mixer1.cpp

# 0 "mixer0.cpp"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 0 "<command-line>" 2
# 1 "mixer0.cpp"
# 1 "/usr/include/stdio.h" 1 3 4
# 27 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 33 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
# 1 "/usr/include/features.h" 1 3 4
# 392 "/usr/include/features.h" 3 4
# 1 "/usr/include/features-time64.h" 1 3 4
# 20 "/usr/include/features-time64.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 21 "/usr/include/features-time64.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 2 3 4
# 22 "/usr/include/features-time64.h" 2 3 4
# 393 "/usr/include/features.h" 2 3 4
# 486 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
# 559 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 560 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 561 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 487 "/usr/include/features.h" 2 3 4
# 510 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
# 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
# 511 "/usr/include/features.h" 2 3 4
# 34 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 2 3 4
# 28 "/usr/include/stdio.h" 2 3 4


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



# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 209 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 34 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stdarg.h" 1 3 4
# 40 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 37 "/usr/include/stdio.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/types.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 2 3 4
# 29 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;


typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;

typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;






typedef __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
# 142 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/time64.h" 1 3 4
# 143 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned long int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef long int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


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


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


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 39 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h" 1 3 4




# 1 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 1 3 4
# 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 3 4
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 6 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h" 2 3 4




typedef struct _G_fpos_t
{
  __off_t __pos;
  __mbstate_t __state;
} __fpos_t;
# 40 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h" 3 4
typedef struct _G_fpos64_t
{
  __off64_t __pos;
  __mbstate_t __state;
} __fpos64_t;
# 41 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h" 1 3 4



struct _IO_FILE;
typedef struct _IO_FILE __FILE;
# 42 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/FILE.h" 1 3 4



struct _IO_FILE;


typedef struct _IO_FILE FILE;
# 43 "/usr/include/stdio.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h" 1 3 4
# 35 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h" 3 4
struct _IO_FILE;
struct _IO_marker;
struct _IO_codecvt;
struct _IO_wide_data;




typedef void _IO_lock_t;





struct _IO_FILE
{
  int _flags;


  char *_IO_read_ptr;
  char *_IO_read_end;
  char *_IO_read_base;
  char *_IO_write_base;
  char *_IO_write_ptr;
  char *_IO_write_end;
  char *_IO_buf_base;
  char *_IO_buf_end;


  char *_IO_save_base;
  char *_IO_backup_base;
  char *_IO_save_end;

  struct _IO_marker *_markers;

  struct _IO_FILE *_chain;

  int _fileno;
  int _flags2;
  __off_t _old_offset;


  unsigned short _cur_column;
  signed char _vtable_offset;
  char _shortbuf[1];

  _IO_lock_t *_lock;







  __off64_t _offset;

  struct _IO_codecvt *_codecvt;
  struct _IO_wide_data *_wide_data;
  struct _IO_FILE *_freeres_list;
  void *_freeres_buf;
  size_t __pad5;
  int _mode;

  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];
};
# 44 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h" 3 4
typedef __ssize_t cookie_read_function_t (void *__cookie, char *__buf,
                                          size_t __nbytes);







typedef __ssize_t cookie_write_function_t (void *__cookie, const char *__buf,
                                           size_t __nbytes);







typedef int cookie_seek_function_t (void *__cookie, __off64_t *__pos, int __w);


typedef int cookie_close_function_t (void *__cookie);






typedef struct _IO_cookie_io_functions_t
{
  cookie_read_function_t *read;
  cookie_write_function_t *write;
  cookie_seek_function_t *seek;
  cookie_close_function_t *close;
} cookie_io_functions_t;
# 47 "/usr/include/stdio.h" 2 3 4





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






typedef __off64_t off64_t;






typedef __ssize_t ssize_t;






typedef __fpos_t fpos_t;




typedef __fpos64_t fpos64_t;
# 133 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 1 3 4
# 134 "/usr/include/stdio.h" 2 3 4
# 143 "/usr/include/stdio.h" 3 4
extern FILE *stdin;
extern FILE *stdout;
extern FILE *stderr;






extern int remove (const char *__filename) noexcept (true);

extern int rename (const char *__old, const char *__new) noexcept (true);



extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) noexcept (true);
# 170 "/usr/include/stdio.h" 3 4
extern int renameat2 (int __oldfd, const char *__old, int __newfd,
        const char *__new, unsigned int __flags) noexcept (true);






extern int fclose (FILE *__stream);
# 188 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile (void)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;
# 200 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void)
   __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;



extern char *tmpnam (char[20]) noexcept (true) ;




extern char *tmpnam_r (char __s[20]) noexcept (true) ;
# 222 "/usr/include/stdio.h" 3 4
extern char *tempnam (const char *__dir, const char *__pfx)
   noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (__builtin_free, 1)));






extern int fflush (FILE *__stream);
# 239 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 249 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);
# 258 "/usr/include/stdio.h" 3 4
extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) ;
# 283 "/usr/include/stdio.h" 3 4
extern FILE *fopen64 (const char *__restrict __filename,
        const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;
extern FILE *freopen64 (const char *__restrict __filename,
   const char *__restrict __modes,
   FILE *__restrict __stream) ;




extern FILE *fdopen (int __fd, const char *__modes) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;





extern FILE *fopencookie (void *__restrict __magic_cookie,
     const char *__restrict __modes,
     cookie_io_functions_t __io_funcs) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) ;
# 328 "/usr/include/stdio.h" 3 4
extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) noexcept (true);



extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) noexcept (true);




extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) noexcept (true);


extern void setlinebuf (FILE *__stream) noexcept (true);







extern int fprintf (FILE *__restrict __stream,
      const char *__restrict __format, ...);




extern int printf (const char *__restrict __format, ...);

extern int sprintf (char *__restrict __s,
      const char *__restrict __format, ...) noexcept (true);





extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg);




extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);

extern int vsprintf (char *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) noexcept (true);



extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 4)));

extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 0)));





extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
        __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0))) ;
extern int __asprintf (char **__restrict __ptr,
         const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) ;
extern int asprintf (char **__restrict __ptr,
       const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) ;




extern int vdprintf (int __fd, const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));







extern int fscanf (FILE *__restrict __stream,
     const char *__restrict __format, ...) ;




extern int scanf (const char *__restrict __format, ...) ;

extern int sscanf (const char *__restrict __s,
     const char *__restrict __format, ...) noexcept (true);





# 1 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 1 3 4
# 74 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef _Complex float __cfloat128 __attribute__ ((__mode__ (__TC__)));
# 86 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef __float128 _Float128;
# 119 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 2 3 4
# 214 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef float _Float32;
# 251 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float64;
# 268 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float32x;
# 285 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef long double _Float64x;
# 120 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 2 3 4
# 431 "/usr/include/stdio.h" 2 3 4



extern int fscanf (FILE *__restrict __stream, const char *__restrict __format, ...) __asm__ ("" "__isoc99_fscanf")

                               ;
extern int scanf (const char *__restrict __format, ...) __asm__ ("" "__isoc99_scanf")
                              ;
extern int sscanf (const char *__restrict __s, const char *__restrict __format, ...) noexcept (true) __asm__ ("" "__isoc99_sscanf")

                      ;
# 459 "/usr/include/stdio.h" 3 4
extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
      __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 2, 0))) ;





extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 1, 0))) ;


extern int vsscanf (const char *__restrict __s,
      const char *__restrict __format, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__scanf__, 2, 0)));





extern int vfscanf (FILE *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc99_vfscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0))) ;
extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc99_vscanf")

     __attribute__ ((__format__ (__scanf__, 1, 0))) ;
extern int vsscanf (const char *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) noexcept (true) __asm__ ("" "__isoc99_vsscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0)));
# 513 "/usr/include/stdio.h" 3 4
extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);





extern int getchar (void);






extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
# 538 "/usr/include/stdio.h" 3 4
extern int fgetc_unlocked (FILE *__stream);
# 549 "/usr/include/stdio.h" 3 4
extern int fputc (int __c, FILE *__stream);
extern int putc (int __c, FILE *__stream);





extern int putchar (int __c);
# 565 "/usr/include/stdio.h" 3 4
extern int fputc_unlocked (int __c, FILE *__stream);







extern int putc_unlocked (int __c, FILE *__stream);
extern int putchar_unlocked (int __c);






extern int getw (FILE *__stream);


extern int putw (int __w, FILE *__stream);







extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     __attribute__ ((__access__ (__write_only__, 1, 2)));
# 615 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream)
    __attribute__ ((__access__ (__write_only__, 1, 2)));
# 632 "/usr/include/stdio.h" 3 4
extern __ssize_t __getdelim (char **__restrict __lineptr,
                             size_t *__restrict __n, int __delimiter,
                             FILE *__restrict __stream) ;
extern __ssize_t getdelim (char **__restrict __lineptr,
                           size_t *__restrict __n, int __delimiter,
                           FILE *__restrict __stream) ;







extern __ssize_t getline (char **__restrict __lineptr,
                          size_t *__restrict __n,
                          FILE *__restrict __stream) ;







extern int fputs (const char *__restrict __s, FILE *__restrict __stream);





extern int puts (const char *__s);






extern int ungetc (int __c, FILE *__stream);






extern size_t fread (void *__restrict __ptr, size_t __size,
       size_t __n, FILE *__restrict __stream) ;




extern size_t fwrite (const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s);
# 691 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream);
# 702 "/usr/include/stdio.h" 3 4
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) ;
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream);







extern int fseek (FILE *__stream, long int __off, int __whence);




extern long int ftell (FILE *__stream) ;




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




extern __off_t ftello (FILE *__stream) ;
# 760 "/usr/include/stdio.h" 3 4
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);




extern int fsetpos (FILE *__stream, const fpos_t *__pos);
# 779 "/usr/include/stdio.h" 3 4
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence);
extern __off64_t ftello64 (FILE *__stream) ;
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos);
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos);



extern void clearerr (FILE *__stream) noexcept (true);

extern int feof (FILE *__stream) noexcept (true) ;

extern int ferror (FILE *__stream) noexcept (true) ;



extern void clearerr_unlocked (FILE *__stream) noexcept (true);
extern int feof_unlocked (FILE *__stream) noexcept (true) ;
extern int ferror_unlocked (FILE *__stream) noexcept (true) ;







extern void perror (const char *__s);




extern int fileno (FILE *__stream) noexcept (true) ;




extern int fileno_unlocked (FILE *__stream) noexcept (true) ;
# 823 "/usr/include/stdio.h" 3 4
extern int pclose (FILE *__stream);





extern FILE *popen (const char *__command, const char *__modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (pclose, 1))) ;






extern char *ctermid (char *__s) noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1)));





extern char *cuserid (char *__s)
  __attribute__ ((__access__ (__write_only__, 1)));




struct obstack;


extern int obstack_printf (struct obstack *__restrict __obstack,
      const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
       const char *__restrict __format,
       __gnuc_va_list __args)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0)));







extern void flockfile (FILE *__stream) noexcept (true);



extern int ftrylockfile (FILE *__stream) noexcept (true) ;


extern void funlockfile (FILE *__stream) noexcept (true);
# 885 "/usr/include/stdio.h" 3 4
extern int __uflow (FILE *);
extern int __overflow (FILE *, int);
# 902 "/usr/include/stdio.h" 3 4
}
# 2 "mixer0.cpp" 2
# 1 "/usr/include/c++/11/vector" 1 3
# 58 "/usr/include/c++/11/vector" 3
       
# 59 "/usr/include/c++/11/vector" 3

# 1 "/usr/include/c++/11/bits/stl_algobase.h" 1 3
# 59 "/usr/include/c++/11/bits/stl_algobase.h" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 1 3
# 278 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}
# 300 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 586 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/os_defines.h" 1 3
# 587 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3


# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/cpu_defines.h" 1 3
# 590 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3
# 777 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
# 1 "/usr/include/c++/11/pstl/pstl_config.h" 1 3
# 778 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3
# 60 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/functexcept.h" 1 3
# 40 "/usr/include/c++/11/bits/functexcept.h" 3
# 1 "/usr/include/c++/11/bits/exception_defines.h" 1 3
# 41 "/usr/include/c++/11/bits/functexcept.h" 2 3

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



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


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

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


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

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


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

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

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

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

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

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

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

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

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

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


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

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


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


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


  void
  __throw_bad_function_call() __attribute__((__noreturn__));


}
# 61 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/cpp_type_traits.h" 1 3
# 35 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
       
# 36 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
# 67 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
extern "C++" {

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


  struct __true_type { };
  struct __false_type { };

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

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



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


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

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


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

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




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





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

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

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

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


  template<>
    struct __is_integer<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 184 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

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


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

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

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

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

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

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

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

  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 270 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
template<> struct __is_integer<__int128> { enum { __value = 1 }; typedef __true_type __type; }; template<> struct __is_integer<unsigned __int128> { enum { __value = 1 }; typedef __true_type __type; };
# 287 "/usr/include/c++/11/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;
    };


  enum class byte : unsigned char;

  template<>
    struct __is_byte<byte>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 423 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<typename> struct iterator_traits;


  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable
    {
      enum { __value = __is_trivially_copyable(_Tp) };
    };




  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable<volatile _Tp>
    {
      enum { __value = 0 };
    };


  template<typename _OutputIter, typename _InputIter>
    struct __memcpyable
    {
      enum { __value = 0 };
    };

  template<typename _Tp>
    struct __memcpyable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcpyable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };






  template<typename _Iter1, typename _Iter2>
    struct __memcmpable
    {
      enum { __value = 0 };
    };


  template<typename _Tp>
    struct __memcmpable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<const _Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };







  template<typename _Tp, bool _TreatAsBytes =



 __is_byte<_Tp>::__value

    >
    struct __is_memcmp_ordered
    {
      static const bool __value = _Tp(-1) > _Tp(1);
    };

  template<typename _Tp>
    struct __is_memcmp_ordered<_Tp, false>
    {
      static const bool __value = false;
    };


  template<typename _Tp, typename _Up, bool = sizeof(_Tp) == sizeof(_Up)>
    struct __is_memcmp_ordered_with
    {
      static const bool __value = __is_memcmp_ordered<_Tp>::__value
 && __is_memcmp_ordered<_Up>::__value;
    };

  template<typename _Tp, typename _Up>
    struct __is_memcmp_ordered_with<_Tp, _Up, false>
    {
      static const bool __value = false;
    };
# 532 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<>
    struct __is_memcmp_ordered_with<std::byte, std::byte, true>
    { static constexpr bool __value = true; };

  template<typename _Tp, bool _SameSize>
    struct __is_memcmp_ordered_with<_Tp, std::byte, _SameSize>
    { static constexpr bool __value = false; };

  template<typename _Up, bool _SameSize>
    struct __is_memcmp_ordered_with<std::byte, _Up, _SameSize>
    { static constexpr bool __value = false; };





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



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


}
}
# 62 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/ext/type_traits.h" 1 3
# 32 "/usr/include/c++/11/ext/type_traits.h" 3
       
# 33 "/usr/include/c++/11/ext/type_traits.h" 3




extern "C++" {

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



  template<bool, typename>
    struct __enable_if
    { };

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



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

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



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

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

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

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

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

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

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

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


  template<>
    struct __add_unsigned<bool>;

  template<>
    struct __add_unsigned<wchar_t>;



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

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

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

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

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

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

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

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


  template<>
    struct __remove_unsigned<bool>;

  template<>
    struct __remove_unsigned<wchar_t>;



  template<typename _Type>
    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>
    using __promoted_t = decltype((typename __promote<_Tp>::__type(0) + ...));


  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 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/ext/numeric_traits.h" 1 3
# 32 "/usr/include/c++/11/ext/numeric_traits.h" 3
       
# 33 "/usr/include/c++/11/ext/numeric_traits.h" 3




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

# 50 "/usr/include/c++/11/ext/numeric_traits.h" 3
  template<typename _Tp>
    struct __is_integer_nonstrict
    : public std::__is_integer<_Tp>
    {
      using std::__is_integer<_Tp>::__value;


      enum { __width = __value ? sizeof(_Tp) * 8 : 0 };
    };

  template<typename _Value>
    struct __numeric_traits_integer
    {

      static_assert(__is_integer_nonstrict<_Value>::__value,
      "invalid specialization");




      static const bool __is_signed = (_Value)(-1) < 0;
      static const int __digits
 = __is_integer_nonstrict<_Value>::__width - __is_signed;


      static const _Value __max = __is_signed
 ? (((((_Value)1 << (__digits - 1)) - 1) << 1) + 1)
 : ~(_Value)0;
      static const _Value __min = __is_signed ? -__max - 1 : (_Value)0;
    };

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

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

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

  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
# 135 "/usr/include/c++/11/ext/numeric_traits.h" 3
  template<typename _Tp>
    using __int_traits = __numeric_traits_integer<_Tp>;
# 155 "/usr/include/c++/11/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 __numeric_traits_integer<_Value>
    { };

  template<>
    struct __numeric_traits<float>
    : public __numeric_traits_floating<float>
    { };

  template<>
    struct __numeric_traits<double>
    : public __numeric_traits_floating<double>
    { };

  template<>
    struct __numeric_traits<long double>
    : public __numeric_traits_floating<long double>
    { };
# 236 "/usr/include/c++/11/ext/numeric_traits.h" 3

}
# 64 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_pair.h" 1 3
# 59 "/usr/include/c++/11/bits/stl_pair.h" 3
# 1 "/usr/include/c++/11/bits/move.h" 1 3
# 38 "/usr/include/c++/11/bits/move.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







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




}

# 1 "/usr/include/c++/11/type_traits" 1 3
# 32 "/usr/include/c++/11/type_traits" 3
       
# 33 "/usr/include/c++/11/type_traits" 3







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


  template<typename... _Elements>
    class tuple;

  template<typename _Tp>
    class reference_wrapper;
# 64 "/usr/include/c++/11/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;


  using true_type = integral_constant<bool, true>;


  using false_type = integral_constant<bool, false>;



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






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




  template<bool, typename, typename>
    struct conditional;


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

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

  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)>
    { };





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




  template<typename... _Bn>
    struct conjunction
    : __and_<_Bn...>
    { };

  template<typename... _Bn>
    struct disjunction
    : __or_<_Bn...>
    { };

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




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

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

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





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


  template<typename>
    struct __is_array_unknown_bounds;




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

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






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

  struct __failure_type
  { };


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



  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<__remove_cv_t<_Tp>>::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 { };
# 310 "/usr/include/c++/11/type_traits" 3
  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 { };




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

  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
# 391 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<__remove_cv_t<_Tp>>::type
    { };


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

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

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

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


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




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


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

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

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

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

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


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


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

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


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

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

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

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


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

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

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


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


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


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


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


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

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

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



  template<typename>
    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<__remove_cv_t<_Tp>>::type
    { };



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




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


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

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



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

  template<typename, typename>
    struct is_same;


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


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

   , signed __int128
# 637 "/usr/include/c++/11/type_traits" 3
   >;


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

   , unsigned __int128
# 656 "/usr/include/c++/11/type_traits" 3
   >;


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


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



  template<typename _Tp, typename = void>
    struct __is_referenceable
    : public false_type
    { };

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


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


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





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




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


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


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





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



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


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

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



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


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };


  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>>>
    { };
# 842 "/usr/include/c++/11/type_traits" 3
  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

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

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

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

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

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

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



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







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

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

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

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

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

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

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



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


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



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


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


  template<typename _Tp, 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_impl<_Tp, const _Tp&>
    { };



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


  template<typename _Tp, 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_impl<_Tp, _Tp&&>
    { };



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


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



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


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


  template<typename _Tp, 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_impl<_Tp, const _Tp&>
    { };



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


  template<typename _Tp, 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_impl<_Tp, _Tp&&>
    { };



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


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

  template<typename _Tp, 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 __bool_constant<__is_assignable(_Tp&, const _Tp&)>
    { };


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

  template<typename _Tp, 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 __bool_constant<__is_assignable(_Tp&, _Tp&&)>
    { };


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

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


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

  template<typename _Tp, 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_impl<_Tp&, const _Tp&>
    { };


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

  template<typename _Tp, 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_impl<_Tp&, _Tp&&>
    { };


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


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


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

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

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

    static false_type __test(...);
  };

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

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

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

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

  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_impl<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, _Tp&&)>>
    { };


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


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

  template<typename _Tp, 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 __bool_constant<__is_trivially_assignable(_Tp&, const _Tp&)>
    { };


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

  template<typename _Tp, 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 __bool_constant<__is_trivially_assignable(_Tp&, _Tp&&)>
    { };


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


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



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





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


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

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

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


  template<typename, unsigned _Uint>
    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 _Tp, typename _Up>
    struct is_same

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



    { };
# 1420 "/usr/include/c++/11/type_traits" 3
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };

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

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    {
      template<typename _To1>
 static void __test_aux(_To1) noexcept;

      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;
    };
#pragma GCC diagnostic pop


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


  template<typename _ToElementType, typename _FromElementType>
    using __is_array_convertible
      = is_convertible<_FromElementType(*)[], _ToElementType(*)[]>;

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

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  template<typename _From, typename _To>
    class __is_nt_convertible_helper<_From, _To, false>
    {
      template<typename _To1>
 static void __test_aux(_To1) noexcept;

      template<typename _From1, typename _To1>
 static
 __bool_constant<noexcept(__test_aux<_To1>(std::declval<_From1>()))>
 __test(int);

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

    public:
      using type = decltype(__test<_From, _To>(0));
    };
#pragma GCC diagnostic pop
# 1512 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp>
    struct remove_const
    { typedef _Tp type; };

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


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

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


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

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

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

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


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


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


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






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


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


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


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


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


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





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

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

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

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

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


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

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

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


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



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


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


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







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

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

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

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

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

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

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


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

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

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

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

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

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

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


  template<>
    struct __make_unsigned<__int128>
    { typedef unsigned __int128 __type; };
# 1736 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

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

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

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

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

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

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

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


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

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

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

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






  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };
# 1812 "/usr/include/c++/11/type_traits" 3
  template<>
    struct __make_unsigned<char16_t>
    {
      using __type
 = typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

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






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


  template<>
    struct make_unsigned<bool>;




  template<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; };


  template<>
    struct __make_signed<unsigned __int128>
    { typedef __int128 __type; };
# 1892 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;

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

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


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

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






  template<>
    struct __make_signed<wchar_t>
    {
      using __type
 = typename __make_signed_selector<wchar_t, false, true>::__type;
    };
# 1940 "/usr/include/c++/11/type_traits" 3
  template<>
    struct __make_signed<char16_t>
    {
      using __type
 = typename __make_signed_selector<char16_t, false, true>::__type;
    };

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






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


  template<>
    struct make_signed<bool>;



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


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





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

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

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


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

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

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



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


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




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

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


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

  template<typename _Tp, 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;
      };
    };
# 2076 "/usr/include/c++/11/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;
    };
# 2115 "/usr/include/c++/11/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 __remove_cv_t<_Up> __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>
    struct __strip_reference_wrapper
    {
      typedef _Tp __type;
    };

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


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

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




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


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




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


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


  template<typename _Tp>
    using __remove_cvref_t
     = typename remove_cv<typename remove_reference<_Tp>::type>::type;




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


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


  template<typename... _Tp>
    struct common_type;




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



    template<typename _Tp, typename _Up>
      static __success_type<__decay_t<__cond_t<_Tp, _Up>>>
      _S_test(int);
# 2255 "/usr/include/c++/11/type_traits" 3
    template<typename, typename>
      static __failure_type
      _S_test_2(...);

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


  template<>
    struct common_type<>
    { };


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


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


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

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


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


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

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

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


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




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


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

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

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



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


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






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


  template<typename _Signature>
    struct result_of;






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


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


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

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

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


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

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

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


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

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

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


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

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

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

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef __remove_cvref_t<_Arg> _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__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_reference<_Arg>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<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 = __remove_cvref_t<_Tp>>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

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

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

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

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


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

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

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


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


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



  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 _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;
# 2649 "/usr/include/c++/11/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };

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


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


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

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


  namespace __swappable_details {
    using std::swap;

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

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

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

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

  }

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

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

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

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







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


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



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


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



  namespace __swappable_with_details {
    using std::swap;

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

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

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

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

  }

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


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

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


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



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


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



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


  template<typename _Tp, typename _Up>
    inline constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;
# 2876 "/usr/include/c++/11/type_traits" 3
  template<typename _Result, typename _Ret,
    bool = is_void<_Ret>::value, typename = void>
    struct __is_invocable_impl
    : false_type
    {
      using __nothrow_type = false_type;
    };


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

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

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



      static typename _Result::type _S_get() noexcept;

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


      template<typename _Tp, bool _Check_Noex = false,
        typename = decltype(_S_conv<_Tp>(_S_get())),
        bool _Noex = noexcept(_S_conv<_Tp>(_S_get()))>
 static __bool_constant<_Check_Noex ? _Noex : true>
 _S_test(int);

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

    public:

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


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

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

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

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

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

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

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

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

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


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

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






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


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


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


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


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


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



  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };
# 3094 "/usr/include/c++/11/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_array_v = is_array<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v =
    is_lvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v =
    is_rvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    is_member_object_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    is_member_function_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_enum_v = is_enum<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_union_v = is_union<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_class_v = is_class<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_function_v = is_function<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_reference_v = is_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_object_v = is_object<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_const_v = is_const<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_volatile_v = is_volatile<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivial_v = is_trivial<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v =
    is_trivially_copyable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value;
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
template <typename _Tp>
 
  inline constexpr bool is_pod_v = is_pod<_Tp>::value;
template <typename _Tp>
  [[__deprecated__]]
  inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value;
#pragma GCC diagnostic pop
 template <typename _Tp>
  inline constexpr bool is_empty_v = is_empty<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_abstract_v = is_abstract<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_final_v = is_final<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v =
    is_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_default_constructible_v =
    is_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v =
    is_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_constructible_v =
    is_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v =
    is_trivially_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v =
    is_trivially_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v =
    is_trivially_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v =
    is_trivially_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v =
    is_trivially_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v =
    is_trivially_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v =
    is_trivially_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v =
    is_nothrow_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v =
    is_nothrow_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v =
    is_nothrow_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v =
    is_nothrow_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v =
    is_nothrow_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v =
    is_nothrow_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v =
    is_nothrow_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v =
    has_virtual_destructor<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t rank_v = rank<_Tp>::value;
template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = extent<_Tp, _Idx>::value;

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




template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value;
template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_v
    = is_nothrow_invocable<_Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_r_v
    = is_invocable_r<_Ret, _Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_r_v
    = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;





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


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





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


  template<typename _Tp>
    inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value;
# 3598 "/usr/include/c++/11/type_traits" 3

}
# 58 "/usr/include/c++/11/bits/move.h" 2 3

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

# 74 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }







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






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


  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
# 121 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 142 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    inline constexpr _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



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


  template <typename _Tp, typename _Up = _Tp>
   
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 186 "/usr/include/c++/11/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]);
    }



}
# 60 "/usr/include/c++/11/bits/stl_pair.h" 2 3
# 69 "/usr/include/c++/11/bits/stl_pair.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 80 "/usr/include/c++/11/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  inline constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();




  template<typename...>
    class tuple;

  template<size_t...>
    struct _Index_tuple;






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

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

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

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

      template <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;
      }
  };


  template<typename _U1, typename _U2> class __pair_base
  {

    template<typename _T1, typename _T2> friend struct pair;
    __pair_base() = default;
    ~__pair_base() = default;
    __pair_base(const __pair_base&) = default;
    __pair_base& operator=(const __pair_base&) = delete;

  };
# 210 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    : private __pair_base<_T1, _T2>
    {
      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() { }
# 256 "/usr/include/c++/11/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) { }
# 288 "/usr/include/c++/11/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&>::type __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(typename conditional<
  __and_<is_move_assignable<_T1>,
         is_move_assignable<_T2>>::value,
  pair&&, __nonesuch&&>::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, size_t... _Indexes1,
        typename... _Args2, size_t... _Indexes2>

        pair(tuple<_Args1...>&, tuple<_Args2...>&,
      _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);

    };




  template<typename _T1, typename _T2> pair(_T1, _T2) -> pair<_T1, _T2>;



  template<typename _T1, typename _T2>
    inline constexpr bool
    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first == __y.first && __x.second == __y.second; }
# 487 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first < __y.first
      || (!(__y.first < __x.first) && __x.second < __y.second); }


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


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


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


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }
# 524 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline


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



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


  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;
# 564 "/usr/include/c++/11/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));
    }
# 583 "/usr/include/c++/11/bits/stl_pair.h" 3

}
# 65 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 1 3
# 62 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
       
# 63 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
# 74 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 93 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  struct input_iterator_tag { };


  struct output_iterator_tag { };


  struct forward_iterator_tag : public input_iterator_tag { };



  struct bidirectional_iterator_tag : public forward_iterator_tag { };



  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
# 125 "/usr/include/c++/11/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;
    };
# 149 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator>
    struct iterator_traits;




  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };



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


  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 209 "/usr/include/c++/11/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(); }




  template<typename _Iter>
    using __iterator_category_t
      = typename iterator_traits<_Iter>::iterator_category;

  template<typename _InIter>
    using _RequireInputIter =
      __enable_if_t<is_convertible<__iterator_category_t<_InIter>,
       input_iterator_tag>::value>;

  template<typename _It,
    typename _Cat = __iterator_category_t<_It>>
    struct __is_random_access_iter
      : is_base_of<random_access_iterator_tag, _Cat>
    {
      typedef is_base_of<random_access_iterator_tag, _Cat> _Base;
      enum { __value = _Base::value };
    };








}
# 66 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 1 3
# 62 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
       
# 63 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3

# 1 "/usr/include/c++/11/bits/concept_check.h" 1 3
# 33 "/usr/include/c++/11/bits/concept_check.h" 3
       
# 34 "/usr/include/c++/11/bits/concept_check.h" 3
# 65 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 2 3
# 1 "/usr/include/c++/11/debug/assertions.h" 1 3
# 66 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 2 3

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




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


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

     

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

  template<typename _RandomAccessIterator>
    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 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {

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

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

     
      do { if (__builtin_is_constant_evaluated() && !bool(__n >= 0)) __builtin_unreachable(); } while (false);
      while (__n--)
 ++__i;
    }

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

     

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

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

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }
# 200 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    advance(_InputIterator& __i, _Distance __n)
    {

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



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

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

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

     

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




}
# 67 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator.h" 1 3
# 67 "/usr/include/c++/11/bits/stl_iterator.h" 3
# 1 "/usr/include/c++/11/bits/ptr_traits.h" 1 3
# 42 "/usr/include/c++/11/bits/ptr_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  class __undefined;


  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 __ptr_traits_elem_1
    { };

  template<template<typename, typename...> class _SomePointer, typename _Tp,
    typename... _Args>
    struct __ptr_traits_elem_1<_SomePointer<_Tp, _Args...>>
    {
      using element_type = _Tp;
      using pointer = _SomePointer<_Tp, _Args...>;

      static pointer
      pointer_to(__make_not_void<element_type>& __e)
      { return pointer::pointer_to(__e); }
    };

  template<typename _Ptr, typename = void>
    struct __ptr_traits_elem : __ptr_traits_elem_1<_Ptr>
    { };

  template<typename _Ptr>
    struct __ptr_traits_elem<_Ptr, __void_t<typename _Ptr::element_type>>
    {
      using element_type = typename _Ptr::element_type;

      static _Ptr
      pointer_to(__make_not_void<element_type>& __e)
      { return _Ptr::pointer_to(__e); }
    };





  template<typename _Ptr>
    struct pointer_traits : __ptr_traits_elem<_Ptr>
    {
    private:
      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 difference_type
 = __detected_or_t<ptrdiff_t, __difference_type, _Ptr>;


      template<typename _Up>
        using rebind = typename __rebind<_Ptr, _Up>::type;
    };





  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->()); }
# 214 "/usr/include/c++/11/bits/ptr_traits.h" 3

}
# 68 "/usr/include/c++/11/bits/stl_iterator.h" 2 3
# 88 "/usr/include/c++/11/bits/stl_iterator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 127 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
      template<typename _Iter>
 friend class reverse_iterator;
# 146 "/usr/include/c++/11/bits/stl_iterator.h" 3
    protected:
      _Iterator current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::pointer pointer;

      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
# 177 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr
      reverse_iterator() : current() { }




      explicit constexpr
      reverse_iterator(iterator_type __x) : current(__x) { }




      constexpr
      reverse_iterator(const reverse_iterator& __x)
      : current(__x.current) { }


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






      template<typename _Iter>



 constexpr
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 : current(__x.current) { }


      template<typename _Iter>




 constexpr
 reverse_iterator&
 operator=(const reverse_iterator<_Iter>& __x)
 {
   current = __x.current;
   return *this;
 }





      constexpr iterator_type
      base() const
      { return current; }
# 241 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      constexpr pointer
      operator->() const




      {


 _Iterator __tmp = current;
 --__tmp;
 return _S_to_pointer(__tmp);
      }






      constexpr reverse_iterator&
      operator++()
      {
 --current;
 return *this;
      }






      constexpr reverse_iterator
      operator++(int)
      {
 reverse_iterator __tmp = *this;
 --current;
 return __tmp;
      }






      constexpr reverse_iterator&
      operator--()
      {
 ++current;
 return *this;
      }






      constexpr reverse_iterator
      operator--(int)
      {
 reverse_iterator __tmp = *this;
 ++current;
 return __tmp;
      }






      constexpr reverse_iterator
      operator+(difference_type __n) const
      { return reverse_iterator(current - __n); }







      constexpr reverse_iterator&
      operator+=(difference_type __n)
      {
 current -= __n;
 return *this;
      }






      constexpr reverse_iterator
      operator-(difference_type __n) const
      { return reverse_iterator(current + __n); }







      constexpr reverse_iterator&
      operator-=(difference_type __n)
      {
 current += __n;
 return *this;
      }






      constexpr reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
# 395 "/usr/include/c++/11/bits/stl_iterator.h" 3
    private:
      template<typename _Tp>
 static constexpr _Tp*
 _S_to_pointer(_Tp* __p)
        { return __p; }

      template<typename _Tp>
 static constexpr pointer
 _S_to_pointer(_Tp __t)
        { return __t.operator->(); }
    };
# 418 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    inline constexpr bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() < __x.base(); }

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

  template<typename _Iterator>
    inline constexpr bool
    operator>(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y < __x; }

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

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




  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() > __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() != __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() >= __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() <= __y.base(); }
# 575 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline constexpr auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
       const reverse_iterator<_Iterator>& __x)
    { return reverse_iterator<_Iterator>(__x.base() - __n); }



  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    __make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }







  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }
# 616 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<reverse_iterator<_Iterator> >
      : __is_move_iterator<_Iterator>
    { };

  template<typename _Iterator>
   
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 647 "/usr/include/c++/11/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)) { }
# 687 "/usr/include/c++/11/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; }
    };
# 734 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
   
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 750 "/usr/include/c++/11/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)) { }
# 790 "/usr/include/c++/11/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; }
    };
# 837 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
   
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 857 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {







      typedef typename _Container::iterator _Iter;

    protected:
      _Container* container;
      _Iter iter;


    public:

      typedef _Container container_type;
# 889 "/usr/include/c++/11/bits/stl_iterator.h" 3
     
      insert_iterator(_Container& __x, _Iter __i)
      : container(std::__addressof(__x)), iter(__i) {}
# 925 "/usr/include/c++/11/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; }
    };
# 981 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    inline insert_iterator<_Container>
    inserter(_Container& __x, typename _Container::iterator __i)
    { return insert_iterator<_Container>(__x, __i); }





}

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

# 1003 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef std::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; }
    };
# 1152 "/usr/include/c++/11/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 __attribute__ ((__visibility__ ("default")))
{


  template<typename _Iterator, typename _Container>
   
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it.base(); }
# 1342 "/usr/include/c++/11/bits/stl_iterator.h" 3
  namespace __detail
  {
# 1358 "/usr/include/c++/11/bits/stl_iterator.h" 3
  }
# 1369 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator



    {
      _Iterator _M_current;

      using __traits_type = iterator_traits<_Iterator>;

      using __base_ref = typename __traits_type::reference;


      template<typename _Iter2>
 friend class move_iterator;
# 1408 "/usr/include/c++/11/bits/stl_iterator.h" 3
    public:
      using iterator_type = _Iterator;
# 1422 "/usr/include/c++/11/bits/stl_iterator.h" 3
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


      typedef typename conditional<is_reference<__base_ref>::value,
    typename remove_reference<__base_ref>::type&&,
    __base_ref>::type reference;


      constexpr
      move_iterator()
      : _M_current() { }

      explicit constexpr
      move_iterator(iterator_type __i)
      : _M_current(std::move(__i)) { }

      template<typename _Iter>



 constexpr
 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i._M_current) { }

      template<typename _Iter>




 constexpr
 move_iterator& operator=(const move_iterator<_Iter>& __i)
 {
   _M_current = __i._M_current;
   return *this;
 }


      constexpr iterator_type
      base() const
      { return _M_current; }
# 1476 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr reference
      operator*() const



      { return static_cast<reference>(*_M_current); }


      constexpr pointer
      operator->() const
      { return _M_current; }

      constexpr move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }

      constexpr move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }







      constexpr move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }

      constexpr move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }

      constexpr move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }

      constexpr move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }

      constexpr move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }

      constexpr move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }

      constexpr reference
      operator[](difference_type __n) const



      { return std::move(_M_current[__n]); }
# 1581 "/usr/include/c++/11/bits/stl_iterator.h" 3
    };

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return __x.base() == __y.base(); }
# 1600 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }


  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__x < __y); }




  template<typename _Iterator>
    inline constexpr bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }
# 1659 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    inline constexpr bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }

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

  template<typename _Iterator>
    inline constexpr bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }

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



  template<typename _IteratorL, typename _IteratorR>
    inline constexpr auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }

  template<typename _Iterator>
    inline constexpr move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)
    { return __x + __n; }

  template<typename _Iterator>
    inline constexpr move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(std::move(__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 constexpr _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 constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }
# 2447 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<typename _Iterator>
   
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }
# 2479 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _InputIterator>
    using __iter_key_t = remove_const_t<
    typename iterator_traits<_InputIterator>::value_type::first_type>;

  template<typename _InputIterator>
    using __iter_val_t =
    typename iterator_traits<_InputIterator>::value_type::second_type;

  template<typename _T1, typename _T2>
    struct pair;

  template<typename _InputIterator>
    using __iter_to_alloc_t =
    pair<add_const_t<__iter_key_t<_InputIterator>>,
  __iter_val_t<_InputIterator>>;



}
# 68 "/usr/include/c++/11/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/11/debug/debug.h" 1 3
# 48 "/usr/include/c++/11/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;

  template<typename _Ite, typename _Seq, typename _Cat>
    struct _Safe_iterator;
}
# 70 "/usr/include/c++/11/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/11/bits/predefined_ops.h" 1 3
# 35 "/usr/include/c++/11/bits/predefined_ops.h" 3
namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

  constexpr
  inline _Iter_less_iter
  __iter_less_iter()
  { return _Iter_less_iter(); }

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




   
    explicit
    _Iter_less_val(_Iter_less_iter) { }

    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it < __val; }
  };

 
  inline _Iter_less_val
  __iter_less_val()
  { return _Iter_less_val(); }

 
  inline _Iter_less_val
  __iter_comp_val(_Iter_less_iter)
  { return _Iter_less_val(); }

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




   
    explicit
    _Val_less_iter(_Iter_less_iter) { }

    template<typename _Value, typename _Iterator>
     
      bool
      operator()(_Value& __val, _Iterator __it) const
      { return __val < *__it; }
  };

 
  inline _Val_less_iter
  __val_less_iter()
  { return _Val_less_iter(); }

 
  inline _Val_less_iter
  __val_comp_iter(_Iter_less_iter)
  { return _Val_less_iter(); }

  struct _Iter_equal_to_iter
  {
    template<typename _Iterator1, typename _Iterator2>
     
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 == *__it2; }
  };

 
  inline _Iter_equal_to_iter
  __iter_equal_to_iter()
  { return _Iter_equal_to_iter(); }

  struct _Iter_equal_to_val
  {
    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it == __val; }
  };

 
  inline _Iter_equal_to_val
  __iter_equal_to_val()
  { return _Iter_equal_to_val(); }

 
  inline _Iter_equal_to_val
  __iter_comp_val(_Iter_equal_to_iter)
  { return _Iter_equal_to_val(); }

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

      explicit constexpr
      _Iter_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      template<typename _Iterator1, typename _Iterator2>
        constexpr
        bool
        operator()(_Iterator1 __it1, _Iterator2 __it2)
        { return bool(_M_comp(*__it1, *__it2)); }
    };

  template<typename _Compare>
    constexpr
    inline _Iter_comp_iter<_Compare>
    __iter_comp_iter(_Compare __comp)
    { return _Iter_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

     
      explicit
      _Iter_comp_val(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Iter_comp_val(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Iter_comp_val(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Iterator, typename _Value>

 bool
 operator()(_Iterator __it, _Value& __val)
 { return bool(_M_comp(*__it, __val)); }
    };

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Compare __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Iter_comp_iter<_Compare> __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

     
      explicit
      _Val_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Val_comp_iter(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Val_comp_iter(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Value, typename _Iterator>

 bool
 operator()(_Value& __val, _Iterator __it)
 { return bool(_M_comp(__val, *__it)); }
    };

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Compare __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Iter_comp_iter<_Compare> __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Value>
    struct _Iter_equals_val
    {
      _Value& _M_value;

     
      explicit
      _Iter_equals_val(_Value& __value)
 : _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

  template<typename _Value>
   
    inline _Iter_equals_val<_Value>
    __iter_equals_val(_Value& __val)
    { return _Iter_equals_val<_Value>(__val); }

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

     
      explicit
      _Iter_equals_iter(_Iterator1 __it1)
 : _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

  template<typename _Iterator>
   
    inline _Iter_equals_iter<_Iterator>
    __iter_comp_iter(_Iter_equal_to_iter, _Iterator __it)
    { return _Iter_equals_iter<_Iterator>(__it); }

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_pred(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_pred<_Predicate>
    __pred_iter(_Predicate __pred)
    { return _Iter_pred<_Predicate>(std::move(__pred)); }

  template<typename _Compare, typename _Value>
    struct _Iter_comp_to_val
    {
      _Compare _M_comp;
      _Value& _M_value;

     
      _Iter_comp_to_val(_Compare __comp, _Value& __value)
 : _M_comp(std::move(__comp)), _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

  template<typename _Compare, typename _Value>
    _Iter_comp_to_val<_Compare, _Value>
   
    __iter_comp_val(_Compare __comp, _Value &__val)
    {
      return _Iter_comp_to_val<_Compare, _Value>(std::move(__comp), __val);
    }

  template<typename _Compare, typename _Iterator1>
    struct _Iter_comp_to_iter
    {
      _Compare _M_comp;
      _Iterator1 _M_it1;

     
      _Iter_comp_to_iter(_Compare __comp, _Iterator1 __it1)
 : _M_comp(std::move(__comp)), _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

  template<typename _Compare, typename _Iterator>
   
    inline _Iter_comp_to_iter<_Compare, _Iterator>
    __iter_comp_iter(_Iter_comp_iter<_Compare> __comp, _Iterator __it)
    {
      return _Iter_comp_to_iter<_Compare, _Iterator>(
   std::move(__comp._M_comp), __it);
    }

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_negate(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_negate<_Predicate>
    __negate(_Iter_pred<_Predicate> __pred)
    { return _Iter_negate<_Predicate>(std::move(__pred._M_pred)); }

}
}
# 72 "/usr/include/c++/11/bits/stl_algobase.h" 2 3







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






  template<typename _Tp, typename _Up>
    constexpr
    inline int
    __memcmp(const _Tp* __first1, const _Up* __first2, size_t __num)
    {

      static_assert(sizeof(_Tp) == sizeof(_Up), "can be compared with memcmp");
# 105 "/usr/include/c++/11/bits/stl_algobase.h" 3
 return __builtin_memcmp(__first1, __first2, sizeof(_Tp) * __num);
    }
# 149 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 182 "/usr/include/c++/11/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 198 "/usr/include/c++/11/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;
    }
# 227 "/usr/include/c++/11/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;
    }
# 251 "/usr/include/c++/11/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;
    }
# 275 "/usr/include/c++/11/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;
    }
# 297 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__a, __b))
 return __b;
      return __a;
    }



  template<typename _Iterator>
   
    inline _Iterator
    __niter_base(_Iterator __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it; }

  template<typename _Ite, typename _Seq>
    _Ite
    __niter_base(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq,
   std::random_access_iterator_tag>&);




  template<typename _From, typename _To>
   
    inline _From
    __niter_wrap(_From __from, _To __res)
    { return __from + (__res - std::__niter_base(__from)); }


  template<typename _Iterator>
   
    inline _Iterator
    __niter_wrap(const _Iterator&, _Iterator __res)
    { return __res; }







  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = *__first;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = std::move(*__first);
   return __result;
 }
    };


  template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = *__first;
       ++__first;
       ++__result;
     }
   return __result;
 }
    };


  template<>
    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<typename _Tp, typename _Ref, typename _Ptr>
    struct _Deque_iterator;

  struct _Bit_iterator;





  template<typename _CharT>
    struct char_traits;

  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_move_a2(
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 std::_Deque_iterator<_CharT, _CharT&, _CharT*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::iterator_category _Category;





      return std::__copy_move<_IsMove, __memcpyable<_OI, _II>::__value,
         _Category>::__copy_m(__first, __last, __result);
    }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_a1(std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_a1(_II, _II, std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a1(_II __first, _II __last, _OI __result)
    { return std::__copy_move_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_a1<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_a(_II, _II,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

  template<typename _InputIterator, typename _Size, typename _OutputIterator>
   
    _OutputIterator
    __copy_n_a(_InputIterator __first, _Size __n, _OutputIterator __result,
        bool)
    {
      if (__n > 0)
 {
   while (true)
     {
       *__result = *__first;
       ++__result;
       if (--__n > 0)
  ++__first;
       else
  break;
     }
 }
      return __result;
    }

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value, _CharT*>::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >,
        _Size, _CharT*, bool);

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >, _Size,
        std::_Deque_iterator<_CharT, _CharT&, _CharT*>,
        bool);
# 608 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<__is_move_iterator<_II>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 641 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<true>(std::__miter_base(__first),
          std::__miter_base(__last), __result);
    }






  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = *--__last;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = *--__last;
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>

 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_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::iterator_category _Category;





      return std::__copy_move_backward<_IsMove,
           __memcpyable<_BI2, _BI1>::__value,
           _Category>::__copy_move_b(__first,
         __last,
         __result);
    }

  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a1(_BI1 __first, _BI1 __last, _BI2 __result)
    { return std::__copy_move_backward_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_backward_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_backward_a1(
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_backward_a1(_II, _II,
       std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_backward_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_backward_a1<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_backward_a(_II, _II,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);
# 845 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a<__is_move_iterator<_BI1>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 881 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a<true>(std::__miter_base(__first),
            std::__miter_base(__last),
            __result);
    }






  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      for (; __first != __last; ++__first)
 *__first = __value;
    }

  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
 *__first = __tmp;
    }


  template<typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a1(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
# 943 "/usr/include/c++/11/bits/stl_algobase.h" 3
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }

  template<typename _Ite, typename _Cont, typename _Tp>
   
    inline void
    __fill_a1(::__gnu_cxx::__normal_iterator<_Ite, _Cont> __first,
       ::__gnu_cxx::__normal_iterator<_Ite, _Cont> __last,
       const _Tp& __value)
    { std::__fill_a1(__first.base(), __last.base(), __value); }

  template<typename _Tp, typename _VTp>
    void
    __fill_a1(const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const _VTp&);

  void
  __fill_a1(std::_Bit_iterator, std::_Bit_iterator,
     const bool&);

  template<typename _FIte, typename _Tp>
   
    inline void
    __fill_a(_FIte __first, _FIte __last, const _Tp& __value)
    { std::__fill_a1(__first, __last, __value); }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Tp>
    void
    __fill_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const _Tp&);
# 989 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
   
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(__first, __last, __value);
    }


  inline constexpr int
  __size_to_integer(int __n) { return __n; }
  inline constexpr unsigned
  __size_to_integer(unsigned __n) { return __n; }
  inline constexpr long
  __size_to_integer(long __n) { return __n; }
  inline constexpr unsigned long
  __size_to_integer(unsigned long __n) { return __n; }
  inline constexpr long long
  __size_to_integer(long long __n) { return __n; }
  inline constexpr unsigned long long
  __size_to_integer(unsigned long long __n) { return __n; }


  inline constexpr __int128
  __size_to_integer(__int128 __n) { return __n; }
  inline constexpr unsigned __int128
  __size_to_integer(unsigned __int128 __n) { return __n; }
# 1041 "/usr/include/c++/11/bits/stl_algobase.h" 3
  inline constexpr long long
  __size_to_integer(float __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(double __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(long double __n) { return (long long)__n; }

  inline constexpr long long
  __size_to_integer(__float128 __n) { return (long long)__n; }


  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __value;
      return __first;
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __tmp;
      return __first;
    }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Size,
    typename _Tp>
    ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __fill_n_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>& __first,
        _Size __n, const _Tp& __value,
        std::input_iterator_tag);

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::output_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::input_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::random_access_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      if (__n <= 0)
 return __first;

      ;

      std::__fill_a(__first, __first + __n, __value);
      return __first + __n;
    }
# 1141 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
   
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     

      return std::__fill_n_a(__first, std::__size_to_integer(__n), __value,
          std::__iterator_category(__first));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>

 static bool
 equal(_II1 __first1, _II1 __last1, _II2 __first2)
 {
   for (; __first1 != __last1; ++__first1, (void) ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };

  template<>
    struct __equal<true>
    {
      template<typename _Tp>

 static bool
 equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
 {
   if (const size_t __len = (__last1 - __first1))
     return !std::__memcmp(__first1, __first2, __len);
   return true;
 }
    };

  template<typename _Tp, typename _Ref, typename _Ptr, typename _II>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   _II);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __equal_aux1(std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II, typename _Tp, typename _Ref, typename _Ptr>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_II, _II,
  std::_Deque_iterator<_Tp, _Ref, _Ptr>);

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux1(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      const bool __simple = ((__is_integer<_ValueType1>::__value
         || __is_pointer<_ValueType1>::__value)
        && __memcmpable<_II1, _II2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      return std::__equal_aux1(std::__niter_base(__first1),
          std::__niter_base(__last1),
          std::__niter_base(__first2));
    }

  template<typename _II1, typename _Seq1, typename _Cat1, typename _II2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  _II2);

  template<typename _II1, typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(_II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename _II1, typename _Seq1, typename _Cat1,
    typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>

 static _II1
 __newlast1(_II1, _II1 __last1, _II2, _II2)
 { return __last1; }

      template<typename _II>

 static bool
 __cnd2(_II __first, _II __last)
 { return __first != __last; }
    };

  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>

 static _RAI1
 __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
 {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }

      template<typename _RAI>
 static bool
 __cnd2(_RAI, _RAI)
 { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
   
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2,
       _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>

 static bool
 __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   using __gnu_cxx::__ops::__iter_less_iter;
   return std::__lexicographical_compare_impl(__first1, __last1,
           __first2, __last2,
           __iter_less_iter());
 }

      template<typename _II1, typename _II2>

 static int
 __3way(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   while (__first1 != __last1)
     {
       if (__first2 == __last2)
  return +1;
       if (*__first1 < *__first2)
  return -1;
       if (*__first2 < *__first1)
  return +1;
       ++__first1;
       ++__first2;
     }
   return int(__first2 == __last2) - 1;
 }
    };

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>

 static bool
 __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 { return __3way(__first1, __last1, __first2, __last2) < 0; }

      template<typename _Tp, typename _Up>

 static ptrdiff_t
 __3way(const _Tp* __first1, const _Tp* __last1,
        const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = std::__memcmp(__first1, __first2, __len))
       return __result;
   return ptrdiff_t(__len1 - __len2);
 }
    };

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux1(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
 (__is_memcmp_ordered_with<_ValueType1, _ValueType2>::__value
  && __is_pointer<_II1>::__value
  && __is_pointer<_II2>::__value







  );

      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 _Tp2*, _Tp2*);

  template<typename _Tp1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(_Tp1*, _Tp1*,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      return std::__lexicographical_compare_aux1(std::__niter_base(__first1),
       std::__niter_base(__last1),
       std::__niter_base(__first2),
       std::__niter_base(__last2));
    }

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _II2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  _II2, _II2);

  template<typename _II1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  _II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
   
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 1487 "/usr/include/c++/11/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 (int)sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr unsigned
  __lg(unsigned __n)
  { return (int)sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr long
  __lg(long __n)
  { return (int)sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr unsigned long
  __lg(unsigned long __n)
  { return (int)sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr long long
  __lg(long long __n)
  { return (int)sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }

  inline constexpr unsigned long long
  __lg(unsigned long long __n)
  { return (int)sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }


# 1543 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(__first1, __last1, __first2);
    }
# 1574 "/usr/include/c++/11/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;
    }
# 1664 "/usr/include/c++/11/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);
    }
# 1697 "/usr/include/c++/11/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);
    }
# 1729 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(__first1, __last1,
      __first2, __last2);
    }
# 1764 "/usr/include/c++/11/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));
    }
# 1877 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1905 "/usr/include/c++/11/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());
    }
# 1939 "/usr/include/c++/11/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);
    }
# 1988 "/usr/include/c++/11/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());
    }
# 2024 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }





  template<typename _InputIterator, typename _Predicate>
   
    inline _InputIterator
    __find_if(_InputIterator __first, _InputIterator __last,
       _Predicate __pred, input_iterator_tag)
    {
      while (__first != __last && !__pred(__first))
 ++__first;
      return __first;
    }


  template<typename _RandomAccessIterator, typename _Predicate>
   
    _RandomAccessIterator
    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Predicate __pred, random_access_iterator_tag)
    {
      typename iterator_traits<_RandomAccessIterator>::difference_type
 __trip_count = (__last - __first) >> 2;

      for (; __trip_count > 0; --__trip_count)
 {
   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;
 }

      switch (__last - __first)
 {
 case 3:
   if (__pred(__first))
     return __first;
   ++__first;

 case 2:
   if (__pred(__first))
     return __first;
   ++__first;

 case 1:
   if (__pred(__first))
     return __first;
   ++__first;

 case 0:
 default:
   return __last;
 }
    }

  template<typename _Iterator, typename _Predicate>
   
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
      return __find_if(__first, __last, __pred,
         std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Predicate>
   
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
 if (__pred(__first))
   ++__n;
      return __n;
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {


      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__first1 == __last1)
 return true;



      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
     __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches
     = std::__count_if(__first2, __last2,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches ||
       std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 2181 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_equal_to_iter());
    }



}
# 61 "/usr/include/c++/11/vector" 2 3



# 1 "/usr/include/c++/11/bits/allocator.h" 1 3
# 46 "/usr/include/c++/11/bits/allocator.h" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++allocator.h" 1 3
# 33 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++allocator.h" 3
# 1 "/usr/include/c++/11/ext/new_allocator.h" 1 3
# 33 "/usr/include/c++/11/ext/new_allocator.h" 3
# 1 "/usr/include/c++/11/new" 1 3
# 38 "/usr/include/c++/11/new" 3
       
# 39 "/usr/include/c++/11/new" 3


# 1 "/usr/include/c++/11/bits/exception.h" 1 3
# 34 "/usr/include/c++/11/bits/exception.h" 3
       
# 35 "/usr/include/c++/11/bits/exception.h" 3

#pragma GCC visibility push(default)



extern "C++" {

namespace std
{
# 61 "/usr/include/c++/11/bits/exception.h" 3
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;

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




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



}

}

#pragma GCC visibility pop
# 42 "/usr/include/c++/11/new" 2 3

#pragma GCC visibility push(default)

extern "C++" {

namespace std
{






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


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




    virtual ~bad_alloc() throw();


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


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



    virtual ~bad_array_new_length() throw();


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



  enum class align_val_t: size_t {};


  struct nothrow_t
  {

    explicit nothrow_t() = default;

  };

  extern const nothrow_t nothrow;



  typedef void (*new_handler)();



  new_handler set_new_handler(new_handler) throw();



  new_handler get_new_handler() noexcept;

}
# 126 "/usr/include/c++/11/new" 3
[[__nodiscard__]] void* operator new(std::size_t)
  __attribute__((__externally_visible__));
[[__nodiscard__]] void* operator new[](std::size_t)
  __attribute__((__externally_visible__));
void operator delete(void*) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*) noexcept
  __attribute__((__externally_visible__));

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

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

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

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




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


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

}



namespace std
{


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




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

  void launder(void*) = delete;
  void launder(const void*) = delete;
  void launder(volatile void*) = delete;
  void launder(const volatile void*) = delete;
}
# 230 "/usr/include/c++/11/new" 3
#pragma GCC visibility pop
# 34 "/usr/include/c++/11/ext/new_allocator.h" 2 3






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

# 54 "/usr/include/c++/11/ext/new_allocator.h" 3
  template<typename _Tp>
    class new_allocator
    {
    public:
      typedef _Tp value_type;
      typedef std::size_t size_type;
      typedef std::ptrdiff_t difference_type;

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

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





      typedef std::true_type propagate_on_container_move_assignment;


     
      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); }




      [[__nodiscard__]] _Tp*
      allocate(size_type __n, const void* = static_cast<const void*>(0))
      {



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


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


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


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

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


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

 if (alignof(_Tp) > 16)
   {
     ::operator delete(__p,

         __t * sizeof(_Tp),

         std::align_val_t(alignof(_Tp)));
     return;
   }

 ::operator delete(__p

     , __t * sizeof(_Tp)

    );
      }


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


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

      template<typename _Up>
 void
 destroy(_Up* __p)
 noexcept(std::is_nothrow_destructible<_Up>::value)
 { __p->~_Up(); }
# 181 "/usr/include/c++/11/ext/new_allocator.h" 3
      template<typename _Up>
 friend bool
 operator==(const new_allocator&, const new_allocator<_Up>&)
 noexcept
 { return true; }


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


    private:
      constexpr size_type
      _M_max_size() const noexcept
      {

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



      }
    };


}
# 34 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++allocator.h" 2 3


namespace std
{
# 47 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++allocator.h" 3
  template<typename _Tp>
    using __allocator_base = __gnu_cxx::new_allocator<_Tp>;
}
# 47 "/usr/include/c++/11/bits/allocator.h" 2 3
# 1 "/usr/include/c++/11/bits/memoryfwd.h" 1 3
# 46 "/usr/include/c++/11/bits/memoryfwd.h" 3
       
# 47 "/usr/include/c++/11/bits/memoryfwd.h" 3



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

# 63 "/usr/include/c++/11/bits/memoryfwd.h" 3
  template<typename>
    class allocator;

  template<>
    class allocator<void>;



  template<typename, typename>
    struct uses_allocator;

  template<typename>
    struct allocator_traits;





}
# 48 "/usr/include/c++/11/bits/allocator.h" 2 3






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

# 71 "/usr/include/c++/11/bits/allocator.h" 3
  template<>
    class allocator<void>
    {
    public:
      typedef void value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;



      typedef void* pointer;
      typedef const void* const_pointer;

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





      using propagate_on_container_move_assignment = true_type;

      using is_always_equal

 = true_type;
# 113 "/usr/include/c++/11/bits/allocator.h" 3
    };
# 123 "/usr/include/c++/11/bits/allocator.h" 3
  template<typename _Tp>
    class allocator : public __allocator_base<_Tp>
    {
    public:
      typedef _Tp value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;



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

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





      using propagate_on_container_move_assignment = true_type;

      using is_always_equal

 = true_type;




     
      allocator() noexcept { }

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



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


      template<typename _Tp1>

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




      ~allocator() noexcept { }
# 203 "/usr/include/c++/11/bits/allocator.h" 3
      friend bool
      operator==(const allocator&, const allocator&) noexcept
      { return true; }


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



    };

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


  template<typename _T1, typename _T2>
    inline bool
    operator!=(const allocator<_T1>&, const allocator<_T2>&)
    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; }



      }
    };



}
# 65 "/usr/include/c++/11/vector" 2 3
# 1 "/usr/include/c++/11/bits/stl_construct.h" 1 3
# 73 "/usr/include/c++/11/bits/stl_construct.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template <typename _Tp>
    inline void
    destroy_at(_Tp* __location)
    {
      if constexpr (201703L > 201703L && is_array_v<_Tp>)
 {
   for (auto& __x : *__location)
     std::destroy_at(std::__addressof(__x));
 }
      else
 __location->~_Tp();
    }
# 106 "/usr/include/c++/11/bits/stl_construct.h" 3
  template<typename _Tp, typename... _Args>
   
    inline void
    _Construct(_Tp* __p, _Args&&... __args)
    {
# 119 "/usr/include/c++/11/bits/stl_construct.h" 3
      ::new((void*)__p) _Tp(std::forward<_Args>(__args)...);
    }
# 132 "/usr/include/c++/11/bits/stl_construct.h" 3
  template<typename _T1>
    inline void
    _Construct_novalue(_T1* __p)
    { ::new((void*)__p) _T1; }

  template<typename _ForwardIterator>
    void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last);




  template<typename _Tp>
    constexpr inline void
    _Destroy(_Tp* __pointer)
    {



      __pointer->~_Tp();

    }

  template<bool>
    struct _Destroy_aux
    {
      template<typename _ForwardIterator>
 static void
 __destroy(_ForwardIterator __first, _ForwardIterator __last)
 {
   for (; __first != __last; ++__first)
     std::_Destroy(std::__addressof(*__first));
 }
    };

  template<>
    struct _Destroy_aux<true>
    {
      template<typename _ForwardIterator>
        static void
        __destroy(_ForwardIterator, _ForwardIterator) { }
    };






  template<typename _ForwardIterator>
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");





      std::_Destroy_aux<__has_trivial_destructor(_Value_type)>::
 __destroy(__first, __last);
    }

  template<bool>
    struct _Destroy_n_aux
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __destroy_n(_ForwardIterator __first, _Size __count)
 {
   for (; __count > 0; (void)++__first, --__count)
     std::_Destroy(std::__addressof(*__first));
   return __first;
 }
    };

  template<>
    struct _Destroy_n_aux<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __destroy_n(_ForwardIterator __first, _Size __count)
 {
   std::advance(__first, __count);
   return __first;
 }
    };






  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    _Destroy_n(_ForwardIterator __first, _Size __count)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;


      static_assert(is_destructible<_Value_type>::value,
      "value type is destructible");





      return std::_Destroy_n_aux<__has_trivial_destructor(_Value_type)>::
 __destroy_n(__first, __count);
    }


  template <typename _ForwardIterator>
    inline void
    destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      std::_Destroy(__first, __last);
    }

  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    destroy_n(_ForwardIterator __first, _Size __count)
    {
      return std::_Destroy_n(__first, __count);
    }



}
# 66 "/usr/include/c++/11/vector" 2 3
# 1 "/usr/include/c++/11/bits/stl_uninitialized.h" 1 3
# 64 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
# 1 "/usr/include/c++/11/ext/alloc_traits.h" 1 3
# 32 "/usr/include/c++/11/ext/alloc_traits.h" 3
       
# 33 "/usr/include/c++/11/ext/alloc_traits.h" 3

# 1 "/usr/include/c++/11/bits/alloc_traits.h" 1 3
# 41 "/usr/include/c++/11/bits/alloc_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{






  struct __allocator_traits_base
  {
    template<typename _Tp, typename _Up, typename = void>
      struct __rebind : __replace_first_arg<_Tp, _Up> { };

    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;
# 89 "/usr/include/c++/11/bits/alloc_traits.h" 3
  template<typename _Alloc>
    struct allocator_traits : __allocator_traits_base
    {

      typedef _Alloc allocator_type;

      typedef typename _Alloc::value_type value_type;






      using pointer = __detected_or_t<value_type*, __pointer, _Alloc>;

    private:

      template<template<typename> class _Func, typename _Tp, typename = void>
 struct _Ptr
 {
   using type = typename pointer_traits<pointer>::template rebind<_Tp>;
 };

      template<template<typename> class _Func, typename _Tp>
 struct _Ptr<_Func, _Tp, __void_t<_Func<_Alloc>>>
 {
   using type = _Func<_Alloc>;
 };


      template<typename _A2, typename _PtrT, typename = void>
 struct _Diff
 { using type = typename pointer_traits<_PtrT>::difference_type; };

      template<typename _A2, typename _PtrT>
 struct _Diff<_A2, _PtrT, __void_t<typename _A2::difference_type>>
 { using type = typename _A2::difference_type; };


      template<typename _A2, typename _DiffT, typename = void>
 struct _Size : make_unsigned<_DiffT> { };

      template<typename _A2, typename _DiffT>
 struct _Size<_A2, _DiffT, __void_t<typename _A2::size_type>>
 { using type = typename _A2::size_type; };

    public:






      using const_pointer = typename _Ptr<__c_pointer, const value_type>::type;







      using void_pointer = typename _Ptr<__v_pointer, void>::type;







      using const_void_pointer = typename _Ptr<__cv_pointer, const void>::type;







      using difference_type = typename _Diff<_Alloc, pointer>::type;







      using size_type = typename _Size<_Alloc, difference_type>::type;







      using propagate_on_container_copy_assignment
 = __detected_or_t<false_type, __pocca, _Alloc>;







      using propagate_on_container_move_assignment
 = __detected_or_t<false_type, __pocma, _Alloc>;







      using propagate_on_container_swap
 = __detected_or_t<false_type, __pocs, _Alloc>;







      using is_always_equal
 = __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 constexpr auto
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint, int)
 -> decltype(__a.allocate(__n, __hint))
 { return __a.allocate(__n, __hint); }

      template<typename _Alloc2>
 static constexpr pointer
 _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer, ...)
 { return __a.allocate(__n); }

      template<typename _Tp, typename... _Args>
 struct __construct_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->construct(
    std::declval<_Tp*>(), std::declval<_Args>()...))>
     static true_type __test(int);

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

   using type = decltype(__test<_Alloc>(0));
 };

      template<typename _Tp, typename... _Args>
 using __has_construct
   = typename __construct_helper<_Tp, _Args...>::type;

      template<typename _Tp, typename... _Args>
 static constexpr _Require<__has_construct<_Tp, _Args...>>
 _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(__a.construct(__p, std::forward<_Args>(__args)...)))
 { __a.construct(__p, std::forward<_Args>(__args)...); }

      template<typename _Tp, typename... _Args>
 static constexpr
 _Require<__and_<__not_<__has_construct<_Tp, _Args...>>,
          is_constructible<_Tp, _Args...>>>
 _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Tp, _Args...>::value)
 {

   ::new((void*)__p) _Tp(std::forward<_Args>(__args)...);



 }

      template<typename _Alloc2, typename _Tp>
 static constexpr auto
 _S_destroy(_Alloc2& __a, _Tp* __p, int)
 noexcept(noexcept(__a.destroy(__p)))
 -> decltype(__a.destroy(__p))
 { __a.destroy(__p); }

      template<typename _Alloc2, typename _Tp>
 static constexpr void
 _S_destroy(_Alloc2&, _Tp* __p, ...)
 noexcept(std::is_nothrow_destructible<_Tp>::value)
 { std::_Destroy(__p); }

      template<typename _Alloc2>
 static constexpr auto
 _S_max_size(_Alloc2& __a, int)
 -> decltype(__a.max_size())
 { return __a.max_size(); }

      template<typename _Alloc2>
 static constexpr size_type
 _S_max_size(_Alloc2&, ...)
 {


   return __gnu_cxx::__numeric_traits<size_type>::__max
     / sizeof(value_type);
 }

      template<typename _Alloc2>
 static constexpr auto
 _S_select(_Alloc2& __a, int)
 -> decltype(__a.select_on_container_copy_construction())
 { return __a.select_on_container_copy_construction(); }

      template<typename _Alloc2>
 static constexpr _Alloc2
 _S_select(_Alloc2& __a, ...)
 { return __a; }

    public:
# 316 "/usr/include/c++/11/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
# 331 "/usr/include/c++/11/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint, 0); }
# 343 "/usr/include/c++/11/bits/alloc_traits.h" 3
      static void
      deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 358 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Tp, typename... _Args>
 static auto
 construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 noexcept(noexcept(_S_construct(__a, __p,
           std::forward<_Args>(__args)...)))
 -> decltype(_S_construct(__a, __p, std::forward<_Args>(__args)...))
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
# 374 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Tp>
 static void
 destroy(_Alloc& __a, _Tp* __p)
 noexcept(noexcept(_S_destroy(__a, __p, 0)))
 { _S_destroy(__a, __p, 0); }
# 388 "/usr/include/c++/11/bits/alloc_traits.h" 3
      static size_type
      max_size(const _Alloc& __a) noexcept
      { return _S_max_size(__a, 0); }
# 400 "/usr/include/c++/11/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>>;
# 462 "/usr/include/c++/11/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(allocator_type& __a, size_type __n)
      { return __a.allocate(__n); }
# 476 "/usr/include/c++/11/bits/alloc_traits.h" 3
      [[__nodiscard__]] static pointer
      allocate(allocator_type& __a, size_type __n, const_void_pointer __hint)
      {

 return __a.allocate(__n, __hint);



      }
# 494 "/usr/include/c++/11/bits/alloc_traits.h" 3
      static void
      deallocate(allocator_type& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
# 509 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type& __a __attribute__((__unused__)), _Up* __p,
    _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Up, _Args...>::value)
 {

   __a.construct(__p, std::forward<_Args>(__args)...);



 }
# 529 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type& __a __attribute__((__unused__)), _Up* __p)
 noexcept(is_nothrow_destructible<_Up>::value)
 {

   __a.destroy(__p);



 }






      static size_type
      max_size(const allocator_type& __a __attribute__((__unused__))) noexcept
      {

 return __a.max_size();



      }






      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };


  template<>
    struct allocator_traits<allocator<void>>
    {

      using allocator_type = allocator<void>;


      using value_type = void;


      using pointer = void*;


      using const_pointer = const void*;


      using void_pointer = void*;


      using const_void_pointer = const void*;


      using difference_type = std::ptrdiff_t;


      using size_type = std::size_t;


      using propagate_on_container_copy_assignment = false_type;


      using propagate_on_container_move_assignment = true_type;


      using propagate_on_container_swap = false_type;


      using is_always_equal = true_type;

      template<typename _Up>
 using rebind_alloc = allocator<_Up>;

      template<typename _Up>
 using rebind_traits = allocator_traits<allocator<_Up>>;


      static void*
      allocate(allocator_type&, size_type, const void* = nullptr) = delete;


      static void
      deallocate(allocator_type&, void*, size_type) = delete;
# 631 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Up, typename... _Args>
 static void
 construct(allocator_type&, _Up* __p, _Args&&... __args)
 noexcept(std::is_nothrow_constructible<_Up, _Args...>::value)
 { std::_Construct(__p, std::forward<_Args>(__args)...); }
# 644 "/usr/include/c++/11/bits/alloc_traits.h" 3
      template<typename _Up>
 static void
 destroy(allocator_type&, _Up* __p)
 noexcept(is_nothrow_destructible<_Up>::value)
 { std::_Destroy(__p); }


      static size_type
      max_size(const allocator_type&) = delete;






      static allocator_type
      select_on_container_copy_construction(const allocator_type& __rhs)
      { return __rhs; }
    };
# 676 "/usr/include/c++/11/bits/alloc_traits.h" 3
  template<typename _Alloc>
    constexpr inline void
    __alloc_on_copy(_Alloc& __one, const _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_copy_assignment __pocca;

      if constexpr (__pocca::value)
 __one = __two;



    }

  template<typename _Alloc>
    constexpr _Alloc
    __alloc_on_copy(const _Alloc& __a)
    {
      typedef allocator_traits<_Alloc> __traits;
      return __traits::select_on_container_copy_construction(__a);
    }
# 708 "/usr/include/c++/11/bits/alloc_traits.h" 3
  template<typename _Alloc>
    constexpr inline void
    __alloc_on_move(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_move_assignment __pocma;

      if constexpr (__pocma::value)
 __one = std::move(__two);



    }
# 735 "/usr/include/c++/11/bits/alloc_traits.h" 3
  template<typename _Alloc>
    constexpr inline void
    __alloc_on_swap(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_swap __pocs;

      if constexpr (__pocs::value)
 {
   using std::swap;
   swap(__one, __two);
 }



    }

  template<typename _Alloc, typename _Tp,
    typename _ValueT = __remove_cvref_t<typename _Alloc::value_type>,
    typename = void>
    struct __is_alloc_insertable_impl
    : false_type
    { };

  template<typename _Alloc, typename _Tp, typename _ValueT>
    struct __is_alloc_insertable_impl<_Alloc, _Tp, _ValueT,
      __void_t<decltype(allocator_traits<_Alloc>::construct(
     std::declval<_Alloc&>(), std::declval<_ValueT*>(),
     std::declval<_Tp>()))>>
    : true_type
    { };




  template<typename _Alloc>
    struct __is_copy_insertable
    : __is_alloc_insertable_impl<_Alloc,
     typename _Alloc::value_type const&>::type
    { };


  template<typename _Tp>
    struct __is_copy_insertable<allocator<_Tp>>
    : is_copy_constructible<_Tp>
    { };




  template<typename _Alloc>
    struct __is_move_insertable
    : __is_alloc_insertable_impl<_Alloc, typename _Alloc::value_type>::type
    { };


  template<typename _Tp>
    struct __is_move_insertable<allocator<_Tp>>
    : is_move_constructible<_Tp>
    { };


  template<typename _Alloc, typename = void>
    struct __is_allocator : false_type { };

  template<typename _Alloc>
    struct __is_allocator<_Alloc,
      __void_t<typename _Alloc::value_type,
        decltype(std::declval<_Alloc&>().allocate(size_t{}))>>
    : true_type { };

  template<typename _Alloc>
    using _RequireAllocator
      = typename enable_if<__is_allocator<_Alloc>::value, _Alloc>::type;

  template<typename _Alloc>
    using _RequireNotAllocator
      = typename enable_if<!__is_allocator<_Alloc>::value, _Alloc>::type;
# 829 "/usr/include/c++/11/bits/alloc_traits.h" 3
  template<typename _ForwardIterator, typename _Allocator>
    void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      _Allocator& __alloc)
    {
      for (; __first != __last; ++__first)



 allocator_traits<_Allocator>::destroy(__alloc,
           std::__addressof(*__first));

    }

  template<typename _ForwardIterator, typename _Tp>
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      allocator<_Tp>&)
    {
      _Destroy(__first, __last);
    }


}
# 35 "/usr/include/c++/11/ext/alloc_traits.h" 2 3




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






template<typename _Alloc, typename = typename _Alloc::value_type>
  struct __alloc_traits

  : std::allocator_traits<_Alloc>

  {
    typedef _Alloc allocator_type;

    typedef std::allocator_traits<_Alloc> _Base_type;
    typedef typename _Base_type::value_type value_type;
    typedef typename _Base_type::pointer pointer;
    typedef typename _Base_type::const_pointer const_pointer;
    typedef typename _Base_type::size_type size_type;
    typedef typename _Base_type::difference_type difference_type;

    typedef value_type& reference;
    typedef const value_type& const_reference;
    using _Base_type::allocate;
    using _Base_type::deallocate;
    using _Base_type::construct;
    using _Base_type::destroy;
    using _Base_type::max_size;

  private:
    template<typename _Ptr>
      using __is_custom_pointer
 = std::__and_<std::is_same<pointer, _Ptr>,
        std::__not_<std::is_pointer<_Ptr>>>;

  public:

    template<typename _Ptr, typename... _Args>
      static constexpr
      std::__enable_if_t<__is_custom_pointer<_Ptr>::value>
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      noexcept(noexcept(_Base_type::construct(__a, std::__to_address(__p),
           std::forward<_Args>(__args)...)))
      {
 _Base_type::construct(__a, std::__to_address(__p),
         std::forward<_Args>(__args)...);
      }


    template<typename _Ptr>
      static constexpr
      std::__enable_if_t<__is_custom_pointer<_Ptr>::value>
      destroy(_Alloc& __a, _Ptr __p)
      noexcept(noexcept(_Base_type::destroy(__a, std::__to_address(__p))))
      { _Base_type::destroy(__a, std::__to_address(__p)); }

    static constexpr _Alloc _S_select_on_copy(const _Alloc& __a)
    { return _Base_type::select_on_container_copy_construction(__a); }

    static constexpr 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; };
# 166 "/usr/include/c++/11/ext/alloc_traits.h" 3
  };


}
# 65 "/usr/include/c++/11/bits/stl_uninitialized.h" 2 3





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








  template<bool _TrivialValueTypes>
    struct __uninitialized_copy
    {
      template<typename _InputIterator, typename _ForwardIterator>
        static _ForwardIterator
        __uninit_copy(_InputIterator __first, _InputIterator __last,
        _ForwardIterator __result)
        {
   _ForwardIterator __cur = __result;
   try
     {
       for (; __first != __last; ++__first, (void)++__cur)
  std::_Construct(std::__addressof(*__cur), *__first);
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__result, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_copy<true>
    {
      template<typename _InputIterator, typename _ForwardIterator>
        static _ForwardIterator
        __uninit_copy(_InputIterator __first, _InputIterator __last,
        _ForwardIterator __result)
        { return std::copy(__first, __last, __result); }
    };
# 124 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _InputIterator, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_copy(_InputIterator __first, _InputIterator __last,
         _ForwardIterator __result)
    {
      typedef typename iterator_traits<_InputIterator>::value_type
 _ValueType1;
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType2;





      static_assert(is_constructible<_ValueType2, decltype(*__first)>::value,
   "result type must be constructible from value type of input range");

      typedef typename iterator_traits<_InputIterator>::reference _RefType1;
      typedef typename iterator_traits<_ForwardIterator>::reference _RefType2;


      const bool __assignable = is_assignable<_RefType2, _RefType1>::value;


      return std::__uninitialized_copy<__is_trivial(_ValueType1)
           && __is_trivial(_ValueType2)
           && __assignable>::
 __uninit_copy(__first, __last, __result);
    }



  template<bool _TrivialValueType>
    struct __uninitialized_fill
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __uninit_fill(_ForwardIterator __first, _ForwardIterator __last,
        const _Tp& __x)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct(std::__addressof(*__cur), __x);
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_fill<true>
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __uninit_fill(_ForwardIterator __first, _ForwardIterator __last,
        const _Tp& __x)
        { std::fill(__first, __last, __x); }
    };
# 199 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _ForwardIterator, typename _Tp>
    inline void
    uninitialized_fill(_ForwardIterator __first, _ForwardIterator __last,
         const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;





      static_assert(is_constructible<_ValueType, const _Tp&>::value,
   "result type must be constructible from input type");



      const bool __assignable = is_copy_assignable<_ValueType>::value;


      std::__uninitialized_fill<__is_trivial(_ValueType) && __assignable>::
 __uninit_fill(__first, __last, __x);
    }



  template<bool _TrivialValueType>
    struct __uninitialized_fill_n
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static _ForwardIterator
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct(std::__addressof(*__cur), __x);
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_fill_n<true>
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static _ForwardIterator
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        { return std::fill_n(__first, __n, __x); }
    };
# 271 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline _ForwardIterator
    uninitialized_fill_n(_ForwardIterator __first, _Size __n, const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
# 288 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
      static_assert(is_constructible<_ValueType, const _Tp&>::value,
   "result type must be constructible from input type");



      constexpr bool __can_fill
 = __and_<is_integral<_Size>, is_copy_assignable<_ValueType>>::value;

      return __uninitialized_fill_n<__is_trivial(_ValueType) && __can_fill>::
 __uninit_fill_n(__first, __n, __x);
    }
# 308 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    _ForwardIterator
    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __result;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __first != __last; ++__first, (void)++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), *__first);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__result, __cur, __alloc);
   throw;
 }
    }

  template<typename _InputIterator, typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, allocator<_Tp>&)
    { return std::uninitialized_copy(__first, __last, __result); }

  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, _Allocator& __alloc)
    {
      return std::__uninitialized_copy_a(std::make_move_iterator(__first),
      std::make_move_iterator(__last),
      __result, __alloc);
    }

  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_if_noexcept_a(_InputIterator __first,
           _InputIterator __last,
           _ForwardIterator __result,
           _Allocator& __alloc)
    {
      return std::__uninitialized_copy_a
 (std::__make_move_if_noexcept_iterator(__first),
  std::__make_move_if_noexcept_iterator(__last), __result, __alloc);
    }

  template<typename _ForwardIterator, typename _Tp, typename _Allocator>
    void
    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __x, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __cur != __last; ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), __x);
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }

  template<typename _ForwardIterator, typename _Tp, typename _Tp2>
    inline void
    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __x, allocator<_Tp2>&)
    { std::uninitialized_fill(__first, __last, __x); }

  template<typename _ForwardIterator, typename _Size, typename _Tp,
    typename _Allocator>
    _ForwardIterator
    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
        const _Tp& __x, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __n > 0; --__n, (void) ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), __x);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }

  template<typename _ForwardIterator, typename _Size, typename _Tp,
    typename _Tp2>
    inline _ForwardIterator
    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
        const _Tp& __x, allocator<_Tp2>&)
    { return std::uninitialized_fill_n(__first, __n, __x); }
# 422 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _ForwardIterator, typename _Allocator>
    inline _ForwardIterator
    __uninitialized_copy_move(_InputIterator1 __first1,
         _InputIterator1 __last1,
         _InputIterator2 __first2,
         _InputIterator2 __last2,
         _ForwardIterator __result,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid = std::__uninitialized_copy_a(__first1, __last1,
          __result,
          __alloc);
      try
 {
   return std::__uninitialized_move_a(__first2, __last2, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }





  template<typename _InputIterator1, typename _InputIterator2,
    typename _ForwardIterator, typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_copy(_InputIterator1 __first1,
         _InputIterator1 __last1,
         _InputIterator2 __first2,
         _InputIterator2 __last2,
         _ForwardIterator __result,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid = std::__uninitialized_move_a(__first1, __last1,
          __result,
          __alloc);
      try
 {
   return std::__uninitialized_copy_a(__first2, __last2, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }




  template<typename _ForwardIterator, typename _Tp, typename _InputIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_fill_move(_ForwardIterator __result, _ForwardIterator __mid,
         const _Tp& __x, _InputIterator __first,
         _InputIterator __last, _Allocator& __alloc)
    {
      std::__uninitialized_fill_a(__result, __mid, __x, __alloc);
      try
 {
   return std::__uninitialized_move_a(__first, __last, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }




  template<typename _InputIterator, typename _ForwardIterator, typename _Tp,
    typename _Allocator>
    inline void
    __uninitialized_move_fill(_InputIterator __first1, _InputIterator __last1,
         _ForwardIterator __first2,
         _ForwardIterator __last2, const _Tp& __x,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid2 = std::__uninitialized_move_a(__first1, __last1,
           __first2,
           __alloc);
      try
 {
   std::__uninitialized_fill_a(__mid2, __last2, __x, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__first2, __mid2, __alloc);
   throw;
 }
    }
# 529 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<bool _TrivialValueType>
    struct __uninitialized_default_1
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default(_ForwardIterator __first, _ForwardIterator __last)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct(std::__addressof(*__cur));
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_1<true>
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default(_ForwardIterator __first, _ForwardIterator __last)
        {
   if (__first == __last)
     return;

   typename iterator_traits<_ForwardIterator>::value_type* __val
     = std::__addressof(*__first);
   std::_Construct(__val);
   if (++__first != __last)
     std::fill(__first, __last, *__val);
 }
    };

  template<bool _TrivialValueType>
    struct __uninitialized_default_n_1
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct(std::__addressof(*__cur));
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_n_1<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static _ForwardIterator
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   if (__n > 0)
     {
       typename iterator_traits<_ForwardIterator>::value_type* __val
  = std::__addressof(*__first);
       std::_Construct(__val);
       ++__first;
       __first = std::fill_n(__first, __n - 1, *__val);
     }
   return __first;
 }
    };



  template<typename _ForwardIterator>
    inline void
    __uninitialized_default(_ForwardIterator __first,
       _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      const bool __assignable = is_copy_assignable<_ValueType>::value;

      std::__uninitialized_default_1<__is_trivial(_ValueType)
         && __assignable>::
 __uninit_default(__first, __last);
    }



  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    __uninitialized_default_n(_ForwardIterator __first, _Size __n)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      constexpr bool __can_fill
 = __and_<is_integral<_Size>, is_copy_assignable<_ValueType>>::value;

      return __uninitialized_default_n_1<__is_trivial(_ValueType)
      && __can_fill>::
 __uninit_default_n(__first, __n);
    }





  template<typename _ForwardIterator, typename _Allocator>
    void
    __uninitialized_default_a(_ForwardIterator __first,
         _ForwardIterator __last,
         _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __cur != __last; ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur));
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }

  template<typename _ForwardIterator, typename _Tp>
    inline void
    __uninitialized_default_a(_ForwardIterator __first,
         _ForwardIterator __last,
         allocator<_Tp>&)
    { std::__uninitialized_default(__first, __last); }





  template<typename _ForwardIterator, typename _Size, typename _Allocator>
    _ForwardIterator
    __uninitialized_default_n_a(_ForwardIterator __first, _Size __n,
    _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __n > 0; --__n, (void) ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur));
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }



  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline _ForwardIterator
    __uninitialized_default_n_a(_ForwardIterator __first, _Size __n,
    allocator<_Tp>&)
    { return std::__uninitialized_default_n(__first, __n); }

  template<bool _TrivialValueType>
    struct __uninitialized_default_novalue_1
    {
      template<typename _ForwardIterator>
 static void
 __uninit_default_novalue(_ForwardIterator __first,
     _ForwardIterator __last)
 {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct_novalue(std::__addressof(*__cur));
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_novalue_1<true>
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default_novalue(_ForwardIterator __first,
     _ForwardIterator __last)
 {
 }
    };

  template<bool _TrivialValueType>
    struct __uninitialized_default_novalue_n_1
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __uninit_default_novalue_n(_ForwardIterator __first, _Size __n)
 {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, (void) ++__cur)
  std::_Construct_novalue(std::__addressof(*__cur));
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };

  template<>
    struct __uninitialized_default_novalue_n_1<true>
    {
      template<typename _ForwardIterator, typename _Size>
 static _ForwardIterator
 __uninit_default_novalue_n(_ForwardIterator __first, _Size __n)
 { return std::next(__first, __n); }
    };



  template<typename _ForwardIterator>
    inline void
    __uninitialized_default_novalue(_ForwardIterator __first,
        _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      std::__uninitialized_default_novalue_1<
 is_trivially_default_constructible<_ValueType>::value>::
 __uninit_default_novalue(__first, __last);
    }



  template<typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    __uninitialized_default_novalue_n(_ForwardIterator __first, _Size __n)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;

      return __uninitialized_default_novalue_n_1<
 is_trivially_default_constructible<_ValueType>::value>::
 __uninit_default_novalue_n(__first, __n);
    }

  template<typename _InputIterator, typename _Size,
    typename _ForwardIterator>
    _ForwardIterator
    __uninitialized_copy_n(_InputIterator __first, _Size __n,
      _ForwardIterator __result, input_iterator_tag)
    {
      _ForwardIterator __cur = __result;
      try
 {
   for (; __n > 0; --__n, (void) ++__first, ++__cur)
     std::_Construct(std::__addressof(*__cur), *__first);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__result, __cur);
   throw;
 }
    }

  template<typename _RandomAccessIterator, typename _Size,
    typename _ForwardIterator>
    inline _ForwardIterator
    __uninitialized_copy_n(_RandomAccessIterator __first, _Size __n,
      _ForwardIterator __result,
      random_access_iterator_tag)
    { return std::uninitialized_copy(__first, __first + __n, __result); }

  template<typename _InputIterator, typename _Size,
    typename _ForwardIterator>
    pair<_InputIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_InputIterator __first, _Size __n,
      _ForwardIterator __result, input_iterator_tag)
    {
      _ForwardIterator __cur = __result;
      try
 {
   for (; __n > 0; --__n, (void) ++__first, ++__cur)
     std::_Construct(std::__addressof(*__cur), *__first);
   return {__first, __cur};
 }
      catch(...)
 {
   std::_Destroy(__result, __cur);
   throw;
 }
    }

  template<typename _RandomAccessIterator, typename _Size,
    typename _ForwardIterator>
    inline pair<_RandomAccessIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_RandomAccessIterator __first, _Size __n,
      _ForwardIterator __result,
      random_access_iterator_tag)
    {
      auto __second_res = uninitialized_copy(__first, __first + __n, __result);
      auto __first_res = std::next(__first, __n);
      return {__first_res, __second_res};
    }
# 870 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template<typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_copy_n(_InputIterator __first, _Size __n,
    _ForwardIterator __result)
    { return std::__uninitialized_copy_n(__first, __n, __result,
      std::__iterator_category(__first)); }


  template<typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline pair<_InputIterator, _ForwardIterator>
    __uninitialized_copy_n_pair(_InputIterator __first, _Size __n,
         _ForwardIterator __result)
    {
      return
 std::__uninitialized_copy_n_pair(__first, __n, __result,
      std::__iterator_category(__first));
    }
# 898 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template <typename _ForwardIterator>
    inline void
    uninitialized_default_construct(_ForwardIterator __first,
        _ForwardIterator __last)
    {
      __uninitialized_default_novalue(__first, __last);
    }







  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    uninitialized_default_construct_n(_ForwardIterator __first, _Size __count)
    {
      return __uninitialized_default_novalue_n(__first, __count);
    }






  template <typename _ForwardIterator>
    inline void
    uninitialized_value_construct(_ForwardIterator __first,
      _ForwardIterator __last)
    {
      return __uninitialized_default(__first, __last);
    }







  template <typename _ForwardIterator, typename _Size>
    inline _ForwardIterator
    uninitialized_value_construct_n(_ForwardIterator __first, _Size __count)
    {
      return __uninitialized_default_n(__first, __count);
    }
# 952 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template <typename _InputIterator, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_move(_InputIterator __first, _InputIterator __last,
         _ForwardIterator __result)
    {
      return std::uninitialized_copy
 (std::make_move_iterator(__first),
  std::make_move_iterator(__last), __result);
    }
# 969 "/usr/include/c++/11/bits/stl_uninitialized.h" 3
  template <typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline pair<_InputIterator, _ForwardIterator>
    uninitialized_move_n(_InputIterator __first, _Size __count,
    _ForwardIterator __result)
    {
      auto __res = std::__uninitialized_copy_n_pair
 (std::make_move_iterator(__first),
  __count, __result);
      return {__res.first.base(), __res.second};
    }





  template<typename _Tp, typename _Up, typename _Allocator>
    inline void
    __relocate_object_a(_Tp* __restrict __dest, _Up* __restrict __orig,
   _Allocator& __alloc)
    noexcept(noexcept(std::allocator_traits<_Allocator>::construct(__alloc,
    __dest, std::move(*__orig)))
      && noexcept(std::allocator_traits<_Allocator>::destroy(
       __alloc, std::__addressof(*__orig))))
    {
      typedef std::allocator_traits<_Allocator> __traits;
      __traits::construct(__alloc, __dest, std::move(*__orig));
      __traits::destroy(__alloc, std::__addressof(*__orig));
    }



  template<typename _Tp, typename = void>
    struct __is_bitwise_relocatable
    : is_trivial<_Tp> { };

  template <typename _Tp, typename _Up>
    inline __enable_if_t<std::__is_bitwise_relocatable<_Tp>::value, _Tp*>
    __relocate_a_1(_Tp* __first, _Tp* __last,
     _Tp* __result, allocator<_Up>&) noexcept
    {
      ptrdiff_t __count = __last - __first;
      if (__count > 0)
 __builtin_memmove(__result, __first, __count * sizeof(_Tp));
      return __result + __count;
    }

  template <typename _InputIterator, typename _ForwardIterator,
     typename _Allocator>
    inline _ForwardIterator
    __relocate_a_1(_InputIterator __first, _InputIterator __last,
     _ForwardIterator __result, _Allocator& __alloc)
    noexcept(noexcept(std::__relocate_object_a(std::addressof(*__result),
            std::addressof(*__first),
            __alloc)))
    {
      typedef typename iterator_traits<_InputIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType2;
      static_assert(std::is_same<_ValueType, _ValueType2>::value,
   "relocation is only possible for values of the same type");
      _ForwardIterator __cur = __result;
      for (; __first != __last; ++__first, (void)++__cur)
 std::__relocate_object_a(std::__addressof(*__cur),
     std::__addressof(*__first), __alloc);
      return __cur;
    }

  template <typename _InputIterator, typename _ForwardIterator,
     typename _Allocator>
    inline _ForwardIterator
    __relocate_a(_InputIterator __first, _InputIterator __last,
   _ForwardIterator __result, _Allocator& __alloc)
    noexcept(noexcept(__relocate_a_1(std::__niter_base(__first),
         std::__niter_base(__last),
         std::__niter_base(__result), __alloc)))
    {
      return __relocate_a_1(std::__niter_base(__first),
       std::__niter_base(__last),
       std::__niter_base(__result), __alloc);
    }







}
# 67 "/usr/include/c++/11/vector" 2 3
# 1 "/usr/include/c++/11/bits/stl_vector.h" 1 3
# 63 "/usr/include/c++/11/bits/stl_vector.h" 3
# 1 "/usr/include/c++/11/initializer_list" 1 3
# 33 "/usr/include/c++/11/initializer_list" 3
       
# 34 "/usr/include/c++/11/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
# 64 "/usr/include/c++/11/bits/stl_vector.h" 2 3
# 77 "/usr/include/c++/11/bits/stl_vector.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  template<typename _Tp, typename _Alloc>
    struct _Vector_base
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
 rebind<_Tp>::other _Tp_alloc_type;
      typedef typename __gnu_cxx::__alloc_traits<_Tp_alloc_type>::pointer
        pointer;

      struct _Vector_impl_data
      {
 pointer _M_start;
 pointer _M_finish;
 pointer _M_end_of_storage;

 _Vector_impl_data() noexcept
 : _M_start(), _M_finish(), _M_end_of_storage()
 { }


 _Vector_impl_data(_Vector_impl_data&& __x) noexcept
 : _M_start(__x._M_start), _M_finish(__x._M_finish),
   _M_end_of_storage(__x._M_end_of_storage)
 { __x._M_start = __x._M_finish = __x._M_end_of_storage = pointer(); }


 void
 _M_copy_data(_Vector_impl_data const& __x) noexcept
 {
   _M_start = __x._M_start;
   _M_finish = __x._M_finish;
   _M_end_of_storage = __x._M_end_of_storage;
 }

 void
 _M_swap_data(_Vector_impl_data& __x) noexcept
 {


   _Vector_impl_data __tmp;
   __tmp._M_copy_data(*this);
   _M_copy_data(__x);
   __x._M_copy_data(__tmp);
 }
      };

      struct _Vector_impl
 : public _Tp_alloc_type, public _Vector_impl_data
      {
 _Vector_impl() noexcept(is_nothrow_default_constructible<_Tp_alloc_type>::value)

 : _Tp_alloc_type()
 { }

 _Vector_impl(_Tp_alloc_type const& __a) noexcept
 : _Tp_alloc_type(__a)
 { }




 _Vector_impl(_Vector_impl&& __x) noexcept
 : _Tp_alloc_type(std::move(__x)), _Vector_impl_data(std::move(__x))
 { }

 _Vector_impl(_Tp_alloc_type&& __a) noexcept
 : _Tp_alloc_type(std::move(__a))
 { }

 _Vector_impl(_Tp_alloc_type&& __a, _Vector_impl&& __rv) noexcept
 : _Tp_alloc_type(std::move(__a)), _Vector_impl_data(std::move(__rv))
 { }
# 270 "/usr/include/c++/11/bits/stl_vector.h" 3
      };

    public:
      typedef _Alloc allocator_type;

      _Tp_alloc_type&
      _M_get_Tp_allocator() noexcept
      { return this->_M_impl; }

      const _Tp_alloc_type&
      _M_get_Tp_allocator() const noexcept
      { return this->_M_impl; }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_get_Tp_allocator()); }


      _Vector_base() = default;




      _Vector_base(const allocator_type& __a) noexcept
      : _M_impl(__a) { }



      _Vector_base(size_t __n)
      : _M_impl()
      { _M_create_storage(__n); }


      _Vector_base(size_t __n, const allocator_type& __a)
      : _M_impl(__a)
      { _M_create_storage(__n); }


      _Vector_base(_Vector_base&&) = default;



      _Vector_base(_Tp_alloc_type&& __a) noexcept
      : _M_impl(std::move(__a)) { }

      _Vector_base(_Vector_base&& __x, const allocator_type& __a)
      : _M_impl(__a)
      {
 if (__x.get_allocator() == __a)
   this->_M_impl._M_swap_data(__x._M_impl);
 else
   {
     size_t __n = __x._M_impl._M_finish - __x._M_impl._M_start;
     _M_create_storage(__n);
   }
      }


      _Vector_base(const allocator_type& __a, _Vector_base&& __x)
      : _M_impl(_Tp_alloc_type(__a), std::move(__x._M_impl))
      { }


      ~_Vector_base() noexcept
      {
 _M_deallocate(_M_impl._M_start,
        _M_impl._M_end_of_storage - _M_impl._M_start);
      }

    public:
      _Vector_impl _M_impl;

      pointer
      _M_allocate(size_t __n)
      {
 typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Tr;
 return __n != 0 ? _Tr::allocate(_M_impl, __n) : pointer();
      }

      void
      _M_deallocate(pointer __p, size_t __n)
      {
 typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Tr;
 if (__p)
   _Tr::deallocate(_M_impl, __p, __n);
      }

    protected:
      void
      _M_create_storage(size_t __n)
      {
 this->_M_impl._M_start = this->_M_allocate(__n);
 this->_M_impl._M_finish = this->_M_impl._M_start;
 this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
      }
    };
# 388 "/usr/include/c++/11/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc = std::allocator<_Tp> >
    class vector : protected _Vector_base<_Tp, _Alloc>
    {
# 401 "/usr/include/c++/11/bits/stl_vector.h" 3
      static_assert(is_same<typename remove_cv<_Tp>::type, _Tp>::value,
   "std::vector must have a non-const, non-volatile value_type");






      typedef _Vector_base<_Tp, _Alloc> _Base;
      typedef typename _Base::_Tp_alloc_type _Tp_alloc_type;
      typedef __gnu_cxx::__alloc_traits<_Tp_alloc_type> _Alloc_traits;

    public:
      typedef _Tp value_type;
      typedef typename _Base::pointer pointer;
      typedef typename _Alloc_traits::const_pointer const_pointer;
      typedef typename _Alloc_traits::reference reference;
      typedef typename _Alloc_traits::const_reference const_reference;
      typedef __gnu_cxx::__normal_iterator<pointer, vector> iterator;
      typedef __gnu_cxx::__normal_iterator<const_pointer, vector>
      const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Alloc allocator_type;

    private:

      static constexpr bool
      _S_nothrow_relocate(true_type)
      {
 return noexcept(std::__relocate_a(std::declval<pointer>(),
       std::declval<pointer>(),
       std::declval<pointer>(),
       std::declval<_Tp_alloc_type&>()));
      }

      static constexpr bool
      _S_nothrow_relocate(false_type)
      { return false; }

      static constexpr bool
      _S_use_relocate()
      {



 return _S_nothrow_relocate(__is_move_insertable<_Tp_alloc_type>{});
      }

      static pointer
      _S_do_relocate(pointer __first, pointer __last, pointer __result,
       _Tp_alloc_type& __alloc, true_type) noexcept
      {
 return std::__relocate_a(__first, __last, __result, __alloc);
      }

      static pointer
      _S_do_relocate(pointer, pointer, pointer __result,
       _Tp_alloc_type&, false_type) noexcept
      { return __result; }

      static pointer
      _S_relocate(pointer __first, pointer __last, pointer __result,
    _Tp_alloc_type& __alloc) noexcept
      {
 using __do_it = __bool_constant<_S_use_relocate()>;
 return _S_do_relocate(__first, __last, __result, __alloc, __do_it{});
      }


    protected:
      using _Base::_M_allocate;
      using _Base::_M_deallocate;
      using _Base::_M_impl;
      using _Base::_M_get_Tp_allocator;

    public:







      vector() = default;
# 496 "/usr/include/c++/11/bits/stl_vector.h" 3
      explicit
      vector(const allocator_type& __a) noexcept
      : _Base(__a) { }
# 509 "/usr/include/c++/11/bits/stl_vector.h" 3
      explicit
      vector(size_type __n, const allocator_type& __a = allocator_type())
      : _Base(_S_check_init_len(__n, __a), __a)
      { _M_default_initialize(__n); }
# 522 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector(size_type __n, const value_type& __value,
      const allocator_type& __a = allocator_type())
      : _Base(_S_check_init_len(__n, __a), __a)
      { _M_fill_initialize(__n, __value); }
# 553 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector(const vector& __x)
      : _Base(__x.size(),
 _Alloc_traits::_S_select_on_copy(__x._M_get_Tp_allocator()))
      {
 this->_M_impl._M_finish =
   std::__uninitialized_copy_a(__x.begin(), __x.end(),
          this->_M_impl._M_start,
          _M_get_Tp_allocator());
      }
# 572 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector(vector&&) noexcept = default;


      vector(const vector& __x, const allocator_type& __a)
      : _Base(__x.size(), __a)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_copy_a(__x.begin(), __x.end(),
          this->_M_impl._M_start,
          _M_get_Tp_allocator());
      }

    private:
      vector(vector&& __rv, const allocator_type& __m, true_type) noexcept
      : _Base(__m, std::move(__rv))
      { }

      vector(vector&& __rv, const allocator_type& __m, false_type)
      : _Base(__m)
      {
 if (__rv.get_allocator() == __m)
   this->_M_impl._M_swap_data(__rv._M_impl);
 else if (!__rv.empty())
   {
     this->_M_create_storage(__rv.size());
     this->_M_impl._M_finish =
       std::__uninitialized_move_a(__rv.begin(), __rv.end(),
       this->_M_impl._M_start,
       _M_get_Tp_allocator());
     __rv.clear();
   }
      }

    public:

      vector(vector&& __rv, const allocator_type& __m)
      noexcept( noexcept(
 vector(std::declval<vector&&>(), std::declval<const allocator_type&>(),
        std::declval<typename _Alloc_traits::is_always_equal>())) )
      : vector(std::move(__rv), __m, typename _Alloc_traits::is_always_equal{})
      { }
# 625 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector(initializer_list<value_type> __l,
      const allocator_type& __a = allocator_type())
      : _Base(__a)
      {
 _M_range_initialize(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }
# 651 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 vector(_InputIterator __first, _InputIterator __last,
        const allocator_type& __a = allocator_type())
 : _Base(__a)
 {
   _M_range_initialize(__first, __last,
         std::__iterator_category(__first));
 }
# 678 "/usr/include/c++/11/bits/stl_vector.h" 3
      ~vector() noexcept
      {
 std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
        _M_get_Tp_allocator());
 ;
      }
# 694 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector&
      operator=(const vector& __x);
# 708 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector&
      operator=(vector&& __x) noexcept(_Alloc_traits::_S_nothrow_move())
      {
 constexpr bool __move_storage =
   _Alloc_traits::_S_propagate_on_move_assign()
   || _Alloc_traits::_S_always_equal();
 _M_move_assign(std::move(__x), __bool_constant<__move_storage>());
 return *this;
      }
# 729 "/usr/include/c++/11/bits/stl_vector.h" 3
      vector&
      operator=(initializer_list<value_type> __l)
      {
 this->_M_assign_aux(__l.begin(), __l.end(),
       random_access_iterator_tag());
 return *this;
      }
# 748 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      assign(size_type __n, const value_type& __val)
      { _M_fill_assign(__n, __val); }
# 765 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 void
 assign(_InputIterator __first, _InputIterator __last)
 { _M_assign_dispatch(__first, __last, __false_type()); }
# 793 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      assign(initializer_list<value_type> __l)
      {
 this->_M_assign_aux(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }



      using _Base::get_allocator;







      iterator
      begin() noexcept
      { return iterator(this->_M_impl._M_start); }






      const_iterator
      begin() const noexcept
      { return const_iterator(this->_M_impl._M_start); }






      iterator
      end() noexcept
      { return iterator(this->_M_impl._M_finish); }






      const_iterator
      end() const noexcept
      { return const_iterator(this->_M_impl._M_finish); }






      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }






      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }






      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }






      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }







      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_impl._M_start); }






      const_iterator
      cend() const noexcept
      { return const_iterator(this->_M_impl._M_finish); }






      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }






      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }




      size_type
      size() const noexcept
      { return size_type(this->_M_impl._M_finish - this->_M_impl._M_start); }


      size_type
      max_size() const noexcept
      { return _S_max_size(_M_get_Tp_allocator()); }
# 936 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      resize(size_type __new_size)
      {
 if (__new_size > size())
   _M_default_append(__new_size - size());
 else if (__new_size < size())
   _M_erase_at_end(this->_M_impl._M_start + __new_size);
      }
# 956 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      resize(size_type __new_size, const value_type& __x)
      {
 if (__new_size > size())
   _M_fill_insert(end(), __new_size - size(), __x);
 else if (__new_size < size())
   _M_erase_at_end(this->_M_impl._M_start + __new_size);
      }
# 988 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      shrink_to_fit()
      { _M_shrink_to_fit(); }






      size_type
      capacity() const noexcept
      { return size_type(this->_M_impl._M_end_of_storage
    - this->_M_impl._M_start); }





      [[__nodiscard__]] bool
      empty() const noexcept
      { return begin() == end(); }
# 1027 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      reserve(size_type __n);
# 1042 "/usr/include/c++/11/bits/stl_vector.h" 3
      reference
      operator[](size_type __n) noexcept
      {
 ;
 return *(this->_M_impl._M_start + __n);
      }
# 1060 "/usr/include/c++/11/bits/stl_vector.h" 3
      const_reference
      operator[](size_type __n) const noexcept
      {
 ;
 return *(this->_M_impl._M_start + __n);
      }

    protected:

      void
      _M_range_check(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("vector::_M_range_check: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
      }

    public:
# 1091 "/usr/include/c++/11/bits/stl_vector.h" 3
      reference
      at(size_type __n)
      {
 _M_range_check(__n);
 return (*this)[__n];
      }
# 1109 "/usr/include/c++/11/bits/stl_vector.h" 3
      const_reference
      at(size_type __n) const
      {
 _M_range_check(__n);
 return (*this)[__n];
      }





      reference
      front() noexcept
      {
 ;
 return *begin();
      }





      const_reference
      front() const noexcept
      {
 ;
 return *begin();
      }





      reference
      back() noexcept
      {
 ;
 return *(end() - 1);
      }





      const_reference
      back() const noexcept
      {
 ;
 return *(end() - 1);
      }
# 1167 "/usr/include/c++/11/bits/stl_vector.h" 3
      _Tp*
      data() noexcept
      { return _M_data_ptr(this->_M_impl._M_start); }

      const _Tp*
      data() const noexcept
      { return _M_data_ptr(this->_M_impl._M_start); }
# 1186 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      push_back(const value_type& __x)
      {
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         __x);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_realloc_insert(end(), __x);
      }


      void
      push_back(value_type&& __x)
      { emplace_back(std::move(__x)); }

      template<typename... _Args>

 reference



 emplace_back(_Args&&... __args);
# 1224 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      pop_back() noexcept
      {
 ;
 --this->_M_impl._M_finish;
 _Alloc_traits::destroy(this->_M_impl, this->_M_impl._M_finish);
 ;
      }
# 1246 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename... _Args>
 iterator
 emplace(const_iterator __position, _Args&&... __args)
 { return _M_emplace_aux(__position, std::forward<_Args>(__args)...); }
# 1262 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, const value_type& __x);
# 1292 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, value_type&& __x)
      { return _M_insert_rval(__position, std::move(__x)); }
# 1309 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, initializer_list<value_type> __l)
      {
 auto __offset = __position - cbegin();
 _M_range_insert(begin() + __offset, __l.begin(), __l.end(),
   std::random_access_iterator_tag());
 return begin() + __offset;
      }
# 1334 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator
      insert(const_iterator __position, size_type __n, const value_type& __x)
      {
 difference_type __offset = __position - cbegin();
 _M_fill_insert(begin() + __offset, __n, __x);
 return begin() + __offset;
      }
# 1376 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
 insert(const_iterator __position, _InputIterator __first,
        _InputIterator __last)
 {
   difference_type __offset = __position - cbegin();
   _M_insert_dispatch(begin() + __offset,
        __first, __last, __false_type());
   return begin() + __offset;
 }
# 1428 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator

      erase(const_iterator __position)
      { return _M_erase(begin() + (__position - cbegin())); }
# 1455 "/usr/include/c++/11/bits/stl_vector.h" 3
      iterator

      erase(const_iterator __first, const_iterator __last)
      {
 const auto __beg = begin();
 const auto __cbeg = cbegin();
 return _M_erase(__beg + (__first - __cbeg), __beg + (__last - __cbeg));
      }
# 1479 "/usr/include/c++/11/bits/stl_vector.h" 3
      void
      swap(vector& __x) noexcept
      {

 do { if (__builtin_is_constant_evaluated() && !bool(_Alloc_traits::propagate_on_container_swap::value || _M_get_Tp_allocator() == __x._M_get_Tp_allocator())) __builtin_unreachable(); } while (false)
                                                          ;

 this->_M_impl._M_swap_data(__x._M_impl);
 _Alloc_traits::_S_on_swap(_M_get_Tp_allocator(),
      __x._M_get_Tp_allocator());
      }







      void
      clear() noexcept
      { _M_erase_at_end(this->_M_impl._M_start); }

    protected:




      template<typename _ForwardIterator>
 pointer
 _M_allocate_and_copy(size_type __n,
        _ForwardIterator __first, _ForwardIterator __last)
 {
   pointer __result = this->_M_allocate(__n);
   try
     {
       std::__uninitialized_copy_a(__first, __last, __result,
       _M_get_Tp_allocator());
       return __result;
     }
   catch(...)
     {
       _M_deallocate(__result, __n);
       throw;
     }
 }
# 1556 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename _InputIterator>
 void
 _M_range_initialize(_InputIterator __first, _InputIterator __last,
       std::input_iterator_tag)
 {
   try {
     for (; __first != __last; ++__first)

       emplace_back(*__first);



   } catch(...) {
     clear();
     throw;
   }
 }


      template<typename _ForwardIterator>
 void
 _M_range_initialize(_ForwardIterator __first, _ForwardIterator __last,
       std::forward_iterator_tag)
 {
   const size_type __n = std::distance(__first, __last);
   this->_M_impl._M_start
     = this->_M_allocate(_S_check_init_len(__n, _M_get_Tp_allocator()));
   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
   this->_M_impl._M_finish =
     std::__uninitialized_copy_a(__first, __last,
     this->_M_impl._M_start,
     _M_get_Tp_allocator());
 }



      void
      _M_fill_initialize(size_type __n, const value_type& __value)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_fill_n_a(this->_M_impl._M_start, __n, __value,
     _M_get_Tp_allocator());
      }



      void
      _M_default_initialize(size_type __n)
      {
 this->_M_impl._M_finish =
   std::__uninitialized_default_n_a(this->_M_impl._M_start, __n,
        _M_get_Tp_allocator());
      }
# 1618 "/usr/include/c++/11/bits/stl_vector.h" 3
      template<typename _Integer>
 void
 _M_assign_dispatch(_Integer __n, _Integer __val, __true_type)
 { _M_fill_assign(__n, __val); }


      template<typename _InputIterator>
 void
 _M_assign_dispatch(_InputIterator __first, _InputIterator __last,
      __false_type)
 { _M_assign_aux(__first, __last, std::__iterator_category(__first)); }


      template<typename _InputIterator>
 void
 _M_assign_aux(_InputIterator __first, _InputIterator __last,
        std::input_iterator_tag);


      template<typename _ForwardIterator>
 void
 _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
        std::forward_iterator_tag);



      void
      _M_fill_assign(size_type __n, const value_type& __val);







      template<typename _Integer>
 void
 _M_insert_dispatch(iterator __pos, _Integer __n, _Integer __val,
      __true_type)
 { _M_fill_insert(__pos, __n, __val); }


      template<typename _InputIterator>
 void
 _M_insert_dispatch(iterator __pos, _InputIterator __first,
      _InputIterator __last, __false_type)
 {
   _M_range_insert(__pos, __first, __last,
     std::__iterator_category(__first));
 }


      template<typename _InputIterator>
 void
 _M_range_insert(iterator __pos, _InputIterator __first,
   _InputIterator __last, std::input_iterator_tag);


      template<typename _ForwardIterator>
 void
 _M_range_insert(iterator __pos, _ForwardIterator __first,
   _ForwardIterator __last, std::forward_iterator_tag);



      void
      _M_fill_insert(iterator __pos, size_type __n, const value_type& __x);



      void
      _M_default_append(size_type __n);

      bool
      _M_shrink_to_fit();
# 1705 "/usr/include/c++/11/bits/stl_vector.h" 3
      struct _Temporary_value
      {
 template<typename... _Args>
   explicit
   _Temporary_value(vector* __vec, _Args&&... __args) : _M_this(__vec)
   {
     _Alloc_traits::construct(_M_this->_M_impl, _M_ptr(),
         std::forward<_Args>(__args)...);
   }

 ~_Temporary_value()
 { _Alloc_traits::destroy(_M_this->_M_impl, _M_ptr()); }

 value_type&
 _M_val() { return *_M_ptr(); }

      private:
 _Tp*
 _M_ptr() { return reinterpret_cast<_Tp*>(&__buf); }

 vector* _M_this;
 typename aligned_storage<sizeof(_Tp), alignof(_Tp)>::type __buf;
      };



      template<typename _Arg>
 void
 _M_insert_aux(iterator __position, _Arg&& __arg);

      template<typename... _Args>
 void
 _M_realloc_insert(iterator __position, _Args&&... __args);


      iterator
      _M_insert_rval(const_iterator __position, value_type&& __v);


      template<typename... _Args>
 iterator
 _M_emplace_aux(const_iterator __position, _Args&&... __args);


      iterator
      _M_emplace_aux(const_iterator __position, value_type&& __v)
      { return _M_insert_rval(__position, std::move(__v)); }



      size_type
      _M_check_len(size_type __n, const char* __s) const
      {
 if (max_size() - size() < __n)
   __throw_length_error((__s));

 const size_type __len = size() + (std::max)(size(), __n);
 return (__len < size() || __len > max_size()) ? max_size() : __len;
      }


      static size_type
      _S_check_init_len(size_type __n, const allocator_type& __a)
      {
 if (__n > _S_max_size(_Tp_alloc_type(__a)))
   __throw_length_error(
       ("cannot create std::vector larger than max_size()"));
 return __n;
      }

      static size_type
      _S_max_size(const _Tp_alloc_type& __a) noexcept
      {



 const size_t __diffmax
   = __gnu_cxx::__numeric_traits<ptrdiff_t>::__max / sizeof(_Tp);
 const size_t __allocmax = _Alloc_traits::max_size(__a);
 return (std::min)(__diffmax, __allocmax);
      }





      void
      _M_erase_at_end(pointer __pos) noexcept
      {
 if (size_type __n = this->_M_impl._M_finish - __pos)
   {
     std::_Destroy(__pos, this->_M_impl._M_finish,
     _M_get_Tp_allocator());
     this->_M_impl._M_finish = __pos;
     ;
   }
      }

      iterator
      _M_erase(iterator __position);

      iterator
      _M_erase(iterator __first, iterator __last);


    private:



      void
      _M_move_assign(vector&& __x, true_type) noexcept
      {
 vector __tmp(get_allocator());
 this->_M_impl._M_swap_data(__x._M_impl);
 __tmp._M_impl._M_swap_data(__x._M_impl);
 std::__alloc_on_move(_M_get_Tp_allocator(), __x._M_get_Tp_allocator());
      }



      void
      _M_move_assign(vector&& __x, false_type)
      {
 if (__x._M_get_Tp_allocator() == this->_M_get_Tp_allocator())
   _M_move_assign(std::move(__x), true_type());
 else
   {


     this->_M_assign_aux(std::make_move_iterator(__x.begin()),
           std::make_move_iterator(__x.end()),
    std::random_access_iterator_tag());
     __x.clear();
   }
      }


      template<typename _Up>
 _Up*
 _M_data_ptr(_Up* __ptr) const noexcept
 { return __ptr; }


      template<typename _Ptr>
 typename std::pointer_traits<_Ptr>::element_type*
 _M_data_ptr(_Ptr __ptr) const
 { return empty() ? nullptr : std::__to_address(__ptr); }
# 1868 "/usr/include/c++/11/bits/stl_vector.h" 3
    };


  template<typename _InputIterator, typename _ValT
      = typename iterator_traits<_InputIterator>::value_type,
    typename _Allocator = allocator<_ValT>,
    typename = _RequireInputIter<_InputIterator>,
    typename = _RequireAllocator<_Allocator>>
    vector(_InputIterator, _InputIterator, _Allocator = _Allocator())
      -> vector<_ValT, _Allocator>;
# 1890 "/usr/include/c++/11/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc>
    inline bool
    operator==(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return (__x.size() == __y.size()
       && std::equal(__x.begin(), __x.end(), __y.begin())); }
# 1928 "/usr/include/c++/11/bits/stl_vector.h" 3
  template<typename _Tp, typename _Alloc>
    inline bool
    operator<(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return std::lexicographical_compare(__x.begin(), __x.end(),
       __y.begin(), __y.end()); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator!=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__x == __y); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator>(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return __y < __x; }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator<=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__y < __x); }


  template<typename _Tp, typename _Alloc>
    inline bool
    operator>=(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y)
    { return !(__x < __y); }



  template<typename _Tp, typename _Alloc>
    inline void
    swap(vector<_Tp, _Alloc>& __x, vector<_Tp, _Alloc>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }




  namespace __detail::__variant
  {
    template<typename> struct _Never_valueless_alt;



    template<typename _Tp, typename _Alloc>
      struct _Never_valueless_alt<std::vector<_Tp, _Alloc>>
      : std::is_nothrow_move_assignable<std::vector<_Tp, _Alloc>>
      { };
  }



}
# 68 "/usr/include/c++/11/vector" 2 3
# 1 "/usr/include/c++/11/bits/stl_bvector.h" 1 3
# 61 "/usr/include/c++/11/bits/stl_bvector.h" 3
# 1 "/usr/include/c++/11/bits/functional_hash.h" 1 3
# 33 "/usr/include/c++/11/bits/functional_hash.h" 3
       
# 34 "/usr/include/c++/11/bits/functional_hash.h" 3


# 1 "/usr/include/c++/11/bits/hash_bytes.h" 1 3
# 33 "/usr/include/c++/11/bits/hash_bytes.h" 3
       
# 34 "/usr/include/c++/11/bits/hash_bytes.h" 3



namespace std
{







  size_t
  _Hash_bytes(const void* __ptr, size_t __len, size_t __seed);





  size_t
  _Fnv_hash_bytes(const void* __ptr, size_t __len, size_t __seed);


}
# 37 "/usr/include/c++/11/bits/functional_hash.h" 2 3

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

# 50 "/usr/include/c++/11/bits/functional_hash.h" 3
  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type [[__deprecated__]];
      typedef _Arg argument_type [[__deprecated__]];
    };


  template<typename _Tp>
    struct hash;

  template<typename _Tp, typename = void>
    struct __poison_hash
    {
      static constexpr bool __enable_hash_call = false;
    private:

      __poison_hash(__poison_hash&&);
      ~__poison_hash();
    };

  template<typename _Tp>
    struct __poison_hash<_Tp, __void_t<decltype(hash<_Tp>()(declval<_Tp>()))>>
    {
      static constexpr bool __enable_hash_call = true;
    };


  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __hash_enum
    {
    private:

      __hash_enum(__hash_enum&&);
      ~__hash_enum();
    };


  template<typename _Tp>
    struct __hash_enum<_Tp, true> : public __hash_base<size_t, _Tp>
    {
      size_t
      operator()(_Tp __val) const noexcept
      {
       using __type = typename underlying_type<_Tp>::type;
       return hash<__type>{}(static_cast<__type>(__val));
      }
    };



  template<typename _Tp>
    struct hash : __hash_enum<_Tp>
    { };


  template<typename _Tp>
    struct hash<_Tp*> : public __hash_base<size_t, _Tp*>
    {
      size_t
      operator()(_Tp* __p) const noexcept
      { return reinterpret_cast<size_t>(__p); }
    };
# 125 "/usr/include/c++/11/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); } };


  template<> struct hash<__int128> : public __hash_base<size_t, __int128> { size_t operator()(__int128 __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<__int128 unsigned> : public __hash_base<size_t, __int128 unsigned> { size_t operator()(__int128 unsigned __val) const noexcept { return static_cast<size_t>(__val); } };
# 193 "/usr/include/c++/11/bits/functional_hash.h" 3
  struct _Hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(0xc70f6907UL))
    { return _Hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  struct _Fnv_hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(2166136261UL))
    { return _Fnv_hash_bytes(__ptr, __clength, __seed); }

    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }

    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };


  template<>
    struct hash<float> : public __hash_base<size_t, float>
    {
      size_t
      operator()(float __val) const noexcept
      {

 return __val != 0.0f ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<double> : public __hash_base<size_t, double>
    {
      size_t
      operator()(double __val) const noexcept
      {

 return __val != 0.0 ? std::_Hash_impl::hash(__val) : 0;
      }
    };


  template<>
    struct hash<long double>
    : public __hash_base<size_t, long double>
    {
      __attribute__ ((__pure__)) size_t
      operator()(long double __val) const noexcept;
    };


  template<>
    struct hash<nullptr_t> : public __hash_base<size_t, nullptr_t>
    {
      size_t
      operator()(nullptr_t) const noexcept
      { return 0; }
    };
# 279 "/usr/include/c++/11/bits/functional_hash.h" 3
  template<typename _Hash>
    struct __is_fast_hash : public std::true_type
    { };

  template<>
    struct __is_fast_hash<hash<long double>> : public std::false_type
    { };


}
# 62 "/usr/include/c++/11/bits/stl_bvector.h" 2 3


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



  typedef unsigned long _Bit_type;
  enum { _S_word_bit = int(8 * sizeof(_Bit_type)) };

  struct _Bit_reference
  {
    _Bit_type * _M_p;
    _Bit_type _M_mask;

    _Bit_reference(_Bit_type * __x, _Bit_type __y)
    : _M_p(__x), _M_mask(__y) { }

    _Bit_reference() noexcept : _M_p(0), _M_mask(0) { }


    _Bit_reference(const _Bit_reference&) = default;


    operator bool() const noexcept
    { return !!(*_M_p & _M_mask); }

    _Bit_reference&
    operator=(bool __x) noexcept
    {
      if (__x)
 *_M_p |= _M_mask;
      else
 *_M_p &= ~_M_mask;
      return *this;
    }

    _Bit_reference&
    operator=(const _Bit_reference& __x) noexcept
    { return *this = bool(__x); }

    bool
    operator==(const _Bit_reference& __x) const
    { return bool(*this) == bool(__x); }

    bool
    operator<(const _Bit_reference& __x) const
    { return !bool(*this) && bool(__x); }

    void
    flip() noexcept
    { *_M_p ^= _M_mask; }
  };


  inline void
  swap(_Bit_reference __x, _Bit_reference __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }

  inline void
  swap(_Bit_reference __x, bool& __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }

  inline void
  swap(bool& __x, _Bit_reference __y) noexcept
  {
    bool __tmp = __x;
    __x = __y;
    __y = __tmp;
  }


  struct _Bit_iterator_base
  : public std::iterator<std::random_access_iterator_tag, bool>
  {
    _Bit_type * _M_p;
    unsigned int _M_offset;

    _Bit_iterator_base(_Bit_type * __x, unsigned int __y)
    : _M_p(__x), _M_offset(__y) { }

    void
    _M_bump_up()
    {
      if (_M_offset++ == int(_S_word_bit) - 1)
 {
   _M_offset = 0;
   ++_M_p;
 }
    }

    void
    _M_bump_down()
    {
      if (_M_offset-- == 0)
 {
   _M_offset = int(_S_word_bit) - 1;
   --_M_p;
 }
    }

    void
    _M_incr(ptrdiff_t __i)
    {
      difference_type __n = __i + _M_offset;
      _M_p += __n / int(_S_word_bit);
      __n = __n % int(_S_word_bit);
      if (__n < 0)
 {
   __n += int(_S_word_bit);
   --_M_p;
 }
      _M_offset = static_cast<unsigned int>(__n);
    }

    friend bool
    operator==(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    { return __x._M_p == __y._M_p && __x._M_offset == __y._M_offset; }
# 199 "/usr/include/c++/11/bits/stl_bvector.h" 3
    friend bool
    operator<(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    {
      return __x._M_p < __y._M_p
     || (__x._M_p == __y._M_p && __x._M_offset < __y._M_offset);
    }

    friend bool
    operator!=(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    { return !(__x == __y); }

    friend bool
    operator>(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    { return __y < __x; }

    friend bool
    operator<=(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    { return !(__y < __x); }

    friend bool
    operator>=(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    { return !(__x < __y); }


    friend ptrdiff_t
    operator-(const _Bit_iterator_base& __x, const _Bit_iterator_base& __y)
    {
      return (int(_S_word_bit) * (__x._M_p - __y._M_p)
       + __x._M_offset - __y._M_offset);
    }
  };

  struct _Bit_iterator : public _Bit_iterator_base
  {
    typedef _Bit_reference reference;



    typedef _Bit_reference* pointer;

    typedef _Bit_iterator iterator;

    _Bit_iterator() : _Bit_iterator_base(0, 0) { }

    _Bit_iterator(_Bit_type * __x, unsigned int __y)
    : _Bit_iterator_base(__x, __y) { }

    iterator
    _M_const_cast() const
    { return *this; }

    reference
    operator*() const
    { return reference(_M_p, 1UL << _M_offset); }

    iterator&
    operator++()
    {
      _M_bump_up();
      return *this;
    }

    iterator
    operator++(int)
    {
      iterator __tmp = *this;
      _M_bump_up();
      return __tmp;
    }

    iterator&
    operator--()
    {
      _M_bump_down();
      return *this;
    }

    iterator
    operator--(int)
    {
      iterator __tmp = *this;
      _M_bump_down();
      return __tmp;
    }

    iterator&
    operator+=(difference_type __i)
    {
      _M_incr(__i);
      return *this;
    }

    iterator&
    operator-=(difference_type __i)
    {
      *this += -__i;
      return *this;
    }

    reference
    operator[](difference_type __i) const
    { return *(*this + __i); }

    friend iterator
    operator+(const iterator& __x, difference_type __n)
    {
      iterator __tmp = __x;
      __tmp += __n;
      return __tmp;
    }

    friend iterator
    operator+(difference_type __n, const iterator& __x)
    { return __x + __n; }

    friend iterator
    operator-(const iterator& __x, difference_type __n)
    {
      iterator __tmp = __x;
      __tmp -= __n;
      return __tmp;
    }
  };

  struct _Bit_const_iterator : public _Bit_iterator_base
  {
    typedef bool reference;
    typedef bool const_reference;



    typedef const bool* pointer;

    typedef _Bit_const_iterator const_iterator;

    _Bit_const_iterator() : _Bit_iterator_base(0, 0) { }

    _Bit_const_iterator(_Bit_type * __x, unsigned int __y)
    : _Bit_iterator_base(__x, __y) { }

    _Bit_const_iterator(const _Bit_iterator& __x)
    : _Bit_iterator_base(__x._M_p, __x._M_offset) { }

    _Bit_iterator
    _M_const_cast() const
    { return _Bit_iterator(_M_p, _M_offset); }

    const_reference
    operator*() const
    { return _Bit_reference(_M_p, 1UL << _M_offset); }

    const_iterator&
    operator++()
    {
      _M_bump_up();
      return *this;
    }

    const_iterator
    operator++(int)
    {
      const_iterator __tmp = *this;
      _M_bump_up();
      return __tmp;
    }

    const_iterator&
    operator--()
    {
      _M_bump_down();
      return *this;
    }

    const_iterator
    operator--(int)
    {
      const_iterator __tmp = *this;
      _M_bump_down();
      return __tmp;
    }

    const_iterator&
    operator+=(difference_type __i)
    {
      _M_incr(__i);
      return *this;
    }

    const_iterator&
    operator-=(difference_type __i)
    {
      *this += -__i;
      return *this;
    }

    const_reference
    operator[](difference_type __i) const
    { return *(*this + __i); }

    friend const_iterator
    operator+(const const_iterator& __x, difference_type __n)
    {
      const_iterator __tmp = __x;
      __tmp += __n;
      return __tmp;
    }

    friend const_iterator
    operator-(const const_iterator& __x, difference_type __n)
    {
      const_iterator __tmp = __x;
      __tmp -= __n;
      return __tmp;
    }

    friend const_iterator
    operator+(difference_type __n, const const_iterator& __x)
    { return __x + __n; }
  };

  template<typename _Alloc>
    struct _Bvector_base
    {
      typedef typename __gnu_cxx::__alloc_traits<_Alloc>::template
        rebind<_Bit_type>::other _Bit_alloc_type;
      typedef typename __gnu_cxx::__alloc_traits<_Bit_alloc_type>
 _Bit_alloc_traits;
      typedef typename _Bit_alloc_traits::pointer _Bit_pointer;

      struct _Bvector_impl_data
      {

 _Bit_iterator _M_start;
# 440 "/usr/include/c++/11/bits/stl_bvector.h" 3
 _Bit_iterator _M_finish;
 _Bit_pointer _M_end_of_storage;

 _Bvector_impl_data() noexcept
 : _M_start(), _M_finish(), _M_end_of_storage()
 { }


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

 _Bvector_impl_data(_Bvector_impl_data&& __x) noexcept
 : _Bvector_impl_data(__x)
 { __x._M_reset(); }

 void
 _M_move_data(_Bvector_impl_data&& __x) noexcept
 {
   *this = __x;
   __x._M_reset();
 }


 void
 _M_reset() noexcept
 { *this = _Bvector_impl_data(); }

 void
 _M_swap_data(_Bvector_impl_data& __x) noexcept
 {


   std::swap(*this, __x);
 }
      };

      struct _Bvector_impl
 : public _Bit_alloc_type, public _Bvector_impl_data
      {
 _Bvector_impl() noexcept(is_nothrow_default_constructible<_Bit_alloc_type>::value)

 : _Bit_alloc_type()
 { }

 _Bvector_impl(const _Bit_alloc_type& __a) noexcept
 : _Bit_alloc_type(__a)
 { }




 _Bvector_impl(_Bvector_impl&& __x) noexcept
 : _Bit_alloc_type(std::move(__x)), _Bvector_impl_data(std::move(__x))
 { }

 _Bvector_impl(_Bit_alloc_type&& __a, _Bvector_impl&& __x) noexcept
 : _Bit_alloc_type(std::move(__a)), _Bvector_impl_data(std::move(__x))
 { }


 _Bit_type*
 _M_end_addr() const noexcept
 {
   if (this->_M_end_of_storage)
     return std::__addressof(this->_M_end_of_storage[-1]) + 1;
   return 0;
 }
      };

    public:
      typedef _Alloc allocator_type;

      _Bit_alloc_type&
      _M_get_Bit_allocator() noexcept
      { return this->_M_impl; }

      const _Bit_alloc_type&
      _M_get_Bit_allocator() const noexcept
      { return this->_M_impl; }

      allocator_type
      get_allocator() const noexcept
      { return allocator_type(_M_get_Bit_allocator()); }


      _Bvector_base() = default;




      _Bvector_base(const allocator_type& __a)
      : _M_impl(__a) { }


      _Bvector_base(_Bvector_base&&) = default;

      _Bvector_base(_Bvector_base&& __x, const allocator_type& __a) noexcept
      : _M_impl(_Bit_alloc_type(__a), std::move(__x._M_impl))
      { }


      ~_Bvector_base()
      { this->_M_deallocate(); }

    protected:
      _Bvector_impl _M_impl;

      _Bit_pointer
      _M_allocate(size_t __n)
      { return _Bit_alloc_traits::allocate(_M_impl, _S_nword(__n)); }

      void
      _M_deallocate()
      {
 if (_M_impl._M_start._M_p)
   {
     const size_t __n = _M_impl._M_end_addr() - _M_impl._M_start._M_p;
     _Bit_alloc_traits::deallocate(_M_impl,
       _M_impl._M_end_of_storage - __n,
       __n);
     _M_impl._M_reset();
   }
      }


      void
      _M_move_data(_Bvector_base&& __x) noexcept
      { _M_impl._M_move_data(std::move(__x._M_impl)); }


      static size_t
      _S_nword(size_t __n)
      { return (__n + int(_S_word_bit) - 1) / int(_S_word_bit); }
    };
# 595 "/usr/include/c++/11/bits/stl_bvector.h" 3
  template<typename _Alloc>
    class vector<bool, _Alloc> : protected _Bvector_base<_Alloc>
    {
      typedef _Bvector_base<_Alloc> _Base;
      typedef typename _Base::_Bit_pointer _Bit_pointer;
      typedef typename _Base::_Bit_alloc_traits _Bit_alloc_traits;


      friend struct std::hash<vector>;


    public:
      typedef bool value_type;
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef _Bit_reference reference;
      typedef bool const_reference;
      typedef _Bit_reference* pointer;
      typedef const bool* const_pointer;
      typedef _Bit_iterator iterator;
      typedef _Bit_const_iterator const_iterator;
      typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
      typedef std::reverse_iterator<iterator> reverse_iterator;
      typedef _Alloc allocator_type;

      allocator_type
      get_allocator() const
      { return _Base::get_allocator(); }

    protected:
      using _Base::_M_allocate;
      using _Base::_M_deallocate;
      using _Base::_S_nword;
      using _Base::_M_get_Bit_allocator;

    public:

      vector() = default;




      explicit
      vector(const allocator_type& __a)
      : _Base(__a) { }


      explicit
      vector(size_type __n, const allocator_type& __a = allocator_type())
      : vector(__n, false, __a)
      { }

      vector(size_type __n, const bool& __value,
      const allocator_type& __a = allocator_type())





      : _Base(__a)
      {
 _M_initialize(__n);
 _M_initialize_value(__value);
      }

      vector(const vector& __x)
      : _Base(_Bit_alloc_traits::_S_select_on_copy(__x._M_get_Bit_allocator()))
      {
 _M_initialize(__x.size());
 _M_copy_aligned(__x.begin(), __x.end(), begin());
      }


      vector(vector&&) = default;

    private:
      vector(vector&& __x, const allocator_type& __a, true_type) noexcept
      : _Base(std::move(__x), __a)
      { }

      vector(vector&& __x, const allocator_type& __a, false_type)
      : _Base(__a)
      {
 if (__x.get_allocator() == __a)
   this->_M_move_data(std::move(__x));
 else
   {
     _M_initialize(__x.size());
     _M_copy_aligned(__x.begin(), __x.end(), begin());
     __x.clear();
   }
      }

    public:
      vector(vector&& __x, const allocator_type& __a)
      noexcept(_Bit_alloc_traits::_S_always_equal())
      : vector(std::move(__x), __a,
        typename _Bit_alloc_traits::is_always_equal{})
      { }

      vector(const vector& __x, const allocator_type& __a)
      : _Base(__a)
      {
 _M_initialize(__x.size());
 _M_copy_aligned(__x.begin(), __x.end(), begin());
      }

      vector(initializer_list<bool> __l,
      const allocator_type& __a = allocator_type())
      : _Base(__a)
      {
 _M_initialize_range(__l.begin(), __l.end(),
       random_access_iterator_tag());
      }



      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 vector(_InputIterator __first, _InputIterator __last,
        const allocator_type& __a = allocator_type())
 : _Base(__a)
 {
   _M_initialize_range(__first, __last,
         std::__iterator_category(__first));
 }
# 733 "/usr/include/c++/11/bits/stl_bvector.h" 3
      ~vector() noexcept { }

      vector&
      operator=(const vector& __x)
      {
 if (&__x == this)
   return *this;

 if (_Bit_alloc_traits::_S_propagate_on_copy_assign())
   {
     if (this->_M_get_Bit_allocator() != __x._M_get_Bit_allocator())
       {
  this->_M_deallocate();
  std::__alloc_on_copy(_M_get_Bit_allocator(),
         __x._M_get_Bit_allocator());
  _M_initialize(__x.size());
       }
     else
       std::__alloc_on_copy(_M_get_Bit_allocator(),
       __x._M_get_Bit_allocator());
   }

 if (__x.size() > capacity())
   {
     this->_M_deallocate();
     _M_initialize(__x.size());
   }
 this->_M_impl._M_finish = _M_copy_aligned(__x.begin(), __x.end(),
        begin());
 return *this;
      }


      vector&
      operator=(vector&& __x) noexcept(_Bit_alloc_traits::_S_nothrow_move())
      {
 if (_Bit_alloc_traits::_S_propagate_on_move_assign()
     || this->_M_get_Bit_allocator() == __x._M_get_Bit_allocator())
   {
     this->_M_deallocate();
     this->_M_move_data(std::move(__x));
     std::__alloc_on_move(_M_get_Bit_allocator(),
     __x._M_get_Bit_allocator());
   }
 else
   {
     if (__x.size() > capacity())
       {
  this->_M_deallocate();
  _M_initialize(__x.size());
       }
     this->_M_impl._M_finish = _M_copy_aligned(__x.begin(), __x.end(),
            begin());
     __x.clear();
   }
 return *this;
      }

      vector&
      operator=(initializer_list<bool> __l)
      {
 this->assign(__l.begin(), __l.end());
 return *this;
      }






      void
      assign(size_type __n, const bool& __x)
      { _M_fill_assign(__n, __x); }


      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 void
 assign(_InputIterator __first, _InputIterator __last)
 { _M_assign_aux(__first, __last, std::__iterator_category(__first)); }
# 825 "/usr/include/c++/11/bits/stl_bvector.h" 3
      void
      assign(initializer_list<bool> __l)
      { _M_assign_aux(__l.begin(), __l.end(), random_access_iterator_tag()); }


      iterator
      begin() noexcept
      { return iterator(this->_M_impl._M_start._M_p, 0); }

      const_iterator
      begin() const noexcept
      { return const_iterator(this->_M_impl._M_start._M_p, 0); }

      iterator
      end() noexcept
      { return this->_M_impl._M_finish; }

      const_iterator
      end() const noexcept
      { return this->_M_impl._M_finish; }

      reverse_iterator
      rbegin() noexcept
      { return reverse_iterator(end()); }

      const_reverse_iterator
      rbegin() const noexcept
      { return const_reverse_iterator(end()); }

      reverse_iterator
      rend() noexcept
      { return reverse_iterator(begin()); }

      const_reverse_iterator
      rend() const noexcept
      { return const_reverse_iterator(begin()); }


      const_iterator
      cbegin() const noexcept
      { return const_iterator(this->_M_impl._M_start._M_p, 0); }

      const_iterator
      cend() const noexcept
      { return this->_M_impl._M_finish; }

      const_reverse_iterator
      crbegin() const noexcept
      { return const_reverse_iterator(end()); }

      const_reverse_iterator
      crend() const noexcept
      { return const_reverse_iterator(begin()); }


      size_type
      size() const noexcept
      { return size_type(end() - begin()); }

      size_type
      max_size() const noexcept
      {
 const size_type __isize =
   __gnu_cxx::__numeric_traits<difference_type>::__max
   - int(_S_word_bit) + 1;
 const size_type __asize
   = _Bit_alloc_traits::max_size(_M_get_Bit_allocator());
 return (__asize <= __isize / int(_S_word_bit)
  ? __asize * int(_S_word_bit) : __isize);
      }

      size_type
      capacity() const noexcept
      { return size_type(const_iterator(this->_M_impl._M_end_addr(), 0)
    - begin()); }

      [[__nodiscard__]] bool
      empty() const noexcept
      { return begin() == end(); }

      reference
      operator[](size_type __n)
      { return begin()[__n]; }

      const_reference
      operator[](size_type __n) const
      { return begin()[__n]; }

    protected:
      void
      _M_range_check(size_type __n) const
      {
 if (__n >= this->size())
   __throw_out_of_range_fmt(("vector<bool>::_M_range_check: __n " "(which is %zu) >= this->size() " "(which is %zu)")

                            ,
       __n, this->size());
      }

    public:
      reference
      at(size_type __n)
      { _M_range_check(__n); return (*this)[__n]; }

      const_reference
      at(size_type __n) const
      { _M_range_check(__n); return (*this)[__n]; }

      void
      reserve(size_type __n)
      {
 if (__n > max_size())
   __throw_length_error(("vector::reserve"));
 if (capacity() < __n)
   _M_reallocate(__n);
      }

      reference
      front()
      { return *begin(); }

      const_reference
      front() const
      { return *begin(); }

      reference
      back()
      { return *(end() - 1); }

      const_reference
      back() const
      { return *(end() - 1); }






      void
      data() noexcept { }

      void
      push_back(bool __x)
      {
 if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr())
   *this->_M_impl._M_finish++ = __x;
 else
   _M_insert_aux(end(), __x);
      }

      void
      swap(vector& __x) noexcept
      {

 do { if (__builtin_is_constant_evaluated() && !bool(_Bit_alloc_traits::propagate_on_container_swap::value || _M_get_Bit_allocator() == __x._M_get_Bit_allocator())) __builtin_unreachable(); } while (false)
                                                            ;

 this->_M_impl._M_swap_data(__x._M_impl);
 _Bit_alloc_traits::_S_on_swap(_M_get_Bit_allocator(),
          __x._M_get_Bit_allocator());
      }


      static void
      swap(reference __x, reference __y) noexcept
      {
 bool __tmp = __x;
 __x = __y;
 __y = __tmp;
      }

      iterator

      insert(const_iterator __position, const bool& __x = bool())



      {
 const difference_type __n = __position - begin();
 if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr()
     && __position == end())
   *this->_M_impl._M_finish++ = __x;
 else
   _M_insert_aux(__position._M_const_cast(), __x);
 return begin() + __n;
      }


      template<typename _InputIterator,
        typename = std::_RequireInputIter<_InputIterator>>
 iterator
 insert(const_iterator __position,
        _InputIterator __first, _InputIterator __last)
 {
   difference_type __offset = __position - cbegin();
   _M_insert_range(__position._M_const_cast(),
     __first, __last,
     std::__iterator_category(__first));
   return begin() + __offset;
 }
# 1038 "/usr/include/c++/11/bits/stl_bvector.h" 3
      iterator
      insert(const_iterator __position, size_type __n, const bool& __x)
      {
 difference_type __offset = __position - cbegin();
 _M_fill_insert(__position._M_const_cast(), __n, __x);
 return begin() + __offset;
      }







      iterator
      insert(const_iterator __p, initializer_list<bool> __l)
      { return this->insert(__p, __l.begin(), __l.end()); }


      void
      pop_back()
      { --this->_M_impl._M_finish; }

      iterator

      erase(const_iterator __position)



      { return _M_erase(__position._M_const_cast()); }

      iterator

      erase(const_iterator __first, const_iterator __last)



      { return _M_erase(__first._M_const_cast(), __last._M_const_cast()); }

      void
      resize(size_type __new_size, bool __x = bool())
      {
 if (__new_size < size())
   _M_erase_at_end(begin() + difference_type(__new_size));
 else
   insert(end(), __new_size - size(), __x);
      }


      void
      shrink_to_fit()
      { _M_shrink_to_fit(); }


      void
      flip() noexcept
      {
 _Bit_type * const __end = this->_M_impl._M_end_addr();
 for (_Bit_type * __p = this->_M_impl._M_start._M_p; __p != __end; ++__p)
   *__p = ~*__p;
      }

      void
      clear() noexcept
      { _M_erase_at_end(begin()); }


      template<typename... _Args>

 reference



 emplace_back(_Args&&... __args)
 {
   push_back(bool(__args...));

   return back();

 }

      template<typename... _Args>
 iterator
 emplace(const_iterator __pos, _Args&&... __args)
 { return insert(__pos, bool(__args...)); }


    protected:

      iterator
      _M_copy_aligned(const_iterator __first, const_iterator __last,
        iterator __result)
      {
 _Bit_type* __q = std::copy(__first._M_p, __last._M_p, __result._M_p);
 return std::copy(const_iterator(__last._M_p, 0), __last,
    iterator(__q, 0));
      }

      void
      _M_initialize(size_type __n)
      {
 if (__n)
   {
     _Bit_pointer __q = this->_M_allocate(__n);
     this->_M_impl._M_end_of_storage = __q + _S_nword(__n);
     iterator __start = iterator(std::__addressof(*__q), 0);
     this->_M_impl._M_start = __start;
     this->_M_impl._M_finish = __start + difference_type(__n);
   }
      }

      void
      _M_initialize_value(bool __x)
      {
 if (_Bit_type* __p = this->_M_impl._M_start._M_p)
   __builtin_memset(__p, __x ? ~0 : 0,
      (this->_M_impl._M_end_addr() - __p)
      * sizeof(_Bit_type));
      }

      void
      _M_reallocate(size_type __n);


      bool
      _M_shrink_to_fit();
# 1185 "/usr/include/c++/11/bits/stl_bvector.h" 3
      template<typename _InputIterator>
 void
 _M_initialize_range(_InputIterator __first, _InputIterator __last,
       std::input_iterator_tag)
 {
   for (; __first != __last; ++__first)
     push_back(*__first);
 }

      template<typename _ForwardIterator>
 void
 _M_initialize_range(_ForwardIterator __first, _ForwardIterator __last,
       std::forward_iterator_tag)
 {
   const size_type __n = std::distance(__first, __last);
   _M_initialize(__n);
   std::copy(__first, __last, begin());
 }
# 1219 "/usr/include/c++/11/bits/stl_bvector.h" 3
      void
      _M_fill_assign(size_t __n, bool __x)
      {
 if (__n > size())
   {
     _M_initialize_value(__x);
     insert(end(), __n - size(), __x);
   }
 else
   {
     _M_erase_at_end(begin() + __n);
     _M_initialize_value(__x);
   }
      }

      template<typename _InputIterator>
 void
 _M_assign_aux(_InputIterator __first, _InputIterator __last,
        std::input_iterator_tag)
 {
   iterator __cur = begin();
   for (; __first != __last && __cur != end(); ++__cur, (void)++__first)
     *__cur = *__first;
   if (__first == __last)
     _M_erase_at_end(__cur);
   else
     insert(end(), __first, __last);
 }

      template<typename _ForwardIterator>
 void
 _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
        std::forward_iterator_tag)
 {
   const size_type __len = std::distance(__first, __last);
   if (__len < size())
     _M_erase_at_end(std::copy(__first, __last, begin()));
   else
     {
       _ForwardIterator __mid = __first;
       std::advance(__mid, size());
       std::copy(__first, __mid, begin());
       insert(end(), __mid, __last);
     }
 }
# 1283 "/usr/include/c++/11/bits/stl_bvector.h" 3
      void
      _M_fill_insert(iterator __position, size_type __n, bool __x);

      template<typename _InputIterator>
 void
 _M_insert_range(iterator __pos, _InputIterator __first,
   _InputIterator __last, std::input_iterator_tag)
 {
   for (; __first != __last; ++__first)
     {
       __pos = insert(__pos, *__first);
       ++__pos;
     }
 }

      template<typename _ForwardIterator>
 void
 _M_insert_range(iterator __position, _ForwardIterator __first,
   _ForwardIterator __last, std::forward_iterator_tag);

      void
      _M_insert_aux(iterator __position, bool __x);

      size_type
      _M_check_len(size_type __n, const char* __s) const
      {
 if (max_size() - size() < __n)
   __throw_length_error((__s));

 const size_type __len = size() + std::max(size(), __n);
 return (__len < size() || __len > max_size()) ? max_size() : __len;
      }

      void
      _M_erase_at_end(iterator __pos)
      { this->_M_impl._M_finish = __pos; }

      iterator
      _M_erase(iterator __pos);

      iterator
      _M_erase(iterator __first, iterator __last);
  };



  inline void
  __fill_bvector(std::_Bit_type * __v,
   unsigned int __first, unsigned int __last, bool __x)
  {
    using std::_Bit_type;
    using std::_S_word_bit;
    const _Bit_type __fmask = ~0ul << __first;
    const _Bit_type __lmask = ~0ul >> (_S_word_bit - __last);
    const _Bit_type __mask = __fmask & __lmask;

    if (__x)
      *__v |= __mask;
    else
      *__v &= ~__mask;
  }

  inline void
  __fill_a1(std::_Bit_iterator __first,
     std::_Bit_iterator __last, const bool& __x)
  {
    using std::_Bit_type;
    using std::_S_word_bit;
    if (__first._M_p != __last._M_p)
      {
 _Bit_type* __first_p = __first._M_p;
 if (__first._M_offset != 0)
   __fill_bvector(__first_p++, __first._M_offset, _S_word_bit, __x);

 __builtin_memset(__first_p, __x ? ~0 : 0,
    (__last._M_p - __first_p) * sizeof(_Bit_type));

 if (__last._M_offset != 0)
   __fill_bvector(__last._M_p, 0, __last._M_offset, __x);
      }
    else if (__first._M_offset != __last._M_offset)
      __fill_bvector(__first._M_p, __first._M_offset, __last._M_offset, __x);
  }




  template<typename _Alloc>
    struct hash<std::vector<bool, _Alloc>>
    : public __hash_base<size_t, std::vector<bool, _Alloc>>
    {
      size_t
      operator()(const std::vector<bool, _Alloc>&) const noexcept;
    };



}
# 69 "/usr/include/c++/11/vector" 2 3
# 1 "/usr/include/c++/11/bits/range_access.h" 1 3
# 33 "/usr/include/c++/11/bits/range_access.h" 3
       
# 34 "/usr/include/c++/11/bits/range_access.h" 3






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







  template<typename _Container>
    inline constexpr auto
    begin(_Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline constexpr auto
    begin(const _Container& __cont) -> decltype(__cont.begin())
    { return __cont.begin(); }






  template<typename _Container>
    inline constexpr auto
    end(_Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }






  template<typename _Container>
    inline constexpr auto
    end(const _Container& __cont) -> decltype(__cont.end())
    { return __cont.end(); }





  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    begin(_Tp (&__arr)[_Nm]) noexcept
    { return __arr; }






  template<typename _Tp, size_t _Nm>
    inline constexpr _Tp*
    end(_Tp (&__arr)[_Nm]) noexcept
    { return __arr + _Nm; }



  template<typename _Tp> class valarray;

  template<typename _Tp> _Tp* begin(valarray<_Tp>&) noexcept;
  template<typename _Tp> const _Tp* begin(const valarray<_Tp>&) noexcept;
  template<typename _Tp> _Tp* end(valarray<_Tp>&) noexcept;
  template<typename _Tp> const _Tp* end(const valarray<_Tp>&) noexcept;






  template<typename _Container>
    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 constexpr auto
    rbegin(_Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline constexpr auto
    rbegin(const _Container& __cont) -> decltype(__cont.rbegin())
    { return __cont.rbegin(); }






  template<typename _Container>
    inline constexpr auto
    rend(_Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Container>
    inline constexpr auto
    rend(const _Container& __cont) -> decltype(__cont.rend())
    { return __cont.rend(); }






  template<typename _Tp, size_t _Nm>
    inline constexpr reverse_iterator<_Tp*>
    rbegin(_Tp (&__arr)[_Nm]) noexcept
    { return reverse_iterator<_Tp*>(__arr + _Nm); }






  template<typename _Tp, size_t _Nm>
    inline constexpr reverse_iterator<_Tp*>
    rend(_Tp (&__arr)[_Nm]) noexcept
    { return reverse_iterator<_Tp*>(__arr); }






  template<typename _Tp>
    inline constexpr reverse_iterator<const _Tp*>
    rbegin(initializer_list<_Tp> __il) noexcept
    { return reverse_iterator<const _Tp*>(__il.end()); }






  template<typename _Tp>
    inline constexpr reverse_iterator<const _Tp*>
    rend(initializer_list<_Tp> __il) noexcept
    { return reverse_iterator<const _Tp*>(__il.begin()); }






  template<typename _Container>
    inline constexpr auto
    crbegin(const _Container& __cont) -> decltype(std::rbegin(__cont))
    { return std::rbegin(__cont); }






  template<typename _Container>
    inline constexpr auto
    crend(const _Container& __cont) -> decltype(std::rend(__cont))
    { return std::rend(__cont); }
# 243 "/usr/include/c++/11/bits/range_access.h" 3
  template <typename _Container>
    constexpr auto
    size(const _Container& __cont) noexcept(noexcept(__cont.size()))
    -> decltype(__cont.size())
    { return __cont.size(); }




  template <typename _Tp, size_t _Nm>
    constexpr size_t
    size(const _Tp (&)[_Nm]) noexcept
    { return _Nm; }





  template <typename _Container>
    [[nodiscard]] constexpr auto
    empty(const _Container& __cont) noexcept(noexcept(__cont.empty()))
    -> decltype(__cont.empty())
    { return __cont.empty(); }




  template <typename _Tp, size_t _Nm>
    [[nodiscard]] constexpr bool
    empty(const _Tp (&)[_Nm]) noexcept
    { return false; }





  template <typename _Tp>
    [[nodiscard]] constexpr bool
    empty(initializer_list<_Tp> __il) noexcept
    { return __il.size() == 0;}





  template <typename _Container>
    constexpr auto
    data(_Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Container>
    constexpr auto
    data(const _Container& __cont) noexcept(noexcept(__cont.data()))
    -> decltype(__cont.data())
    { return __cont.data(); }





  template <typename _Tp, size_t _Nm>
    constexpr _Tp*
    data(_Tp (&__array)[_Nm]) noexcept
    { return __array; }





  template <typename _Tp>
    constexpr const _Tp*
    data(initializer_list<_Tp> __il) noexcept
    { return __il.begin(); }
# 341 "/usr/include/c++/11/bits/range_access.h" 3

}
# 70 "/usr/include/c++/11/vector" 2 3


# 1 "/usr/include/c++/11/bits/vector.tcc" 1 3
# 59 "/usr/include/c++/11/bits/vector.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    reserve(size_type __n)
    {
      if (__n > this->max_size())
 __throw_length_error(("vector::reserve"));
      if (this->capacity() < __n)
 {
   const size_type __old_size = size();
   pointer __tmp;

   if constexpr (_S_use_relocate())
     {
       __tmp = this->_M_allocate(__n);
       _S_relocate(this->_M_impl._M_start, this->_M_impl._M_finish,
     __tmp, _M_get_Tp_allocator());
     }
   else

     {
       __tmp = _M_allocate_and_copy(__n,
  std::__make_move_if_noexcept_iterator(this->_M_impl._M_start),
  std::__make_move_if_noexcept_iterator(this->_M_impl._M_finish));
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     }
   ;
   _M_deallocate(this->_M_impl._M_start,
   this->_M_impl._M_end_of_storage
   - this->_M_impl._M_start);
   this->_M_impl._M_start = __tmp;
   this->_M_impl._M_finish = __tmp + __old_size;
   this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __n;
 }
    }


  template<typename _Tp, typename _Alloc>
    template<typename... _Args>

      typename vector<_Tp, _Alloc>::reference



      vector<_Tp, _Alloc>::
      emplace_back(_Args&&... __args)
      {
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         std::forward<_Args>(__args)...);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_realloc_insert(end(), std::forward<_Args>(__args)...);

 return back();

      }


  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::

    insert(const_iterator __position, const value_type& __x)



    {
      const size_type __n = __position - begin();
      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
 if (__position == end())
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         __x);
     ++this->_M_impl._M_finish;
     ;
   }
 else
   {

     const auto __pos = begin() + (__position - cbegin());


     _Temporary_value __x_copy(this, __x);
     _M_insert_aux(__pos, std::move(__x_copy._M_val()));



   }
      else

 _M_realloc_insert(begin() + (__position - cbegin()), __x);




      return iterator(this->_M_impl._M_start + __n);
    }

  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::
    _M_erase(iterator __position)
    {
      if (__position + 1 != end())
 std::move(__position + 1, end(), __position);
      --this->_M_impl._M_finish;
      _Alloc_traits::destroy(this->_M_impl, this->_M_impl._M_finish);
      ;
      return __position;
    }

  template<typename _Tp, typename _Alloc>
    typename vector<_Tp, _Alloc>::iterator
    vector<_Tp, _Alloc>::
    _M_erase(iterator __first, iterator __last)
    {
      if (__first != __last)
 {
   if (__last != end())
     std::move(__last, end(), __first);
   _M_erase_at_end(__first.base() + (end() - __last));
 }
      return __first;
    }

  template<typename _Tp, typename _Alloc>
    vector<_Tp, _Alloc>&
    vector<_Tp, _Alloc>::
    operator=(const vector<_Tp, _Alloc>& __x)
    {
      if (&__x != this)
 {
   ;

   if (_Alloc_traits::_S_propagate_on_copy_assign())
     {
       if (!_Alloc_traits::_S_always_equal()
           && _M_get_Tp_allocator() != __x._M_get_Tp_allocator())
         {

    this->clear();
    _M_deallocate(this->_M_impl._M_start,
    this->_M_impl._M_end_of_storage
    - this->_M_impl._M_start);
    this->_M_impl._M_start = nullptr;
    this->_M_impl._M_finish = nullptr;
    this->_M_impl._M_end_of_storage = nullptr;
  }
       std::__alloc_on_copy(_M_get_Tp_allocator(),
       __x._M_get_Tp_allocator());
     }

   const size_type __xlen = __x.size();
   if (__xlen > capacity())
     {
       pointer __tmp = _M_allocate_and_copy(__xlen, __x.begin(),
         __x.end());
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __tmp;
       this->_M_impl._M_end_of_storage = this->_M_impl._M_start + __xlen;
     }
   else if (size() >= __xlen)
     {
       std::_Destroy(std::copy(__x.begin(), __x.end(), begin()),
       end(), _M_get_Tp_allocator());
     }
   else
     {
       std::copy(__x._M_impl._M_start, __x._M_impl._M_start + size(),
   this->_M_impl._M_start);
       std::__uninitialized_copy_a(__x._M_impl._M_start + size(),
       __x._M_impl._M_finish,
       this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     }
   this->_M_impl._M_finish = this->_M_impl._M_start + __xlen;
 }
      return *this;
    }

  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_fill_assign(size_t __n, const value_type& __val)
    {
      if (__n > capacity())
 {
   vector __tmp(__n, __val, _M_get_Tp_allocator());
   __tmp._M_impl._M_swap_data(this->_M_impl);
 }
      else if (__n > size())
 {
   std::fill(begin(), end(), __val);
   const size_type __add = __n - size();
   ;
   this->_M_impl._M_finish =
     std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
       __add, __val, _M_get_Tp_allocator());
   ;
 }
      else
        _M_erase_at_end(std::fill_n(this->_M_impl._M_start, __n, __val));
    }

  template<typename _Tp, typename _Alloc>
    template<typename _InputIterator>
      void
      vector<_Tp, _Alloc>::
      _M_assign_aux(_InputIterator __first, _InputIterator __last,
      std::input_iterator_tag)
      {
 pointer __cur(this->_M_impl._M_start);
 for (; __first != __last && __cur != this->_M_impl._M_finish;
      ++__cur, (void)++__first)
   *__cur = *__first;
 if (__first == __last)
   _M_erase_at_end(__cur);
 else
   _M_range_insert(end(), __first, __last,
     std::__iterator_category(__first));
      }

  template<typename _Tp, typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<_Tp, _Alloc>::
      _M_assign_aux(_ForwardIterator __first, _ForwardIterator __last,
      std::forward_iterator_tag)
      {
 const size_type __len = std::distance(__first, __last);

 if (__len > capacity())
   {
     _S_check_init_len(__len, _M_get_Tp_allocator());
     pointer __tmp(_M_allocate_and_copy(__len, __first, __last));
     std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
     _M_get_Tp_allocator());
     ;
     _M_deallocate(this->_M_impl._M_start,
     this->_M_impl._M_end_of_storage
     - this->_M_impl._M_start);
     this->_M_impl._M_start = __tmp;
     this->_M_impl._M_finish = this->_M_impl._M_start + __len;
     this->_M_impl._M_end_of_storage = this->_M_impl._M_finish;
   }
 else if (size() >= __len)
   _M_erase_at_end(std::copy(__first, __last, this->_M_impl._M_start));
 else
   {
     _ForwardIterator __mid = __first;
     std::advance(__mid, size());
     std::copy(__first, __mid, this->_M_impl._M_start);
     const size_type __attribute__((__unused__)) __n = __len - size();
     ;
     this->_M_impl._M_finish =
       std::__uninitialized_copy_a(__mid, __last,
       this->_M_impl._M_finish,
       _M_get_Tp_allocator());
     ;
   }
      }


  template<typename _Tp, typename _Alloc>
    auto
    vector<_Tp, _Alloc>::
    _M_insert_rval(const_iterator __position, value_type&& __v) -> iterator
    {
      const auto __n = __position - cbegin();
      if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
 if (__position == cend())
   {
     ;
     _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
         std::move(__v));
     ++this->_M_impl._M_finish;
     ;
   }
 else
   _M_insert_aux(begin() + __n, std::move(__v));
      else
 _M_realloc_insert(begin() + __n, std::move(__v));

      return iterator(this->_M_impl._M_start + __n);
    }

  template<typename _Tp, typename _Alloc>
    template<typename... _Args>
      auto
      vector<_Tp, _Alloc>::
      _M_emplace_aux(const_iterator __position, _Args&&... __args)
      -> iterator
      {
 const auto __n = __position - cbegin();
 if (this->_M_impl._M_finish != this->_M_impl._M_end_of_storage)
   if (__position == cend())
     {
       ;
       _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
           std::forward<_Args>(__args)...);
       ++this->_M_impl._M_finish;
       ;
     }
   else
     {



       _Temporary_value __tmp(this, std::forward<_Args>(__args)...);
       _M_insert_aux(begin() + __n, std::move(__tmp._M_val()));
     }
 else
   _M_realloc_insert(begin() + __n, std::forward<_Args>(__args)...);

 return iterator(this->_M_impl._M_start + __n);
      }

  template<typename _Tp, typename _Alloc>
    template<typename _Arg>
      void
      vector<_Tp, _Alloc>::
      _M_insert_aux(iterator __position, _Arg&& __arg)






    {
      ;
      _Alloc_traits::construct(this->_M_impl, this->_M_impl._M_finish,
          std::move(*(this->_M_impl._M_finish - 1)));
      ++this->_M_impl._M_finish;
      ;



      std::move_backward(__position.base(), this->_M_impl._M_finish - 2, this->_M_impl._M_finish - 1)

                                     ;



      *__position = std::forward<_Arg>(__arg);

    }


  template<typename _Tp, typename _Alloc>
    template<typename... _Args>
      void
      vector<_Tp, _Alloc>::
      _M_realloc_insert(iterator __position, _Args&&... __args)






    {
      const size_type __len =
 _M_check_len(size_type(1), "vector::_M_realloc_insert");
      pointer __old_start = this->_M_impl._M_start;
      pointer __old_finish = this->_M_impl._M_finish;
      const size_type __elems_before = __position - begin();
      pointer __new_start(this->_M_allocate(__len));
      pointer __new_finish(__new_start);
      try
 {





   _Alloc_traits::construct(this->_M_impl,
       __new_start + __elems_before,

       std::forward<_Args>(__args)...);



   __new_finish = pointer();


   if constexpr (_S_use_relocate())
     {
       __new_finish = _S_relocate(__old_start, __position.base(),
      __new_start, _M_get_Tp_allocator());

       ++__new_finish;

       __new_finish = _S_relocate(__position.base(), __old_finish,
      __new_finish, _M_get_Tp_allocator());
     }
   else

     {
       __new_finish
  = std::__uninitialized_move_if_noexcept_a
  (__old_start, __position.base(),
   __new_start, _M_get_Tp_allocator());

       ++__new_finish;

       __new_finish
  = std::__uninitialized_move_if_noexcept_a
  (__position.base(), __old_finish,
   __new_finish, _M_get_Tp_allocator());
     }
 }
      catch(...)
 {
   if (!__new_finish)
     _Alloc_traits::destroy(this->_M_impl,
       __new_start + __elems_before);
   else
     std::_Destroy(__new_start, __new_finish, _M_get_Tp_allocator());
   _M_deallocate(__new_start, __len);
   throw;
 }

      if constexpr (!_S_use_relocate())

 std::_Destroy(__old_start, __old_finish, _M_get_Tp_allocator());
      ;
      _M_deallocate(__old_start,
      this->_M_impl._M_end_of_storage - __old_start);
      this->_M_impl._M_start = __new_start;
      this->_M_impl._M_finish = __new_finish;
      this->_M_impl._M_end_of_storage = __new_start + __len;
    }

  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_fill_insert(iterator __position, size_type __n, const value_type& __x)
    {
      if (__n != 0)
 {
   if (size_type(this->_M_impl._M_end_of_storage
   - this->_M_impl._M_finish) >= __n)
     {



       _Temporary_value __tmp(this, __x);
       value_type& __x_copy = __tmp._M_val();

       const size_type __elems_after = end() - __position;
       pointer __old_finish(this->_M_impl._M_finish);
       if (__elems_after > __n)
  {
    ;
    std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
           this->_M_impl._M_finish,
           this->_M_impl._M_finish,
           _M_get_Tp_allocator());
    this->_M_impl._M_finish += __n;
    ;
    std::move_backward(__position.base(), __old_finish - __n, __old_finish)
                                        ;
    std::fill(__position.base(), __position.base() + __n,
       __x_copy);
  }
       else
  {
    ;
    this->_M_impl._M_finish =
      std::__uninitialized_fill_n_a(this->_M_impl._M_finish,
        __n - __elems_after,
        __x_copy,
        _M_get_Tp_allocator());
    ;
    std::__uninitialized_move_a(__position.base(), __old_finish,
           this->_M_impl._M_finish,
           _M_get_Tp_allocator());
    this->_M_impl._M_finish += __elems_after;
    ;
    std::fill(__position.base(), __old_finish, __x_copy);
  }
     }
   else
     {
       const size_type __len =
  _M_check_len(__n, "vector::_M_fill_insert");
       const size_type __elems_before = __position - begin();
       pointer __new_start(this->_M_allocate(__len));
       pointer __new_finish(__new_start);
       try
  {

    std::__uninitialized_fill_n_a(__new_start + __elems_before,
      __n, __x,
      _M_get_Tp_allocator());
    __new_finish = pointer();

    __new_finish
      = std::__uninitialized_move_if_noexcept_a
      (this->_M_impl._M_start, __position.base(),
       __new_start, _M_get_Tp_allocator());

    __new_finish += __n;

    __new_finish
      = std::__uninitialized_move_if_noexcept_a
      (__position.base(), this->_M_impl._M_finish,
       __new_finish, _M_get_Tp_allocator());
  }
       catch(...)
  {
    if (!__new_finish)
      std::_Destroy(__new_start + __elems_before,
      __new_start + __elems_before + __n,
      _M_get_Tp_allocator());
    else
      std::_Destroy(__new_start, __new_finish,
      _M_get_Tp_allocator());
    _M_deallocate(__new_start, __len);
    throw;
  }
       std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
       _M_get_Tp_allocator());
       ;
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __new_start;
       this->_M_impl._M_finish = __new_finish;
       this->_M_impl._M_end_of_storage = __new_start + __len;
     }
 }
    }


  template<typename _Tp, typename _Alloc>
    void
    vector<_Tp, _Alloc>::
    _M_default_append(size_type __n)
    {
      if (__n != 0)
 {
   const size_type __size = size();
   size_type __navail = size_type(this->_M_impl._M_end_of_storage
      - this->_M_impl._M_finish);

   if (__size > max_size() || __navail > max_size() - __size)
     __builtin_unreachable();

   if (__navail >= __n)
     {
       ;
       this->_M_impl._M_finish =
  std::__uninitialized_default_n_a(this->_M_impl._M_finish,
       __n, _M_get_Tp_allocator());
       ;
     }
   else
     {
       const size_type __len =
  _M_check_len(__n, "vector::_M_default_append");
       pointer __new_start(this->_M_allocate(__len));
       if constexpr (_S_use_relocate())
  {
    try
      {
        std::__uninitialized_default_n_a(__new_start + __size,
         __n, _M_get_Tp_allocator());
      }
    catch(...)
      {
        _M_deallocate(__new_start, __len);
        throw;
      }
    _S_relocate(this->_M_impl._M_start, this->_M_impl._M_finish,
         __new_start, _M_get_Tp_allocator());
  }
       else
  {
    pointer __destroy_from = pointer();
    try
      {
        std::__uninitialized_default_n_a(__new_start + __size,
         __n, _M_get_Tp_allocator());
        __destroy_from = __new_start + __size;
        std::__uninitialized_move_if_noexcept_a(
         this->_M_impl._M_start, this->_M_impl._M_finish,
         __new_start, _M_get_Tp_allocator());
      }
    catch(...)
      {
        if (__destroy_from)
   std::_Destroy(__destroy_from, __destroy_from + __n,
          _M_get_Tp_allocator());
        _M_deallocate(__new_start, __len);
        throw;
      }
    std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
    _M_get_Tp_allocator());
  }
       ;
       _M_deallocate(this->_M_impl._M_start,
       this->_M_impl._M_end_of_storage
       - this->_M_impl._M_start);
       this->_M_impl._M_start = __new_start;
       this->_M_impl._M_finish = __new_start + __size + __n;
       this->_M_impl._M_end_of_storage = __new_start + __len;
     }
 }
    }

  template<typename _Tp, typename _Alloc>
    bool
    vector<_Tp, _Alloc>::
    _M_shrink_to_fit()
    {
      if (capacity() == size())
 return false;
      ;
      return std::__shrink_to_fit_aux<vector>::_S_do_it(*this);
    }


  template<typename _Tp, typename _Alloc>
    template<typename _InputIterator>
      void
      vector<_Tp, _Alloc>::
      _M_range_insert(iterator __pos, _InputIterator __first,
        _InputIterator __last, std::input_iterator_tag)
      {
 if (__pos == end())
   {
     for (; __first != __last; ++__first)
       insert(end(), *__first);
   }
 else if (__first != __last)
   {
     vector __tmp(__first, __last, _M_get_Tp_allocator());
     insert(__pos,
     std::make_move_iterator(__tmp.begin()),
     std::make_move_iterator(__tmp.end()));
   }
      }

  template<typename _Tp, typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<_Tp, _Alloc>::
      _M_range_insert(iterator __position, _ForwardIterator __first,
        _ForwardIterator __last, std::forward_iterator_tag)
      {
 if (__first != __last)
   {
     const size_type __n = std::distance(__first, __last);
     if (size_type(this->_M_impl._M_end_of_storage
     - this->_M_impl._M_finish) >= __n)
       {
  const size_type __elems_after = end() - __position;
  pointer __old_finish(this->_M_impl._M_finish);
  if (__elems_after > __n)
    {
      ;
      std::__uninitialized_move_a(this->_M_impl._M_finish - __n,
      this->_M_impl._M_finish,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __n;
      ;
      std::move_backward(__position.base(), __old_finish - __n, __old_finish)
                                          ;
      std::copy(__first, __last, __position);
    }
  else
    {
      _ForwardIterator __mid = __first;
      std::advance(__mid, __elems_after);
      ;
      std::__uninitialized_copy_a(__mid, __last,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __n - __elems_after;
      ;
      std::__uninitialized_move_a(__position.base(),
      __old_finish,
      this->_M_impl._M_finish,
      _M_get_Tp_allocator());
      this->_M_impl._M_finish += __elems_after;
      ;
      std::copy(__first, __mid, __position);
    }
       }
     else
       {
  const size_type __len =
    _M_check_len(__n, "vector::_M_range_insert");
  pointer __new_start(this->_M_allocate(__len));
  pointer __new_finish(__new_start);
  try
    {
      __new_finish
        = std::__uninitialized_move_if_noexcept_a
        (this->_M_impl._M_start, __position.base(),
         __new_start, _M_get_Tp_allocator());
      __new_finish
        = std::__uninitialized_copy_a(__first, __last,
          __new_finish,
          _M_get_Tp_allocator());
      __new_finish
        = std::__uninitialized_move_if_noexcept_a
        (__position.base(), this->_M_impl._M_finish,
         __new_finish, _M_get_Tp_allocator());
    }
  catch(...)
    {
      std::_Destroy(__new_start, __new_finish,
      _M_get_Tp_allocator());
      _M_deallocate(__new_start, __len);
      throw;
    }
  std::_Destroy(this->_M_impl._M_start, this->_M_impl._M_finish,
         _M_get_Tp_allocator());
  ;
  _M_deallocate(this->_M_impl._M_start,
         this->_M_impl._M_end_of_storage
         - this->_M_impl._M_start);
  this->_M_impl._M_start = __new_start;
  this->_M_impl._M_finish = __new_finish;
  this->_M_impl._M_end_of_storage = __new_start + __len;
       }
   }
      }



  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_reallocate(size_type __n)
    {
      _Bit_pointer __q = this->_M_allocate(__n);
      iterator __start(std::__addressof(*__q), 0);
      iterator __finish(_M_copy_aligned(begin(), end(), __start));
      this->_M_deallocate();
      this->_M_impl._M_start = __start;
      this->_M_impl._M_finish = __finish;
      this->_M_impl._M_end_of_storage = __q + _S_nword(__n);
    }

  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_fill_insert(iterator __position, size_type __n, bool __x)
    {
      if (__n == 0)
 return;
      if (capacity() - size() >= __n)
 {
   std::copy_backward(__position, end(),
        this->_M_impl._M_finish + difference_type(__n));
   std::fill(__position, __position + difference_type(__n), __x);
   this->_M_impl._M_finish += difference_type(__n);
 }
      else
 {
   const size_type __len =
     _M_check_len(__n, "vector<bool>::_M_fill_insert");
   _Bit_pointer __q = this->_M_allocate(__len);
   iterator __start(std::__addressof(*__q), 0);
   iterator __i = _M_copy_aligned(begin(), __position, __start);
   std::fill(__i, __i + difference_type(__n), __x);
   iterator __finish = std::copy(__position, end(),
     __i + difference_type(__n));
   this->_M_deallocate();
   this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
   this->_M_impl._M_start = __start;
   this->_M_impl._M_finish = __finish;
 }
    }

  template<typename _Alloc>
    template<typename _ForwardIterator>
      void
      vector<bool, _Alloc>::
      _M_insert_range(iterator __position, _ForwardIterator __first,
        _ForwardIterator __last, std::forward_iterator_tag)
      {
 if (__first != __last)
   {
     size_type __n = std::distance(__first, __last);
     if (capacity() - size() >= __n)
       {
  std::copy_backward(__position, end(),
       this->_M_impl._M_finish
       + difference_type(__n));
  std::copy(__first, __last, __position);
  this->_M_impl._M_finish += difference_type(__n);
       }
     else
       {
  const size_type __len =
    _M_check_len(__n, "vector<bool>::_M_insert_range");
  _Bit_pointer __q = this->_M_allocate(__len);
  iterator __start(std::__addressof(*__q), 0);
  iterator __i = _M_copy_aligned(begin(), __position, __start);
  __i = std::copy(__first, __last, __i);
  iterator __finish = std::copy(__position, end(), __i);
  this->_M_deallocate();
  this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
  this->_M_impl._M_start = __start;
  this->_M_impl._M_finish = __finish;
       }
   }
      }

  template<typename _Alloc>
    void
    vector<bool, _Alloc>::
    _M_insert_aux(iterator __position, bool __x)
    {
      if (this->_M_impl._M_finish._M_p != this->_M_impl._M_end_addr())
 {
   std::copy_backward(__position, this->_M_impl._M_finish,
        this->_M_impl._M_finish + 1);
   *__position = __x;
   ++this->_M_impl._M_finish;
 }
      else
 {
   const size_type __len =
     _M_check_len(size_type(1), "vector<bool>::_M_insert_aux");
   _Bit_pointer __q = this->_M_allocate(__len);
   iterator __start(std::__addressof(*__q), 0);
   iterator __i = _M_copy_aligned(begin(), __position, __start);
   *__i++ = __x;
   iterator __finish = std::copy(__position, end(), __i);
   this->_M_deallocate();
   this->_M_impl._M_end_of_storage = __q + _S_nword(__len);
   this->_M_impl._M_start = __start;
   this->_M_impl._M_finish = __finish;
 }
    }

  template<typename _Alloc>
    typename vector<bool, _Alloc>::iterator
    vector<bool, _Alloc>::
    _M_erase(iterator __position)
    {
      if (__position + 1 != end())
        std::copy(__position + 1, end(), __position);
      --this->_M_impl._M_finish;
      return __position;
    }

  template<typename _Alloc>
    typename vector<bool, _Alloc>::iterator
    vector<bool, _Alloc>::
    _M_erase(iterator __first, iterator __last)
    {
      if (__first != __last)
 _M_erase_at_end(std::copy(__last, end(), __first));
      return __first;
    }


  template<typename _Alloc>
    bool
    vector<bool, _Alloc>::
    _M_shrink_to_fit()
    {
      if (capacity() - size() < int(_S_word_bit))
 return false;
      try
 {
   if (size_type __n = size())
     _M_reallocate(__n);
   else
     {
       this->_M_deallocate();
       this->_M_impl._M_reset();
     }
   return true;
 }
      catch(...)
 { return false; }
    }




}



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


  template<typename _Alloc>
    size_t
    hash<std::vector<bool, _Alloc>>::
    operator()(const std::vector<bool, _Alloc>& __b) const noexcept
    {
      size_t __hash = 0;
      using std::_S_word_bit;
      using std::_Bit_type;

      const size_t __words = __b.size() / _S_word_bit;
      if (__words)
 {
   const size_t __clength = __words * sizeof(_Bit_type);
   __hash = std::_Hash_impl::hash(__b._M_impl._M_start._M_p, __clength);
 }

      const size_t __extrabits = __b.size() % _S_word_bit;
      if (__extrabits)
 {
   _Bit_type __hiword = *__b._M_impl._M_finish._M_p;
   __hiword &= ~((~static_cast<_Bit_type>(0)) << __extrabits);

   const size_t __clength
     = (__extrabits + 8 - 1) / 8;
   if (__words)
     __hash = std::_Hash_impl::hash(&__hiword, __clength, __hash);
   else
     __hash = std::_Hash_impl::hash(&__hiword, __clength);
 }

      return __hash;
    }


}
# 73 "/usr/include/c++/11/vector" 2 3







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

  namespace pmr {
    template<typename _Tp> class polymorphic_allocator;
    template<typename _Tp>
      using vector = std::vector<_Tp, polymorphic_allocator<_Tp>>;
  }








}
# 3 "mixer0.cpp" 2

# 3 "mixer0.cpp"
using namespace std;


struct XC{
    int a;
    double b;
    vector<int> c;
    void d(){}
    void e(int XC){}
    void e(int XC,int XC2){}
    int g(int XC){return XC + 2236;}
    XC(){}
    XC(int X):a(X){}
};

int main(){
    XC a(114),b(514);
    a.e(223);
    XC c;
    c.c.push_back(2236);
    int def;
    for (int i = 1;i <= 114514;i ++)printf("XC");
    return 0;
}