





from __future__ import annotations

import math


def _A       (   __magic_name__	):

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5  , int(math.sqrt(__magic_name__	) + 1	)  , 6	):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True


def _A       (   __magic_name__	):
   lowercase__			       =  str(__magic_name__	)
   lowercase__			       =  [n]
   for i in range(1  , len(__magic_name__	)	):
      list_nums.append(int(str_num[i:]	)	)
      list_nums.append(int(str_num[:-i]	)	)
   return list_nums


def _A       (   __magic_name__	):
   if len(str(__magic_name__	)	) > 3:
      if not is_prime(int(str(__magic_name__	)[-3:]	)	) or not is_prime(int(str(__magic_name__	)[:3]	)	):
         return False
   return True


def _A       (   __magic_name__ = 11	):
   lowercase__			       =  []
   lowercase__			       =  13
   while len(__magic_name__	) != count:
      if validate(__magic_name__	):
         lowercase__			       =  list_truncated_nums(__magic_name__	)
         if all(is_prime(__magic_name__	) for i in list_nums	):
            list_truncated_primes.append(__magic_name__	)
      num += 2
   return list_truncated_primes


def _A       (   ):
   return sum(compute_truncated_primes(11	)	)


if __name__ == "__main__":
  print(F"""{sum(compute_truncated_primes(11)) = }""")













def _A       (   __magic_name__	):
   try:
      lowercase__			       =  float(__magic_name__	)
   except ValueError:
      raise ValueError("Please enter a valid number"	)
   lowercase__			       =  decimal - int(__magic_name__	)
   if fractional_part == 0:
      return int(__magic_name__	), 1
   else:
      lowercase__			       =  len(str(__magic_name__	).split("."	)[1]	)
      lowercase__			       =  int(decimal * (10**number_of_frac_digits)	)
      lowercase__			       =  10**number_of_frac_digits
      lowercase__       ,							lowercase__			       =  denominator, numerator
      while True:
         lowercase__			       =  dividend % divisor
         if remainder == 0:
            break
         lowercase__       ,							lowercase__			       =  divisor, remainder
      lowercase__       ,							lowercase__			       =  numerator / divisor, denominator / divisor
      return int(__magic_name__	), int(__magic_name__	)


if __name__ == "__main__":
  print(F"""{decimal_to_fraction(2) = }""")
  print(F"""{decimal_to_fraction(89.0) = }""")
  print(F"""{decimal_to_fraction("67") = }""")
  print(F"""{decimal_to_fraction("45.0") = }""")
  print(F"""{decimal_to_fraction(1.5) = }""")
  print(F"""{decimal_to_fraction("6.25") = }""")
  print(F"""{decimal_to_fraction("78td") = }""")






