



"""simple docstring"""




from __future__ import annotations


def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase					)  ->      Optional[Any]:






      '''simple docstring'''


      lowercase	:   str											= [None] * (len(__SCREAMING_SNAKE_CASE					) + len(__SCREAMING_SNAKE_CASE					))

      lowercase	:   Any											= 0  # pointer to current index for left Half
      lowercase	:   Optional[int]											= 0  # pointer to current index for the right Half
      lowercase	:   Optional[int]											= 0  # pointer to current index for the sorted array Half

      while pointera < len(__SCREAMING_SNAKE_CASE					) and pointera < len(__SCREAMING_SNAKE_CASE					):
            if left_half[pointera] < right_half[pointera]:
                  lowercase	:   Optional[Any]											= left_half[pointera]
                  pointera += 1
                  index += 1
            else:
                  lowercase	:   List[Any]											= right_half[pointera]
                  pointera += 1
                  index += 1
      while pointera < len(__SCREAMING_SNAKE_CASE					):
            lowercase	:   Union[str, Any]											= left_half[pointera]
            pointera += 1
            index += 1

      while pointera < len(__SCREAMING_SNAKE_CASE					):
            lowercase	:   List[str]											= right_half[pointera]
            pointera += 1
            index += 1

      return sorted_array


def 	lowercase__  (      _UpperCAmelCase					)  ->      Tuple:






      '''simple docstring'''


      if len(__SCREAMING_SNAKE_CASE					) <= 1:
            return array
      # the actual formula to calculate the middle element = left + (right - left) // 2
      # this avoids integer overflow in case of large N
      lowercase	:   Union[str, Any]											= 0 + (len(__SCREAMING_SNAKE_CASE					) - 0) // 2

      # Split the array into halves till the array length becomes equal to One
      # merge the arrays of single length returned by mergeSort function and
      # pass them into the merge arrays function which merges the array
      lowercase	:   Dict											= array[:middle]
      lowercase	:   Tuple											= array[middle:]

      return merge(merge_sort(__SCREAMING_SNAKE_CASE					)						,   merge_sort(__SCREAMING_SNAKE_CASE					)					)


if __name__ == "__main__":
     import doctest

     doctest.testmod()


import random



def 	_a  (					__SCREAMING_SNAKE_CASE					:  str    ):






  """simple docstring"""




  def is_sorted(__SCREAMING_SNAKE_CASE					:  str    ):
    for i in range(len(__SCREAMING_SNAKE_CASE    ) - 1    ):
      if collection[i] > collection[i + 1]:
        return False
    return True

  while not is_sorted(__SCREAMING_SNAKE_CASE    ):
    random.shuffle(__SCREAMING_SNAKE_CASE    )
  return collection


if __name__ == "__main__":
       _UpperCamelCase:					Dict     =input('Enter numbers separated by a comma:\n').strip()
       _UpperCamelCase:					Optional[Any]     =[int(item) for item in user_input.split(',')]
       print(bogo_sort(unsorted))
