# 0 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
# 1 "/tmp/tmpl_i20ey9/double-conversion/build//"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 0 "<command-line>" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
# 28 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
# 1 "/usr/include/c++/13/climits" 1 3
# 39 "/usr/include/c++/13/climits" 3
       
# 40 "/usr/include/c++/13/climits" 3

# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 1 3
# 306 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3

# 306 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;


#pragma GCC visibility push(default)


  extern "C++" __attribute__ ((__noreturn__, __always_inline__))
  inline void __terminate() noexcept
  {
    void terminate() noexcept __attribute__ ((__noreturn__));
    terminate();
  }
#pragma GCC visibility pop
}
# 339 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 532 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
namespace std
{
#pragma GCC visibility push(default)




  constexpr inline bool
  __is_constant_evaluated() noexcept
  {





    return __builtin_is_constant_evaluated();



  }
#pragma GCC visibility pop
}
# 679 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 1 3
# 39 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 3
# 1 "/usr/include/features.h" 1 3 4
# 394 "/usr/include/features.h" 3 4
# 1 "/usr/include/features-time64.h" 1 3 4
# 20 "/usr/include/features-time64.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 21 "/usr/include/features-time64.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/timesize.h" 1 3 4
# 22 "/usr/include/features-time64.h" 2 3 4
# 395 "/usr/include/features.h" 2 3 4
# 502 "/usr/include/features.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 1 3 4
# 576 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 577 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 578 "/usr/include/aarch64-linux-gnu/sys/cdefs.h" 2 3 4
# 503 "/usr/include/features.h" 2 3 4
# 526 "/usr/include/features.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 1 3 4




# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 6 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/gnu/stubs-lp64.h" 1 3 4
# 9 "/usr/include/aarch64-linux-gnu/gnu/stubs.h" 2 3 4
# 527 "/usr/include/features.h" 2 3 4
# 40 "/usr/include/aarch64-linux-gnu/c++/13/bits/os_defines.h" 2 3
# 680 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3


# 1 "/usr/include/aarch64-linux-gnu/c++/13/bits/cpu_defines.h" 1 3
# 683 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3
# 882 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 3
# 1 "/usr/include/c++/13/pstl/pstl_config.h" 1 3
# 883 "/usr/include/aarch64-linux-gnu/c++/13/bits/c++config.h" 2 3
# 42 "/usr/include/c++/13/climits" 2 3
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 1 3 4
# 34 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/syslimits.h" 1 3 4






# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 1 3 4
# 205 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 3 4
# 1 "/usr/include/limits.h" 1 3 4
# 26 "/usr/include/limits.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/limits.h" 2 3 4
# 195 "/usr/include/limits.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 161 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 1 3 4
# 38 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/linux/limits.h" 1 3 4
# 39 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 2 3 4
# 81 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/pthread_stack_min-dynamic.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/pthread_stack_min-dynamic.h" 3 4
extern "C" {
extern long int __sysconf (int __name) noexcept (true);
}
# 82 "/usr/include/aarch64-linux-gnu/bits/local_lim.h" 2 3 4
# 162 "/usr/include/aarch64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 196 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/posix2_lim.h" 1 3 4
# 200 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 1 3 4
# 64 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/uio_lim.h" 1 3 4
# 65 "/usr/include/aarch64-linux-gnu/bits/xopen_lim.h" 2 3 4
# 204 "/usr/include/limits.h" 2 3 4
# 206 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 2 3 4
# 8 "/usr/lib/gcc/aarch64-linux-gnu/13/include/syslimits.h" 2 3 4
# 35 "/usr/lib/gcc/aarch64-linux-gnu/13/include/limits.h" 2 3 4
# 43 "/usr/include/c++/13/climits" 2 3
# 29 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2
# 1 "/usr/include/c++/13/cstdarg" 1 3
# 39 "/usr/include/c++/13/cstdarg" 3
       
# 40 "/usr/include/c++/13/cstdarg" 3



# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 1 3 4
# 40 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 103 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdarg.h" 3 4
typedef __gnuc_va_list va_list;
# 44 "/usr/include/c++/13/cstdarg" 2 3
# 53 "/usr/include/c++/13/cstdarg" 3
namespace std
{
  using ::va_list;
}
# 30 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2

# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/bignum.h" 1
# 31 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/bignum.h"
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 1
# 34 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/include/c++/13/cstdlib" 1 3
# 39 "/usr/include/c++/13/cstdlib" 3
       
# 40 "/usr/include/c++/13/cstdlib" 3
# 79 "/usr/include/c++/13/cstdlib" 3
# 1 "/usr/include/stdlib.h" 1 3 4
# 26 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdlib.h" 2 3 4





# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 214 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 33 "/usr/include/stdlib.h" 2 3 4

extern "C" {





# 1 "/usr/include/aarch64-linux-gnu/bits/waitflags.h" 1 3 4
# 41 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/waitstatus.h" 1 3 4
# 42 "/usr/include/stdlib.h" 2 3 4
# 56 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 2 3 4
# 95 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/floatn-common.h" 2 3 4
# 96 "/usr/include/aarch64-linux-gnu/bits/floatn.h" 2 3 4
# 57 "/usr/include/stdlib.h" 2 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;
# 98 "/usr/include/stdlib.h" 3 4
extern size_t __ctype_get_mb_cur_max (void) noexcept (true) ;



extern double atof (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern int atoi (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern long int atol (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



__extension__ extern long long int atoll (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



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



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 141 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 177 "/usr/include/stdlib.h" 3 4
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

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




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

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






extern long int strtol (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtol")


     __attribute__ ((__nonnull__ (1)));
extern unsigned long int strtoul (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoul")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoll (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));
# 278 "/usr/include/stdlib.h" 3 4
extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 298 "/usr/include/stdlib.h" 3 4
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 338 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 1 3 4
# 22 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/__locale_t.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/types/__locale_t.h" 3 4
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];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/include/aarch64-linux-gnu/bits/types/locale_t.h" 2 3 4

typedef __locale_t locale_t;
# 339 "/usr/include/stdlib.h" 2 3 4

extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));





extern long int strtol_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtol_l")



     __attribute__ ((__nonnull__ (1, 4)));
extern unsigned long int strtoul_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoul_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern long long int strtoll_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoll_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoull_l")




     __attribute__ ((__nonnull__ (1, 4)));
# 415 "/usr/include/stdlib.h" 3 4
extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 436 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 505 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) noexcept (true) ;


extern long int a64l (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;




# 1 "/usr/include/aarch64-linux-gnu/sys/types.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/sys/types.h" 3 4
extern "C" {

# 1 "/usr/include/aarch64-linux-gnu/bits/types.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/timesize.h" 1 3 4
# 29 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4


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


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

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






typedef __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/include/aarch64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/typesizes.h" 1 3 4
# 142 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/time64.h" 1 3 4
# 143 "/usr/include/aarch64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 30 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4



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


typedef __loff_t loff_t;




typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;




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;




# 1 "/usr/include/aarch64-linux-gnu/bits/types/clock_t.h" 1 3 4






typedef __clock_t clock_t;
# 127 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/types/clockid_t.h" 1 3 4






typedef __clockid_t clockid_t;
# 129 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/time_t.h" 1 3 4
# 10 "/usr/include/aarch64-linux-gnu/bits/types/time_t.h" 3 4
typedef __time_t time_t;
# 130 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/types/timer_t.h" 1 3 4






typedef __timer_t timer_t;
# 131 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 145 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;




# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-intn.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/stdint-intn.h" 3 4
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 156 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


typedef __uint8_t u_int8_t;
typedef __uint16_t u_int16_t;
typedef __uint32_t u_int32_t;
typedef __uint64_t u_int64_t;


typedef int register_t __attribute__ ((__mode__ (__word__)));
# 176 "/usr/include/aarch64-linux-gnu/sys/types.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 24 "/usr/include/endian.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/endian.h" 1 3 4
# 35 "/usr/include/aarch64-linux-gnu/bits/endian.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/endianness.h" 1 3 4
# 36 "/usr/include/aarch64-linux-gnu/bits/endian.h" 2 3 4
# 25 "/usr/include/endian.h" 2 3 4
# 35 "/usr/include/endian.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 1 3 4
# 33 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 3 4
static __inline __uint16_t
__bswap_16 (__uint16_t __bsx)
{

  return __builtin_bswap16 (__bsx);



}






static __inline __uint32_t
__bswap_32 (__uint32_t __bsx)
{

  return __builtin_bswap32 (__bsx);



}
# 69 "/usr/include/aarch64-linux-gnu/bits/byteswap.h" 3 4
__extension__ static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{

  return __builtin_bswap64 (__bsx);



}
# 36 "/usr/include/endian.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/uintn-identity.h" 1 3 4
# 32 "/usr/include/aarch64-linux-gnu/bits/uintn-identity.h" 3 4
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 37 "/usr/include/endian.h" 2 3 4
# 177 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/sys/select.h" 1 3 4
# 30 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/select.h" 1 3 4
# 31 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4


# 1 "/usr/include/aarch64-linux-gnu/bits/types/sigset_t.h" 1 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/types/__sigset_t.h" 1 3 4




typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/include/aarch64-linux-gnu/bits/types/sigset_t.h" 2 3 4


typedef __sigset_t sigset_t;
# 34 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_timeval.h" 1 3 4







struct timeval
{




  __time_t tv_sec;
  __suseconds_t tv_usec;

};
# 38 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 1 3 4
# 11 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 3 4
struct timespec
{



  __time_t tv_sec;




  __syscall_slong_t tv_nsec;
# 31 "/usr/include/aarch64-linux-gnu/bits/types/struct_timespec.h" 3 4
};
# 40 "/usr/include/aarch64-linux-gnu/sys/select.h" 2 3 4
# 49 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
typedef long int __fd_mask;
# 59 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
typedef struct
  {



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





  } fd_set;






typedef __fd_mask fd_mask;
# 91 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
extern "C" {
# 102 "/usr/include/aarch64-linux-gnu/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);
# 127 "/usr/include/aarch64-linux-gnu/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);
# 153 "/usr/include/aarch64-linux-gnu/sys/select.h" 3 4
}
# 180 "/usr/include/aarch64-linux-gnu/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;
# 219 "/usr/include/aarch64-linux-gnu/sys/types.h" 3 4
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;





# 1 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 1 3 4
# 44 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
# 45 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/atomic_wide_counter.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/atomic_wide_counter.h" 3 4
typedef union
{
  __extension__ unsigned long long int __value64;
  struct
  {
    unsigned int __low;
    unsigned int __high;
  } __value32;
} __atomic_wide_counter;
# 47 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;

typedef struct __pthread_internal_slist
{
  struct __pthread_internal_slist *__next;
} __pthread_slist_t;
# 76 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 1 3 4
# 27 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
struct __pthread_mutex_s
{
  int __lock ;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;
# 58 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
  int __kind;




  int __spins;
  __pthread_list_t __list;
# 74 "/usr/include/aarch64-linux-gnu/bits/struct_mutex.h" 3 4
};
# 77 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4
# 89 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/struct_rwlock.h" 1 3 4
# 23 "/usr/include/aarch64-linux-gnu/bits/struct_rwlock.h" 3 4
struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;
  int __cur_writer;
  int __shared;
  unsigned long int __pad1;
  unsigned long int __pad2;
  unsigned int __flags;
};
# 90 "/usr/include/aarch64-linux-gnu/bits/thread-shared-types.h" 2 3 4




struct __pthread_cond_s
{
  __atomic_wide_counter __wseq;
  __atomic_wide_counter __g1_start;
  unsigned int __g_refs[2] ;
  unsigned int __g_size[2];
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
};

typedef unsigned int __tss_t;
typedef unsigned long int __thrd_t;

typedef struct
{
  int __data ;
} __once_flag;
# 24 "/usr/include/aarch64-linux-gnu/bits/pthreadtypes.h" 2 3 4



typedef unsigned long int pthread_t;




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




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



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[64];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;




typedef union
{
  struct __pthread_mutex_s __data;
  char __size[48];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;

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





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[8];
  int __align;
} pthread_barrierattr_t;
# 228 "/usr/include/aarch64-linux-gnu/sys/types.h" 2 3 4


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






extern long int random (void) noexcept (true);


extern void srandom (unsigned int __seed) noexcept (true);





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



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

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

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

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





extern int rand (void) noexcept (true);

extern void srand (unsigned int __seed) noexcept (true);



extern int rand_r (unsigned int *__seed) noexcept (true);







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


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


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


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





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

  };


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


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


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


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

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

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


extern __uint32_t arc4random (void)
     noexcept (true) ;


extern void arc4random_buf (void *__buf, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern __uint32_t arc4random_uniform (__uint32_t __upper_bound)
     noexcept (true) ;




extern void *malloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;

extern void *calloc (size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (1, 2))) ;






extern void *realloc (void *__ptr, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__alloc_size__ (2)));


extern void free (void *__ptr) noexcept (true);







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__))
     __attribute__ ((__alloc_size__ (2, 3)))
    __attribute__ ((__malloc__ (__builtin_free, 1)));


extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__ (reallocarray, 1)));



# 1 "/usr/include/alloca.h" 1 3 4
# 24 "/usr/include/alloca.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) noexcept (true);





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





extern void *valloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;




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




extern void *aligned_alloc (size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_align__ (1)))
     __attribute__ ((__alloc_size__ (2))) ;



extern void abort (void) noexcept (true) __attribute__ ((__noreturn__));



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




extern "C++" int at_quick_exit (void (*__func) (void))
     noexcept (true) __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 749 "/usr/include/stdlib.h" 3 4
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     noexcept (true) __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void quick_exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void _Exit (int __status) noexcept (true) __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1))) ;




extern char *secure_getenv (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) ;






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





extern int setenv (const char *__name, const char *__value, int __replace)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) noexcept (true);
# 814 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 827 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 837 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 849 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 859 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 870 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 881 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 891 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 901 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 913 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 923 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;





extern char *canonicalize_file_name (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__malloc__))
     __attribute__ ((__malloc__ (__builtin_free, 1))) ;
# 940 "/usr/include/stdlib.h" 3 4
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) noexcept (true) ;






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


typedef __compar_fn_t comparison_fn_t;



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




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







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

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




extern int abs (int __x) noexcept (true) __attribute__ ((__const__)) ;
extern long int labs (long int __x) noexcept (true) __attribute__ ((__const__)) ;


__extension__ extern long long int llabs (long long int __x)
     noexcept (true) __attribute__ ((__const__)) ;






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


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     noexcept (true) __attribute__ ((__const__)) ;
# 1012 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;




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




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




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




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





extern int mblen (const char *__s, size_t __n) noexcept (true);


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) noexcept (true);


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



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) noexcept (true)
    __attribute__ ((__access__ (__read_only__, 2)));

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1, 3)))
  __attribute__ ((__access__ (__read_only__, 2)));






extern int rpmatch (const char *__response) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 1099 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2, 3))) ;







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) noexcept (true);



extern int unlockpt (int __fd) noexcept (true);




extern char *ptsname (int __fd) noexcept (true) ;






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1155 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 1156 "/usr/include/stdlib.h" 2 3 4
# 1167 "/usr/include/stdlib.h" 3 4
}
# 80 "/usr/include/c++/13/cstdlib" 2 3

# 1 "/usr/include/c++/13/bits/std_abs.h" 1 3
# 33 "/usr/include/c++/13/bits/std_abs.h" 3
       
# 34 "/usr/include/c++/13/bits/std_abs.h" 3
# 46 "/usr/include/c++/13/bits/std_abs.h" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }
# 70 "/usr/include/c++/13/bits/std_abs.h" 3
  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }



  __extension__ inline constexpr __int128
  abs(__int128 __x) { return __x >= 0 ? __x : -__x; }
# 150 "/usr/include/c++/13/bits/std_abs.h" 3

}
}
# 82 "/usr/include/c++/13/cstdlib" 2 3
# 125 "/usr/include/c++/13/cstdlib" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;

  using ::aligned_alloc;

  using ::atexit;


  using ::at_quick_exit;


  using ::atof;
  using ::atoi;
  using ::atol;
  using ::bsearch;
  using ::calloc;
  using ::div;
  using ::exit;
  using ::free;
  using ::getenv;
  using ::labs;
  using ::ldiv;
  using ::malloc;

  using ::mblen;
  using ::mbstowcs;
  using ::mbtowc;

  using ::qsort;


  using ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



  inline ldiv_t
  div(long __i, long __j) noexcept { return ldiv(__i, __j); }




}
# 199 "/usr/include/c++/13/cstdlib" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  using ::lldiv_t;





  using ::_Exit;



  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
# 231 "/usr/include/c++/13/cstdlib" 3
  using ::atoll;
  using ::strtoll;
  using ::strtoull;

  using ::strtof;
  using ::strtold;


}

namespace std
{

  using ::__gnu_cxx::lldiv_t;

  using ::__gnu_cxx::_Exit;

  using ::__gnu_cxx::llabs;
  using ::__gnu_cxx::div;
  using ::__gnu_cxx::lldiv;

  using ::__gnu_cxx::atoll;
  using ::__gnu_cxx::strtof;
  using ::__gnu_cxx::strtoll;
  using ::__gnu_cxx::strtoull;
  using ::__gnu_cxx::strtold;
}



}
# 35 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 1 "/usr/include/c++/13/cstring" 1 3
# 39 "/usr/include/c++/13/cstring" 3
       
# 40 "/usr/include/c++/13/cstring" 3


# 1 "/usr/include/string.h" 1 3 4
# 26 "/usr/include/string.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/string.h" 2 3 4

extern "C" {




# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 34 "/usr/include/string.h" 2 3 4
# 43 "/usr/include/string.h" 3 4
extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, const void *__src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 4)));




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


extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 80 "/usr/include/string.h" 3 4
extern int __memcmpeq (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern "C++"
{
extern void *memchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const void *memchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 105 "/usr/include/string.h" 3 4
}
# 115 "/usr/include/string.h" 3 4
extern "C++" void *rawmemchr (void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *rawmemchr (const void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));







extern "C++" void *memrchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
extern "C++" const void *memrchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
# 141 "/usr/include/string.h" 3 4
extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 1, 3)));






extern int strcoll_l (const char *__s1, const char *__s2, locale_t __l)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));


extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    locale_t __l) noexcept (true) __attribute__ ((__nonnull__ (2, 4)))
     __attribute__ ((__access__ (__write_only__, 1, 3)));





extern char *strdup (const char *__s)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (const char *__string, size_t __n)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
# 224 "/usr/include/string.h" 3 4
extern "C++"
{
extern char *strchr (char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strchr (const char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 244 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strrchr (char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strrchr (const char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 271 "/usr/include/string.h" 3 4
}
# 281 "/usr/include/string.h" 3 4
extern "C++" char *strchrnul (char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const char *strchrnul (const char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 293 "/usr/include/string.h" 3 4
extern size_t strcspn (const char *__s, const char *__reject)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (const char *__s, const char *__accept)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern "C++"
{
extern char *strpbrk (char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strpbrk (const char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 321 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strstr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strstr (const char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 348 "/usr/include/string.h" 3 4
}







extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));





extern "C++" char *strcasestr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern "C++" const char *strcasestr (const char *__haystack,
         const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 389 "/usr/include/string.h" 3 4
extern void *memmem (const void *__haystack, size_t __haystacklen,
       const void *__needle, size_t __needlelen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)))
    __attribute__ ((__access__ (__read_only__, 1, 2)))
    __attribute__ ((__access__ (__read_only__, 3, 4)));



extern void *__mempcpy (void *__restrict __dest,
   const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlen (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




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




extern char *strerror (int __errnum) noexcept (true);
# 444 "/usr/include/string.h" 3 4
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));




extern const char *strerrordesc_np (int __err) noexcept (true);

extern const char *strerrorname_np (int __err) noexcept (true);





extern char *strerror_l (int __errnum, locale_t __l) noexcept (true);



# 1 "/usr/include/strings.h" 1 3 4
# 23 "/usr/include/strings.h" 3 4
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stddef.h" 1 3 4
# 24 "/usr/include/strings.h" 2 3 4






extern "C" {



extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void bcopy (const void *__src, void *__dest, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


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



extern "C++"
{
extern char *index (char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *index (const char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 66 "/usr/include/strings.h" 3 4
}







extern "C++"
{
extern char *rindex (char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *rindex (const char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 94 "/usr/include/strings.h" 3 4
}
# 104 "/usr/include/strings.h" 3 4
extern int ffs (int __i) noexcept (true) __attribute__ ((__const__));





extern int ffsl (long int __l) noexcept (true) __attribute__ ((__const__));
__extension__ extern int ffsll (long long int __ll)
     noexcept (true) __attribute__ ((__const__));



extern int strcasecmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern int strcasecmp_l (const char *__s1, const char *__s2, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));



extern int strncasecmp_l (const char *__s1, const char *__s2,
     size_t __n, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));


}
# 463 "/usr/include/string.h" 2 3 4



extern void explicit_bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__write_only__, 1, 2)));



extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern char *strsignal (int __sig) noexcept (true);



extern const char *sigabbrev_np (int __sig) noexcept (true);


extern const char *sigdescr_np (int __sig) noexcept (true);



extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlcpy (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



extern size_t strlcat (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__read_write__, 1, 3)));




extern int strverscmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__read_write__, 1, 2)));







extern "C++" char *basename (char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
extern "C++" const char *basename (const char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
# 552 "/usr/include/string.h" 3 4
}
# 43 "/usr/include/c++/13/cstring" 2 3
# 71 "/usr/include/c++/13/cstring" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::memchr;
  using ::memcmp;
  using ::memcpy;
  using ::memmove;
  using ::memset;
  using ::strcat;
  using ::strcmp;
  using ::strcoll;
  using ::strcpy;
  using ::strcspn;
  using ::strerror;
  using ::strlen;
  using ::strncat;
  using ::strncmp;
  using ::strncpy;
  using ::strspn;
  using ::strtok;
  using ::strxfrm;
  using ::strchr;
  using ::strpbrk;
  using ::strrchr;
  using ::strstr;
# 122 "/usr/include/c++/13/cstring" 3

}
}
# 36 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 44 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/include/c++/13/cassert" 1 3
# 41 "/usr/include/c++/13/cassert" 3
       
# 42 "/usr/include/c++/13/cassert" 3


# 1 "/usr/include/assert.h" 1 3 4
# 66 "/usr/include/assert.h" 3 4
extern "C" {


extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__));


extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__));




extern void __assert (const char *__assertion, const char *__file, int __line)
     noexcept (true) __attribute__ ((__noreturn__));


}
# 45 "/usr/include/c++/13/cassert" 2 3
# 45 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2
# 186 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
# 1 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 1 3 4
# 9 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 3 4
# 1 "/usr/include/stdint.h" 1 3 4
# 26 "/usr/include/stdint.h" 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdint.h" 2 3 4

# 1 "/usr/include/aarch64-linux-gnu/bits/wchar.h" 1 3 4
# 29 "/usr/include/stdint.h" 2 3 4
# 1 "/usr/include/aarch64-linux-gnu/bits/wordsize.h" 1 3 4
# 30 "/usr/include/stdint.h" 2 3 4







# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-uintn.h" 1 3 4
# 24 "/usr/include/aarch64-linux-gnu/bits/stdint-uintn.h" 3 4
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/include/stdint.h" 2 3 4



# 1 "/usr/include/aarch64-linux-gnu/bits/stdint-least.h" 1 3 4
# 25 "/usr/include/aarch64-linux-gnu/bits/stdint-least.h" 3 4
typedef __int_least8_t int_least8_t;
typedef __int_least16_t int_least16_t;
typedef __int_least32_t int_least32_t;
typedef __int_least64_t int_least64_t;


typedef __uint_least8_t uint_least8_t;
typedef __uint_least16_t uint_least16_t;
typedef __uint_least32_t uint_least32_t;
typedef __uint_least64_t uint_least64_t;
# 42 "/usr/include/stdint.h" 2 3 4





typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 60 "/usr/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 76 "/usr/include/stdint.h" 3 4
typedef long int intptr_t;


typedef unsigned long int uintptr_t;
# 90 "/usr/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
# 10 "/usr/lib/gcc/aarch64-linux-gnu/13/include/stdint.h" 2 3 4
# 187 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 2




# 190 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
typedef uint16_t uc16;
# 239 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
namespace double_conversion {

inline int StrLength(const char* string) {
  size_t length = strlen(string);
  
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 (static_cast <bool> (
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
 length == static_cast<size_t>(static_cast<int>(length))
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 ) ? void (0) : __assert_fail (
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
 "length == static_cast<size_t>(static_cast<int>(length))"
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 243 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                  ;
  return static_cast<int>(length);
}


template <typename T>
class Vector {
 public:
  Vector() : start_(nullptr), length_(0) {}
  Vector(T* data, int len) : start_(data), length_(len) {
    
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   len == 0 || (len > 0 && data != nullptr)
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "len == 0 || (len > 0 && data != nullptr)"
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 253 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                       ;
  }



  Vector<T> SubVector(int from, int to) {
    
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   to <= length_
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "to <= length_"
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 259 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                          ;
    
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   from < to
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "from < to"
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 260 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   0 <= from
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "0 <= from"
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 261 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    return Vector<T>(start() + from, to - from);
  }


  int length() const { return length_; }


  bool is_empty() const { return length_ == 0; }


  T* start() const { return start_; }


  T& operator[](int index) const {
    
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   0 <= index && index < length_
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "0 <= index && index < length_"
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 276 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                          ;
    return start_[index];
  }

  T& first() { return start_[0]; }

  T& last() { return start_[length_ - 1]; }

  void pop_back() {
    
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_empty()
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_empty()"
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 285 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                        ;
    --length_;
  }

 private:
  T* start_;
  int length_;
};





class StringBuilder {
 public:
  StringBuilder(char* buffer, int buffer_size)
      : buffer_(buffer, buffer_size), position_(0) { }

  ~StringBuilder() { if (!is_finalized()) Finalize(); }

  int size() const { return buffer_.length(); }


  int position() const {
    
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized()
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized()"
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                            ;
    return position_;
  }


  void Reset() { position_ = 0; }




  void AddCharacter(char c) {
    
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   c != '\0'
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "c != '\\0'"
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 320 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                      ;
    
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ < buffer_.length()
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ < buffer_.length()"
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 321 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                            ;
    buffer_[position_++] = c;
  }



  void AddString(const char* s) {
    AddSubstring(s, StrLength(s));
  }



  void AddSubstring(const char* s, int n) {
    
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ + n < buffer_.length()
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ + n < buffer_.length()"
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 334 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                ;
    
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   static_cast<size_t>(n) <= strlen(s)
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "static_cast<size_t>(n) <= strlen(s)"
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 335 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                ;
    memmove(&buffer_[position_], s, static_cast<size_t>(n));
    position_ += n;
  }




  void AddPadding(char c, int count) {
    for (int i = 0; i < count; i++) {
      AddCharacter(c);
    }
  }


  char* Finalize() {
    
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   !is_finalized() && position_ < buffer_.length()
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "!is_finalized() && position_ < buffer_.length()"
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                            ;
    buffer_[position_] = '\0';


    
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   strlen(buffer_.start()) == static_cast<size_t>(position_)
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "strlen(buffer_.start()) == static_cast<size_t>(position_)"
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 355 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                                                                      ;
    position_ = -1;
    
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   (static_cast <bool> (
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   is_finalized()
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   ) ? void (0) : __assert_fail (
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
   "is_finalized()"
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 357 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
                                           ;
    return buffer_.start();
  }

 private:
  Vector<char> buffer_;
  int position_;

  bool is_finalized() const { return position_ < 0; }

  StringBuilder(); StringBuilder(const StringBuilder&); void operator=(const StringBuilder&);
};
# 394 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/utils.h"
template <class Dest, class Source>
Dest BitCast(const Source& source) {



  static_assert(sizeof(Dest) == sizeof(Source),
                "source and destination size mismatch");





  Dest dest;
  memmove(&dest, &source, sizeof(dest));
  return dest;
}

template <class Dest, class Source>
Dest BitCast(Source* source) {
  return BitCast<Dest>(reinterpret_cast<uintptr_t>(source));
}

}
# 32 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/bignum.h" 2

namespace double_conversion {

class Bignum {
 public:



  static const int kMaxSignificantBits = 3584;

  Bignum() : used_bigits_(0), exponent_(0) {}

  void AssignUInt16(const uint16_t value);
  void AssignUInt64(uint64_t value);
  void AssignBignum(const Bignum& other);

  void AssignDecimalString(const Vector<const char> value);
  void AssignHexString(const Vector<const char> value);

  void AssignPowerUInt16(uint16_t base, const int exponent);

  void AddUInt64(const uint64_t operand);
  void AddBignum(const Bignum& other);

  void SubtractBignum(const Bignum& other);

  void Square();
  void ShiftLeft(const int shift_amount);
  void MultiplyByUInt32(const uint32_t factor);
  void MultiplyByUInt64(const uint64_t factor);
  void MultiplyByPowerOfTen(const int exponent);
  void Times10() { return MultiplyByUInt32(10); }




  uint16_t DivideModuloIntBignum(const Bignum& other);

  bool ToHexString(char* buffer, const int buffer_size) const;





  static int Compare(const Bignum& a, const Bignum& b);
  static bool Equal(const Bignum& a, const Bignum& b) {
    return Compare(a, b) == 0;
  }
  static bool LessEqual(const Bignum& a, const Bignum& b) {
    return Compare(a, b) <= 0;
  }
  static bool Less(const Bignum& a, const Bignum& b) {
    return Compare(a, b) < 0;
  }

  static int PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c);

  static bool PlusEqual(const Bignum& a, const Bignum& b, const Bignum& c) {
    return PlusCompare(a, b, c) == 0;
  }

  static bool PlusLessEqual(const Bignum& a, const Bignum& b, const Bignum& c) {
    return PlusCompare(a, b, c) <= 0;
  }

  static bool PlusLess(const Bignum& a, const Bignum& b, const Bignum& c) {
    return PlusCompare(a, b, c) < 0;
  }
 private:
  typedef uint32_t Chunk;
  typedef uint64_t DoubleChunk;

  static const int kChunkSize = sizeof(Chunk) * 8;
  static const int kDoubleChunkSize = sizeof(DoubleChunk) * 8;


  static const int kBigitSize = 28;
  static const Chunk kBigitMask = (1 << kBigitSize) - 1;


  static const int kBigitCapacity = kMaxSignificantBits / kBigitSize;

  static void EnsureCapacity(const int size) {
    if (size > kBigitCapacity) {
      (abort());
    }
  }
  void Align(const Bignum& other);
  void Clamp();
  bool IsClamped() const {
    return used_bigits_ == 0 || RawBigit(used_bigits_ - 1) != 0;
  }
  void Zero() {
    used_bigits_ = 0;
    exponent_ = 0;
  }



  void BigitsShiftLeft(const int shift_amount);

  int BigitLength() const { return used_bigits_ + exponent_; }
  Chunk& RawBigit(const int index);
  const Chunk& RawBigit(const int index) const;
  Chunk BigitOrZero(const int index) const;
  void SubtractTimes(const Bignum& other, const int factor);





  int16_t used_bigits_;
  int16_t exponent_;
  Chunk bigits_buffer_[kBigitCapacity];

  Bignum(const Bignum&); void operator=(const Bignum&);
};

}
# 32 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/cached-powers.h" 1
# 31 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/cached-powers.h"
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 1
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
namespace double_conversion {







class DiyFp {
 public:
  static const int kSignificandSize = 64;

  DiyFp() : f_(0), e_(0) {}
  DiyFp(const uint64_t significand, const int32_t exponent) : f_(significand), e_(exponent) {}





  void Subtract(const DiyFp& other) {
    
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   e_ == other.e_
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "e_ == other.e_"
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 53 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                           ;
    
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   f_ >= other.f_
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "f_ >= other.f_"
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 54 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                           ;
    f_ -= other.f_;
  }




  static DiyFp Minus(const DiyFp& a, const DiyFp& b) {
    DiyFp result = a;
    result.Subtract(b);
    return result;
  }


  void Multiply(const DiyFp& other) {




    const uint64_t kM32 = 0xFFFFFFFFU;
    const uint64_t a = f_ >> 32;
    const uint64_t b = f_ & kM32;
    const uint64_t c = other.f_ >> 32;
    const uint64_t d = other.f_ & kM32;
    const uint64_t ac = a * c;
    const uint64_t bc = b * c;
    const uint64_t ad = a * d;
    const uint64_t bd = b * d;


    const uint64_t tmp = (bd >> 32) + (ad & kM32) + (bc & kM32) + (1U << 31);
    e_ += other.e_ + 64;
    f_ = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32);
  }


  static DiyFp Times(const DiyFp& a, const DiyFp& b) {
    DiyFp result = a;
    result.Multiply(b);
    return result;
  }

  void Normalize() {
    
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   (static_cast <bool> (
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   f_ != 0
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   ) ? void (0) : __assert_fail (
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
   "f_ != 0"
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 97 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/diy-fp.h"
                                    ;
    uint64_t significand = f_;
    int32_t exponent = e_;



    const uint64_t k10MSBits = (((static_cast<uint64_t>(0xFFC00000) << 32) + 0x00000000u));
    while ((significand & k10MSBits) == 0) {
      significand <<= 10;
      exponent -= 10;
    }
    while ((significand & kUint64MSB) == 0) {
      significand <<= 1;
      exponent--;
    }
    f_ = significand;
    e_ = exponent;
  }

  static DiyFp Normalize(const DiyFp& a) {
    DiyFp result = a;
    result.Normalize();
    return result;
  }

  uint64_t f() const { return f_; }
  int32_t e() const { return e_; }

  void set_f(uint64_t new_value) { f_ = new_value; }
  void set_e(int32_t new_value) { e_ = new_value; }

 private:
  static const uint64_t kUint64MSB = (((static_cast<uint64_t>(0x80000000) << 32) + 0x00000000u));

  uint64_t f_;
  int32_t e_;
};

}
# 32 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/cached-powers.h" 2

namespace double_conversion {

namespace PowersOfTenCache {



  static const int kDecimalExponentDistance = 8;

  static const int kMinDecimalExponent = -348;
  static const int kMaxDecimalExponent = 340;



  void GetCachedPowerForBinaryExponentRange(int min_exponent,
                                            int max_exponent,
                                            DiyFp* power,
                                            int* decimal_exponent);






  void GetCachedPowerForDecimalExponent(int requested_exponent,
                                        DiyFp* power,
                                        int* found_exponent);

}

}
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 1
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
namespace double_conversion {


static uint64_t double_to_uint64(double d) { return BitCast<uint64_t>(d); }
static double uint64_to_double(uint64_t d64) { return BitCast<double>(d64); }
static uint32_t float_to_uint32(float f) { return BitCast<uint32_t>(f); }
static float uint32_to_float(uint32_t d32) { return BitCast<float>(d32); }


class Double {
 public:
  static const uint64_t kSignMask = (((static_cast<uint64_t>(0x80000000) << 32) + 0x00000000u));
  static const uint64_t kExponentMask = (((static_cast<uint64_t>(0x7FF00000) << 32) + 0x00000000u));
  static const uint64_t kSignificandMask = (((static_cast<uint64_t>(0x000FFFFF) << 32) + 0xFFFFFFFFu));
  static const uint64_t kHiddenBit = (((static_cast<uint64_t>(0x00100000) << 32) + 0x00000000u));
  static const uint64_t kQuietNanBit = (((static_cast<uint64_t>(0x00080000) << 32) + 0x00000000u));
  static const int kPhysicalSignificandSize = 52;
  static const int kSignificandSize = 53;
  static const int kExponentBias = 0x3FF + kPhysicalSignificandSize;
  static const int kMaxExponent = 0x7FF - kExponentBias;

  Double() : d64_(0) {}
  explicit Double(double d) : d64_(double_to_uint64(d)) {}
  explicit Double(uint64_t d64) : d64_(d64) {}
  explicit Double(DiyFp diy_fp)
    : d64_(DiyFpToUint64(diy_fp)) {}



  DiyFp AsDiyFp() const {
    
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 63 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   !IsSpecial()
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "!IsSpecial()"
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 64 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                         ;
    return DiyFp(Significand(), Exponent());
  }


  DiyFp AsNormalizedDiyFp() const {
    
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 70 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    uint64_t f = Significand();
    int e = Exponent();


    while ((f & kHiddenBit) == 0) {
      f <<= 1;
      e--;
    }

    f <<= DiyFp::kSignificandSize - kSignificandSize;
    e -= DiyFp::kSignificandSize - kSignificandSize;
    return DiyFp(f, e);
  }


  uint64_t AsUint64() const {
    return d64_;
  }


  double NextDouble() const {
    if (d64_ == kInfinity) return Double(kInfinity).value();
    if (Sign() < 0 && Significand() == 0) {

      return 0.0;
    }
    if (Sign() < 0) {
      return Double(d64_ - 1).value();
    } else {
      return Double(d64_ + 1).value();
    }
  }

  double PreviousDouble() const {
    if (d64_ == (kInfinity | kSignMask)) return -Infinity();
    if (Sign() < 0) {
      return Double(d64_ + 1).value();
    } else {
      if (Significand() == 0) return -0.0;
      return Double(d64_ - 1).value();
    }
  }

  int Exponent() const {
    if (IsDenormal()) return kDenormalExponent;

    uint64_t d64 = AsUint64();
    int biased_e =
        static_cast<int>((d64 & kExponentMask) >> kPhysicalSignificandSize);
    return biased_e - kExponentBias;
  }

  uint64_t Significand() const {
    uint64_t d64 = AsUint64();
    uint64_t significand = d64 & kSignificandMask;
    if (!IsDenormal()) {
      return significand + kHiddenBit;
    } else {
      return significand;
    }
  }


  bool IsDenormal() const {
    uint64_t d64 = AsUint64();
    return (d64 & kExponentMask) == 0;
  }



  bool IsSpecial() const {
    uint64_t d64 = AsUint64();
    return (d64 & kExponentMask) == kExponentMask;
  }

  bool IsNan() const {
    uint64_t d64 = AsUint64();
    return ((d64 & kExponentMask) == kExponentMask) &&
        ((d64 & kSignificandMask) != 0);
  }

  bool IsQuietNan() const {



    return IsNan() && ((AsUint64() & kQuietNanBit) != 0);

  }

  bool IsSignalingNan() const {



    return IsNan() && ((AsUint64() & kQuietNanBit) == 0);

  }


  bool IsInfinite() const {
    uint64_t d64 = AsUint64();
    return ((d64 & kExponentMask) == kExponentMask) &&
        ((d64 & kSignificandMask) == 0);
  }

  int Sign() const {
    uint64_t d64 = AsUint64();
    return (d64 & kSignMask) == 0? 1: -1;
  }



  DiyFp UpperBoundary() const {
    
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 183 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    return DiyFp(Significand() * 2 + 1, Exponent() - 1);
  }





  void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
    
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 192 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    DiyFp v = this->AsDiyFp();
    DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
    DiyFp m_minus;
    if (LowerBoundaryIsCloser()) {
      m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
    } else {
      m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
    }
    m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
    m_minus.set_e(m_plus.e());
    *out_m_plus = m_plus;
    *out_m_minus = m_minus;
  }

  bool LowerBoundaryIsCloser() const {
# 216 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
    bool physical_significand_is_zero = ((AsUint64() & kSignificandMask) == 0);
    return physical_significand_is_zero && (Exponent() != kDenormalExponent);
  }

  double value() const { return uint64_to_double(d64_); }







  static int SignificandSizeForOrderOfMagnitude(int order) {
    if (order >= (kDenormalExponent + kSignificandSize)) {
      return kSignificandSize;
    }
    if (order <= kDenormalExponent) return 0;
    return order - kDenormalExponent;
  }

  static double Infinity() {
    return Double(kInfinity).value();
  }

  static double NaN() {
    return Double(kNaN).value();
  }

 private:
  static const int kDenormalExponent = -kExponentBias + 1;
  static const uint64_t kInfinity = (((static_cast<uint64_t>(0x7FF00000) << 32) + 0x00000000u));



  static const uint64_t kNaN = (((static_cast<uint64_t>(0x7FF80000) << 32) + 0x00000000u));



  const uint64_t d64_;

  static uint64_t DiyFpToUint64(DiyFp diy_fp) {
    uint64_t significand = diy_fp.f();
    int exponent = diy_fp.e();
    while (significand > kHiddenBit + kSignificandMask) {
      significand >>= 1;
      exponent++;
    }
    if (exponent >= kMaxExponent) {
      return kInfinity;
    }
    if (exponent < kDenormalExponent) {
      return 0;
    }
    while (exponent > kDenormalExponent && (significand & kHiddenBit) == 0) {
      significand <<= 1;
      exponent--;
    }
    uint64_t biased_exponent;
    if (exponent == kDenormalExponent && (significand & kHiddenBit) == 0) {
      biased_exponent = 0;
    } else {
      biased_exponent = static_cast<uint64_t>(exponent + kExponentBias);
    }
    return (significand & kSignificandMask) |
        (biased_exponent << kPhysicalSignificandSize);
  }

  Double(const Double&); void operator=(const Double&);
};

class Single {
 public:
  static const uint32_t kSignMask = 0x80000000;
  static const uint32_t kExponentMask = 0x7F800000;
  static const uint32_t kSignificandMask = 0x007FFFFF;
  static const uint32_t kHiddenBit = 0x00800000;
  static const uint32_t kQuietNanBit = 0x00400000;
  static const int kPhysicalSignificandSize = 23;
  static const int kSignificandSize = 24;

  Single() : d32_(0) {}
  explicit Single(float f) : d32_(float_to_uint32(f)) {}
  explicit Single(uint32_t d32) : d32_(d32) {}



  DiyFp AsDiyFp() const {
    
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 303 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   !IsSpecial()
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "!IsSpecial()"
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 304 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                         ;
    return DiyFp(Significand(), Exponent());
  }


  uint32_t AsUint32() const {
    return d32_;
  }

  int Exponent() const {
    if (IsDenormal()) return kDenormalExponent;

    uint32_t d32 = AsUint32();
    int biased_e =
        static_cast<int>((d32 & kExponentMask) >> kPhysicalSignificandSize);
    return biased_e - kExponentBias;
  }

  uint32_t Significand() const {
    uint32_t d32 = AsUint32();
    uint32_t significand = d32 & kSignificandMask;
    if (!IsDenormal()) {
      return significand + kHiddenBit;
    } else {
      return significand;
    }
  }


  bool IsDenormal() const {
    uint32_t d32 = AsUint32();
    return (d32 & kExponentMask) == 0;
  }



  bool IsSpecial() const {
    uint32_t d32 = AsUint32();
    return (d32 & kExponentMask) == kExponentMask;
  }

  bool IsNan() const {
    uint32_t d32 = AsUint32();
    return ((d32 & kExponentMask) == kExponentMask) &&
        ((d32 & kSignificandMask) != 0);
  }

  bool IsQuietNan() const {



    return IsNan() && ((AsUint32() & kQuietNanBit) != 0);

  }

  bool IsSignalingNan() const {



    return IsNan() && ((AsUint32() & kQuietNanBit) == 0);

  }


  bool IsInfinite() const {
    uint32_t d32 = AsUint32();
    return ((d32 & kExponentMask) == kExponentMask) &&
        ((d32 & kSignificandMask) == 0);
  }

  int Sign() const {
    uint32_t d32 = AsUint32();
    return (d32 & kSignMask) == 0? 1: -1;
  }





  void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
    
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   value() > 0.0
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "value() > 0.0"
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 384 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                          ;
    DiyFp v = this->AsDiyFp();
    DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
    DiyFp m_minus;
    if (LowerBoundaryIsCloser()) {
      m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
    } else {
      m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
    }
    m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
    m_minus.set_e(m_plus.e());
    *out_m_plus = m_plus;
    *out_m_minus = m_minus;
  }



  DiyFp UpperBoundary() const {
    
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   (static_cast <bool> (
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   Sign() > 0
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   ) ? void (0) : __assert_fail (
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
   "Sign() > 0"
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 402 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
                                       ;
    return DiyFp(Significand() * 2 + 1, Exponent() - 1);
  }

  bool LowerBoundaryIsCloser() const {
# 415 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/ieee.h"
    bool physical_significand_is_zero = ((AsUint32() & kSignificandMask) == 0);
    return physical_significand_is_zero && (Exponent() != kDenormalExponent);
  }

  float value() const { return uint32_to_float(d32_); }

  static float Infinity() {
    return Single(kInfinity).value();
  }

  static float NaN() {
    return Single(kNaN).value();
  }

 private:
  static const int kExponentBias = 0x7F + kPhysicalSignificandSize;
  static const int kDenormalExponent = -kExponentBias + 1;
  static const int kMaxExponent = 0xFF - kExponentBias;
  static const uint32_t kInfinity = 0x7F800000;



  static const uint32_t kNaN = 0x7FC00000;


  const uint32_t d32_;

  Single(const Single&); void operator=(const Single&);
};

}
# 34 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2
# 1 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.h" 1
# 33 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.h"
namespace double_conversion {



double Strtod(Vector<const char> buffer, int exponent);



float Strtof(Vector<const char> buffer, int exponent);




double StrtodTrimmed(Vector<const char> trimmed, int exponent);




float StrtofTrimmed(Vector<const char> trimmed, int exponent);

inline Vector<const char> TrimTrailingZeros(Vector<const char> buffer) {
  for (int i = buffer.length() - 1; i >= 0; --i) {
    if (buffer[i] != '0') {
      return buffer.SubVector(0, i + 1);
    }
  }
  return Vector<const char>(buffer.start(), 0);
}

}
# 35 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 2

namespace double_conversion {





static const int kMaxExactDoubleIntegerDecimalDigits = 15;


static const int kMaxUint64DecimalDigits = 19;







static const int kMaxDecimalPower = 309;
static const int kMinDecimalPower = -324;


static const uint64_t kMaxUint64 = (((static_cast<uint64_t>(0xFFFFFFFF) << 32) + 0xFFFFFFFFu));



static const double exact_powers_of_ten[] = {
  1.0,
  10.0,
  100.0,
  1000.0,
  10000.0,
  100000.0,
  1000000.0,
  10000000.0,
  100000000.0,
  1000000000.0,
  10000000000.0,
  100000000000.0,
  1000000000000.0,
  10000000000000.0,
  100000000000000.0,
  1000000000000000.0,
  10000000000000000.0,
  100000000000000000.0,
  1000000000000000000.0,
  10000000000000000000.0,
  100000000000000000000.0,
  1000000000000000000000.0,

  10000000000000000000000.0
};
static const int kExactPowersOfTenSize = ((sizeof(exact_powers_of_ten) / sizeof(*(exact_powers_of_ten))) / static_cast<size_t>(!(sizeof(exact_powers_of_ten) % sizeof(*(exact_powers_of_ten)))));





static const int kMaxSignificantDecimalDigits = 780;

static Vector<const char> TrimLeadingZeros(Vector<const char> buffer) {
  for (int i = 0; i < buffer.length(); i++) {
    if (buffer[i] != '0') {
      return buffer.SubVector(i, buffer.length());
    }
  }
  return Vector<const char>(buffer.start(), 0);
}

static void CutToMaxSignificantDigits(Vector<const char> buffer,
                                       int exponent,
                                       char* significant_buffer,
                                       int* significant_exponent) {
  for (int i = 0; i < kMaxSignificantDecimalDigits - 1; ++i) {
    significant_buffer[i] = buffer[i];
  }


  
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 buffer[buffer.length() - 1] != '0'
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "buffer[buffer.length() - 1] != '0'"
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 113 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                             ;


  significant_buffer[kMaxSignificantDecimalDigits - 1] = '1';
  *significant_exponent =
      exponent + (buffer.length() - kMaxSignificantDecimalDigits);
}






static void TrimAndCut(Vector<const char> buffer, int exponent,
                       char* buffer_copy_space, int space_size,
                       Vector<const char>* trimmed, int* updated_exponent) {
  Vector<const char> left_trimmed = TrimLeadingZeros(buffer);
  Vector<const char> right_trimmed = TrimTrailingZeros(left_trimmed);
  exponent += left_trimmed.length() - right_trimmed.length();
  if (right_trimmed.length() > kMaxSignificantDecimalDigits) {
    (void) space_size;
    
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   (static_cast <bool> (
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
   space_size >= kMaxSignificantDecimalDigits
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   ) ? void (0) : __assert_fail (
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
   "space_size >= kMaxSignificantDecimalDigits"
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 134 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                       ;
    CutToMaxSignificantDigits(right_trimmed, exponent,
                              buffer_copy_space, updated_exponent);
    *trimmed = Vector<const char>(buffer_copy_space,
                                 kMaxSignificantDecimalDigits);
  } else {
    *trimmed = right_trimmed;
    *updated_exponent = exponent;
  }
}







static uint64_t ReadUint64(Vector<const char> buffer,
                           int* number_of_read_digits) {
  uint64_t result = 0;
  int i = 0;
  while (i < buffer.length() && result <= (kMaxUint64 / 10 - 1)) {
    int digit = buffer[i++] - '0';
    
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   (static_cast <bool> (
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
   0 <= digit && digit <= 9
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   ) ? void (0) : __assert_fail (
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
   "0 <= digit && digit <= 9"
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
   , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 157 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                     ;
    result = 10 * result + digit;
  }
  *number_of_read_digits = i;
  return result;
}






static void ReadDiyFp(Vector<const char> buffer,
                      DiyFp* result,
                      int* remaining_decimals) {
  int read_digits;
  uint64_t significand = ReadUint64(buffer, &read_digits);
  if (buffer.length() == read_digits) {
    *result = DiyFp(significand, 0);
    *remaining_decimals = 0;
  } else {

    if (buffer[read_digits] >= '5') {
      significand++;
    }

    int exponent = 0;
    *result = DiyFp(significand, exponent);
    *remaining_decimals = buffer.length() - read_digits;
  }
}


static bool DoubleStrtod(Vector<const char> trimmed,
                         int exponent,
                         double* result) {
# 204 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
  if (trimmed.length() <= kMaxExactDoubleIntegerDecimalDigits) {
    int read_digits;






    if (exponent < 0 && -exponent < kExactPowersOfTenSize) {

      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
      
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     (static_cast <bool> (
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     read_digits == trimmed.length()
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     ) ? void (0) : __assert_fail (
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     "read_digits == trimmed.length()"
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 215 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                              ;
      *result /= exact_powers_of_ten[-exponent];
      return true;
    }
    if (0 <= exponent && exponent < kExactPowersOfTenSize) {

      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
      
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     (static_cast <bool> (
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     read_digits == trimmed.length()
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     ) ? void (0) : __assert_fail (
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     "read_digits == trimmed.length()"
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 222 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                              ;
      *result *= exact_powers_of_ten[exponent];
      return true;
    }
    int remaining_digits =
        kMaxExactDoubleIntegerDecimalDigits - trimmed.length();
    if ((0 <= exponent) &&
        (exponent - remaining_digits < kExactPowersOfTenSize)) {



      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
      
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     (static_cast <bool> (
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     read_digits == trimmed.length()
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     ) ? void (0) : __assert_fail (
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     "read_digits == trimmed.length()"
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 234 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                              ;
      *result *= exact_powers_of_ten[remaining_digits];
      *result *= exact_powers_of_ten[exponent - remaining_digits];
      return true;
    }
  }
  return false;

}




static DiyFp AdjustmentPowerOfTen(int exponent) {
  
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 0 < exponent
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "0 < exponent"
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 248 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                       ;
  
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 exponent < PowersOfTenCache::kDecimalExponentDistance
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "exponent < PowersOfTenCache::kDecimalExponentDistance"
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 249 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                                ;


  
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 PowersOfTenCache::kDecimalExponentDistance == 8
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "PowersOfTenCache::kDecimalExponentDistance == 8"
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 252 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                          ;
  switch (exponent) {
    case 1: return DiyFp((((static_cast<uint64_t>(0xa0000000) << 32) + 0x00000000u)), -60);
    case 2: return DiyFp((((static_cast<uint64_t>(0xc8000000) << 32) + 0x00000000u)), -57);
    case 3: return DiyFp((((static_cast<uint64_t>(0xfa000000) << 32) + 0x00000000u)), -54);
    case 4: return DiyFp((((static_cast<uint64_t>(0x9c400000) << 32) + 0x00000000u)), -50);
    case 5: return DiyFp((((static_cast<uint64_t>(0xc3500000) << 32) + 0x00000000u)), -47);
    case 6: return DiyFp((((static_cast<uint64_t>(0xf4240000) << 32) + 0x00000000u)), -44);
    case 7: return DiyFp((((static_cast<uint64_t>(0x98968000) << 32) + 0x00000000u)), -40);
    default:
      (abort());
  }
}





static bool DiyFpStrtod(Vector<const char> buffer,
                        int exponent,
                        double* result) {
  DiyFp input;
  int remaining_decimals;
  ReadDiyFp(buffer, &input, &remaining_decimals);





  const int kDenominatorLog = 3;
  const int kDenominator = 1 << kDenominatorLog;

  exponent += remaining_decimals;
  uint64_t error = (remaining_decimals == 0 ? 0 : kDenominator / 2);

  int old_e = input.e();
  input.Normalize();
  error <<= old_e - input.e();

  
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 exponent <= PowersOfTenCache::kMaxDecimalExponent
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "exponent <= PowersOfTenCache::kMaxDecimalExponent"
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 291 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                            ;
  if (exponent < PowersOfTenCache::kMinDecimalExponent) {
    *result = 0.0;
    return true;
  }
  DiyFp cached_power;
  int cached_decimal_exponent;
  PowersOfTenCache::GetCachedPowerForDecimalExponent(exponent,
                                                     &cached_power,
                                                     &cached_decimal_exponent);

  if (cached_decimal_exponent != exponent) {
    int adjustment_exponent = exponent - cached_decimal_exponent;
    DiyFp adjustment_power = AdjustmentPowerOfTen(adjustment_exponent);
    input.Multiply(adjustment_power);
    if (kMaxUint64DecimalDigits - buffer.length() >= adjustment_exponent) {


      
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     (static_cast <bool> (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     DiyFp::kSignificandSize == 64
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     ) ? void (0) : __assert_fail (
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
     "DiyFp::kSignificandSize == 64"
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 309 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                            ;
    } else {

      error += kDenominator / 2;
    }
  }

  input.Multiply(cached_power);





  int error_b = kDenominator / 2;
  int error_ab = (error == 0 ? 0 : 1);
  int fixed_error = kDenominator / 2;
  error += error_b + error_ab + fixed_error;

  old_e = input.e();
  input.Normalize();
  error <<= old_e - input.e();


  int order_of_magnitude = DiyFp::kSignificandSize + input.e();
  int effective_significand_size =
      Double::SignificandSizeForOrderOfMagnitude(order_of_magnitude);
  int precision_digits_count =
      DiyFp::kSignificandSize - effective_significand_size;
  if (precision_digits_count + kDenominatorLog >= DiyFp::kSignificandSize) {



    int shift_amount = (precision_digits_count + kDenominatorLog) -
        DiyFp::kSignificandSize + 1;
    input.set_f(input.f() >> shift_amount);
    input.set_e(input.e() + shift_amount);


    error = (error >> shift_amount) + 1 + kDenominator;
    precision_digits_count -= shift_amount;
  }

  
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 DiyFp::kSignificandSize == 64
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "DiyFp::kSignificandSize == 64"
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 351 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                        ;
  
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 precision_digits_count < 64
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "precision_digits_count < 64"
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 352 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                      ;
  uint64_t one64 = 1;
  uint64_t precision_bits_mask = (one64 << precision_digits_count) - 1;
  uint64_t precision_bits = input.f() & precision_bits_mask;
  uint64_t half_way = one64 << (precision_digits_count - 1);
  precision_bits *= kDenominator;
  half_way *= kDenominator;
  DiyFp rounded_input(input.f() >> precision_digits_count,
                      input.e() + precision_digits_count);
  if (precision_bits >= half_way + error) {
    rounded_input.set_f(rounded_input.f() + 1);
  }




  *result = Double(rounded_input).value();
  if (half_way - error < precision_bits && precision_bits < half_way + error) {



    return false;
  } else {
    return true;
  }
}
# 388 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
static int CompareBufferWithDiyFp(Vector<const char> buffer,
                                  int exponent,
                                  DiyFp diy_fp) {
  
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 buffer.length() + exponent <= kMaxDecimalPower + 1
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "buffer.length() + exponent <= kMaxDecimalPower + 1"
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 391 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                             ;
  
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 buffer.length() + exponent > kMinDecimalPower
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "buffer.length() + exponent > kMinDecimalPower"
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 392 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                        ;
  
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 buffer.length() <= kMaxSignificantDecimalDigits
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "buffer.length() <= kMaxSignificantDecimalDigits"
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 393 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                          ;




  
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 ((kMaxDecimalPower + 1) * 333 / 100) < Bignum::kMaxSignificantBits
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "((kMaxDecimalPower + 1) * 333 / 100) < Bignum::kMaxSignificantBits"
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 398 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                                             ;
  Bignum buffer_bignum;
  Bignum diy_fp_bignum;
  buffer_bignum.AssignDecimalString(buffer);
  diy_fp_bignum.AssignUInt64(diy_fp.f());
  if (exponent >= 0) {
    buffer_bignum.MultiplyByPowerOfTen(exponent);
  } else {
    diy_fp_bignum.MultiplyByPowerOfTen(-exponent);
  }
  if (diy_fp.e() > 0) {
    diy_fp_bignum.ShiftLeft(diy_fp.e());
  } else {
    buffer_bignum.ShiftLeft(-diy_fp.e());
  }
  return Bignum::Compare(buffer_bignum, diy_fp_bignum);
}




static bool ComputeGuess(Vector<const char> trimmed, int exponent,
                         double* guess) {
  if (trimmed.length() == 0) {
    *guess = 0.0;
    return true;
  }
  if (exponent + trimmed.length() - 1 >= kMaxDecimalPower) {
    *guess = Double::Infinity();
    return true;
  }
  if (exponent + trimmed.length() <= kMinDecimalPower) {
    *guess = 0.0;
    return true;
  }

  if (DoubleStrtod(trimmed, exponent, guess) ||
      DiyFpStrtod(trimmed, exponent, guess)) {
    return true;
  }
  if (*guess == Double::Infinity()) {
    return true;
  }
  return false;
}

static bool IsDigit(const char d) {
  return ('0' <= d) && (d <= '9');
}

static bool IsNonZeroDigit(const char d) {
  return ('1' <= d) && (d <= '9');
}



[[maybe_unused]]


static bool AssertTrimmedDigits(const Vector<const char>& buffer) {
  for(int i = 0; i < buffer.length(); ++i) {
    if(!IsDigit(buffer[i])) {
      return false;
    }
  }
  return (buffer.length() == 0) || (IsNonZeroDigit(buffer[0]) && IsNonZeroDigit(buffer[buffer.length()-1]));
}

double StrtodTrimmed(Vector<const char> trimmed, int exponent) {
  
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 trimmed.length() <= kMaxSignificantDecimalDigits
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "trimmed.length() <= kMaxSignificantDecimalDigits"
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 467 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                           ;
  
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 AssertTrimmedDigits(trimmed)
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "AssertTrimmedDigits(trimmed)"
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 468 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                       ;
  double guess;
  const bool is_correct = ComputeGuess(trimmed, exponent, &guess);
  if (is_correct) {
    return guess;
  }
  DiyFp upper_boundary = Double(guess).UpperBoundary();
  int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary);
  if (comparison < 0) {
    return guess;
  } else if (comparison > 0) {
    return Double(guess).NextDouble();
  } else if ((Double(guess).Significand() & 1) == 0) {

    return guess;
  } else {
    return Double(guess).NextDouble();
  }
}

double Strtod(Vector<const char> buffer, int exponent) {
  char copy_buffer[kMaxSignificantDecimalDigits];
  Vector<const char> trimmed;
  int updated_exponent;
  TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits,
             &trimmed, &updated_exponent);
  return StrtodTrimmed(trimmed, updated_exponent);
}

static float SanitizedDoubletof(double d) {
  
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 d >= 0.0
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "d >= 0.0"
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 498 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                   ;





  float max_finite = 3.4028234663852885981170418348451692544e+38;



  double half_max_finite_infinity =
      3.40282356779733661637539395458142568448e+38;
  if (d >= max_finite) {
    if (d >= half_max_finite_infinity) {
      return Single::Infinity();
    } else {
      return max_finite;
    }
  } else {
    return static_cast<float>(d);
  }
}

float Strtof(Vector<const char> buffer, int exponent) {
  char copy_buffer[kMaxSignificantDecimalDigits];
  Vector<const char> trimmed;
  int updated_exponent;
  TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits,
             &trimmed, &updated_exponent);
  exponent = updated_exponent;
  return StrtofTrimmed(trimmed, exponent);
}

float StrtofTrimmed(Vector<const char> trimmed, int exponent) {
  
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 trimmed.length() <= kMaxSignificantDecimalDigits
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "trimmed.length() <= kMaxSignificantDecimalDigits"
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 532 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                                           ;
  
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 AssertTrimmedDigits(trimmed)
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "AssertTrimmedDigits(trimmed)"
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 533 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                       ;

  double double_guess;
  bool is_correct = ComputeGuess(trimmed, exponent, &double_guess);

  float float_guess = SanitizedDoubletof(double_guess);
  if (float_guess == double_guess) {

    return float_guess;
  }
# 558 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
  double double_next = Double(double_guess).NextDouble();
  double double_previous = Double(double_guess).PreviousDouble();

  float f1 = SanitizedDoubletof(double_previous);
  float f2 = float_guess;
  float f3 = SanitizedDoubletof(double_next);
  float f4;
  if (is_correct) {
    f4 = f3;
  } else {
    double double_next2 = Double(double_next).NextDouble();
    f4 = SanitizedDoubletof(double_next2);
  }
  (void) f2;
  
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 f1 <= f2 && f2 <= f3 && f3 <= f4
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "f1 <= f2 && f2 <= f3 && f3 <= f4"
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 572 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                                           ;



  if (f1 == f4) {
    return float_guess;
  }

  
# 580 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 (static_cast <bool> (
# 580 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 (f1 != f2 && f2 == f3 && f3 == f4) || (f1 == f2 && f2 != f3 && f3 == f4) || (f1 == f2 && f2 == f3 && f3 != f4)
# 580 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 ) ? void (0) : __assert_fail (
# 580 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
 "(f1 != f2 && f2 == f3 && f3 == f4) || (f1 == f2 && f2 != f3 && f3 == f4) || (f1 == f2 && f2 == f3 && f3 != f4)"
# 580 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc" 3 4
 , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))

                                            
# 582 "/tmp/tmpl_i20ey9/double-conversion/double-conversion/strtod.cc"
                                           ;



  float guess = f1;
  float next = f4;
  DiyFp upper_boundary;
  if (guess == 0.0f) {
    float min_float = 1e-45f;
    upper_boundary = Double(static_cast<double>(min_float) / 2).AsDiyFp();
  } else {
    upper_boundary = Single(guess).UpperBoundary();
  }
  int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary);
  if (comparison < 0) {
    return guess;
  } else if (comparison > 0) {
    return next;
  } else if ((Single(guess).Significand() & 1) == 0) {

    return guess;
  } else {
    return next;
  }
}

}