
'''simple docstring'''







import random
class  SCREAMING_SNAKE_CASE__       :
	def __init__(				self  ,    __UpperCamelCase  ,    __UpperCamelCase			):



					'''simple docstring'''






					__a       :     int								=	x
					__a       :     List[Any]								=	y
	def __lowerCamelCase    (				self			):



					'''simple docstring'''






					return (self.x**2 + self.y**2) <= 1

	@classmethod
	def __lowerCamelCase    (				cls			):



					'''simple docstring'''






					return cls(x=random.random()  ,    y=random.random()			)







def 				_snake_case (		lowercase						)       ->       float:
				if number_of_simulations < 1:
								raise ValueError("""At least one simulation is necessary to estimate PI."""						)

				__a       :     Any								=	0
				for _ in range(lowercase						):
								__a       :     int								=	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

					__SCREAMING_SNAKE_CASE		:  Tuple        =      'Please enter the desired number of Monte Carlo simulations: '
					__SCREAMING_SNAKE_CASE		:  Union[str, Any]        =      estimate_pi(int(input(prompt).strip()))
					print(f'''An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}''')

'''simple docstring'''







def 				_snake_case (		lowercase = 2_0						)       ->       int:

				try:
								__a       :     Optional[Any]								=	int(lowercase						)
				except (TypeError, ValueError):
								raise TypeError("""Parameter n must be int or castable to int."""						)
				if n <= 0:
								raise ValueError("""Parameter n must be greater than or equal to one."""						)
				__a       :     List[Any]								=	0
				while 1:
								i += n * (n - 1)
								__a       :     Union[str, Any]								=	0
								for j in range(2			,    lowercase						):
												if i % j != 0:
																__a       :     Any								=	1
																break
								if nfound == 0:
												if i == 0:
																__a       :     List[str]								=	1
												return i
				return None


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