





import math







def       A__							(   SCREAMING_SNAKE_CASE__)       ->   int:

		if not isinstance(SCREAMING_SNAKE_CASE__ , SCREAMING_SNAKE_CASE__):
				__snake_case:						Optional[int]			  =						F'''Input value of [number={number}] must be an integer'''
				raise TypeError(SCREAMING_SNAKE_CASE__)

		if number < 1:
				__snake_case:						Optional[int]			  =						F'''Input value of [number={number}] must be > 0'''
				raise ValueError(SCREAMING_SNAKE_CASE__)
		elif number == 1:
				return 3
		elif number == 2:
				return 5
		else:
				__snake_case:						List[Any]			  =						int(math.log(number // 3 , 2)) + 2

				__snake_case:						str			  =						[3, 5]
				__snake_case:						int			  =						2
				__snake_case:						List[str]			  =						3
				for block in range(1 , SCREAMING_SNAKE_CASE__):
						for _ in range(SCREAMING_SNAKE_CASE__):
								proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1])
								proth_index += 1
						increment *= 2

		return proth_list[number - 1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						for number in range(11):
												__UpperCAmelCase	:       Optional[int]    	=							0
												try:
																		__UpperCAmelCase	:       int    	=							proth(number)
												except ValueError:
																		print(f'ValueError: there is no {number}th Proth number')
																		continue

												print(f'The {number}th Proth number: {value}')













import warnings

from diffusers import StableDiffusionImgaImgPipeline  # noqa F401


warnings.warn(
    "The `image_to_image.py` script is outdated. Please use directly `from diffusers import"
    " StableDiffusionImg2ImgPipeline` instead."
)






