"""simple docstring"""




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

import numpy as np
import PIL

from ...utils import BaseOutput, OptionalDependencyNotAvailable, is_torch_available, is_transformers_available
from .timesteps import (
    fastaa_timesteps,
    smartaa_timesteps,
    smartaa_timesteps,
    smartaaa_timesteps,
    smartaaa_timesteps,
    superaa_timesteps,
    superaa_timesteps,
    superaaa_timesteps,
)
@dataclass
class 		__A							(				SCREAMING_SNAKE_CASE_	):
     _UpperCamelCase							:    Union[List[PIL.Image.Image], np.ndarray]
     _UpperCamelCase							:    Optional[List[bool]]
     _UpperCamelCase							:    Optional[List[bool]]


try:
     if not (is_transformers_available() and is_torch_available()):
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     from ...utils.dummy_torch_and_transformers_objects import *  # noqa F403
else:
     from .pipeline_if import IFPipeline
     from .pipeline_if_imgaimg import IFImgaImgPipeline
     from .pipeline_if_imgaimg_superresolution import IFImgaImgSuperResolutionPipeline
     from .pipeline_if_inpainting import IFInpaintingPipeline
     from .pipeline_if_inpainting_superresolution import IFInpaintingSuperResolutionPipeline
     from .pipeline_if_superresolution import IFSuperResolutionPipeline
     from .safety_checker import IFSafetyChecker
     from .watermark import IFWatermarker





"""simple docstring"""




def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: int = 1000000			) ->   int:
  _lowerCAmelCase		: List[str]						    =  [i - 1 for i in range(limit + 1			)]

  for i in range(2    ,limit + 1			):
    if phi[i] == i - 1:
      for j in range(2 * i    ,limit + 1    ,_lowerCamelCase			):
        phi[j] -= phi[j] // i

  return sum(phi[2 : limit + 1]			)


if __name__ == "__main__":
     print(solution())




