extern long __VERIFIER_nondet_long(void);
extern unsigned long __VERIFIER_nondet_ulong(void);
extern int __VERIFIER_nondet_int(void);
extern unsigned int __VERIFIER_nondet_uint(void);
extern char __VERIFIER_nondet_char(void);
extern short __VERIFIER_nondet_short(void);
extern void abort(void);
void assume_abort_if_not(int cond) {
  if(!cond) {abort();}
}
extern void abort(void);

extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
extern void __assert (const char *__assertion, const char *__file, int __line)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));

void reach_error() { ((void) sizeof ((0) ? 1 : 0), __extension__ ({ if (0) ; else __assert_fail ("0", "busybox_sv_comp.h", 14, __extension__ __PRETTY_FUNCTION__); })); }
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 long int __quad_t;
typedef unsigned long int __u_quad_t;
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 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 __quad_t *__qaddr_t;
typedef char *__caddr_t;
typedef long int __intptr_t;
typedef unsigned int __socklen_t;

static __inline unsigned int
__bswap_32 (unsigned int __bsx)
{
  return __builtin_bswap32 (__bsx);
}
static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{
  return __builtin_bswap64 (__bsx);
}
enum
{
  _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
  _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
  _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
  _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
  _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
  _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
  _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
  _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
  _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
  _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
  _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
  _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
};
extern const unsigned short int **__ctype_b_loc (void)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
extern const __int32_t **__ctype_tolower_loc (void)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
extern const __int32_t **__ctype_toupper_loc (void)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));

extern int isalnum (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isalpha (int) __attribute__ ((__nothrow__ , __leaf__));
extern int iscntrl (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isdigit (int) __attribute__ ((__nothrow__ , __leaf__));
extern int islower (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isgraph (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isprint (int) __attribute__ ((__nothrow__ , __leaf__));
extern int ispunct (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isspace (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isupper (int) __attribute__ ((__nothrow__ , __leaf__));
extern int isxdigit (int) __attribute__ ((__nothrow__ , __leaf__));
extern int tolower (int __c) __attribute__ ((__nothrow__ , __leaf__));
extern int toupper (int __c) __attribute__ ((__nothrow__ , __leaf__));


extern int isblank (int) __attribute__ ((__nothrow__ , __leaf__));

extern int isascii (int __c) __attribute__ ((__nothrow__ , __leaf__));
extern int toascii (int __c) __attribute__ ((__nothrow__ , __leaf__));
extern int _toupper (int) __attribute__ ((__nothrow__ , __leaf__));
extern int _tolower (int) __attribute__ ((__nothrow__ , __leaf__));
typedef struct __locale_struct
{
  struct __locale_data *__locales[13];
  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;
  const char *__names[13];
} *__locale_t;
typedef __locale_t locale_t;
extern int isalnum_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isalpha_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int iscntrl_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isdigit_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int islower_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isgraph_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isprint_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int ispunct_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isspace_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isupper_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isxdigit_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int isblank_l (int, __locale_t) __attribute__ ((__nothrow__ , __leaf__));
extern int __tolower_l (int __c, __locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
extern int tolower_l (int __c, __locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
extern int __toupper_l (int __c, __locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
extern int toupper_l (int __c, __locale_t __l) __attribute__ ((__nothrow__ , __leaf__));

extern char *optarg;
extern int optind;
extern int opterr;
extern int optopt;
struct option
{
  const char *name;
  int has_arg;
  int *flag;
  int val;
};
extern int getopt (int ___argc, char *const *___argv, const char *__shortopts)
       __attribute__ ((__nothrow__ , __leaf__));
extern int getopt_long (int ___argc, char *const *___argv,
   const char *__shortopts,
          const struct option *__longopts, int *__longind)
       __attribute__ ((__nothrow__ , __leaf__));
extern int getopt_long_only (int ___argc, char *const *___argv,
        const char *__shortopts,
               const struct option *__longopts, int *__longind)
       __attribute__ ((__nothrow__ , __leaf__));

extern char *dirname (char *__path) __attribute__ ((__nothrow__ , __leaf__));
extern char *__xpg_basename (char *__path) __attribute__ ((__nothrow__ , __leaf__));

typedef long unsigned int size_t;
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
typedef struct
{
  __off_t __pos;
  __mbstate_t __state;
} _G_fpos_t;
typedef struct
{
  __off64_t __pos;
  __mbstate_t __state;
} _G_fpos64_t;
typedef __builtin_va_list __gnuc_va_list;
struct _IO_jump_t; struct _IO_FILE;
typedef void _IO_lock_t;
struct _IO_marker {
  struct _IO_marker *_next;
  struct _IO_FILE *_sbuf;
  int _pos;
};
enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
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;
  void *__pad1;
  void *__pad2;
  void *__pad3;
  void *__pad4;
  size_t __pad5;
  int _mode;
  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];
};
typedef struct _IO_FILE _IO_FILE;
struct _IO_FILE_plus;
extern struct _IO_FILE_plus _IO_2_1_stdin_;
extern struct _IO_FILE_plus _IO_2_1_stdout_;
extern struct _IO_FILE_plus _IO_2_1_stderr_;
typedef __ssize_t __io_read_fn (void *__cookie, char *__buf, size_t __nbytes);
typedef __ssize_t __io_write_fn (void *__cookie, const char *__buf,
     size_t __n);
typedef int __io_seek_fn (void *__cookie, __off64_t *__pos, int __w);
typedef int __io_close_fn (void *__cookie);
extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);
extern int _IO_getc (_IO_FILE *__fp);
extern int _IO_putc (int __c, _IO_FILE *__fp);
extern int _IO_feof (_IO_FILE *__fp) __attribute__ ((__nothrow__ , __leaf__));
extern int _IO_ferror (_IO_FILE *__fp) __attribute__ ((__nothrow__ , __leaf__));
extern int _IO_peekc_locked (_IO_FILE *__fp);
extern void _IO_flockfile (_IO_FILE *) __attribute__ ((__nothrow__ , __leaf__));
extern void _IO_funlockfile (_IO_FILE *) __attribute__ ((__nothrow__ , __leaf__));
extern int _IO_ftrylockfile (_IO_FILE *) __attribute__ ((__nothrow__ , __leaf__));
extern int _IO_vfscanf (_IO_FILE * __restrict, const char * __restrict,
   __gnuc_va_list, int *__restrict);
extern int _IO_vfprintf (_IO_FILE *__restrict, const char *__restrict,
    __gnuc_va_list);
extern __ssize_t _IO_padn (_IO_FILE *, int, __ssize_t);
extern size_t _IO_sgetn (_IO_FILE *, void *, size_t);
extern __off64_t _IO_seekoff (_IO_FILE *, __off64_t, int, int);
extern __off64_t _IO_seekpos (_IO_FILE *, __off64_t, int);
extern void _IO_free_backup_area (_IO_FILE *) __attribute__ ((__nothrow__ , __leaf__));

struct _IO_FILE;

typedef struct _IO_FILE FILE;


typedef struct _IO_FILE __FILE;
typedef __gnuc_va_list va_list;
typedef __off_t off_t;
typedef __ssize_t ssize_t;

typedef _G_fpos_t fpos_t;

extern struct _IO_FILE *stdin;
extern struct _IO_FILE *stdout;
extern struct _IO_FILE *stderr;

extern int remove (const char *__filename) __attribute__ ((__nothrow__ , __leaf__));
extern int rename (const char *__old, const char *__new) __attribute__ ((__nothrow__ , __leaf__));

extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) __attribute__ ((__nothrow__ , __leaf__));

extern FILE *tmpfile (void) ;
extern char *tmpnam (char *__s) __attribute__ ((__nothrow__ , __leaf__)) ;

extern char *tmpnam_r (char *__s) __attribute__ ((__nothrow__ , __leaf__)) ;
extern char *tempnam (const char *__dir, const char *__pfx)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) ;

extern int fclose (FILE *__stream);
extern int fflush (FILE *__stream);

extern int fflush_unlocked (FILE *__stream);

extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes) ;
extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) ;

extern FILE *fdopen (int __fd, const char *__modes) __attribute__ ((__nothrow__ , __leaf__)) ;
extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  __attribute__ ((__nothrow__ , __leaf__)) ;
extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) __attribute__ ((__nothrow__ , __leaf__)) ;

extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) __attribute__ ((__nothrow__ , __leaf__));
extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) __attribute__ ((__nothrow__ , __leaf__));

extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) __attribute__ ((__nothrow__ , __leaf__));
extern void setlinebuf (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));

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, ...) __attribute__ ((__nothrow__));
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) __attribute__ ((__nothrow__));


extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 0)));

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, ...) __attribute__ ((__nothrow__ , __leaf__));
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, ...) __asm__ ("" "__isoc99_sscanf") __attribute__ ((__nothrow__ , __leaf__));


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)
     __attribute__ ((__nothrow__ , __leaf__)) __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) __asm__ ("" "__isoc99_vsscanf") __attribute__ ((__nothrow__ , __leaf__))
     __attribute__ ((__format__ (__scanf__, 2, 0)));


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);
extern int fgetc_unlocked (FILE *__stream);

extern int fputc (int __c, FILE *__stream);
extern int putc (int __c, FILE *__stream);
extern int putchar (int __c);

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)
     ;
extern char *gets (char *__s) __attribute__ ((__deprecated__));

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);

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);

extern int fseeko (FILE *__stream, __off_t __off, int __whence);
extern __off_t ftello (FILE *__stream) ;

extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);
extern int fsetpos (FILE *__stream, const fpos_t *__pos);


extern void clearerr (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
extern int feof (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
extern int ferror (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;

extern void clearerr_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
extern int feof_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
extern int ferror_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;

extern void perror (const char *__s);

extern int sys_nerr;
extern const char *const sys_errlist[];
extern int fileno (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
extern int fileno_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
extern FILE *popen (const char *__command, const char *__modes) ;
extern int pclose (FILE *__stream);
extern char *ctermid (char *__s) __attribute__ ((__nothrow__ , __leaf__));
extern void flockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
extern int ftrylockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
extern void funlockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));

typedef int wchar_t;

typedef enum
{
  P_ALL,
  P_PID,
  P_PGID
} idtype_t;
union wait
  {
    int w_status;
    struct
      {
 unsigned int __w_termsig:7;
 unsigned int __w_coredump:1;
 unsigned int __w_retcode:8;
 unsigned int:16;
      } __wait_terminated;
    struct
      {
 unsigned int __w_stopval:8;
 unsigned int __w_stopsig:8;
 unsigned int:16;
      } __wait_stopped;
  };
typedef union
  {
    union wait *__uptr;
    int *__iptr;
  } __WAIT_STATUS __attribute__ ((__transparent_union__));

typedef struct
  {
    int quot;
    int rem;
  } div_t;
typedef struct
  {
    long int quot;
    long int rem;
  } ldiv_t;


__extension__ typedef struct
  {
    long long int quot;
    long long int rem;
  } lldiv_t;

extern size_t __ctype_get_mb_cur_max (void) __attribute__ ((__nothrow__ , __leaf__)) ;

extern double atof (const char *__nptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
extern int atoi (const char *__nptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
extern long int atol (const char *__nptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;


__extension__ extern long long int atoll (const char *__nptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;


extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));

extern char *l64a (long int __n) __attribute__ ((__nothrow__ , __leaf__)) ;
extern long int a64l (const char *__s)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;
typedef __loff_t loff_t;
typedef __ino_t ino_t;
typedef __dev_t dev_t;
typedef __gid_t gid_t;
typedef __mode_t mode_t;
typedef __nlink_t nlink_t;
typedef __uid_t uid_t;
typedef __pid_t pid_t;
typedef __id_t id_t;
typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;
typedef __key_t key_t;

typedef __clock_t clock_t;



typedef __time_t time_t;


typedef __clockid_t clockid_t;
typedef __timer_t timer_t;
typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
typedef int int8_t __attribute__ ((__mode__ (__QI__)));
typedef int int16_t __attribute__ ((__mode__ (__HI__)));
typedef int int32_t __attribute__ ((__mode__ (__SI__)));
typedef int int64_t __attribute__ ((__mode__ (__DI__)));
typedef unsigned int u_int8_t __attribute__ ((__mode__ (__QI__)));
typedef unsigned int u_int16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int u_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int u_int64_t __attribute__ ((__mode__ (__DI__)));
typedef int register_t __attribute__ ((__mode__ (__word__)));
typedef int __sig_atomic_t;
typedef struct
  {
    unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
  } __sigset_t;
typedef __sigset_t sigset_t;
struct timespec
  {
    __time_t tv_sec;
    __syscall_slong_t tv_nsec;
  };
struct timeval
  {
    __time_t tv_sec;
    __suseconds_t tv_usec;
  };
typedef __suseconds_t suseconds_t;
typedef long int __fd_mask;
typedef struct
  {
    __fd_mask __fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];
  } fd_set;
typedef __fd_mask fd_mask;

extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);


__extension__
extern unsigned int gnu_dev_major (unsigned long long int __dev)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
__extension__
extern unsigned int gnu_dev_minor (unsigned long long int __dev)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
__extension__
extern unsigned long long int gnu_dev_makedev (unsigned int __major,
            unsigned int __minor)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));

typedef __blksize_t blksize_t;
typedef __blkcnt_t blkcnt_t;
typedef __fsblkcnt_t fsblkcnt_t;
typedef __fsfilcnt_t fsfilcnt_t;
typedef unsigned long int pthread_t;
union pthread_attr_t
{
  char __size[56];
  long int __align;
};
typedef union pthread_attr_t pthread_attr_t;
typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
typedef union
{
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;
    unsigned int __nusers;
    int __kind;
    short __spins;
    short __elision;
    __pthread_list_t __list;
  } __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;
typedef union
{
  struct
  {
    int __lock;
    unsigned int __futex;
    __extension__ unsigned long long int __total_seq;
    __extension__ unsigned long long int __wakeup_seq;
    __extension__ unsigned long long int __woken_seq;
    void *__mutex;
    unsigned int __nwaiters;
    unsigned int __broadcast_seq;
  } __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;
typedef unsigned int pthread_key_t;
typedef int pthread_once_t;
typedef union
{
  struct
  {
    int __lock;
    unsigned int __nr_readers;
    unsigned int __readers_wakeup;
    unsigned int __writer_wakeup;
    unsigned int __nr_readers_queued;
    unsigned int __nr_writers_queued;
    int __writer;
    int __shared;
    unsigned long int __pad1;
    unsigned long int __pad2;
    unsigned int __flags;
  } __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;
typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;
typedef volatile int pthread_spinlock_t;
typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_barrierattr_t;

extern long int random (void) __attribute__ ((__nothrow__ , __leaf__));
extern void srandom (unsigned int __seed) __attribute__ ((__nothrow__ , __leaf__));
extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern char *setstate (char *__statebuf) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };
extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 4)));
extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));

extern int rand (void) __attribute__ ((__nothrow__ , __leaf__));
extern void srand (unsigned int __seed) __attribute__ ((__nothrow__ , __leaf__));

extern int rand_r (unsigned int *__seed) __attribute__ ((__nothrow__ , __leaf__));
extern double drand48 (void) __attribute__ ((__nothrow__ , __leaf__));
extern double erand48 (unsigned short int __xsubi[3]) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern long int lrand48 (void) __attribute__ ((__nothrow__ , __leaf__));
extern long int nrand48 (unsigned short int __xsubi[3])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern long int mrand48 (void) __attribute__ ((__nothrow__ , __leaf__));
extern long int jrand48 (unsigned short int __xsubi[3])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern void srand48 (long int __seedval) __attribute__ ((__nothrow__ , __leaf__));
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    __extension__ unsigned long long int __a;
  };
extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));

extern void *malloc (size_t __size) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) ;
extern void *calloc (size_t __nmemb, size_t __size)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) ;


extern void *realloc (void *__ptr, size_t __size)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__warn_unused_result__));
extern void free (void *__ptr) __attribute__ ((__nothrow__ , __leaf__));

extern void cfree (void *__ptr) __attribute__ ((__nothrow__ , __leaf__));

extern void *alloca (size_t __size) __attribute__ ((__nothrow__ , __leaf__));

extern void *valloc (size_t __size) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) ;
extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;

extern void abort (void) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
extern int atexit (void (*__func) (void)) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));

extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));

extern void exit (int __status) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));


extern void _Exit (int __status) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));


extern char *getenv (const char *__name) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;

extern int putenv (char *__string) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int setenv (const char *__name, const char *__value, int __replace)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern int unsetenv (const char *__name) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int clearenv (void) __attribute__ ((__nothrow__ , __leaf__));
extern char *mktemp (char *__template) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
extern char *mkdtemp (char *__template) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;

extern int system (const char *__command) ;

extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) __attribute__ ((__nothrow__ , __leaf__)) ;
typedef int (*__compar_fn_t) (const void *, const void *);

extern void *bsearch (const void *__key, const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) ;
extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));
extern int abs (int __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
extern long int labs (long int __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;

__extension__ extern long long int llabs (long long int __x)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;

extern div_t div (int __numer, int __denom)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;

extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *gcvt (double __value, int __ndigit, char *__buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3))) ;
extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3))) ;
extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));

extern int mblen (const char *__s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
extern int wctomb (char *__s, wchar_t __wchar) __attribute__ ((__nothrow__ , __leaf__));
extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__));

extern int rpmatch (const char *__response) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2, 3))) ;
extern int getloadavg (double __loadavg[], int __nelem)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern void *memmove (void *__dest, const void *__src, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));

extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));

extern void *memset (void *__s, int __c, size_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern void *memchr (const void *__s, int __c, size_t __n)
      __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int strcmp (const char *__s1, const char *__s2)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern int strcoll (const char *__s1, const char *__s2)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));

extern int strcoll_l (const char *__s1, const char *__s2, __locale_t __l)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));
extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    __locale_t __l) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 4)));
extern char *strdup (const char *__s)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
extern char *strndup (const char *__string, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));

extern char *strchr (const char *__s, int __c)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern char *strrchr (const char *__s, int __c)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern size_t strcspn (const char *__s, const char *__reject)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern size_t strspn (const char *__s, const char *__accept)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strpbrk (const char *__s, const char *__accept)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strstr (const char *__haystack, const char *__needle)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));

extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 3)));
extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 3)));

extern size_t strlen (const char *__s)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));

extern size_t strnlen (const char *__string, size_t __maxlen)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));

extern char *strerror (int __errnum) __attribute__ ((__nothrow__ , __leaf__));

extern int strerror_r (int __errnum, char *__buf, size_t __buflen) __asm__ ("" "__xpg_strerror_r") __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern char *strerror_l (int __errnum, __locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
extern void __bzero (void *__s, size_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern void bcopy (const void *__src, void *__dest, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern void bzero (void *__s, size_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *index (const char *__s, int __c)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern char *rindex (const char *__s, int __c)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern int ffs (int __i) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
extern int strcasecmp (const char *__s1, const char *__s2)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *strsignal (int __sig) __attribute__ ((__nothrow__ , __leaf__));
extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



struct timezone
  {
    int tz_minuteswest;
    int tz_dsttime;
  };
typedef struct timezone *__restrict __timezone_ptr_t;
extern int gettimeofday (struct timeval *__restrict __tv,
    __timezone_ptr_t __tz) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int settimeofday (const struct timeval *__tv,
    const struct timezone *__tz)
     __attribute__ ((__nothrow__ , __leaf__));
extern int adjtime (const struct timeval *__delta,
      struct timeval *__olddelta) __attribute__ ((__nothrow__ , __leaf__));
enum __itimer_which
  {
    ITIMER_REAL = 0,
    ITIMER_VIRTUAL = 1,
    ITIMER_PROF = 2
  };
struct itimerval
  {
    struct timeval it_interval;
    struct timeval it_value;
  };
typedef int __itimer_which_t;
extern int getitimer (__itimer_which_t __which,
        struct itimerval *__value) __attribute__ ((__nothrow__ , __leaf__));
extern int setitimer (__itimer_which_t __which,
        const struct itimerval *__restrict __new,
        struct itimerval *__restrict __old) __attribute__ ((__nothrow__ , __leaf__));
extern int utimes (const char *__file, const struct timeval __tvp[2])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int lutimes (const char *__file, const struct timeval __tvp[2])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int futimes (int __fd, const struct timeval __tvp[2]) __attribute__ ((__nothrow__ , __leaf__));

struct lastlog
  {
    int32_t ll_time;
    char ll_line[32];
    char ll_host[256];
  };
struct exit_status
  {
    short int e_termination;
    short int e_exit;
  };
struct utmp
{
  short int ut_type;
  pid_t ut_pid;
  char ut_line[32];
  char ut_id[4];
  char ut_user[32];
  char ut_host[256];
  struct exit_status ut_exit;
  int32_t ut_session;
  struct
  {
    int32_t tv_sec;
    int32_t tv_usec;
  } ut_tv;
  int32_t ut_addr_v6[4];
  char __glibc_reserved[20];
};
extern int login_tty (int __fd) __attribute__ ((__nothrow__ , __leaf__));
extern void login (const struct utmp *__entry) __attribute__ ((__nothrow__ , __leaf__));
extern int logout (const char *__ut_line) __attribute__ ((__nothrow__ , __leaf__));
extern void logwtmp (const char *__ut_line, const char *__ut_name,
       const char *__ut_host) __attribute__ ((__nothrow__ , __leaf__));
extern void updwtmp (const char *__wtmp_file, const struct utmp *__utmp)
     __attribute__ ((__nothrow__ , __leaf__));
extern int utmpname (const char *__file) __attribute__ ((__nothrow__ , __leaf__));
extern struct utmp *getutent (void) __attribute__ ((__nothrow__ , __leaf__));
extern void setutent (void) __attribute__ ((__nothrow__ , __leaf__));
extern void endutent (void) __attribute__ ((__nothrow__ , __leaf__));
extern struct utmp *getutid (const struct utmp *__id) __attribute__ ((__nothrow__ , __leaf__));
extern struct utmp *getutline (const struct utmp *__line) __attribute__ ((__nothrow__ , __leaf__));
extern struct utmp *pututline (const struct utmp *__utmp_ptr) __attribute__ ((__nothrow__ , __leaf__));
extern int getutent_r (struct utmp *__buffer, struct utmp **__result) __attribute__ ((__nothrow__ , __leaf__));
extern int getutid_r (const struct utmp *__id, struct utmp *__buffer,
        struct utmp **__result) __attribute__ ((__nothrow__ , __leaf__));
extern int getutline_r (const struct utmp *__line,
   struct utmp *__buffer, struct utmp **__result) __attribute__ ((__nothrow__ , __leaf__));

static const char *applet_name;
static signed int bb_errno_location;
static void bb_show_usage(void);
static signed int fflush_all(void);
static char * single_argv(char **argv);
static void bb_show_usage(void)
{
  ;
}
void syslog(int priority, const char *format, ...)
{
}
signed int __main(signed int argc, char **argv)
{
  char *return_value_single_argv$1;
  return_value_single_argv$1=single_argv(argv);
  char *return_value_dirname$2;
  return_value_dirname$2=dirname(return_value_single_argv$1);
  puts(return_value_dirname$2);
  signed int return_value_fflush_all$3;
  return_value_fflush_all$3=fflush_all();
  return return_value_fflush_all$3;
}
static signed int fflush_all(void)
{
  signed int return_value_fflush$1;
  return_value_fflush$1=fflush((struct _IO_FILE *)((void *)0));
  return return_value_fflush$1;
}
static char * single_argv(char **argv)
{
  signed int tmp_statement_expression$1;
  _Bool tmp_if_expr$2;
  signed int tmp_if_expr$5;
  signed int tmp_statement_expression$3;
  signed int return_value___builtin_strcmp$4;
  if(!(*(1l + argv) == ((char *)((void *)0))))
  {
    unsigned long int __s1_len;
    unsigned long int __s2_len;
    if((_Bool)1)
    {
      if(!((unsigned long int)("--" + 1l) + -((unsigned long int)"--") == 1ul))
        goto __CPROVER_DUMP_L1;
      __s2_len=strlen("--");
      tmp_if_expr$2 = (__s2_len < (unsigned long int)4 ? (signed int)(1 != 0) : (signed int)(0 != 0)) != 0;
    }
    else
    {
    __CPROVER_DUMP_L1:
      ;
      tmp_if_expr$2 = 0 != 0;
    }
    if(!(tmp_if_expr$2 == (_Bool)0))
    {
      const char *__s2 = (const char *)argv[(signed long int)1];
      signed int __result = (signed int)((const char *)"--")[(signed long int)0] - (signed int)__s2[(signed long int)0];
      if(__s2_len > 0ul)
      {
        if(__result == 0)
        {
          __result = (signed int)((const char *)"--")[(signed long int)1] - (signed int)__s2[(signed long int)1];
          if(__s2_len > 1ul)
          {
            if(__result == 0)
            {
              __result = (signed int)((const char *)"--")[(signed long int)2] - (signed int)__s2[(signed long int)2];
              if(__s2_len > 2ul)
              {
                if(__result == 0)
                  __result = (signed int)((const char *)"--")[(signed long int)3] - (signed int)__s2[(signed long int)3];
              }
            }
          }
        }
      }
      tmp_statement_expression$3 = __result;
      tmp_if_expr$5 = -tmp_statement_expression$3;
    }
    else
    {
      return_value___builtin_strcmp$4=strcmp(argv[(signed long int)1], "--");
      tmp_if_expr$5 = return_value___builtin_strcmp$4;
    }
    tmp_statement_expression$1 = tmp_if_expr$5;
    if(tmp_statement_expression$1 == 0)
      argv = argv + 1l;
  }
  _Bool tmp_if_expr$6;
  if(*(1l + argv) == ((char *)((void *)0)))
    tmp_if_expr$6 = 1 != 0;
  else
    tmp_if_expr$6 = (argv[(signed long int)2] != (char *)((void *)0) ? (signed int)(1 != 0) : (signed int)(0 != 0)) != 0;
  if(!(tmp_if_expr$6 == (_Bool)0))
    bb_show_usage();
  return argv[(signed long int)1];
}
char *dirname(char *path)
{
  static char dir[42];
  for(int i=0; i<42; ++i)
    dir[i] = __VERIFIER_nondet_char();
  dir[41] = '\0';
  return dir;
}
static struct utmp dummy_utmp;
struct utmp *getutent(void) {
  if (__VERIFIER_nondet_int())
    return (struct utmp *)((void *)0);
  dummy_utmp.ut_tv.tv_sec = __VERIFIER_nondet_int();
  dummy_utmp.ut_type = __VERIFIER_nondet_short();
  for (int i = 0; i < sizeof(dummy_utmp.ut_line); ++i)
    dummy_utmp.ut_line[i] = __VERIFIER_nondet_char();
  for (int i = 0; i < sizeof(dummy_utmp.ut_user); ++i)
    dummy_utmp.ut_user[i] = __VERIFIER_nondet_char();
  return &dummy_utmp;
}
int getopt(int argc, char * const argv[], const char *optstring)
{
  int result = -1;
  if(optind == 0)
    optind = 1;
  if(optind >= argc || argv[optind][0] != '-')
    return -1;
  size_t opt_index = __VERIFIER_nondet_ulong();
  assume_abort_if_not(opt_index < strlen(optstring) && optstring[opt_index] != ':');
  if(__VERIFIER_nondet_int())
  {
    result = optstring[opt_index];
    if(__VERIFIER_nondet_int())
      ++optind;
  }
  if(result != -1 && optind < argc && optstring[opt_index+1] == ':')
  {
    if(__VERIFIER_nondet_int())
    {
      optarg = argv[optind];
      ++optind;
    }
    else
      optarg = ((void *)0);
  }
  return result;
}
int getopt_long(int argc, char * const argv[], const char *optstring,
                const struct option *longopts, int *longindex)
{
  (void)*longopts;
  (void)longindex;
  return getopt(argc, argv, optstring);
}
ssize_t read(int fildes, void *buf, size_t nbyte)
{
  long ret=__VERIFIER_nondet_long();
  unsigned long offset=__VERIFIER_nondet_ulong();
  assume_abort_if_not(ret>=-1 && ret<=nbyte);
  assume_abort_if_not(offset<nbyte);
  *((char*)buf+offset)=__VERIFIER_nondet_char();
  return ret;
}
int vasprintf(char **ptr, const char *fmt, va_list ap)
{
  (void)*fmt;
  (void)ap;
  int result_buffer_size = __VERIFIER_nondet_int();
  if(result_buffer_size <= 0)
    return -1;
  *ptr = malloc(result_buffer_size);
  int i = 0;
  while(i<result_buffer_size)
  {
    (*ptr)[i] = __VERIFIER_nondet_char();
    if((*ptr)[i] == 0)
      break;
    ++i;
  }
  assume_abort_if_not(i<result_buffer_size);
  return i;
}
ssize_t write(int fildes, const void *buf, size_t nbyte)
{
  long ret=__VERIFIER_nondet_long();
  assume_abort_if_not(ret>=-1 && ret<=nbyte);
  return ret;
}
int main()
{
  char *a = malloc(11);
  a[10] = 0;
  for(int i=0; i<10; ++i)
    a[i]=__VERIFIER_nondet_char();
  applet_name = a;
  bb_errno_location = __VERIFIER_nondet_int();
  optind = 1;
  int argc = __VERIFIER_nondet_int();
  assume_abort_if_not(argc >= 1 && argc <= 10000);
  char **argv=malloc((argc+1)*sizeof(char*));
  char **mem_track=malloc((argc+1)*sizeof(char*));
  argv[argc]=0;
  for(int i=0; i<argc; ++i)
  {
    argv[i]=malloc(11);
    mem_track[i]=argv[i];
    argv[i][10] = 0;
    for(int j=0; j<10; ++j)
      argv[i][j]=__VERIFIER_nondet_char();
  }
  int res = __main(argc, argv);
  for(int i=0; i<argc; ++i)
    free(mem_track[i]);
  free(mem_track);
  free(argv);
  free(a);
  return res;
}