import random




def    lowerCAmelCase_ (     __A,  __A,  __A							)     ->				Dict:







      '''simple docstring'''


      UpperCAmelCase__								=  a[left_index]
      UpperCAmelCase__								=  left_index + 1
      for j in range(left_index + 1,  __A							):
            if a[j] < pivot:
                  UpperCAmelCase__		,      UpperCAmelCase__								=  a[i], a[j]
                  i += 1
      UpperCAmelCase__		,      UpperCAmelCase__								=  a[i - 1], a[left_index]
      return i - 1




def    lowerCAmelCase_ (     __A,  __A,  __A							)     ->				Tuple:







      '''simple docstring'''


      if left < right:
            UpperCAmelCase__								=  random.randint(__A,  right - 1							)
            UpperCAmelCase__		,      UpperCAmelCase__								=  (
                a[left],
                a[pivot],
            )  # switches the pivot with the left most bound
            UpperCAmelCase__								=  partition(__A,  __A,  __A							)
            quick_sort_random(
                __A,  __A,  __A							)  # recursive quicksort to the left of the pivot point
            quick_sort_random(
                __A,  pivot_index + 1,  __A							)  # recursive quicksort to the right of the pivot point




def    lowerCAmelCase_ (     )     ->				Any:







      '''simple docstring'''


      UpperCAmelCase__								=  input("Enter numbers separated by a comma:\n"							).strip()
      UpperCAmelCase__								=  [int(__A							) for item in user_input.split(","							)]

      quick_sort_random(__A,  0,  len(__A							)							)

      print(__A							)


if __name__ == "__main__":
      main()







import math




def    snake_case_     (  snake_case			,							snake_case     )  ->				float:
       return math.pow(snake_case			,							2     ) - a




def    snake_case_     (  snake_case     )  ->				float:
       return 2 * x




def    snake_case_     (  snake_case     )  ->				float:
       lowercase__:   Dict  			=   2.0

       while start <= a:
              lowercase__:   str  			=   math.pow(snake_case			,							2     )

       return start




def    snake_case_     (  snake_case			,							snake_case = 99_99			,							snake_case = 0.0_0_0_0_0_0_0_0_0_0_0_0_0_1     )  ->				float:

       if a < 0:
              raise ValueError('math domain error'     )

       lowercase__:   Tuple  			=   get_initial_point(snake_case     )

       for _ in range(snake_case     ):
              lowercase__:   List[Any]  			=   value
              lowercase__:   Any  			=   value - fx(snake_case			,							snake_case     ) / fx_derivative(snake_case     )
              if abs(prev_value - value     ) < tolerance:
                     return value

       return value


if __name__ == "__main__":
 from doctest import testmod

 testmod()


