from __future__ import annotations



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	list[list[int]]     )							-> bool:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				len(__UpperCamelCase     )
  # We need to create solution object to save path.
  SCREAMING_SNAKE_CASE__      							=				[[0 for _ in range(__UpperCamelCase     )] for _ in range(__UpperCamelCase     )]
  SCREAMING_SNAKE_CASE__      							=				run_maze(__UpperCamelCase			,					0			,					0			,					__UpperCamelCase     )
  if solved:
    print("""\n""".join(str(__UpperCamelCase     ) for row in solutions     )     )
  else:
    print("""No solution exists!"""     )
  return solved



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	list[list[int]]			,					__UpperCamelCase   :	int			,					__UpperCamelCase   :	int			,					__UpperCamelCase   :	list[list[int]]     )							-> bool:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				len(__UpperCamelCase     )
  # Final check point.
  if i == j == (size - 1):
    SCREAMING_SNAKE_CASE__      							=				1
    return True

  SCREAMING_SNAKE_CASE__      							=				(not i < 0) and (not j < 0)  # Check lower bounds
  SCREAMING_SNAKE_CASE__      							=				(i < size) and (j < size)  # Check upper bounds

  if lower_flag and upper_flag:
    # check for already visited and block points.
    SCREAMING_SNAKE_CASE__      							=				(not solutions[i][j]) and (not maze[i][j])
    if block_flag:
      # check visited
      SCREAMING_SNAKE_CASE__      							=				1

      # check for directions
      if (
          run_maze(__UpperCamelCase			,					i + 1			,					__UpperCamelCase			,					__UpperCamelCase     )
          or run_maze(__UpperCamelCase			,					__UpperCamelCase			,					j + 1			,					__UpperCamelCase     )
          or run_maze(__UpperCamelCase			,					i - 1			,					__UpperCamelCase			,					__UpperCamelCase     )
          or run_maze(__UpperCamelCase			,					__UpperCamelCase			,					j - 1			,					__UpperCamelCase     )
      ):
        return True

      SCREAMING_SNAKE_CASE__      							=				0
      return False
  return False


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'''):
   __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      :			int							       =		{
       '''linear''': PIL.Image.LINEAR,
       '''bilinear''': PIL.Image.BILINEAR,
       '''bicubic''': PIL.Image.BICUBIC,
       '''lanczos''': PIL.Image.LANCZOS,
       '''nearest''': PIL.Image.NEAREST,
   }



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int     )							-> Optional[Any]:







  """simple docstring"""





  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(__UpperCamelCase     )
  return images






def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int     )							-> int:







  """simple docstring"""





  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(__UpperCamelCase     ) for image in images]

  return pil_images
