
'''simple docstring'''


import math
def 					__magic_name__(       UpperCAmelCase__ :       int	):
						return sum(int(UpperCAmelCase__	) for digit in str(UpperCAmelCase__	)	)
def 					__magic_name__(       UpperCAmelCase__ :       int = 30	):
						UpperCamelCase_     :	List[str]					     =     []
						for digit in range(2							,				100	):
												for power in range(2							,				100	):
																		UpperCamelCase_     :	List[str]					     =     int(math.pow(UpperCAmelCase__							,				UpperCAmelCase__	)	)
																		if digit == digit_sum(UpperCAmelCase__	):
																								digit_to_powers.append(UpperCAmelCase__	)

						digit_to_powers.sort()
						return digit_to_powers[n - 1]


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






'''simple docstring'''


from typing import Any, Callable, Dict, List, Optional, Union

import PIL.Image
import torch
from transformers import CLIPImageProcessor, CLIPTextModel, CLIPTokenizer

from diffusers import (
    AutoencoderKL,
    DDIMScheduler,
    DiffusionPipeline,
    LMSDiscreteScheduler,
    PNDMScheduler,
    StableDiffusionImgaImgPipeline,
    StableDiffusionInpaintPipelineLegacy,
    StableDiffusionPipeline,
    UNetaDConditionModel,
)
from diffusers.configuration_utils import FrozenDict
from diffusers.pipelines.stable_diffusion.safety_checker import StableDiffusionSafetyChecker
from diffusers.utils import deprecate, logging


__SCREAMING_SNAKE_CASE						=      logging.get_logger(__name__)  # pylint: disable=invalid-name




class     __snake_case			(    _a	):
		a_          =					["safety_checker", "feature_extractor"]




		def __init__(  self					:str			,    _SCREAMING_SNAKE_CASE					:AutoencoderKL			,    _SCREAMING_SNAKE_CASE					:CLIPTextModel			,    _SCREAMING_SNAKE_CASE					:CLIPTokenizer			,    _SCREAMING_SNAKE_CASE					:UNetaDConditionModel			,    _SCREAMING_SNAKE_CASE					:Union[DDIMScheduler, PNDMScheduler, LMSDiscreteScheduler]			,    _SCREAMING_SNAKE_CASE					:StableDiffusionSafetyChecker			,    _SCREAMING_SNAKE_CASE					:CLIPImageProcessor			,    _SCREAMING_SNAKE_CASE					:bool = True			,    )					->			int:






								'''simple docstring'''






								super().__init__()
								if hasattr(scheduler.config			,    """steps_offset""") and scheduler.config.steps_offset != 1:
														UpperCamelCase_     :	Optional[Any]					     =     (
														    F"""The configuration file of this scheduler: {scheduler} is outdated. `steps_offset`"""
														    F""" should be set to 1 instead of {scheduler.config.steps_offset}. Please make sure """
														    """to update the config accordingly as leaving `steps_offset` might led to incorrect results"""
														    """ in future versions. If you have downloaded this checkpoint from the Hugging Face Hub,"""
														    """ it would be very nice if you could open a Pull request for the `scheduler/scheduler_config.json`"""
														    """ file"""
														)
														deprecate("""steps_offset!=1"""			,    """1.0.0"""			,    _SCREAMING_SNAKE_CASE			,    standard_warn=_SCREAMING_SNAKE_CASE)
														UpperCamelCase_     :	Union[str, Any]					     =     dict(scheduler.config)
														UpperCamelCase_     :	Optional[Any]					     =     1
														UpperCamelCase_     :	int					     =     FrozenDict(_SCREAMING_SNAKE_CASE)

								self.register_modules(
								    vae=_SCREAMING_SNAKE_CASE			,    text_encoder=_SCREAMING_SNAKE_CASE			,    tokenizer=_SCREAMING_SNAKE_CASE			,    unet=_SCREAMING_SNAKE_CASE			,    scheduler=_SCREAMING_SNAKE_CASE			,    safety_checker=_SCREAMING_SNAKE_CASE			,    feature_extractor=_SCREAMING_SNAKE_CASE			,    )
								self.register_to_config(requires_safety_checker=_SCREAMING_SNAKE_CASE)




		@property
		def 	_snake_case	(  self					:Tuple)					->			Dict[str, Any]:






								'''simple docstring'''






								return {k: getattr(self			,    _SCREAMING_SNAKE_CASE) for k in self.config.keys() if not k.startswith("""_""")}




		def 	_snake_case	(  self					:Optional[int]			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, int]] = "auto")					->			Union[str, Any]:






								'''simple docstring'''






								if slice_size == "auto":
														# half the attention head size is usually a good trade-off between
														# speed and memory
														UpperCamelCase_     :	int					     =     self.unet.config.attention_head_dim // 2
								self.unet.set_attention_slice(_SCREAMING_SNAKE_CASE)




		def 	_snake_case	(  self					:Union[str, Any])					->			Dict:






								'''simple docstring'''






								self.enable_attention_slicing(_SCREAMING_SNAKE_CASE)




		@torch.no_grad()
		def 	_snake_case	(  self					:Union[str, Any]			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:float = 0.8			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 5_0			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    )					->			List[str]:






								'''simple docstring'''






								return StableDiffusionInpaintPipelineLegacy(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    image=_SCREAMING_SNAKE_CASE			,    mask_image=_SCREAMING_SNAKE_CASE			,    strength=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    )




		@torch.no_grad()
		def 	_snake_case	(  self					:List[str]			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:float = 0.8			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 5_0			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    **_SCREAMING_SNAKE_CASE					:int			,    )					->			Any:






								'''simple docstring'''






								return StableDiffusionImgaImgPipeline(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    image=_SCREAMING_SNAKE_CASE			,    strength=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    callback_steps=_SCREAMING_SNAKE_CASE			,    )





		@torch.no_grad()
		def 	_snake_case	(  self					:Any			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:int = 5_1_2			,    _SCREAMING_SNAKE_CASE					:int = 5_1_2			,    _SCREAMING_SNAKE_CASE					:int = 5_0			,    _SCREAMING_SNAKE_CASE					:float = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:float = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[torch.FloatTensor] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    )					->			List[Any]:






								'''simple docstring'''






								return StableDiffusionPipeline(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    height=_SCREAMING_SNAKE_CASE			,    width=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    latents=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    callback_steps=_SCREAMING_SNAKE_CASE			,    )




