// /usr/libexec/gcc/i486-pc-linux-gnu/4.1.2/cc1plus -quiet -I/home/schultz/c/schultz/ -Isrc/ -D_GNU_SOURCE -D ALGO=3 -D INFINITY=1E10 -D EPSILON=1E-4 -D VOXEL_DENSITY=8 -D ENABLE_INFO -D ENABLE_JOKES -D TIMER_PERIOD=0.0166666 -D CIRCLE_DATA="circle.data" -D VIDEO_CONF="video.conf" -D RENDER_STYLE=0 -D RENDER_SIDES=8 -D WALLS src/circle.c++ -quiet -dumpbase circle.c++ -march=pentium-m -auxbase-strip bin/circle.o -g -O2 -W -fomit-frame-pointer -fno-default-inline -finline-functions -o - -frandom-seed=0
# 1 "src/circle.c++"
# 1 "/home/schultz/c/khaos//"
# 1 "<built-in>"
# 1 "<command line>"
# 1 "src/circle.c++"
# 1 "src/circle" 1
# 11 "src/circle"
# 1 "/home/schultz/c/schultz/schultz" 1
# 10 "/home/schultz/c/schultz/schultz"
# 1 "/usr/include/stdio.h" 1 3 4
# 28 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/features.h" 1 3 4
# 322 "/usr/include/features.h" 3 4
# 1 "/usr/include/sys/cdefs.h" 1 3 4
# 324 "/usr/include/sys/cdefs.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 325 "/usr/include/sys/cdefs.h" 2 3 4
# 323 "/usr/include/features.h" 2 3 4
# 345 "/usr/include/features.h" 3 4
# 1 "/usr/include/gnu/stubs.h" 1 3 4



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


# 1 "/usr/include/gnu/stubs-32.h" 1 3 4
# 8 "/usr/include/gnu/stubs.h" 2 3 4
# 346 "/usr/include/features.h" 2 3 4
# 29 "/usr/include/stdio.h" 2 3 4

extern "C" {



# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 214 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 3 4
typedef unsigned int size_t;
# 35 "/usr/include/stdio.h" 2 3 4

# 1 "/usr/include/bits/types.h" 1 3 4
# 28 "/usr/include/bits/types.h" 3 4
# 1 "/usr/include/bits/wordsize.h" 1 3 4
# 29 "/usr/include/bits/types.h" 2 3 4


# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 32 "/usr/include/bits/types.h" 2 3 4


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


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




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







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


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

__extension__ typedef int __daddr_t;
__extension__ typedef long int __swblk_t;
__extension__ typedef int __key_t;


__extension__ typedef int __clockid_t;


__extension__ typedef void * __timer_t;


__extension__ typedef long int __blksize_t;




__extension__ typedef long int __blkcnt_t;
__extension__ typedef __quad_t __blkcnt64_t;


__extension__ typedef unsigned long int __fsblkcnt_t;
__extension__ typedef __u_quad_t __fsblkcnt64_t;


__extension__ typedef unsigned long int __fsfilcnt_t;
__extension__ typedef __u_quad_t __fsfilcnt64_t;

__extension__ typedef int __ssize_t;



typedef __off64_t __loff_t;
typedef __quad_t *__qaddr_t;
typedef char *__caddr_t;


__extension__ typedef int __intptr_t;


__extension__ typedef unsigned int __socklen_t;
# 37 "/usr/include/stdio.h" 2 3 4
# 45 "/usr/include/stdio.h" 3 4
struct _IO_FILE;



typedef struct _IO_FILE FILE;





# 65 "/usr/include/stdio.h" 3 4
typedef struct _IO_FILE __FILE;
# 75 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/libio.h" 1 3 4
# 32 "/usr/include/libio.h" 3 4
# 1 "/usr/include/_G_config.h" 1 3 4
# 14 "/usr/include/_G_config.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 355 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 3 4
typedef unsigned int wint_t;
# 15 "/usr/include/_G_config.h" 2 3 4
# 24 "/usr/include/_G_config.h" 3 4
# 1 "/usr/include/wchar.h" 1 3 4
# 48 "/usr/include/wchar.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 49 "/usr/include/wchar.h" 2 3 4

# 1 "/usr/include/bits/wchar.h" 1 3 4
# 51 "/usr/include/wchar.h" 2 3 4
# 76 "/usr/include/wchar.h" 3 4
typedef struct
{
  int __count;
  union
  {
    wint_t __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 25 "/usr/include/_G_config.h" 2 3 4

typedef struct
{
  __off_t __pos;
  __mbstate_t __state;
} _G_fpos_t;
typedef struct
{
  __off64_t __pos;
  __mbstate_t __state;
} _G_fpos64_t;
# 44 "/usr/include/_G_config.h" 3 4
# 1 "/usr/include/gconv.h" 1 3 4
# 28 "/usr/include/gconv.h" 3 4
# 1 "/usr/include/wchar.h" 1 3 4
# 48 "/usr/include/wchar.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 49 "/usr/include/wchar.h" 2 3 4
# 29 "/usr/include/gconv.h" 2 3 4


# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 32 "/usr/include/gconv.h" 2 3 4





enum
{
  __GCONV_OK = 0,
  __GCONV_NOCONV,
  __GCONV_NODB,
  __GCONV_NOMEM,

  __GCONV_EMPTY_INPUT,
  __GCONV_FULL_OUTPUT,
  __GCONV_ILLEGAL_INPUT,
  __GCONV_INCOMPLETE_INPUT,

  __GCONV_ILLEGAL_DESCRIPTOR,
  __GCONV_INTERNAL_ERROR
};



enum
{
  __GCONV_IS_LAST = 0x0001,
  __GCONV_IGNORE_ERRORS = 0x0002
};



struct __gconv_step;
struct __gconv_step_data;
struct __gconv_loaded_object;
struct __gconv_trans_data;



typedef int (*__gconv_fct) (struct __gconv_step *, struct __gconv_step_data *,
       __const unsigned char **, __const unsigned char *,
       unsigned char **, size_t *, int, int);


typedef wint_t (*__gconv_btowc_fct) (struct __gconv_step *, unsigned char);


typedef int (*__gconv_init_fct) (struct __gconv_step *);
typedef void (*__gconv_end_fct) (struct __gconv_step *);



typedef int (*__gconv_trans_fct) (struct __gconv_step *,
      struct __gconv_step_data *, void *,
      __const unsigned char *,
      __const unsigned char **,
      __const unsigned char *, unsigned char **,
      size_t *);


typedef int (*__gconv_trans_context_fct) (void *, __const unsigned char *,
       __const unsigned char *,
       unsigned char *, unsigned char *);


typedef int (*__gconv_trans_query_fct) (__const char *, __const char ***,
     size_t *);


typedef int (*__gconv_trans_init_fct) (void **, const char *);
typedef void (*__gconv_trans_end_fct) (void *);

struct __gconv_trans_data
{

  __gconv_trans_fct __trans_fct;
  __gconv_trans_context_fct __trans_context_fct;
  __gconv_trans_end_fct __trans_end_fct;
  void *__data;
  struct __gconv_trans_data *__next;
};



struct __gconv_step
{
  struct __gconv_loaded_object *__shlib_handle;
  __const char *__modname;

  int __counter;

  char *__from_name;
  char *__to_name;

  __gconv_fct __fct;
  __gconv_btowc_fct __btowc_fct;
  __gconv_init_fct __init_fct;
  __gconv_end_fct __end_fct;



  int __min_needed_from;
  int __max_needed_from;
  int __min_needed_to;
  int __max_needed_to;


  int __stateful;

  void *__data;
};



struct __gconv_step_data
{
  unsigned char *__outbuf;
  unsigned char *__outbufend;



  int __flags;



  int __invocation_counter;



  int __internal_use;

  __mbstate_t *__statep;
  __mbstate_t __state;



  struct __gconv_trans_data *__trans;
};



typedef struct __gconv_info
{
  size_t __nsteps;
  struct __gconv_step *__steps;
  __extension__ struct __gconv_step_data __data [];
} *__gconv_t;
# 45 "/usr/include/_G_config.h" 2 3 4
typedef union
{
  struct __gconv_info __cd;
  struct
  {
    struct __gconv_info __cd;
    struct __gconv_step_data __data;
  } __combined;
} _G_iconv_t;

typedef int _G_int16_t __attribute__ ((__mode__ (__HI__)));
typedef int _G_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int _G_uint16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int _G_uint32_t __attribute__ ((__mode__ (__SI__)));
# 33 "/usr/include/libio.h" 2 3 4
# 53 "/usr/include/libio.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stdarg.h" 1 3 4
# 43 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 54 "/usr/include/libio.h" 2 3 4
# 167 "/usr/include/libio.h" 3 4
struct _IO_jump_t; struct _IO_FILE;
# 177 "/usr/include/libio.h" 3 4
typedef void _IO_lock_t;





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



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


enum __codecvt_result
{
  __codecvt_ok,
  __codecvt_partial,
  __codecvt_error,
  __codecvt_noconv
};
# 268 "/usr/include/libio.h" 3 4
struct _IO_FILE {
  int _flags;




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

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

  struct _IO_marker *_markers;

  struct _IO_FILE *_chain;

  int _fileno;



  int _flags2;

  __off_t _old_offset;



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



  _IO_lock_t *_lock;
# 316 "/usr/include/libio.h" 3 4
  __off64_t _offset;
# 325 "/usr/include/libio.h" 3 4
  void *__pad1;
  void *__pad2;
  void *__pad3;
  void *__pad4;
  size_t __pad5;

  int _mode;

  char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];

};





struct _IO_FILE_plus;

extern struct _IO_FILE_plus _IO_2_1_stdin_;
extern struct _IO_FILE_plus _IO_2_1_stdout_;
extern struct _IO_FILE_plus _IO_2_1_stderr_;
# 361 "/usr/include/libio.h" 3 4
typedef __ssize_t __io_read_fn (void *__cookie, char *__buf, size_t __nbytes);







typedef __ssize_t __io_write_fn (void *__cookie, __const char *__buf,
     size_t __n);







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


typedef int __io_close_fn (void *__cookie);




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


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

struct _IO_cookie_file;


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




extern "C" {


extern int __underflow (_IO_FILE *);
extern int __uflow (_IO_FILE *);
extern int __overflow (_IO_FILE *, int);
extern wint_t __wunderflow (_IO_FILE *);
extern wint_t __wuflow (_IO_FILE *);
extern wint_t __woverflow (_IO_FILE *, wint_t);
# 451 "/usr/include/libio.h" 3 4
extern int _IO_getc (_IO_FILE *__fp);
extern int _IO_putc (int __c, _IO_FILE *__fp);
extern int _IO_feof (_IO_FILE *__fp) throw ();
extern int _IO_ferror (_IO_FILE *__fp) throw ();

extern int _IO_peekc_locked (_IO_FILE *__fp);





extern void _IO_flockfile (_IO_FILE *) throw ();
extern void _IO_funlockfile (_IO_FILE *) throw ();
extern int _IO_ftrylockfile (_IO_FILE *) throw ();
# 481 "/usr/include/libio.h" 3 4
extern int _IO_vfscanf (_IO_FILE * __restrict, const char * __restrict,
   __gnuc_va_list, int *__restrict);
extern int _IO_vfprintf (_IO_FILE *__restrict, const char *__restrict,
    __gnuc_va_list);
extern __ssize_t _IO_padn (_IO_FILE *, int, __ssize_t);
extern size_t _IO_sgetn (_IO_FILE *, void *, size_t);

extern __off64_t _IO_seekoff (_IO_FILE *, __off64_t, int, int);
extern __off64_t _IO_seekpos (_IO_FILE *, __off64_t, int);

extern void _IO_free_backup_area (_IO_FILE *) throw ();
# 543 "/usr/include/libio.h" 3 4
}
# 76 "/usr/include/stdio.h" 2 3 4




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


typedef _G_fpos_t fpos_t;





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



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







extern int remove (__const char *__filename) throw ();

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




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








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



extern char *tmpnam (char *__s) throw () ;





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








extern int fclose (FILE *__stream);




extern int fflush (FILE *__stream);

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









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




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


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




extern FILE *fdopen (int __fd, __const char *__modes) throw () ;





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


extern FILE *fmemopen (void *__s, size_t __len, __const char *__modes)
  throw () ;




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) throw () ;






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



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





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


extern void setlinebuf (FILE *__stream) throw ();








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




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

extern int sprintf (char *__restrict __s,
      __const char *__restrict __format, ...) throw ();





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




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

extern int vsprintf (char *__restrict __s, __const char *__restrict __format,
       __gnuc_va_list __arg) throw ();





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

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






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







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








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




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

extern int sscanf (__const char *__restrict __s,
     __const char *__restrict __format, ...) throw ();








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





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


extern int vsscanf (__const char *__restrict __s,
      __const char *__restrict __format, __gnuc_va_list __arg)
     throw () __attribute__ ((__format__ (__scanf__, 2, 0)));









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





extern int getchar (void);

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











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





extern int putchar (int __c);

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







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






extern int getw (FILE *__stream);


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








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






extern char *gets (char *__s) ;

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







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








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





extern int puts (__const char *__s);






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






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




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

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








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




extern long int ftell (FILE *__stream) ;




extern void rewind (FILE *__stream);

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




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






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




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



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




extern void clearerr (FILE *__stream) throw ();

extern int feof (FILE *__stream) throw () ;

extern int ferror (FILE *__stream) throw () ;




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








extern void perror (__const char *__s);






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


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




extern int fileno (FILE *__stream) throw () ;




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





extern int pclose (FILE *__stream);





extern char *ctermid (char *__s) throw ();





extern char *cuserid (char *__s);




struct obstack;


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







extern void flockfile (FILE *__stream) throw ();



extern int ftrylockfile (FILE *__stream) throw () ;


extern void funlockfile (FILE *__stream) throw ();
# 839 "/usr/include/stdio.h" 3 4
# 1 "/usr/include/bits/stdio.h" 1 3 4
# 33 "/usr/include/bits/stdio.h" 3 4
inline int
vprintf (__const char *__restrict __fmt, __gnuc_va_list __arg)
{
  return vfprintf (stdout, __fmt, __arg);
}


inline int
getchar (void)
{
  return _IO_getc (stdin);
}




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





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


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




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




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





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


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





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





inline int
feof_unlocked (FILE *__stream) throw ()
{
  return (((__stream)->_flags & 0x10) != 0);
}


inline int
ferror_unlocked (FILE *__stream) throw ()
{
  return (((__stream)->_flags & 0x20) != 0);
}
# 840 "/usr/include/stdio.h" 2 3 4
# 848 "/usr/include/stdio.h" 3 4
}
# 11 "/home/schultz/c/schultz/schultz" 2
# 1 "/usr/include/memory.h" 1 3 4
# 30 "/usr/include/memory.h" 3 4
# 1 "/usr/include/string.h" 1 3 4
# 28 "/usr/include/string.h" 3 4
extern "C" {




# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 34 "/usr/include/string.h" 2 3 4




extern void *memcpy (void *__restrict __dest,
       __const void *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, __const void *__src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));






extern void *memccpy (void *__restrict __dest, __const void *__restrict __src,
        int __c, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));





extern void *memset (void *__s, int __c, size_t __n) throw () __attribute__ ((__nonnull__ (1)));


extern int memcmp (__const void *__s1, __const void *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void *memchr (__const void *__s, int __c, size_t __n)
      throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern void *rawmemchr (__const void *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern void *memrchr (__const void *__s, int __c, size_t __n)
      throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern char *strcpy (char *__restrict __dest, __const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        __const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, __const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, __const char *__restrict __src,
        size_t __n) throw () __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (__const char *__s1, __const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (__const char *__s1, __const char *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (__const char *__s1, __const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         __const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (2)));






# 1 "/usr/include/xlocale.h" 1 3 4
# 28 "/usr/include/xlocale.h" 3 4
typedef struct __locale_struct
{

  struct locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
} *__locale_t;
# 119 "/usr/include/string.h" 2 3 4


extern int strcoll_l (__const char *__s1, __const char *__s2, __locale_t __l)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));

extern size_t strxfrm_l (char *__dest, __const char *__src, size_t __n,
    __locale_t __l) throw () __attribute__ ((__nonnull__ (2, 4)));




extern char *strdup (__const char *__s)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (__const char *__string, size_t __n)
     throw () __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
# 165 "/usr/include/string.h" 3 4


extern char *strchr (__const char *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));

extern char *strrchr (__const char *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern char *strchrnul (__const char *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern size_t strcspn (__const char *__s, __const char *__reject)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (__const char *__s, __const char *__accept)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern char *strpbrk (__const char *__s, __const char *__accept)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern char *strstr (__const char *__haystack, __const char *__needle)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern char *strtok (char *__restrict __s, __const char *__restrict __delim)
     throw () __attribute__ ((__nonnull__ (2)));




extern char *__strtok_r (char *__restrict __s,
    __const char *__restrict __delim,
    char **__restrict __save_ptr)
     throw () __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, __const char *__restrict __delim,
         char **__restrict __save_ptr)
     throw () __attribute__ ((__nonnull__ (2, 3)));




extern char *strcasestr (__const char *__haystack, __const char *__needle)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern void *memmem (__const void *__haystack, size_t __haystacklen,
       __const void *__needle, size_t __needlelen)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)));



extern void *__mempcpy (void *__restrict __dest,
   __const void *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        __const void *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));





extern size_t strlen (__const char *__s)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern size_t strnlen (__const char *__string, size_t __maxlen)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));





extern char *strerror (int __errnum) throw ();

# 281 "/usr/include/string.h" 3 4
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2)));





extern char *strerror_l (int __errnum, __locale_t __l) throw ();





extern void __bzero (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));



extern void bcopy (__const void *__src, void *__dest, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern void bzero (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));


extern int bcmp (__const void *__s1, __const void *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *index (__const char *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern char *rindex (__const char *__s, int __c)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));



extern int ffs (int __i) throw () __attribute__ ((__const__));




extern int ffsl (long int __l) throw () __attribute__ ((__const__));

__extension__ extern int ffsll (long long int __ll)
     throw () __attribute__ ((__const__));




extern int strcasecmp (__const char *__s1, __const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (__const char *__s1, __const char *__s2, size_t __n)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));





extern int strcasecmp_l (__const char *__s1, __const char *__s2,
    __locale_t __loc)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));

extern int strncasecmp_l (__const char *__s1, __const char *__s2,
     size_t __n, __locale_t __loc)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));





extern char *strsep (char **__restrict __stringp,
       __const char *__restrict __delim)
     throw () __attribute__ ((__nonnull__ (1, 2)));




extern int strverscmp (__const char *__s1, __const char *__s2)
     throw () __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strsignal (int __sig) throw ();


extern char *__stpcpy (char *__restrict __dest, __const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, __const char *__restrict __src)
     throw () __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   __const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        __const char *__restrict __src, size_t __n)
     throw () __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) throw () __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) throw () __attribute__ ((__nonnull__ (1)));






extern char *basename (__const char *__filename) throw () __attribute__ ((__nonnull__ (1)));
# 432 "/usr/include/string.h" 3 4
}
# 31 "/usr/include/memory.h" 2 3 4
# 12 "/home/schultz/c/schultz/schultz" 2
# 1 "/usr/include/stdlib.h" 1 3 4
# 33 "/usr/include/stdlib.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 34 "/usr/include/stdlib.h" 2 3 4

extern "C" {






# 1 "/usr/include/bits/waitflags.h" 1 3 4
# 43 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/bits/waitstatus.h" 1 3 4
# 65 "/usr/include/bits/waitstatus.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 37 "/usr/include/endian.h" 3 4
# 1 "/usr/include/bits/endian.h" 1 3 4
# 38 "/usr/include/endian.h" 2 3 4
# 66 "/usr/include/bits/waitstatus.h" 2 3 4

union wait
  {
    int w_status;
    struct
      {

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







      } __wait_terminated;
    struct
      {

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






      } __wait_stopped;
  };
# 44 "/usr/include/stdlib.h" 2 3 4
# 96 "/usr/include/stdlib.h" 3 4


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



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







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


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




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

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

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





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





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





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

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





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

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




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

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





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

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

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

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

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

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

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

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

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






extern double __strtod_internal (__const char *__restrict __nptr,
     char **__restrict __endptr, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;
extern float __strtof_internal (__const char *__restrict __nptr,
    char **__restrict __endptr, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;
extern long double __strtold_internal (__const char *__restrict __nptr,
           char **__restrict __endptr,
           int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;

extern long int __strtol_internal (__const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;



extern unsigned long int __strtoul_internal (__const char *__restrict __nptr,
          char **__restrict __endptr,
          int __base, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;




__extension__
extern long long int __strtoll_internal (__const char *__restrict __nptr,
      char **__restrict __endptr,
      int __base, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;



__extension__
extern unsigned long long int __strtoull_internal (__const char *
         __restrict __nptr,
         char **__restrict __endptr,
         int __base, int __group)
     throw () __attribute__ ((__nonnull__ (1))) ;








extern __inline double
strtod (__const char *__restrict __nptr, char **__restrict __endptr) throw ()
{
  return __strtod_internal (__nptr, __endptr, 0);
}
extern __inline long int
strtol (__const char *__restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtol_internal (__nptr, __endptr, __base, 0);
}
extern __inline unsigned long int
strtoul (__const char *__restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtoul_internal (__nptr, __endptr, __base, 0);
}




extern __inline float
strtof (__const char *__restrict __nptr, char **__restrict __endptr) throw ()
{
  return __strtof_internal (__nptr, __endptr, 0);
}

extern __inline long double
strtold (__const char *__restrict __nptr, char **__restrict __endptr) throw ()
{
  return __strtold_internal (__nptr, __endptr, 0);
}





__extension__ extern __inline long long int
strtoq (__const char *__restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtoll_internal (__nptr, __endptr, __base, 0);
}
__extension__ extern __inline unsigned long long int
strtouq (__const char *__restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtoull_internal (__nptr, __endptr, __base, 0);
}




__extension__ extern __inline long long int
strtoll (__const char *__restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtoll_internal (__nptr, __endptr, __base, 0);
}
__extension__ extern __inline unsigned long long int
strtoull (__const char * __restrict __nptr, char **__restrict __endptr, int __base) throw ()

{
  return __strtoull_internal (__nptr, __endptr, __base, 0);
}




extern __inline double
atof (__const char *__nptr) throw ()
{
  return strtod (__nptr, (char **) __null);
}
extern __inline int
atoi (__const char *__nptr) throw ()
{
  return (int) strtol (__nptr, (char **) __null, 10);
}
extern __inline long int
atol (__const char *__nptr) throw ()
{
  return strtol (__nptr, (char **) __null, 10);
}




__extension__ extern __inline long long int
atoll (__const char *__nptr) throw ()
{
  return strtoll (__nptr, (char **) __null, 10);
}

# 429 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) throw () ;


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




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





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




typedef __loff_t loff_t;



typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;




typedef __pid_t pid_t;




typedef __id_t id_t;




typedef __ssize_t ssize_t;





typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;
# 133 "/usr/include/sys/types.h" 3 4
# 1 "/usr/include/time.h" 1 3 4
# 59 "/usr/include/time.h" 3 4


typedef __clock_t clock_t;



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


typedef __time_t time_t;



# 93 "/usr/include/time.h" 3 4
typedef __clockid_t clockid_t;
# 105 "/usr/include/time.h" 3 4
typedef __timer_t timer_t;
# 134 "/usr/include/sys/types.h" 2 3 4



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 148 "/usr/include/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;
# 195 "/usr/include/sys/types.h" 3 4
typedef int int8_t __attribute__ ((__mode__ (__QI__)));
typedef int int16_t __attribute__ ((__mode__ (__HI__)));
typedef int int32_t __attribute__ ((__mode__ (__SI__)));
typedef int int64_t __attribute__ ((__mode__ (__DI__)));


typedef unsigned int u_int8_t __attribute__ ((__mode__ (__QI__)));
typedef unsigned int u_int16_t __attribute__ ((__mode__ (__HI__)));
typedef unsigned int u_int32_t __attribute__ ((__mode__ (__SI__)));
typedef unsigned int u_int64_t __attribute__ ((__mode__ (__DI__)));

typedef int register_t __attribute__ ((__mode__ (__word__)));
# 220 "/usr/include/sys/types.h" 3 4
# 1 "/usr/include/sys/select.h" 1 3 4
# 31 "/usr/include/sys/select.h" 3 4
# 1 "/usr/include/bits/select.h" 1 3 4
# 32 "/usr/include/sys/select.h" 2 3 4


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




typedef struct
  {
    unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
  } __sigset_t;
# 35 "/usr/include/sys/select.h" 2 3 4



typedef __sigset_t sigset_t;





# 1 "/usr/include/time.h" 1 3 4
# 121 "/usr/include/time.h" 3 4
struct timespec
  {
    __time_t tv_sec;
    long int tv_nsec;
  };
# 45 "/usr/include/sys/select.h" 2 3 4

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



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





  } fd_set;






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


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


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


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

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

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




typedef __blksize_t blksize_t;






typedef __blkcnt_t blkcnt_t;



typedef __fsblkcnt_t fsblkcnt_t;



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





# 1 "/usr/include/bits/pthreadtypes.h" 1 3 4
# 36 "/usr/include/bits/pthreadtypes.h" 3 4
typedef unsigned long int pthread_t;


typedef union
{
  char __size[36];
  long int __align;
} pthread_attr_t;


typedef struct __pthread_internal_slist
{
  struct __pthread_internal_slist *__next;
} __pthread_slist_t;




typedef union
{
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;


    int __kind;
    unsigned int __nusers;
    __extension__ union
    {
      int __spins;
      __pthread_slist_t __list;
    };
  } __data;
  char __size[24];
  long int __align;
} pthread_mutex_t;

typedef union
{
  char __size[4];
  long int __align;
} pthread_mutexattr_t;




typedef union
{
  struct
  {
    int __lock;
    unsigned int __futex;
    __extension__ unsigned long long int __total_seq;
    __extension__ unsigned long long int __wakeup_seq;
    __extension__ unsigned long long int __woken_seq;
    void *__mutex;
    unsigned int __nwaiters;
    unsigned int __broadcast_seq;
  } __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;

typedef union
{
  char __size[4];
  long int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;





typedef union
{
  struct
  {
    int __lock;
    unsigned int __nr_readers;
    unsigned int __readers_wakeup;
    unsigned int __writer_wakeup;
    unsigned int __nr_readers_queued;
    unsigned int __nr_writers_queued;


    unsigned int __flags;
    int __writer;
  } __data;
  char __size[32];
  long int __align;
} pthread_rwlock_t;

typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[20];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[4];
  int __align;
} pthread_barrierattr_t;
# 271 "/usr/include/sys/types.h" 2 3 4


}
# 439 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) throw ();


extern void srandom (unsigned int __seed) throw ();





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



extern char *setstate (char *__statebuf) throw () __attribute__ ((__nonnull__ (1)));







struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };

extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) throw () __attribute__ ((__nonnull__ (1, 2)));

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

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

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






extern int rand (void) throw ();

extern void srand (unsigned int __seed) throw ();




extern int rand_r (unsigned int *__seed) throw ();







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


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


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


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





struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    unsigned long long int __a;
  };


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


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


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


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

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

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









extern void *malloc (size_t __size) throw () __attribute__ ((__malloc__)) ;

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







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

extern void free (void *__ptr) throw ();




extern void cfree (void *__ptr) throw ();



# 1 "/usr/include/alloca.h" 1 3 4
# 25 "/usr/include/alloca.h" 3 4
# 1 "/usr/lib/gcc/i486-pc-linux-gnu/4.1.2/include/stddef.h" 1 3 4
# 26 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) throw ();





}
# 613 "/usr/include/stdlib.h" 2 3 4




extern void *valloc (size_t __size) throw () __attribute__ ((__malloc__)) ;




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




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



extern int atexit (void (*__func) (void)) throw () __attribute__ ((__nonnull__ (1)));





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






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






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






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




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





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





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


extern int unsetenv (__const char *__name) throw ();






extern int clearenv (void) throw ();
# 698 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) throw () __attribute__ ((__nonnull__ (1))) ;
# 709 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 719 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 729 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) throw () __attribute__ ((__nonnull__ (1))) ;








extern int system (__const char *__command) ;






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






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


typedef __compar_fn_t comparison_fn_t;






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



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



extern int abs (int __x) throw () __attribute__ ((__const__)) ;
extern long int labs (long int __x) throw () __attribute__ ((__const__)) ;



__extension__ extern long long int llabs (long long int __x)
     throw () __attribute__ ((__const__)) ;







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




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

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




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




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




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




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

extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     throw () __attribute__ ((__nonnull__ (3, 4, 5)));







extern int mblen (__const char *__s, size_t __n) throw () ;


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


extern int wctomb (char *__s, wchar_t __wchar) throw () ;



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

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








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





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







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) throw ();



extern int unlockpt (int __fd) throw ();




extern char *ptsname (int __fd) throw () ;






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


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     throw () __attribute__ ((__nonnull__ (1)));
# 976 "/usr/include/stdlib.h" 3 4
}
# 13 "/home/schultz/c/schultz/schultz" 2

namespace schultz {

# 1 "/home/schultz/c/schultz/language/keywords" 1
# 17 "/home/schultz/c/schultz/schultz" 2



# 1 "/home/schultz/c/schultz/language/types" 1
# 14 "/home/schultz/c/schultz/language/types"
typedef unsigned int nat;
# 28 "/home/schultz/c/schultz/language/types"
typedef float flop;
# 21 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/assert" 1







namespace __schultz {
# 18 "/home/schultz/c/schultz/language/assert"
 inline void assertion_failure(char* file, nat line) {
  fprintf(stderr, "[ERROR] assertion failure at file \"%s\", line %u\n", file, line);
  exit(1);
 }







 inline void requirement_failure(char* file, nat line) {
  fprintf(stderr, "[ERROR] requirement not met at file \"%s\", line %u\n", file, line);
  exit(1);
 }
}
# 22 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/meta" 1
# 19 "/home/schultz/c/schultz/language/meta"
template<bool> struct bool_type {};

typedef bool_type<false> false_type;
typedef bool_type<true> true_type;
# 31 "/home/schultz/c/schultz/language/meta"
template<nat> struct nat_type {};
# 41 "/home/schultz/c/schultz/language/meta"
template<typename T, typename U> struct type_equality {
 enum {value = false};
};
template<typename T> struct type_equality<T, T> {
 enum {value = true};
};

namespace __schultz {
# 58 "/home/schultz/c/schultz/language/meta"
 template<typename T> const T& fetch_constness(const T& x) {return x;}
 template<typename T> T& fetch_constness(T& x) {return x;}
};
# 115 "/home/schultz/c/schultz/language/meta"
template<typename T> struct default_type_traits {
 enum {
  trivial = false,
  trivial_constructor = false,
  trivial_copy = false,
  trivial_destructor = false,

  fast_increment = false,
  fast_decrement = false,
  fast_random_increment = false,

  iterator = false,

  structure = true,

  special_swap = false
 };
};
# 142 "/home/schultz/c/schultz/language/meta"
template<typename T> struct type_traits {
 enum {
  trivial = T::type_traits::trivial || (
   T::type_traits::trivial_constructor &&
   T::type_traits::trivial_copy &&
   T::type_traits::trivial_destructor
  ),
  trivial_constructor = T::type_traits::trivial || T::type_traits::trivial_constructor,
  trivial_copy = T::type_traits::trivial || T::type_traits::trivial_copy,
  trivial_destructor = T::type_traits::trivial || T::type_traits::trivial_destructor,

  fast_increment = T::type_traits::fast_increment || T::type_traits::fast_random_increment,
  fast_decrement = T::type_traits::fast_decrement || T::type_traits::fast_random_increment,
  fast_random_increment = T::type_traits::fast_random_increment,

  iterator = T::type_traits::iterator,

  structure = T::type_traits::structure,

  special_swap = T::type_traits::special_swap
 };
};
# 178 "/home/schultz/c/schultz/language/meta"
template<typename T> struct builtin_type_traits : public default_type_traits<T> {
 enum {
  trivial = true,
  trivial_constructor = true,
  trivial_copy = true,
  trivial_destructor = true,

  fast_increment = true,
  fast_decrement = true,
  fast_random_increment = true,

  iterator = false,

  structure = false,

  special_swap = false
 };
};

template<> struct type_traits<bool> : public builtin_type_traits<bool> {};
template<> struct type_traits<nat> : public builtin_type_traits<nat> {};
template<> struct type_traits<int> : public builtin_type_traits<int> {};
template<> struct type_traits<unsigned char> : public builtin_type_traits<unsigned char> {};
template<> struct type_traits<char> : public builtin_type_traits<char> {};
template<> struct type_traits<unsigned short> : public builtin_type_traits<unsigned short> {};
template<> struct type_traits<short> : public builtin_type_traits<short> {};
template<> struct type_traits<unsigned long long int> : public builtin_type_traits<unsigned long long int> {};
template<> struct type_traits<long long int> : public builtin_type_traits<long long int> {};
template<> struct type_traits<float> : public builtin_type_traits<float> {};
template<> struct type_traits<double> : public builtin_type_traits<double> {};
template<typename T> struct type_traits<T*> : public builtin_type_traits<T*> {
 enum {iterator = true};
};
template<typename T> struct type_traits<const T*> : public builtin_type_traits<const T*> {
 enum {iterator = true};
};
# 245 "/home/schultz/c/schultz/language/meta"
template<typename I> struct default_iterator_traits {
 enum {
  constant = true,
  persistent = false,
  bidirectional = false,
  random_access = false
 };

 typedef void value_type;
};
# 267 "/home/schultz/c/schultz/language/meta"
template<typename I> struct iterator_traits {
 enum {
  constant = I::iterator_traits::constant,
  persistent = I::iterator_traits::persistent,
  bidirectional = I::iterator_traits::bidirectional || I::iterator_traits::random_access,
  random_access = I::iterator_traits::random_access
 };

 typedef typename I::iterator_traits::value_type value_type;
};


template<typename T> struct iterator_traits<T*> : public default_iterator_traits<T*> {
 enum {
  constant = false,
  persistent = true,
  bidirectional = true,
  random_access = true
 };

 typedef T value_type;
};
template<typename T> struct iterator_traits<const T*> : public default_iterator_traits<const T*> {
 enum {
  constant = true,
  persistent = true,
  bidirectional = true,
  random_access = true
 };

 typedef T value_type;
};
# 309 "/home/schultz/c/schultz/language/meta"
template<typename I> struct iterator_type_traits : public default_type_traits<I> {
 enum {
  trivial = true,

  fast_increment = true,
  fast_decrement = iterator_traits<I>::bidirectional,
  fast_random_increment = iterator_traits<I>::random_access,

  iterator = true
 };
};
# 23 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/function" 1
# 14 "/home/schultz/c/schultz/language/function"
template<typename F, typename X> struct unary_function {
 typedef F return_type;
 typedef X argument_type;
};







template<typename F, typename X, typename Y = X> struct binary_function {
 typedef F return_type;
 typedef X argument_type;
 typedef X first_argument_type;
 typedef Y second_argument_type;
};
# 43 "/home/schultz/c/schultz/language/function"
template<typename F> struct opposite_function : public binary_function<typename F::return_type, typename F::second_argument_type, typename F::first_argument_type> {

 const F& f;


 explicit inline opposite_function(const F& g) : f(g) {}


 inline typename F::return_type operator ()(typename F::second_argument_type y, typename F::first_argument_type x) const {return f(x, y);}
};


template<typename F> inline opposite_function<F> make_opposite_function(const F& f) {
 return opposite_function<F>(f);
}







template<typename T> struct addressf : public unary_function<T*, T&> {
 inline T* operator ()(T& a) const {return &a;}
};
# 84 "/home/schultz/c/schultz/language/function"
template<typename T> struct equalf : public binary_function<bool, const T&> {
 inline bool operator ()(const T& x, const T& y) const {
  return x == y;
 }
};
template<typename I> struct indirect_equalf : public binary_function<bool, I> {
 inline bool operator ()(I x, I y) const {
  return *x == *y;
 }
};


template<typename T> struct lessf : public binary_function<bool, const T&> {
 inline bool operator ()(const T& x, const T& y) const {
  return x < y;
 }
};
template<typename I> struct indirect_lessf : public binary_function<bool, I> {
 inline bool operator ()(I x, I y) const {
  return *x < *y;
 }
};


template<typename T> struct greaterf : public binary_function<bool, const T&> {
 inline bool operator ()(const T& x, const T& y) const {
  return x > y;
 }
};
template<typename I> struct indirect_greaterf : public binary_function<bool, I> {
 inline bool operator ()(I x, I y) const {
  return *x > *y;
 }
};
# 131 "/home/schultz/c/schultz/language/function"
template<typename T> struct sumf : public binary_function<typeof(((T)(*((T*)(0)))) + ((T)(*((T*)(0))))), const T&, const T&> {
 inline typeof(((T)(*((T*)(0)))) + ((T)(*((T*)(0))))) operator ()(const T& x, const T& y) const {
  return x+y;
 }
};


template<typename T> struct addf : public binary_function<T&, T&, const T&> {
 inline T& operator ()(T& a, const T& b) const {return a+= b;}
};


template<typename T> struct sizef : public unary_function<typeof(((T)(*((T*)(0)))).size()), const T&> {
 inline typeof(((T)(*((T*)(0)))).size()) operator ()(const T& A) const {return A.size();}
};
# 24 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/base" 1
# 14 "/home/schultz/c/schultz/language/base"
template<typename T> inline typeof(((T)(*((T*)(0)))) * ((T)(*((T*)(0))))) square(const T& x) {
 return x*x;
}







template<typename T> inline T abs(const T& x) {
 return x < 0 ? -x : x;
}
# 47 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct swap_meta {
  template<typename T> static inline void swap(T& a, T& b) {
   T c = a;
   a = b;
   b = c;
  }
 };


 template<> struct swap_meta<true> {
  template<typename T> static inline void swap(T& a, T& b) {
   T::swap(a, b);
  }
 };
}


template<typename T> inline void swap(T& a, T& b) {
 __schultz::swap_meta<type_traits<T>::special_swap>::swap(a, b);
}


template<typename I, typename J> J swap(I a, I b, J c) {
 for (; a != b; ++a, ++c) swap(*a, *c);
 return c;
}
# 91 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct advance_meta {
  template<typename I> static I& advance(I& i, nat n) {
   for (nat __repeat = n; __repeat != 0; --__repeat) ++i;
   return i;
  }
 };


 template<> struct advance_meta<true> {
  template<typename I> static inline I& advance(I& i, nat n) {
   return i+= n;
  }
 };
}


template<typename I> inline I& advance(I& i, nat n) {
 return __schultz::advance_meta<iterator_traits<I>::random_access>::advance(i, n);
}
# 127 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct step_back_meta {
  template<typename I> static I& step_back(I& i, nat n) {
   for (nat __repeat = n; __repeat != 0; --__repeat) --i;
   return i;
  }
 };


 template<> struct step_back_meta<true> {
  template<typename I> static inline I& step_back(I& i, nat n) {
   return i-= n;
  }
 };
}


template<typename I> inline I& step_back(I& i, nat n) {
 return __schultz::step_back_meta<iterator_traits<I>::random_access>::step_back(i, n);
}
# 164 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct distance_meta {
  template<typename I> static nat distance(I a, I b) {
   nat n = 0;
   for (; a != b; ++a, ++n);
   return n;
  }
 };


 template<> struct distance_meta<true> {
  template<typename I> static inline nat distance(I a, I b) {
   ;
   return b-a;
  }
 };
}


template<typename I> inline nat distance(I a, I b) {
 return __schultz::distance_meta<iterator_traits<I>::random_access>::distance(a, b);
}
# 200 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct reverse_meta {
  template<typename I> static void reverse(I a, I b) {
   while (a != b) {
    --b;
    if (a == b) break;
    swap(*a, *b);
    ++a;
   }
  }
 };


 template<> struct reverse_meta<true> {
  template<typename I> static void reverse(I a, I b) {
   ;
   if (a != b) for (--b; a < b; ++a, --b) swap(*a, *b);
  }
 };
}


template<typename I> inline void reverse(I a, I b) {
 __schultz::reverse_meta<iterator_traits<I>::random_access>::reverse(a, b);
}
# 243 "/home/schultz/c/schultz/language/base"
template<typename T, typename O> inline const T& min(const T& x, const T& y, O o) {
 return o(x, y) ? x : y;
}
template<typename T> inline const T& min(const T& x, const T& y) {
 return min(x, y, lessf<T>());
}
template<typename T, typename O> inline T& min(T& x, T& y, O o) {
 return o(x, y) ? x : y;
}
template<typename T> inline T& min(T& x, T& y) {
 return min(x, y, lessf<T>());
}


template<typename T, typename O> inline const T& max(const T& x, const T& y, O o) {
 return o(y, x) ? x : y;
}
template<typename T> inline const T& max(const T& x, const T& y) {
 return max(x, y, lessf<T>());
}
template<typename T, typename O> inline T& max(T& x, T& y, O o) {
 return o(y, x) ? x : y;
}
template<typename T> inline T& max(T& x, T& y) {
 return max(x, y, lessf<T>());
}
# 282 "/home/schultz/c/schultz/language/base"
template<typename I, typename T, typename E> I find(I a, I b, const T& x, E e) {
 for (; a != b; ++a) if (e(*a, x)) return a;
 return a;
}
template<typename I, typename T> inline I find(I a, I b, const T& x) {
 return find(a, b, x, equalf<typename iterator_traits< I >::value_type>());
}
# 311 "/home/schultz/c/schultz/language/base"
template<typename I, typename J, typename E> inline bool equal(I a, I b, J c, E e) {
 for (; a != b; ++a, ++c) if (!e(*a, *c)) return false;
 return true;
}
template<typename I, typename J> inline bool equal(I a, I b, J c) {
 return equal(a, b, c, equalf<typename iterator_traits< I >::value_type>());
}


template<typename I, typename J, typename E> inline bool equal(I a, I b, J c, J d, E e) {
 return (b-a == d-c) && equal(a, b, c, e);
}
template<typename I, typename J> inline bool equal(I a, I b, J c, J d) {
 return equal(a, b, c, d, equalf<typename iterator_traits< I >::value_type>());
}
# 350 "/home/schultz/c/schultz/language/base"
template<typename I, typename J, typename O> bool lex_less(I a, I b, J c, O o) {
 typedef typename iterator_traits< I >::value_type T;
 for (; a != b; ++a, ++c) {
  const T& x = *a;
  const T& y = *c;
  if (o(x, y)) return true;
  else if (o(y, x)) return false;
 }
 return false;
}
template<typename I, typename J> inline bool lex_less(I a, I b, J c) {
 return lex_less(a, b, c, lessf<typename iterator_traits< I >::value_type>());
}


template<> inline bool lex_less(const unsigned char* a, const unsigned char* b, const unsigned char* c, lessf<unsigned char>) {
 ;
 return memcmp(a, c, b-a) < 0;
}
template<> inline bool lex_less(const char* a, const char* b, const char* c, lessf<char>) {
 ;
 return memcmp(a, c, b-a) < 0;
}
template<> inline bool lex_less(const unsigned char* a, const unsigned char* b, const unsigned char* c, greaterf<unsigned char>) {
 ;
 return memcmp(a, c, b-a) > 0;
}
template<> inline bool lex_less(const char* a, const char* b, const char* c, greaterf<char>) {
 ;
 return memcmp(a, c, b-a) > 0;
}


template<typename I, typename J, typename O> bool lex_less(I a, I b, J c, J d, O o) {
 typedef typename iterator_traits< I >::value_type T;
 for (; a != b && c != d; ++a, ++c) {
  const T& x = *a;
  const T& y = *c;
  if (o(x, y)) return true;
  else if (o(y, x)) return false;
 }
 return c != d;
}
template<typename I, typename J> inline bool lex_less(I a, I b, J c, J d) {
 return lex_less(a, b, c, d, lessf<typename iterator_traits< I >::value_type>());
}


template<> inline bool lex_less(const unsigned char* a, const unsigned char* b, const unsigned char* c, const unsigned char* d, lessf<unsigned char>) {
 ;
 nat m = b-a, n = d-c;
 int r = memcmp(a, c, min(m, n));
 return r < 0 || (r == 0 && m < n);
}
template<> inline bool lex_less(const char* a, const char* b, const char* c, const char* d, lessf<char>) {
 ;
 nat m = b-a, n = d-c;
 int r = memcmp(a, c, min(m, n));
 return r < 0 || (r == 0 && m < n);
}
template<> inline bool lex_less(const unsigned char* a, const unsigned char* b, const unsigned char* c, const unsigned char* d, greaterf<unsigned char>) {
 ;
 nat m = b-a, n = d-c;
 int r = memcmp(a, c, min(m, n));
 return r > 0 || (r == 0 && m < n);
}
template<> inline bool lex_less(const char* a, const char* b, const char* c, const char* d, greaterf<char>) {
 ;
 nat m = b-a, n = d-c;
 int r = memcmp(a, c, min(m, n));
 return r > 0 || (r == 0 && m < n);
}
# 437 "/home/schultz/c/schultz/language/base"
template<typename I, typename O> I minimum(I a, I b, O o) {
 ;
 I m = a;
 while (++a != b) if (o(*a, *m)) m = a;
 return m;
}
template<typename I> inline I minimum(I a, I b) {
 return minimum(a, b, lessf<typename iterator_traits< I >::value_type>());
}


template<typename I, typename O> I maximum(I a, I b, O o) {
 ;
 I m = a;
 while (++a != b) if (o(*m, *a)) m = a;
 return m;
}
template<typename I> inline I maximum(I a, I b) {
 return maximum(a, b, lessf<typename iterator_traits< I >::value_type>());
}
# 467 "/home/schultz/c/schultz/language/base"
template<typename I, typename O> bool is_sorted(I a, I b, O o) {
 if (a == b) return true;
 else for (;;) {
  I i = a;
  ++a;
  if (a == b) return true;
  else if (o(*a, *i)) return false;
 }
 ;
}
template<typename I> inline bool is_sorted(I a, I b) {
 return is_sorted(a, b, lessf<typename iterator_traits< I >::value_type>());
}
# 492 "/home/schultz/c/schultz/language/base"
template<typename I, typename F> typename iterator_traits< I >::value_type foldl(I a, I b, F f, const typename iterator_traits< I >::value_type& e) {
 typename iterator_traits< I >::value_type r = e;
 for (; a != b; ++a) f(r, *a);
 return r;
}
# 507 "/home/schultz/c/schultz/language/base"
namespace __schultz {

 template<bool> struct sum_meta {
  template<typename T> struct return_type {
   typedef typeof(((T)(*((T*)(0)))) + ((T)(*((T*)(0))))) value;
  };
  template<typename T> static inline typeof(((T)(*((T*)(0)))) + ((T)(*((T*)(0))))) sum(const T& a, const T& b) {
   return a+b;
  }
 };


 template<> struct sum_meta<true> {
  template<typename I> struct return_type {
   typedef typename iterator_traits< I >::value_type value;
  };
  template<typename I> static inline typename iterator_traits< I >::value_type sum(I a, I b) {
   typename iterator_traits< I >::value_type s = 0;
   for (; a != b; ++a) s+= *a;
   return s;
  }
 };
}

template<typename T> inline typename __schultz::sum_meta<type_traits<T>::iterator>::template return_type<T>::value sum(const T& a, const T& b) {
 return __schultz::sum_meta<type_traits<T>::iterator>::sum(a, b);
}
# 548 "/home/schultz/c/schultz/language/base"
template<typename I, typename F> void map(I a, I b, F f) {
 for (; a != b; ++a) f(*a);
}


template<typename I, typename J, typename F> J map(I a, I b, J c, F f) {
 for (; a != b; ++a, ++c) *c = f(*a);
 return c;
}
# 25 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/pair" 1







namespace __schultz {






 template<typename T, typename U> struct pair_base {







  T first;
  U second;
# 33 "/home/schultz/c/schultz/language/pair"
  static inline void swap(pair_base<T, U>& p, pair_base<T, U>& q) {
   schultz::swap(p.first, q.first);
   schultz::swap(p.second, q.second);
  }
# 45 "/home/schultz/c/schultz/language/pair"
  inline bool operator ==(const pair_base<T, U>& p) const {
   return first == p.first && second == p.second;
  }
  inline bool operator !=(const pair_base<T, U>& p) const {
   return !((*this) == p);
  }
# 62 "/home/schultz/c/schultz/language/pair"
  inline bool operator <(const pair_base<T, U>& p) const {
   return first < p.first || (first == p.first && second < p.second);
  }
  inline bool operator >(const pair_base<T, U>& p) const {
   return p < (*this);
  }
  inline bool operator <=(const pair_base<T, U>& p) const {
   return !(p < (*this));
  }
  inline bool operator >=(const pair_base<T, U>& p) const {
   return !((*this) < p);
  }
# 87 "/home/schultz/c/schultz/language/pair"
  inline pair_base() {}
  inline pair_base(const T& f, const U& s) : first(f), second(s) {}
# 104 "/home/schultz/c/schultz/language/pair"
  struct type_traits : public default_type_traits< pair_base<T, U> > {
   enum {
    trivial = schultz::type_traits<T>::trivial && schultz::type_traits<U>::trivial,
    trivial_constructor = schultz::type_traits<T>::trivial_constructor && schultz::type_traits<U>::trivial_constructor,
    trivial_copy = schultz::type_traits<T>::trivial_copy && schultz::type_traits<U>::trivial_copy,
    trivial_destructor = schultz::type_traits<T>::trivial_destructor && schultz::type_traits<U>::trivial_destructor,

    special_swap = schultz::type_traits<T>::special_swap || schultz::type_traits<U>::special_swap
   };
  };
 };
}
# 132 "/home/schultz/c/schultz/language/pair"
template<typename T, typename U = T> struct pair : public __schultz::pair_base<T, U> {

 inline pair() {}
 inline pair(const T& f, const U& s) : __schultz::pair_base<T, U>::pair_base(f, s) {}
};


template<typename T> struct pair<T, T> : public __schultz::pair_base<T, T> {

 using __schultz::pair_base<T, T>::first;
 using __schultz::pair_base<T, T>::second;
# 156 "/home/schultz/c/schultz/language/pair"
 inline const T& operator [](nat i) const {
  ;
  return i == 0 ? first : second;
 }
 inline T& operator [](nat i) {
  ;
  return i == 0 ? first : second;
 }


 inline pair() {}
 inline pair(const T& f, const T& s) : __schultz::pair_base<T, T>::pair_base(f, s) {}
};







template<typename T, typename U> inline pair<T, U> make_pair(const T& f, const U& s) {
 return pair<T, U>(f, s);
}
# 26 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/range" 1
# 14 "/home/schultz/c/schultz/language/range"
template<typename I> struct range {
 private:







  I _a, _b;

 public:
# 34 "/home/schultz/c/schultz/language/range"
  inline nat size() const {return _b-_a;}
# 43 "/home/schultz/c/schultz/language/range"
  static inline void swap(range<I>& r, range<I>& s) {
   schultz::swap(r._a, s._a);
   schultz::swap(r._b, s._b);
  }
# 59 "/home/schultz/c/schultz/language/range"
  inline bool operator ==(const range<I>& r) const {
   return _a == r._a && _b == r._b;
  }
  inline bool operator !=(const range<I>& r) const {
   return !((*this) == r);
  }
# 83 "/home/schultz/c/schultz/language/range"
  typedef I const_iterator;
  typedef I iterator;
  inline I begin() const {return _a;}
  inline I end() const {return _b;}
# 95 "/home/schultz/c/schultz/language/range"
  inline range() {}
  inline range(I a, I b) : _a(a), _b(b) {}
# 108 "/home/schultz/c/schultz/language/range"
  struct type_traits : public default_type_traits< range<I> > {
   enum {
    trivial = true,

    special_swap = schultz::type_traits<I>::special_swap
   };
  };
};







template<typename I> inline range<I> make_range(I a, I b) {
 return range<I>(a, b);
}
# 27 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/mrange" 1
# 25 "/home/schultz/c/schultz/language/mrange"
template<typename I, typename F> struct mrange {
 private:







  I _a, _b;

 public:







  inline nat size() const {return _b-_a;}







  static inline void swap(mrange<I, F>& M, mrange<I, F>& N) {
   schultz::swap(M._a, N._a);
   schultz::swap(M._b, N._b);
  }
# 69 "/home/schultz/c/schultz/language/mrange"
  inline bool operator ==(const mrange<I, F>& M) const {
   return _a == M._a && _b == M._b;
  }
  inline bool operator !=(const mrange<I, F>& M) const {
   return !((*this) == M);
  }
# 106 "/home/schultz/c/schultz/language/mrange"
  struct const_iterator {

   I i;


   typename F::return_type operator *() const {
    return F()(*i);
   }
   typename F::return_type operator [](nat idx) const {
    return F()(*(i+idx));
   }


   static inline void swap(const_iterator& i, const_iterator& j) {
    schultz::swap(i.i, j.i);
   }


   inline bool operator ==(const_iterator it) const {return i == it.i;}
   inline bool operator !=(const_iterator it) const {return i != it.i;}


   inline bool operator <(const_iterator it) const {return i < it.i;}
   inline bool operator >(const_iterator it) const {return i > it.i;}
   inline bool operator <=(const_iterator it) const {return i <= it.i;}
   inline bool operator >=(const_iterator it) const {return i >= it.i;}


   inline const_iterator& operator ++() {
    ++i;
    return (*this);
   }
   inline const_iterator operator ++(int) {
    const_iterator r = i;
    ++(*this);
    return r;
   }
   inline const_iterator& operator --() {
    --i;
    return (*this);
   }
   inline const_iterator operator --(int) {
    const_iterator r = i;
    --(*this);
    return r;
   }
   inline const_iterator& operator +=(nat n) {
    i+= n;
    return (*this);
   }
   inline const_iterator operator +(nat n) const {return const_iterator(i+n);}
   inline const_iterator& operator -=(nat n) {
    i-= n;
    return (*this);
   }
   inline const_iterator operator -(nat n) const {return const_iterator(i-n);}
   inline nat operator -(const_iterator it) {return i-it.i;}


   inline const_iterator() {}
   explicit inline const_iterator(I it) : i(it) {}


   struct iterator_traits : public default_iterator_traits<const_iterator> {
    enum {
     constant = true,
     persistent = false,
     bidirectional = schultz::iterator_traits<I>::bidirectional,
     random_access = schultz::iterator_traits<I>::random_access
    };

    typedef typename F::return_type value_type;
   };


   struct type_traits : public iterator_type_traits<const_iterator> {
    enum {
     special_swap = schultz::type_traits<I>::special_swap
    };
   };
  };


  typedef const_iterator iterator;
# 198 "/home/schultz/c/schultz/language/mrange"
  inline const_iterator begin() const {return const_iterator(_a);}
  inline const_iterator end() const {return const_iterator(_b);}
# 208 "/home/schultz/c/schultz/language/mrange"
  inline mrange() {}
  inline mrange(I a, I b) : _a(a), _b(b) {}
# 218 "/home/schultz/c/schultz/language/mrange"
  struct type_traits : public default_type_traits< mrange<I, F> > {
   enum {
    trivial = true,

    special_swap = schultz::type_traits<I>::special_swap
   };
  };
};
# 28 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/interval" 1







namespace __schultz {






 template<typename T> struct interval_base {
# 24 "/home/schultz/c/schultz/language/interval"
  T left, right;
# 33 "/home/schultz/c/schultz/language/interval"
  inline typeof(((T)(*((T*)(0)))) - ((T)(*((T*)(0))))) size() const {
   return right-left;
  }







  static inline void swap(interval_base<T>& I, interval_base<T>& J) {
   schultz::swap(I.left, J.left);
   schultz::swap(I.right, J.right);
  }
# 57 "/home/schultz/c/schultz/language/interval"
  inline bool operator ==(const interval_base<T>& I) const {
   return left == I.left && right == I.right;
  }
  inline bool operator !=(const interval_base<T>& I) const {
   return !((*this) == I);
  }
# 78 "/home/schultz/c/schultz/language/interval"
  inline bool contains(const T& x) const {
   return left <= x && x < right;
  }
  inline bool contains(const interval_base<T>& I) const {
   return left <= I.left && I.right <= right;
  }
# 93 "/home/schultz/c/schultz/language/interval"
  inline interval_base() {}
  inline interval_base(const T& l, const T& r) : left(l), right(r) {}
# 107 "/home/schultz/c/schultz/language/interval"
  struct type_traits : public default_type_traits< interval_base<T> > {
   enum {
    trivial = schultz::type_traits<T>::trivial,
    trivial_constructor = schultz::type_traits<T>::trivial_constructor,
    trivial_copy = schultz::type_traits<T>::trivial_copy,
    trivial_destructor = schultz::type_traits<T>::trivial_destructor,

    special_swap = schultz::type_traits<T>::special_swap
   };
  };
 };
}
# 181 "/home/schultz/c/schultz/language/interval"
template<typename T, bool B = type_traits<T>::trivial> struct interval : public __schultz::interval_base<T> {

 using __schultz::interval_base<T>::left;
 using __schultz::interval_base<T>::right;


 using __schultz::interval_base<T>::size;
# 202 "/home/schultz/c/schultz/language/interval"
 struct const_iterator {

  const interval<T, B>* I;


  nat i;


  inline T operator *() const {
   ;
   return I->left + i;
  }
  inline T operator [](nat k) const {
   ;
   return I->left + i + k;
  }


  inline bool operator ==(const_iterator it) const {return i == it.i;}
  inline bool operator !=(const_iterator it) const {return i != it.i;}


  inline bool operator <(const_iterator it) const {return i < it.i;}
  inline bool operator >(const_iterator it) const {return i > it.i;}
  inline bool operator <=(const_iterator it) const {return i <= it.i;}
  inline bool operator >=(const_iterator it) const {return i >= it.i;}


  inline const_iterator& operator ++() {++i; return (*this);}
  inline const_iterator operator ++(int) {
   const_iterator r = (*this);
   ++i;
   return r;
  }
  inline const_iterator& operator --() {
   ;
   --i;
   return (*this);
  }
  inline const_iterator operator --(int) {
   ;
   const_iterator r = (*this);
   --i;
   return r;
  }
  inline const_iterator& operator +=(nat x) {i+= x; return (*this);}
  inline const_iterator operator +(nat x) const {
   return const_iterator(I, i+x);
  }
  inline const_iterator& operator -=(nat x) {
   ;
   i-= x;
   return (*this);
  }
  inline const_iterator operator -(nat x) const {
   ;
   return const_iterator(I, i-x);
  }
  inline nat operator -(const_iterator it) const {
   ;
   return i - it.i;
  }


  inline const_iterator() {}
  inline const_iterator(const interval<T, B>* p, nat idx) : I(p), i(idx) {}


  struct iterator_traits : public default_iterator_traits<const_iterator> {
   enum {
    constant = true,
    persistent = false,
    bidirectional = true,
    random_access = true
   };

   typedef T value_type;
  };


  struct type_traits : public iterator_type_traits<const_iterator> {};
 };


 typedef const_iterator iterator;
# 295 "/home/schultz/c/schultz/language/interval"
 inline const_iterator begin() const {return const_iterator(this, 0);}
 inline const_iterator end() const {return const_iterator(this, size());}


 inline interval() {}
 inline interval(const T& l, const T& r) : __schultz::interval_base<T>::interval_base(l, r) {}
};


template<typename T> struct interval<T, true> : public __schultz::interval_base<T> {

 using __schultz::interval_base<T>::left;
 using __schultz::interval_base<T>::right;
# 322 "/home/schultz/c/schultz/language/interval"
 struct const_iterator {

  T e;


  inline const T& operator *() const {return e;}
  inline const T* operator ->() const {return &e;}
  inline T operator [](nat i) const {return e+i;}


  inline bool operator ==(const_iterator i) const {return e == i.e;}
  inline bool operator !=(const_iterator i) const {return e != i.e;}


  inline bool operator <(const_iterator i) const {return e < i.e;}
  inline bool operator >(const_iterator i) const {return e > i.e;}
  inline bool operator <=(const_iterator i) const {return e <= i.e;}
  inline bool operator >=(const_iterator i) const {return e >= i.e;}


  inline const_iterator& operator ++() {++e; return (*this);}
  inline const_iterator operator ++(int) {
   const_iterator r = (*this);
   ++e;
   return r;
  }
  inline const_iterator& operator --() {--e; return (*this);}
  inline const_iterator operator --(int) {
   const_iterator r = (*this);
   --e;
   return r;
  }
  inline const_iterator& operator +=(nat i) {e+= i; return (*this);}
  inline const_iterator operator +(nat i) const {return const_iterator(e+i);}
  inline const_iterator& operator -=(nat i) {e-= i; return (*this);}
  inline const_iterator operator -(nat i) const {return const_iterator(e-i);}
  inline nat operator -(const_iterator i) const {
   ;
   return e - i.e;
  }


  inline const_iterator() {}
  explicit inline const_iterator(T x) : e(x) {}


  struct iterator_traits : public default_iterator_traits<const_iterator> {
   enum {
    constant = true,
    persistent = false,
    bidirectional = schultz::type_traits<T>::fast_decrement,
    random_access = schultz::type_traits<T>::fast_random_increment
   };

   typedef T value_type;
  };


  struct type_traits : public iterator_type_traits<const_iterator> {};
 };


 typedef const_iterator iterator;
# 393 "/home/schultz/c/schultz/language/interval"
 inline const_iterator begin() const {return const_iterator(left);}
 inline const_iterator end() const {return const_iterator(right);}


 inline interval() {}
 inline interval(const T& l, const T& r) : __schultz::interval_base<T>::interval_base(l, r) {}
};
# 409 "/home/schultz/c/schultz/language/interval"
typedef interval<nat> _;
# 423 "/home/schultz/c/schultz/language/interval"
template<typename T, bool B> inline interval<T, B> make_interval(const T& l, const T& r, bool_type<B>) {
 return interval<T, B>(l, r);
}
template<typename T> inline interval<T> make_interval(const T& l, const T& r) {
 return interval<T>(l, r);
}
# 29 "/home/schultz/c/schultz/schultz" 2
# 1 "/home/schultz/c/schultz/language/memory" 1
# 25 "/home/schultz/c/schultz/language/memory"
}
template<typename T> inline void* operator new(size_t, T* p) {return p;}
namespace schultz {
# 51 "/home/schultz/c/schultz/language/memory"
namespace __schultz {

 template<bool, bool> struct copy_meta {
  template<typename I, typename J> static J copy(I a, I b, J c) {
   for (; a != b; ++a, ++c) *c = *a;
   return c;
  }
 };


 template<> struct copy_meta<true, false> {
  template<typename I, typename J> static J copy(I a, I b, J c) {
   for (nat n = b-a; n != 0; --n, ++a, ++c) *c = *a;
   return c;
  }
 };


 template<> struct copy_meta<true, true> {
  template<typename T> static inline T* copy(const T* a, const T* b, T* c) {
   ;
   nat n = b-a;
   memcpy(c, a, n*sizeof(T));
   return c+n;
  }
 };
}


template<typename I, typename J> inline J copy(I a, I b, J c) {
 typedef typename iterator_traits< I >::value_type T;
 enum {fast = ((type_equality< I, T* >::value) || (type_equality< I, const T* >::value)) && (type_equality< J, T* >::value)};
 return __schultz::copy_meta<iterator_traits<I>::random_access, fast && type_traits<T>::trivial_copy>::copy(a, b, c);
}
# 115 "/home/schultz/c/schultz/language/memory"
namespace __schultz {

 template<bool, bool> struct shift_left_meta {
  template<typename I> static I shift_left(I a, I b, nat n) {
   I c = a;
   step_back(c, n);
   for (; a != b; ++a, ++c) swap(*c, *a);
   return c;
  }
 };


 template<> struct shift_left_meta<true, false> {
  template<typename I> static I shift_left(I a, I b, nat n) {
   I c = a;
   step_back(c, n);
   for (; a != b; ++a, ++c) *c = *a;
   return c;
  }
 };


 template<> struct shift_left_meta<true, true> {
  template<typename T> static inline T* shift_left(T* a, T* b, nat n) {
   ;
   memcpy(a-n, a, (b-a)*sizeof(T));
   return b-n;
  }
 };
}


template<typename I> inline I shift_left(I a, I b, nat n) {
 typedef typename iterator_traits< I >::value_type T;
 return __schultz::shift_left_meta<!type_traits<T>::special_swap, (type_equality< I, T* >::value) && type_traits<T>::trivial_copy>::shift_left(a, b, n);
}
# 179 "/home/schultz/c/schultz/language/memory"
namespace __schultz {

 template<bool, bool> struct shift_right_meta {
  template<typename I> static I shift_right(I a, I b, nat n) {
   I c = b;
   advance(c, n);
   while (b != a) {
    --b;
    --c;
    swap(*b, *c);
   }
   return c;
  }
 };


 template<> struct shift_right_meta<true, false> {
  template<typename I> static I shift_right(I a, I b, nat n) {
   I c = b;
   advance(c, n);
   while (b != a) {
    --b;
    --c;
    *c = *b;
   }
   return c;
  }
 };


 template<> struct shift_right_meta<true, true> {
  template<typename T> static inline T* shift_right(T* a, T* b, nat n) {
   ;
   memmove(a+n, a, (b-a)*sizeof(T));
   return a+n;
  }
 };
}


template<typename I> inline I shift_right(I a, I b, nat n) {
 typedef typename iterator_traits< I >::value_type T;
 return __schultz::shift_right_meta<!type_traits<T>::special_swap, (type_equality< I, T* >::value) && type_traits<T>::trivial_copy>::shift_right(a, b, n);
}
# 234 "/home/schultz/c/schultz/language/memory"
namespace __schultz {

 template<bool> struct fill_meta {
  template<typename I, typename T> static void fill(I a, I b, const T& x) {
   for (; a != b; ++a) *a = x;
  }
 };


 template<> struct fill_meta<true> {
  template<typename T> static inline void fill(T* a, T* b, const T& x) {
   ;
   memset(a, *(const unsigned char*)(&x), b-a);
  }
 };
}


template<typename I, typename T> inline void fill(I a, I b, const T& x) {
 enum {fast = (type_equality< I, T* >::value) && sizeof(T) == 1};
 __schultz::fill_meta<fast && type_traits<T>::trivial_copy>::fill(a, b, x);
}
# 300 "/home/schultz/c/schultz/language/memory"
struct system_allocation {

 static void* allocate(nat n) {
  if (n == 0) return 0;
  else {
   void* p = malloc(n);
   if (!(p)) {schultz::__schultz::requirement_failure("/home/schultz/c/schultz/language/memory", 306);};
   return p;
  }
 }


 static inline void deallocate(void* p, void* q) {
  ;
  if (p != q) free(p);
 }


 enum {reallocation = true};
 static void* reallocate(void* p, void* q, nat n) {
  ;
  if (p == q) return allocate(n);
  else if (n == 0) {
   deallocate(p, q);
   return 0;
  }
  else {
   void* a = realloc(p, n);
   if (!(a)) {schultz::__schultz::requirement_failure("/home/schultz/c/schultz/language/memory", 328);};
   return a;
  }
 }
};


typedef system_allocation default_allocation;
# 367 "/home/schultz/c/schultz/language/memory"
namespace __schultz {
 template<bool> struct construct_meta {
  template<typename T> static inline void construct(T& x) {
   new(&x) T;
  }
 };

 template<> struct construct_meta<true> {
  template<typename T> static inline void construct(T& x) {}
 };
}
template<typename T> inline void construct(T& x) {
 __schultz::construct_meta<type_traits<T>::trivial_constructor>::construct(x);
}


namespace __schultz {
 template<bool> struct construct_meta1 {
  template<typename I> static void construct(I a, I b) {
   typedef typename iterator_traits< I >::value_type T;
   for (; a != b; ++a) new(&*a) T;
  }
 };

 template<> struct construct_meta1<true> {
  template<typename I> static inline void construct(I a, I b) {}
 };
}
template<typename I> inline void construct(I a, I b) {
 typedef typename iterator_traits< I >::value_type T;
 __schultz::construct_meta1<type_traits<T>::trivial_constructor>::construct(a, b);
}


namespace __schultz {
 template<bool> struct construct_meta2 {
  template<typename I, typename J> static J construct(I a, I b, J c) {
   typedef typename iterator_traits< I >::value_type T;
   for (; a != b; ++a, ++c) new(&*c) T(*a);
   return c;
  }
 };

 template<> struct construct_meta2<true> {
  template<typename I, typename J> static inline J construct(I a, I b, J c) {
   return copy(a, b, c);
  }
 };
}
template<typename I, typename J> inline J construct(I a, I b, J c) {
 typedef typename iterator_traits< I >::value_type T;
 return __schultz::construct_meta2<type_traits<T>::trivial_copy>::construct(a, b, c);
}
# 438 "/home/schultz/c/schultz/language/memory"
namespace __schultz {
 template<bool> struct copy_construct_meta {
  template<typename T> static inline void copy_construct(T& x, const T& y) {
   new(&x) T(y);
  }
 };

 template<> struct copy_construct_meta<true> {
  template<typename T> static inline void copy_construct(T& x, const T& y) {
   x = y;
  }
 };
}
template<typename T> inline void copy_construct(T& x, const T& y) {
 __schultz::copy_construct_meta<type_traits<T>::trivial_copy>::copy_construct(x, y);
}


namespace __schultz {
 template<bool> struct copy_construct_meta1 {
  template<typename I, typename T> static void copy_construct(I a, I b, const T& x) {
   for (; a != b; ++a) new(&*a) T(x);
  }
 };

 template<> struct copy_construct_meta1<true> {
  template<typename I, typename T> static inline void copy_construct(I a, I b, const T& x) {
   fill(a, b, x);
  }
 };
}
template<typename I, typename T> inline void copy_construct(I a, I b, const T& x) {
 __schultz::copy_construct_meta1<type_traits<T>::trivial_copy>::copy_construct(a, b, x);
}
# 491 "/home/schultz/c/schultz/language/memory"
namespace __schultz {
 template<bool> struct destruct_meta {
  template<typename T> static inline void destruct(T& x) {
   x.~T();
  }
 };

 template<> struct destruct_meta<true> {
  template<typename T> static inline void destruct(T& x) {}
 };
}
template<typename T> inline void destruct(T& x) {
 __schultz::destruct_meta<type_traits<T>::trivial_destructor>::destruct(x);
}


namespace __schultz {
 template<bool> struct destruct_meta1 {
  template<typename I> static void destruct(I a, I b) {
   typedef typename iterator_traits< I >::value_type T;
   for (; a != b; ++a) a->~T();
  }
 };

 template<> struct destruct_meta1<true> {
  template<typename I> static inline void destruct(I a, I b) {}
 };
}
template<typename I> inline void destruct(I a, I b) {
 typedef typename iterator_traits< I >::value_type T;
 __schultz::destruct_meta1<type_traits<T>::trivial_destructor>::destruct(a, b);
}

namespace __schultz {
# 549 "/home/schultz/c/schultz/language/memory"
 template<typename T, typename A> inline T* allocate(nat n) {
  T* p = (T*)A::allocate(n*sizeof(T));
  construct(p, p+n);
  return p;
 }
 template<typename T, typename A> inline T* allocate(nat n, const T& x) {
  T* p = (T*)A::allocate(n*sizeof(T));
  copy_construct(p, p+n, x);
  return p;
 }
 template<typename T, typename A> inline T* allocate_1() {
  T* p = (T*)A::allocate(sizeof(T));
  construct(*p);
  return p;
 }
 template<typename T, typename A> inline T* allocate_1(const T& x) {
  T* p = (T*)A::allocate(sizeof(T));
  copy_construct(*p, x);
  return p;
 }
 template<typename T, typename A, typename I> inline T* allocate_copy(I a, I b) {
  T* p = (T*)A::allocate((b-a)*sizeof(T));
  construct(a, b, p);
  return p;
 }
 template<typename T, typename A, typename I> inline T* allocate_copy(I a, I b, nat n) {
  ;
  T* p = (T*)A::allocate(n*sizeof(T));
  construct(a, b, p);
  return p;
 }
# 591 "/home/schultz/c/schultz/language/memory"
 template<typename T, typename A> inline void deallocate(T* p, T* q) {
  ;
  destruct(p, q);
  A::deallocate(p, q);
 }
 template<typename T, typename A> inline void deallocate_1(T* p) {
  ;
  destruct(*p);
  A::deallocate(p, p+1);
 }
# 615 "/home/schultz/c/schultz/language/memory"
 template<bool> struct reallocate_meta {

  template<typename T, typename A> static T* reallocate(T* p, T* q, nat n, A) {
   ;
   T* a = (T*)A::allocate(n*sizeof(T));
   nat m = q-p;
   if (m < n) {
    construct(a+m, a+n);
    memcpy(a, p, m*sizeof(T));
   }
   else {
    destruct(p+n, q);
    memcpy(a, p, n*sizeof(T));
   }
   A::deallocate(p, q);
   return a;
  }
 };
 template<> struct reallocate_meta<true> {
  template<typename T, typename A> static T* reallocate(T* p, T* q, nat n, A) {
   ;
   nat m = q-p;
   if (m < n) {
    p = (T*)A::reallocate(p, q, n*sizeof(T));
    construct(p+m, p+n);
    return p;
   }
   else {
    destruct(p+n, p+m);
    return (T*)A::reallocate(p, q, n*sizeof(T));
   }
  }
 };
 template<typename T, typename A> inline T* reallocate(T* p, T* q, nat n) {
  return reallocate_meta<A::reallocation>::reallocate(p, q, n, A());
 }
}
# 682 "/home/schultz/c/schultz/language/memory"
template<typename T, typename A = default_allocation> struct allocation {

 static inline T* allocate(nat n) {return __schultz::allocate<T, A>(n);}
 static inline T* allocate(nat n, const T& x) {return __schultz::allocate<T, A>(n, x);}
 static inline T* allocate_1() {return __schultz::allocate_1<T, A>();}
 static inline T* allocate_1(const T& x) {return __schultz::allocate_1<T, A>(x);}
 template<typename I> static inline T* allocate_copy(I a, I b) {
  return __schultz::allocate_copy<T, A>(a, b);
 }
 template<typename I> static inline T* allocate_copy(I a, I b, nat n) {
  return __schultz::allocate_copy<T, A>(a, b, n);
 }


 static inline void deallocate(T* p, T* q) {__schultz::deallocate<T, A>(p, q);}
 static inline void deallocate_1(T* p) {__schultz::deallocate_1<T, A>(p);}


 static inline T* reallocate(T* p, T* q, nat n) {return __schultz::reallocate<T, A>(p, q, n);}
};
# 30 "/home/schultz/c/schultz/schultz" 2
}
# 12 "src/circle" 2
# 1 "/home/schultz/c/schultz/structure/vector2" 1
# 11 "/home/schultz/c/schultz/structure/vector2"
namespace schultz {
 template<typename T> struct vector2 {







  T x, y;
# 30 "/home/schultz/c/schultz/structure/vector2"
  inline const T& operator [](nat i) const {
   ;
   return i == 0 ? x : y;
  }
  inline T& operator [](nat i) {
   ;
   return i == 0 ? x : y;
  }
# 46 "/home/schultz/c/schultz/structure/vector2"
  static inline void swap(vector2<T>& v, vector2<T>& u) {
   schultz::swap(v.x, u.x);
   schultz::swap(v.y, u.y);
  }
# 58 "/home/schultz/c/schultz/structure/vector2"
  inline bool operator ==(const vector2<T>& v) const {
   return x == v.x && y == v.y;
  }
  inline bool operator !=(const vector2<T>& v) const {
   return !((*this) == v);
  }
# 80 "/home/schultz/c/schultz/structure/vector2"
  inline vector2<T>& operator +=(const vector2<T>& v) {
   x+= v.x;
   y+= v.y;
   return (*this);
  }
  inline vector2<T> operator +(const vector2<T>& v) const {
   return vector2<T>(x+v.x, y+v.y);
  }


  inline vector2<T> operator -() const {
   return vector2<T>(-x, -y);
  }


  inline vector2<T>& operator -=(const vector2<T>& v) {
   x-= v.x;
   y-= v.y;
   return (*this);
  }
  inline vector2<T> operator -(const vector2<T>& v) const {
   return vector2<T>(x-v.x, y-v.y);
  }


  inline vector2<T>& operator *=(const T& a) {
   x*= a;
   y*= a;
   return (*this);
  }
  inline vector2<T> operator *(const T& a) const {
   return vector2<T>(x*a, y*a);
  }
  inline vector2<T>& operator /=(const T& a) {
   x/= a;
   y/= a;
   return (*this);
  }
  inline vector2<T> operator /(const T& a) const {
   return vector2<T>(x/a, y/a);
  }


  inline typeof(((typeof(((T)(*((T*)(0)))) * ((T)(*((T*)(0))))))(*((typeof(((T)(*((T*)(0)))) * ((T)(*((T*)(0)))))*)(0)))) + ((typeof(((T)(*((T*)(0)))) * ((T)(*((T*)(0))))))(*((typeof(((T)(*((T*)(0)))) * ((T)(*((T*)(0)))))*)(0))))) operator *(const vector2<T>& v) const {
   return x*v.x + y*v.y;
  }







  inline vector2() {}
  inline vector2(const T& a, const T& b) : x(a), y(b) {}







  struct type_traits : public default_type_traits< vector2<T> > {
   enum {
    trivial = schultz::type_traits<T>::trivial,
    trivial_constructor = schultz::type_traits<T>::trivial_constructor,
    trivial_copy = schultz::type_traits<T>::trivial_copy,
    trivial_destructor = schultz::type_traits<T>::trivial_destructor,

    special_swap = schultz::type_traits<T>::special_swap
   };
  };
 };







 template<typename T> inline vector2<T> operator *(const T& a, const vector2<T>& v) {
  return vector2<T>(a*v.x, a*v.y);
 }







 template<typename T> inline vector2<T> make_vector2(const T& x, const T& y) {
  return vector2<T>(x, y);
 }
}
# 13 "src/circle" 2

# 1 "/home/schultz/c/schultz/structure/avl_tree" 1
# 11 "/home/schultz/c/schultz/structure/avl_tree"
namespace schultz {
# 27 "/home/schultz/c/schultz/structure/avl_tree"
 template<typename T, typename O = lessf<T>, typename ALLOC = default_allocation> struct avl_tree {
  private:
# 44 "/home/schultz/c/schultz/structure/avl_tree"
   struct node {

    T elem;


    node *left, *right, *father;


    int balance;


    static void swap(node& m, node& n) {
     schultz::swap(m.elem, n.elem);
     schultz::swap(m.left, n.left);
     schultz::swap(m.right, n.right);
     schultz::swap(m.father, n.father);
     schultz::swap(m.balance, n.balance);
    }


    struct type_traits : public default_type_traits<node> {
     enum {
      trivial = schultz::type_traits<T>::trivial,
      trivial_constructor = schultz::type_traits<T>::trivial_constructor,
      trivial_copy = schultz::type_traits<T>::trivial_copy,
      trivial_destructor = schultz::type_traits<T>::trivial_destructor,

      special_swap = schultz::type_traits<T>::special_swap
     };
    };
   };







   typedef allocation<node, ALLOC> _alloc;
# 91 "/home/schultz/c/schultz/structure/avl_tree"
   node* _root;
# 101 "/home/schultz/c/schultz/structure/avl_tree"
   template<typename I> static pair<node*, nat> _assemble_aux(I a, I b) {
    if (a != b) {
     I m = a+(b-a)/2;
     node* n = (node*)ALLOC::allocate(sizeof(node));
     copy_construct(n->elem, *m);
     const pair<node*, nat> &p = _assemble_aux(a, m);
     const pair<node*, nat> &q = _assemble_aux(++m, b);
     n->left = p.first;
     n->right = q.first;
     if (n->left) n->left->father = n;
     if (n->right) n->right->father = n;
     n->balance = q.second - p.second;
     return make_pair(n, max(p.second, q.second)+1);
    }
    else return pair<node*, nat>(0, 0);
   }
   template<typename I> inline void _assemble(I a, I b) {
    ;
    _root = _assemble_aux(a, b).first;
    if (_root) _root->father = 0;
   }
# 134 "/home/schultz/c/schultz/structure/avl_tree"
   static void _clear_aux(node* n) {
    ;
    if (n->left) _clear_aux(n->left);
    if (n->right) _clear_aux(n->right);
    _alloc::deallocate_1(n);
   }


   static node* _copy_aux(node* n) {
    if (n) {
     node* m = (node*)ALLOC::allocate(sizeof(node));
     copy_construct(m->elem, n->elem);
     m->left = _copy_aux(n->left);
     m->right = _copy_aux(n->right);
     if (m->left) m->left->father = m;
     if (m->right) m->right->father = m;
     m->balance = n->balance;
     return m;
    }
    else return 0;
   }
# 167 "/home/schultz/c/schultz/structure/avl_tree"
   static const node* _leftmost(const node* n) {
    ;
    while (n->left) n = n->left;
    return n;
   }
   static node* _leftmost(node* n) {
    ;
    while (n->left) n = n->left;
    return n;
   }


   static const node* _rightmost(const node* n) {
    ;
    while (n->right) n = n->right;
    return n;
   }
   static node* _rightmost(node* n) {
    ;
    while (n->right) n = n->right;
    return n;
   }
# 209 "/home/schultz/c/schultz/structure/avl_tree"
   void _rotate_LL(node* b) {
    ;
    node* a = b->left;
    if (b->father) (b->father->left == b ? b->father->left : b->father->right) = a;
    else _root = a;
    a->father = b->father;
    b->left = a->right;
    if (a->right) a->right->father = b;
    b->father = a;
    a->right = b;
    if (a->balance == -1) {
     a->balance = 0;
     b->balance = 0;
    }
    else {
     ;
     a->balance = 1;
     b->balance = -1;
    }
   }


   void _rotate_LR(node* c) {
    ;
    node* a = c->left;
    node* b = a->right;
    if (c->father) (c->father->left == c ? c->father->left : c->father->right) = b;
    else _root = b;
    b->father = c->father;
    a->father = b;
    a->right = b->left;
    if (b->left) b->left->father = a;
    b->left = a;
    c->left = b->right;
    if (b->right) b->right->father = c;
    b->right = c;
    c->father = b;
    a->balance = b->balance == 1 ? -1 : 0;
    c->balance = b->balance == -1 ? 1 : 0;
    b->balance = 0;
   }


   void _rotate_RR(node* a) {
    ;
    node* b = a->right;
    if (a->father) (a->father->left == a ? a->father->left : a->father->right) = b;
    else _root = b;
    b->father = a->father;
    a->right = b->left;
    if (b->left) b->left->father = a;
    a->father = b;
    b->left = a;
    if (b->balance == 1) {
     b->balance = 0;
     a->balance = 0;
    }
    else {
     ;
     b->balance = -1;
     a->balance = 1;
    }
   }


   void _rotate_RL(node* a) {
    ;
    node* c = a->right;
    node* b = c->left;
    if (a->father) (a->father->left == a ? a->father->left : a->father->right) = b;
    else _root = b;
    b->father = a->father;
    c->father = b;
    c->left = b->right;
    if (b->right) b->right->father = c;
    b->right = c;
    a->right = b->left;
    if (b->left) b->left->father = a;
    b->left = a;
    a->father = b;
    a->balance = b->balance == 1 ? -1 : 0;
    c->balance = b->balance == -1 ? 1 : 0;
    b->balance = 0;
   }
# 303 "/home/schultz/c/schultz/structure/avl_tree"
   void _grow_retrace(node* p) {
    ;
    while (p->father) {
     if (p->father->left == p) --p->father->balance;
     else ++p->father->balance;
     p = p->father;

     if (p->balance == 0) break;
     else if (p->balance == -2) {
      ;
      if (p->left->balance != 1) _rotate_LL(p);
      else _rotate_LR(p);
      break;
     }
     else if (p->balance == 2) {
      ;
      if (p->right->balance != -1) _rotate_RR(p);
      else _rotate_RL(p);
      break;
     }
     ;
    }
   }


   void _shrink_retrace(node* p) {
    ;
    while (p->balance != -1 && p->balance != 1) {
     if (p->balance == -2) {
      int b = p->left->balance;
      if (b == 1) {
       _rotate_LR(p);
       p = p->father;
       ;
      }
      else {
       _rotate_LL(p);
       if (b == 0) break;
       p = p->father;
       ;
      }
     }
     else if (p->balance == 2) {
      int b = p->right->balance;
      if (b == -1) {
       _rotate_RL(p);
       p = p->father;
       ;
      }
      else {
       _rotate_RR(p);
       if (b == 0) break;
       p = p->father;
       ;
      }
     }

     if (p->father) {
      if (p->father->left == p) ++p->father->balance;
      else --p->father->balance;
      p = p->father;
     }
     else break;
    }
   }
  public:






   inline bool empty() const {return _root == 0;}







   inline void clear() {
    if (_root) {
     _clear_aux(_root);
     _root = 0;
    }
   }
# 397 "/home/schultz/c/schultz/structure/avl_tree"
   template<typename I> inline void copy(I a, I b) {
    clear();
    _assemble(a, b);
   }







   inline avl_tree<T, ALLOC>& operator =(const avl_tree<T, ALLOC>& A) {
    if (this != &A) {
     clear();
     _root = _copy_aux(A._root);
     if (_root) _root->father = 0;
    }
    return (*this);
   }







   static inline void swap(avl_tree<T, ALLOC>& A, avl_tree<T, ALLOC>& B) {
    schultz::swap(A._root, B._root);
   }
# 439 "/home/schultz/c/schultz/structure/avl_tree"
   struct const_iterator {

    const node* n;


    inline const T& operator *() const {
     ;
     return n->elem;
    }
    inline const T* operator ->() const {
     ;
     return &n->elem;
    }
    inline const T& operator [](nat i) const {
     return *((*this)+i);
    }


    inline bool operator ==(const_iterator i) const {
     return n == i.n;
    }
    inline bool operator !=(const_iterator i) const {
     return !((*this) == i);
    }


    const_iterator& operator ++() {
     ;
     if (n->right) {
      n = n->right;
      while (n->left) n = n->left;
     }
     else {
      while (n->father && n->father->right == n) n = n->father;
      n = n->father;
     }
     return (*this);
    }
    inline const_iterator operator ++(int) {
     const_iterator i = (*this);
     ++(*this);
     return i;
    }
    const_iterator& operator --() {
     ;
     if (n->left) {
      n = n->left;
      while (n->right) n = n->right;
     }
     else {
      while (n->father && n->father->left == n) n = n->father;
      n = n->father;
     }
     return (*this);
    }
    inline const_iterator operator --(int) {
     const_iterator i = (*this);
     --(*this);
     return i;
    }
    inline const_iterator& operator +=(nat n) {
     return advance((*this), n);
    }
    inline const_iterator operator +(nat n) {
     const_iterator i = (*this);
     return i+= n;
    }
    inline const_iterator& operator -=(nat n) {
     return step_back((*this), n);
    }
    inline const_iterator operator -(nat n) {
     const_iterator i = (*this);
     return i-= n;
    }
    inline nat operator -(const_iterator i) {
     return distance(i, (*this));
    }


    inline const_iterator() {}
    explicit inline const_iterator(const node* p) : n(p) {}


    struct iterator_traits : public default_iterator_traits<const_iterator> {
     enum {
      constant = true,
      persistent = true,
      bidirectional = true,
      random_access = false
     };

     typedef T value_type;
    };


    struct type_traits : public iterator_type_traits<const_iterator> {};
   };


   struct iterator {

    node* n;


    inline T& operator *() const {
     ;
     return n->elem;
    }
    inline T* operator ->() const {
     ;
     return &n->elem;
    }
    inline T& operator [](nat i) const {
     return *((*this)+i);
    }


    inline bool operator ==(iterator i) const {
     return n == i.n;
    }
    inline bool operator !=(iterator i) const {
     return !((*this) == i);
    }


    iterator& operator ++() {
     ;
     if (n->right) {
      n = n->right;
      while (n->left) n = n->left;
     }
     else {
      while (n->father && n->father->right == n) n = n->father;
      n = n->father;
     }
     return (*this);
    }
    inline iterator operator ++(int) {
     iterator i = (*this);
     ++(*this);
     return i;
    }
    iterator& operator --() {
     ;
     if (n->left) {
      n = n->left;
      while (n->right) n = n->right;
     }
     else {
      while (n->father && n->father->left == n) n = n->father;
      n = n->father;
     }
     return (*this);
    }
    inline iterator operator --(int) {
     iterator i = (*this);
     --(*this);
     return i;
    }
    inline iterator& operator +=(nat n) {
     return advance((*this), n);
    }
    inline iterator operator +(nat n) {
     iterator i = (*this);
     return i+= n;
    }
    inline iterator& operator -=(nat n) {
     return step_back((*this), n);
    }
    inline iterator operator -(nat n) {
     iterator i = (*this);
     return i-= n;
    }
    inline nat operator -(iterator i) {
     return distance(i, (*this));
    }


    inline iterator() {}
    explicit inline iterator(node* p) : n(p) {}


    struct iterator_traits : public default_iterator_traits<iterator> {
     enum {
      constant = false,
      persistent = true,
      bidirectional = true,
      random_access = false
     };

     typedef T value_type;
    };


    struct type_traits : public iterator_type_traits<iterator> {};
   };
# 643 "/home/schultz/c/schultz/structure/avl_tree"
   inline const_iterator begin() const {return const_iterator(_root ? _leftmost(_root) : 0);}
   inline const_iterator end() const {return const_iterator(0);}
   inline iterator begin() {return iterator(_root ? _leftmost(_root) : 0);}
   inline iterator end() {return iterator(0);}
# 661 "/home/schultz/c/schultz/structure/avl_tree"
   const_iterator find(const T& x) const {
    node* p = _root;
    while (p) {
     if (O()(x, p->elem)) p = p->left;
     else if (O()(p->elem, x)) p = p->right;
     else return const_iterator(p);
    }
    return end();
   }
   iterator find(const T& x) {
    node* p = _root;
    while (p) {
     if (O()(x, p->elem)) p = p->left;
     else if (O()(p->elem, x)) p = p->right;
     else return iterator(p);
    }
    return end();
   }


   inline bool contains(const T& x) const {
    return find(x) != end();
   }
# 692 "/home/schultz/c/schultz/structure/avl_tree"
   iterator insert(const T& x) {
    node* q = 0;
    node* p = _root;
    while (p) {
     q = p;
     if (O()(x, p->elem)) p = p->left;
     else p = p->right;
    }
    p = (node*)ALLOC::allocate(sizeof(node));
    copy_construct(p->elem, x);
    p->father = q;
    p->left = p->right = 0;
    p->balance = 0;
    if (q) {
     if (O()(x, q->elem)) q->left = p;
     else q->right = p;
    }
    else _root = p;
    _grow_retrace(p);
    return iterator(p);
   }







   void remove(iterator iter) {
    node* a = iter.n;
    ;
    node* f = a->father;
    if (a->left == 0 || a->right == 0) {
     node* b = a->left == 0 ? a->right : a->left;
     if (f) {
      if (f->left == a) {
       ++f->balance;
       f->left = b;
      }
      else {
       --f->balance;
       f->right = b;
      }
     }
     else _root = b;
     if (b) b->father = f;
     _alloc::deallocate_1(a);
     if (f) _shrink_retrace(f);
    }
    else {
     ;
     node* p = _rightmost(a->left);
     node* pf = p->father;
     ;
     if (pf->left == p) {
      ++pf->balance;
      pf->left = p->left;
     }
     else {
      --pf->balance;
      pf->right = p->left;
     }
     if (p->left) p->left->father = pf;

     if (f) (f->left == a ? f->left : f->right) = p;
     else _root = p;
     p->father = f;
     p->right = a->right;
     p->left = a->left;
     if (p->left) p->left->father = p;
     if (p->right) p->right->father = p;
     p->balance = a->balance;
     _alloc::deallocate_1(a);

     _shrink_retrace(pf == a ? p : pf);
    }
   }
# 782 "/home/schultz/c/schultz/structure/avl_tree"
   inline avl_tree() : _root(0) {}
   inline avl_tree(const avl_tree<T, ALLOC>& A) {
    _root = _copy_aux(A._root);
    if (_root) _root->father = 0;
   }
   template<typename I> inline avl_tree(I a, I b) : _root(0) {
    _assemble(a, b);
   }







   inline ~avl_tree() {clear();}
# 806 "/home/schultz/c/schultz/structure/avl_tree"
   struct type_traits : public default_type_traits< avl_tree<T> > {
    enum {
     trivial = false,
     special_swap = true
    };
   };
 };
};
# 15 "src/circle" 2

using namespace schultz;

namespace khaos {
# 52 "src/circle"
 struct circle {

  vector2<flop> centre;


  flop radius;


  vector2<flop> velocity;


  flop mass;



  void* next;


  flop proj;


  nat kind;


  bool exists;




  flop time;




  struct {
   nat left, right, bottom, top;
  } voxels;


  struct projcmpf : public binary_function<bool, const circle*, const circle*> {
   inline bool operator ()(const circle* C, const circle* D) const {
    return C->proj < D->proj;
   }
  };


  avl_tree<circle*, projcmpf>::iterator iter;



  inline void copy_projbase(circle& C) {
   centre = C.centre;
   radius = C.radius;
   velocity = C.velocity;

   time = C.time;

  }


  struct type_traits : public default_type_traits<circle> {
   enum {trivial = true};
  };
 };







 inline void move(circle& C, flop dt) {
  ;
  C.centre+= dt*C.velocity;
 }
# 137 "src/circle"
 extern flop proj(const circle&, const circle&);


 extern flop proj(const circle&, vector2<flop>);







 extern void coll(circle&, circle&);
}

# 1 "/home/schultz/c/schultz/language/undef_keywords" 1
# 152 "src/circle" 2
# 2 "src/circle.c++" 2

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



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

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


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


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



# 1 "/usr/include/bits/mathdef.h" 1 3 4
# 36 "/usr/include/bits/mathdef.h" 3 4
typedef long double float_t;

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


extern double acos (double __x) throw (); extern double __acos (double __x) throw ();

extern double asin (double __x) throw (); extern double __asin (double __x) throw ();

extern double atan (double __x) throw (); extern double __atan (double __x) throw ();

extern double atan2 (double __y, double __x) throw (); extern double __atan2 (double __y, double __x) throw ();


extern double cos (double __x) throw (); extern double __cos (double __x) throw ();

extern double sin (double __x) throw (); extern double __sin (double __x) throw ();

extern double tan (double __x) throw (); extern double __tan (double __x) throw ();




extern double cosh (double __x) throw (); extern double __cosh (double __x) throw ();

extern double sinh (double __x) throw (); extern double __sinh (double __x) throw ();

extern double tanh (double __x) throw (); extern double __tanh (double __x) throw ();




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






extern double acosh (double __x) throw (); extern double __acosh (double __x) throw ();

extern double asinh (double __x) throw (); extern double __asinh (double __x) throw ();

extern double atanh (double __x) throw (); extern double __atanh (double __x) throw ();







extern double exp (double __x) throw (); extern double __exp (double __x) throw ();


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


extern double ldexp (double __x, int __exponent) throw (); extern double __ldexp (double __x, int __exponent) throw ();


extern double log (double __x) throw (); extern double __log (double __x) throw ();


extern double log10 (double __x) throw (); extern double __log10 (double __x) throw ();


extern double modf (double __x, double *__iptr) throw (); extern double __modf (double __x, double *__iptr) throw ();




extern double exp10 (double __x) throw (); extern double __exp10 (double __x) throw ();

extern double pow10 (double __x) throw (); extern double __pow10 (double __x) throw ();





extern double expm1 (double __x) throw (); extern double __expm1 (double __x) throw ();


extern double log1p (double __x) throw (); extern double __log1p (double __x) throw ();


extern double logb (double __x) throw (); extern double __logb (double __x) throw ();






extern double exp2 (double __x) throw (); extern double __exp2 (double __x) throw ();


extern double log2 (double __x) throw (); extern double __log2 (double __x) throw ();








extern double pow (double __x, double __y) throw (); extern double __pow (double __x, double __y) throw ();


extern double sqrt (double __x) throw (); extern double __sqrt (double __x) throw ();





extern double hypot (double __x, double __y) throw (); extern double __hypot (double __x, double __y) throw ();






extern double cbrt (double __x) throw (); extern double __cbrt (double __x) throw ();








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


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


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


extern double fmod (double __x, double __y) throw (); extern double __fmod (double __x, double __y) throw ();




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


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





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


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


extern double drem (double __x, double __y) throw (); extern double __drem (double __x, double __y) throw ();



extern double significand (double __x) throw (); extern double __significand (double __x) throw ();





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






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





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



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


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






extern double erf (double) throw (); extern double __erf (double) throw ();
extern double erfc (double) throw (); extern double __erfc (double) throw ();
extern double lgamma (double) throw (); extern double __lgamma (double) throw ();






extern double tgamma (double) throw (); extern double __tgamma (double) throw ();





extern double gamma (double) throw (); extern double __gamma (double) throw ();






extern double lgamma_r (double, int *__signgamp) throw (); extern double __lgamma_r (double, int *__signgamp) throw ();







extern double rint (double __x) throw (); extern double __rint (double __x) throw ();


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

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



extern double remainder (double __x, double __y) throw (); extern double __remainder (double __x, double __y) throw ();



extern double scalbn (double __x, int __n) throw (); extern double __scalbn (double __x, int __n) throw ();



extern int ilogb (double __x) throw (); extern int __ilogb (double __x) throw ();




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



extern double nearbyint (double __x) throw (); extern double __nearbyint (double __x) throw ();



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



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




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






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



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



extern double fdim (double __x, double __y) throw (); extern double __fdim (double __x, double __y) throw ();


extern double fmax (double __x, double __y) throw (); extern double __fmax (double __x, double __y) throw ();


extern double fmin (double __x, double __y) throw (); extern double __fmin (double __x, double __y) throw ();



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


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



extern double fma (double __x, double __y, double __z) throw (); extern double __fma (double __x, double __y, double __z) throw ();








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


extern float acosf (float __x) throw (); extern float __acosf (float __x) throw ();

extern float asinf (float __x) throw (); extern float __asinf (float __x) throw ();

extern float atanf (float __x) throw (); extern float __atanf (float __x) throw ();

extern float atan2f (float __y, float __x) throw (); extern float __atan2f (float __y, float __x) throw ();


extern float cosf (float __x) throw (); extern float __cosf (float __x) throw ();

extern float sinf (float __x) throw (); extern float __sinf (float __x) throw ();

extern float tanf (float __x) throw (); extern float __tanf (float __x) throw ();




extern float coshf (float __x) throw (); extern float __coshf (float __x) throw ();

extern float sinhf (float __x) throw (); extern float __sinhf (float __x) throw ();

extern float tanhf (float __x) throw (); extern float __tanhf (float __x) throw ();




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






extern float acoshf (float __x) throw (); extern float __acoshf (float __x) throw ();

extern float asinhf (float __x) throw (); extern float __asinhf (float __x) throw ();

extern float atanhf (float __x) throw (); extern float __atanhf (float __x) throw ();







extern float expf (float __x) throw (); extern float __expf (float __x) throw ();


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


extern float ldexpf (float __x, int __exponent) throw (); extern float __ldexpf (float __x, int __exponent) throw ();


extern float logf (float __x) throw (); extern float __logf (float __x) throw ();


extern float log10f (float __x) throw (); extern float __log10f (float __x) throw ();


extern float modff (float __x, float *__iptr) throw (); extern float __modff (float __x, float *__iptr) throw ();




extern float exp10f (float __x) throw (); extern float __exp10f (float __x) throw ();

extern float pow10f (float __x) throw (); extern float __pow10f (float __x) throw ();





extern float expm1f (float __x) throw (); extern float __expm1f (float __x) throw ();


extern float log1pf (float __x) throw (); extern float __log1pf (float __x) throw ();


extern float logbf (float __x) throw (); extern float __logbf (float __x) throw ();






extern float exp2f (float __x) throw (); extern float __exp2f (float __x) throw ();


extern float log2f (float __x) throw (); extern float __log2f (float __x) throw ();








extern float powf (float __x, float __y) throw (); extern float __powf (float __x, float __y) throw ();


extern float sqrtf (float __x) throw (); extern float __sqrtf (float __x) throw ();





extern float hypotf (float __x, float __y) throw (); extern float __hypotf (float __x, float __y) throw ();






extern float cbrtf (float __x) throw (); extern float __cbrtf (float __x) throw ();








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


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


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


extern float fmodf (float __x, float __y) throw (); extern float __fmodf (float __x, float __y) throw ();




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


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





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


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


extern float dremf (float __x, float __y) throw (); extern float __dremf (float __x, float __y) throw ();



extern float significandf (float __x) throw (); extern float __significandf (float __x) throw ();





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






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





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



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


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






extern float erff (float) throw (); extern float __erff (float) throw ();
extern float erfcf (float) throw (); extern float __erfcf (float) throw ();
extern float lgammaf (float) throw (); extern float __lgammaf (float) throw ();






extern float tgammaf (float) throw (); extern float __tgammaf (float) throw ();





extern float gammaf (float) throw (); extern float __gammaf (float) throw ();






extern float lgammaf_r (float, int *__signgamp) throw (); extern float __lgammaf_r (float, int *__signgamp) throw ();







extern float rintf (float __x) throw (); extern float __rintf (float __x) throw ();


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

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



extern float remainderf (float __x, float __y) throw (); extern float __remainderf (float __x, float __y) throw ();



extern float scalbnf (float __x, int __n) throw (); extern float __scalbnf (float __x, int __n) throw ();



extern int ilogbf (float __x) throw (); extern int __ilogbf (float __x) throw ();




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



extern float nearbyintf (float __x) throw (); extern float __nearbyintf (float __x) throw ();



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



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




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






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



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



extern float fdimf (float __x, float __y) throw (); extern float __fdimf (float __x, float __y) throw ();


extern float fmaxf (float __x, float __y) throw (); extern float __fmaxf (float __x, float __y) throw ();


extern float fminf (float __x, float __y) throw (); extern float __fminf (float __x, float __y) throw ();



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


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



extern float fmaf (float __x, float __y, float __z) throw (); extern float __fmaf (float __x, float __y, float __z) throw ();








extern float scalbf (float __x, float __n) throw (); extern float __scalbf (float __x, float __n) throw ();
# 95 "/usr/include/math.h" 2 3 4
# 141 "/usr/include/math.h" 3 4
# 1 "/usr/include/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/bits/mathcalls.h" 3 4


extern long double acosl (long double __x) throw (); extern long double __acosl (long double __x) throw ();

extern long double asinl (long double __x) throw (); extern long double __asinl (long double __x) throw ();

extern long double atanl (long double __x) throw (); extern long double __atanl (long double __x) throw ();

extern long double atan2l (long double __y, long double __x) throw (); extern long double __atan2l (long double __y, long double __x) throw ();


extern long double cosl (long double __x) throw (); extern long double __cosl (long double __x) throw ();

extern long double sinl (long double __x) throw (); extern long double __sinl (long double __x) throw ();

extern long double tanl (long double __x) throw (); extern long double __tanl (long double __x) throw ();




extern long double coshl (long double __x) throw (); extern long double __coshl (long double __x) throw ();

extern long double sinhl (long double __x) throw (); extern long double __sinhl (long double __x) throw ();

extern long double tanhl (long double __x) throw (); extern long double __tanhl (long double __x) throw ();




extern void sincosl (long double __x, long double *__sinx, long double *__cosx) throw (); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) throw ();






extern long double acoshl (long double __x) throw (); extern long double __acoshl (long double __x) throw ();

extern long double asinhl (long double __x) throw (); extern long double __asinhl (long double __x) throw ();

extern long double atanhl (long double __x) throw (); extern long double __atanhl (long double __x) throw ();







extern long double expl (long double __x) throw (); extern long double __expl (long double __x) throw ();


extern long double frexpl (long double __x, int *__exponent) throw (); extern long double __frexpl (long double __x, int *__exponent) throw ();


extern long double ldexpl (long double __x, int __exponent) throw (); extern long double __ldexpl (long double __x, int __exponent) throw ();


extern long double logl (long double __x) throw (); extern long double __logl (long double __x) throw ();


extern long double log10l (long double __x) throw (); extern long double __log10l (long double __x) throw ();


extern long double modfl (long double __x, long double *__iptr) throw (); extern long double __modfl (long double __x, long double *__iptr) throw ();




extern long double exp10l (long double __x) throw (); extern long double __exp10l (long double __x) throw ();

extern long double pow10l (long double __x) throw (); extern long double __pow10l (long double __x) throw ();





extern long double expm1l (long double __x) throw (); extern long double __expm1l (long double __x) throw ();


extern long double log1pl (long double __x) throw (); extern long double __log1pl (long double __x) throw ();


extern long double logbl (long double __x) throw (); extern long double __logbl (long double __x) throw ();






extern long double exp2l (long double __x) throw (); extern long double __exp2l (long double __x) throw ();


extern long double log2l (long double __x) throw (); extern long double __log2l (long double __x) throw ();








extern long double powl (long double __x, long double __y) throw (); extern long double __powl (long double __x, long double __y) throw ();


extern long double sqrtl (long double __x) throw (); extern long double __sqrtl (long double __x) throw ();





extern long double hypotl (long double __x, long double __y) throw (); extern long double __hypotl (long double __x, long double __y) throw ();






extern long double cbrtl (long double __x) throw (); extern long double __cbrtl (long double __x) throw ();








extern long double ceill (long double __x) throw () __attribute__ ((__const__)); extern long double __ceill (long double __x) throw () __attribute__ ((__const__));


extern long double fabsl (long double __x) throw () __attribute__ ((__const__)); extern long double __fabsl (long double __x) throw () __attribute__ ((__const__));


extern long double floorl (long double __x) throw () __attribute__ ((__const__)); extern long double __floorl (long double __x) throw () __attribute__ ((__const__));


extern long double fmodl (long double __x, long double __y) throw (); extern long double __fmodl (long double __x, long double __y) throw ();




extern int __isinfl (long double __value) throw () __attribute__ ((__const__));


extern int __finitel (long double __value) throw () __attribute__ ((__const__));





extern int isinfl (long double __value) throw () __attribute__ ((__const__));


extern int finitel (long double __value) throw () __attribute__ ((__const__));


extern long double dreml (long double __x, long double __y) throw (); extern long double __dreml (long double __x, long double __y) throw ();



extern long double significandl (long double __x) throw (); extern long double __significandl (long double __x) throw ();





extern long double copysignl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __copysignl (long double __x, long double __y) throw () __attribute__ ((__const__));






extern long double nanl (__const char *__tagb) throw () __attribute__ ((__const__)); extern long double __nanl (__const char *__tagb) throw () __attribute__ ((__const__));





extern int __isnanl (long double __value) throw () __attribute__ ((__const__));



extern int isnanl (long double __value) throw () __attribute__ ((__const__));


extern long double j0l (long double) throw (); extern long double __j0l (long double) throw ();
extern long double j1l (long double) throw (); extern long double __j1l (long double) throw ();
extern long double jnl (int, long double) throw (); extern long double __jnl (int, long double) throw ();
extern long double y0l (long double) throw (); extern long double __y0l (long double) throw ();
extern long double y1l (long double) throw (); extern long double __y1l (long double) throw ();
extern long double ynl (int, long double) throw (); extern long double __ynl (int, long double) throw ();






extern long double erfl (long double) throw (); extern long double __erfl (long double) throw ();
extern long double erfcl (long double) throw (); extern long double __erfcl (long double) throw ();
extern long double lgammal (long double) throw (); extern long double __lgammal (long double) throw ();






extern long double tgammal (long double) throw (); extern long double __tgammal (long double) throw ();





extern long double gammal (long double) throw (); extern long double __gammal (long double) throw ();






extern long double lgammal_r (long double, int *__signgamp) throw (); extern long double __lgammal_r (long double, int *__signgamp) throw ();







extern long double rintl (long double __x) throw (); extern long double __rintl (long double __x) throw ();


extern long double nextafterl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __nextafterl (long double __x, long double __y) throw () __attribute__ ((__const__));

extern long double nexttowardl (long double __x, long double __y) throw () __attribute__ ((__const__)); extern long double __nexttowardl (long double __x, long double __y) throw () __attribute__ ((__const__));



extern long double remainderl (long double __x, long double __y) throw (); extern long double __remainderl (long double __x, long double __y) throw ();



extern long double scalbnl (long double __x, int __n) throw (); extern long double __scalbnl (long double __x, int __n) throw ();



extern int ilogbl (long double __x) throw (); extern int __ilogbl (long double __x) throw ();




extern long double scalblnl (long double __x, long int __n) throw (); extern long double __scalblnl (long double __x, long int __n) throw ();



extern long double nearbyintl (long double __x) throw (); extern long double __nearbyintl (long double __x) throw ();



extern long double roundl (long double __x) throw () __attribute__ ((__const__)); extern long double __roundl (long double __x) throw () __attribute__ ((__const__));



extern long double truncl (long double __x) throw () __attribute__ ((__const__)); extern long double __truncl (long double __x) throw () __attribute__ ((__const__));




extern long double remquol (long double __x, long double __y, int *__quo) throw (); extern long double __remquol (long double __x, long double __y, int *__quo) throw ();






extern long int lrintl (long double __x) throw (); extern long int __lrintl (long double __x) throw ();
extern long long int llrintl (long double __x) throw (); extern long long int __llrintl (long double __x) throw ();



extern long int lroundl (long double __x) throw (); extern long int __lroundl (long double __x) throw ();
extern long long int llroundl (long double __x) throw (); extern long long int __llroundl (long double __x) throw ();



extern long double fdiml (long double __x, long double __y) throw (); extern long double __fdiml (long double __x, long double __y) throw ();


extern long double fmaxl (long double __x, long double __y) throw (); extern long double __fmaxl (long double __x, long double __y) throw ();


extern long double fminl (long double __x, long double __y) throw (); extern long double __fminl (long double __x, long double __y) throw ();



extern int __fpclassifyl (long double __value) throw ()
     __attribute__ ((__const__));


extern int __signbitl (long double __value) throw ()
     __attribute__ ((__const__));



extern long double fmal (long double __x, long double __y, long double __z) throw (); extern long double __fmal (long double __x, long double __y, long double __z) throw ();








extern long double scalbl (long double __x, long double __n) throw (); extern long double __scalbl (long double __x, long double __n) throw ();
# 142 "/usr/include/math.h" 2 3 4
# 157 "/usr/include/math.h" 3 4
extern int signgam;
# 198 "/usr/include/math.h" 3 4
enum
  {
    FP_NAN,

    FP_INFINITE,

    FP_ZERO,

    FP_SUBNORMAL,

    FP_NORMAL

  };
# 284 "/usr/include/math.h" 3 4
typedef enum
{
  _IEEE_ = -1,
  _SVID_,
  _XOPEN_,
  _POSIX_,
  _ISOC_
} _LIB_VERSION_TYPE;




extern _LIB_VERSION_TYPE _LIB_VERSION;
# 307 "/usr/include/math.h" 3 4
struct __exception



  {
    int type;
    char *name;
    double arg1;
    double arg2;
    double retval;
  };


extern int matherr (struct __exception *__exc) throw ();
# 409 "/usr/include/math.h" 3 4
# 1 "/usr/include/bits/mathinline.h" 1 3 4
# 127 "/usr/include/bits/mathinline.h" 3 4
__inline int
__signbitf (float __x) throw ()
{
  __extension__ union { float __f; int __i; } __u = { __f: __x };
  return __u.__i < 0;
}
__inline int
__signbit (double __x) throw ()
{
  __extension__ union { double __d; int __i[2]; } __u = { __d: __x };
  return __u.__i[1] < 0;
}
__inline int
__signbitl (long double __x) throw ()
{
  __extension__ union { long double __l; int __i[3]; } __u = { __l: __x };
  return (__u.__i[2] & 0x8000) != 0;
}
# 291 "/usr/include/bits/mathinline.h" 3 4
__inline double __sgn (double) throw (); __inline double __sgn (double __x) throw () { return __x == 0.0 ? 0.0 : (__x > 0.0 ? 1.0 : -1.0); } __inline float __sgnf (float) throw (); __inline float __sgnf (float __x) throw () { return __x == 0.0 ? 0.0 : (__x > 0.0 ? 1.0 : -1.0); } __inline long double __sgnl (long double) throw (); __inline long double __sgnl (long double __x) throw () { return __x == 0.0 ? 0.0 : (__x > 0.0 ? 1.0 : -1.0); }
# 433 "/usr/include/bits/mathinline.h" 3 4
__inline long double __atan2l (long double __y, long double __x) throw () { return __builtin_atan2l (__y, __x); }
# 473 "/usr/include/bits/mathinline.h" 3 4
__inline double fabs (double __x) throw () { return __builtin_fabs (__x); }

__inline float fabsf (float __x) throw () { return __builtin_fabsf (__x); }
__inline long double fabsl (long double __x) throw () { return __builtin_fabsl (__x); }

__inline long double __fabsl (long double __x) throw () { return __builtin_fabsl (__x); }
# 506 "/usr/include/bits/mathinline.h" 3 4
__inline long double __sgn1l (long double) throw (); __inline long double __sgn1l (long double __x) throw () { __extension__ union { long double __xld; unsigned int __xi[3]; } __n = { __xld: __x }; __n.__xi[2] = (__n.__xi[2] & 0x8000) | 0x3fff; __n.__xi[1] = 0x80000000; __n.__xi[0] = 0; return __n.__xld; }
# 530 "/usr/include/bits/mathinline.h" 3 4
__inline double floor (double __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0400, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; } __inline float floorf (float __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0400, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; } __inline long double floorl (long double __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0400, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; }
# 548 "/usr/include/bits/mathinline.h" 3 4
__inline double ceil (double __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0800, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; } __inline float ceilf (float __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0800, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; } __inline long double ceill (long double __x) throw () { register long double __value; register int __ignore; unsigned short int __cw; unsigned short int __cwtmp; __asm __volatile ("fnstcw %3\n\t" "movzwl %3, %1\n\t" "andl $0xf3ff, %1\n\t" "orl $0x0800, %1\n\t" "movw %w1, %2\n\t" "fldcw %2\n\t" "frndint\n\t" "fldcw %3" : "=t" (__value), "=&q" (__ignore), "=m" (__cwtmp), "=m" (__cw) : "0" (__x)); return __value; }
# 667 "/usr/include/bits/mathinline.h" 3 4
__inline long int
lrintf (float __x) throw ()
{
  long int __lrintres; __asm__ __volatile__ ("fistpl %0" : "=m" (__lrintres) : "t" (__x) : "st"); return __lrintres;
}
__inline long int
lrint (double __x) throw ()
{
  long int __lrintres; __asm__ __volatile__ ("fistpl %0" : "=m" (__lrintres) : "t" (__x) : "st"); return __lrintres;
}
__inline long int
lrintl (long double __x) throw ()
{
  long int __lrintres; __asm__ __volatile__ ("fistpl %0" : "=m" (__lrintres) : "t" (__x) : "st"); return __lrintres;
}
# 690 "/usr/include/bits/mathinline.h" 3 4
__inline long long int
llrintf (float __x) throw ()
{
  long long int __llrintres; __asm__ __volatile__ ("fistpll %0" : "=m" (__llrintres) : "t" (__x) : "st"); return __llrintres;
}
__inline long long int
llrint (double __x) throw ()
{
  long long int __llrintres; __asm__ __volatile__ ("fistpll %0" : "=m" (__llrintres) : "t" (__x) : "st"); return __llrintres;
}
__inline long long int
llrintl (long double __x) throw ()
{
  long long int __llrintres; __asm__ __volatile__ ("fistpll %0" : "=m" (__llrintres) : "t" (__x) : "st"); return __llrintres;
}
# 727 "/usr/include/bits/mathinline.h" 3 4
__inline int
__finite (double __x) throw ()
{
  return (__extension__
   (((((union { double __d; int __i[2]; }) {__d: __x}).__i[1]
      | 0x800fffffu) + 1) >> 31));
}
# 410 "/usr/include/math.h" 2 3 4
# 465 "/usr/include/math.h" 3 4
}
# 4 "src/circle.c++" 2

# 1 "/home/schultz/c/schultz/language/keywords" 1
# 6 "src/circle.c++" 2

namespace khaos {





 flop proj(const circle& C, const circle& D) {
  vector2<flop> dc = D.centre - C.centre;
  vector2<flop> dv = D.velocity - C.velocity;
  flop c = square(dv);
  if (c != 0) {
   flop a = square(dc) - square(C.radius + D.radius);
   flop b = flop(2)*dc*dv;
   flop d = square(b) - 4*a*c;
   if (d > 0) {
    d = sqrt(d);
    flop t0 = (-b-d)/(2*c), t1 = (-b+d)/(2*c);
    if ((t0 >= 0 && t1 >= 0) && (t0 > 0 || t1 > 0)) {
     flop t = min(t0, t1);
     ;
     return t;
    }
   }
  }
  return (__builtin_inff());
 }


 flop proj(const circle& C, vector2<flop> P) {
  vector2<flop> dc = P - C.centre;
  flop c = square(C.velocity);
  if (c != 0) {
   flop a = square(dc) - square(C.radius);
   flop b = -flop(2)*dc*C.velocity;
   flop d = square(b)-4*a*c;
   if (d > 0) {
    d = sqrt(d);
    flop t0 = (-b-d)/(2*c), t1 = (-b+d)/(2*c);
    if ((t0 >= 0 && t1 >= 0) && (t0 > 0 || t1 > 0)) {
     flop t = min(t0, t1);
     ;
     return t;
    }
   }
  }
  return (__builtin_inff());
 }





 void coll(circle& C, circle& D) {
  vector2<flop> dc = D.centre - C.centre;
  vector2<flop> dv = D.velocity - C.velocity;
  flop w = flop(2)*dc*dv/(square(dc)*(C.mass + D.mass));

  C.velocity+= dc * D.mass * w;
  D.velocity-= dc * C.mass * w;
 }
}