





"""simple docstring"""






def       __lowerCamelCase    (       SCREAMING_SNAKE_CASE = 10**12							)		->       Dict:






       """simple docstring"""




       _UpperCAmelCase     =     1
       _UpperCAmelCase     =     0

       _UpperCAmelCase     =     1
       _UpperCAmelCase     =     1

       while numerator <= 2 * min_total - 1:
              prev_numerator += 2 * numerator
              numerator += 2 * prev_numerator

              prev_denominator += 2 * denominator
              denominator += 2 * prev_denominator

       return (denominator + 1) // 2


if __name__ == "__main__":
    print(F'''{solution() = }''')













"""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 	lowerCAmelCase					(      snake_case							):
       lowerCAmelCase__						 =  42
       lowerCAmelCase__						 =  42
       lowerCAmelCase__						 =  42


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






