
"""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"):
							__magic_name__       =			{
							    "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:
							__magic_name__       =			{
							    "linear": PIL.Image.LINEAR,
							    "bilinear": PIL.Image.BILINEAR,
							    "bicubic": PIL.Image.BICUBIC,
							    "lanczos": PIL.Image.LANCZOS,
							    "nearest": PIL.Image.NEAREST,
							}



def 						_lowerCAmelCase				(				UpperCamelCase_				):
		__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 						_lowerCAmelCase				(				UpperCamelCase_				):
		if images.ndim == 3:
				__SCREAMING_SNAKE_CASE            = images[None, ...]
		__SCREAMING_SNAKE_CASE            = (images * 255).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











import math







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      list[int]:
					__A	:						List[str]       =				[]
					__A	:						Any       =				2
					__A	:						Union[str, Any]       =				int(math.sqrt(a  )  )  # Size of every segment
					__A	:						Any       =				[True] * (end + 1)
					__A	:						List[Any]       =				[]

					while start <= end:
										if temp[start] is True:
															in_prime.append(a  )
															for i in range(start * start					,						end + 1					,						a  ):
																				__A	:						Optional[int]       =				False
										start += 1
					prime += in_prime

					__A	:						Any       =				end + 1
					__A	:						Any       =				min(2 * end					,						a  )

					while low <= n:
										__A	:						List[Any]       =				[True] * (high - low + 1)
										for each in in_prime:
															__A	:						List[str]       =				math.floor(low / each  ) * each
															if t < low:
																				t += each

															for j in range(a					,						high + 1					,						a  ):
																				__A	:						Optional[int]       =				False

										for j in range(len(a  )  ):
															if temp[j] is True:
																				prime.append(j + low  )

										__A	:						Optional[int]       =				high + 1
										__A	:						Tuple       =				min(high + end					,						a  )

					return prime




print(sieve(10**6))




