






import random




class 							a_				:


							'''simple docstring'''






							def __init__(	self    ,    lowercase_    ,    lowercase_     )      ->      None:
														'''simple docstring'''

														lowerCAmelCase_       		=  x
														lowerCAmelCase_       		=  y

							def   _lowercase (	self     )      ->      bool:
														'''simple docstring'''

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






							@classmethod
							def   _lowercase (	cls     )      ->      int:
														'''simple docstring'''

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


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

							lowerCAmelCase_       		=  0
							for _ in range(a_			):
														lowerCAmelCase_       		=  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

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











def   lowerCamelCase      (		a_ = 4_000_000			)			->    int:

							if n <= 1:
														return 0
							lowerCAmelCase_       		=  0
							lowerCAmelCase_       		=  2
							lowerCAmelCase_       		=  0
							while 4 * b + a <= n:
														lowerCAmelCase_		,     lowerCAmelCase_       		=  b, 4 * b + a
														count += a
							return count + b


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



