"""simple docstring"""






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


def 			UpperCAmelCase__       (				lowerCAmelCase__     :int					,		lowerCAmelCase__     :int					,		lowerCAmelCase__     :list[int]					,		lowerCAmelCase__     :int		) ->    int:
      '''simple docstring'''


      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 //= 1_0

            return 1

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

            lowercase														=	0
            for digit in range(1_0		):
                  lowercase														=	digit
                  result += reversible_numbers(
                      0					,		(remainder + 2 * digit) // 1_0					,		lowerCAmelCase__					,		lowerCAmelCase__		)
            return result

      lowercase														=	0
      for digita in range(1_0		):
            lowercase														=	digita

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

            for digita in other_parity_digits:
                  lowercase														=	digita
                  result += reversible_numbers(
                      remaining_length - 2					,		(remainder + digita + digita) // 1_0					,		lowerCAmelCase__					,		lowerCAmelCase__					,		)
      return result


def 			UpperCAmelCase__       (				lowerCAmelCase__     :int = 9		) ->    int:
      '''simple docstring'''


      lowercase														=	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() = }""")




"""simple docstring"""






import argparse
from pathlib import Path

from transformers import AutoConfig, AutoTokenizer, RagConfig, RagSequenceForGeneration, RagTokenForGeneration


def 			UpperCAmelCase__       (				lowerCAmelCase__     :Any					,		lowerCAmelCase__     :str					,		lowerCAmelCase__     :str					,		lowerCAmelCase__     :Path					,		lowerCAmelCase__     :str = None					,		lowerCAmelCase__     :str = None					,		lowerCAmelCase__     :str = None					,		) ->    Optional[int]:
      '''simple docstring'''


      if config_name_or_path is None:
            lowercase														=	"""facebook/rag-token-base""" if model_type == """rag_token""" else """facebook/rag-sequence-base"""

      if generator_tokenizer_name_or_path is None:
            lowercase														=	generator_name_or_path

      if question_encoder_tokenizer_name_or_path is None:
            lowercase														=	question_encoder_name_or_path

      lowercase														=	RagTokenForGeneration if model_type == """rag_token""" else RagSequenceForGeneration

      # Save model.
      lowercase														=	RagConfig.from_pretrained(lowerCAmelCase__		)
      lowercase														=	AutoConfig.from_pretrained(lowerCAmelCase__		)
      lowercase														=	AutoConfig.from_pretrained(lowerCAmelCase__		)

      lowercase														=	gen_config
      lowercase														=	question_encoder_config

      lowercase														=	model_class.from_pretrained_question_encoder_generator(
          lowerCAmelCase__					,		lowerCAmelCase__					,		config=lowerCAmelCase__		)
      rag_model.save_pretrained(lowerCAmelCase__		)

      # Sanity check.
      model_class.from_pretrained(lowerCAmelCase__		)

      # Save tokenizers.
      lowercase														=	AutoTokenizer.from_pretrained(lowerCAmelCase__		)
      gen_tokenizer.save_pretrained(dest_dir / """generator_tokenizer/"""		)
      lowercase														=	AutoTokenizer.from_pretrained(lowerCAmelCase__		)
      question_encoder_tokenizer.save_pretrained(dest_dir / """question_encoder_tokenizer/"""		)


if __name__ == "__main__":
       __lowerCAmelCase    :       int					     =argparse.ArgumentParser()
       parser.add_argument(
           """--model_type""",
           choices=["""rag_sequence""", """rag_token"""],
           required=True,
           type=str,
           help="""RAG model type: rag_sequence, rag_token""",
       )
       parser.add_argument("""--dest""", type=str, required=True, help="""Path to the output checkpoint directory.""")
       parser.add_argument("""--generator_name_or_path""", type=str, required=True, help="""Generator model identifier""")
       parser.add_argument(
           """--question_encoder_name_or_path""", type=str, required=True, help="""Question encoder model identifier"""
       )

       parser.add_argument(
           """--generator_tokenizer_name_or_path""",
           type=str,
           help="""Generator tokenizer identifier, if not specified, resolves to ``generator_name_or_path``""",
       )
       parser.add_argument(
           """--question_encoder_tokenizer_name_or_path""",
           type=str,
           help="""Question encoder tokenizer identifier, if not specified, resolves to ``question_encoder_name_or_path``""",
       )
       parser.add_argument(
           """--config_name_or_path""",
           type=str,
           help=(
               """Identifier of the model config to use, if not provided, resolves to a base config for a given"""
               """ ``model_type``"""
           ),
       )

       __lowerCAmelCase    :       List[str]					     =parser.parse_args()

       __lowerCAmelCase    :       Dict					     =Path(args.dest)
       dest_dir.mkdir(exist_ok=True)

       consolidate(
           args.model_type,
           args.generator_name_or_path,
           args.question_encoder_name_or_path,
           dest_dir,
           args.config_name_or_path,
           args.generator_tokenizer_name_or_path,
           args.question_encoder_tokenizer_name_or_path,
       )



