
        ++_M_gcount;
        __c = __sb->snextc();
      }
    if (__n == __gnu_cxx::__numeric_traits<streamsize>::__max
        && !traits_type::eq_int_type(__c, __eof)
        && !traits_type::eq_int_type(__c, __delim))
      {
        _M_gcount =
   __gnu_cxx::__numeric_traits<streamsize>::__min;
        __large_ignore = true;
      }
    else
      break;
  }

       if (__large_ignore)
  _M_gcount = __gnu_cxx::__numeric_traits<streamsize>::__max;

              if (traits_type::eq_int_type(__c, __eof))
                __err |= ios_base::eofbit;
       else if (traits_type::eq_int_type(__c, __delim))
  {
    if (_M_gcount
        < __gnu_cxx::__numeric_traits<streamsize>::__max)
      ++_M_gcount;
    __sb->sbumpc();
  }
            }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
          catch(...)
            { this->_M_setstate(ios_base::badbit); }
          if (__err)
            this->setstate(__err);
        }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    typename basic_istream<_CharT, _Traits>::int_type
    basic_istream<_CharT, _Traits>::
    peek(void)
    {
      int_type __c = traits_type::eof();
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       __c = this->rdbuf()->sgetc();
       if (traits_type::eq_int_type(__c, traits_type::eof()))
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return __c;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    read(char_type* __s, streamsize __n)
    {
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       _M_gcount = this->rdbuf()->sgetn(__s, __n);
       if (_M_gcount != __n)
  __err |= (ios_base::eofbit | ios_base::failbit);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    streamsize
    basic_istream<_CharT, _Traits>::
    readsome(char_type* __s, streamsize __n)
    {
      _M_gcount = 0;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {

       const streamsize __num = this->rdbuf()->in_avail();
       if (__num > 0)
  _M_gcount = this->rdbuf()->sgetn(__s, std::min(__num, __n));
       else if (__num == -1)
  __err |= ios_base::eofbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return _M_gcount;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    putback(char_type __c)
    {


      _M_gcount = 0;

      this->clear(this->rdstate() & ~ios_base::eofbit);
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const int_type __eof = traits_type::eof();
       __streambuf_type* __sb = this->rdbuf();
       if (!__sb
    || traits_type::eq_int_type(__sb->sputbackc(__c), __eof))
  __err |= ios_base::badbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    unget(void)
    {


      _M_gcount = 0;

      this->clear(this->rdstate() & ~ios_base::eofbit);
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const int_type __eof = traits_type::eof();
       __streambuf_type* __sb = this->rdbuf();
       if (!__sb
    || traits_type::eq_int_type(__sb->sungetc(), __eof))
  __err |= ios_base::badbit;
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    int
    basic_istream<_CharT, _Traits>::
    sync(void)
    {


      int __ret = -1;
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       __streambuf_type* __sb = this->rdbuf();
       if (__sb)
  {
    if (__sb->pubsync() == -1)
      __err |= ios_base::badbit;
    else
      __ret = 0;
  }
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    typename basic_istream<_CharT, _Traits>::pos_type
    basic_istream<_CharT, _Traits>::
    tellg(void)
    {


      pos_type __ret = pos_type(-1);
      sentry __cerb(*this, true);
      if (__cerb)
 {
   try
     {
       if (!this->fail())
  __ret = this->rdbuf()->pubseekoff(0, ios_base::cur,
        ios_base::in);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
 }
      return __ret;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    seekg(pos_type __pos)
    {



      this->clear(this->rdstate() & ~ios_base::eofbit);
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       if (!this->fail())
  {

    const pos_type __p = this->rdbuf()->pubseekpos(__pos,
         ios_base::in);


    if (__p == pos_type(off_type(-1)))
      __err |= ios_base::failbit;
  }
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    basic_istream<_CharT, _Traits>::
    seekg(off_type __off, ios_base::seekdir __dir)
    {



      this->clear(this->rdstate() & ~ios_base::eofbit);
      sentry __cerb(*this, true);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       if (!this->fail())
  {

    const pos_type __p = this->rdbuf()->pubseekoff(__off, __dir,
         ios_base::in);


    if (__p == pos_type(off_type(-1)))
      __err |= ios_base::failbit;
  }
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       this->_M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { this->_M_setstate(ios_base::badbit); }
   if (__err)
     this->setstate(__err);
 }
      return *this;
    }


  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT& __c)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef typename __istream_type::int_type __int_type;

      typename __istream_type::sentry __cerb(__in, false);
      if (__cerb)
 {
   ios_base::iostate __err = ios_base::goodbit;
   try
     {
       const __int_type __cb = __in.rdbuf()->sbumpc();
       if (!_Traits::eq_int_type(__cb, _Traits::eof()))
  __c = _Traits::to_char_type(__cb);
       else
  __err |= (ios_base::eofbit | ios_base::failbit);
     }
   catch(__cxxabiv1::__forced_unwind&)
     {
       __in._M_setstate(ios_base::badbit);
       throw;
     }
   catch(...)
     { __in._M_setstate(ios_base::badbit); }
   if (__err)
     __in.setstate(__err);
 }
      return __in;
    }

  template<typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __in, _CharT* __s)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef typename _Traits::int_type int_type;
      typedef _CharT char_type;
      typedef ctype<_CharT> __ctype_type;

      streamsize __extracted = 0;
      ios_base::iostate __err = ios_base::goodbit;
      typename __istream_type::sentry __cerb(__in, false);
      if (__cerb)
 {
   try
     {

       streamsize __num = __in.width();
       if (__num <= 0)
  __num = __gnu_cxx::__numeric_traits<streamsize>::__max;

       const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());

       const int_type __eof = _Traits::eof();
       __streambuf_type* __sb = __in.rdbuf();
       int_type __c = __sb->sgetc();

       while (__extracted < __num - 1
       && !_Traits::eq_int_type(__c, __eof)
       && !__ct.is(ctype_base::space,
     _Traits::to_char_type(__c)))
  {
    *__s++ = _Traits::to_char_type(__c);
    ++__extracted;
    __c = __sb->snextc();
  }
       if (_Traits::eq_int_type(__c, __eof))
  __err |= ios_base::eofbit;



       *__s = char_type();
       __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>
    basic_istream<_CharT, _Traits>&
    ws(basic_istream<_CharT, _Traits>& __in)
    {
      typedef basic_istream<_CharT, _Traits> __istream_type;
      typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
      typedef typename __istream_type::int_type __int_type;
      typedef ctype<_CharT> __ctype_type;

      const __ctype_type& __ct = use_facet<__ctype_type>(__in.getloc());
      const __int_type __eof = _Traits::eof();
      __streambuf_type* __sb = __in.rdbuf();
      __int_type __c = __sb->sgetc();

      while (!_Traits::eq_int_type(__c, __eof)
      && __ct.is(ctype_base::space, _Traits::to_char_type(__c)))
 __c = __sb->snextc();

       if (_Traits::eq_int_type(__c, __eof))
  __in.setstate(ios_base::eofbit);
      return __in;
    }




  extern template class basic_istream<char>;
  extern template istream& ws(istream&);
  extern template istream& operator>>(istream&, char&);
  extern template istream& operator>>(istream&, char*);
  extern template istream& operator>>(istream&, unsigned char&);
  extern template istream& operator>>(istream&, signed char&);
  extern template istream& operator>>(istream&, unsigned char*);
  extern template istream& operator>>(istream&, signed char*);

  extern template istream& istream::_M_extract(unsigned short&);
  extern template istream& istream::_M_extract(unsigned int&);
  extern template istream& istream::_M_extract(long&);
  extern template istream& istream::_M_extract(unsigned long&);
  extern template istream& istream::_M_extract(bool&);

  extern template istream& istream::_M_extract(long long&);
  extern template istream& istream::_M_extract(unsigned long long&);

  extern template istream& istream::_M_extract(float&);
  extern template istream& istream::_M_extract(double&);
  extern template istream& istream::_M_extract(long double&);
  extern template istream& istream::_M_extract(void*&);

  extern template class basic_iostream<char>;


  extern template class basic_istream<wchar_t>;
  extern template wistream& ws(wistream&);
  extern template wistream& operator>>(wistream&, wchar_t&);
  extern template wistream& operator>>(wistream&, wchar_t*);

  extern template wistream& wistream::_M_extract(unsigned short&);
  extern template wistream& wistream::_M_extract(unsigned int&);
  extern template wistream& wistream::_M_extract(long&);
  extern template wistream& wistream::_M_extract(unsigned long&);
  extern template wistream& wistream::_M_extract(bool&);

  extern template wistream& wistream::_M_extract(long long&);
  extern template wistream& wistream::_M_extract(unsigned long long&);

  extern template wistream& wistream::_M_extract(float&);
  extern template wistream& wistream::_M_extract(double&);
  extern template wistream& wistream::_M_extract(long double&);
  extern template wistream& wistream::_M_extract(void*&);

  extern template class basic_iostream<wchar_t>;




}
# 992 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\istream" 2 3
# 41 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 2 3

namespace std
{

# 60 "c:\\mingw\\lib\\gcc\\mingw32\\8.2.0\\include\\c++\\iostream" 3
  extern istream cin;
  extern ostream cout;
  extern ostream cerr;
  extern ostream clog;


  extern wistream wcin;
  extern wostream wcout;
  extern wostream wcerr;
  extern wostream wclog;




  static ios_base::Init __ioinit;


}
# 2 "f:\\Coding\\C++\\hk.cpp" 2

# 2 "f:\\Coding\\C++\\hk.cpp"
using namespace std;
int main()
{
int i=15;
if(i>10)
cout<<"greater";
else
cout<<"smaller";
return 0;
}