




from itertools import compress, repeat
from math import ceil, sqrt

def lowercase						(     SCREAMING_SNAKE_CASE   ) ->       list[int]:


			'''simple docstring'''







			if num <= 2:
						return []
			if num == 3:
						return [2]

			# Odd sieve for numbers in range [3, num - 1]
			SCREAMING_SNAKE_CASE_			=	bytearray(b'\x01'   ) * ((num >> 1) - 1)

			for i in range(3					,						int(sqrt(SCREAMING_SNAKE_CASE   )   ) + 1					,						2   ):
						if sieve[(i >> 1) - 1]:
									SCREAMING_SNAKE_CASE_			=	i**2
									SCREAMING_SNAKE_CASE_			=	repeat(
									    0					,						ceil((num - i_squared) / (i << 1)   )   )

			return [2] + list(compress(range(3					,						SCREAMING_SNAKE_CASE					,						2   )					,						SCREAMING_SNAKE_CASE   )   )


if __name__ == "__main__":
				import doctest

				doctest.testmod()






from dataclasses import dataclass
from typing import List, Optional, Union

import numpy as np
import PIL

from ...utils import BaseOutput, is_invisible_watermark_available, is_torch_available, is_transformers_available



@dataclass
class 			a_					(    SCREAMING_SNAKE_CASE__    ):
	A						       =   42


if is_transformers_available() and is_torch_available() and is_invisible_watermark_available():
				from .pipeline_stable_diffusion_xl import StableDiffusionXLPipeline
				from .pipeline_stable_diffusion_xl_imgaimg import StableDiffusionXLImgaImgPipeline
