c++/5367: -pedantic switch causes template compilation to fail

leonid_d@mail.ru leonid_d@mail.ru
Sun Jan 13 04:06:00 GMT 2002


>Number:         5367
>Category:       c++
>Synopsis:       -pedantic switch causes template compilation to fail
>Confidential:   no
>Severity:       serious
>Priority:       medium
>Responsible:    unassigned
>State:          open
>Class:          sw-bug
>Submitter-Id:   net
>Arrival-Date:   Sun Jan 13 04:06:00 PST 2002
>Closed-Date:
>Last-Modified:
>Originator:     Leonid Dubinsky
>Release:        gcc version 2.95.3 [FreeBSD] 20010315 (release)
>Organization:
>Environment:
FreeBSD 4.3-RELEASE, running on dual-Pentium PC
>Description:
When compiling the attached code with "-pedantic", the typedef of stl map iterator inside of template cannot be parrsed and produces error.
Compilation without "-pedantic" works fine.
>How-To-Repeat:
g++ -pedantic test.ii
>Fix:

>Release-Note:
>Audit-Trail:
>Unformatted:
----gnatsweb-attachment----
Content-Type: text/plain; name="test.ii"
Content-Disposition: inline; filename="test.ii"

# 1 "test.cpp"
# 1 "/usr/include/g++/map" 1 3
 





























# 1 "/usr/include/g++/stl_tree.h" 1 3
 



























 






 



















# 1 "/usr/include/g++/stl_algobase.h" 1 3
 

























 








# 1 "/usr/include/g++/stl_config.h" 1 3
 




























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


 
 
 
 
 
 
 
 
 
 
 


 

 
 
 
 
 
 
 








# 148 "/usr/include/g++/stl_config.h" 3



# 1 "/usr/include/g++/_G_config.h" 1 3
 

 

  















typedef          int   _G_int8_t __attribute__((__mode__(__QI__)));
typedef unsigned int  _G_uint8_t __attribute__((__mode__(__QI__)));
typedef          int  _G_int16_t __attribute__((__mode__(__HI__)));
typedef unsigned int _G_uint16_t __attribute__((__mode__(__HI__)));
typedef          int  _G_int32_t __attribute__((__mode__(__SI__)));
typedef unsigned int _G_uint32_t __attribute__((__mode__(__SI__)));
typedef          int  _G_int64_t __attribute__((__mode__(__DI__)));
typedef unsigned int _G_uint64_t __attribute__((__mode__(__DI__)));

__extension__ typedef long long _G_llong;
__extension__ typedef unsigned long long _G_ullong;








typedef unsigned long _G_clock_t;
typedef unsigned int _G_dev_t;
typedef int __attribute__((__mode__(__DI__))) _G_fpos_t;
typedef unsigned int _G_gid_t;
typedef unsigned int _G_ino_t;
typedef unsigned short _G_mode_t;
typedef unsigned short _G_nlink_t;
typedef int __attribute__((__mode__(__DI__))) _G_off_t;
typedef int _G_pid_t;



typedef int _G_ptrdiff_t;
typedef unsigned int _G_sigset_t;



typedef unsigned int _G_size_t;
typedef long _G_time_t;
typedef unsigned int _G_uid_t;
typedef int _G_wchar_t;















typedef int _G_ssize_t;
typedef int   _G_wint_t;

typedef char * _G_va_list;



















 	 

# 1 "/usr/include/stddef.h" 1 3
 







































# 1 "/usr/include/machine/ansi.h" 1 3
 






































 



















 










 











 












 




 







typedef	int __attribute__((__mode__(__DI__)))		 __int64_t;
typedef	unsigned int __attribute__((__mode__(__DI__)))	__uint64_t;






 



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

typedef	int			 __intptr_t;
typedef	unsigned int		__uintptr_t;


# 41 "/usr/include/stddef.h" 2 3


typedef	int 	ptrdiff_t;



typedef	int  	rune_t;





typedef	unsigned int 	size_t;




typedef	int  	wchar_t;










# 101 "/usr/include/g++/_G_config.h" 2 3


# 151 "/usr/include/g++/stl_config.h" 2 3

















# 178 "/usr/include/g++/stl_config.h" 3
































# 234 "/usr/include/g++/stl_config.h" 3


# 248 "/usr/include/g++/stl_config.h" 3



































 
 
 
 


















 
 
# 316 "/usr/include/g++/stl_config.h" 3






































 
 
 
# 36 "/usr/include/g++/stl_algobase.h" 2 3



# 1 "/usr/include/g++/stl_relops.h" 1 3
 

























 






 

template <class _Tp>
inline bool operator!=(const _Tp& __x, const _Tp& __y) {
  return !(__x == __y);
}

template <class _Tp>
inline bool operator>(const _Tp& __x, const _Tp& __y) {
  return __y < __x;
}

template <class _Tp>
inline bool operator<=(const _Tp& __x, const _Tp& __y) {
  return !(__y < __x);
}

template <class _Tp>
inline bool operator>=(const _Tp& __x, const _Tp& __y) {
  return !(__x < __y);
}

 



 
 
 
# 39 "/usr/include/g++/stl_algobase.h" 2 3



# 1 "/usr/include/g++/stl_pair.h" 1 3
 

























 






 

template <class _T1, class _T2>
struct pair {
  typedef _T1 first_type;
  typedef _T2 second_type;

  _T1 first;
  _T2 second;
  pair() : first(_T1()), second(_T2()) {}
  pair(const _T1& __a, const _T2& __b) : first(__a), second(__b) {}


  template <class _U1, class _U2>
  pair(const pair<_U1, _U2>& __p) : first(__p.first), second(__p.second) {}

};

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

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

template <class _T1, class _T2>
inline pair<_T1, _T2> make_pair(const _T1& __x, const _T2& __y)
{
  return pair<_T1, _T2>(__x, __y);
}

 



 
 
 
# 42 "/usr/include/g++/stl_algobase.h" 2 3



# 1 "/usr/include/g++/type_traits.h" 1 3
 




















 
































struct __true_type {
};

struct __false_type {
};

template <class _Tp>
struct __type_traits { 
   typedef __true_type     this_dummy_member_must_be_first;
                    





    








 

   typedef __false_type    has_trivial_default_constructor;
   typedef __false_type    has_trivial_copy_constructor;
   typedef __false_type    has_trivial_assignment_operator;
   typedef __false_type    has_trivial_destructor;
   typedef __false_type    is_POD_type;
};



 
 
 



template<>  struct __type_traits<bool> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template<>  struct __type_traits<char> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<signed char> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<unsigned char> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template<>  struct __type_traits<wchar_t> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template<>  struct __type_traits<short> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<unsigned short> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<int> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<unsigned int> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<long> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<unsigned long> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template<>  struct __type_traits<long long> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<unsigned long long> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template<>  struct __type_traits<float> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<double> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

template<>  struct __type_traits<long double> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};



template <class _Tp>
struct __type_traits<_Tp*> {
   typedef __true_type    has_trivial_default_constructor;
   typedef __true_type    has_trivial_copy_constructor;
   typedef __true_type    has_trivial_assignment_operator;
   typedef __true_type    has_trivial_destructor;
   typedef __true_type    is_POD_type;
};

# 295 "/usr/include/g++/type_traits.h" 3



 
 

template <class _Tp> struct _Is_integer {
  typedef __false_type _Integral;
};



template<>  struct _Is_integer<bool> {
  typedef __true_type _Integral;
};



template<>  struct _Is_integer<char> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<signed char> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<unsigned char> {
  typedef __true_type _Integral;
};



template<>  struct _Is_integer<wchar_t> {
  typedef __true_type _Integral;
};



template<>  struct _Is_integer<short> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<unsigned short> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<int> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<unsigned int> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<long> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<unsigned long> {
  typedef __true_type _Integral;
};



template<>  struct _Is_integer<long long> {
  typedef __true_type _Integral;
};

template<>  struct _Is_integer<unsigned long long> {
  typedef __true_type _Integral;
};





 
 
 
# 45 "/usr/include/g++/stl_algobase.h" 2 3



# 1 "/usr/include/string.h" 1 3
 















































# 1 "/usr/include/sys/cdefs.h" 1 3
 

















































 





























# 106 "/usr/include/sys/cdefs.h" 3


 






















 















 



















# 175 "/usr/include/sys/cdefs.h" 3

# 192 "/usr/include/sys/cdefs.h" 3






















# 49 "/usr/include/string.h" 2 3


extern "C" { 
void	*memchr  (const void *, int, size_t)  ;
int	 memcmp  (const void *, const void *, size_t)  ;
void	*memcpy  (void *, const void *, size_t)  ;
void	*memmove  (void *, const void *, size_t)  ;
void	*memset  (void *, int, size_t)  ;
char	*strcat  (char *, const char *)  ;
char	*strchr  (const char *, int)  ;
int	 strcmp  (const char *, const char *)  ;
int	 strcoll  (const char *, const char *)  ;
char	*strcpy  (char *, const char *)  ;
size_t	 strcspn  (const char *, const char *)  ;
char	*strerror  (int)  ;
size_t	 strlen  (const char *)  ;
char	*strncat  (char *, const char *, size_t)  ;
int	 strncmp  (const char *, const char *, size_t)  ;
char	*strncpy  (char *, const char *, size_t)  ;
char	*strpbrk  (const char *, const char *)  ;
char	*strrchr  (const char *, int)  ;
size_t	 strspn  (const char *, const char *)  ;
char	*strstr  (const char *, const char *)  ;
char	*strtok  (char *, const char *)  ;
size_t	 strxfrm  (char *, const char *, size_t)  ;

 

int	 bcmp  (const void *, const void *, size_t)  ;
void	 bcopy  (const void *, void *, size_t)  ;
void	 bzero  (void *, size_t)  ;
int	 ffs  (int)  ;
char	*index  (const char *, int)  ;
void	*memccpy  (void *, const void *, int, size_t)  ;
char	*rindex  (const char *, int)  ;
int	 strcasecmp  (const char *, const char *)  ;
char	*strdup  (const char *)  ;
size_t	 strlcat  (char *, const char *, size_t)  ;
size_t   strlcpy  (char *, const char *, size_t)  ;
void	 strmode  (int, char *)  ;
int	 strncasecmp  (const char *, const char *, size_t)  ;
char	*strsep  (char **, const char *)  ;
char	*strsignal  (int)  ;
char	*strtok_r  (char *, const char *, char **)  ;
void	 swab  (const void *, void *, size_t)  ;

} 


# 48 "/usr/include/g++/stl_algobase.h" 2 3

# 1 "/usr/include/limits.h" 1 3
 





































# 1 "/usr/include/sys/_posix.h" 1 3



 




























 








# 70 "/usr/include/sys/_posix.h" 3


 





 



















# 39 "/usr/include/limits.h" 2 3























































# 1 "/usr/include/machine/limits.h" 1 3
 









































 






























 










			 










 








# 94 "/usr/include/limits.h" 2 3


# 1 "/usr/include/sys/syslimits.h" 1 3
 































































# 96 "/usr/include/limits.h" 2 3




# 49 "/usr/include/g++/stl_algobase.h" 2 3

# 1 "/usr/include/stdlib.h" 1 3
 



























































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

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










extern int __mb_cur_max;


extern "C" { 
void	 abort  (void)   __attribute__((__noreturn__)) ;
int	 abs  (int)   __attribute__((__const__)) ;
int	 atexit  (void (*)(void))  ;
double	 atof  (const char *)  ;
int	 atoi  (const char *)  ;
long	 atol  (const char *)  ;
void	*bsearch  (const void *, const void *, size_t,
	    size_t, int (*)(const void *, const void *))  ;
void	*calloc  (size_t, size_t)  ;
div_t	 div  (int, int)   __attribute__((__const__)) ;
void	 exit  (int)   __attribute__((__noreturn__)) ;
void	 free  (void *)  ;
char	*getenv  (const char *)  ;
long	 labs  (long)   __attribute__((__const__)) ;
ldiv_t	 ldiv  (long, long)   __attribute__((__const__)) ;
void	*malloc  (size_t)  ;
void	 qsort  (void *, size_t, size_t,
	    int (*)(const void *, const void *))  ;
int	 rand  (void)  ;
void	*realloc  (void *, size_t)  ;
void	 srand  (unsigned)  ;
double	 strtod  (const char *, char **)  ;
long	 strtol  (const char *, char **, int)  ;
long long	 
	 strtoll  (const char *, char **, int)  ;
unsigned long
	 strtoul  (const char *, char **, int)  ;
unsigned long long
	 strtoull  (const char *, char **, int)  ;
int	 system  (const char *)  ;

int	 mblen  (const char *, size_t)  ;
size_t	 mbstowcs  (wchar_t *, const char *, size_t)  ;
int	 wctomb  (char *, wchar_t)  ;
int	 mbtowc  (wchar_t *, const char *, size_t)  ;
size_t	 wcstombs  (char *, const wchar_t *, size_t)  ;


int	 putenv  (const char *)  ;
int	 setenv  (const char *, const char *, int)  ;

double	 drand48  (void)  ;
double	 erand48  (unsigned short[3])  ;
long	 jrand48  (unsigned short[3])  ;
void	 lcong48  (unsigned short[7])  ;
long	 lrand48  (void)  ;
long	 mrand48  (void)  ;
long	 nrand48  (unsigned short[3])  ;
unsigned short
	*seed48  (unsigned short[3])  ;
void	 srand48  (long)  ;

void	*alloca  (size_t)  ;		 
					 
__uint32_t
	 arc4random  (void)  ;
void	 arc4random_addrandom  (unsigned char *dat, int datlen)  ;
void	 arc4random_stir  (void)  ;
char	*getbsize  (int *, long *)  ;
char	*cgetcap  (char *, char *, int)  ;
int	 cgetclose  (void)  ;
int	 cgetent  (char **, char **, char *)  ;
int	 cgetfirst  (char **, char **)  ;
int	 cgetmatch  (char *, char *)  ;
int	 cgetnext  (char **, char **)  ;
int	 cgetnum  (char *, char *, long *)  ;
int	 cgetset  (char *)  ;
int	 cgetstr  (char *, char *, char **)  ;
int	 cgetustr  (char *, char *, char **)  ;

int	 daemon  (int, int)  ;
char	*devname  (int, int)  ;
int	 getloadavg  (double [], int)  ;

char	*group_from_gid  (unsigned long, int)  ;
int	 heapsort  (void *, size_t, size_t,
	    int (*)(const void *, const void *))  ;
char	*initstate  (unsigned long, char *, long)  ;
int	 mergesort  (void *, size_t, size_t,
	    int (*)(const void *, const void *))  ;
int	 radixsort  (const unsigned char **, int, const unsigned char *,
	    unsigned)  ;
int	 sradixsort  (const unsigned char **, int, const unsigned char *,
	    unsigned)  ;
int	 rand_r  (unsigned *)  ;
long	 random  (void)  ;
void    *reallocf  (void *, size_t)  ;
char	*realpath  (const char *, char resolved_path[])  ;
char	*setstate  (char *)  ;
void	 srandom  (unsigned long)  ;
void	 srandomdev  (void)  ;
char	*user_from_uid  (unsigned long, int)  ;

__int64_t	 strtoq  (const char *, char **, int)  ;
__uint64_t
	 strtouq  (const char *, char **, int)  ;

void	 unsetenv  (const char *)  ;

} 


# 50 "/usr/include/g++/stl_algobase.h" 2 3


# 1 "/usr/include/g++/new.h" 1 3
 




# 1 "/usr/include/g++/new" 1 3
 
 




#pragma interface "new"

# 1 "/usr/include/g++/exception" 1 3
 
 




#pragma interface "exception"

extern "C++" {

namespace std {

class exception {
public:
  exception () { }
  virtual ~exception () { }
  virtual const char* what () const;
};

class bad_exception : public exception {
public:
  bad_exception () { }
  virtual ~bad_exception () { }
};

typedef void (*terminate_handler) ();
typedef void (*unexpected_handler) ();

terminate_handler set_terminate (terminate_handler);
void terminate () __attribute__ ((__noreturn__));
unexpected_handler set_unexpected (unexpected_handler);
void unexpected () __attribute__ ((__noreturn__));
bool uncaught_exception ();

}  

}  


# 9 "/usr/include/g++/new" 2 3


extern "C++" {

namespace std {

  class bad_alloc : public exception {
  public:
    virtual const char* what() const throw() { return "bad_alloc"; }
  };

  struct nothrow_t {};
  extern const nothrow_t nothrow;
  typedef void (*new_handler)();
  new_handler set_new_handler (new_handler);

}  

 
void *operator new (size_t) throw (std::bad_alloc);
void *operator new[] (size_t) throw (std::bad_alloc);
void operator delete (void *) throw();
void operator delete[] (void *) throw();
void *operator new (size_t, const std::nothrow_t&) throw();
void *operator new[] (size_t, const std::nothrow_t&) throw();
void operator delete (void *, const std::nothrow_t&) throw();
void operator delete[] (void *, const std::nothrow_t&) throw();

 
inline void *operator new(size_t, void *place) throw() { return place; }
inline void *operator new[](size_t, void *place) throw() { return place; }
}  


# 6 "/usr/include/g++/new.h" 2 3


using std::new_handler;
using std::set_new_handler;


# 52 "/usr/include/g++/stl_algobase.h" 2 3

# 1 "/usr/include/g++/iostream.h" 1 3
 

























#pragma interface



# 1 "/usr/include/g++/streambuf.h" 1 3
 


























#pragma interface


   



extern "C" {
# 1 "/usr/include/g++/libio.h" 1 3
 













































# 55 "/usr/include/g++/libio.h" 3


# 67 "/usr/include/g++/libio.h" 3










 















# 104 "/usr/include/g++/libio.h" 3











 

























 



















struct _IO_jump_t;  struct _IO_FILE;

 
# 175 "/usr/include/g++/libio.h" 3









    typedef void _IO_lock_t;





 

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

   
  int _pos;
# 208 "/usr/include/g++/libio.h" 3

};

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 _blksize;



  _G_off_t  _offset;



   
  unsigned short _cur_column;
  char _unused;
  char _shortbuf[1];

   








};











struct _IO_FILE_plus;
extern struct _IO_FILE_plus _IO_stdin_, _IO_stdout_, _IO_stderr_;





 
typedef struct
{
  _G_ssize_t  (*read)  (struct _IO_FILE *, void *, _G_ssize_t )  ;
  _G_ssize_t  (*write)  (struct _IO_FILE *, const void *, _G_ssize_t )  ;
  _G_off_t  (*seek)  (struct _IO_FILE *, _G_off_t , int)  ;
  int (*close)  (struct _IO_FILE *)  ;
} _IO_cookie_io_functions_t;

 
struct _IO_cookie_file
{
  struct _IO_FILE file;
  const void *vtable;
  void *cookie;
  _IO_cookie_io_functions_t io_functions;
};



extern "C" {


extern int __underflow  (_IO_FILE *)  ;
extern int __uflow  (_IO_FILE *)  ;
extern int __overflow  (_IO_FILE *, int)  ;

















extern int _IO_getc  (_IO_FILE *__fp)  ;
extern int _IO_putc  (int __c, _IO_FILE *__fp)  ;
extern int _IO_feof  (_IO_FILE *__fp)  ;
extern int _IO_ferror  (_IO_FILE *__fp)  ;

extern int _IO_peekc_locked  (_IO_FILE *__fp)  ;

 



extern void _IO_flockfile  (_IO_FILE *)  ;
extern void _IO_funlockfile  (_IO_FILE *)  ;
extern int _IO_ftrylockfile  (_IO_FILE *)  ;













extern int _IO_vfscanf  (_IO_FILE *, const char *, _G_va_list , int *)  ;
extern int _IO_vfprintf  (_IO_FILE *, const char *, _G_va_list )  ;
extern _G_ssize_t  _IO_padn  (_IO_FILE *, int, _G_ssize_t )  ;
extern _G_size_t  _IO_sgetn  (_IO_FILE *, void *, _G_size_t )  ;





extern _G_off_t  _IO_seekoff  (_IO_FILE *, _G_off_t , int, int)  ;
extern _G_off_t  _IO_seekpos  (_IO_FILE *, _G_off_t , int)  ;


extern void _IO_free_backup_area  (_IO_FILE *)  ;


}



# 36 "/usr/include/g++/streambuf.h" 2 3

}
 


























extern "C++" {
class istream;  
class ostream; class streambuf;

 







typedef _G_off_t  streamoff;
typedef _G_off_t  streampos;

typedef _G_ssize_t  streamsize;

typedef unsigned long __fmtflags;
typedef unsigned char __iostate;

struct _ios_fields
{  
    streambuf *_strbuf;
    ostream* _tie;
    int _width;
    __fmtflags _flags;
    short  _fill;
    __iostate _state;
    __iostate _exceptions;
    int _precision;

    void *_arrays;  
};















# 124 "/usr/include/g++/streambuf.h" 3


class ios : public _ios_fields {
  ios& operator=(ios&);   
  ios (const ios&);  
  public:
    typedef __fmtflags fmtflags;
    typedef int iostate;
    typedef int openmode;
    typedef _G_ssize_t  streamsize;
    enum io_state {
	goodbit = 0 ,
	eofbit = 1 ,
	failbit = 2 ,
	badbit = 4  };
    enum open_mode {
	in = 1 ,
	out = 2 ,
	ate = 4 ,
	app = 8 ,
	trunc = 16 ,
	nocreate = 32 ,
	noreplace = 64 ,
	bin = 128 ,  
	binary = 128  };
    enum seek_dir { beg, cur, end};
    typedef enum seek_dir seekdir;
     
    enum { skipws= 01 ,
	   left= 02 , right= 04 , internal= 010 ,
	   dec= 020 , oct= 040 , hex= 0100 ,
	   showbase= 0200 , showpoint= 0400 ,
	   uppercase= 01000 , showpos= 02000 ,
	   scientific= 04000 , fixed= 010000 ,
	   unitbuf= 020000 , stdio= 040000 



	   };
    enum {  
	basefield=dec+oct+hex,
	floatfield = scientific+fixed,
	adjustfield = left+right+internal
    };

# 177 "/usr/include/g++/streambuf.h" 3


    ostream* tie() const { return _tie; }
    ostream* tie(ostream* val) { ostream* save=_tie; _tie=val; return save; }

     
    short  fill() const { return _fill; }
    short  fill(short  newf)
	{short  oldf = _fill; _fill = newf; return oldf;}
    fmtflags flags() const { return _flags; }
    fmtflags flags(fmtflags new_val) {
	fmtflags old_val = _flags; _flags = new_val; return old_val; }
    int precision() const { return _precision; }
    int precision(int newp) {
	unsigned short oldp = _precision; _precision = (unsigned short)newp;
	return oldp; }
    fmtflags setf(fmtflags val) {
	fmtflags oldbits = _flags;
	_flags |= val; return oldbits; }
    fmtflags setf(fmtflags val, fmtflags mask) {
	fmtflags oldbits = _flags;
	_flags = (_flags & ~mask) | (val & mask); return oldbits; }
    fmtflags unsetf(fmtflags mask) {
	fmtflags oldbits = _flags;
	_flags &= ~mask; return oldbits; }
    int width() const { return _width; }
    int width(int val) { int save = _width; _width = val; return save; }




    void _throw_failure() const { }

    void clear(iostate state = 0) {
	_state = _strbuf ? state : state|badbit;
	if (_state & _exceptions) _throw_failure(); }
    void set(iostate flag) { _state |= flag;
	if (_state & _exceptions) _throw_failure(); }
    void setstate(iostate flag) { _state |= flag;  
	if (_state & _exceptions) _throw_failure(); }
    int good() const { return _state == 0; }
    int eof() const { return _state & ios::eofbit; }
    int fail() const { return _state & (ios::badbit|ios::failbit); }
    int bad() const { return _state & ios::badbit; }
    iostate rdstate() const { return _state; }
    operator void*() const { return fail() ? (void*)0 : (void*)(-1); }
    int operator!() const { return fail(); }
    iostate exceptions() const { return _exceptions; }
    void exceptions(iostate enable) {
	_exceptions = enable;
	if (_state & _exceptions) _throw_failure(); }

    streambuf* rdbuf() const { return _strbuf; }
    streambuf* rdbuf(streambuf *_s) {
      streambuf *_old = _strbuf; _strbuf = _s; clear (); return _old; }

    static int sync_with_stdio(int on);
    static void sync_with_stdio() { sync_with_stdio(1); }
    static fmtflags bitalloc();
    static int xalloc();
    void*& pword(int);
    void* pword(int) const;
    long& iword(int);
    long iword(int) const;









     
    class Init {
    public:
      Init () { }
    };

  protected:
    inline ios(streambuf* sb = 0, ostream* tie_to = 0);
    inline virtual ~ios();
    inline void init(streambuf* sb, ostream* tie = 0);
};




typedef ios::seek_dir _seek_dir;


 
 
 
 
 

 
 
class streammarker : private _IO_marker {
    friend class streambuf;
    void set_offset(int offset) { _pos = offset; }
  public:
    streammarker(streambuf *sb);
    ~streammarker();
    int saving() { return  1; }
    int delta(streammarker&);
    int delta();
};

struct streambuf : public _IO_FILE {  
    friend class ios;
    friend class istream;
    friend class ostream;
    friend class streammarker;
    const void *&_vtable() { return *(const void**)((_IO_FILE*)this + 1); }
  protected:
    static streambuf* _list_all;  
    _IO_FILE*& xchain() { return _chain; }
    void _un_link();
    void _link_in();
    char* gptr() const
      { return _flags  & 0x100  ? _IO_save_base : _IO_read_ptr; }
    char* pptr() const { return _IO_write_ptr; }
    char* egptr() const
      { return _flags  & 0x100  ? _IO_save_end : _IO_read_end; }
    char* epptr() const { return _IO_write_end; }
    char* pbase() const { return _IO_write_base; }
    char* eback() const
      { return _flags  & 0x100  ? _IO_save_base : _IO_read_base;}
    char* base() const { return _IO_buf_base; }
    char* ebuf() const { return _IO_buf_end; }
    int blen() const { return _IO_buf_end - _IO_buf_base; }
    void xput_char(char c) { *_IO_write_ptr++ = c; }
    int xflags() { return _flags ; }
    int xflags(int f) {int fl = _flags ; _flags  = f; return fl;}
    void xsetflags(int f) { _flags  |= f; }
    void xsetflags(int f, int mask)
      { _flags  = (_flags  & ~mask) | (f & mask); }
    void gbump(int n)
      { _flags  & 0x100  ? (_IO_save_base+=n):(_IO_read_ptr+=n);}
    void pbump(int n) { _IO_write_ptr += n; }
    void setb(char* b, char* eb, int a=0);
    void setp(char* p, char* ep)
      { _IO_write_base=_IO_write_ptr=p; _IO_write_end=ep; }
    void setg(char* eb, char* g, char *eg) {
      if (_flags  & 0x100 ) _IO_free_backup_area(this); 
      _IO_read_base = eb; _IO_read_ptr = g; _IO_read_end = eg; }
    char *shortbuf() { return _shortbuf; }

    int in_backup() { return _flags & 0x100 ; }
     
    char *Gbase() { return in_backup() ? _IO_save_base : _IO_read_base; }
     
    char *eGptr() { return in_backup() ? _IO_save_end : _IO_read_end; }
     
    char *Bbase() { return in_backup() ? _IO_read_base : _IO_save_base; }
    char *Bptr() { return _IO_backup_base; }
     
    char *eBptr() { return in_backup() ? _IO_read_end : _IO_save_end; }
    char *Nbase() { return _IO_save_base; }
    char *eNptr() { return _IO_save_end; }
    int have_backup() { return _IO_save_base != 0 ; }
    int have_markers() { return _markers != 0 ; }
    void free_backup_area();
    void unsave_markers();  
    int put_mode() { return _flags & 0x800 ; }
    int switch_to_get_mode();
    
    streambuf(int flags=0);
  public:
    static int flush_all();
    static void flush_all_linebuffered();  
    virtual ~streambuf();
    virtual int overflow(int c = (-1) );  
    virtual int underflow();  
    virtual int uflow();  
    virtual int pbackfail(int c);
 
    virtual streamsize xsputn(const char* s, streamsize n);
    virtual streamsize xsgetn(char* s, streamsize n);
    virtual streampos seekoff(streamoff, _seek_dir, int mode=ios::in|ios::out);
    virtual streampos seekpos(streampos pos, int mode = ios::in|ios::out);

    streampos pubseekoff(streamoff o, _seek_dir d, int mode=ios::in|ios::out)
      { return _IO_seekoff (this, o, d, mode); }
    streampos pubseekpos(streampos pos, int mode = ios::in|ios::out)
      { return _IO_seekpos (this, pos, mode); }
    streampos sseekoff(streamoff, _seek_dir, int mode=ios::in|ios::out);
    streampos sseekpos(streampos pos, int mode = ios::in|ios::out);
    virtual streambuf* setbuf(char* p, int len);
    virtual int sync();
    virtual int doallocate();

    int seekmark(streammarker& mark, int delta = 0);
    int sputbackc(char c);
    int sungetc();
    int unbuffered() { return _flags & 2  ? 1 : 0; }
    int linebuffered() { return _flags & 0x200  ? 1 : 0; }
    void unbuffered(int i)
	{ if (i) _flags |= 2 ; else _flags &= ~2 ; }
    void linebuffered(int i)
	{ if (i) _flags |= 0x200 ; else _flags &= ~0x200 ; }
    int allocate() {  
	if (base() || unbuffered()) return 0;
	else return doallocate(); }
     
    void allocbuf() { if (base() == 0 ) doallocbuf(); }
    void doallocbuf();
    int in_avail() { return _IO_read_end - _IO_read_ptr; }
    int out_waiting() { return _IO_write_ptr - _IO_write_base; }
    streamsize sputn(const char* s, streamsize n) { return xsputn(s, n); }
    streamsize padn(char pad, streamsize n) { return _IO_padn(this, pad, n); }
    streamsize sgetn(char* s, streamsize n) { return _IO_sgetn(this, s, n); }
    int ignore(int);
    int get_column();
    int set_column(int);
    long sgetline(char* buf, _G_size_t  n, char delim, int putback_delim);
    int sputc(int c) { return _IO_putc(c, this); }
    int sbumpc() { return _IO_getc(this); }
    int sgetc() { return ((  this  )->_IO_read_ptr >= (  this  )->_IO_read_end && __underflow (  this  ) == (-1)  ? (-1)  : *(unsigned char *) (  this  )->_IO_read_ptr)  ; }
    int snextc() {
	if (_IO_read_ptr >= _IO_read_end && __underflow(this) == (-1) )
	  return (-1) ;
	else return _IO_read_ptr++, sgetc(); }
    void stossc() { if (_IO_read_ptr < _IO_read_end) _IO_read_ptr++; }
    int vscan(char const *fmt0, _G_va_list  ap, ios* stream = 0 );
    int scan(char const *fmt0 ...);
    int vform(char const *fmt0, _G_va_list  ap);
    int form(char const *fmt0 ...);




    virtual streamsize sys_read(char* buf, streamsize size);
    virtual streamsize sys_write(const char*, streamsize);
    virtual streampos sys_seek(streamoff, _seek_dir);
    virtual int sys_close();
    virtual int sys_stat(void*);  




};

 
 

class filebuf : public streambuf {
  protected:
    void init();
  public:
    static const int openprot;  
    filebuf();
    filebuf(int fd);
    filebuf(int fd, char* p, int len);



    ~filebuf();
    filebuf* attach(int fd);
    filebuf* open(const char *filename, const char *mode);
    filebuf* open(const char *filename, ios::openmode mode, int prot = 0664);
    virtual int underflow();
    virtual int overflow(int c = (-1) );
    int is_open() const { return _fileno >= 0; }
    int fd() const { return is_open() ? _fileno : (-1) ; }
    filebuf* close();
    virtual int doallocate();
    virtual streampos seekoff(streamoff, _seek_dir, int mode=ios::in|ios::out);
    virtual streambuf* setbuf(char* p, int len);
    streamsize xsputn(const char* s, streamsize n);
    streamsize xsgetn(char* s, streamsize n);
    virtual int sync();
  protected:  
 
    int is_reading() { return eback() != egptr(); }
    char* cur_ptr() { return is_reading() ?  gptr() : pptr(); }
     
    char* file_ptr() { return eGptr(); }
     
    virtual streamsize sys_read(char* buf, streamsize size);
    virtual streampos sys_seek(streamoff, _seek_dir);
    virtual streamsize sys_write(const char*, streamsize);
    virtual int sys_stat(void*);  
    virtual int sys_close();




};

inline void ios::init(streambuf* sb, ostream* tie_to) {
		_state = sb ? ios::goodbit : ios::badbit; _exceptions=0;
		_strbuf=sb; _tie = tie_to; _width=0; _fill=' ';

		_flags=ios::skipws|ios::dec;



		_precision=6; _arrays = 0; }

inline ios::ios(streambuf* sb, ostream* tie_to) { init(sb, tie_to); }

inline ios::~ios() {



     
     
    operator delete[] (_arrays);
}
}  

# 31 "/usr/include/g++/iostream.h" 2 3


extern "C++" {
class istream; class ostream;
typedef ios& (*__manip)(ios&);
typedef istream& (*__imanip)(istream&);
typedef ostream& (*__omanip)(ostream&);

extern istream& ws(istream& ins);
extern ostream& flush(ostream& outs);
extern ostream& endl(ostream& outs);
extern ostream& ends(ostream& outs);

class ostream : virtual public ios
{
     
    void do_osfx();
  public:
    ostream() { }
    ostream(streambuf* sb, ostream* tied= 0 );
    int opfx() {
	if (!good()) return 0;
	else { if (_tie) _tie->flush();  ; return 1;} }
    void osfx() {  ;
		  if (flags() & (ios::unitbuf|ios::stdio))
		      do_osfx(); }
    ostream& flush();
    ostream& put(char c) { _strbuf->sputc(c); return *this; }





    ostream& write(const char *s, streamsize n);
    ostream& write(const unsigned char *s, streamsize n)
      { return write((const char*)s, n);}
    ostream& write(const signed char *s, streamsize n)
      { return write((const char*)s, n);}
    ostream& write(const void *s, streamsize n)
      { return write((const char*)s, n);}
    ostream& seekp(streampos);
    ostream& seekp(streamoff, _seek_dir);
    streampos tellp();
    ostream& form(const char *format ...);
    ostream& vform(const char *format, _G_va_list  args);

    ostream& operator<<(char c);
    ostream& operator<<(unsigned char c) { return (*this) << (char)c; }
    ostream& operator<<(signed char c) { return (*this) << (char)c; }
    ostream& operator<<(const char *s);
    ostream& operator<<(const unsigned char *s)
	{ return (*this) << (const char*)s; }
    ostream& operator<<(const signed char *s)
	{ return (*this) << (const char*)s; }
    ostream& operator<<(const void *p);
    ostream& operator<<(int n);
    ostream& operator<<(unsigned int n);
    ostream& operator<<(long n);
    ostream& operator<<(unsigned long n);

    __extension__ ostream& operator<<(long long n);
    __extension__ ostream& operator<<(unsigned long long n);

    ostream& operator<<(short n) {return operator<<((int)n);}
    ostream& operator<<(unsigned short n) {return operator<<((unsigned int)n);}

    ostream& operator<<(bool b) { return operator<<((int)b); }

    ostream& operator<<(double n);
    ostream& operator<<(float n) { return operator<<((double)n); }



    ostream& operator<<(long double n) { return operator<<((double)n); }

    ostream& operator<<(__omanip func) { return (*func)(*this); }
    ostream& operator<<(__manip func) {(*func)(*this); return *this;}
    ostream& operator<<(streambuf*);



};

class istream : virtual public ios
{
     
protected:
    _G_size_t  _gcount;

    int _skip_ws();
  public:
    istream(): _gcount (0) { }
    istream(streambuf* sb, ostream*tied= 0 );
    istream& get(char* ptr, int len, char delim = '\n');
    istream& get(unsigned char* ptr, int len, char delim = '\n')
	{ return get((char*)ptr, len, delim); }
    istream& get(char& c);
    istream& get(unsigned char& c) { return get((char&)c); }
    istream& getline(char* ptr, int len, char delim = '\n');
    istream& getline(unsigned char* ptr, int len, char delim = '\n')
	{ return getline((char*)ptr, len, delim); }
    istream& get(signed char& c)  { return get((char&)c); }
    istream& get(signed char* ptr, int len, char delim = '\n')
	{ return get((char*)ptr, len, delim); }
    istream& getline(signed char* ptr, int len, char delim = '\n')
	{ return getline((char*)ptr, len, delim); }
    istream& read(char *ptr, streamsize n);
    istream& read(unsigned char *ptr, streamsize n)
      { return read((char*)ptr, n); }
    istream& read(signed char *ptr, streamsize n)
      { return read((char*)ptr, n); }
    istream& read(void *ptr, streamsize n)
      { return read((char*)ptr, n); }
    istream& get(streambuf& sb, char delim = '\n');
    istream& gets(char **s, char delim = '\n');
    int ipfx(int need = 0) {
	if (!good()) { set(ios::failbit); return 0; }
	else {
	   ;
	  if (_tie && (need == 0 || rdbuf()->in_avail() < need)) _tie->flush();
	  if (!need && (flags() & ios::skipws)) return _skip_ws();
	  else return 1;
	}
    }
    int ipfx0() {  
	if (!good()) { set(ios::failbit); return 0; }
	else {
	   ;
	  if (_tie) _tie->flush();
	  if (flags() & ios::skipws) return _skip_ws();
	  else return 1;
	}
    }
    int ipfx1() {  
	if (!good()) { set(ios::failbit); return 0; }
	else {
	   ;
	  if (_tie && rdbuf()->in_avail() == 0) _tie->flush();
	  return 1;
	}
    }
    void isfx() {  ; }
    int get() { if (!ipfx1()) return (-1) ;
		else { int ch = _strbuf->sbumpc();
		       if (ch == (-1) ) set(ios::eofbit);
		       isfx();
		       return ch;
		     } }
    int peek();
    _G_size_t  gcount() { return _gcount; }
    istream& ignore(int n=1, int delim = (-1) );
    int sync ();
    istream& seekg(streampos);
    istream& seekg(streamoff, _seek_dir);
    streampos tellg();
    istream& putback(char ch) {
	if (good() && _strbuf->sputbackc(ch) == (-1) ) clear(ios::badbit);
	return *this;}
    istream& unget() {
	if (good() && _strbuf->sungetc() == (-1) ) clear(ios::badbit);
	return *this;}
    istream& scan(const char *format ...);
    istream& vscan(const char *format, _G_va_list  args);






    istream& operator>>(char*);
    istream& operator>>(unsigned char* p) { return operator>>((char*)p); }
    istream& operator>>(signed char*p) { return operator>>((char*)p); }
    istream& operator>>(char& c);
    istream& operator>>(unsigned char& c) {return operator>>((char&)c);}
    istream& operator>>(signed char& c) {return operator>>((char&)c);}
    istream& operator>>(int&);
    istream& operator>>(long&);

    __extension__ istream& operator>>(long long&);
    __extension__ istream& operator>>(unsigned long long&);

    istream& operator>>(short&);
    istream& operator>>(unsigned int&);
    istream& operator>>(unsigned long&);
    istream& operator>>(unsigned short&);

    istream& operator>>(bool&);

    istream& operator>>(float&);
    istream& operator>>(double&);
    istream& operator>>(long double&);
    istream& operator>>( __manip func) {(*func)(*this); return *this;}
    istream& operator>>(__imanip func) { return (*func)(*this); }
    istream& operator>>(streambuf*);
};

class iostream : public istream, public ostream
{
  public:
    iostream() { }
    iostream(streambuf* sb, ostream*tied= 0 );
};

class _IO_istream_withassign : public istream {
public:
  _IO_istream_withassign& operator=(istream&);
  _IO_istream_withassign& operator=(_IO_istream_withassign& rhs)
    { return operator= (static_cast<istream&> (rhs)); }
};

class _IO_ostream_withassign : public ostream {
public:
  _IO_ostream_withassign& operator=(ostream&);
  _IO_ostream_withassign& operator=(_IO_ostream_withassign& rhs)
    { return operator= (static_cast<ostream&> (rhs)); }
};

extern _IO_istream_withassign cin;
 
extern _IO_ostream_withassign cout, cerr;

extern _IO_ostream_withassign clog



;

extern istream& lock(istream& ins);
extern istream& unlock(istream& ins);
extern ostream& lock(ostream& outs);
extern ostream& unlock(ostream& outs);

struct Iostream_init { } ;   

inline ios& dec(ios& i)
{ i.setf(ios::dec, ios::dec|ios::hex|ios::oct); return i; }
inline ios& hex(ios& i)
{ i.setf(ios::hex, ios::dec|ios::hex|ios::oct); return i; }
inline ios& oct(ios& i)
{ i.setf(ios::oct, ios::dec|ios::hex|ios::oct); return i; }
}  


# 53 "/usr/include/g++/stl_algobase.h" 2 3



# 1 "/usr/include/g++/stl_iterator.h" 1 3
 

























 






 

struct input_iterator_tag {};
struct output_iterator_tag {};
struct forward_iterator_tag : public input_iterator_tag {};
struct bidirectional_iterator_tag : public forward_iterator_tag {};
struct random_access_iterator_tag : public bidirectional_iterator_tag {};

 
 
 
 

template <class _Tp, class _Distance> struct input_iterator {
  typedef input_iterator_tag iterator_category;
  typedef _Tp                value_type;
  typedef _Distance          difference_type;
  typedef _Tp*               pointer;
  typedef _Tp&               reference;
};

struct output_iterator {
  typedef output_iterator_tag iterator_category;
  typedef void                value_type;
  typedef void                difference_type;
  typedef void                pointer;
  typedef void                reference;
};

template <class _Tp, class _Distance> struct forward_iterator {
  typedef forward_iterator_tag iterator_category;
  typedef _Tp                  value_type;
  typedef _Distance            difference_type;
  typedef _Tp*                 pointer;
  typedef _Tp&                 reference;
};


template <class _Tp, class _Distance> struct bidirectional_iterator {
  typedef bidirectional_iterator_tag iterator_category;
  typedef _Tp                        value_type;
  typedef _Distance                  difference_type;
  typedef _Tp*                       pointer;
  typedef _Tp&                       reference;
};

template <class _Tp, class _Distance> struct random_access_iterator {
  typedef random_access_iterator_tag iterator_category;
  typedef _Tp                        value_type;
  typedef _Distance                  difference_type;
  typedef _Tp*                       pointer;
  typedef _Tp&                       reference;
};

# 98 "/usr/include/g++/stl_iterator.h" 3




template <class _Iterator>
struct iterator_traits {
  typedef typename _Iterator::iterator_category iterator_category;
  typedef typename _Iterator::value_type        value_type;
  typedef typename _Iterator::difference_type   difference_type;
  typedef typename _Iterator::pointer           pointer;
  typedef typename _Iterator::reference         reference;
};

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

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

 
 
 
 

 

template <class _Iter>
inline typename iterator_traits<_Iter>::iterator_category
__iterator_category(const _Iter&)
{
  typedef typename iterator_traits<_Iter>::iterator_category _Category;
  return _Category();
}

template <class _Iter>
inline typename iterator_traits<_Iter>::difference_type*
__distance_type(const _Iter&)
{
  return static_cast<typename iterator_traits<_Iter>::difference_type*>(0);
}

template <class _Iter>
inline typename iterator_traits<_Iter>::value_type*
__value_type(const _Iter&)
{
  return static_cast<typename iterator_traits<_Iter>::value_type*>(0);
}

template <class _Iter>
inline typename iterator_traits<_Iter>::iterator_category
iterator_category(const _Iter& __i) { return __iterator_category(__i); }


template <class _Iter>
inline typename iterator_traits<_Iter>::difference_type*
distance_type(const _Iter& __i) { return __distance_type(__i); }

template <class _Iter>
inline typename iterator_traits<_Iter>::value_type*
value_type(const _Iter& __i) { return __value_type(__i); }





# 259 "/usr/include/g++/stl_iterator.h" 3


template <class _InputIterator, class _Distance>
inline void __distance(_InputIterator __first, _InputIterator __last,
                       _Distance& __n, input_iterator_tag)
{
  while (__first != __last) { ++__first; ++__n; }
}

template <class _RandomAccessIterator, class _Distance>
inline void __distance(_RandomAccessIterator __first, 
                       _RandomAccessIterator __last, 
                       _Distance& __n, random_access_iterator_tag)
{
  __n += __last - __first;
}

template <class _InputIterator, class _Distance>
inline void distance(_InputIterator __first, 
                     _InputIterator __last, _Distance& __n)
{
  __distance(__first, __last, __n, iterator_category(__first));
}



template <class _InputIterator>
inline typename iterator_traits<_InputIterator>::difference_type
__distance(_InputIterator __first, _InputIterator __last, input_iterator_tag)
{
  typename iterator_traits<_InputIterator>::difference_type __n = 0;
  while (__first != __last) {
    ++__first; ++__n;
  }
  return __n;
}

template <class _RandomAccessIterator>
inline typename iterator_traits<_RandomAccessIterator>::difference_type
__distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
           random_access_iterator_tag) {
  return __last - __first;
}

template <class _InputIterator>
inline typename iterator_traits<_InputIterator>::difference_type
distance(_InputIterator __first, _InputIterator __last) {
  typedef typename iterator_traits<_InputIterator>::iterator_category 
    _Category;
  return __distance(__first, __last, _Category());
}



template <class _InputIter, class _Distance>
inline void __advance(_InputIter& __i, _Distance __n, input_iterator_tag) {
  while (__n--) ++__i;
}





template <class _BidirectionalIterator, class _Distance>
inline void __advance(_BidirectionalIterator& __i, _Distance __n, 
                      bidirectional_iterator_tag) {
  if (__n >= 0)
    while (__n--) ++__i;
  else
    while (__n++) --__i;
}





template <class _RandomAccessIterator, class _Distance>
inline void __advance(_RandomAccessIterator& __i, _Distance __n, 
                      random_access_iterator_tag) {
  __i += __n;
}

template <class _InputIterator, class _Distance>
inline void advance(_InputIterator& __i, _Distance __n) {
  __advance(__i, __n, iterator_category(__i));
}

template <class _Container>
class back_insert_iterator {
protected:
  _Container* container;
public:
  typedef _Container          container_type;
  typedef output_iterator_tag iterator_category;
  typedef void                value_type;
  typedef void                difference_type;
  typedef void                pointer;
  typedef void                reference;

  explicit back_insert_iterator(_Container& __x) : container(&__x) {}
  back_insert_iterator<_Container>&
  operator=(const typename _Container::value_type& __value) { 
    container->push_back(__value);
    return *this;
  }
  back_insert_iterator<_Container>& operator*() { return *this; }
  back_insert_iterator<_Container>& operator++() { return *this; }
  back_insert_iterator<_Container>& operator++(int) { return *this; }
};

# 378 "/usr/include/g++/stl_iterator.h" 3


template <class _Container>
inline back_insert_iterator<_Container> back_inserter(_Container& __x) {
  return back_insert_iterator<_Container>(__x);
}

template <class _Container>
class front_insert_iterator {
protected:
  _Container* container;
public:
  typedef _Container          container_type;
  typedef output_iterator_tag iterator_category;
  typedef void                value_type;
  typedef void                difference_type;
  typedef void                pointer;
  typedef void                reference;

  explicit front_insert_iterator(_Container& __x) : container(&__x) {}
  front_insert_iterator<_Container>&
  operator=(const typename _Container::value_type& __value) { 
    container->push_front(__value);
    return *this;
  }
  front_insert_iterator<_Container>& operator*() { return *this; }
  front_insert_iterator<_Container>& operator++() { return *this; }
  front_insert_iterator<_Container>& operator++(int) { return *this; }
};

# 417 "/usr/include/g++/stl_iterator.h" 3


template <class _Container>
inline front_insert_iterator<_Container> front_inserter(_Container& __x) {
  return front_insert_iterator<_Container>(__x);
}

template <class _Container>
class insert_iterator {
protected:
  _Container* container;
  typename _Container::iterator iter;
public:
  typedef _Container          container_type;
  typedef output_iterator_tag iterator_category;
  typedef void                value_type;
  typedef void                difference_type;
  typedef void                pointer;
  typedef void                reference;

  insert_iterator(_Container& __x, typename _Container::iterator __i) 
    : container(&__x), iter(__i) {}
  insert_iterator<_Container>&
  operator=(const typename _Container::value_type& __value) { 
    iter = container->insert(iter, __value);
    ++iter;
    return *this;
  }
  insert_iterator<_Container>& operator*() { return *this; }
  insert_iterator<_Container>& operator++() { return *this; }
  insert_iterator<_Container>& operator++(int) { return *this; }
};

# 459 "/usr/include/g++/stl_iterator.h" 3


template <class _Container, class _Iterator>
inline 
insert_iterator<_Container> inserter(_Container& __x, _Iterator __i)
{
  typedef typename _Container::iterator __iter;
  return insert_iterator<_Container>(__x, __iter(__i));
}


template <class _BidirectionalIterator, class _Tp, class _Reference = _Tp&, 
          class _Distance = ptrdiff_t> 




class reverse_bidirectional_iterator {
  typedef reverse_bidirectional_iterator<_BidirectionalIterator, _Tp, 
                                         _Reference, _Distance>  _Self;
protected:
  _BidirectionalIterator current;
public:
  typedef bidirectional_iterator_tag iterator_category;
  typedef _Tp                        value_type;
  typedef _Distance                  difference_type;
  typedef _Tp*                       pointer;
  typedef _Reference                 reference;

  reverse_bidirectional_iterator() {}
  explicit reverse_bidirectional_iterator(_BidirectionalIterator __x)
    : current(__x) {}
  _BidirectionalIterator base() const { return current; }
  _Reference operator*() const {
    _BidirectionalIterator __tmp = current;
    return *--__tmp;
  }

  pointer operator->() const { return &(operator*()); }

  _Self& operator++() {
    --current;
    return *this;
  }
  _Self operator++(int) {
    _Self __tmp = *this;
    --current;
    return __tmp;
  }
  _Self& operator--() {
    ++current;
    return *this;
  }
  _Self operator--(int) {
    _Self __tmp = *this;
    ++current;
    return __tmp;
  }
};

# 550 "/usr/include/g++/stl_iterator.h" 3


template <class _BiIter, class _Tp, class _Ref,
          class _Distance>
inline bool operator==(
    const reverse_bidirectional_iterator<_BiIter, _Tp, _Ref, _Distance>& __x, 
    const reverse_bidirectional_iterator<_BiIter, _Tp, _Ref, _Distance>& __y)
{
  return __x.base() == __y.base();
}



 
 
 
 
 

template <class _Iterator>
class reverse_iterator 
{
protected:
  _Iterator current;
public:
  typedef typename iterator_traits<_Iterator>::iterator_category
          iterator_category;
  typedef typename iterator_traits<_Iterator>::value_type
          value_type;
  typedef typename iterator_traits<_Iterator>::difference_type
          difference_type;
  typedef typename iterator_traits<_Iterator>::pointer
          pointer;
  typedef typename iterator_traits<_Iterator>::reference
          reference;

  typedef _Iterator iterator_type;
  typedef reverse_iterator<_Iterator> _Self;

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

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

  template <class _Iter>
  reverse_iterator(const reverse_iterator<_Iter>& __x)
    : current(__x.base()) {}

    
  iterator_type base() const { return current; }
  reference operator*() const {
    _Iterator __tmp = current;
    return *--__tmp;
  }

  pointer operator->() const { return &(operator*()); }


  _Self& operator++() {
    --current;
    return *this;
  }
  _Self operator++(int) {
    _Self __tmp = *this;
    --current;
    return __tmp;
  }
  _Self& operator--() {
    ++current;
    return *this;
  }
  _Self operator--(int) {
    _Self __tmp = *this;
    ++current;
    return __tmp;
  }

  _Self operator+(difference_type __n) const {
    return _Self(current - __n);
  }
  _Self& operator+=(difference_type __n) {
    current -= __n;
    return *this;
  }
  _Self operator-(difference_type __n) const {
    return _Self(current + __n);
  }
  _Self& operator-=(difference_type __n) {
    current += __n;
    return *this;
  }
  reference operator[](difference_type __n) const { return *(*this + __n); }  
}; 
 
template <class _Iterator>
inline bool operator==(const reverse_iterator<_Iterator>& __x, 
                       const reverse_iterator<_Iterator>& __y) {
  return __x.base() == __y.base();
}

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

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

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

# 805 "/usr/include/g++/stl_iterator.h" 3


 
 

template <class _Tp, class _Dist = ptrdiff_t> 
class istream_iterator {
  friend bool operator== <>  (const istream_iterator&,
                                               const istream_iterator&);
protected:
  istream* _M_stream;
  _Tp _M_value;
  bool _M_end_marker;
  void _M_read() {
    _M_end_marker = (*_M_stream) ? true : false;
    if (_M_end_marker) *_M_stream >> _M_value;
    _M_end_marker = (*_M_stream) ? true : false;
  }
public:
  typedef input_iterator_tag  iterator_category;
  typedef _Tp                 value_type;
  typedef _Dist               difference_type;
  typedef const _Tp*          pointer;
  typedef const _Tp&          reference;

  istream_iterator() : _M_stream(&cin), _M_end_marker(false) {}
  istream_iterator(istream& __s) : _M_stream(&__s) { _M_read(); }
  reference operator*() const { return _M_value; }

  pointer operator->() const { return &(operator*()); }

  istream_iterator<_Tp, _Dist>& operator++() { 
    _M_read(); 
    return *this;
  }
  istream_iterator<_Tp, _Dist> operator++(int)  {
    istream_iterator<_Tp, _Dist> __tmp = *this;
    _M_read();
    return __tmp;
  }
};

# 864 "/usr/include/g++/stl_iterator.h" 3


template <class _Tp, class _Distance>
inline bool operator==(const istream_iterator<_Tp, _Distance>& __x,
                       const istream_iterator<_Tp, _Distance>& __y) {
  return (__x._M_stream == __y._M_stream &&
          __x._M_end_marker == __y._M_end_marker) ||
         __x._M_end_marker == false && __y._M_end_marker == false;
}

template <class _Tp>
class ostream_iterator {
protected:
  ostream* _M_stream;
  const char* _M_string;
public:
  typedef output_iterator_tag iterator_category;
  typedef void                value_type;
  typedef void                difference_type;
  typedef void                pointer;
  typedef void                reference;

  ostream_iterator(ostream& __s) : _M_stream(&__s), _M_string(0) {}
  ostream_iterator(ostream& __s, const char* __c) 
    : _M_stream(&__s), _M_string(__c)  {}
  ostream_iterator<_Tp>& operator=(const _Tp& __value) { 
    *_M_stream << __value;
    if (_M_string) *_M_stream << _M_string;
    return *this;
  }
  ostream_iterator<_Tp>& operator*() { return *this; }
  ostream_iterator<_Tp>& operator++() { return *this; } 
  ostream_iterator<_Tp>& operator++(int) { return *this; } 
};

# 907 "/usr/include/g++/stl_iterator.h" 3


 



 
 
 
# 56 "/usr/include/g++/stl_algobase.h" 2 3



 

 

template <class _ForwardIter1, class _ForwardIter2, class _Tp>
inline void __iter_swap(_ForwardIter1 __a, _ForwardIter2 __b, _Tp*) {
  _Tp __tmp = *__a;
  *__a = *__b;
  *__b = __tmp;
}

template <class _ForwardIter1, class _ForwardIter2>
inline void iter_swap(_ForwardIter1 __a, _ForwardIter2 __b) {
  __iter_swap(__a, __b, __value_type( __a ) );
}

template <class _Tp>
inline void swap(_Tp& __a, _Tp& __b) {
  _Tp __tmp = __a;
  __a = __b;
  __b = __tmp;
}

 
 






template <class _Tp>
inline const _Tp& min(const _Tp& __a, const _Tp& __b) {
  return __b < __a ? __b : __a;
}

template <class _Tp>
inline const _Tp& max(const _Tp& __a, const _Tp& __b) {
  return  __a < __b ? __b : __a;
}



template <class _Tp, class _Compare>
inline const _Tp& min(const _Tp& __a, const _Tp& __b, _Compare __comp) {
  return __comp(__b, __a) ? __b : __a;
}

template <class _Tp, class _Compare>
inline const _Tp& max(const _Tp& __a, const _Tp& __b, _Compare __comp) {
  return __comp(__a, __b) ? __b : __a;
}

 
 

 
 
 
 
 
 
 

template <class _InputIter, class _OutputIter, class _Distance>
inline _OutputIter __copy(_InputIter __first, _InputIter __last,
                          _OutputIter __result,
                          input_iterator_tag, _Distance*)
{
  for ( ; __first != __last; ++__result, ++__first)
    *__result = *__first;
  return __result;
}

template <class _RandomAccessIter, class _OutputIter, class _Distance>
inline _OutputIter
__copy(_RandomAccessIter __first, _RandomAccessIter __last,
       _OutputIter __result, random_access_iterator_tag, _Distance*)
{
  for (_Distance __n = __last - __first; __n > 0; --__n) {
    *__result = *__first;
    ++__first;
    ++__result;
  }
  return __result;
}

template <class _Tp>
inline _Tp*
__copy_trivial(const _Tp* __first, const _Tp* __last, _Tp* __result) {
  memmove(__result, __first, sizeof(_Tp) * (__last - __first));
  return __result + (__last - __first);
}



template <class _InputIter, class _OutputIter, class _BoolType>
struct __copy_dispatch {
  static _OutputIter copy(_InputIter __first, _InputIter __last,
                          _OutputIter __result) {
    typedef typename iterator_traits<_InputIter>::iterator_category _Category;
    typedef typename iterator_traits<_InputIter>::difference_type _Distance;
    return __copy(__first, __last, __result, _Category(), (_Distance*) 0);
  }
};

template <class _Tp>
struct __copy_dispatch<_Tp*, _Tp*, __true_type>
{
  static _Tp* copy(const _Tp* __first, const _Tp* __last, _Tp* __result) {
    return __copy_trivial(__first, __last, __result);
  }
};

template <class _Tp>
struct __copy_dispatch<const _Tp*, _Tp*, __true_type>
{
  static _Tp* copy(const _Tp* __first, const _Tp* __last, _Tp* __result) {
    return __copy_trivial(__first, __last, __result);
  }
};

template <class _InputIter, class _OutputIter>
inline _OutputIter copy(_InputIter __first, _InputIter __last,
                        _OutputIter __result) {
  typedef typename iterator_traits<_InputIter>::value_type _Tp;
  typedef typename __type_traits<_Tp>::has_trivial_assignment_operator
          _Trivial;
  return __copy_dispatch<_InputIter, _OutputIter, _Trivial>
    ::copy(__first, __last, __result);
}

# 213 "/usr/include/g++/stl_algobase.h" 3


 
 

template <class _BidirectionalIter1, class _BidirectionalIter2, 
          class _Distance>
inline _BidirectionalIter2 __copy_backward(_BidirectionalIter1 __first, 
                                           _BidirectionalIter1 __last, 
                                           _BidirectionalIter2 __result,
                                           bidirectional_iterator_tag,
                                           _Distance*)
{
  while (__first != __last)
    *--__result = *--__last;
  return __result;
}

template <class _RandomAccessIter, class _BidirectionalIter, class _Distance>
inline _BidirectionalIter __copy_backward(_RandomAccessIter __first, 
                                          _RandomAccessIter __last, 
                                          _BidirectionalIter __result,
                                          random_access_iterator_tag,
                                          _Distance*)
{
  for (_Distance __n = __last - __first; __n > 0; --__n)
    *--__result = *--__last;
  return __result;
}



 
 
 
 

template <class _BidirectionalIter1, class _BidirectionalIter2,
          class _BoolType>
struct __copy_backward_dispatch
{
  typedef typename iterator_traits<_BidirectionalIter1>::iterator_category 
          _Cat;
  typedef typename iterator_traits<_BidirectionalIter1>::difference_type
          _Distance;

  static _BidirectionalIter2 copy(_BidirectionalIter1 __first, 
                                  _BidirectionalIter1 __last, 
                                  _BidirectionalIter2 __result) {
    return __copy_backward(__first, __last, __result, _Cat(), (_Distance*) 0);
  }
};

template <class _Tp>
struct __copy_backward_dispatch<_Tp*, _Tp*, __true_type>
{
  static _Tp* copy(const _Tp* __first, const _Tp* __last, _Tp* __result) {
    const ptrdiff_t _Num = __last - __first;
    memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
    return __result - _Num;
  }
};

template <class _Tp>
struct __copy_backward_dispatch<const _Tp*, _Tp*, __true_type>
{
  static _Tp* copy(const _Tp* __first, const _Tp* __last, _Tp* __result) {
    return  __copy_backward_dispatch<_Tp*, _Tp*, __true_type>
      ::copy(__first, __last, __result);
  }
};

template <class _BI1, class _BI2>
inline _BI2 copy_backward(_BI1 __first, _BI1 __last, _BI2 __result) {
  typedef typename __type_traits<typename iterator_traits<_BI2>::value_type>
                        ::has_trivial_assignment_operator
          _Trivial;
  return __copy_backward_dispatch<_BI1, _BI2, _Trivial>
              ::copy(__first, __last, __result);
}

# 303 "/usr/include/g++/stl_algobase.h" 3


 
 

template <class _InputIter, class _Size, class _OutputIter>
pair<_InputIter, _OutputIter> __copy_n(_InputIter __first, _Size __count,
                                       _OutputIter __result,
                                       input_iterator_tag) {
  for ( ; __count > 0; --__count) {
    *__result = *__first;
    ++__first;
    ++__result;
  }
  return pair<_InputIter, _OutputIter>(__first, __result);
}

template <class _RAIter, class _Size, class _OutputIter>
inline pair<_RAIter, _OutputIter>
__copy_n(_RAIter __first, _Size __count,
         _OutputIter __result,
         random_access_iterator_tag) {
  _RAIter __last = __first + __count;
  return pair<_RAIter, _OutputIter>(__last, copy(__first, __last, __result));
}

template <class _InputIter, class _Size, class _OutputIter>
inline pair<_InputIter, _OutputIter>
__copy_n(_InputIter __first, _Size __count, _OutputIter __result) {
  return __copy_n(__first, __count, __result,
                  __iterator_category( __first ) );
}

template <class _InputIter, class _Size, class _OutputIter>
inline pair<_InputIter, _OutputIter>
copy_n(_InputIter __first, _Size __count, _OutputIter __result) {
  return __copy_n(__first, __count, __result);
}

 
 


template <class _ForwardIter, class _Tp>
void fill(_ForwardIter __first, _ForwardIter __last, const _Tp& __value) {
  for ( ; __first != __last; ++__first)
    *__first = __value;
}

template <class _OutputIter, class _Size, class _Tp>
_OutputIter fill_n(_OutputIter __first, _Size __n, const _Tp& __value) {
  for ( ; __n > 0; --__n, ++__first)
    *__first = __value;
  return __first;
}

 
 

template <class _InputIter1, class _InputIter2>
pair<_InputIter1, _InputIter2> mismatch(_InputIter1 __first1,
                                        _InputIter1 __last1,
                                        _InputIter2 __first2) {
  while (__first1 != __last1 && *__first1 == *__first2) {
    ++__first1;
    ++__first2;
  }
  return pair<_InputIter1, _InputIter2>(__first1, __first2);
}

template <class _InputIter1, class _InputIter2, class _BinaryPredicate>
pair<_InputIter1, _InputIter2> mismatch(_InputIter1 __first1,
                                        _InputIter1 __last1,
                                        _InputIter2 __first2,
                                        _BinaryPredicate __binary_pred) {
  while (__first1 != __last1 && __binary_pred(*__first1, *__first2)) {
    ++__first1;
    ++__first2;
  }
  return pair<_InputIter1, _InputIter2>(__first1, __first2);
}

template <class _InputIter1, class _InputIter2>
inline bool equal(_InputIter1 __first1, _InputIter1 __last1,
                  _InputIter2 __first2) {
  for ( ; __first1 != __last1; ++__first1, ++__first2)
    if (*__first1 != *__first2)
      return false;
  return true;
}

template <class _InputIter1, class _InputIter2, class _BinaryPredicate>
inline bool equal(_InputIter1 __first1, _InputIter1 __last1,
                  _InputIter2 __first2, _BinaryPredicate __binary_pred) {
  for ( ; __first1 != __last1; ++__first1, ++__first2)
    if (!__binary_pred(*__first1, *__first2))
      return false;
  return true;
}

 
 
 

template <class _InputIter1, class _InputIter2>
bool lexicographical_compare(_InputIter1 __first1, _InputIter1 __last1,
                             _InputIter2 __first2, _InputIter2 __last2) {
  for ( ; __first1 != __last1 && __first2 != __last2
        ; ++__first1, ++__first2) {
    if (*__first1 < *__first2)
      return true;
    if (*__first2 < *__first1)
      return false;
  }
  return __first1 == __last1 && __first2 != __last2;
}

template <class _InputIter1, class _InputIter2, class _Compare>
bool lexicographical_compare(_InputIter1 __first1, _InputIter1 __last1,
                             _InputIter2 __first2, _InputIter2 __last2,
                             _Compare __comp) {
  for ( ; __first1 != __last1 && __first2 != __last2
        ; ++__first1, ++__first2) {
    if (__comp(*__first1, *__first2))
      return true;
    if (__comp(*__first2, *__first1))
      return false;
  }
  return __first1 == __last1 && __first2 != __last2;
}

inline bool 
lexicographical_compare(const unsigned char* __first1,
                        const unsigned char* __last1,
                        const unsigned char* __first2,
                        const unsigned char* __last2)
{
  const size_t __len1 = __last1 - __first1;
  const size_t __len2 = __last2 - __first2;
  const int __result = memcmp(__first1, __first2, min(__len1, __len2));
  return __result != 0 ? __result < 0 : __len1 < __len2;
}

inline bool lexicographical_compare(const char* __first1, const char* __last1,
                                    const char* __first2, const char* __last2)
{

  return lexicographical_compare((const signed char*) __first1,
                                 (const signed char*) __last1,
                                 (const signed char*) __first2,
                                 (const signed char*) __last2);






}

template <class _InputIter1, class _InputIter2>
int __lexicographical_compare_3way(_InputIter1 __first1, _InputIter1 __last1,
                                   _InputIter2 __first2, _InputIter2 __last2)
{
  while (__first1 != __last1 && __first2 != __last2) {
    if (*__first1 < *__first2)
      return -1;
    if (*__first2 < *__first1)
      return 1;
    ++__first1;
    ++__first2;
  }
  if (__first2 == __last2) {
    return !(__first1 == __last1);
  }
  else {
    return -1;
  }
}

inline int
__lexicographical_compare_3way(const unsigned char* __first1,
                               const unsigned char* __last1,
                               const unsigned char* __first2,
                               const unsigned char* __last2)
{
  const ptrdiff_t __len1 = __last1 - __first1;
  const ptrdiff_t __len2 = __last2 - __first2;
  const int __result = memcmp(__first1, __first2, min(__len1, __len2));
  return __result != 0 ? __result 
                       : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
}

inline int 
__lexicographical_compare_3way(const char* __first1, const char* __last1,
                               const char* __first2, const char* __last2)
{

  return __lexicographical_compare_3way(
                                (const signed char*) __first1,
                                (const signed char*) __last1,
                                (const signed char*) __first2,
                                (const signed char*) __last2);






}

template <class _InputIter1, class _InputIter2>
int lexicographical_compare_3way(_InputIter1 __first1, _InputIter1 __last1,
                                 _InputIter2 __first2, _InputIter2 __last2)
{
  return __lexicographical_compare_3way(__first1, __last1, __first2, __last2);
}

 



 
 
 
# 56 "/usr/include/g++/stl_tree.h" 2 3

# 1 "/usr/include/g++/stl_alloc.h" 1 3
 












 



















 
 
 
 
 
 
















# 1 "/usr/include/assert.h" 1 3
 







































 





















extern "C" { 
void __assert  (const char *, int, const char *)  ;
} 
# 56 "/usr/include/g++/stl_alloc.h" 2 3











# 78 "/usr/include/g++/stl_alloc.h" 3

# 87 "/usr/include/g++/stl_alloc.h" 3

# 97 "/usr/include/g++/stl_alloc.h" 3

# 115 "/usr/include/g++/stl_alloc.h" 3


 






 





 
 









template <int __inst>
class __malloc_alloc_template {

private:

  static void* _S_oom_malloc(size_t);
  static void* _S_oom_realloc(void*, size_t);


  static void (* __malloc_alloc_oom_handler)();


public:

  static void* allocate(size_t __n)
  {
    void* __result = malloc(__n);
    if (0 == __result) __result = _S_oom_malloc(__n);
    return __result;
  }

  static void deallocate(void* __p, size_t  )
  {
    free(__p);
  }

  static void* reallocate(void* __p, size_t  , size_t __new_sz)
  {
    void* __result = realloc(__p, __new_sz);
    if (0 == __result) __result = _S_oom_realloc(__p, __new_sz);
    return __result;
  }

  static void (* __set_malloc_handler(void (*__f)()))()
  {
    void (* __old)() = __malloc_alloc_oom_handler;
    __malloc_alloc_oom_handler = __f;
    return(__old);
  }

};

 


template <int __inst>
void (* __malloc_alloc_template<__inst>::__malloc_alloc_oom_handler)() = 0;


template <int __inst>
void*
__malloc_alloc_template<__inst>::_S_oom_malloc(size_t __n)
{
    void (* __my_malloc_handler)();
    void* __result;

    for (;;) {
        __my_malloc_handler = __malloc_alloc_oom_handler;
        if (0 == __my_malloc_handler) { cerr << "out of memory" << endl; exit(1) ; }
        (*__my_malloc_handler)();
        __result = malloc(__n);
        if (__result) return(__result);
    }
}

template <int __inst>
void* __malloc_alloc_template<__inst>::_S_oom_realloc(void* __p, size_t __n)
{
    void (* __my_malloc_handler)();
    void* __result;

    for (;;) {
        __my_malloc_handler = __malloc_alloc_oom_handler;
        if (0 == __my_malloc_handler) { cerr << "out of memory" << endl; exit(1) ; }
        (*__my_malloc_handler)();
        __result = realloc(__p, __n);
        if (__result) return(__result);
    }
}

typedef __malloc_alloc_template<0> malloc_alloc;

template<class _Tp, class _Alloc>
class simple_alloc {

public:
    static _Tp* allocate(size_t __n)
      { return 0 == __n ? 0 : (_Tp*) _Alloc::allocate(__n * sizeof (_Tp)); }
    static _Tp* allocate(void)
      { return (_Tp*) _Alloc::allocate(sizeof (_Tp)); }
    static void deallocate(_Tp* __p, size_t __n)
      { if (0 != __n) _Alloc::deallocate(__p, __n * sizeof (_Tp)); }
    static void deallocate(_Tp* __p)
      { _Alloc::deallocate(__p, sizeof (_Tp)); }
};

 
 
 
 
 
template <class _Alloc>
class debug_alloc {

private:

  enum {_S_extra = 8};   
                         
                         

public:

  static void* allocate(size_t __n)
  {
    char* __result = (char*)_Alloc::allocate(__n + _S_extra);
    *(size_t*)__result = __n;
    return __result + _S_extra;
  }

  static void deallocate(void* __p, size_t __n)
  {
    char* __real_p = (char*)__p - _S_extra;
    (( *(size_t*)__real_p == __n ) ? (void)0 : __assert("/usr/include/g++/stl_alloc.h", 263, "*(size_t*)__real_p == __n")) ;
    _Alloc::deallocate(__real_p, __n + _S_extra);
  }

  static void* reallocate(void* __p, size_t __old_sz, size_t __new_sz)
  {
    char* __real_p = (char*)__p - _S_extra;
    (( *(size_t*)__real_p == __old_sz ) ? (void)0 : __assert("/usr/include/g++/stl_alloc.h", 270, "*(size_t*)__real_p == __old_sz")) ;
    char* __result = (char*)
      _Alloc::reallocate(__real_p, __old_sz + _S_extra, __new_sz + _S_extra);
    *(size_t*)__result = __new_sz;
    return __result + _S_extra;
  }

};










 
 
 
 
 
 
 
 
 
 
 
 
 
 

 
 
 
 
 
 
 
 
 







template <bool threads, int inst>
class __default_alloc_template {

private:
   
   

    enum {_ALIGN = 8};
    enum {_MAX_BYTES = 128};
    enum {_NFREELISTS = _MAX_BYTES/_ALIGN};

  static size_t
  _S_round_up(size_t __bytes)
    { return (((__bytes) + _ALIGN-1) & ~(_ALIGN - 1)); }

private :
  union _Obj {
        union _Obj* _M_free_list_link;
        char _M_client_data[1];     
  };
private:




    static _Obj*   _S_free_list[_NFREELISTS];

  static  size_t _S_freelist_index(size_t __bytes) {
        return (((__bytes) + _ALIGN-1)/_ALIGN - 1);
  }

   
  static void* _S_refill(size_t __n);
   
   
  static char* _S_chunk_alloc(size_t __size, int& __nobjs);

   
  static char* _S_start_free;
  static char* _S_end_free;
  static size_t _S_heap_size;















# 389 "/usr/include/g++/stl_alloc.h" 3


    class _Lock {
        public:
            _Lock() {  ; }
            ~_Lock() {  ; }
    };
    friend class _Lock;

public:

   
  static void* allocate(size_t __n)
  {
    _Obj*  * __my_free_list;
    _Obj*   __result;

    if (__n > (size_t) _MAX_BYTES) {
        return(malloc_alloc::allocate(__n));
    }
    __my_free_list = _S_free_list + _S_freelist_index(__n);
     
     
     




    __result = *__my_free_list;
    if (__result == 0) {
        void* __r = _S_refill(_S_round_up(__n));
        return __r;
    }
    *__my_free_list = __result -> _M_free_list_link;
    return (__result);
  };

   
  static void deallocate(void* __p, size_t __n)
  {
    _Obj* __q = (_Obj*)__p;
    _Obj*  * __my_free_list;

    if (__n > (size_t) _MAX_BYTES) {
        malloc_alloc::deallocate(__p, __n);
        return;
    }
    __my_free_list = _S_free_list + _S_freelist_index(__n);
     




    __q -> _M_free_list_link = *__my_free_list;
    *__my_free_list = __q;
     
  }

  static void* reallocate(void* __p, size_t __old_sz, size_t __new_sz);

} ;

typedef __default_alloc_template< false , 0> alloc;
typedef __default_alloc_template<false, 0> single_client_alloc;



 
 
 
 
template <bool __threads, int __inst>
char*
__default_alloc_template<__threads, __inst>::_S_chunk_alloc(size_t __size,
                                                            int& __nobjs)
{
    char* __result;
    size_t __total_bytes = __size * __nobjs;
    size_t __bytes_left = _S_end_free - _S_start_free;

    if (__bytes_left >= __total_bytes) {
        __result = _S_start_free;
        _S_start_free += __total_bytes;
        return(__result);
    } else if (__bytes_left >= __size) {
        __nobjs = (int)(__bytes_left/__size);
        __total_bytes = __size * __nobjs;
        __result = _S_start_free;
        _S_start_free += __total_bytes;
        return(__result);
    } else {
        size_t __bytes_to_get =
	  2 * __total_bytes + _S_round_up(_S_heap_size >> 4);
         
        if (__bytes_left > 0) {
            _Obj*  * __my_free_list =
                        _S_free_list + _S_freelist_index(__bytes_left);

            ((_Obj*)_S_start_free) -> _M_free_list_link = *__my_free_list;
            *__my_free_list = (_Obj*)_S_start_free;
        }
        _S_start_free = (char*)malloc(__bytes_to_get);
        if (0 == _S_start_free) {
            size_t __i;
            _Obj*  * __my_free_list;
	    _Obj* __p;
             
             
             
            for (__i = __size; __i <= _MAX_BYTES; __i += _ALIGN) {
                __my_free_list = _S_free_list + _S_freelist_index(__i);
                __p = *__my_free_list;
                if (0 != __p) {
                    *__my_free_list = __p -> _M_free_list_link;
                    _S_start_free = (char*)__p;
                    _S_end_free = _S_start_free + __i;
                    return(_S_chunk_alloc(__size, __nobjs));
                     
                     
                }
            }
	    _S_end_free = 0;	 
            _S_start_free = (char*)malloc_alloc::allocate(__bytes_to_get);
             
             
             
        }
        _S_heap_size += __bytes_to_get;
        _S_end_free = _S_start_free + __bytes_to_get;
        return(_S_chunk_alloc(__size, __nobjs));
    }
}


 
 
 
template <bool __threads, int __inst>
void*
__default_alloc_template<__threads, __inst>::_S_refill(size_t __n)
{
    int __nobjs = 20;
    char* __chunk = _S_chunk_alloc(__n, __nobjs);
    _Obj*  * __my_free_list;
    _Obj* __result;
    _Obj* __current_obj;
    _Obj* __next_obj;
    int __i;

    if (1 == __nobjs) return(__chunk);
    __my_free_list = _S_free_list + _S_freelist_index(__n);

     
      __result = (_Obj*)__chunk;
      *__my_free_list = __next_obj = (_Obj*)(__chunk + __n);
      for (__i = 1; ; __i++) {
        __current_obj = __next_obj;
        __next_obj = (_Obj*)((char*)__next_obj + __n);
        if (__nobjs - 1 == __i) {
            __current_obj -> _M_free_list_link = 0;
            break;
        } else {
            __current_obj -> _M_free_list_link = __next_obj;
        }
      }
    return(__result);
}

template <bool threads, int inst>
void*
__default_alloc_template<threads, inst>::reallocate(void* __p,
                                                    size_t __old_sz,
                                                    size_t __new_sz)
{
    void* __result;
    size_t __copy_sz;

    if (__old_sz > (size_t) _MAX_BYTES && __new_sz > (size_t) _MAX_BYTES) {
        return(realloc(__p, __new_sz));
    }
    if (_S_round_up(__old_sz) == _S_round_up(__new_sz)) return(__p);
    __result = allocate(__new_sz);
    __copy_sz = __new_sz > __old_sz? __old_sz : __new_sz;
    memcpy(__result, __p, __copy_sz);
    deallocate(__p, __old_sz);
    return(__result);
}















# 602 "/usr/include/g++/stl_alloc.h" 3


# 689 "/usr/include/g++/stl_alloc.h" 3


template <bool __threads, int __inst>
char* __default_alloc_template<__threads, __inst>::_S_start_free = 0;

template <bool __threads, int __inst>
char* __default_alloc_template<__threads, __inst>::_S_end_free = 0;

template <bool __threads, int __inst>
size_t __default_alloc_template<__threads, __inst>::_S_heap_size = 0;

template <bool __threads, int __inst>
__default_alloc_template<__threads, __inst>::_Obj*  
__default_alloc_template<__threads, __inst> ::_S_free_list[
    _NFREELISTS
] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, };
 
 
 










 
 
 
 
 
 
 



template <class _Tp>
class allocator {
  typedef alloc _Alloc;           
public:
  typedef size_t     size_type;
  typedef ptrdiff_t  difference_type;
  typedef _Tp*       pointer;
  typedef const _Tp* const_pointer;
  typedef _Tp&       reference;
  typedef const _Tp& const_reference;
  typedef _Tp        value_type;

  template <class _Tp1> struct rebind {
    typedef allocator<_Tp1> other;
  };

  allocator() throw()  {}
  allocator(const allocator&) throw()  {}
  template <class _Tp1> allocator(const allocator<_Tp1>&) throw()  {}
  ~allocator() throw()  {}

  pointer address(reference __x) const { return &__x; }
  const_pointer address(const_reference __x) const { return &__x; }

   
   
  _Tp* allocate(size_type __n, const void* = 0) {
    return __n != 0 ? static_cast<_Tp*>(_Alloc::allocate(__n * sizeof(_Tp)))
                    : 0;
  }

   
  void deallocate(pointer __p, size_type __n)
    { _Alloc::deallocate(__p, __n * sizeof(_Tp)); }

  size_type max_size() const throw() 
    { return size_t(-1) / sizeof(_Tp); }

  void construct(pointer __p, const _Tp& __val) { new(__p) _Tp(__val); }
  void destroy(pointer __p) { __p->~_Tp(); }
};

template<>
class allocator<void> {
  typedef size_t      size_type;
  typedef ptrdiff_t   difference_type;
  typedef void*       pointer;
  typedef const void* const_pointer;
  typedef void        value_type;

  template <class _Tp1> struct rebind {
    typedef allocator<_Tp1> other;
  };
};


template <class _T1, class _T2>
inline bool operator==(const allocator<_T1>&, const allocator<_T2>&)
{
  return true;
}

template <class _T1, class _T2>
inline bool operator!=(const allocator<_T1>&, const allocator<_T2>&)
{
  return false;
}

 
 
 
 
 
 

template <class _Tp, class _Alloc>
struct __allocator {
  _Alloc __underlying_alloc;

  typedef size_t    size_type;
  typedef ptrdiff_t difference_type;
  typedef _Tp*       pointer;
  typedef const _Tp* const_pointer;
  typedef _Tp&       reference;
  typedef const _Tp& const_reference;
  typedef _Tp        value_type;

  template <class _Tp1> struct rebind {
    typedef __allocator<_Tp1, _Alloc> other;
  };

  __allocator() throw()  {}
  __allocator(const __allocator& __a) throw() 
    : __underlying_alloc(__a.__underlying_alloc) {}
  template <class _Tp1>
  __allocator(const __allocator<_Tp1, _Alloc>& __a) throw() 
    : __underlying_alloc(__a.__underlying_alloc) {}
  ~__allocator() throw()  {}

  pointer address(reference __x) const { return &__x; }
  const_pointer address(const_reference __x) const { return &__x; }

   
  _Tp* allocate(size_type __n, const void* = 0) {
    return __n != 0
        ? static_cast<_Tp*>(__underlying_alloc.allocate(__n * sizeof(_Tp)))
        : 0;
  }

   
  void deallocate(pointer __p, size_type __n)
    { __underlying_alloc.deallocate(__p, __n * sizeof(_Tp)); }

  size_type max_size() const throw() 
    { return size_t(-1) / sizeof(_Tp); }

  void construct(pointer __p, const _Tp& __val) { new(__p) _Tp(__val); }
  void destroy(pointer __p) { __p->~_Tp(); }
};

template <class _Alloc>
class __allocator<void, _Alloc> {
  typedef size_t      size_type;
  typedef ptrdiff_t   difference_type;
  typedef void*       pointer;
  typedef const void* const_pointer;
  typedef void        value_type;

  template <class _Tp1> struct rebind {
    typedef __allocator<_Tp1, _Alloc> other;
  };
};

template <class _Tp, class _Alloc>
inline bool operator==(const __allocator<_Tp, _Alloc>& __a1,
                       const __allocator<_Tp, _Alloc>& __a2)
{
  return __a1.__underlying_alloc == __a2.__underlying_alloc;
}


template <class _Tp, class _Alloc>
inline bool operator!=(const __allocator<_Tp, _Alloc>& __a1,
                       const __allocator<_Tp, _Alloc>& __a2)
{
  return __a1.__underlying_alloc != __a2.__underlying_alloc;
}


 
 
 

template <int inst>
inline bool operator==(const __malloc_alloc_template<inst>&,
                       const __malloc_alloc_template<inst>&)
{
  return true;
}


template <int __inst>
inline bool operator!=(const __malloc_alloc_template<__inst>&,
                       const __malloc_alloc_template<__inst>&)
{
  return false;
}



template <bool __threads, int __inst>
inline bool operator==(const __default_alloc_template<__threads, __inst>&,
                       const __default_alloc_template<__threads, __inst>&)
{
  return true;
}


template <bool __threads, int __inst>
inline bool operator!=(const __default_alloc_template<__threads, __inst>&,
                       const __default_alloc_template<__threads, __inst>&)
{
  return false;
}



template <class _Alloc>
inline bool operator==(const debug_alloc<_Alloc>&,
                       const debug_alloc<_Alloc>&) {
  return true;
}


template <class _Alloc>
inline bool operator!=(const debug_alloc<_Alloc>&,
                       const debug_alloc<_Alloc>&) {
  return false;
}


 
 
 
 
 
 

 
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 

 

template <class _Tp, class _Allocator>
struct _Alloc_traits
{
  static const bool _S_instanceless = false;
  typedef typename _Allocator::   rebind<_Tp>::other
          allocator_type;
};

template <class _Tp, class _Allocator>
const bool _Alloc_traits<_Tp, _Allocator>::_S_instanceless;

 

template <class _Tp, class _Tp1>
struct _Alloc_traits<_Tp, allocator<_Tp1> >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, alloc> _Alloc_type;
  typedef allocator<_Tp> allocator_type;
};

 

template <class _Tp, int __inst>
struct _Alloc_traits<_Tp, __malloc_alloc_template<__inst> >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, __malloc_alloc_template<__inst> > _Alloc_type;
  typedef __allocator<_Tp, __malloc_alloc_template<__inst> > allocator_type;
};


template <class _Tp, bool __threads, int __inst>
struct _Alloc_traits<_Tp, __default_alloc_template<__threads, __inst> >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, __default_alloc_template<__threads, __inst> >
          _Alloc_type;
  typedef __allocator<_Tp, __default_alloc_template<__threads, __inst> >
          allocator_type;
};


template <class _Tp, class _Alloc>
struct _Alloc_traits<_Tp, debug_alloc<_Alloc> >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, debug_alloc<_Alloc> > _Alloc_type;
  typedef __allocator<_Tp, debug_alloc<_Alloc> > allocator_type;
};

 
 

template <class _Tp, class _Tp1, int __inst>
struct _Alloc_traits<_Tp,
                     __allocator<_Tp1, __malloc_alloc_template<__inst> > >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, __malloc_alloc_template<__inst> > _Alloc_type;
  typedef __allocator<_Tp, __malloc_alloc_template<__inst> > allocator_type;
};


template <class _Tp, class _Tp1, bool __thr, int __inst>
struct _Alloc_traits<_Tp,
                      __allocator<_Tp1,
                                  __default_alloc_template<__thr, __inst> > >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, __default_alloc_template<__thr,__inst> >
          _Alloc_type;
  typedef __allocator<_Tp, __default_alloc_template<__thr,__inst> >
          allocator_type;
};


template <class _Tp, class _Tp1, class _Alloc>
struct _Alloc_traits<_Tp, __allocator<_Tp1, debug_alloc<_Alloc> > >
{
  static const bool _S_instanceless = true;
  typedef simple_alloc<_Tp, debug_alloc<_Alloc> > _Alloc_type;
  typedef __allocator<_Tp, debug_alloc<_Alloc> > allocator_type;
};








 





 
 
 
# 57 "/usr/include/g++/stl_tree.h" 2 3

# 1 "/usr/include/g++/stl_construct.h" 1 3
 

























 








 

 
 

template <class _Tp>
inline void destroy(_Tp* __pointer) {
  __pointer->~_Tp();
}

template <class _T1, class _T2>
inline void construct(_T1* __p, const _T2& __value) {
  new (__p) _T1(__value);
}

template <class _T1>
inline void construct(_T1* __p) {
  new (__p) _T1();
}

template <class _ForwardIterator>
inline void
__destroy_aux(_ForwardIterator __first, _ForwardIterator __last, __false_type)
{
  for ( ; __first != __last; ++__first)
    destroy(&*__first);
}

template <class _ForwardIterator>
inline void __destroy_aux(_ForwardIterator, _ForwardIterator, __true_type) {}

template <class _ForwardIterator, class _Tp>
inline void
__destroy(_ForwardIterator __first, _ForwardIterator __last, _Tp*)
{
  typedef typename __type_traits<_Tp>::has_trivial_destructor
          _Trivial_destructor;
  __destroy_aux(__first, __last, _Trivial_destructor());
}

template <class _ForwardIterator>
inline void destroy(_ForwardIterator __first, _ForwardIterator __last) {
  __destroy(__first, __last, __value_type( __first ) );
}

inline void destroy(char*, char*) {}
inline void destroy(wchar_t*, wchar_t*) {}

 



 
 
 
# 58 "/usr/include/g++/stl_tree.h" 2 3

# 1 "/usr/include/g++/stl_function.h" 1 3
 

























 






 

template <class _Arg, class _Result>
struct unary_function {
  typedef _Arg argument_type;
  typedef _Result result_type;
};

template <class _Arg1, class _Arg2, class _Result>
struct binary_function {
  typedef _Arg1 first_argument_type;
  typedef _Arg2 second_argument_type;
  typedef _Result result_type;
};      

template <class _Tp>
struct plus : public binary_function<_Tp,_Tp,_Tp> {
  _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x + __y; }
};

template <class _Tp>
struct minus : public binary_function<_Tp,_Tp,_Tp> {
  _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x - __y; }
};

template <class _Tp>
struct multiplies : public binary_function<_Tp,_Tp,_Tp> {
  _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x * __y; }
};

template <class _Tp>
struct divides : public binary_function<_Tp,_Tp,_Tp> {
  _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x / __y; }
};

 

template <class _Tp> inline _Tp identity_element(plus<_Tp>) {
  return _Tp(0);
}
template <class _Tp> inline _Tp identity_element(multiplies<_Tp>) {
  return _Tp(1);
}

template <class _Tp>
struct modulus : public binary_function<_Tp,_Tp,_Tp> 
{
  _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x % __y; }
};

template <class _Tp>
struct negate : public unary_function<_Tp,_Tp> 
{
  _Tp operator()(const _Tp& __x) const { return -__x; }
};

template <class _Tp>
struct equal_to : public binary_function<_Tp,_Tp,bool> 
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x == __y; }
};

template <class _Tp>
struct not_equal_to : public binary_function<_Tp,_Tp,bool> 
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x != __y; }
};

template <class _Tp>
struct greater : public binary_function<_Tp,_Tp,bool> 
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x > __y; }
};

template <class _Tp>
struct less : public binary_function<_Tp,_Tp,bool> 
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x < __y; }
};

template <class _Tp>
struct greater_equal : public binary_function<_Tp,_Tp,bool>
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x >= __y; }
};

template <class _Tp>
struct less_equal : public binary_function<_Tp,_Tp,bool> 
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x <= __y; }
};

template <class _Tp>
struct logical_and : public binary_function<_Tp,_Tp,bool>
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x && __y; }
};

template <class _Tp>
struct logical_or : public binary_function<_Tp,_Tp,bool>
{
  bool operator()(const _Tp& __x, const _Tp& __y) const { return __x || __y; }
};

template <class _Tp>
struct logical_not : public unary_function<_Tp,bool>
{
  bool operator()(const _Tp& __x) const { return !__x; }
};

template <class _Predicate>
class unary_negate
  : public unary_function<typename _Predicate::argument_type, bool> {
protected:
  _Predicate _M_pred;
public:
  explicit unary_negate(const _Predicate& __x) : _M_pred(__x) {}
  bool operator()(const typename _Predicate::argument_type& __x) const {
    return !_M_pred(__x);
  }
};

template <class _Predicate>
inline unary_negate<_Predicate> 
not1(const _Predicate& __pred)
{
  return unary_negate<_Predicate>(__pred);
}

template <class _Predicate> 
class binary_negate 
  : public binary_function<typename _Predicate::first_argument_type,
                           typename _Predicate::second_argument_type,
                           bool> {
protected:
  _Predicate _M_pred;
public:
  explicit binary_negate(const _Predicate& __x) : _M_pred(__x) {}
  bool operator()(const typename _Predicate::first_argument_type& __x, 
                  const typename _Predicate::second_argument_type& __y) const
  {
    return !_M_pred(__x, __y); 
  }
};

template <class _Predicate>
inline binary_negate<_Predicate> 
not2(const _Predicate& __pred)
{
  return binary_negate<_Predicate>(__pred);
}

template <class _Operation> 
class binder1st
  : public unary_function<typename _Operation::second_argument_type,
                          typename _Operation::result_type> {
protected:
  _Operation op;
  typename _Operation::first_argument_type value;
public:
  binder1st(const _Operation& __x,
            const typename _Operation::first_argument_type& __y)
      : op(__x), value(__y) {}
  typename _Operation::result_type
  operator()(const typename _Operation::second_argument_type& __x) const {
    return op(value, __x); 
  }
};

template <class _Operation, class _Tp>
inline binder1st<_Operation> 
bind1st(const _Operation& __oper, const _Tp& __x) 
{
  typedef typename _Operation::first_argument_type _Arg1_type;
  return binder1st<_Operation>(__oper, _Arg1_type(__x));
}

template <class _Operation> 
class binder2nd
  : public unary_function<typename _Operation::first_argument_type,
                          typename _Operation::result_type> {
protected:
  _Operation op;
  typename _Operation::second_argument_type value;
public:
  binder2nd(const _Operation& __x,
            const typename _Operation::second_argument_type& __y) 
      : op(__x), value(__y) {}
  typename _Operation::result_type
  operator()(const typename _Operation::first_argument_type& __x) const {
    return op(__x, value); 
  }
};

template <class _Operation, class _Tp>
inline binder2nd<_Operation> 
bind2nd(const _Operation& __oper, const _Tp& __x) 
{
  typedef typename _Operation::second_argument_type _Arg2_type;
  return binder2nd<_Operation>(__oper, _Arg2_type(__x));
}

 

template <class _Operation1, class _Operation2>
class unary_compose
  : public unary_function<typename _Operation2::argument_type,
                          typename _Operation1::result_type> 
{
protected:
  _Operation1 __op1;
  _Operation2 __op2;
public:
  unary_compose(const _Operation1& __x, const _Operation2& __y) 
    : __op1(__x), __op2(__y) {}
  typename _Operation1::result_type
  operator()(const typename _Operation2::argument_type& __x) const {
    return __op1(__op2(__x));
  }
};

template <class _Operation1, class _Operation2>
inline unary_compose<_Operation1,_Operation2> 
compose1(const _Operation1& __op1, const _Operation2& __op2)
{
  return unary_compose<_Operation1,_Operation2>(__op1, __op2);
}

template <class _Operation1, class _Operation2, class _Operation3>
class binary_compose
  : public unary_function<typename _Operation2::argument_type,
                          typename _Operation1::result_type> {
protected:
  _Operation1 _M_op1;
  _Operation2 _M_op2;
  _Operation3 _M_op3;
public:
  binary_compose(const _Operation1& __x, const _Operation2& __y, 
                 const _Operation3& __z) 
    : _M_op1(__x), _M_op2(__y), _M_op3(__z) { }
  typename _Operation1::result_type
  operator()(const typename _Operation2::argument_type& __x) const {
    return _M_op1(_M_op2(__x), _M_op3(__x));
  }
};

template <class _Operation1, class _Operation2, class _Operation3>
inline binary_compose<_Operation1, _Operation2, _Operation3> 
compose2(const _Operation1& __op1, const _Operation2& __op2, 
         const _Operation3& __op3)
{
  return binary_compose<_Operation1,_Operation2,_Operation3>
    (__op1, __op2, __op3);
}

template <class _Arg, class _Result>
class pointer_to_unary_function : public unary_function<_Arg, _Result> {
protected:
  _Result (*_M_ptr)(_Arg);
public:
  pointer_to_unary_function() {}
  explicit pointer_to_unary_function(_Result (*__x)(_Arg)) : _M_ptr(__x) {}
  _Result operator()(_Arg __x) const { return _M_ptr(__x); }
};

template <class _Arg, class _Result>
inline pointer_to_unary_function<_Arg, _Result> ptr_fun(_Result (*__x)(_Arg))
{
  return pointer_to_unary_function<_Arg, _Result>(__x);
}

template <class _Arg1, class _Arg2, class _Result>
class pointer_to_binary_function : 
  public binary_function<_Arg1,_Arg2,_Result> {
protected:
    _Result (*_M_ptr)(_Arg1, _Arg2);
public:
    pointer_to_binary_function() {}
    explicit pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2)) 
      : _M_ptr(__x) {}
    _Result operator()(_Arg1 __x, _Arg2 __y) const {
      return _M_ptr(__x, __y);
    }
};

template <class _Arg1, class _Arg2, class _Result>
inline pointer_to_binary_function<_Arg1,_Arg2,_Result> 
ptr_fun(_Result (*__x)(_Arg1, _Arg2)) {
  return pointer_to_binary_function<_Arg1,_Arg2,_Result>(__x);
}

 
template <class _Tp>
struct _Identity : public unary_function<_Tp,_Tp> {
  const _Tp& operator()(const _Tp& __x) const { return __x; }
};

template <class _Tp> struct identity : public _Identity<_Tp> {};

 
template <class _Pair>
struct _Select1st : public unary_function<_Pair, typename _Pair::first_type> {
  const typename _Pair::first_type& operator()(const _Pair& __x) const {
    return __x.first;
  }
};

template <class _Pair>
struct _Select2nd : public unary_function<_Pair, typename _Pair::second_type>
{
  const typename _Pair::second_type& operator()(const _Pair& __x) const {
    return __x.second;
  }
};

template <class _Pair> struct select1st : public _Select1st<_Pair> {};
template <class _Pair> struct select2nd : public _Select2nd<_Pair> {};

 
template <class _Arg1, class _Arg2>
struct _Project1st : public binary_function<_Arg1, _Arg2, _Arg1> {
  _Arg1 operator()(const _Arg1& __x, const _Arg2&) const { return __x; }
};

template <class _Arg1, class _Arg2>
struct _Project2nd : public binary_function<_Arg1, _Arg2, _Arg2> {
  _Arg2 operator()(const _Arg1&, const _Arg2& __y) const { return __y; }
};

template <class _Arg1, class _Arg2> 
struct project1st : public _Project1st<_Arg1, _Arg2> {};

template <class _Arg1, class _Arg2>
struct project2nd : public _Project2nd<_Arg1, _Arg2> {};

 
 
 
template <class _Result>
struct constant_void_fun
{
  typedef _Result result_type;
  result_type __val;
  constant_void_fun(const result_type& __v) : __val(__v) {}
  const result_type& operator()() const { return __val; }
};  


template <class _Result, class _Argument = _Result>



struct constant_unary_fun : public unary_function<_Argument, _Result> {
  _Result _M_val;
  constant_unary_fun(const _Result& __v) : _M_val(__v) {}
  const _Result& operator()(const _Argument&) const { return _M_val; }
};


template <class _Result, class _Arg1 = _Result, class _Arg2 = _Arg1>



struct constant_binary_fun : public binary_function<_Arg1, _Arg2, _Result> {
  _Result _M_val;
  constant_binary_fun(const _Result& __v) : _M_val(__v) {}
  const _Result& operator()(const _Arg1&, const _Arg2&) const {
    return _M_val;
  }
};

template <class _Result>
inline constant_void_fun<_Result> constant0(const _Result& __val)
{
  return constant_void_fun<_Result>(__val);
}

template <class _Result>
inline constant_unary_fun<_Result,_Result> constant1(const _Result& __val)
{
  return constant_unary_fun<_Result,_Result>(__val);
}

template <class _Result>
inline constant_binary_fun<_Result,_Result,_Result> 
constant2(const _Result& __val)
{
  return constant_binary_fun<_Result,_Result,_Result>(__val);
}

 
 
class subtractive_rng : public unary_function<unsigned int, unsigned int> {
private:
  unsigned int _M_table[55];
  size_t _M_index1;
  size_t _M_index2;
public:
  unsigned int operator()(unsigned int __limit) {
    _M_index1 = (_M_index1 + 1) % 55;
    _M_index2 = (_M_index2 + 1) % 55;
    _M_table[_M_index1] = _M_table[_M_index1] - _M_table[_M_index2];
    return _M_table[_M_index1] % __limit;
  }

  void _M_initialize(unsigned int __seed)
  {
    unsigned int __k = 1;
    _M_table[54] = __seed;
    size_t __i;
    for (__i = 0; __i < 54; __i++) {
        size_t __ii = (21 * (__i + 1) % 55) - 1;
        _M_table[__ii] = __k;
        __k = __seed - __k;
        __seed = _M_table[__ii];
    }
    for (int __loop = 0; __loop < 4; __loop++) {
        for (__i = 0; __i < 55; __i++)
            _M_table[__i] = _M_table[__i] - _M_table[(1 + __i + 30) % 55];
    }
    _M_index1 = 0;
    _M_index2 = 31;
  }

  subtractive_rng(unsigned int __seed) { _M_initialize(__seed); }
  subtractive_rng() { _M_initialize(161803398u); }
};


 

 
 
 
 
 
 
 

 
 
 
 
 

 
 
 
 
 


template <class _Ret, class _Tp>
class mem_fun_t : public unary_function<_Tp*,_Ret> {
public:
  explicit mem_fun_t(_Ret (_Tp::*__pf)()) : _M_f(__pf) {}
  _Ret operator()(_Tp* __p) const { return (__p->*_M_f)(); }
private:
  _Ret (_Tp::*_M_f)();
};

template <class _Ret, class _Tp>
class const_mem_fun_t : public unary_function<const _Tp*,_Ret> {
public:
  explicit const_mem_fun_t(_Ret (_Tp::*__pf)() const) : _M_f(__pf) {}
  _Ret operator()(const _Tp* __p) const { return (__p->*_M_f)(); }
private:
  _Ret (_Tp::*_M_f)() const;
};


template <class _Ret, class _Tp>
class mem_fun_ref_t : public unary_function<_Tp,_Ret> {
public:
  explicit mem_fun_ref_t(_Ret (_Tp::*__pf)()) : _M_f(__pf) {}
  _Ret operator()(_Tp& __r) const { return (__r.*_M_f)(); }
private:
  _Ret (_Tp::*_M_f)();
};

template <class _Ret, class _Tp>
class const_mem_fun_ref_t : public unary_function<_Tp,_Ret> {
public:
  explicit const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const) : _M_f(__pf) {}
  _Ret operator()(const _Tp& __r) const { return (__r.*_M_f)(); }
private:
  _Ret (_Tp::*_M_f)() const;
};

template <class _Ret, class _Tp, class _Arg>
class mem_fun1_t : public binary_function<_Tp*,_Arg,_Ret> {
public:
  explicit mem_fun1_t(_Ret (_Tp::*__pf)(_Arg)) : _M_f(__pf) {}
  _Ret operator()(_Tp* __p, _Arg __x) const { return (__p->*_M_f)(__x); }
private:
  _Ret (_Tp::*_M_f)(_Arg);
};

template <class _Ret, class _Tp, class _Arg>
class const_mem_fun1_t : public binary_function<const _Tp*,_Arg,_Ret> {
public:
  explicit const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const) : _M_f(__pf) {}
  _Ret operator()(const _Tp* __p, _Arg __x) const
    { return (__p->*_M_f)(__x); }
private:
  _Ret (_Tp::*_M_f)(_Arg) const;
};

template <class _Ret, class _Tp, class _Arg>
class mem_fun1_ref_t : public binary_function<_Tp,_Arg,_Ret> {
public:
  explicit mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg)) : _M_f(__pf) {}
  _Ret operator()(_Tp& __r, _Arg __x) const { return (__r.*_M_f)(__x); }
private:
  _Ret (_Tp::*_M_f)(_Arg);
};

template <class _Ret, class _Tp, class _Arg>
class const_mem_fun1_ref_t : public binary_function<_Tp,_Arg,_Ret> {
public:
  explicit const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const) : _M_f(__pf) {}
  _Ret operator()(const _Tp& __r, _Arg __x) const { return (__r.*_M_f)(__x); }
private:
  _Ret (_Tp::*_M_f)(_Arg) const;
};



template <class _Tp>
class mem_fun_t<void, _Tp> : public unary_function<_Tp*,void> {
public:
  explicit mem_fun_t(void (_Tp::*__pf)()) : _M_f(__pf) {}
  void operator()(_Tp* __p) const { (__p->*_M_f)(); }
private:
  void (_Tp::*_M_f)();
};

template <class _Tp>
class const_mem_fun_t<void, _Tp> : public unary_function<const _Tp*,void> {
public:
  explicit const_mem_fun_t(void (_Tp::*__pf)() const) : _M_f(__pf) {}
  void operator()(const _Tp* __p) const { (__p->*_M_f)(); }
private:
  void (_Tp::*_M_f)() const;
};

template <class _Tp>
class mem_fun_ref_t<void, _Tp> : public unary_function<_Tp,void> {
public:
  explicit mem_fun_ref_t(void (_Tp::*__pf)()) : _M_f(__pf) {}
  void operator()(_Tp& __r) const { (__r.*_M_f)(); }
private:
  void (_Tp::*_M_f)();
};

template <class _Tp>
class const_mem_fun_ref_t<void, _Tp> : public unary_function<_Tp,void> {
public:
  explicit const_mem_fun_ref_t(void (_Tp::*__pf)() const) : _M_f(__pf) {}
  void operator()(const _Tp& __r) const { (__r.*_M_f)(); }
private:
  void (_Tp::*_M_f)() const;
};

template <class _Tp, class _Arg>
class mem_fun1_t<void, _Tp, _Arg> : public binary_function<_Tp*,_Arg,void> {
public:
  explicit mem_fun1_t(void (_Tp::*__pf)(_Arg)) : _M_f(__pf) {}
  void operator()(_Tp* __p, _Arg __x) const { (__p->*_M_f)(__x); }
private:
  void (_Tp::*_M_f)(_Arg);
};

template <class _Tp, class _Arg>
class const_mem_fun1_t<void, _Tp, _Arg> 
  : public binary_function<const _Tp*,_Arg,void> {
public:
  explicit const_mem_fun1_t(void (_Tp::*__pf)(_Arg) const) : _M_f(__pf) {}
  void operator()(const _Tp* __p, _Arg __x) const { (__p->*_M_f)(__x); }
private:
  void (_Tp::*_M_f)(_Arg) const;
};

template <class _Tp, class _Arg>
class mem_fun1_ref_t<void, _Tp, _Arg>
  : public binary_function<_Tp,_Arg,void> {
public:
  explicit mem_fun1_ref_t(void (_Tp::*__pf)(_Arg)) : _M_f(__pf) {}
  void operator()(_Tp& __r, _Arg __x) const { (__r.*_M_f)(__x); }
private:
  void (_Tp::*_M_f)(_Arg);
};

template <class _Tp, class _Arg>
class const_mem_fun1_ref_t<void, _Tp, _Arg>
  : public binary_function<_Tp,_Arg,void> {
public:
  explicit const_mem_fun1_ref_t(void (_Tp::*__pf)(_Arg) const) : _M_f(__pf) {}
  void operator()(const _Tp& __r, _Arg __x) const { (__r.*_M_f)(__x); }
private:
  void (_Tp::*_M_f)(_Arg) const;
};



 
 
 
 

template <class _Ret, class _Tp>
inline mem_fun_t<_Ret,_Tp> mem_fun(_Ret (_Tp::*__f)())
  { return mem_fun_t<_Ret,_Tp>(__f); }

template <class _Ret, class _Tp>
inline const_mem_fun_t<_Ret,_Tp> mem_fun(_Ret (_Tp::*__f)() const)
  { return const_mem_fun_t<_Ret,_Tp>(__f); }

template <class _Ret, class _Tp>
inline mem_fun_ref_t<_Ret,_Tp> mem_fun_ref(_Ret (_Tp::*__f)()) 
  { return mem_fun_ref_t<_Ret,_Tp>(__f); }

template <class _Ret, class _Tp>
inline const_mem_fun_ref_t<_Ret,_Tp> mem_fun_ref(_Ret (_Tp::*__f)() const)
  { return const_mem_fun_ref_t<_Ret,_Tp>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline mem_fun1_t<_Ret,_Tp,_Arg> mem_fun(_Ret (_Tp::*__f)(_Arg))
  { return mem_fun1_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline const_mem_fun1_t<_Ret,_Tp,_Arg> mem_fun(_Ret (_Tp::*__f)(_Arg) const)
  { return const_mem_fun1_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline mem_fun1_ref_t<_Ret,_Tp,_Arg> mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
  { return mem_fun1_ref_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline const_mem_fun1_ref_t<_Ret,_Tp,_Arg>
mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
  { return const_mem_fun1_ref_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline mem_fun1_t<_Ret,_Tp,_Arg> mem_fun1(_Ret (_Tp::*__f)(_Arg))
  { return mem_fun1_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline const_mem_fun1_t<_Ret,_Tp,_Arg> mem_fun1(_Ret (_Tp::*__f)(_Arg) const)
  { return const_mem_fun1_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline mem_fun1_ref_t<_Ret,_Tp,_Arg> mem_fun1_ref(_Ret (_Tp::*__f)(_Arg))
  { return mem_fun1_ref_t<_Ret,_Tp,_Arg>(__f); }

template <class _Ret, class _Tp, class _Arg>
inline const_mem_fun1_ref_t<_Ret,_Tp,_Arg>
mem_fun1_ref(_Ret (_Tp::*__f)(_Arg) const)
  { return const_mem_fun1_ref_t<_Ret,_Tp,_Arg>(__f); }

 



 
 
 
# 59 "/usr/include/g++/stl_tree.h" 2 3


  





typedef bool _Rb_tree_Color_type;
const _Rb_tree_Color_type _S_rb_tree_red = false;
const _Rb_tree_Color_type _S_rb_tree_black = true;

struct _Rb_tree_node_base
{
  typedef _Rb_tree_Color_type _Color_type;
  typedef _Rb_tree_node_base* _Base_ptr;

  _Color_type _M_color; 
  _Base_ptr _M_parent;
  _Base_ptr _M_left;
  _Base_ptr _M_right;

  static _Base_ptr _S_minimum(_Base_ptr __x)
  {
    while (__x->_M_left != 0) __x = __x->_M_left;
    return __x;
  }

  static _Base_ptr _S_maximum(_Base_ptr __x)
  {
    while (__x->_M_right != 0) __x = __x->_M_right;
    return __x;
  }
};

template <class _Value>
struct _Rb_tree_node : public _Rb_tree_node_base
{
  typedef _Rb_tree_node<_Value>* _Link_type;
  _Value _M_value_field;
};


struct _Rb_tree_base_iterator
{
  typedef _Rb_tree_node_base::_Base_ptr _Base_ptr;
  typedef bidirectional_iterator_tag iterator_category;
  typedef ptrdiff_t difference_type;
  _Base_ptr _M_node;

  void _M_increment()
  {
    if (_M_node->_M_right != 0) {
      _M_node = _M_node->_M_right;
      while (_M_node->_M_left != 0)
        _M_node = _M_node->_M_left;
    }
    else {
      _Base_ptr __y = _M_node->_M_parent;
      while (_M_node == __y->_M_right) {
        _M_node = __y;
        __y = __y->_M_parent;
      }
      if (_M_node->_M_right != __y)
        _M_node = __y;
    }
  }

  void _M_decrement()
  {
    if (_M_node->_M_color == _S_rb_tree_red &&
        _M_node->_M_parent->_M_parent == _M_node)
      _M_node = _M_node->_M_right;
    else if (_M_node->_M_left != 0) {
      _Base_ptr __y = _M_node->_M_left;
      while (__y->_M_right != 0)
        __y = __y->_M_right;
      _M_node = __y;
    }
    else {
      _Base_ptr __y = _M_node->_M_parent;
      while (_M_node == __y->_M_left) {
        _M_node = __y;
        __y = __y->_M_parent;
      }
      _M_node = __y;
    }
  }
};

template <class _Value, class _Ref, class _Ptr>
struct _Rb_tree_iterator : public _Rb_tree_base_iterator
{
  typedef _Value value_type;
  typedef _Ref reference;
  typedef _Ptr pointer;
  typedef _Rb_tree_iterator<_Value, _Value&, _Value*>             
    iterator;
  typedef _Rb_tree_iterator<_Value, const _Value&, const _Value*> 
    const_iterator;
  typedef _Rb_tree_iterator<_Value, _Ref, _Ptr>                   
    _Self;
  typedef _Rb_tree_node<_Value>* _Link_type;

  _Rb_tree_iterator() {}
  _Rb_tree_iterator(_Link_type __x) { _M_node = __x; }
  _Rb_tree_iterator(const iterator& __it) { _M_node = __it._M_node; }

  reference operator*() const { return _Link_type(_M_node)->_M_value_field; }

  pointer operator->() const { return &(operator*()); }


  _Self& operator++() { _M_increment(); return *this; }
  _Self operator++(int) {
    _Self __tmp = *this;
    _M_increment();
    return __tmp;
  }
    
  _Self& operator--() { _M_decrement(); return *this; }
  _Self operator--(int) {
    _Self __tmp = *this;
    _M_decrement();
    return __tmp;
  }
};

inline bool operator==(const _Rb_tree_base_iterator& __x,
                       const _Rb_tree_base_iterator& __y) {
  return __x._M_node == __y._M_node;
}

inline bool operator!=(const _Rb_tree_base_iterator& __x,
                       const _Rb_tree_base_iterator& __y) {
  return __x._M_node != __y._M_node;
}

# 214 "/usr/include/g++/stl_tree.h" 3


inline void 
_Rb_tree_rotate_left(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
  _Rb_tree_node_base* __y = __x->_M_right;
  __x->_M_right = __y->_M_left;
  if (__y->_M_left !=0)
    __y->_M_left->_M_parent = __x;
  __y->_M_parent = __x->_M_parent;

  if (__x == __root)
    __root = __y;
  else if (__x == __x->_M_parent->_M_left)
    __x->_M_parent->_M_left = __y;
  else
    __x->_M_parent->_M_right = __y;
  __y->_M_left = __x;
  __x->_M_parent = __y;
}

inline void 
_Rb_tree_rotate_right(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
  _Rb_tree_node_base* __y = __x->_M_left;
  __x->_M_left = __y->_M_right;
  if (__y->_M_right != 0)
    __y->_M_right->_M_parent = __x;
  __y->_M_parent = __x->_M_parent;

  if (__x == __root)
    __root = __y;
  else if (__x == __x->_M_parent->_M_right)
    __x->_M_parent->_M_right = __y;
  else
    __x->_M_parent->_M_left = __y;
  __y->_M_right = __x;
  __x->_M_parent = __y;
}

inline void 
_Rb_tree_rebalance(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root)
{
  __x->_M_color = _S_rb_tree_red;
  while (__x != __root && __x->_M_parent->_M_color == _S_rb_tree_red) {
    if (__x->_M_parent == __x->_M_parent->_M_parent->_M_left) {
      _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_right;
      if (__y && __y->_M_color == _S_rb_tree_red) {
        __x->_M_parent->_M_color = _S_rb_tree_black;
        __y->_M_color = _S_rb_tree_black;
        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
        __x = __x->_M_parent->_M_parent;
      }
      else {
        if (__x == __x->_M_parent->_M_right) {
          __x = __x->_M_parent;
          _Rb_tree_rotate_left(__x, __root);
        }
        __x->_M_parent->_M_color = _S_rb_tree_black;
        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
        _Rb_tree_rotate_right(__x->_M_parent->_M_parent, __root);
      }
    }
    else {
      _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_left;
      if (__y && __y->_M_color == _S_rb_tree_red) {
        __x->_M_parent->_M_color = _S_rb_tree_black;
        __y->_M_color = _S_rb_tree_black;
        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
        __x = __x->_M_parent->_M_parent;
      }
      else {
        if (__x == __x->_M_parent->_M_left) {
          __x = __x->_M_parent;
          _Rb_tree_rotate_right(__x, __root);
        }
        __x->_M_parent->_M_color = _S_rb_tree_black;
        __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red;
        _Rb_tree_rotate_left(__x->_M_parent->_M_parent, __root);
      }
    }
  }
  __root->_M_color = _S_rb_tree_black;
}

inline _Rb_tree_node_base*
_Rb_tree_rebalance_for_erase(_Rb_tree_node_base* __z,
                             _Rb_tree_node_base*& __root,
                             _Rb_tree_node_base*& __leftmost,
                             _Rb_tree_node_base*& __rightmost)
{
  _Rb_tree_node_base* __y = __z;
  _Rb_tree_node_base* __x = 0;
  _Rb_tree_node_base* __x_parent = 0;
  if (__y->_M_left == 0)      
    __x = __y->_M_right;      
  else
    if (__y->_M_right == 0)   
      __x = __y->_M_left;     
    else {                    
      __y = __y->_M_right;    
      while (__y->_M_left != 0)
        __y = __y->_M_left;
      __x = __y->_M_right;
    }
  if (__y != __z) {           
    __z->_M_left->_M_parent = __y; 
    __y->_M_left = __z->_M_left;
    if (__y != __z->_M_right) {
      __x_parent = __y->_M_parent;
      if (__x) __x->_M_parent = __y->_M_parent;
      __y->_M_parent->_M_left = __x;       
      __y->_M_right = __z->_M_right;
      __z->_M_right->_M_parent = __y;
    }
    else
      __x_parent = __y;  
    if (__root == __z)
      __root = __y;
    else if (__z->_M_parent->_M_left == __z)
      __z->_M_parent->_M_left = __y;
    else 
      __z->_M_parent->_M_right = __y;
    __y->_M_parent = __z->_M_parent;
     ::swap(__y->_M_color, __z->_M_color);
    __y = __z;
     
  }
  else {                         
    __x_parent = __y->_M_parent;
    if (__x) __x->_M_parent = __y->_M_parent;   
    if (__root == __z)
      __root = __x;
    else 
      if (__z->_M_parent->_M_left == __z)
        __z->_M_parent->_M_left = __x;
      else
        __z->_M_parent->_M_right = __x;
    if (__leftmost == __z) 
      if (__z->_M_right == 0)         
        __leftmost = __z->_M_parent;
     
      else
        __leftmost = _Rb_tree_node_base::_S_minimum(__x);
    if (__rightmost == __z)  
      if (__z->_M_left == 0)          
        __rightmost = __z->_M_parent;  
     
      else                       
        __rightmost = _Rb_tree_node_base::_S_maximum(__x);
  }
  if (__y->_M_color != _S_rb_tree_red) { 
    while (__x != __root && (__x == 0 || __x->_M_color == _S_rb_tree_black))
      if (__x == __x_parent->_M_left) {
        _Rb_tree_node_base* __w = __x_parent->_M_right;
        if (__w->_M_color == _S_rb_tree_red) {
          __w->_M_color = _S_rb_tree_black;
          __x_parent->_M_color = _S_rb_tree_red;
          _Rb_tree_rotate_left(__x_parent, __root);
          __w = __x_parent->_M_right;
        }
        if ((__w->_M_left == 0 || 
             __w->_M_left->_M_color == _S_rb_tree_black) &&
            (__w->_M_right == 0 || 
             __w->_M_right->_M_color == _S_rb_tree_black)) {
          __w->_M_color = _S_rb_tree_red;
          __x = __x_parent;
          __x_parent = __x_parent->_M_parent;
        } else {
          if (__w->_M_right == 0 || 
              __w->_M_right->_M_color == _S_rb_tree_black) {
            if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;
            __w->_M_color = _S_rb_tree_red;
            _Rb_tree_rotate_right(__w, __root);
            __w = __x_parent->_M_right;
          }
          __w->_M_color = __x_parent->_M_color;
          __x_parent->_M_color = _S_rb_tree_black;
          if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;
          _Rb_tree_rotate_left(__x_parent, __root);
          break;
        }
      } else {                   
        _Rb_tree_node_base* __w = __x_parent->_M_left;
        if (__w->_M_color == _S_rb_tree_red) {
          __w->_M_color = _S_rb_tree_black;
          __x_parent->_M_color = _S_rb_tree_red;
          _Rb_tree_rotate_right(__x_parent, __root);
          __w = __x_parent->_M_left;
        }
        if ((__w->_M_right == 0 || 
             __w->_M_right->_M_color == _S_rb_tree_black) &&
            (__w->_M_left == 0 || 
             __w->_M_left->_M_color == _S_rb_tree_black)) {
          __w->_M_color = _S_rb_tree_red;
          __x = __x_parent;
          __x_parent = __x_parent->_M_parent;
        } else {
          if (__w->_M_left == 0 || 
              __w->_M_left->_M_color == _S_rb_tree_black) {
            if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black;
            __w->_M_color = _S_rb_tree_red;
            _Rb_tree_rotate_left(__w, __root);
            __w = __x_parent->_M_left;
          }
          __w->_M_color = __x_parent->_M_color;
          __x_parent->_M_color = _S_rb_tree_black;
          if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black;
          _Rb_tree_rotate_right(__x_parent, __root);
          break;
        }
      }
    if (__x) __x->_M_color = _S_rb_tree_black;
  }
  return __y;
}

 
 
 
 



 
template <class _Tp, class _Alloc, bool _S_instanceless>
class _Rb_tree_alloc_base {
public:
  typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
  allocator_type get_allocator() const { return _M_node_allocator; }

  _Rb_tree_alloc_base(const allocator_type& __a)
    : _M_node_allocator(__a), _M_header(0) {}

protected:
  typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::allocator_type
           _M_node_allocator;
  _Rb_tree_node<_Tp>* _M_header;

  _Rb_tree_node<_Tp>* _M_get_node() 
    { return _M_node_allocator.allocate(1); }
  void _M_put_node(_Rb_tree_node<_Tp>* __p) 
    { _M_node_allocator.deallocate(__p, 1); }
};

 
template <class _Tp, class _Alloc>
class _Rb_tree_alloc_base<_Tp, _Alloc, true> {
public:
  typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
  allocator_type get_allocator() const { return allocator_type(); }

  _Rb_tree_alloc_base(const allocator_type&) : _M_header(0) {}

protected:
  _Rb_tree_node<_Tp>* _M_header;

  typedef typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::_Alloc_type
          _Alloc_type;

  _Rb_tree_node<_Tp>* _M_get_node()
    { return _Alloc_type::allocate(1); }
  void _M_put_node(_Rb_tree_node<_Tp>* __p)
    { _Alloc_type::deallocate(__p, 1); }
};

template <class _Tp, class _Alloc>
struct _Rb_tree_base
  : public _Rb_tree_alloc_base<_Tp, _Alloc,
                               _Alloc_traits<_Tp, _Alloc>::_S_instanceless>
{
  typedef _Rb_tree_alloc_base<_Tp, _Alloc,
                              _Alloc_traits<_Tp, _Alloc>::_S_instanceless>
          _Base;
  typedef typename _Base::allocator_type allocator_type;

  _Rb_tree_base(const allocator_type& __a) 
    : _Base(__a) { _M_header = _M_get_node(); }
  ~_Rb_tree_base() { _M_put_node(_M_header); }

};

# 519 "/usr/include/g++/stl_tree.h" 3


template <class _Key, class _Value, class _KeyOfValue, class _Compare,
          class _Alloc = allocator< _Value >  >
class _Rb_tree : protected _Rb_tree_base<_Value, _Alloc> {
  typedef _Rb_tree_base<_Value, _Alloc> _Base;
protected:
  typedef _Rb_tree_node_base* _Base_ptr;
  typedef _Rb_tree_node<_Value> _Rb_tree_node;
  typedef _Rb_tree_Color_type _Color_type;
public:
  typedef _Key key_type;
  typedef _Value value_type;
  typedef value_type* pointer;
  typedef const value_type* const_pointer;
  typedef value_type& reference;
  typedef const value_type& const_reference;
  typedef _Rb_tree_node* _Link_type;
  typedef size_t size_type;
  typedef ptrdiff_t difference_type;

  typedef typename _Base::allocator_type allocator_type;
  allocator_type get_allocator() const { return _Base::get_allocator(); }

protected:






protected:

  _Link_type _M_create_node(const value_type& __x)
  {
    _Link_type __tmp = _M_get_node();
    try  {
      construct(&__tmp->_M_value_field, __x);
    }
    catch(...) {  _M_put_node(__tmp) ; throw; } ;
    return __tmp;
  }

  _Link_type _M_clone_node(_Link_type __x)
  {
    _Link_type __tmp = _M_create_node(__x->_M_value_field);
    __tmp->_M_color = __x->_M_color;
    __tmp->_M_left = 0;
    __tmp->_M_right = 0;
    return __tmp;
  }

  void destroy_node(_Link_type __p)
  {
    destroy(&__p->_M_value_field);
    _M_put_node(__p);
  }

protected:
  size_type _M_node_count;  
  _Compare _M_key_compare;

  _Link_type& _M_root() const 
    { return (_Link_type&) _M_header->_M_parent; }
  _Link_type& _M_leftmost() const 
    { return (_Link_type&) _M_header->_M_left; }
  _Link_type& _M_rightmost() const 
    { return (_Link_type&) _M_header->_M_right; }

  static _Link_type& _S_left(_Link_type __x)
    { return (_Link_type&)(__x->_M_left); }
  static _Link_type& _S_right(_Link_type __x)
    { return (_Link_type&)(__x->_M_right); }
  static _Link_type& _S_parent(_Link_type __x)
    { return (_Link_type&)(__x->_M_parent); }
  static reference _S_value(_Link_type __x)
    { return __x->_M_value_field; }
  static const _Key& _S_key(_Link_type __x)
    { return _KeyOfValue()(_S_value(__x)); }
  static _Color_type& _S_color(_Link_type __x)
    { return (_Color_type&)(__x->_M_color); }

  static _Link_type& _S_left(_Base_ptr __x)
    { return (_Link_type&)(__x->_M_left); }
  static _Link_type& _S_right(_Base_ptr __x)
    { return (_Link_type&)(__x->_M_right); }
  static _Link_type& _S_parent(_Base_ptr __x)
    { return (_Link_type&)(__x->_M_parent); }
  static reference _S_value(_Base_ptr __x)
    { return ((_Link_type)__x)->_M_value_field; }
  static const _Key& _S_key(_Base_ptr __x)
    { return _KeyOfValue()(_S_value(_Link_type(__x)));} 
  static _Color_type& _S_color(_Base_ptr __x)
    { return (_Color_type&)(_Link_type(__x)->_M_color); }

  static _Link_type _S_minimum(_Link_type __x) 
    { return (_Link_type)  _Rb_tree_node_base::_S_minimum(__x); }

  static _Link_type _S_maximum(_Link_type __x)
    { return (_Link_type) _Rb_tree_node_base::_S_maximum(__x); }

public:
  typedef _Rb_tree_iterator<value_type, reference, pointer> iterator;
  typedef _Rb_tree_iterator<value_type, const_reference, const_pointer> 
          const_iterator;


  typedef reverse_iterator<const_iterator> const_reverse_iterator;
  typedef reverse_iterator<iterator> reverse_iterator;







 

private:
  iterator _M_insert(_Base_ptr __x, _Base_ptr __y, const value_type& __v);
  _Link_type _M_copy(_Link_type __x, _Link_type __p);
  void _M_erase(_Link_type __x);

public:
                                 
  _Rb_tree()
    : _Base(allocator_type()), _M_node_count(0), _M_key_compare()
    { _M_empty_initialize(); }

  _Rb_tree(const _Compare& __comp)
    : _Base(allocator_type()), _M_node_count(0), _M_key_compare(__comp) 
    { _M_empty_initialize(); }

  _Rb_tree(const _Compare& __comp, const allocator_type& __a)
    : _Base(__a), _M_node_count(0), _M_key_compare(__comp) 
    { _M_empty_initialize(); }

  _Rb_tree(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x) 
    : _Base(__x.get_allocator()),
      _M_node_count(0), _M_key_compare(__x._M_key_compare)
  { 
    if (__x._M_root() == 0)
      _M_empty_initialize();
    else {
      _S_color(_M_header) = _S_rb_tree_red;
      _M_root() = _M_copy(__x._M_root(), _M_header);
      _M_leftmost() = _S_minimum(_M_root());
      _M_rightmost() = _S_maximum(_M_root());
    }
    _M_node_count = __x._M_node_count;
  }
  ~_Rb_tree() { clear(); }
  _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& 
  operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x);

private:
  void _M_empty_initialize() {
    _S_color(_M_header) = _S_rb_tree_red;  
                                           
    _M_root() = 0;
    _M_leftmost() = _M_header;
    _M_rightmost() = _M_header;
  }

public:    
                                 
  _Compare key_comp() const { return _M_key_compare; }
  iterator begin() { return _M_leftmost(); }
  const_iterator begin() const { return _M_leftmost(); }
  iterator end() { return _M_header; }
  const_iterator end() const { return _M_header; }
  reverse_iterator rbegin() { return reverse_iterator(end()); }
  const_reverse_iterator rbegin() const { 
    return const_reverse_iterator(end()); 
  }
  reverse_iterator rend() { return reverse_iterator(begin()); }
  const_reverse_iterator rend() const { 
    return const_reverse_iterator(begin());
  } 
  bool empty() const { return _M_node_count == 0; }
  size_type size() const { return _M_node_count; }
  size_type max_size() const { return size_type(-1); }

  void swap(_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __t) {
     ::swap(_M_header, __t._M_header);
     ::swap(_M_node_count, __t._M_node_count);
     ::swap(_M_key_compare, __t._M_key_compare);
  }
    
public:
                                 
  pair<iterator,bool> insert_unique(const value_type& __x);
  iterator insert_equal(const value_type& __x);

  iterator insert_unique(iterator __position, const value_type& __x);
  iterator insert_equal(iterator __position, const value_type& __x);


  template <class _InputIterator>
  void insert_unique(_InputIterator __first, _InputIterator __last);
  template <class _InputIterator>
  void insert_equal(_InputIterator __first, _InputIterator __last);







  void erase(iterator __position);
  size_type erase(const key_type& __x);
  void erase(iterator __first, iterator __last);
  void erase(const key_type* __first, const key_type* __last);
  void clear() {
    if (_M_node_count != 0) {
      _M_erase(_M_root());
      _M_leftmost() = _M_header;
      _M_root() = 0;
      _M_rightmost() = _M_header;
      _M_node_count = 0;
    }
  }      

public:
                                 
  iterator find(const key_type& __x);
  const_iterator find(const key_type& __x) const;
  size_type count(const key_type& __x) const;
  iterator lower_bound(const key_type& __x);
  const_iterator lower_bound(const key_type& __x) const;
  iterator upper_bound(const key_type& __x);
  const_iterator upper_bound(const key_type& __x) const;
  pair<iterator,iterator> equal_range(const key_type& __x);
  pair<const_iterator, const_iterator> equal_range(const key_type& __x) const;

public:
                                 
  bool __rb_verify() const;
};

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
inline bool 
operator==(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, 
           const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
  return __x.size() == __y.size() &&
         equal(__x.begin(), __x.end(), __y.begin());
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
inline bool 
operator<(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, 
          const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
  return lexicographical_compare(__x.begin(), __x.end(), 
                                 __y.begin(), __y.end());
}



template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
inline void 
swap(_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, 
     _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y)
{
  __x.swap(__y);
}




template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x)
{
  if (this != &__x) {
                                 
    clear();
    _M_node_count = 0;
    _M_key_compare = __x._M_key_compare;        
    if (__x._M_root() == 0) {
      _M_root() = 0;
      _M_leftmost() = _M_header;
      _M_rightmost() = _M_header;
    }
    else {
      _M_root() = _M_copy(__x._M_root(), _M_header);
      _M_leftmost() = _S_minimum(_M_root());
      _M_rightmost() = _S_maximum(_M_root());
      _M_node_count = __x._M_node_count;
    }
  }
  return *this;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::_M_insert(_Base_ptr __x_, _Base_ptr __y_, const _Value& __v)
{
  _Link_type __x = (_Link_type) __x_;
  _Link_type __y = (_Link_type) __y_;
  _Link_type __z;

  if (__y == _M_header || __x != 0 || 
      _M_key_compare(_KeyOfValue()(__v), _S_key(__y))) {
    __z = _M_create_node(__v);
    _S_left(__y) = __z;                
                                       
    if (__y == _M_header) {
      _M_root() = __z;
      _M_rightmost() = __z;
    }
    else if (__y == _M_leftmost())
      _M_leftmost() = __z;    
  }
  else {
    __z = _M_create_node(__v);
    _S_right(__y) = __z;
    if (__y == _M_rightmost())
      _M_rightmost() = __z;   
  }
  _S_parent(__z) = __y;
  _S_left(__z) = 0;
  _S_right(__z) = 0;
  _Rb_tree_rebalance(__z, _M_header->_M_parent);
  ++_M_node_count;
  return iterator(__z);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::insert_equal(const _Value& __v)
{
  _Link_type __y = _M_header;
  _Link_type __x = _M_root();
  while (__x != 0) {
    __y = __x;
    __x = _M_key_compare(_KeyOfValue()(__v), _S_key(__x)) ? 
            _S_left(__x) : _S_right(__x);
  }
  return _M_insert(__x, __y, __v);
}


template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
pair<typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator, 
     bool>
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::insert_unique(const _Value& __v)
{
  _Link_type __y = _M_header;
  _Link_type __x = _M_root();
  bool __comp = true;
  while (__x != 0) {
    __y = __x;
    __comp = _M_key_compare(_KeyOfValue()(__v), _S_key(__x));
    __x = __comp ? _S_left(__x) : _S_right(__x);
  }
  iterator __j = iterator(__y);   
  if (__comp)
    if (__j == begin())     
      return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
    else
      --__j;
  if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v)))
    return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
  return pair<iterator,bool>(__j, false);
}


template <class _Key, class _Val, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator 
_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>
  ::insert_unique(iterator __position, const _Val& __v)
{
  if (__position._M_node == _M_header->_M_left) {  
    if (size() > 0 && 
        _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node)))
      return _M_insert(__position._M_node, __position._M_node, __v);
     
    else
      return insert_unique(__v).first;
  } else if (__position._M_node == _M_header) {  
    if (_M_key_compare(_S_key(_M_rightmost()), _KeyOfValue()(__v)))
      return _M_insert(0, _M_rightmost(), __v);
    else
      return insert_unique(__v).first;
  } else {
    iterator __before = __position;
    --__before;
    if (_M_key_compare(_S_key(__before._M_node), _KeyOfValue()(__v)) 
        && _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node))) {
      if (_S_right(__before._M_node) == 0)
        return _M_insert(0, __before._M_node, __v); 
      else
        return _M_insert(__position._M_node, __position._M_node, __v);
     
    } else
      return insert_unique(__v).first;
  }
}

template <class _Key, class _Val, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator 
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>
  ::insert_equal(iterator __position, const _Val& __v)
{
  if (__position._M_node == _M_header->_M_left) {  
    if (size() > 0 && 
        _M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node)))
      return _M_insert(__position._M_node, __position._M_node, __v);
     
    else
      return insert_equal(__v);
  } else if (__position._M_node == _M_header) { 
    if (!_M_key_compare(_KeyOfValue()(__v), _S_key(_M_rightmost())))
      return _M_insert(0, _M_rightmost(), __v);
    else
      return insert_equal(__v);
  } else {
    iterator __before = __position;
    --__before;
    if (!_M_key_compare(_KeyOfValue()(__v), _S_key(__before._M_node))
        && !_M_key_compare(_S_key(__position._M_node), _KeyOfValue()(__v))) {
      if (_S_right(__before._M_node) == 0)
        return _M_insert(0, __before._M_node, __v); 
      else
        return _M_insert(__position._M_node, __position._M_node, __v);
     
    } else
      return insert_equal(__v);
  }
}



template <class _Key, class _Val, class _KoV, class _Cmp, class _Alloc>
  template<class _II>
void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc>
  ::insert_equal(_II __first, _II __last)
{
  for ( ; __first != __last; ++__first)
    insert_equal(*__first);
}

template <class _Key, class _Val, class _KoV, class _Cmp, class _Alloc> 
  template<class _II>
void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc>
  ::insert_unique(_II __first, _II __last) {
  for ( ; __first != __last; ++__first)
    insert_unique(*__first);
}

# 1021 "/usr/include/g++/stl_tree.h" 3

         
template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
inline void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::erase(iterator __position)
{
  _Link_type __y = 
    (_Link_type) _Rb_tree_rebalance_for_erase(__position._M_node,
                                              _M_header->_M_parent,
                                              _M_header->_M_left,
                                              _M_header->_M_right);
  destroy_node(__y);
  --_M_node_count;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::size_type 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::erase(const _Key& __x)
{
  pair<iterator,iterator> __p = equal_range(__x);
  size_type __n = 0;
  distance(__p.first, __p.second, __n);
  erase(__p.first, __p.second);
  return __n;
}

template <class _Key, class _Val, class _KoV, class _Compare, class _Alloc>
typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type 
_Rb_tree<_Key,_Val,_KoV,_Compare,_Alloc>
  ::_M_copy(_Link_type __x, _Link_type __p)
{
                         
  _Link_type __top = _M_clone_node(__x);
  __top->_M_parent = __p;
 
  try  {
    if (__x->_M_right)
      __top->_M_right = _M_copy(_S_right(__x), __top);
    __p = __top;
    __x = _S_left(__x);

    while (__x != 0) {
      _Link_type __y = _M_clone_node(__x);
      __p->_M_left = __y;
      __y->_M_parent = __p;
      if (__x->_M_right)
        __y->_M_right = _M_copy(_S_right(__x), __y);
      __p = __y;
      __x = _S_left(__x);
    }
  }
  catch(...) {  _M_erase(__top) ; throw; } ;

  return __top;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::_M_erase(_Link_type __x)
{
                                 
  while (__x != 0) {
    _M_erase(_S_right(__x));
    _Link_type __y = _S_left(__x);
    destroy_node(__x);
    __x = __y;
  }
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::erase(iterator __first, iterator __last)
{
  if (__first == begin() && __last == end())
    clear();
  else
    while (__first != __last) erase(__first++);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::erase(const _Key* __first, const _Key* __last) 
{
  while (__first != __last) erase(*__first++);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::find(const _Key& __k)
{
  _Link_type __y = _M_header;       
  _Link_type __x = _M_root();       

  while (__x != 0) 
    if (!_M_key_compare(_S_key(__x), __k))
      __y = __x, __x = _S_left(__x);
    else
      __x = _S_right(__x);

  iterator __j = iterator(__y);   
  return (__j == end() || _M_key_compare(__k, _S_key(__j._M_node))) ? 
     end() : __j;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::find(const _Key& __k) const
{
  _Link_type __y = _M_header;  
  _Link_type __x = _M_root();  

  while (__x != 0) {
    if (!_M_key_compare(_S_key(__x), __k))
      __y = __x, __x = _S_left(__x);
    else
      __x = _S_right(__x);
  }
  const_iterator __j = const_iterator(__y);   
  return (__j == end() || _M_key_compare(__k, _S_key(__j._M_node))) ?
    end() : __j;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::size_type 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::count(const _Key& __k) const
{
  pair<const_iterator, const_iterator> __p = equal_range(__k);
  size_type __n = 0;
  distance(__p.first, __p.second, __n);
  return __n;
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::lower_bound(const _Key& __k)
{
  _Link_type __y = _M_header;  
  _Link_type __x = _M_root();  

  while (__x != 0) 
    if (!_M_key_compare(_S_key(__x), __k))
      __y = __x, __x = _S_left(__x);
    else
      __x = _S_right(__x);

  return iterator(__y);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::lower_bound(const _Key& __k) const
{
  _Link_type __y = _M_header;  
  _Link_type __x = _M_root();  

  while (__x != 0) 
    if (!_M_key_compare(_S_key(__x), __k))
      __y = __x, __x = _S_left(__x);
    else
      __x = _S_right(__x);

  return const_iterator(__y);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::upper_bound(const _Key& __k)
{
  _Link_type __y = _M_header;  
  _Link_type __x = _M_root();  

   while (__x != 0) 
     if (_M_key_compare(__k, _S_key(__x)))
       __y = __x, __x = _S_left(__x);
     else
       __x = _S_right(__x);

   return iterator(__y);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator 
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::upper_bound(const _Key& __k) const
{
  _Link_type __y = _M_header;  
  _Link_type __x = _M_root();  

   while (__x != 0) 
     if (_M_key_compare(__k, _S_key(__x)))
       __y = __x, __x = _S_left(__x);
     else
       __x = _S_right(__x);

   return const_iterator(__y);
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
inline 
pair<typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator,
     typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator>
_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>
  ::equal_range(const _Key& __k)
{
  return pair<iterator, iterator>(lower_bound(__k), upper_bound(__k));
}

template <class _Key, class _Value, class _KoV, class _Compare, class _Alloc>
inline 
pair<typename _Rb_tree<_Key, _Value, _KoV, _Compare, _Alloc>::const_iterator,
     typename _Rb_tree<_Key, _Value, _KoV, _Compare, _Alloc>::const_iterator>
_Rb_tree<_Key, _Value, _KoV, _Compare, _Alloc>
  ::equal_range(const _Key& __k) const
{
  return pair<const_iterator,const_iterator>(lower_bound(__k),
                                             upper_bound(__k));
}

inline int 
__black_count(_Rb_tree_node_base* __node, _Rb_tree_node_base* __root)
{
  if (__node == 0)
    return 0;
  else {
    int __bc = __node->_M_color == _S_rb_tree_black ? 1 : 0;
    if (__node == __root)
      return __bc;
    else
      return __bc + __black_count(__node->_M_parent, __root);
  }
}

template <class _Key, class _Value, class _KeyOfValue, 
          class _Compare, class _Alloc>
bool _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const
{
  if (_M_node_count == 0 || begin() == end())
    return _M_node_count == 0 && begin() == end() &&
      _M_header->_M_left == _M_header && _M_header->_M_right == _M_header;
  
  int __len = __black_count(_M_leftmost(), _M_root());
  for (const_iterator __it = begin(); __it != end(); ++__it) {
    _Link_type __x = (_Link_type) __it._M_node;
    _Link_type __L = _S_left(__x);
    _Link_type __R = _S_right(__x);

    if (__x->_M_color == _S_rb_tree_red)
      if ((__L && __L->_M_color == _S_rb_tree_red) ||
          (__R && __R->_M_color == _S_rb_tree_red))
        return false;

    if (__L && _M_key_compare(_S_key(__x), _S_key(__L)))
      return false;
    if (__R && _M_key_compare(_S_key(__R), _S_key(__x)))
      return false;

    if (!__L && !__R && __black_count(__x, _M_root()) != __len)
      return false;
  }

  if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
    return false;
  if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))
    return false;

  return true;
}

 
 

template <class _Key, class _Value, class _KeyOfValue, class _Compare,
          class _Alloc = allocator< _Value >  >
struct rb_tree : public _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc>
{
  typedef _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc> _Base;
  typedef typename _Base::allocator_type allocator_type;

  rb_tree(const _Compare& __comp = _Compare(),
          const allocator_type& __a = allocator_type())
    : _Base(__comp, __a) {}
  
  ~rb_tree() {}
};





  



 
 
 
# 31 "/usr/include/g++/map" 2 3


# 1 "/usr/include/g++/stl_map.h" 1 3
 

























 






 







template <class _Key, class _Tp, class _Compare = less<_Key>,
          class _Alloc = allocator< _Tp >  >




class map {
public:

 

  typedef _Key                  key_type;
  typedef _Tp                   data_type;
  typedef _Tp                   mapped_type;
  typedef pair<const _Key, _Tp> value_type;
  typedef _Compare              key_compare;
    
  class value_compare
    : public binary_function<value_type, value_type, bool> {
  friend class map<_Key,_Tp,_Compare,_Alloc>;
  protected :
    _Compare _M_comp;
    value_compare(_Compare __c) : _M_comp(__c) {}
  public:
    bool operator()(const value_type& __x, const value_type& __y) const {
      return _M_comp(__x.first, __y.first);
    }
  };

private:
  typedef _Rb_tree<key_type, value_type, 
                   _Select1st<value_type>, key_compare, _Alloc> _Rep_type;
  _Rep_type _M_t;   
public:
  typedef typename _Rep_type::pointer pointer;
  typedef typename _Rep_type::const_pointer const_pointer;
  typedef typename _Rep_type::reference reference;
  typedef typename _Rep_type::const_reference const_reference;
  typedef typename _Rep_type::iterator iterator;
  typedef typename _Rep_type::const_iterator const_iterator;
  typedef typename _Rep_type::reverse_iterator reverse_iterator;
  typedef typename _Rep_type::const_reverse_iterator const_reverse_iterator;
  typedef typename _Rep_type::size_type size_type;
  typedef typename _Rep_type::difference_type difference_type;
  typedef typename _Rep_type::allocator_type allocator_type;

   

  map() : _M_t(_Compare(), allocator_type()) {}
  explicit map(const _Compare& __comp,
               const allocator_type& __a = allocator_type())
    : _M_t(__comp, __a) {}


  template <class _InputIterator>
  map(_InputIterator __first, _InputIterator __last)
    : _M_t(_Compare(), allocator_type())
    { _M_t.insert_unique(__first, __last); }

  template <class _InputIterator>
  map(_InputIterator __first, _InputIterator __last, const _Compare& __comp,
      const allocator_type& __a = allocator_type())
    : _M_t(__comp, __a) { _M_t.insert_unique(__first, __last); }
# 123 "/usr/include/g++/stl_map.h" 3


  map(const map<_Key,_Tp,_Compare,_Alloc>& __x) : _M_t(__x._M_t) {}
  map<_Key,_Tp,_Compare,_Alloc>&
  operator=(const map<_Key, _Tp, _Compare, _Alloc>& __x)
  {
    _M_t = __x._M_t;
    return *this; 
  }

   

  key_compare key_comp() const { return _M_t.key_comp(); }
  value_compare value_comp() const { return value_compare(_M_t.key_comp()); }
  allocator_type get_allocator() const { return _M_t.get_allocator(); }

  iterator begin() { return _M_t.begin(); }
  const_iterator begin() const { return _M_t.begin(); }
  iterator end() { return _M_t.end(); }
  const_iterator end() const { return _M_t.end(); }
  reverse_iterator rbegin() { return _M_t.rbegin(); }
  const_reverse_iterator rbegin() const { return _M_t.rbegin(); }
  reverse_iterator rend() { return _M_t.rend(); }
  const_reverse_iterator rend() const { return _M_t.rend(); }
  bool empty() const { return _M_t.empty(); }
  size_type size() const { return _M_t.size(); }
  size_type max_size() const { return _M_t.max_size(); }
  _Tp& operator[](const key_type& __k) {
    iterator __i = lower_bound(__k);
     
    if (__i == end() || key_comp()(__k, (*__i).first))
      __i = insert(__i, value_type(__k, _Tp()));
    return (*__i).second;
  }
  void swap(map<_Key,_Tp,_Compare,_Alloc>& __x) { _M_t.swap(__x._M_t); }

   

  pair<iterator,bool> insert(const value_type& __x) 
    { return _M_t.insert_unique(__x); }
  iterator insert(iterator position, const value_type& __x)
    { return _M_t.insert_unique(position, __x); }

  template <class _InputIterator>
  void insert(_InputIterator __first, _InputIterator __last) {
    _M_t.insert_unique(__first, __last);
  }









  void erase(iterator __position) { _M_t.erase(__position); }
  size_type erase(const key_type& __x) { return _M_t.erase(__x); }
  void erase(iterator __first, iterator __last)
    { _M_t.erase(__first, __last); }
  void clear() { _M_t.clear(); }

   

  iterator find(const key_type& __x) { return _M_t.find(__x); }
  const_iterator find(const key_type& __x) const { return _M_t.find(__x); }
  size_type count(const key_type& __x) const { return _M_t.count(__x); }
  iterator lower_bound(const key_type& __x) {return _M_t.lower_bound(__x); }
  const_iterator lower_bound(const key_type& __x) const {
    return _M_t.lower_bound(__x); 
  }
  iterator upper_bound(const key_type& __x) {return _M_t.upper_bound(__x); }
  const_iterator upper_bound(const key_type& __x) const {
    return _M_t.upper_bound(__x); 
  }
  
  pair<iterator,iterator> equal_range(const key_type& __x) {
    return _M_t.equal_range(__x);
  }
  pair<const_iterator,const_iterator> equal_range(const key_type& __x) const {
    return _M_t.equal_range(__x);
  }
  friend bool operator== <>  (const map&, const map&);
  friend bool operator< <>  (const map&, const map&);
};

template <class _Key, class _Tp, class _Compare, class _Alloc>
inline bool operator==(const map<_Key,_Tp,_Compare,_Alloc>& __x, 
                       const map<_Key,_Tp,_Compare,_Alloc>& __y) {
  return __x._M_t == __y._M_t;
}

template <class _Key, class _Tp, class _Compare, class _Alloc>
inline bool operator<(const map<_Key,_Tp,_Compare,_Alloc>& __x, 
                      const map<_Key,_Tp,_Compare,_Alloc>& __y) {
  return __x._M_t < __y._M_t;
}



template <class _Key, class _Tp, class _Compare, class _Alloc>
inline void swap(map<_Key,_Tp,_Compare,_Alloc>& __x, 
                 map<_Key,_Tp,_Compare,_Alloc>& __y) {
  __x.swap(__y);
}








 



 
 
 
# 33 "/usr/include/g++/map" 2 3

# 1 "/usr/include/g++/stl_multimap.h" 1 3
 

























 






 







template <class _Key, class _Tp, class _Compare = less<_Key>,
          class _Alloc = allocator< _Tp >  >




class multimap {
public:

 

  typedef _Key                  key_type;
  typedef _Tp                   data_type;
  typedef _Tp                   mapped_type;
  typedef pair<const _Key, _Tp> value_type;
  typedef _Compare              key_compare;

  class value_compare : public binary_function<value_type, value_type, bool> {
  friend class multimap<_Key,_Tp,_Compare,_Alloc>;
  protected:
    _Compare _M_comp;
    value_compare(_Compare __c) : _M_comp(__c) {}
  public:
    bool operator()(const value_type& __x, const value_type& __y) const {
      return _M_comp(__x.first, __y.first);
    }
  };

private:
  typedef _Rb_tree<key_type, value_type, 
                  _Select1st<value_type>, key_compare, _Alloc> _Rep_type;
  _Rep_type _M_t;   
public:
  typedef typename _Rep_type::pointer pointer;
  typedef typename _Rep_type::const_pointer const_pointer;
  typedef typename _Rep_type::reference reference;
  typedef typename _Rep_type::const_reference const_reference;
  typedef typename _Rep_type::iterator iterator;
  typedef typename _Rep_type::const_iterator const_iterator; 
  typedef typename _Rep_type::reverse_iterator reverse_iterator;
  typedef typename _Rep_type::const_reverse_iterator const_reverse_iterator;
  typedef typename _Rep_type::size_type size_type;
  typedef typename _Rep_type::difference_type difference_type;
  typedef typename _Rep_type::allocator_type allocator_type;

 

  multimap() : _M_t(_Compare(), allocator_type()) { }
  explicit multimap(const _Compare& __comp,
                    const allocator_type& __a = allocator_type())
    : _M_t(__comp, __a) { }


  template <class _InputIterator>
  multimap(_InputIterator __first, _InputIterator __last)
    : _M_t(_Compare(), allocator_type())
    { _M_t.insert_equal(__first, __last); }

  template <class _InputIterator>
  multimap(_InputIterator __first, _InputIterator __last,
           const _Compare& __comp,
           const allocator_type& __a = allocator_type())
    : _M_t(__comp, __a) { _M_t.insert_equal(__first, __last); }
# 121 "/usr/include/g++/stl_multimap.h" 3


  multimap(const multimap<_Key,_Tp,_Compare,_Alloc>& __x) : _M_t(__x._M_t) { }
  multimap<_Key,_Tp,_Compare,_Alloc>&
  operator=(const multimap<_Key,_Tp,_Compare,_Alloc>& __x) {
    _M_t = __x._M_t;
    return *this; 
  }

   

  key_compare key_comp() const { return _M_t.key_comp(); }
  value_compare value_comp() const { return value_compare(_M_t.key_comp()); }
  allocator_type get_allocator() const { return _M_t.get_allocator(); }

  iterator begin() { return _M_t.begin(); }
  const_iterator begin() const { return _M_t.begin(); }
  iterator end() { return _M_t.end(); }
  const_iterator end() const { return _M_t.end(); }
  reverse_iterator rbegin() { return _M_t.rbegin(); }
  const_reverse_iterator rbegin() const { return _M_t.rbegin(); }
  reverse_iterator rend() { return _M_t.rend(); }
  const_reverse_iterator rend() const { return _M_t.rend(); }
  bool empty() const { return _M_t.empty(); }
  size_type size() const { return _M_t.size(); }
  size_type max_size() const { return _M_t.max_size(); }
  void swap(multimap<_Key,_Tp,_Compare,_Alloc>& __x) { _M_t.swap(__x._M_t); }

   

  iterator insert(const value_type& __x) { return _M_t.insert_equal(__x); }
  iterator insert(iterator __position, const value_type& __x) {
    return _M_t.insert_equal(__position, __x);
  }

  template <class _InputIterator>
  void insert(_InputIterator __first, _InputIterator __last) {
    _M_t.insert_equal(__first, __last);
  }








  void erase(iterator __position) { _M_t.erase(__position); }
  size_type erase(const key_type& __x) { return _M_t.erase(__x); }
  void erase(iterator __first, iterator __last)
    { _M_t.erase(__first, __last); }
  void clear() { _M_t.clear(); }

   

  iterator find(const key_type& __x) { return _M_t.find(__x); }
  const_iterator find(const key_type& __x) const { return _M_t.find(__x); }
  size_type count(const key_type& __x) const { return _M_t.count(__x); }
  iterator lower_bound(const key_type& __x) {return _M_t.lower_bound(__x); }
  const_iterator lower_bound(const key_type& __x) const {
    return _M_t.lower_bound(__x); 
  }
  iterator upper_bound(const key_type& __x) {return _M_t.upper_bound(__x); }
  const_iterator upper_bound(const key_type& __x) const {
    return _M_t.upper_bound(__x); 
  }
   pair<iterator,iterator> equal_range(const key_type& __x) {
    return _M_t.equal_range(__x);
  }
  pair<const_iterator,const_iterator> equal_range(const key_type& __x) const {
    return _M_t.equal_range(__x);
  }
  friend bool operator== <>  (const multimap&,
                                               const multimap&);
  friend bool operator< <>  (const multimap&,
                                              const multimap&);
};

template <class _Key, class _Tp, class _Compare, class _Alloc>
inline bool operator==(const multimap<_Key,_Tp,_Compare,_Alloc>& __x, 
                       const multimap<_Key,_Tp,_Compare,_Alloc>& __y) {
  return __x._M_t == __y._M_t;
}

template <class _Key, class _Tp, class _Compare, class _Alloc>
inline bool operator<(const multimap<_Key,_Tp,_Compare,_Alloc>& __x, 
                      const multimap<_Key,_Tp,_Compare,_Alloc>& __y) {
  return __x._M_t < __y._M_t;
}



template <class _Key, class _Tp, class _Compare, class _Alloc>
inline void swap(multimap<_Key,_Tp,_Compare,_Alloc>& __x, 
                 multimap<_Key,_Tp,_Compare,_Alloc>& __y) {
  __x.swap(__y);
}








 



 
 
 
# 34 "/usr/include/g++/map" 2 3




 
 
 
# 1 "test.cpp" 2


template <typename Key, typename T>
class TemplateA {
private:
   typedef std::map<Key,T*> MyMap;
   typedef MyMap::iterator MyMapIterator;
   MyMap m_map;
};


class A {
private:
   int x;
};

void main(void) {
   TemplateA<unsigned int, A> x;
}



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