
def        lowerCamelCase_  (   __UpperCamelCase     ):







				if not isinstance(__UpperCamelCase ,						__UpperCamelCase     ):
								raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''     )
				if len(__UpperCamelCase     ) == 0:
								raise ValueError('''Input list must be a non empty list'''     )
				if len(__UpperCamelCase     ) == 1:
								return True
				try:
								A_       	=  series[1] / series[0]
								for index in range(len(__UpperCamelCase     ) - 1     ):
												if series[index + 1] / series[index] != common_ratio:
																return False
				except ZeroDivisionError:
								return False
				return True



def        lowerCamelCase_  (   __UpperCamelCase     ):







				if not isinstance(__UpperCamelCase ,						__UpperCamelCase     ):
								raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''     )
				if len(__UpperCamelCase     ) == 0:
								raise ValueError('''Input list must be a non empty list'''     )
				A_       	=  1
				for value in series:
								answer *= value
				return pow(__UpperCamelCase ,						1 / len(__UpperCamelCase     )     )


if __name__ == "__main__":
						import doctest

						doctest.testmod()


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

import numpy as np
import PIL
from PIL import Image

from ...utils import BaseOutput, is_torch_available, is_transformers_available






@dataclass
class 					__lowercase		(					A       ):
					__magic_name__						:							int     	=	{
					    '''sld_warmup_steps''': 15,
					    '''sld_guidance_scale''': 20,
					    '''sld_threshold''': 0.0,
					    '''sld_momentum_scale''': 0.0,
					    '''sld_mom_beta''': 0.0,
					}
					__magic_name__						:							Optional[int]     	=	{
					    '''sld_warmup_steps''': 10,
					    '''sld_guidance_scale''': 10_00,
					    '''sld_threshold''': 0.01,
					    '''sld_momentum_scale''': 0.3,
					    '''sld_mom_beta''': 0.4,
					}
					__magic_name__						:							str     	=	{
					    '''sld_warmup_steps''': 7,
					    '''sld_guidance_scale''': 20_00,
					    '''sld_threshold''': 0.0_25,
					    '''sld_momentum_scale''': 0.5,
					    '''sld_mom_beta''': 0.7,
					}
					__magic_name__						:							List[Any]     	=	{
					    '''sld_warmup_steps''': 0,
					    '''sld_guidance_scale''': 50_00,
					    '''sld_threshold''': 1.0,
					    '''sld_momentum_scale''': 0.5,
					    '''sld_mom_beta''': 0.7,
					}






@dataclass
class 					__lowercase		(					A       ):
					__magic_name__						:							Union[List[PIL.Image.Image], np.ndarray]
					__magic_name__						:							Optional[List[bool]]
					__magic_name__						:							Optional[Union[List[PIL.Image.Image], np.ndarray]]
					__magic_name__						:							Optional[str]


if is_transformers_available() and is_torch_available():
						from .pipeline_stable_diffusion_safe import StableDiffusionPipelineSafe
						from .safety_checker import SafeStableDiffusionSafetyChecker