



import random



class 	__lowerCAmelCase       :




 def __init__(  self		,			__UpperCAmelCase		,			__UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      x
    __lowerCamelCase  							=      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 						a__     (						_UpperCamelCase     :	int							):
   if number_of_simulations < 1:
      raise ValueError('''At least one simulation is necessary to estimate PI.'''							)

   __lowerCamelCase  							=      0
   for _ in range(_UpperCamelCase							):
      __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

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











def 						a__     (						_UpperCamelCase     :	int							):
   if not isinstance(_UpperCamelCase	,_UpperCamelCase							):
      __lowerCamelCase  							=      (
          '''operation can not be conducted on a object of type '''
          F"""{type(_UpperCamelCase							).__name__}"""
      )
      raise TypeError(_UpperCamelCase							)
   __lowerCamelCase  							=      ''''''
   for _ in range(0	,32							):
      bit_string += str(number % 2							)
      __lowerCamelCase  							=      number >> 1
   return bit_string





def 						a__     (						_UpperCamelCase     :	int							):
   if number < 0:
      raise ValueError('''the value of input must be positive'''							)
   elif isinstance(_UpperCamelCase	,_UpperCamelCase							):
      raise TypeError('''Input value must be a \'int\' type'''							)
   elif isinstance(_UpperCamelCase	,_UpperCamelCase							):
      raise TypeError('''\'<\' not supported between instances of \'str\' and \'int\''''							)
   __lowerCamelCase  							=      0
   # iterator over [1 to 32],since we are dealing with 32 bit integer
   for _ in range(1	,33							):
      # left shift the bits by unity
      __lowerCamelCase  							=      result << 1
      # get the end bit
      __lowerCamelCase  							=      number % 2
      # right shift the bits by unity
      __lowerCamelCase  							=      number >> 1
      # add that bit to our ans
      __lowerCamelCase  							=      result | end_bit
   return get_reverse_bit_string(_UpperCamelCase							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()






