

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);
}
typedef long unsigned int size_t;





typedef __time_t time_t;



struct timespec
  {
    __time_t tv_sec;
    __syscall_slong_t tv_nsec;
  };


typedef __pid_t pid_t;





struct sched_param
  {
    int __sched_priority;
  };










struct __sched_param
  {
    int __sched_priority;
  };
typedef unsigned long int __cpu_mask;






typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;


extern int __sched_cpucount (size_t __setsize, const cpu_set_t *__setp)
  __attribute__ ((__nothrow__ , __leaf__));
extern cpu_set_t *__sched_cpualloc (size_t __count) __attribute__ ((__nothrow__ , __leaf__)) ;
extern void __sched_cpufree (cpu_set_t *__set) __attribute__ ((__nothrow__ , __leaf__));









extern int sched_setparam (__pid_t __pid, const struct sched_param *__param)
     __attribute__ ((__nothrow__ , __leaf__));


extern int sched_getparam (__pid_t __pid, struct sched_param *__param) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_setscheduler (__pid_t __pid, int __policy,
          const struct sched_param *__param) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_getscheduler (__pid_t __pid) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_yield (void) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_get_priority_max (int __algorithm) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_get_priority_min (int __algorithm) __attribute__ ((__nothrow__ , __leaf__));


extern int sched_rr_get_interval (__pid_t __pid, struct timespec *__t) __attribute__ ((__nothrow__ , __leaf__));














typedef __clock_t clock_t;



typedef __clockid_t clockid_t;
typedef __timer_t timer_t;


struct tm
{
  int tm_sec;
  int tm_min;
  int tm_hour;
  int tm_mday;
  int tm_mon;
  int tm_year;
  int tm_wday;
  int tm_yday;
  int tm_isdst;


  long int tm_gmtoff;
  const char *tm_zone;




};








struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };


struct sigevent;



extern clock_t clock (void) __attribute__ ((__nothrow__ , __leaf__));


extern time_t time (time_t *__timer) __attribute__ ((__nothrow__ , __leaf__));


extern double difftime (time_t __time1, time_t __time0)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));


extern time_t mktime (struct tm *__tp) __attribute__ ((__nothrow__ , __leaf__));





extern size_t strftime (char *__restrict __s, size_t __maxsize,
   const char *__restrict __format,
   const struct tm *__restrict __tp) __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 size_t strftime_l (char *__restrict __s, size_t __maxsize,
     const char *__restrict __format,
     const struct tm *__restrict __tp,
     __locale_t __loc) __attribute__ ((__nothrow__ , __leaf__));



extern struct tm *gmtime (const time_t *__timer) __attribute__ ((__nothrow__ , __leaf__));



extern struct tm *localtime (const time_t *__timer) __attribute__ ((__nothrow__ , __leaf__));





extern struct tm *gmtime_r (const time_t *__restrict __timer,
       struct tm *__restrict __tp) __attribute__ ((__nothrow__ , __leaf__));



extern struct tm *localtime_r (const time_t *__restrict __timer,
          struct tm *__restrict __tp) __attribute__ ((__nothrow__ , __leaf__));





extern char *asctime (const struct tm *__tp) __attribute__ ((__nothrow__ , __leaf__));


extern char *ctime (const time_t *__timer) __attribute__ ((__nothrow__ , __leaf__));







extern char *asctime_r (const struct tm *__restrict __tp,
   char *__restrict __buf) __attribute__ ((__nothrow__ , __leaf__));


extern char *ctime_r (const time_t *__restrict __timer,
        char *__restrict __buf) __attribute__ ((__nothrow__ , __leaf__));




extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;




extern char *tzname[2];



extern void tzset (void) __attribute__ ((__nothrow__ , __leaf__));



extern int daylight;
extern long int timezone;





extern int stime (const time_t *__when) __attribute__ ((__nothrow__ , __leaf__));
extern time_t timegm (struct tm *__tp) __attribute__ ((__nothrow__ , __leaf__));


extern time_t timelocal (struct tm *__tp) __attribute__ ((__nothrow__ , __leaf__));


extern int dysize (int __year) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
extern int nanosleep (const struct timespec *__requested_time,
        struct timespec *__remaining);



extern int clock_getres (clockid_t __clock_id, struct timespec *__res) __attribute__ ((__nothrow__ , __leaf__));


extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp) __attribute__ ((__nothrow__ , __leaf__));


extern int clock_settime (clockid_t __clock_id, const struct timespec *__tp)
     __attribute__ ((__nothrow__ , __leaf__));






extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       const struct timespec *__req,
       struct timespec *__rem);


extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) __attribute__ ((__nothrow__ , __leaf__));




extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) __attribute__ ((__nothrow__ , __leaf__));


extern int timer_delete (timer_t __timerid) __attribute__ ((__nothrow__ , __leaf__));


extern int timer_settime (timer_t __timerid, int __flags,
     const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) __attribute__ ((__nothrow__ , __leaf__));


extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     __attribute__ ((__nothrow__ , __leaf__));


extern int timer_getoverrun (timer_t __timerid) __attribute__ ((__nothrow__ , __leaf__));


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;




typedef long int __jmp_buf[8];



enum
{
  PTHREAD_CREATE_JOINABLE,

  PTHREAD_CREATE_DETACHED

};



enum
{
  PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_ADAPTIVE_NP

  ,
  PTHREAD_MUTEX_NORMAL = PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE = PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK = PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_DEFAULT = PTHREAD_MUTEX_NORMAL





};




enum
{
  PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_STALLED_NP = PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_ROBUST,
  PTHREAD_MUTEX_ROBUST_NP = PTHREAD_MUTEX_ROBUST
};





enum
{
  PTHREAD_PRIO_NONE,
  PTHREAD_PRIO_INHERIT,
  PTHREAD_PRIO_PROTECT
};
enum
{
  PTHREAD_RWLOCK_PREFER_READER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP,
  PTHREAD_RWLOCK_DEFAULT_NP = PTHREAD_RWLOCK_PREFER_READER_NP
};
enum
{
  PTHREAD_INHERIT_SCHED,

  PTHREAD_EXPLICIT_SCHED

};



enum
{
  PTHREAD_SCOPE_SYSTEM,

  PTHREAD_SCOPE_PROCESS

};



enum
{
  PTHREAD_PROCESS_PRIVATE,

  PTHREAD_PROCESS_SHARED

};
struct _pthread_cleanup_buffer
{
  void (*__routine) (void *);
  void *__arg;
  int __canceltype;
  struct _pthread_cleanup_buffer *__prev;
};


enum
{
  PTHREAD_CANCEL_ENABLE,

  PTHREAD_CANCEL_DISABLE

};
enum
{
  PTHREAD_CANCEL_DEFERRED,

  PTHREAD_CANCEL_ASYNCHRONOUS

};





extern int pthread_create (pthread_t *__restrict __newthread,
      const pthread_attr_t *__restrict __attr,
      void *(*__start_routine) (void *),
      void *__restrict __arg) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3)));





extern void pthread_exit (void *__retval) __attribute__ ((__noreturn__));







extern int pthread_join (pthread_t __th, void **__thread_return);
extern int pthread_detach (pthread_t __th) __attribute__ ((__nothrow__ , __leaf__));



extern pthread_t pthread_self (void) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));


extern int pthread_equal (pthread_t __thread1, pthread_t __thread2)
  __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));







extern int pthread_attr_init (pthread_attr_t *__attr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_destroy (pthread_attr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getdetachstate (const pthread_attr_t *__attr,
     int *__detachstate)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setdetachstate (pthread_attr_t *__attr,
     int __detachstate)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getguardsize (const pthread_attr_t *__attr,
          size_t *__guardsize)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setguardsize (pthread_attr_t *__attr,
          size_t __guardsize)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getschedparam (const pthread_attr_t *__restrict __attr,
           struct sched_param *__restrict __param)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedparam (pthread_attr_t *__restrict __attr,
           const struct sched_param *__restrict
           __param) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_getschedpolicy (const pthread_attr_t *__restrict
     __attr, int *__restrict __policy)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setschedpolicy (pthread_attr_t *__attr, int __policy)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getinheritsched (const pthread_attr_t *__restrict
      __attr, int *__restrict __inherit)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setinheritsched (pthread_attr_t *__attr,
      int __inherit)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getscope (const pthread_attr_t *__restrict __attr,
      int *__restrict __scope)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_attr_setscope (pthread_attr_t *__attr, int __scope)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_attr_getstackaddr (const pthread_attr_t *__restrict
          __attr, void **__restrict __stackaddr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__deprecated__));





extern int pthread_attr_setstackaddr (pthread_attr_t *__attr,
          void *__stackaddr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__deprecated__));


extern int pthread_attr_getstacksize (const pthread_attr_t *__restrict
          __attr, size_t *__restrict __stacksize)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_attr_setstacksize (pthread_attr_t *__attr,
          size_t __stacksize)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_attr_getstack (const pthread_attr_t *__restrict __attr,
      void **__restrict __stackaddr,
      size_t *__restrict __stacksize)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2, 3)));




extern int pthread_attr_setstack (pthread_attr_t *__attr, void *__stackaddr,
      size_t __stacksize) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int pthread_setschedparam (pthread_t __target_thread, int __policy,
      const struct sched_param *__param)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3)));


extern int pthread_getschedparam (pthread_t __target_thread,
      int *__restrict __policy,
      struct sched_param *__restrict __param)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 3)));


extern int pthread_setschedprio (pthread_t __target_thread, int __prio)
     __attribute__ ((__nothrow__ , __leaf__));
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_setcancelstate (int __state, int *__oldstate);



extern int pthread_setcanceltype (int __type, int *__oldtype);


extern int pthread_cancel (pthread_t __th);




extern void pthread_testcancel (void);




typedef struct
{
  struct
  {
    __jmp_buf __cancel_jmp_buf;
    int __mask_was_saved;
  } __cancel_jmp_buf[1];
  void *__pad[4];
} __pthread_unwind_buf_t __attribute__ ((__aligned__));
struct __pthread_cleanup_frame
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
};
extern void __pthread_register_cancel (__pthread_unwind_buf_t *__buf)
     ;
extern void __pthread_unregister_cancel (__pthread_unwind_buf_t *__buf)
  ;
extern void __pthread_unwind_next (__pthread_unwind_buf_t *__buf)
     __attribute__ ((__noreturn__))

     __attribute__ ((__weak__))

     ;



struct __jmp_buf_tag;
extern int __sigsetjmp (struct __jmp_buf_tag *__env, int __savemask) __attribute__ ((__nothrow__));





extern int pthread_mutex_init (pthread_mutex_t *__mutex,
          const pthread_mutexattr_t *__mutexattr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_destroy (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_trylock (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_lock (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutex_timedlock (pthread_mutex_t *__restrict __mutex,
        const struct timespec *__restrict
        __abstime) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutex_unlock (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutex_getprioceiling (const pthread_mutex_t *
      __restrict __mutex,
      int *__restrict __prioceiling)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutex_setprioceiling (pthread_mutex_t *__restrict __mutex,
      int __prioceiling,
      int *__restrict __old_ceiling)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 3)));




extern int pthread_mutex_consistent (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_init (pthread_mutexattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_destroy (pthread_mutexattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getpshared (const pthread_mutexattr_t *
      __restrict __attr,
      int *__restrict __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setpshared (pthread_mutexattr_t *__attr,
      int __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_gettype (const pthread_mutexattr_t *__restrict
          __attr, int *__restrict __kind)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));




extern int pthread_mutexattr_settype (pthread_mutexattr_t *__attr, int __kind)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getprotocol (const pthread_mutexattr_t *
       __restrict __attr,
       int *__restrict __protocol)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutexattr_setprotocol (pthread_mutexattr_t *__attr,
       int __protocol)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutexattr_getprioceiling (const pthread_mutexattr_t *
          __restrict __attr,
          int *__restrict __prioceiling)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_mutexattr_setprioceiling (pthread_mutexattr_t *__attr,
          int __prioceiling)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_mutexattr_getrobust (const pthread_mutexattr_t *__attr,
     int *__robustness)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));







extern int pthread_mutexattr_setrobust (pthread_mutexattr_t *__attr,
     int __robustness)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_init (pthread_rwlock_t *__restrict __rwlock,
    const pthread_rwlockattr_t *__restrict
    __attr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_destroy (pthread_rwlock_t *__rwlock)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_rdlock (pthread_rwlock_t *__rwlock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_tryrdlock (pthread_rwlock_t *__rwlock)
  __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_rwlock_timedrdlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_rwlock_wrlock (pthread_rwlock_t *__rwlock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlock_trywrlock (pthread_rwlock_t *__rwlock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_rwlock_timedwrlock (pthread_rwlock_t *__restrict __rwlock,
           const struct timespec *__restrict
           __abstime) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_rwlock_unlock (pthread_rwlock_t *__rwlock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));





extern int pthread_rwlockattr_init (pthread_rwlockattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_destroy (pthread_rwlockattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getpshared (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setpshared (pthread_rwlockattr_t *__attr,
       int __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_rwlockattr_getkind_np (const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pref)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_rwlockattr_setkind_np (pthread_rwlockattr_t *__attr,
       int __pref) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));







extern int pthread_cond_init (pthread_cond_t *__restrict __cond,
         const pthread_condattr_t *__restrict __cond_attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_destroy (pthread_cond_t *__cond)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_signal (pthread_cond_t *__cond)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_cond_broadcast (pthread_cond_t *__cond)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));






extern int pthread_cond_wait (pthread_cond_t *__restrict __cond,
         pthread_mutex_t *__restrict __mutex)
     __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_cond_timedwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       const struct timespec *__restrict __abstime)
     __attribute__ ((__nonnull__ (1, 2, 3)));




extern int pthread_condattr_init (pthread_condattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_destroy (pthread_condattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_condattr_getpshared (const pthread_condattr_t *
     __restrict __attr,
     int *__restrict __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setpshared (pthread_condattr_t *__attr,
     int __pshared) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_condattr_getclock (const pthread_condattr_t *
          __restrict __attr,
          __clockid_t *__restrict __clock_id)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_condattr_setclock (pthread_condattr_t *__attr,
          __clockid_t __clock_id)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_init (pthread_spinlock_t *__lock, int __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_destroy (pthread_spinlock_t *__lock)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_lock (pthread_spinlock_t *__lock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_trylock (pthread_spinlock_t *__lock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_spin_unlock (pthread_spinlock_t *__lock)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));






extern int pthread_barrier_init (pthread_barrier_t *__restrict __barrier,
     const pthread_barrierattr_t *__restrict
     __attr, unsigned int __count)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_destroy (pthread_barrier_t *__barrier)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrier_wait (pthread_barrier_t *__barrier)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));



extern int pthread_barrierattr_init (pthread_barrierattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_destroy (pthread_barrierattr_t *__attr)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_barrierattr_getpshared (const pthread_barrierattr_t *
        __restrict __attr,
        int *__restrict __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));


extern int pthread_barrierattr_setpshared (pthread_barrierattr_t *__attr,
        int __pshared)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int pthread_key_create (pthread_key_t *__key,
          void (*__destr_function) (void *))
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_key_delete (pthread_key_t __key) __attribute__ ((__nothrow__ , __leaf__));


extern void *pthread_getspecific (pthread_key_t __key) __attribute__ ((__nothrow__ , __leaf__));


extern int pthread_setspecific (pthread_key_t __key,
    const void *__pointer) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int pthread_getcpuclockid (pthread_t __thread_id,
      __clockid_t *__clock_id)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) __attribute__ ((__nothrow__ , __leaf__));





struct _IO_FILE;



typedef struct _IO_FILE FILE;





typedef struct _IO_FILE __FILE;




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__));




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 __id_t id_t;
typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_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 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;







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)));







typedef __useconds_t useconds_t;
typedef __intptr_t intptr_t;






typedef __socklen_t socklen_t;
extern int access (const char *__name, int __type) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern int faccessat (int __fd, const char *__file, int __type, int __flag)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2))) ;
extern __off_t lseek (int __fd, __off_t __offset, int __whence) __attribute__ ((__nothrow__ , __leaf__));
extern int close (int __fd);






extern ssize_t read (int __fd, void *__buf, size_t __nbytes) ;





extern ssize_t write (int __fd, const void *__buf, size_t __n) ;
extern ssize_t pread (int __fd, void *__buf, size_t __nbytes,
        __off_t __offset) ;






extern ssize_t pwrite (int __fd, const void *__buf, size_t __n,
         __off_t __offset) ;
extern int pipe (int __pipedes[2]) __attribute__ ((__nothrow__ , __leaf__)) ;
extern unsigned int alarm (unsigned int __seconds) __attribute__ ((__nothrow__ , __leaf__));
extern unsigned int sleep (unsigned int __seconds);







extern __useconds_t ualarm (__useconds_t __value, __useconds_t __interval)
     __attribute__ ((__nothrow__ , __leaf__));






extern int usleep (__useconds_t __useconds);
extern int pause (void);



extern int chown (const char *__file, __uid_t __owner, __gid_t __group)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;



extern int fchown (int __fd, __uid_t __owner, __gid_t __group) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int lchown (const char *__file, __uid_t __owner, __gid_t __group)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;






extern int fchownat (int __fd, const char *__file, __uid_t __owner,
       __gid_t __group, int __flag)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2))) ;



extern int chdir (const char *__path) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;



extern int fchdir (int __fd) __attribute__ ((__nothrow__ , __leaf__)) ;
extern char *getcwd (char *__buf, size_t __size) __attribute__ ((__nothrow__ , __leaf__)) ;
extern char *getwd (char *__buf)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__deprecated__)) ;




extern int dup (int __fd) __attribute__ ((__nothrow__ , __leaf__)) ;


extern int dup2 (int __fd, int __fd2) __attribute__ ((__nothrow__ , __leaf__));
extern char **__environ;







extern int execve (const char *__path, char *const __argv[],
     char *const __envp[]) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));




extern int fexecve (int __fd, char *const __argv[], char *const __envp[])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));




extern int execv (const char *__path, char *const __argv[])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



extern int execle (const char *__path, const char *__arg, ...)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



extern int execl (const char *__path, const char *__arg, ...)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));



extern int execvp (const char *__file, char *const __argv[])
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));




extern int execlp (const char *__file, const char *__arg, ...)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
extern int nice (int __inc) __attribute__ ((__nothrow__ , __leaf__)) ;




extern void _exit (int __status) __attribute__ ((__noreturn__));





enum
  {
    _PC_LINK_MAX,

    _PC_MAX_CANON,

    _PC_MAX_INPUT,

    _PC_NAME_MAX,

    _PC_PATH_MAX,

    _PC_PIPE_BUF,

    _PC_CHOWN_RESTRICTED,

    _PC_NO_TRUNC,

    _PC_VDISABLE,

    _PC_SYNC_IO,

    _PC_ASYNC_IO,

    _PC_PRIO_IO,

    _PC_SOCK_MAXBUF,

    _PC_FILESIZEBITS,

    _PC_REC_INCR_XFER_SIZE,

    _PC_REC_MAX_XFER_SIZE,

    _PC_REC_MIN_XFER_SIZE,

    _PC_REC_XFER_ALIGN,

    _PC_ALLOC_SIZE_MIN,

    _PC_SYMLINK_MAX,

    _PC_2_SYMLINKS

  };


enum
  {
    _SC_ARG_MAX,

    _SC_CHILD_MAX,

    _SC_CLK_TCK,

    _SC_NGROUPS_MAX,

    _SC_OPEN_MAX,

    _SC_STREAM_MAX,

    _SC_TZNAME_MAX,

    _SC_JOB_CONTROL,

    _SC_SAVED_IDS,

    _SC_REALTIME_SIGNALS,

    _SC_PRIORITY_SCHEDULING,

    _SC_TIMERS,

    _SC_ASYNCHRONOUS_IO,

    _SC_PRIORITIZED_IO,

    _SC_SYNCHRONIZED_IO,

    _SC_FSYNC,

    _SC_MAPPED_FILES,

    _SC_MEMLOCK,

    _SC_MEMLOCK_RANGE,

    _SC_MEMORY_PROTECTION,

    _SC_MESSAGE_PASSING,

    _SC_SEMAPHORES,

    _SC_SHARED_MEMORY_OBJECTS,

    _SC_AIO_LISTIO_MAX,

    _SC_AIO_MAX,

    _SC_AIO_PRIO_DELTA_MAX,

    _SC_DELAYTIMER_MAX,

    _SC_MQ_OPEN_MAX,

    _SC_MQ_PRIO_MAX,

    _SC_VERSION,

    _SC_PAGESIZE,


    _SC_RTSIG_MAX,

    _SC_SEM_NSEMS_MAX,

    _SC_SEM_VALUE_MAX,

    _SC_SIGQUEUE_MAX,

    _SC_TIMER_MAX,




    _SC_BC_BASE_MAX,

    _SC_BC_DIM_MAX,

    _SC_BC_SCALE_MAX,

    _SC_BC_STRING_MAX,

    _SC_COLL_WEIGHTS_MAX,

    _SC_EQUIV_CLASS_MAX,

    _SC_EXPR_NEST_MAX,

    _SC_LINE_MAX,

    _SC_RE_DUP_MAX,

    _SC_CHARCLASS_NAME_MAX,


    _SC_2_VERSION,

    _SC_2_C_BIND,

    _SC_2_C_DEV,

    _SC_2_FORT_DEV,

    _SC_2_FORT_RUN,

    _SC_2_SW_DEV,

    _SC_2_LOCALEDEF,


    _SC_PII,

    _SC_PII_XTI,

    _SC_PII_SOCKET,

    _SC_PII_INTERNET,

    _SC_PII_OSI,

    _SC_POLL,

    _SC_SELECT,

    _SC_UIO_MAXIOV,

    _SC_IOV_MAX = _SC_UIO_MAXIOV,

    _SC_PII_INTERNET_STREAM,

    _SC_PII_INTERNET_DGRAM,

    _SC_PII_OSI_COTS,

    _SC_PII_OSI_CLTS,

    _SC_PII_OSI_M,

    _SC_T_IOV_MAX,



    _SC_THREADS,

    _SC_THREAD_SAFE_FUNCTIONS,

    _SC_GETGR_R_SIZE_MAX,

    _SC_GETPW_R_SIZE_MAX,

    _SC_LOGIN_NAME_MAX,

    _SC_TTY_NAME_MAX,

    _SC_THREAD_DESTRUCTOR_ITERATIONS,

    _SC_THREAD_KEYS_MAX,

    _SC_THREAD_STACK_MIN,

    _SC_THREAD_THREADS_MAX,

    _SC_THREAD_ATTR_STACKADDR,

    _SC_THREAD_ATTR_STACKSIZE,

    _SC_THREAD_PRIORITY_SCHEDULING,

    _SC_THREAD_PRIO_INHERIT,

    _SC_THREAD_PRIO_PROTECT,

    _SC_THREAD_PROCESS_SHARED,


    _SC_NPROCESSORS_CONF,

    _SC_NPROCESSORS_ONLN,

    _SC_PHYS_PAGES,

    _SC_AVPHYS_PAGES,

    _SC_ATEXIT_MAX,

    _SC_PASS_MAX,


    _SC_XOPEN_VERSION,

    _SC_XOPEN_XCU_VERSION,

    _SC_XOPEN_UNIX,

    _SC_XOPEN_CRYPT,

    _SC_XOPEN_ENH_I18N,

    _SC_XOPEN_SHM,


    _SC_2_CHAR_TERM,

    _SC_2_C_VERSION,

    _SC_2_UPE,


    _SC_XOPEN_XPG2,

    _SC_XOPEN_XPG3,

    _SC_XOPEN_XPG4,


    _SC_CHAR_BIT,

    _SC_CHAR_MAX,

    _SC_CHAR_MIN,

    _SC_INT_MAX,

    _SC_INT_MIN,

    _SC_LONG_BIT,

    _SC_WORD_BIT,

    _SC_MB_LEN_MAX,

    _SC_NZERO,

    _SC_SSIZE_MAX,

    _SC_SCHAR_MAX,

    _SC_SCHAR_MIN,

    _SC_SHRT_MAX,

    _SC_SHRT_MIN,

    _SC_UCHAR_MAX,

    _SC_UINT_MAX,

    _SC_ULONG_MAX,

    _SC_USHRT_MAX,


    _SC_NL_ARGMAX,

    _SC_NL_LANGMAX,

    _SC_NL_MSGMAX,

    _SC_NL_NMAX,

    _SC_NL_SETMAX,

    _SC_NL_TEXTMAX,


    _SC_XBS5_ILP32_OFF32,

    _SC_XBS5_ILP32_OFFBIG,

    _SC_XBS5_LP64_OFF64,

    _SC_XBS5_LPBIG_OFFBIG,


    _SC_XOPEN_LEGACY,

    _SC_XOPEN_REALTIME,

    _SC_XOPEN_REALTIME_THREADS,


    _SC_ADVISORY_INFO,

    _SC_BARRIERS,

    _SC_BASE,

    _SC_C_LANG_SUPPORT,

    _SC_C_LANG_SUPPORT_R,

    _SC_CLOCK_SELECTION,

    _SC_CPUTIME,

    _SC_THREAD_CPUTIME,

    _SC_DEVICE_IO,

    _SC_DEVICE_SPECIFIC,

    _SC_DEVICE_SPECIFIC_R,

    _SC_FD_MGMT,

    _SC_FIFO,

    _SC_PIPE,

    _SC_FILE_ATTRIBUTES,

    _SC_FILE_LOCKING,

    _SC_FILE_SYSTEM,

    _SC_MONOTONIC_CLOCK,

    _SC_MULTI_PROCESS,

    _SC_SINGLE_PROCESS,

    _SC_NETWORKING,

    _SC_READER_WRITER_LOCKS,

    _SC_SPIN_LOCKS,

    _SC_REGEXP,

    _SC_REGEX_VERSION,

    _SC_SHELL,

    _SC_SIGNALS,

    _SC_SPAWN,

    _SC_SPORADIC_SERVER,

    _SC_THREAD_SPORADIC_SERVER,

    _SC_SYSTEM_DATABASE,

    _SC_SYSTEM_DATABASE_R,

    _SC_TIMEOUTS,

    _SC_TYPED_MEMORY_OBJECTS,

    _SC_USER_GROUPS,

    _SC_USER_GROUPS_R,

    _SC_2_PBS,

    _SC_2_PBS_ACCOUNTING,

    _SC_2_PBS_LOCATE,

    _SC_2_PBS_MESSAGE,

    _SC_2_PBS_TRACK,

    _SC_SYMLOOP_MAX,

    _SC_STREAMS,

    _SC_2_PBS_CHECKPOINT,


    _SC_V6_ILP32_OFF32,

    _SC_V6_ILP32_OFFBIG,

    _SC_V6_LP64_OFF64,

    _SC_V6_LPBIG_OFFBIG,


    _SC_HOST_NAME_MAX,

    _SC_TRACE,

    _SC_TRACE_EVENT_FILTER,

    _SC_TRACE_INHERIT,

    _SC_TRACE_LOG,


    _SC_LEVEL1_ICACHE_SIZE,

    _SC_LEVEL1_ICACHE_ASSOC,

    _SC_LEVEL1_ICACHE_LINESIZE,

    _SC_LEVEL1_DCACHE_SIZE,

    _SC_LEVEL1_DCACHE_ASSOC,

    _SC_LEVEL1_DCACHE_LINESIZE,

    _SC_LEVEL2_CACHE_SIZE,

    _SC_LEVEL2_CACHE_ASSOC,

    _SC_LEVEL2_CACHE_LINESIZE,

    _SC_LEVEL3_CACHE_SIZE,

    _SC_LEVEL3_CACHE_ASSOC,

    _SC_LEVEL3_CACHE_LINESIZE,

    _SC_LEVEL4_CACHE_SIZE,

    _SC_LEVEL4_CACHE_ASSOC,

    _SC_LEVEL4_CACHE_LINESIZE,



    _SC_IPV6 = _SC_LEVEL1_ICACHE_SIZE + 50,

    _SC_RAW_SOCKETS,


    _SC_V7_ILP32_OFF32,

    _SC_V7_ILP32_OFFBIG,

    _SC_V7_LP64_OFF64,

    _SC_V7_LPBIG_OFFBIG,


    _SC_SS_REPL_MAX,


    _SC_TRACE_EVENT_NAME_MAX,

    _SC_TRACE_NAME_MAX,

    _SC_TRACE_SYS_MAX,

    _SC_TRACE_USER_EVENT_MAX,


    _SC_XOPEN_STREAMS,


    _SC_THREAD_ROBUST_PRIO_INHERIT,

    _SC_THREAD_ROBUST_PRIO_PROTECT

  };


enum
  {
    _CS_PATH,


    _CS_V6_WIDTH_RESTRICTED_ENVS,



    _CS_GNU_LIBC_VERSION,

    _CS_GNU_LIBPTHREAD_VERSION,


    _CS_V5_WIDTH_RESTRICTED_ENVS,



    _CS_V7_WIDTH_RESTRICTED_ENVS,



    _CS_LFS_CFLAGS = 1000,

    _CS_LFS_LDFLAGS,

    _CS_LFS_LIBS,

    _CS_LFS_LINTFLAGS,

    _CS_LFS64_CFLAGS,

    _CS_LFS64_LDFLAGS,

    _CS_LFS64_LIBS,

    _CS_LFS64_LINTFLAGS,


    _CS_XBS5_ILP32_OFF32_CFLAGS = 1100,

    _CS_XBS5_ILP32_OFF32_LDFLAGS,

    _CS_XBS5_ILP32_OFF32_LIBS,

    _CS_XBS5_ILP32_OFF32_LINTFLAGS,

    _CS_XBS5_ILP32_OFFBIG_CFLAGS,

    _CS_XBS5_ILP32_OFFBIG_LDFLAGS,

    _CS_XBS5_ILP32_OFFBIG_LIBS,

    _CS_XBS5_ILP32_OFFBIG_LINTFLAGS,

    _CS_XBS5_LP64_OFF64_CFLAGS,

    _CS_XBS5_LP64_OFF64_LDFLAGS,

    _CS_XBS5_LP64_OFF64_LIBS,

    _CS_XBS5_LP64_OFF64_LINTFLAGS,

    _CS_XBS5_LPBIG_OFFBIG_CFLAGS,

    _CS_XBS5_LPBIG_OFFBIG_LDFLAGS,

    _CS_XBS5_LPBIG_OFFBIG_LIBS,

    _CS_XBS5_LPBIG_OFFBIG_LINTFLAGS,


    _CS_POSIX_V6_ILP32_OFF32_CFLAGS,

    _CS_POSIX_V6_ILP32_OFF32_LDFLAGS,

    _CS_POSIX_V6_ILP32_OFF32_LIBS,

    _CS_POSIX_V6_ILP32_OFF32_LINTFLAGS,

    _CS_POSIX_V6_ILP32_OFFBIG_CFLAGS,

    _CS_POSIX_V6_ILP32_OFFBIG_LDFLAGS,

    _CS_POSIX_V6_ILP32_OFFBIG_LIBS,

    _CS_POSIX_V6_ILP32_OFFBIG_LINTFLAGS,

    _CS_POSIX_V6_LP64_OFF64_CFLAGS,

    _CS_POSIX_V6_LP64_OFF64_LDFLAGS,

    _CS_POSIX_V6_LP64_OFF64_LIBS,

    _CS_POSIX_V6_LP64_OFF64_LINTFLAGS,

    _CS_POSIX_V6_LPBIG_OFFBIG_CFLAGS,

    _CS_POSIX_V6_LPBIG_OFFBIG_LDFLAGS,

    _CS_POSIX_V6_LPBIG_OFFBIG_LIBS,

    _CS_POSIX_V6_LPBIG_OFFBIG_LINTFLAGS,


    _CS_POSIX_V7_ILP32_OFF32_CFLAGS,

    _CS_POSIX_V7_ILP32_OFF32_LDFLAGS,

    _CS_POSIX_V7_ILP32_OFF32_LIBS,

    _CS_POSIX_V7_ILP32_OFF32_LINTFLAGS,

    _CS_POSIX_V7_ILP32_OFFBIG_CFLAGS,

    _CS_POSIX_V7_ILP32_OFFBIG_LDFLAGS,

    _CS_POSIX_V7_ILP32_OFFBIG_LIBS,

    _CS_POSIX_V7_ILP32_OFFBIG_LINTFLAGS,

    _CS_POSIX_V7_LP64_OFF64_CFLAGS,

    _CS_POSIX_V7_LP64_OFF64_LDFLAGS,

    _CS_POSIX_V7_LP64_OFF64_LIBS,

    _CS_POSIX_V7_LP64_OFF64_LINTFLAGS,

    _CS_POSIX_V7_LPBIG_OFFBIG_CFLAGS,

    _CS_POSIX_V7_LPBIG_OFFBIG_LDFLAGS,

    _CS_POSIX_V7_LPBIG_OFFBIG_LIBS,

    _CS_POSIX_V7_LPBIG_OFFBIG_LINTFLAGS,


    _CS_V6_ENV,

    _CS_V7_ENV

  };


extern long int pathconf (const char *__path, int __name)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));


extern long int fpathconf (int __fd, int __name) __attribute__ ((__nothrow__ , __leaf__));


extern long int sysconf (int __name) __attribute__ ((__nothrow__ , __leaf__));



extern size_t confstr (int __name, char *__buf, size_t __len) __attribute__ ((__nothrow__ , __leaf__));




extern __pid_t getpid (void) __attribute__ ((__nothrow__ , __leaf__));


extern __pid_t getppid (void) __attribute__ ((__nothrow__ , __leaf__));


extern __pid_t getpgrp (void) __attribute__ ((__nothrow__ , __leaf__));


extern __pid_t __getpgid (__pid_t __pid) __attribute__ ((__nothrow__ , __leaf__));

extern __pid_t getpgid (__pid_t __pid) __attribute__ ((__nothrow__ , __leaf__));






extern int setpgid (__pid_t __pid, __pid_t __pgid) __attribute__ ((__nothrow__ , __leaf__));
extern int setpgrp (void) __attribute__ ((__nothrow__ , __leaf__));






extern __pid_t setsid (void) __attribute__ ((__nothrow__ , __leaf__));



extern __pid_t getsid (__pid_t __pid) __attribute__ ((__nothrow__ , __leaf__));



extern __uid_t getuid (void) __attribute__ ((__nothrow__ , __leaf__));


extern __uid_t geteuid (void) __attribute__ ((__nothrow__ , __leaf__));


extern __gid_t getgid (void) __attribute__ ((__nothrow__ , __leaf__));


extern __gid_t getegid (void) __attribute__ ((__nothrow__ , __leaf__));




extern int getgroups (int __size, __gid_t __list[]) __attribute__ ((__nothrow__ , __leaf__)) ;
extern int setuid (__uid_t __uid) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int setreuid (__uid_t __ruid, __uid_t __euid) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int seteuid (__uid_t __uid) __attribute__ ((__nothrow__ , __leaf__)) ;






extern int setgid (__gid_t __gid) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int setregid (__gid_t __rgid, __gid_t __egid) __attribute__ ((__nothrow__ , __leaf__)) ;




extern int setegid (__gid_t __gid) __attribute__ ((__nothrow__ , __leaf__)) ;
extern __pid_t fork (void) __attribute__ ((__nothrow__));







extern __pid_t vfork (void) __attribute__ ((__nothrow__ , __leaf__));





extern char *ttyname (int __fd) __attribute__ ((__nothrow__ , __leaf__));



extern int ttyname_r (int __fd, char *__buf, size_t __buflen)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2))) ;



extern int isatty (int __fd) __attribute__ ((__nothrow__ , __leaf__));





extern int ttyslot (void) __attribute__ ((__nothrow__ , __leaf__));




extern int link (const char *__from, const char *__to)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2))) ;




extern int linkat (int __fromfd, const char *__from, int __tofd,
     const char *__to, int __flags)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 4))) ;




extern int symlink (const char *__from, const char *__to)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2))) ;




extern ssize_t readlink (const char *__restrict __path,
    char *__restrict __buf, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2))) ;




extern int symlinkat (const char *__from, int __tofd,
        const char *__to) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 3))) ;


extern ssize_t readlinkat (int __fd, const char *__restrict __path,
      char *__restrict __buf, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 3))) ;



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



extern int unlinkat (int __fd, const char *__name, int __flag)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));



extern int rmdir (const char *__path) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));



extern __pid_t tcgetpgrp (int __fd) __attribute__ ((__nothrow__ , __leaf__));


extern int tcsetpgrp (int __fd, __pid_t __pgrp_id) __attribute__ ((__nothrow__ , __leaf__));






extern char *getlogin (void);







extern int getlogin_r (char *__name, size_t __name_len) __attribute__ ((__nonnull__ (1)));




extern int setlogin (const char *__name) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
extern char *optarg;
extern int optind;




extern int opterr;



extern int optopt;
extern int getopt (int ___argc, char *const *___argv, const char *__shortopts)
       __attribute__ ((__nothrow__ , __leaf__));







extern int gethostname (char *__name, size_t __len) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));






extern int sethostname (const char *__name, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;



extern int sethostid (long int __id) __attribute__ ((__nothrow__ , __leaf__)) ;





extern int getdomainname (char *__name, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
extern int setdomainname (const char *__name, size_t __len)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;





extern int vhangup (void) __attribute__ ((__nothrow__ , __leaf__));


extern int revoke (const char *__file) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;







extern int profil (unsigned short int *__sample_buffer, size_t __size,
     size_t __offset, unsigned int __scale)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));





extern int acct (const char *__name) __attribute__ ((__nothrow__ , __leaf__));



extern char *getusershell (void) __attribute__ ((__nothrow__ , __leaf__));
extern void endusershell (void) __attribute__ ((__nothrow__ , __leaf__));
extern void setusershell (void) __attribute__ ((__nothrow__ , __leaf__));





extern int daemon (int __nochdir, int __noclose) __attribute__ ((__nothrow__ , __leaf__)) ;






extern int chroot (const char *__path) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;



extern char *getpass (const char *__prompt) __attribute__ ((__nonnull__ (1)));







extern int fsync (int __fd);
extern long int gethostid (void);


extern void sync (void) __attribute__ ((__nothrow__ , __leaf__));





extern int getpagesize (void) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));




extern int getdtablesize (void) __attribute__ ((__nothrow__ , __leaf__));
extern int truncate (const char *__file, __off_t __length)
     __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
extern int ftruncate (int __fd, __off_t __length) __attribute__ ((__nothrow__ , __leaf__)) ;
extern int brk (void *__addr) __attribute__ ((__nothrow__ , __leaf__)) ;





extern void *sbrk (intptr_t __delta) __attribute__ ((__nothrow__ , __leaf__));
extern long int syscall (long int __sysno, ...) __attribute__ ((__nothrow__ , __leaf__));
extern int lockf (int __fd, int __cmd, __off_t __len) ;
extern int fdatasync (int __fildes);








extern void __VERIFIER_error() __attribute__ ((__noreturn__));
int __VERIFIER_nondet_int(void);
void ldv_assert(int expression) { if (!expression) { ERROR: __VERIFIER_error();}; return; }

pthread_t t1,t2;

struct device {

};

struct A {
 int a;
 int b;
};

struct my_data {
 pthread_mutex_t lock;
 struct device dev;
 struct A shared;
};

void *my_callback(void *arg) {
 struct device *dev = (struct device*)arg;
 struct my_data *data;
 data = ({ const typeof( ((struct my_data *)0)->dev ) *__mptr = (dev); (struct my_data *)( (char *)__mptr - ((unsigned long) &((struct my_data *)0)->dev) );});



 data->shared.a = 1;
 data->shared.b = data->shared.b + 1;

}

int my_drv_probe(struct my_data *data) {
 struct device *d = &data->dev;



 pthread_mutex_init(&data->lock, ((void *)0));
 data->shared.a = 0;
 data->shared.b = 0;

 int res = __VERIFIER_nondet_int();
 if(res)
  goto exit;

 pthread_create(&t1, ((void *)0), my_callback, (void *)d);
 pthread_create(&t2, ((void *)0), my_callback, (void *)d);
 return 0;

exit:
 pthread_mutex_destroy(&data->lock);
 return -1;
}

void my_drv_disconnect(struct my_data *data) {
 void *status;
 pthread_join(t1, &status);
 pthread_join(t2, &status);
 pthread_mutex_destroy(&data->lock);
}

int my_drv_init(void) {
 return 0;
}

void my_drv_cleanup(void) {
 return;
}

int main(void) {
 int ret = my_drv_init();
 if(ret==0) {
  int probe_ret;
  struct my_data data;
  probe_ret = my_drv_probe(&data);
  if(probe_ret==0) {
   my_drv_disconnect(&data);
   ldv_assert(data.shared.a==1);
   ldv_assert(data.shared.b==2);
  }
  my_drv_cleanup();
  data.shared.a = -1;
  data.shared.b = -1;
  ldv_assert(data.shared.a==-1);
  ldv_assert(data.shared.b==-1);
 }
 return 0;
}
