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[ICEs.git] / 318007 / buf0buf.i.0

# 1 "buf/buf0buf.c"
# 1 "<built-in>"
# 1 "<command-line>"
# 1 "buf/buf0buf.c"
# 23 "buf/buf0buf.c"
# 1 "./include/buf0buf.h" 1
# 26 "./include/buf0buf.h"
# 1 "./include/univ.i" 1
# 33 "./include/univ.i"
# 1 "./../include/my_global.h" 1
# 83 "./../include/my_global.h"
# 1 "./../include/my_config.h" 1
# 84 "./../include/my_global.h" 2
# 241 "./../include/my_global.h"
# 1 "/usr/include/pthread.h" 1 3 4
# 23 "/usr/include/pthread.h" 3 4
# 1 "/usr/include/features.h" 1 3 4
# 347 "/usr/include/features.h" 3 4
# 1 "/usr/include/sys/cdefs.h" 1 3 4
# 353 "/usr/include/sys/cdefs.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 354 "/usr/include/sys/cdefs.h" 2 3 4
# 348 "/usr/include/features.h" 2 3 4
# 371 "/usr/include/features.h" 3 4
# 1 "/usr/include/gnu/stubs.h" 1 3 4



# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 5 "/usr/include/gnu/stubs.h" 2 3 4




# 1 "/usr/include/gnu/stubs-64.h" 1 3 4
# 10 "/usr/include/gnu/stubs.h" 2 3 4
# 372 "/usr/include/features.h" 2 3 4
# 24 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 37 "/usr/include/endian.h" 3 4
# 1 "/usr/include/bits/endian.h" 1 3 4
# 38 "/usr/include/endian.h" 2 3 4
# 61 "/usr/include/endian.h" 3 4
# 1 "/usr/include/bits/byteswap.h" 1 3 4
# 62 "/usr/include/endian.h" 2 3 4
# 25 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/sched.h" 1 3 4
# 26 "/usr/include/sched.h" 3 4
# 1 "/usr/include/bits/types.h" 1 3 4
# 28 "/usr/include/bits/types.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 29 "/usr/include/bits/types.h" 2 3 4


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


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

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







typedef long int __quad_t;
typedef unsigned long int __u_quad_t;
# 131 "/usr/include/bits/types.h" 3 4
# 1 "/usr/include/bits/typesizes.h" 1 3 4
# 132 "/usr/include/bits/types.h" 2 3 4


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

typedef int __daddr_t;
typedef long int __swblk_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 __ssize_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;
# 27 "/usr/include/sched.h" 2 3 4


# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 214 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 30 "/usr/include/sched.h" 2 3 4


# 1 "/usr/include/time.h" 1 3 4
# 120 "/usr/include/time.h" 3 4
struct timespec
  {
    __time_t tv_sec;
    long int tv_nsec;
  };
# 33 "/usr/include/sched.h" 2 3 4


# 1 "/usr/include/bits/sched.h" 1 3 4
# 71 "/usr/include/bits/sched.h" 3 4
struct sched_param
  {
    int __sched_priority;
  };





extern int clone (int (*__fn) (void *__arg), void *__child_stack,
    int __flags, void *__arg, ...) __attribute__ ((__nothrow__));


extern int unshare (int __flags) __attribute__ ((__nothrow__));


extern int sched_getcpu (void) __attribute__ ((__nothrow__));










struct __sched_param
  {
    int __sched_priority;
  };
# 113 "/usr/include/bits/sched.h" 3 4
typedef unsigned long int __cpu_mask;






typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;
# 196 "/usr/include/bits/sched.h" 3 4


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


# 36 "/usr/include/sched.h" 2 3 4







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


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


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


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


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


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


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


extern int sched_rr_get_interval (__pid_t __pid, struct timespec *__t) __attribute__ ((__nothrow__));
# 110 "/usr/include/sched.h" 3 4
extern int sched_setaffinity (__pid_t __pid, size_t __cpusetsize,
         __const cpu_set_t *__cpuset) __attribute__ ((__nothrow__));


extern int sched_getaffinity (__pid_t __pid, size_t __cpusetsize,
         cpu_set_t *__cpuset) __attribute__ ((__nothrow__));



# 26 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/time.h" 1 3 4
# 30 "/usr/include/time.h" 3 4








# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 39 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/bits/time.h" 1 3 4
# 43 "/usr/include/time.h" 2 3 4
# 58 "/usr/include/time.h" 3 4


typedef __clock_t clock_t;



# 74 "/usr/include/time.h" 3 4


typedef __time_t time_t;



# 92 "/usr/include/time.h" 3 4
typedef __clockid_t clockid_t;
# 104 "/usr/include/time.h" 3 4
typedef __timer_t timer_t;
# 131 "/usr/include/time.h" 3 4


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


  long int tm_gmtoff;
  __const char *tm_zone;




};








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


struct sigevent;





typedef __pid_t pid_t;








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


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


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


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





extern size_t strftime (char *__restrict __s, size_t __maxsize,
   __const char *__restrict __format,
   __const struct tm *__restrict __tp) __attribute__ ((__nothrow__));





extern char *strptime (__const char *__restrict __s,
         __const char *__restrict __fmt, struct tm *__tp)
     __attribute__ ((__nothrow__));





# 1 "/usr/include/xlocale.h" 1 3 4
# 28 "/usr/include/xlocale.h" 3 4
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;
# 216 "/usr/include/time.h" 2 3 4

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__));



extern char *strptime_l (__const char *__restrict __s,
    __const char *__restrict __fmt, struct tm *__tp,
    __locale_t __loc) __attribute__ ((__nothrow__));






extern struct tm *gmtime (__const time_t *__timer) __attribute__ ((__nothrow__));



extern struct tm *localtime (__const time_t *__timer) __attribute__ ((__nothrow__));





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



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





extern char *asctime (__const struct tm *__tp) __attribute__ ((__nothrow__));


extern char *ctime (__const time_t *__timer) __attribute__ ((__nothrow__));







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


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




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




extern char *tzname[2];



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



extern int daylight;
extern long int timezone;





extern int stime (__const time_t *__when) __attribute__ ((__nothrow__));
# 313 "/usr/include/time.h" 3 4
extern time_t timegm (struct tm *__tp) __attribute__ ((__nothrow__));


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


extern int dysize (int __year) __attribute__ ((__nothrow__)) __attribute__ ((__const__));
# 328 "/usr/include/time.h" 3 4
extern int nanosleep (__const struct timespec *__requested_time,
        struct timespec *__remaining);



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


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


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






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__));




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


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


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


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


extern int timer_getoverrun (timer_t __timerid) __attribute__ ((__nothrow__));
# 390 "/usr/include/time.h" 3 4
extern int getdate_err;
# 399 "/usr/include/time.h" 3 4
extern struct tm *getdate (__const char *__string);
# 413 "/usr/include/time.h" 3 4
extern int getdate_r (__const char *__restrict __string,
        struct tm *__restrict __resbufp);



# 27 "/usr/include/pthread.h" 2 3 4


# 1 "/usr/include/signal.h" 1 3 4
# 31 "/usr/include/signal.h" 3 4


# 1 "/usr/include/bits/sigset.h" 1 3 4
# 24 "/usr/include/bits/sigset.h" 3 4
typedef int __sig_atomic_t;




typedef struct
  {
    unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
  } __sigset_t;
# 34 "/usr/include/signal.h" 2 3 4
# 50 "/usr/include/signal.h" 3 4
typedef __sigset_t sigset_t;
# 408 "/usr/include/signal.h" 3 4

# 30 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/bits/pthreadtypes.h" 1 3 4
# 24 "/usr/include/bits/pthreadtypes.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 25 "/usr/include/bits/pthreadtypes.h" 2 3 4
# 51 "/usr/include/bits/pthreadtypes.h" 3 4
typedef unsigned long int pthread_t;


typedef union
{
  char __size[56];
  long int __align;
} pthread_attr_t;



typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
# 77 "/usr/include/bits/pthreadtypes.h" 3 4
typedef union
{
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;

    unsigned int __nusers;



    int __kind;

    int __spins;
    __pthread_list_t __list;
# 102 "/usr/include/bits/pthreadtypes.h" 3 4
  } __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;
# 188 "/usr/include/bits/pthreadtypes.h" 3 4
  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;
# 31 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/bits/setjmp.h" 1 3 4
# 33 "/usr/include/bits/setjmp.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 34 "/usr/include/bits/setjmp.h" 2 3 4
# 44 "/usr/include/bits/setjmp.h" 3 4
typedef long int __jmp_buf[64] __attribute__ ((__aligned__ (16)));
# 32 "/usr/include/pthread.h" 2 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 33 "/usr/include/pthread.h" 2 3 4



enum
{
  PTHREAD_CREATE_JOINABLE,

  PTHREAD_CREATE_DETACHED

};



enum
{
  PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_ADAPTIVE_NP

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



  , PTHREAD_MUTEX_FAST_NP = PTHREAD_MUTEX_TIMED_NP

};




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





enum
{
  PTHREAD_PRIO_NONE,
  PTHREAD_PRIO_INHERIT,
  PTHREAD_PRIO_PROTECT
};
# 117 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_RWLOCK_PREFER_READER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP,
  PTHREAD_RWLOCK_DEFAULT_NP = PTHREAD_RWLOCK_PREFER_READER_NP
};
# 149 "/usr/include/pthread.h" 3 4
enum
{
  PTHREAD_INHERIT_SCHED,

  PTHREAD_EXPLICIT_SCHED

};



enum
{
  PTHREAD_SCOPE_SYSTEM,

  PTHREAD_SCOPE_PROCESS

};



enum
{
  PTHREAD_PROCESS_PRIVATE,

  PTHREAD_PROCESS_SHARED

};
# 184 "/usr/include/pthread.h" 3 4
struct _pthread_cleanup_buffer
{
  void (*__routine) (void *);
  void *__arg;
  int __canceltype;
  struct _pthread_cleanup_buffer *__prev;
};


enum
{
  PTHREAD_CANCEL_ENABLE,

  PTHREAD_CANCEL_DISABLE

};
enum
{
  PTHREAD_CANCEL_DEFERRED,

  PTHREAD_CANCEL_ASYNCHRONOUS

};
# 222 "/usr/include/pthread.h" 3 4





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_tryjoin_np (pthread_t __th, void **__thread_return) __attribute__ ((__nothrow__));







extern int pthread_timedjoin_np (pthread_t __th, void **__thread_return,
     __const struct timespec *__abstime);






extern int pthread_detach (pthread_t __th) __attribute__ ((__nothrow__));



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


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







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


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


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


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



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


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



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


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


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


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


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


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



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


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


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





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


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




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



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




extern int pthread_attr_setstack (pthread_attr_t *__attr, void *__stackaddr,
      size_t __stacksize) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));





extern int pthread_attr_setaffinity_np (pthread_attr_t *__attr,
     size_t __cpusetsize,
     __const cpu_set_t *__cpuset)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3)));



extern int pthread_attr_getaffinity_np (__const pthread_attr_t *__attr,
     size_t __cpusetsize,
     cpu_set_t *__cpuset)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3)));





extern int pthread_getattr_np (pthread_t __th, pthread_attr_t *__attr)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));







extern int pthread_setschedparam (pthread_t __target_thread, int __policy,
      __const struct sched_param *__param)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3)));


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


extern int pthread_setschedprio (pthread_t __target_thread, int __prio)
     __attribute__ ((__nothrow__));




extern int pthread_getconcurrency (void) __attribute__ ((__nothrow__));


extern int pthread_setconcurrency (int __level) __attribute__ ((__nothrow__));







extern int pthread_yield (void) __attribute__ ((__nothrow__));




extern int pthread_setaffinity_np (pthread_t __th, size_t __cpusetsize,
       __const cpu_set_t *__cpuset)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3)));


extern int pthread_getaffinity_np (pthread_t __th, size_t __cpusetsize,
       cpu_set_t *__cpuset)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3)));
# 468 "/usr/include/pthread.h" 3 4
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
# 480 "/usr/include/pthread.h" 3 4
extern int pthread_setcancelstate (int __state, int *__oldstate);



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


extern int pthread_cancel (pthread_t __th);




extern void pthread_testcancel (void);




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__));
# 514 "/usr/include/pthread.h" 3 4
struct __pthread_cleanup_frame
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
};
# 654 "/usr/include/pthread.h" 3 4
extern void __pthread_register_cancel (__pthread_unwind_buf_t *__buf)
     ;
# 666 "/usr/include/pthread.h" 3 4
extern void __pthread_unregister_cancel (__pthread_unwind_buf_t *__buf)
  ;
# 689 "/usr/include/pthread.h" 3 4
extern void __pthread_register_cancel_defer (__pthread_unwind_buf_t *__buf)
     ;
# 702 "/usr/include/pthread.h" 3 4
extern void __pthread_unregister_cancel_restore (__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__)) __attribute__ ((__nonnull__ (1)));


extern int pthread_mutex_destroy (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__)) __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__)) __attribute__ ((__nonnull__ (1, 2)));



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





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

extern int pthread_mutex_consistent_np (pthread_mutex_t *__mutex)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
# 782 "/usr/include/pthread.h" 3 4
extern int pthread_mutexattr_init (pthread_mutexattr_t *__attr)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


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


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


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



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




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


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



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


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


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




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

extern int pthread_mutexattr_getrobust_np (__const pthread_mutexattr_t *__attr,
        int *__robustness)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));



extern int pthread_mutexattr_setrobust (pthread_mutexattr_t *__attr,
     int __robustness)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));

extern int pthread_mutexattr_setrobust_np (pthread_mutexattr_t *__attr,
        int __robustness)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
# 864 "/usr/include/pthread.h" 3 4
extern int pthread_rwlock_init (pthread_rwlock_t *__restrict __rwlock,
    __const pthread_rwlockattr_t *__restrict
    __attr) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


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


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


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


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


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


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







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


extern int pthread_cond_destroy (pthread_cond_t *__cond)
     __attribute__ ((__nothrow__)) __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)));
# 976 "/usr/include/pthread.h" 3 4
extern int pthread_cond_timedwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       __const struct timespec *__restrict
       __abstime) __attribute__ ((__nonnull__ (1, 2, 3)));




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


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


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


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



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


extern int pthread_condattr_setclock (pthread_condattr_t *__attr,
          __clockid_t __clock_id)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
# 1020 "/usr/include/pthread.h" 3 4
extern int pthread_spin_init (pthread_spinlock_t *__lock, int __pshared)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


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


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


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


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


extern int pthread_barrierattr_setpshared (pthread_barrierattr_t *__attr,
                                           int __pshared)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
# 1087 "/usr/include/pthread.h" 3 4
extern int pthread_key_create (pthread_key_t *__key,
          void (*__destr_function) (void *))
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


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


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


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




extern int pthread_getcpuclockid (pthread_t __thread_id,
      __clockid_t *__clock_id)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));
# 1121 "/usr/include/pthread.h" 3 4
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) __attribute__ ((__nothrow__));




extern __inline int
__attribute__ ((__nothrow__)) pthread_equal (pthread_t __thread1, pthread_t __thread2)
{
  return __thread1 == __thread2;
}



# 242 "./../include/my_global.h" 2
# 311 "./../include/my_global.h"
# 1 "/usr/include/stdio.h" 1 3 4
# 30 "/usr/include/stdio.h" 3 4




# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 35 "/usr/include/stdio.h" 2 3 4
# 45 "/usr/include/stdio.h" 3 4
struct _IO_FILE;



typedef struct _IO_FILE FILE;





# 65 "/usr/include/stdio.h" 3 4
typedef struct _IO_FILE __FILE;
# 75 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/libio.h" 1 3 4
# 32 "/usr/include/libio.h" 3 4
# 1 "/usr/include/_G_config.h" 1 3 4
# 15 "/usr/include/_G_config.h" 3 4
# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 16 "/usr/include/_G_config.h" 2 3 4




# 1 "/usr/include/wchar.h" 1 3 4
# 83 "/usr/include/wchar.h" 3 4
typedef struct
{
  int __count;
  union
  {

    unsigned int __wch;



    char __wchb[4];
  } __value;
} __mbstate_t;
# 21 "/usr/include/_G_config.h" 2 3 4

typedef struct
{
  __off_t __pos;
  __mbstate_t __state;
} _G_fpos_t;
typedef struct
{
  __off64_t __pos;
  __mbstate_t __state;
} _G_fpos64_t;
# 53 "/usr/include/_G_config.h" 3 4
typedef int _G_int16_t __attribute__ ((__mode__ (__HI__)));
typedef int _G_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int _G_uint16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int _G_uint32_t __attribute__ ((__mode__ (__SI__)));
# 33 "/usr/include/libio.h" 2 3 4
# 53 "/usr/include/libio.h" 3 4
# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stdarg.h" 1 3 4
# 43 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 54 "/usr/include/libio.h" 2 3 4
# 170 "/usr/include/libio.h" 3 4
struct _IO_jump_t; struct _IO_FILE;
# 180 "/usr/include/libio.h" 3 4
typedef void _IO_lock_t;





struct _IO_marker {
  struct _IO_marker *_next;
  struct _IO_FILE *_sbuf;



  int _pos;
# 203 "/usr/include/libio.h" 3 4
};


enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
# 271 "/usr/include/libio.h" 3 4
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;
# 319 "/usr/include/libio.h" 3 4
  __off64_t _offset;
# 328 "/usr/include/libio.h" 3 4
  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_;
# 364 "/usr/include/libio.h" 3 4
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);




typedef __io_read_fn cookie_read_function_t;
typedef __io_write_fn cookie_write_function_t;
typedef __io_seek_fn cookie_seek_function_t;
typedef __io_close_fn cookie_close_function_t;


typedef struct
{
  __io_read_fn *read;
  __io_write_fn *write;
  __io_seek_fn *seek;
  __io_close_fn *close;
} _IO_cookie_io_functions_t;
typedef _IO_cookie_io_functions_t cookie_io_functions_t;

struct _IO_cookie_file;


extern void _IO_cookie_init (struct _IO_cookie_file *__cfile, int __read_write,
        void *__cookie, _IO_cookie_io_functions_t __fns);







extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);
# 458 "/usr/include/libio.h" 3 4
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__));
extern int _IO_ferror (_IO_FILE *__fp) __attribute__ ((__nothrow__));

extern int _IO_peekc_locked (_IO_FILE *__fp);





extern void _IO_flockfile (_IO_FILE *) __attribute__ ((__nothrow__));
extern void _IO_funlockfile (_IO_FILE *) __attribute__ ((__nothrow__));
extern int _IO_ftrylockfile (_IO_FILE *) __attribute__ ((__nothrow__));
# 488 "/usr/include/libio.h" 3 4
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__));
# 76 "/usr/include/stdio.h" 2 3 4




typedef __gnuc_va_list va_list;
# 89 "/usr/include/stdio.h" 3 4


typedef _G_fpos_t fpos_t;





typedef _G_fpos64_t fpos64_t;
# 141 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/bits/stdio_lim.h" 1 3 4
# 142 "/usr/include/stdio.h" 2 3 4



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







extern int remove (__const char *__filename) __attribute__ ((__nothrow__));

extern int rename (__const char *__old, __const char *__new) __attribute__ ((__nothrow__));




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








extern FILE *tmpfile (void) __attribute__ ((__warn_unused_result__));
# 182 "/usr/include/stdio.h" 3 4
extern FILE *tmpfile64 (void) __attribute__ ((__warn_unused_result__));



extern char *tmpnam (char *__s) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));





extern char *tmpnam_r (char *__s) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));
# 204 "/usr/include/stdio.h" 3 4
extern char *tempnam (__const char *__dir, __const char *__pfx)
     __attribute__ ((__nothrow__)) __attribute__ ((__malloc__)) __attribute__ ((__warn_unused_result__));








extern int fclose (FILE *__stream);




extern int fflush (FILE *__stream);

# 229 "/usr/include/stdio.h" 3 4
extern int fflush_unlocked (FILE *__stream);
# 239 "/usr/include/stdio.h" 3 4
extern int fcloseall (void);









extern FILE *fopen (__const char *__restrict __filename,
      __const char *__restrict __modes) __attribute__ ((__warn_unused_result__));




extern FILE *freopen (__const char *__restrict __filename,
        __const char *__restrict __modes,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
# 272 "/usr/include/stdio.h" 3 4


extern FILE *fopen64 (__const char *__restrict __filename,
        __const char *__restrict __modes) __attribute__ ((__warn_unused_result__));
extern FILE *freopen64 (__const char *__restrict __filename,
   __const char *__restrict __modes,
   FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));




extern FILE *fdopen (int __fd, __const char *__modes) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));





extern FILE *fopencookie (void *__restrict __magic_cookie,
     __const char *__restrict __modes,
     _IO_cookie_io_functions_t __io_funcs) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));




extern FILE *fmemopen (void *__s, size_t __len, __const char *__modes)
  __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));






extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) __attribute__ ((__nothrow__));



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





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


extern void setlinebuf (FILE *__stream) __attribute__ ((__nothrow__));








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 vasprintf (char **__restrict __ptr, __const char *__restrict __f,
        __gnuc_va_list __arg)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 0))) __attribute__ ((__warn_unused_result__));
extern int __asprintf (char **__restrict __ptr,
         __const char *__restrict __fmt, ...)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 3))) __attribute__ ((__warn_unused_result__));
extern int asprintf (char **__restrict __ptr,
       __const char *__restrict __fmt, ...)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 2, 3))) __attribute__ ((__warn_unused_result__));
# 394 "/usr/include/stdio.h" 3 4
extern int vdprintf (int __fd, __const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, __const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));








extern int fscanf (FILE *__restrict __stream,
     __const char *__restrict __format, ...) __attribute__ ((__warn_unused_result__));




extern int scanf (__const char *__restrict __format, ...) __attribute__ ((__warn_unused_result__));

extern int sscanf (__const char *__restrict __s,
     __const char *__restrict __format, ...) __attribute__ ((__nothrow__));
# 445 "/usr/include/stdio.h" 3 4








extern int vfscanf (FILE *__restrict __s, __const char *__restrict __format,
      __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 2, 0))) __attribute__ ((__warn_unused_result__));





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


extern int vsscanf (__const char *__restrict __s,
      __const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__scanf__, 2, 0)));
# 504 "/usr/include/stdio.h" 3 4









extern int fgetc (FILE *__stream);
extern int getc (FILE *__stream);





extern int getchar (void);

# 532 "/usr/include/stdio.h" 3 4
extern int getc_unlocked (FILE *__stream);
extern int getchar_unlocked (void);
# 543 "/usr/include/stdio.h" 3 4
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);

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







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






extern int getw (FILE *__stream);


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








extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     __attribute__ ((__warn_unused_result__));






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

# 622 "/usr/include/stdio.h" 3 4
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
# 638 "/usr/include/stdio.h" 3 4
extern __ssize_t __getdelim (char **__restrict __lineptr,
          size_t *__restrict __n, int __delimiter,
          FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern __ssize_t getdelim (char **__restrict __lineptr,
        size_t *__restrict __n, int __delimiter,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));







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








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) __attribute__ ((__warn_unused_result__));




extern size_t fwrite (__const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s) __attribute__ ((__warn_unused_result__));

# 699 "/usr/include/stdio.h" 3 4
extern int fputs_unlocked (__const char *__restrict __s,
      FILE *__restrict __stream);
# 710 "/usr/include/stdio.h" 3 4
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern size_t fwrite_unlocked (__const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));








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




extern long int ftell (FILE *__stream) __attribute__ ((__warn_unused_result__));




extern void rewind (FILE *__stream);

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




extern __off_t ftello (FILE *__stream) __attribute__ ((__warn_unused_result__));
# 765 "/usr/include/stdio.h" 3 4






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




extern int fsetpos (FILE *__stream, __const fpos_t *__pos);
# 788 "/usr/include/stdio.h" 3 4



extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence);
extern __off64_t ftello64 (FILE *__stream) __attribute__ ((__warn_unused_result__));
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos);
extern int fsetpos64 (FILE *__stream, __const fpos64_t *__pos);




extern void clearerr (FILE *__stream) __attribute__ ((__nothrow__));

extern int feof (FILE *__stream) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));

extern int ferror (FILE *__stream) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));




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








extern void perror (__const char *__s);






# 1 "/usr/include/bits/sys_errlist.h" 1 3 4
# 27 "/usr/include/bits/sys_errlist.h" 3 4
extern int sys_nerr;
extern __const char *__const sys_errlist[];


extern int _sys_nerr;
extern __const char *__const _sys_errlist[];
# 827 "/usr/include/stdio.h" 2 3 4




extern int fileno (FILE *__stream) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));




extern int fileno_unlocked (FILE *__stream) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));
# 846 "/usr/include/stdio.h" 3 4
extern FILE *popen (__const char *__command, __const char *__modes) __attribute__ ((__warn_unused_result__));





extern int pclose (FILE *__stream);





extern char *ctermid (char *__s) __attribute__ ((__nothrow__));





extern char *cuserid (char *__s);




struct obstack;


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







extern void flockfile (FILE *__stream) __attribute__ ((__nothrow__));



extern int ftrylockfile (FILE *__stream) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern void funlockfile (FILE *__stream) __attribute__ ((__nothrow__));
# 907 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/bits/stdio.h" 1 3 4
# 44 "/usr/include/bits/stdio.h" 3 4
extern __inline int
getchar (void)
{
  return _IO_getc (stdin);
}




extern __inline int
fgetc_unlocked (FILE *__fp)
{
  return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}





extern __inline int
getc_unlocked (FILE *__fp)
{
  return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}


extern __inline int
getchar_unlocked (void)
{
  return (__builtin_expect (((stdin)->_IO_read_ptr >= (stdin)->_IO_read_end), 0) ? __uflow (stdin) : *(unsigned char *) (stdin)->_IO_read_ptr++);
}




extern __inline int
putchar (int __c)
{
  return _IO_putc (__c, stdout);
}




extern __inline int
fputc_unlocked (int __c, FILE *__stream)
{
  return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}





extern __inline int
putc_unlocked (int __c, FILE *__stream)
{
  return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}


extern __inline int
putchar_unlocked (int __c)
{
  return (__builtin_expect (((stdout)->_IO_write_ptr >= (stdout)->_IO_write_end), 0) ? __overflow (stdout, (unsigned char) (__c)) : (unsigned char) (*(stdout)->_IO_write_ptr++ = (__c)));
}





extern __inline __ssize_t
getline (char **__lineptr, size_t *__n, FILE *__stream)
{
  return __getdelim (__lineptr, __n, '\n', __stream);
}





extern __inline int
__attribute__ ((__nothrow__)) feof_unlocked (FILE *__stream)
{
  return (((__stream)->_flags & 0x10) != 0);
}


extern __inline int
__attribute__ ((__nothrow__)) ferror_unlocked (FILE *__stream)
{
  return (((__stream)->_flags & 0x20) != 0);
}
# 908 "/usr/include/stdio.h" 2 3 4


# 1 "/usr/include/bits/stdio2.h" 1 3 4
# 24 "/usr/include/bits/stdio2.h" 3 4
extern int __sprintf_chk (char *__restrict __s, int __flag, size_t __slen,
     __const char *__restrict __format, ...) __attribute__ ((__nothrow__));
extern int __vsprintf_chk (char *__restrict __s, int __flag, size_t __slen,
      __const char *__restrict __format,
      __gnuc_va_list __ap) __attribute__ ((__nothrow__));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) sprintf (char *__restrict __s, __const char *__restrict __fmt, ...)
{
  return __builtin___sprintf_chk (__s, 2 - 1,
      __builtin_object_size (__s, 2 > 1), __fmt, __builtin_va_arg_pack ());
}






extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) vsprintf (char *__restrict __s, __const char *__restrict __fmt, __gnuc_va_list __ap)

{
  return __builtin___vsprintf_chk (__s, 2 - 1,
       __builtin_object_size (__s, 2 > 1), __fmt, __ap);
}



extern int __snprintf_chk (char *__restrict __s, size_t __n, int __flag,
      size_t __slen, __const char *__restrict __format,
      ...) __attribute__ ((__nothrow__));
extern int __vsnprintf_chk (char *__restrict __s, size_t __n, int __flag,
       size_t __slen, __const char *__restrict __format,
       __gnuc_va_list __ap) __attribute__ ((__nothrow__));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) snprintf (char *__restrict __s, size_t __n, __const char *__restrict __fmt, ...)

{
  return __builtin___snprintf_chk (__s, __n, 2 - 1,
       __builtin_object_size (__s, 2 > 1), __fmt, __builtin_va_arg_pack ());
}






extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) vsnprintf (char *__restrict __s, size_t __n, __const char *__restrict __fmt, __gnuc_va_list __ap)

{
  return __builtin___vsnprintf_chk (__s, __n, 2 - 1,
        __builtin_object_size (__s, 2 > 1), __fmt, __ap);
}





extern int __fprintf_chk (FILE *__restrict __stream, int __flag,
     __const char *__restrict __format, ...);
extern int __printf_chk (int __flag, __const char *__restrict __format, ...);
extern int __vfprintf_chk (FILE *__restrict __stream, int __flag,
      __const char *__restrict __format, __gnuc_va_list __ap);
extern int __vprintf_chk (int __flag, __const char *__restrict __format,
     __gnuc_va_list __ap);


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
fprintf (FILE *__restrict __stream, __const char *__restrict __fmt, ...)
{
  return __fprintf_chk (__stream, 2 - 1, __fmt,
   __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
printf (__const char *__restrict __fmt, ...)
{
  return __printf_chk (2 - 1, __fmt, __builtin_va_arg_pack ());
}







extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
vprintf (__const char *__restrict __fmt, __gnuc_va_list __ap)
{

  return __vfprintf_chk (stdout, 2 - 1, __fmt, __ap);



}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
vfprintf (FILE *__restrict __stream,
   __const char *__restrict __fmt, __gnuc_va_list __ap)
{
  return __vfprintf_chk (__stream, 2 - 1, __fmt, __ap);
}



extern int __asprintf_chk (char **__restrict __ptr, int __flag,
      __const char *__restrict __fmt, ...)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 4))) __attribute__ ((__warn_unused_result__));
extern int __vasprintf_chk (char **__restrict __ptr, int __flag,
       __const char *__restrict __fmt, __gnuc_va_list __arg)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 0))) __attribute__ ((__warn_unused_result__));
extern int __dprintf_chk (int __fd, int __flag, __const char *__restrict __fmt,
     ...) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int __vdprintf_chk (int __fd, int __flag,
      __const char *__restrict __fmt, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 3, 0)));
extern int __obstack_printf_chk (struct obstack *__restrict __obstack,
     int __flag, __const char *__restrict __format,
     ...)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int __obstack_vprintf_chk (struct obstack *__restrict __obstack,
      int __flag,
      __const char *__restrict __format,
      __gnuc_va_list __args)
     __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 0)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) asprintf (char **__restrict __ptr, __const char *__restrict __fmt, ...)
{
  return __asprintf_chk (__ptr, 2 - 1, __fmt,
    __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) __asprintf (char **__restrict __ptr, __const char *__restrict __fmt, ...)

{
  return __asprintf_chk (__ptr, 2 - 1, __fmt,
    __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
dprintf (int __fd, __const char *__restrict __fmt, ...)
{
  return __dprintf_chk (__fd, 2 - 1, __fmt,
   __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) obstack_printf (struct obstack *__restrict __obstack, __const char *__restrict __fmt, ...)

{
  return __obstack_printf_chk (__obstack, 2 - 1, __fmt,
          __builtin_va_arg_pack ());
}
# 195 "/usr/include/bits/stdio2.h" 3 4
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) vasprintf (char **__restrict __ptr, __const char *__restrict __fmt, __gnuc_va_list __ap)

{
  return __vasprintf_chk (__ptr, 2 - 1, __fmt, __ap);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
vdprintf (int __fd, __const char *__restrict __fmt, __gnuc_va_list __ap)
{
  return __vdprintf_chk (__fd, 2 - 1, __fmt, __ap);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) obstack_vprintf (struct obstack *__restrict __obstack, __const char *__restrict __fmt, __gnuc_va_list __ap)

{
  return __obstack_vprintf_chk (__obstack, 2 - 1, __fmt,
    __ap);
}





extern char *__gets_chk (char *__str, size_t) __attribute__ ((__warn_unused_result__));
extern char *__gets_warn (char *__str) __asm__ ("" "gets")
     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("please use fgets or getline instead, gets can't " "specify buffer size")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) char *
gets (char *__str)
{
  if (__builtin_object_size (__str, 2 > 1) != (size_t) -1)
    return __gets_chk (__str, __builtin_object_size (__str, 2 > 1));
  return __gets_warn (__str);
}

extern char *__fgets_chk (char *__restrict __s, size_t __size, int __n,
     FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern char *__fgets_alias (char *__restrict __s, int __n, FILE *__restrict __stream) __asm__ ("" "fgets") __attribute__ ((__warn_unused_result__));


extern char *__fgets_chk_warn (char *__restrict __s, size_t __size, int __n, FILE *__restrict __stream) __asm__ ("" "__fgets_chk")


     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fgets called with bigger size than length " "of destination buffer")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) char *
fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
{
  if (__builtin_object_size (__s, 2 > 1) != (size_t) -1)
    {
      if (!__builtin_constant_p (__n) || __n <= 0)
 return __fgets_chk (__s, __builtin_object_size (__s, 2 > 1), __n, __stream);

      if ((size_t) __n > __builtin_object_size (__s, 2 > 1))
 return __fgets_chk_warn (__s, __builtin_object_size (__s, 2 > 1), __n, __stream);
    }
  return __fgets_alias (__s, __n, __stream);
}

extern size_t __fread_chk (void *__restrict __ptr, size_t __ptrlen,
      size_t __size, size_t __n,
      FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern size_t __fread_alias (void *__restrict __ptr, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "fread") __attribute__ ((__warn_unused_result__));



extern size_t __fread_chk_warn (void *__restrict __ptr, size_t __ptrlen, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "__fread_chk")




     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fread called with bigger size * nmemb than length " "of destination buffer")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) size_t
fread (void *__restrict __ptr, size_t __size, size_t __n,
       FILE *__restrict __stream)
{
  if (__builtin_object_size (__ptr, 0) != (size_t) -1)
    {
      if (!__builtin_constant_p (__size)
   || !__builtin_constant_p (__n)
   || (__size | __n) >= (((size_t) 1) << (8 * sizeof (size_t) / 2)))
 return __fread_chk (__ptr, __builtin_object_size (__ptr, 0), __size, __n, __stream);

      if (__size * __n > __builtin_object_size (__ptr, 0))
 return __fread_chk_warn (__ptr, __builtin_object_size (__ptr, 0), __size, __n, __stream);
    }
  return __fread_alias (__ptr, __size, __n, __stream);
}


extern char *__fgets_unlocked_chk (char *__restrict __s, size_t __size,
       int __n, FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern char *__fgets_unlocked_alias (char *__restrict __s, int __n, FILE *__restrict __stream) __asm__ ("" "fgets_unlocked") __attribute__ ((__warn_unused_result__));


extern char *__fgets_unlocked_chk_warn (char *__restrict __s, size_t __size, int __n, FILE *__restrict __stream) __asm__ ("" "__fgets_unlocked_chk")


     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fgets_unlocked called with bigger size than length " "of destination buffer")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) char *
fgets_unlocked (char *__restrict __s, int __n, FILE *__restrict __stream)
{
  if (__builtin_object_size (__s, 2 > 1) != (size_t) -1)
    {
      if (!__builtin_constant_p (__n) || __n <= 0)
 return __fgets_unlocked_chk (__s, __builtin_object_size (__s, 2 > 1), __n, __stream);

      if ((size_t) __n > __builtin_object_size (__s, 2 > 1))
 return __fgets_unlocked_chk_warn (__s, __builtin_object_size (__s, 2 > 1), __n, __stream);
    }
  return __fgets_unlocked_alias (__s, __n, __stream);
}




extern size_t __fread_unlocked_chk (void *__restrict __ptr, size_t __ptrlen,
        size_t __size, size_t __n,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__));
extern size_t __fread_unlocked_alias (void *__restrict __ptr, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "fread_unlocked") __attribute__ ((__warn_unused_result__));



extern size_t __fread_unlocked_chk_warn (void *__restrict __ptr, size_t __ptrlen, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "__fread_unlocked_chk")




     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fread_unlocked called with bigger size * nmemb than " "length of destination buffer")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) size_t
fread_unlocked (void *__restrict __ptr, size_t __size, size_t __n,
  FILE *__restrict __stream)
{
  if (__builtin_object_size (__ptr, 0) != (size_t) -1)
    {
      if (!__builtin_constant_p (__size)
   || !__builtin_constant_p (__n)
   || (__size | __n) >= (((size_t) 1) << (8 * sizeof (size_t) / 2)))
 return __fread_unlocked_chk (__ptr, __builtin_object_size (__ptr, 0), __size, __n,
         __stream);

      if (__size * __n > __builtin_object_size (__ptr, 0))
 return __fread_unlocked_chk_warn (__ptr, __builtin_object_size (__ptr, 0), __size, __n,
       __stream);
    }


  if (__builtin_constant_p (__size)
      && __builtin_constant_p (__n)
      && (__size | __n) < (((size_t) 1) << (8 * sizeof (size_t) / 2))
      && __size * __n <= 8)
    {
      size_t __cnt = __size * __n;
      char *__cptr = (char *) __ptr;
      if (__cnt == 0)
 return 0;

      for (; __cnt > 0; --__cnt)
 {
   int __c = (__builtin_expect (((__stream)->_IO_read_ptr >= (__stream)->_IO_read_end), 0) ? __uflow (__stream) : *(unsigned char *) (__stream)->_IO_read_ptr++);
   if (__c == (-1))
     break;
   *__cptr++ = __c;
 }
      return (__cptr - (char *) __ptr) / __size;
    }

  return __fread_unlocked_alias (__ptr, __size, __n, __stream);
}
# 911 "/usr/include/stdio.h" 2 3 4






# 312 "./../include/my_global.h" 2


# 1 "/usr/include/stdlib.h" 1 3 4
# 33 "/usr/include/stdlib.h" 3 4
# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 326 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 3 4
typedef int wchar_t;
# 34 "/usr/include/stdlib.h" 2 3 4








# 1 "/usr/include/bits/waitflags.h" 1 3 4
# 43 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/bits/waitstatus.h" 1 3 4
# 67 "/usr/include/bits/waitstatus.h" 3 4
union wait
  {
    int w_status;
    struct
      {







 unsigned int:16;
 unsigned int __w_retcode:8;
 unsigned int __w_coredump:1;
 unsigned int __w_termsig:7;

      } __wait_terminated;
    struct
      {






 unsigned int:16;
 unsigned int __w_stopsig:8;
 unsigned int __w_stopval:8;

      } __wait_stopped;
  };
# 44 "/usr/include/stdlib.h" 2 3 4
# 68 "/usr/include/stdlib.h" 3 4
typedef union
  {
    union wait *__uptr;
    int *__iptr;
  } __WAIT_STATUS __attribute__ ((__transparent_union__));
# 96 "/usr/include/stdlib.h" 3 4


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



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







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


# 140 "/usr/include/stdlib.h" 3 4
extern size_t __ctype_get_mb_cur_max (void) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));




extern double atof (__const char *__nptr)
     __attribute__ ((__nothrow__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern int atoi (__const char *__nptr)
     __attribute__ ((__nothrow__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern long int atol (__const char *__nptr)
     __attribute__ ((__nothrow__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));





__extension__ extern long long int atoll (__const char *__nptr)
     __attribute__ ((__nothrow__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));





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





extern float strtof (__const char *__restrict __nptr,
       char **__restrict __endptr) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern long double strtold (__const char *__restrict __nptr,
       char **__restrict __endptr)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));





extern long int strtol (__const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern unsigned long int strtoul (__const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




__extension__
extern long long int strtoq (__const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

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





__extension__
extern long long int strtoll (__const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

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

# 240 "/usr/include/stdlib.h" 3 4
extern long int strtol_l (__const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     __locale_t __loc) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 4))) __attribute__ ((__warn_unused_result__));

extern unsigned long int strtoul_l (__const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 4))) __attribute__ ((__warn_unused_result__));

__extension__
extern long long int strtoll_l (__const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 4))) __attribute__ ((__warn_unused_result__));

__extension__
extern unsigned long long int strtoull_l (__const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 4))) __attribute__ ((__warn_unused_result__));

extern double strtod_l (__const char *__restrict __nptr,
   char **__restrict __endptr, __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3))) __attribute__ ((__warn_unused_result__));

extern float strtof_l (__const char *__restrict __nptr,
         char **__restrict __endptr, __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3))) __attribute__ ((__warn_unused_result__));

extern long double strtold_l (__const char *__restrict __nptr,
         char **__restrict __endptr,
         __locale_t __loc)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 3))) __attribute__ ((__warn_unused_result__));





extern __inline double
__attribute__ ((__nothrow__)) atof (__const char *__nptr)
{
  return strtod (__nptr, (char **) ((void *)0));
}
extern __inline int
__attribute__ ((__nothrow__)) atoi (__const char *__nptr)
{
  return (int) strtol (__nptr, (char **) ((void *)0), 10);
}
extern __inline long int
__attribute__ ((__nothrow__)) atol (__const char *__nptr)
{
  return strtol (__nptr, (char **) ((void *)0), 10);
}




__extension__ extern __inline long long int
__attribute__ ((__nothrow__)) atoll (__const char *__nptr)
{
  return strtoll (__nptr, (char **) ((void *)0), 10);
}

# 311 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern long int a64l (__const char *__s)
     __attribute__ ((__nothrow__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




# 1 "/usr/include/sys/types.h" 1 3 4
# 29 "/usr/include/sys/types.h" 3 4






typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;




typedef __loff_t loff_t;



typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;
# 105 "/usr/include/sys/types.h" 3 4
typedef __id_t id_t;




typedef __ssize_t ssize_t;





typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;
# 137 "/usr/include/sys/types.h" 3 4
typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 148 "/usr/include/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
# 195 "/usr/include/sys/types.h" 3 4
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__)));
# 220 "/usr/include/sys/types.h" 3 4
# 1 "/usr/include/sys/select.h" 1 3 4
# 31 "/usr/include/sys/select.h" 3 4
# 1 "/usr/include/bits/select.h" 1 3 4
# 32 "/usr/include/sys/select.h" 2 3 4


# 1 "/usr/include/bits/sigset.h" 1 3 4
# 35 "/usr/include/sys/select.h" 2 3 4
# 46 "/usr/include/sys/select.h" 3 4
# 1 "/usr/include/bits/time.h" 1 3 4
# 69 "/usr/include/bits/time.h" 3 4
struct timeval
  {
    __time_t tv_sec;
    __suseconds_t tv_usec;
  };
# 47 "/usr/include/sys/select.h" 2 3 4
# 55 "/usr/include/sys/select.h" 3 4
typedef long int __fd_mask;
# 67 "/usr/include/sys/select.h" 3 4
typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * sizeof (__fd_mask))];





  } fd_set;






typedef __fd_mask fd_mask;
# 99 "/usr/include/sys/select.h" 3 4

# 109 "/usr/include/sys/select.h" 3 4
extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
# 121 "/usr/include/sys/select.h" 3 4
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);



# 221 "/usr/include/sys/types.h" 2 3 4


# 1 "/usr/include/sys/sysmacros.h" 1 3 4
# 30 "/usr/include/sys/sysmacros.h" 3 4
__extension__
extern unsigned int gnu_dev_major (unsigned long long int __dev)
     __attribute__ ((__nothrow__));
__extension__
extern unsigned int gnu_dev_minor (unsigned long long int __dev)
     __attribute__ ((__nothrow__));
__extension__
extern unsigned long long int gnu_dev_makedev (unsigned int __major,
            unsigned int __minor)
     __attribute__ ((__nothrow__));


__extension__ extern __inline unsigned int
__attribute__ ((__nothrow__)) gnu_dev_major (unsigned long long int __dev)
{
  return ((__dev >> 8) & 0xfff) | ((unsigned int) (__dev >> 32) & ~0xfff);
}

__extension__ extern __inline unsigned int
__attribute__ ((__nothrow__)) gnu_dev_minor (unsigned long long int __dev)
{
  return (__dev & 0xff) | ((unsigned int) (__dev >> 12) & ~0xff);
}

__extension__ extern __inline unsigned long long int
__attribute__ ((__nothrow__)) gnu_dev_makedev (unsigned int __major, unsigned int __minor)
{
  return ((__minor & 0xff) | ((__major & 0xfff) << 8)
   | (((unsigned long long int) (__minor & ~0xff)) << 12)
   | (((unsigned long long int) (__major & ~0xfff)) << 32));
}
# 224 "/usr/include/sys/types.h" 2 3 4




typedef __blksize_t blksize_t;






typedef __blkcnt_t blkcnt_t;



typedef __fsblkcnt_t fsblkcnt_t;



typedef __fsfilcnt_t fsfilcnt_t;
# 262 "/usr/include/sys/types.h" 3 4
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;
# 273 "/usr/include/sys/types.h" 3 4

# 321 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) __attribute__ ((__nothrow__));


extern void srandom (unsigned int __seed) __attribute__ ((__nothrow__));





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) __attribute__ ((__nothrow__)) __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__)) __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));






extern int rand (void) __attribute__ ((__nothrow__));

extern void srand (unsigned int __seed) __attribute__ ((__nothrow__));




extern int rand_r (unsigned int *__seed) __attribute__ ((__nothrow__));







extern double drand48 (void) __attribute__ ((__nothrow__));
extern double erand48 (unsigned short int __xsubi[3]) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) __attribute__ ((__nothrow__));
extern long int nrand48 (unsigned short int __xsubi[3])
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) __attribute__ ((__nothrow__));
extern long int jrand48 (unsigned short int __xsubi[3])
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) __attribute__ ((__nothrow__));
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) __attribute__ ((__nothrow__)) __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;
    unsigned long long int __a;
  };


extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2)));









extern void *malloc (size_t __size) __attribute__ ((__nothrow__)) __attribute__ ((__malloc__)) __attribute__ ((__warn_unused_result__));

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










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

extern void free (void *__ptr) __attribute__ ((__nothrow__));




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



# 1 "/usr/include/alloca.h" 1 3 4
# 25 "/usr/include/alloca.h" 3 4
# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 26 "/usr/include/alloca.h" 2 3 4







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






# 498 "/usr/include/stdlib.h" 2 3 4




extern void *valloc (size_t __size) __attribute__ ((__nothrow__)) __attribute__ ((__malloc__)) __attribute__ ((__warn_unused_result__));




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




extern void abort (void) __attribute__ ((__nothrow__)) __attribute__ ((__noreturn__));



extern int atexit (void (*__func) (void)) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));
# 527 "/usr/include/stdlib.h" 3 4
extern int at_quick_exit (void (*__func) (void)) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));







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






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







extern void quick_exit (int __status) __attribute__ ((__nothrow__)) __attribute__ ((__noreturn__));







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






extern char *getenv (__const char *__name) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




extern char *__secure_getenv (__const char *__name)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));





extern int putenv (char *__string) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));





extern int setenv (__const char *__name, __const char *__value, int __replace)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));


extern int unsetenv (__const char *__name) __attribute__ ((__nothrow__));






extern int clearenv (void) __attribute__ ((__nothrow__));
# 604 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 615 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 625 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 635 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 646 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 656 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));









extern int system (__const char *__command) __attribute__ ((__warn_unused_result__));






extern char *canonicalize_file_name (__const char *__name)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 683 "/usr/include/stdlib.h" 3 4
extern char *realpath (__const char *__restrict __name,
         char *__restrict __resolved) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));






typedef int (*__compar_fn_t) (__const void *, __const void *);


typedef __compar_fn_t comparison_fn_t;



typedef int (*__compar_d_fn_t) (__const void *, __const void *, void *);





extern void *bsearch (__const void *__key, __const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) __attribute__ ((__warn_unused_result__));



extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));

extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
       __compar_d_fn_t __compar, void *__arg)
  __attribute__ ((__nonnull__ (1, 4)));




extern int abs (int __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
extern long int labs (long int __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));



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







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




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

# 756 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));




extern char *gcvt (double __value, int __ndigit, char *__buf)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3))) __attribute__ ((__warn_unused_result__));




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (3))) __attribute__ ((__warn_unused_result__));




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) __attribute__ ((__nothrow__)) __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__)) __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__)) __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__)) __attribute__ ((__nonnull__ (3, 4, 5)));







extern int mblen (__const char *__s, size_t __n) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern int mbtowc (wchar_t *__restrict __pwc,
     __const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern int wctomb (char *__s, wchar_t __wchar) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   __const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__));

extern size_t wcstombs (char *__restrict __s,
   __const wchar_t *__restrict __pwcs, size_t __n)
     __attribute__ ((__nothrow__));








extern int rpmatch (__const char *__response) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 844 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *__const *__restrict __tokens,
        char **__restrict __valuep)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1, 2, 3))) __attribute__ ((__warn_unused_result__));





extern void setkey (__const char *__key) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));







extern int posix_openpt (int __oflag) __attribute__ ((__warn_unused_result__));







extern int grantpt (int __fd) __attribute__ ((__nothrow__));



extern int unlockpt (int __fd) __attribute__ ((__nothrow__));




extern char *ptsname (int __fd) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));






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


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (1)));





# 1 "/usr/include/bits/stdlib.h" 1 3 4
# 24 "/usr/include/bits/stdlib.h" 3 4
extern char *__realpath_chk (__const char *__restrict __name,
        char *__restrict __resolved,
        size_t __resolvedlen) __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));
extern char *__realpath_alias (__const char *__restrict __name, char *__restrict __resolved) __asm__ ("" "realpath") __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern char *__realpath_chk_warn (__const char *__restrict __name, char *__restrict __resolved, size_t __resolvedlen) __asm__ ("" "__realpath_chk") __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__))



     __attribute__((__warning__ ("second argument of realpath must be either NULL or at " "least PATH_MAX bytes long buffer")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) char *
__attribute__ ((__nothrow__)) realpath (__const char *__restrict __name, char *__restrict __resolved)
{
  if (__builtin_object_size (__resolved, 2 > 1) != (size_t) -1)
    {




      return __realpath_chk (__name, __resolved, __builtin_object_size (__resolved, 2 > 1));
    }

  return __realpath_alias (__name, __resolved);
}


extern int __ptsname_r_chk (int __fd, char *__buf, size_t __buflen,
       size_t __nreal) __attribute__ ((__nothrow__)) __attribute__ ((__nonnull__ (2)));
extern int __ptsname_r_alias (int __fd, char *__buf, size_t __buflen) __asm__ ("" "ptsname_r") __attribute__ ((__nothrow__))

     __attribute__ ((__nonnull__ (2)));
extern int __ptsname_r_chk_warn (int __fd, char *__buf, size_t __buflen, size_t __nreal) __asm__ ("" "__ptsname_r_chk") __attribute__ ((__nothrow__))


     __attribute__ ((__nonnull__ (2))) __attribute__((__warning__ ("ptsname_r called with buflen bigger than " "size of buf")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__nothrow__)) ptsname_r (int __fd, char *__buf, size_t __buflen)
{
  if (__builtin_object_size (__buf, 2 > 1) != (size_t) -1)
    {
      if (!__builtin_constant_p (__buflen))
 return __ptsname_r_chk (__fd, __buf, __buflen, __builtin_object_size (__buf, 2 > 1));
      if (__buflen > __builtin_object_size (__buf, 2 > 1))
 return __ptsname_r_chk_warn (__fd, __buf, __buflen, __builtin_object_size (__buf, 2 > 1));
    }
  return __ptsname_r_alias (__fd, __buf, __buflen);
}


extern int __wctomb_chk (char *__s, wchar_t __wchar, size_t __buflen)
  __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));
extern int __wctomb_alias (char *__s, wchar_t __wchar) __asm__ ("" "wctomb") __attribute__ ((__nothrow__)) __attribute__ ((__warn_unused_result__));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) int
__attribute__ ((__nothrow__)) wctomb (char *__s, wchar_t __wchar)
{







  if (__builtin_object_size (__s, 2 > 1) != (size_t) -1 && 16 > __builtin_object_size (__s, 2 > 1))
    return __wctomb_chk (__s, __wchar, __builtin_object_size (__s, 2 > 1));
  return __wctomb_alias (__s, __wchar);
}


extern size_t __mbstowcs_chk (wchar_t *__restrict __dst,
         __const char *__restrict __src,
         size_t __len, size_t __dstlen) __attribute__ ((__nothrow__));
extern size_t __mbstowcs_alias (wchar_t *__restrict __dst, __const char *__restrict __src, size_t __len) __asm__ ("" "mbstowcs") __attribute__ ((__nothrow__));



extern size_t __mbstowcs_chk_warn (wchar_t *__restrict __dst, __const char *__restrict __src, size_t __len, size_t __dstlen) __asm__ ("" "__mbstowcs_chk") __attribute__ ((__nothrow__))



     __attribute__((__warning__ ("mbstowcs called with dst buffer smaller than len " "* sizeof (wchar_t)")));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__nothrow__)) mbstowcs (wchar_t *__restrict __dst, __const char *__restrict __src, size_t __len)

{
  if (__builtin_object_size (__dst, 2 > 1) != (size_t) -1)
    {
      if (!__builtin_constant_p (__len))
 return __mbstowcs_chk (__dst, __src, __len,
          __builtin_object_size (__dst, 2 > 1) / sizeof (wchar_t));

      if (__len > __builtin_object_size (__dst, 2 > 1) / sizeof (wchar_t))
 return __mbstowcs_chk_warn (__dst, __src, __len,
         __builtin_object_size (__dst, 2 > 1) / sizeof (wchar_t));
    }
  return __mbstowcs_alias (__dst, __src, __len);
}


extern size_t __wcstombs_chk (char *__restrict __dst,
         __const wchar_t *__restrict __src,
         size_t __len, size_t __dstlen) __attribute__ ((__nothrow__));
extern size_t __wcstombs_alias (char *__restrict __dst, __const wchar_t *__restrict __src, size_t __len) __asm__ ("" "wcstombs") __attribute__ ((__nothrow__));



extern size_t __wcstombs_chk_warn (char *__restrict __dst, __const wchar_t *__restrict __src, size_t __len, size_t __dstlen) __asm__ ("" "__wcstombs_chk") __attribute__ ((__nothrow__))



     __attribute__((__warning__ ("wcstombs called with dst buffer smaller than len")));

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__nothrow__)) wcstombs (char *__restrict __dst, __const wchar_t *__restrict __src, size_t __len)

{
  if (__builtin_object_size (__dst, 2 > 1) != (size_t) -1)
    {
      if (!__builtin_constant_p (__len))
 return __wcstombs_chk (__dst, __src, __len, __builtin_object_size (__dst, 2 > 1));
      if (__len > __builtin_object_size (__dst, 2 > 1))
 return __wcstombs_chk_warn (__dst, __src, __len, __builtin_object_size (__dst, 2 > 1));
    }
  return __wcstombs_alias (__dst, __src, __len);
}
# 904 "/usr/include/stdlib.h" 2 3 4
# 912 "/usr/include/stdlib.h" 3 4

# 315 "./../include/my_global.h" 2


# 1 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 1 3 4
# 152 "/usr/lib/gcc/powerpc64-unknown-linux-gnu/4.3.4/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 318 "./../include/my_global.h" 2


# 1 "/usr/include/math.h" 1 3 4
# 30 "/usr/include/math.h" 3 4




# 1 "/usr/include/bits/huge_val.h" 1 3 4
# 35 "/usr/include/math.h" 2 3 4

# 1 "/usr/include/bits/huge_valf.h" 1 3 4
# 37 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/bits/huge_vall.h" 1 3 4
# 38 "/usr/include/math.h" 2 3 4


# 1 "/usr/include/bits/inf.h" 1 3 4
# 41 "/usr/include/math.h" 2 3 4


# 1 "/usr/include/bits/nan.h" 1 3 4
# 44 "/usr/include/math.h" 2 3 4



# 1 "/usr/include/bits/mathdef.h" 1 3 4
# 38 "/usr/include/bits/mathdef.h" 3 4
typedef float float_t;

typedef double double_t;
# 48 "/usr/include/math.h" 2 3 4
# 71 "/usr/include/math.h" 3 4
# 1 "/usr/include/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/bits/mathcalls.h" 3 4


extern double acos (double __x) __attribute__ ((__nothrow__)); extern double __acos (double __x) __attribute__ ((__nothrow__));

extern double asin (double __x) __attribute__ ((__nothrow__)); extern double __asin (double __x) __attribute__ ((__nothrow__));

extern double atan (double __x) __attribute__ ((__nothrow__)); extern double __atan (double __x) __attribute__ ((__nothrow__));

extern double atan2 (double __y, double __x) __attribute__ ((__nothrow__)); extern double __atan2 (double __y, double __x) __attribute__ ((__nothrow__));


extern double cos (double __x) __attribute__ ((__nothrow__)); extern double __cos (double __x) __attribute__ ((__nothrow__));

extern double sin (double __x) __attribute__ ((__nothrow__)); extern double __sin (double __x) __attribute__ ((__nothrow__));

extern double tan (double __x) __attribute__ ((__nothrow__)); extern double __tan (double __x) __attribute__ ((__nothrow__));




extern double cosh (double __x) __attribute__ ((__nothrow__)); extern double __cosh (double __x) __attribute__ ((__nothrow__));

extern double sinh (double __x) __attribute__ ((__nothrow__)); extern double __sinh (double __x) __attribute__ ((__nothrow__));

extern double tanh (double __x) __attribute__ ((__nothrow__)); extern double __tanh (double __x) __attribute__ ((__nothrow__));




extern void sincos (double __x, double *__sinx, double *__cosx) __attribute__ ((__nothrow__)); extern void __sincos (double __x, double *__sinx, double *__cosx) __attribute__ ((__nothrow__));






extern double acosh (double __x) __attribute__ ((__nothrow__)); extern double __acosh (double __x) __attribute__ ((__nothrow__));

extern double asinh (double __x) __attribute__ ((__nothrow__)); extern double __asinh (double __x) __attribute__ ((__nothrow__));

extern double atanh (double __x) __attribute__ ((__nothrow__)); extern double __atanh (double __x) __attribute__ ((__nothrow__));







extern double exp (double __x) __attribute__ ((__nothrow__)); extern double __exp (double __x) __attribute__ ((__nothrow__));


extern double frexp (double __x, int *__exponent) __attribute__ ((__nothrow__)); extern double __frexp (double __x, int *__exponent) __attribute__ ((__nothrow__));


extern double ldexp (double __x, int __exponent) __attribute__ ((__nothrow__)); extern double __ldexp (double __x, int __exponent) __attribute__ ((__nothrow__));


extern double log (double __x) __attribute__ ((__nothrow__)); extern double __log (double __x) __attribute__ ((__nothrow__));


extern double log10 (double __x) __attribute__ ((__nothrow__)); extern double __log10 (double __x) __attribute__ ((__nothrow__));


extern double modf (double __x, double *__iptr) __attribute__ ((__nothrow__)); extern double __modf (double __x, double *__iptr) __attribute__ ((__nothrow__));




extern double exp10 (double __x) __attribute__ ((__nothrow__)); extern double __exp10 (double __x) __attribute__ ((__nothrow__));

extern double pow10 (double __x) __attribute__ ((__nothrow__)); extern double __pow10 (double __x) __attribute__ ((__nothrow__));





extern double expm1 (double __x) __attribute__ ((__nothrow__)); extern double __expm1 (double __x) __attribute__ ((__nothrow__));


extern double log1p (double __x) __attribute__ ((__nothrow__)); extern double __log1p (double __x) __attribute__ ((__nothrow__));


extern double logb (double __x) __attribute__ ((__nothrow__)); extern double __logb (double __x) __attribute__ ((__nothrow__));






extern double exp2 (double __x) __attribute__ ((__nothrow__)); extern double __exp2 (double __x) __attribute__ ((__nothrow__));


extern double log2 (double __x) __attribute__ ((__nothrow__)); extern double __log2 (double __x) __attribute__ ((__nothrow__));








extern double pow (double __x, double __y) __attribute__ ((__nothrow__)); extern double __pow (double __x, double __y) __attribute__ ((__nothrow__));


extern double sqrt (double __x) __attribute__ ((__nothrow__)); extern double __sqrt (double __x) __attribute__ ((__nothrow__));





extern double hypot (double __x, double __y) __attribute__ ((__nothrow__)); extern double __hypot (double __x, double __y) __attribute__ ((__nothrow__));






extern double cbrt (double __x) __attribute__ ((__nothrow__)); extern double __cbrt (double __x) __attribute__ ((__nothrow__));








extern double ceil (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __ceil (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern double fabs (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __fabs (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern double floor (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __floor (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern double fmod (double __x, double __y) __attribute__ ((__nothrow__)); extern double __fmod (double __x, double __y) __attribute__ ((__nothrow__));




extern int __isinf (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern int __finite (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));





extern int isinf (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern int finite (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern double drem (double __x, double __y) __attribute__ ((__nothrow__)); extern double __drem (double __x, double __y) __attribute__ ((__nothrow__));



extern double significand (double __x) __attribute__ ((__nothrow__)); extern double __significand (double __x) __attribute__ ((__nothrow__));





extern double copysign (double __x, double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __copysign (double __x, double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));






extern double nan (__const char *__tagb) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __nan (__const char *__tagb) __attribute__ ((__nothrow__)) __attribute__ ((__const__));





extern int __isnan (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern int isnan (double __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern double j0 (double) __attribute__ ((__nothrow__)); extern double __j0 (double) __attribute__ ((__nothrow__));
extern double j1 (double) __attribute__ ((__nothrow__)); extern double __j1 (double) __attribute__ ((__nothrow__));
extern double jn (int, double) __attribute__ ((__nothrow__)); extern double __jn (int, double) __attribute__ ((__nothrow__));
extern double y0 (double) __attribute__ ((__nothrow__)); extern double __y0 (double) __attribute__ ((__nothrow__));
extern double y1 (double) __attribute__ ((__nothrow__)); extern double __y1 (double) __attribute__ ((__nothrow__));
extern double yn (int, double) __attribute__ ((__nothrow__)); extern double __yn (int, double) __attribute__ ((__nothrow__));






extern double erf (double) __attribute__ ((__nothrow__)); extern double __erf (double) __attribute__ ((__nothrow__));
extern double erfc (double) __attribute__ ((__nothrow__)); extern double __erfc (double) __attribute__ ((__nothrow__));
extern double lgamma (double) __attribute__ ((__nothrow__)); extern double __lgamma (double) __attribute__ ((__nothrow__));






extern double tgamma (double) __attribute__ ((__nothrow__)); extern double __tgamma (double) __attribute__ ((__nothrow__));





extern double gamma (double) __attribute__ ((__nothrow__)); extern double __gamma (double) __attribute__ ((__nothrow__));






extern double lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__)); extern double __lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__));







extern double rint (double __x) __attribute__ ((__nothrow__)); extern double __rint (double __x) __attribute__ ((__nothrow__));


extern double nextafter (double __x, double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __nextafter (double __x, double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));

extern double nexttoward (double __x, long double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __nexttoward (double __x, long double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern double remainder (double __x, double __y) __attribute__ ((__nothrow__)); extern double __remainder (double __x, double __y) __attribute__ ((__nothrow__));



extern double scalbn (double __x, int __n) __attribute__ ((__nothrow__)); extern double __scalbn (double __x, int __n) __attribute__ ((__nothrow__));



extern int ilogb (double __x) __attribute__ ((__nothrow__)); extern int __ilogb (double __x) __attribute__ ((__nothrow__));




extern double scalbln (double __x, long int __n) __attribute__ ((__nothrow__)); extern double __scalbln (double __x, long int __n) __attribute__ ((__nothrow__));



extern double nearbyint (double __x) __attribute__ ((__nothrow__)); extern double __nearbyint (double __x) __attribute__ ((__nothrow__));



extern double round (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __round (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern double trunc (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern double __trunc (double __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));




extern double remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__)); extern double __remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__));






extern long int lrint (double __x) __attribute__ ((__nothrow__)); extern long int __lrint (double __x) __attribute__ ((__nothrow__));
extern long long int llrint (double __x) __attribute__ ((__nothrow__)); extern long long int __llrint (double __x) __attribute__ ((__nothrow__));



extern long int lround (double __x) __attribute__ ((__nothrow__)); extern long int __lround (double __x) __attribute__ ((__nothrow__));
extern long long int llround (double __x) __attribute__ ((__nothrow__)); extern long long int __llround (double __x) __attribute__ ((__nothrow__));



extern double fdim (double __x, double __y) __attribute__ ((__nothrow__)); extern double __fdim (double __x, double __y) __attribute__ ((__nothrow__));


extern double fmax (double __x, double __y) __attribute__ ((__nothrow__)); extern double __fmax (double __x, double __y) __attribute__ ((__nothrow__));


extern double fmin (double __x, double __y) __attribute__ ((__nothrow__)); extern double __fmin (double __x, double __y) __attribute__ ((__nothrow__));



extern int __fpclassify (double __value) __attribute__ ((__nothrow__))
     __attribute__ ((__const__));


extern int __signbit (double __value) __attribute__ ((__nothrow__))
     __attribute__ ((__const__));



extern double fma (double __x, double __y, double __z) __attribute__ ((__nothrow__)); extern double __fma (double __x, double __y, double __z) __attribute__ ((__nothrow__));








extern double scalb (double __x, double __n) __attribute__ ((__nothrow__)); extern double __scalb (double __x, double __n) __attribute__ ((__nothrow__));
# 72 "/usr/include/math.h" 2 3 4
# 94 "/usr/include/math.h" 3 4
# 1 "/usr/include/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/bits/mathcalls.h" 3 4


extern float acosf (float __x) __attribute__ ((__nothrow__)); extern float __acosf (float __x) __attribute__ ((__nothrow__));

extern float asinf (float __x) __attribute__ ((__nothrow__)); extern float __asinf (float __x) __attribute__ ((__nothrow__));

extern float atanf (float __x) __attribute__ ((__nothrow__)); extern float __atanf (float __x) __attribute__ ((__nothrow__));

extern float atan2f (float __y, float __x) __attribute__ ((__nothrow__)); extern float __atan2f (float __y, float __x) __attribute__ ((__nothrow__));


extern float cosf (float __x) __attribute__ ((__nothrow__)); extern float __cosf (float __x) __attribute__ ((__nothrow__));

extern float sinf (float __x) __attribute__ ((__nothrow__)); extern float __sinf (float __x) __attribute__ ((__nothrow__));

extern float tanf (float __x) __attribute__ ((__nothrow__)); extern float __tanf (float __x) __attribute__ ((__nothrow__));




extern float coshf (float __x) __attribute__ ((__nothrow__)); extern float __coshf (float __x) __attribute__ ((__nothrow__));

extern float sinhf (float __x) __attribute__ ((__nothrow__)); extern float __sinhf (float __x) __attribute__ ((__nothrow__));

extern float tanhf (float __x) __attribute__ ((__nothrow__)); extern float __tanhf (float __x) __attribute__ ((__nothrow__));




extern void sincosf (float __x, float *__sinx, float *__cosx) __attribute__ ((__nothrow__)); extern void __sincosf (float __x, float *__sinx, float *__cosx) __attribute__ ((__nothrow__));






extern float acoshf (float __x) __attribute__ ((__nothrow__)); extern float __acoshf (float __x) __attribute__ ((__nothrow__));

extern float asinhf (float __x) __attribute__ ((__nothrow__)); extern float __asinhf (float __x) __attribute__ ((__nothrow__));

extern float atanhf (float __x) __attribute__ ((__nothrow__)); extern float __atanhf (float __x) __attribute__ ((__nothrow__));







extern float expf (float __x) __attribute__ ((__nothrow__)); extern float __expf (float __x) __attribute__ ((__nothrow__));


extern float frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__)); extern float __frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__));


extern float ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__)); extern float __ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__));


extern float logf (float __x) __attribute__ ((__nothrow__)); extern float __logf (float __x) __attribute__ ((__nothrow__));


extern float log10f (float __x) __attribute__ ((__nothrow__)); extern float __log10f (float __x) __attribute__ ((__nothrow__));


extern float modff (float __x, float *__iptr) __attribute__ ((__nothrow__)); extern float __modff (float __x, float *__iptr) __attribute__ ((__nothrow__));




extern float exp10f (float __x) __attribute__ ((__nothrow__)); extern float __exp10f (float __x) __attribute__ ((__nothrow__));

extern float pow10f (float __x) __attribute__ ((__nothrow__)); extern float __pow10f (float __x) __attribute__ ((__nothrow__));





extern float expm1f (float __x) __attribute__ ((__nothrow__)); extern float __expm1f (float __x) __attribute__ ((__nothrow__));


extern float log1pf (float __x) __attribute__ ((__nothrow__)); extern float __log1pf (float __x) __attribute__ ((__nothrow__));


extern float logbf (float __x) __attribute__ ((__nothrow__)); extern float __logbf (float __x) __attribute__ ((__nothrow__));






extern float exp2f (float __x) __attribute__ ((__nothrow__)); extern float __exp2f (float __x) __attribute__ ((__nothrow__));


extern float log2f (float __x) __attribute__ ((__nothrow__)); extern float __log2f (float __x) __attribute__ ((__nothrow__));








extern float powf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __powf (float __x, float __y) __attribute__ ((__nothrow__));


extern float sqrtf (float __x) __attribute__ ((__nothrow__)); extern float __sqrtf (float __x) __attribute__ ((__nothrow__));





extern float hypotf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __hypotf (float __x, float __y) __attribute__ ((__nothrow__));






extern float cbrtf (float __x) __attribute__ ((__nothrow__)); extern float __cbrtf (float __x) __attribute__ ((__nothrow__));








extern float ceilf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __ceilf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern float fabsf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __fabsf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern float floorf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __floorf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern float fmodf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __fmodf (float __x, float __y) __attribute__ ((__nothrow__));




extern int __isinff (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern int __finitef (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));





extern int isinff (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern int finitef (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern float dremf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __dremf (float __x, float __y) __attribute__ ((__nothrow__));



extern float significandf (float __x) __attribute__ ((__nothrow__)); extern float __significandf (float __x) __attribute__ ((__nothrow__));





extern float copysignf (float __x, float __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));






extern float nanf (__const char *__tagb) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __nanf (__const char *__tagb) __attribute__ ((__nothrow__)) __attribute__ ((__const__));





extern int __isnanf (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern int isnanf (float __value) __attribute__ ((__nothrow__)) __attribute__ ((__const__));


extern float j0f (float) __attribute__ ((__nothrow__)); extern float __j0f (float) __attribute__ ((__nothrow__));
extern float j1f (float) __attribute__ ((__nothrow__)); extern float __j1f (float) __attribute__ ((__nothrow__));
extern float jnf (int, float) __attribute__ ((__nothrow__)); extern float __jnf (int, float) __attribute__ ((__nothrow__));
extern float y0f (float) __attribute__ ((__nothrow__)); extern float __y0f (float) __attribute__ ((__nothrow__));
extern float y1f (float) __attribute__ ((__nothrow__)); extern float __y1f (float) __attribute__ ((__nothrow__));
extern float ynf (int, float) __attribute__ ((__nothrow__)); extern float __ynf (int, float) __attribute__ ((__nothrow__));






extern float erff (float) __attribute__ ((__nothrow__)); extern float __erff (float) __attribute__ ((__nothrow__));
extern float erfcf (float) __attribute__ ((__nothrow__)); extern float __erfcf (float) __attribute__ ((__nothrow__));
extern float lgammaf (float) __attribute__ ((__nothrow__)); extern float __lgammaf (float) __attribute__ ((__nothrow__));






extern float tgammaf (float) __attribute__ ((__nothrow__)); extern float __tgammaf (float) __attribute__ ((__nothrow__));





extern float gammaf (float) __attribute__ ((__nothrow__)); extern float __gammaf (float) __attribute__ ((__nothrow__));






extern float lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__)); extern float __lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__));







extern float rintf (float __x) __attribute__ ((__nothrow__)); extern float __rintf (float __x) __attribute__ ((__nothrow__));


extern float nextafterf (float __x, float __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __nextafterf (float __x, float __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));

extern float nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern float remainderf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __remainderf (float __x, float __y) __attribute__ ((__nothrow__));



extern float scalbnf (float __x, int __n) __attribute__ ((__nothrow__)); extern float __scalbnf (float __x, int __n) __attribute__ ((__nothrow__));



extern int ilogbf (float __x) __attribute__ ((__nothrow__)); extern int __ilogbf (float __x) __attribute__ ((__nothrow__));




extern float scalblnf (float __x, long int __n) __attribute__ ((__nothrow__)); extern float __scalblnf (float __x, long int __n) __attribute__ ((__nothrow__));



extern float nearbyintf (float __x) __attribute__ ((__nothrow__)); extern float __nearbyintf (float __x) __attribute__ ((__nothrow__));



extern float roundf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __roundf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));



extern float truncf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__)); extern float __truncf (float __x) __attribute__ ((__nothrow__)) __attribute__ ((__const__));




extern float remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__)); extern float __remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__));






extern long int lrintf (float __x) __attribute__ ((__nothrow__)); extern long int __lrintf (float __x) __attribute__ ((__nothrow__));
extern long long int llrintf (float __x) __attribute__ ((__nothrow__)); extern long long int __llrintf (float __x) __attribute__ ((__nothrow__));



extern long int lroundf (float __x) __attribute__ ((__nothrow__)); extern long int __lroundf (float __x) __attribute__ ((__nothrow__));
extern long long int llroundf (float __x) __attribute__ ((__nothrow__)); extern long long int __llroundf (float __x) __attribute__ ((__nothrow__));



extern float fdimf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __fdimf (float __x, float __y) __attribute__ ((__nothrow__));


extern float fmaxf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __fmaxf (float __x, float __y) __attribute__ ((__nothrow__));


extern float fminf (float __x, float __y) __attribute__ ((__nothrow__)); extern float __fminf (float __x, float __y) __attribute__ ((__nothrow__));



extern int __fpclassifyf (float __value) __attribute__ ((__nothrow__))
     __attribute__ ((__const__));


extern int __signbitf (float __value) __attribute__ ((__nothrow__))
     __attribute__ ((__const__));



extern float fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__)); extern float __fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__));