


import random







class 					lowerCAmelCase__	:




     '''simple docstring'''


     def __init__(						self			,						__lowerCamelCase			,						__lowerCamelCase)      ->    None:
            _A				:	Union[str, Any]       =			x
            _A				:	Dict       =			y


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


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




def 							_UpperCAmelCase    (UpperCamelCase__					:  int						):
       if number_of_simulations < 1:
              raise ValueError("At least one simulation is necessary to estimate PI."						)

       _A				:	int       =			0
       for _ in range(UpperCamelCase__						):
              _A				:	str       =			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)}")




import warnings

from .generation import FlaxGenerationMixin







class 					lowerCAmelCase__	(    a):




     '''simple docstring'''
     # warning at import time
     warnings.warn(
         "Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will "
         "be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."					,   a					,   )
