


from collections.abc import Callable







class        UpperCamelCase__   :

     def __init__(     self       :   List[Any]							,					UpperCamelCase__       :   Callable | None = None       ):






          '''simple docstring'''






          lowercase_  							=			[]
          # Stores indexes of each item for supporting updates and deletion.
          lowercase_  							=			{}
          # Stores current size of heap.
          lowercase_  							=			0
          # Stores function used to evaluate the score of an item on which basis ordering
          # will be done.
          lowercase_  							=			key or (lambda UpperCamelCase__       : x)

     def   UpperCAmelCase__       (     self       :   Tuple							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          return int((i - 1) / 2       ) if i > 0 else None

     def   UpperCAmelCase__       (     self       :   Union[str, Any]							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			int(2 * i + 1       )
          return left if 0 < left < self.size else None

     def   UpperCAmelCase__       (     self       :   List[Any]							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			int(2 * i + 2       )
          return right if 0 < right < self.size else None

     def   UpperCAmelCase__       (     self       :   Tuple							,					UpperCamelCase__       :   int							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_							,					lowercase_  							=			(
              self.pos_map[self.arr[j][0]],
              self.pos_map[self.arr[i][0]],
          )
          # Then swap the items in the list.
          lowercase_							,					lowercase_  							=			self.arr[j], self.arr[i]

     def   UpperCAmelCase__       (     self       :   Dict							,					UpperCamelCase__       :   int							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          return self.arr[i][1] < self.arr[j][1]

     def   UpperCAmelCase__       (     self       :   Optional[Any]							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			self._left(UpperCamelCase__       )
          lowercase_  							=			self._right(UpperCamelCase__       )
          lowercase_  							=			i

          if left is not None and not self._cmp(UpperCamelCase__							,					UpperCamelCase__       ):
               lowercase_  							=			left
          if right is not None and not self._cmp(UpperCamelCase__							,					UpperCamelCase__       ):
               lowercase_  							=			right

          return valid_parent

     def   UpperCAmelCase__       (     self       :   int							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			self._parent(UpperCamelCase__       )
          while parent is not None and not self._cmp(UpperCamelCase__							,					UpperCamelCase__       ):
               self._swap(UpperCamelCase__							,					UpperCamelCase__       )
               lowercase_							,					lowercase_  							=			parent, self._parent(UpperCamelCase__       )

     def   UpperCAmelCase__       (     self       :   Dict							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			self._get_valid_parent(UpperCamelCase__       )
          while valid_parent != index:
               self._swap(UpperCamelCase__							,					UpperCamelCase__       )
               lowercase_							,					lowercase_  							=			valid_parent, self._get_valid_parent(UpperCamelCase__       )

     def   UpperCAmelCase__       (     self       :   List[str]							,					UpperCamelCase__       :   int							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          if item not in self.pos_map:
               return
          lowercase_  							=			self.pos_map[item]
          lowercase_  							=			[item, self.key(UpperCamelCase__       )]
          # Make sure heap is right in both up and down direction.
          # Ideally only one of them will make any change.
          self._heapify_up(UpperCamelCase__       )
          self._heapify_down(UpperCamelCase__       )

     def   UpperCAmelCase__       (     self       :   List[str]							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          if item not in self.pos_map:
               return
          lowercase_  							=			self.pos_map[item]
          del self.pos_map[item]
          lowercase_  							=			self.arr[self.size - 1]
          lowercase_  							=			index
          self.size -= 1
          # Make sure heap is right in both up and down direction. Ideally only one
          # of them will make any change- so no performance loss in calling both.
          if self.size > index:
               self._heapify_up(UpperCamelCase__       )
               self._heapify_down(UpperCamelCase__       )

     def   UpperCAmelCase__       (     self       :   Any							,					UpperCamelCase__       :   int							,					UpperCamelCase__       :   int       ):






          '''simple docstring'''






          lowercase_  							=			len(self.arr       )
          if arr_len == self.size:
               self.arr.append([item, self.key(UpperCamelCase__       )]       )
          else:
               lowercase_  							=			[item, self.key(UpperCamelCase__       )]
          lowercase_  							=			self.size
          self.size += 1
          self._heapify_up(self.size - 1       )

     def   UpperCAmelCase__       (     self       :   int       ):






          '''simple docstring'''






          return self.arr[0] if self.size else None







     def   UpperCAmelCase__       (     self       :   List[str]       ):






          '''simple docstring'''






          lowercase_  							=			self.get_top()
          if top_item_tuple:
               self.delete_item(top_item_tuple[0]       )
          return top_item_tuple



def 			UpperCAmelCase_				(      ):
     pass


if __name__ == "__main__":
       import doctest

       doctest.testmod()






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 			UpperCAmelCase_				(      UpperCAmelCase__  ):
					lowercase_  							=			(images / 2 + 0.5).clamp(0						,							1  )
					lowercase_  							=			images.cpu().permute(0						,							2						,							3						,							1  ).float().numpy()
					lowercase_  							=			numpy_to_pil(UpperCAmelCase__  )
					return images



def 			UpperCAmelCase_				(      UpperCAmelCase__  ):
					if images.ndim == 3:
										lowercase_  							=			images[None, ...]
					lowercase_  							=			(images * 2_5_5).round().astype("""uint8"""  )
					if images.shape[-1] == 1:
										# special case for grayscale (single channel) images
										lowercase_  							=			[Image.fromarray(image.squeeze()						,							mode="""L"""  ) for image in images]
					else:
										lowercase_  							=			[Image.fromarray(UpperCAmelCase__  ) for image in images]

					return pil_images


