

'''simple docstring'''

import math





def    A_  ( snake_case      ,       snake_case = 0      ,       snake_case = 0 ):
  SCREAMING_SNAKE_CASE:str						      =					end or len(snake_case )
  for i in range(snake_case      ,       snake_case ):
    SCREAMING_SNAKE_CASE:Any						      =					i
    SCREAMING_SNAKE_CASE:Dict						      =					array[i]
    while temp_index != start and temp_index_value < array[temp_index - 1]:
      SCREAMING_SNAKE_CASE:Union[str, Any]						      =					array[temp_index - 1]
      temp_index -= 1
    SCREAMING_SNAKE_CASE:Tuple						      =					temp_index_value
  return array





def    A_  ( snake_case      ,       snake_case      ,       snake_case ):  # Max Heap
  SCREAMING_SNAKE_CASE:Union[str, Any]						      =					index
  SCREAMING_SNAKE_CASE:Any						      =					2 * index + 1  # Left Node
  SCREAMING_SNAKE_CASE:List[str]						      =					2 * index + 2  # Right Node

  if left_index < heap_size and array[largest] < array[left_index]:
    SCREAMING_SNAKE_CASE:Optional[Any]						      =					left_index

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

  if largest != index:
    SCREAMING_SNAKE_CASE      ,    SCREAMING_SNAKE_CASE:Optional[Any]						      =					array[largest], array[index]
    heapify(snake_case      ,       snake_case      ,       snake_case )





def    A_  ( snake_case ):
  SCREAMING_SNAKE_CASE:str						      =					len(snake_case )

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

  for i in range(n - 1      ,       0      ,       -1 ):
    SCREAMING_SNAKE_CASE      ,    SCREAMING_SNAKE_CASE:str						      =					array[0], array[i]
    heapify(snake_case      ,       0      ,       snake_case )

  return array





def    A_  ( snake_case      ,       snake_case      ,       snake_case      ,       snake_case ):
  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    A_  ( snake_case      ,       snake_case      ,       snake_case      ,       snake_case ):
  SCREAMING_SNAKE_CASE:int						      =					low
  SCREAMING_SNAKE_CASE:List[Any]						      =					high
  while True:
    while array[i] < pivot:
      i += 1
    j -= 1
    while pivot < array[j]:
      j -= 1
    if i >= j:
      return i
    SCREAMING_SNAKE_CASE      ,    SCREAMING_SNAKE_CASE:Any						      =					array[j], array[i]
    i += 1





def    A_  ( snake_case ):
  if len(snake_case ) == 0:
    return array
  SCREAMING_SNAKE_CASE:Union[str, Any]						      =					2 * math.ceil(math.loga(len(snake_case ) ) )
  SCREAMING_SNAKE_CASE:Tuple						      =					16
  return intro_sort(snake_case      ,       0      ,       len(snake_case )      ,       snake_case      ,       snake_case )





def    A_  ( snake_case      ,       snake_case      ,       snake_case      ,       snake_case      ,       snake_case ):
  while end - start > size_threshold:
    if max_depth == 0:
      return heap_sort(snake_case )
    max_depth -= 1
    SCREAMING_SNAKE_CASE:Any						      =					median_of_a(snake_case      ,       snake_case      ,       start + ((end - start) // 2) + 1      ,       end - 1 )
    SCREAMING_SNAKE_CASE:Any						      =					partition(snake_case      ,       snake_case      ,       snake_case      ,       snake_case )
    intro_sort(snake_case      ,       snake_case      ,       snake_case      ,       snake_case      ,       snake_case )
    SCREAMING_SNAKE_CASE:List[Any]						      =					p
  return insertion_sort(snake_case      ,       snake_case      ,       snake_case )


if __name__ == "__main__":
    import doctest

    doctest.testmod()

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









'''simple docstring'''

import PIL.Image
import PIL.ImageOps
from packaging import version
from PIL import Image


if version.parse(version.parse(PIL.__version__).base_version) >= version.parse("9.1.0"):
    A_       						=							{
        "linear": PIL.Image.Resampling.BILINEAR,
        "bilinear": PIL.Image.Resampling.BILINEAR,
        "bicubic": PIL.Image.Resampling.BICUBIC,
        "lanczos": PIL.Image.Resampling.LANCZOS,
        "nearest": PIL.Image.Resampling.NEAREST,
    }
else:
    A_       						=							{
        "linear": PIL.Image.LINEAR,
        "bilinear": PIL.Image.BILINEAR,
        "bicubic": PIL.Image.BICUBIC,
        "lanczos": PIL.Image.LANCZOS,
        "nearest": PIL.Image.NEAREST,
    }





def    A_  ( snake_case ):
  SCREAMING_SNAKE_CASE:Any						      =					(images / 2 + 0.5).clamp(0      ,       1 )
  SCREAMING_SNAKE_CASE:Optional[Any]						      =					images.cpu().permute(0      ,       2      ,       3      ,       1 ).float().numpy()
  SCREAMING_SNAKE_CASE:str						      =					numpy_to_pil(snake_case )
  return images





def    A_  ( snake_case ):
  if images.ndim == 3:
    SCREAMING_SNAKE_CASE:List[str]						      =					images[None, ...]
  SCREAMING_SNAKE_CASE:List[Any]						      =					(images * 255).round().astype("uint8" )
  if images.shape[-1] == 1:
    # special case for grayscale (single channel) images
    SCREAMING_SNAKE_CASE:Any						      =					[Image.fromarray(image.squeeze()      ,       mode="L" ) for image in images]
  else:
    SCREAMING_SNAKE_CASE:int						      =					[Image.fromarray(snake_case ) for image in images]

  return pil_images






