



'''simple docstring'''





def 	a_					(							_lowerCAmelCase	)				->				bool:
  __lowerCamelCase	:	Union[str, Any]   	=			9

  while num > 0:
    if num % 10 != digit:
      return False
    num //= 100
    digit -= 1

  return True

def 	a_					(							)				->				int:
  __lowerCamelCase	:	List[str]   	=			138902663

  while not is_square_form(num * num	):
    if num % 10 == 3:
      num -= 6  # (3 - 6) % 10 = 7
    else:
      num -= 4  # (7 - 4) % 10 = 3

  return num * 10


if __name__ == "__main__":
   print(f'''{solution() = }''')










'''simple docstring'''





import random






class  lowerCamelCase_   :
  """simple docstring"""




  def __init__(			self				:     Union[str, Any]      ,     _a				:     float      ,     _a				:     float       ) -> None:
    __lowerCamelCase	:	Optional[int]   	=			x
    __lowerCamelCase	:	Union[str, Any]   	=			y




  def 						_lowercase					(			self				:     Tuple       ) -> bool:
    return (self.x**2 + self.y**2) <= 1




  @classmethod
  def 						_lowercase					(			cls				:     List[Any]       ) -> Optional[int]:
    return cls(x=random.random()      ,     y=random.random()       )




def 	a_					(							_lowerCAmelCase	)				->				float:
  if number_of_simulations < 1:
    raise ValueError('At least one simulation is necessary to estimate PI.'	)

  __lowerCamelCase	:	Optional[int]   	=			0
  for _ in range(_lowerCAmelCase	):
    __lowerCamelCase	:	Dict   	=			Point.random_unit_square()

    if random_point.is_in_unit_circle():
      number_in_unit_circle += 1

  return 4 * number_in_unit_circle / number_of_simulations


if __name__ == "__main__":
   # import doctest

   # doctest.testmod()
   from math import pi

   _UpperCamelCase							    =						'Please enter the desired number of Monte Carlo simulations: '
   _UpperCamelCase							    =						estimate_pi(int(input(prompt).strip()))
   print(f'''An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}''')






