



'''simple docstring'''





import math
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase							,   UpperCamelCase = 0							,   UpperCamelCase = 0      ) ->    Union[str, Any]:



    """simple docstring"""





    lowerCAmelCase__			:  str											= end or len(UpperCamelCase      )
    for i in range(UpperCamelCase							,   UpperCamelCase      ):
        lowerCAmelCase__			:  Optional[int]											= i
        lowerCAmelCase__			:  int											= array[i]
        while temp_index != start and temp_index_value < array[temp_index - 1]:
            lowerCAmelCase__			:  List[str]											= array[temp_index - 1]
            temp_index -= 1
        lowerCAmelCase__			:  Union[str, Any]											= temp_index_value
    return array
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      ) ->    int:  # Max Heap



    """simple docstring"""





    lowerCAmelCase__			:  str											= index
    lowerCAmelCase__			:  Optional[Any]											= 2 * index + 1  # Left Node
    lowerCAmelCase__			:  str											= 2 * index + 2  # Right Node

    if left_index < heap_size and array[largest] < array[left_index]:
        lowerCAmelCase__			:  Optional[int]											= left_index

    if right_index < heap_size and array[largest] < array[right_index]:
        lowerCAmelCase__			:  Optional[Any]											= right_index

    if largest != index:
        lowerCAmelCase__			:  Dict											= array[largest], array[index]
        heapify(UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      )
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase      ) ->    List[str]:



    """simple docstring"""





    lowerCAmelCase__			:  List[str]											= len(UpperCamelCase      )

    for i in range(n // 2							,   -1							,   -1      ):
        heapify(UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      )

    for i in range(n - 1							,   0							,   -1      ):
        lowerCAmelCase__			:  Optional[int]											= array[0], array[i]
        heapify(UpperCamelCase							,   0							,   UpperCamelCase      )

    return array
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      ) ->    Tuple:



    """simple docstring"""





    if (array[first_index] > array[middle_index]) != (
        array[first_index] > array[last_index]
    ):
        return array[first_index]
    elif (array[middle_index] > array[first_index]) != (
        array[middle_index] > array[last_index]
    ):
        return array[middle_index]
    else:
        return array[last_index]
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      ) ->    List[Any]:



    """simple docstring"""





    lowerCAmelCase__			:  str											= low
    lowerCAmelCase__			:  Tuple											= high
    while True:
        while array[i] < pivot:
            i += 1
        j -= 1
        while pivot < array[j]:
            j -= 1
        if i >= j:
            return i
        lowerCAmelCase__			:  Tuple											= array[j], array[i]
        i += 1
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase      ) ->    Any:



    """simple docstring"""





    if len(UpperCamelCase      ) == 0:
        return array
    lowerCAmelCase__			:  List[str]											= 2 * math.ceil(math.loga(len(UpperCamelCase      )      )      )
    lowerCAmelCase__			:  List[str]											= 16
    return intro_sort(UpperCamelCase							,   0							,   len(UpperCamelCase      )							,   UpperCamelCase							,   UpperCamelCase      )
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      ) ->    int:



    """simple docstring"""





    while end - start > size_threshold:
        if max_depth == 0:
            return heap_sort(UpperCamelCase      )
        max_depth -= 1
        lowerCAmelCase__			:  Dict											= median_of_a(UpperCamelCase							,   UpperCamelCase							,   start + ((end - start) // 2) + 1							,   end - 1      )
        lowerCAmelCase__			:  Optional[Any]											= partition(UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      )
        intro_sort(UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      )
        lowerCAmelCase__			:  Optional[int]											= p
    return insertion_sort(UpperCamelCase							,   UpperCamelCase							,   UpperCamelCase      )


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 _lowerCAmelCase										=     input('''Enter numbers separated by a comma : ''').strip()
 _lowerCAmelCase										=     [float(item) for item in user_input.split(''',''')]
 print(sort(unsorted))







'''simple docstring'''





from PIL import Image
def        _SCREAMING_SNAKE_CASE  (	UpperCamelCase      ):



    """simple docstring"""





    lowerCAmelCase__				,       lowerCAmelCase__			:  Dict											= image.size
    lowerCAmelCase__			:  int											= 0
    lowerCAmelCase__			:  int											= image.load()
    for i in range(UpperCamelCase      ):
        for j in range(UpperCamelCase      ):
            lowerCAmelCase__			:  int											= pixels[j, i]
            mean += pixel
    mean //= width * height

    for j in range(UpperCamelCase      ):
        for i in range(UpperCamelCase      ):
            lowerCAmelCase__			:  Dict											= 255 if pixels[i, j] > mean else 0
    return image


if __name__ == "__main__":
 _lowerCAmelCase										=     mean_threshold(Image.open('''path_to_image''').convert('''L'''))
 image.save('''output_image_path''')


