



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'''):
			lowerCAmelCase__		:     Optional[Any]       						={
			    '''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:
			lowerCAmelCase__		:     List[Any]       						={
			    '''linear''': PIL.Image.LINEAR,
			    '''bilinear''': PIL.Image.BILINEAR,
			    '''bicubic''': PIL.Image.BICUBIC,
			    '''lanczos''': PIL.Image.LANCZOS,
			    '''nearest''': PIL.Image.NEAREST,
			}






def 	__lowercase   ( a__   )				-> List[str]:
							__SCREAMING_SNAKE_CASE									=					(images / 2 + 0.5).clamp(0							,   1   )
							__SCREAMING_SNAKE_CASE									=					images.cpu().permute(0							,   2							,   3							,   1   ).float().numpy()
							__SCREAMING_SNAKE_CASE									=					numpy_to_pil(a__   )
							return images






def 	__lowercase   ( a__   )				-> Optional[Any]:







							if images.ndim == 3:
														__SCREAMING_SNAKE_CASE									=					images[None, ...]
							__SCREAMING_SNAKE_CASE									=					(images * 2_55).round().astype('uint8'   )
							if images.shape[-1] == 1:
														# special case for grayscale (single channel) images
														__SCREAMING_SNAKE_CASE									=					[Image.fromarray(image.squeeze()							,   mode='L'   ) for image in images]
							else:
														__SCREAMING_SNAKE_CASE									=					[Image.fromarray(a__   ) for image in images]

							return pil_images










"""simple docstring"""







from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass


@dataclass
class       SCREAMING_SNAKE_CASE__				:
       """simple docstring"""


       a  :				int
       a  :				TreeNode | None   =None
       a  :				TreeNode | None   =None

lowerCAmelCase__      				=   namedtuple('''CoinsDistribResult''', '''moves excess''')
def 					a__			(				SCREAMING_SNAKE_CASE    :    TreeNode | None				):


  '''simple docstring'''







  if root is None:
    return 0

  # Validation
  def count_nodes(SCREAMING_SNAKE_CASE    :    TreeNode | None				) -> int:
    if node is None:
      return 0

    return count_nodes(node.left				) + count_nodes(node.right				) + 1

  def count_coins(SCREAMING_SNAKE_CASE    :    TreeNode | None				) -> int:
    if node is None:
      return 0

    return count_coins(node.left				) + count_coins(node.right				) + node.data

  if count_nodes(SCREAMING_SNAKE_CASE				) != count_coins(SCREAMING_SNAKE_CASE				):
    raise ValueError("The nodes number should be same as the number of coins"				)

  # Main calculation
  def get_distrib(SCREAMING_SNAKE_CASE    :    TreeNode | None				) -> CoinsDistribResult:

    if node is None:
      return CoinsDistribResult(0				,      1				)

    lowerCAmelCase						,  lowerCAmelCase     :     List[str]								=							get_distrib(node.left				)
    lowerCAmelCase						,  lowerCAmelCase     :     List[str]								=							get_distrib(node.right				)

    lowerCAmelCase     :     Union[str, Any]								=							1 - left_distrib_excess
    lowerCAmelCase     :     List[Any]								=							1 - right_distrib_excess

    lowerCAmelCase     :     int								=							(
        left_distrib_moves
        + right_distrib_moves
        + abs(SCREAMING_SNAKE_CASE				)
        + abs(SCREAMING_SNAKE_CASE				)
    )
    lowerCAmelCase     :     int								=							node.data - coins_to_left - coins_to_right

    return CoinsDistribResult(SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				)

  return get_distrib(SCREAMING_SNAKE_CASE				)[0]


if __name__ == "__main__":
     import doctest

     doctest.testmod()





