



__lowerCamelCase     :							Any  							=				[0, 2, 4, 6, 8]
__lowerCamelCase     :							str  							=				[1, 3, 5, 7, 9]

def    lowerCamelCase_(lowerCamelCase_    ,   lowerCamelCase_    ,   lowerCamelCase_    ,   lowerCamelCase_    ) ->       int:
						if remaining_length == 0:
												if digits[0] == 0 or digits[-1] == 0:
																		return 0

												for i in range(length // 2 - 1    ,   -1    ,   -1    ):
																		remainder += digits[i] + digits[length - i - 1]

																		if remainder % 2 == 0:
																								return 0

																		remainder //= 10

												return 1

						if remaining_length == 1:
												if remainder % 2 == 0:
																		return 0

												UpperCAmelCase         =     0
												for digit in range(10    ):
																		UpperCAmelCase         =     digit
																		result += reversible_numbers(
																		    0    ,   (remainder + 2 * digit) // 10    ,   lowerCamelCase_    ,   lowerCamelCase_    )
												return result

						UpperCAmelCase         =     0
						for digita in range(10    ):
												UpperCAmelCase         =     digita

												if (remainder + digita) % 2 == 0:
																		UpperCAmelCase         =     ODD_DIGITS
												else:
																		UpperCAmelCase         =     EVEN_DIGITS

												for digita in other_parity_digits:
																		UpperCAmelCase         =     digita
																		result += reversible_numbers(
																		    remaining_length - 2    ,   (remainder + digita + digita) // 10    ,   lowerCamelCase_    ,   lowerCamelCase_    ,   )
						return result

def    lowerCamelCase_(lowerCamelCase_ = 9    ) ->       int:
						UpperCAmelCase         =     0
						for length in range(1    ,   max_power + 1    ):
												result += reversible_numbers(lowerCamelCase_    ,   0    ,   [0] * length    ,   lowerCamelCase_    )
						return result


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








import tempfile
import unittest

from transformers import AutoModelForSeqaSeqLM, AutoTokenizer
from transformers.testing_utils import (
    is_torch_available,
    require_optimum,
    require_torch,
    slow,
)


if is_torch_available():
		import torch





@require_torch
@require_optimum
@slow
class  __magic_name__   (							unittest.TestCase						):






		def SCREAMING_SNAKE_CASE_			(						self      :     Tuple      )				->					Optional[int]:
								'''simple docstring'''







								UpperCAmelCase         =     "hf-internal-testing/tiny-random-t5"
								UpperCAmelCase         =     AutoTokenizer.from_pretrained(UpperCamelCase__      )
								UpperCAmelCase         =     AutoModelForSeqaSeqLM.from_pretrained(UpperCamelCase__      )

								UpperCAmelCase         =     tokenizer("This is me"				,		return_tensors="pt"      )

								UpperCAmelCase         =     model.to_bettertransformer()

								self.assertTrue(any("BetterTransformer" in mod.__class__.__name__ for _, mod in model.named_modules()      )      )

								UpperCAmelCase         =     model.generate(**UpperCamelCase__      )

								UpperCAmelCase         =     model.reverse_bettertransformer()

								self.assertFalse(any("BetterTransformer" in mod.__class__.__name__ for _, mod in model.named_modules()      )      )

								with tempfile.TemporaryDirectory() as tmpdirname:
														model.save_pretrained(UpperCamelCase__      )

														UpperCAmelCase         =     AutoModelForSeqaSeqLM.from_pretrained(UpperCamelCase__      )

														self.assertFalse(
														    any("BetterTransformer" in mod.__class__.__name__ for _, mod in model_reloaded.named_modules()      )      )

														UpperCAmelCase         =     model_reloaded.generate(**UpperCamelCase__      )
														self.assertTrue(torch.allclose(UpperCamelCase__				,		UpperCamelCase__      )      )







		def SCREAMING_SNAKE_CASE_			(						self      :     List[str]      )				->					Optional[int]:
								'''simple docstring'''







								UpperCAmelCase         =     "hf-internal-testing/tiny-random-t5"
								UpperCAmelCase         =     AutoModelForSeqaSeqLM.from_pretrained(UpperCamelCase__      )

								UpperCAmelCase         =     model.to_bettertransformer()

								with tempfile.TemporaryDirectory() as tmpdirname:
														with self.assertRaises(UpperCamelCase__      ):
																				model.save_pretrained(UpperCamelCase__      )

														UpperCAmelCase         =     model.reverse_bettertransformer()
														model.save_pretrained(UpperCamelCase__      )



