




'''simple docstring'''





import random




class     UpperCamelCase					:



  def __init__( self		,    __lowerCAmelCase		,    __lowerCAmelCase   ):







      '''simple docstring'''


      _a							:       Optional[int]       					=			x
      _a							:       Tuple       					=			y



  def 						a_       ( self   ):







      '''simple docstring'''


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



  @classmethod
  def 						a_       ( cls   ):







      '''simple docstring'''


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






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

    _a							:       str       					=			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

  a		:  str   			=			'''Please enter the desired number of Monte Carlo simulations: '''
  a		:  int   			=			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 UpperCAmelCase						(					UpperCAmelCase_	):
    _a							:       List[Any]       					=			len(UpperCAmelCase_	)
    for cycle_start in range(0      ,  array_len - 1	):
        _a							:       int       					=			array[cycle_start]

        _a							:       int       					=			cycle_start
        for i in range(cycle_start + 1      ,  UpperCAmelCase_	):
            if array[i] < item:
                pos += 1

        if pos == cycle_start:
            continue

        while item == array[pos]:
            pos += 1

        _a					,   _a							:       List[str]       					=			item, array[pos]
        while pos != cycle_start:
            _a							:       Any       					=			cycle_start
            for i in range(cycle_start + 1      ,  UpperCAmelCase_	):
                if array[i] < item:
                    pos += 1

            while item == array[pos]:
                pos += 1

            _a					,   _a							:       List[Any]       					=			item, array[pos]

    return array


if __name__ == "__main__":
  assert cycle_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
  assert cycle_sort([0, 1, -1_0, 1_5, 2, -2]) == [-1_0, -2, 0, 1, 2, 1_5]


