
"""simple docstring"""
from __future__ import annotations

from fractions import Fraction





def    _lowerCAmelCase    (     lowerCamelCase__							:							int,						lowerCamelCase__							:							int				)  ->    bool:
  return (
      num != den and num % 1_0 == den // 1_0 and (num // 1_0) / (den % 1_0) == num / den
  )





def    _lowerCAmelCase    (     lowerCamelCase__							:							int				)  ->    list[str]:
  _SCREAMING_SNAKE_CASE   :				Any							    = []
  _SCREAMING_SNAKE_CASE   :				Any							    = 1_1
  _SCREAMING_SNAKE_CASE   :				Dict							    = int("1" + "0" * digit_len				)
  for num in range(lowerCamelCase__,						lowerCamelCase__				):
    while den <= 9_9:
      if (num != den) and (num % 1_0 == den // 1_0) and (den % 1_0 != 0):
        if is_digit_cancelling(lowerCamelCase__,						lowerCamelCase__				):
          solutions.append(f'''{num}/{den}'''				)
      den += 1
    num += 1
    _SCREAMING_SNAKE_CASE   :				Union[str, Any]							    = 1_0
  return solutions





def    _lowerCAmelCase    (     lowerCamelCase__							:							int = 2				)  ->    int:
  _SCREAMING_SNAKE_CASE   :				List[str]							    = 1.0
  for fraction in fraction_list(lowerCamelCase__				):
    _SCREAMING_SNAKE_CASE   :				Any							    = Fraction(lowerCamelCase__				)
    result *= frac.denominator / frac.numerator
  return int(lowerCamelCase__				)


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





"""simple docstring"""
import fire

from transformers import AutoConfig, AutoModelForSeqaSeqLM, AutoTokenizer





def    _lowerCAmelCase    (     lowerCamelCase__							:							str,						lowerCamelCase__							:							str,						**lowerCamelCase__							:							Optional[Any]				)  ->    Union[str, Any]:
  _SCREAMING_SNAKE_CASE   :				Dict							    = AutoConfig.from_pretrained(lowerCamelCase__,						**lowerCamelCase__				)
  _SCREAMING_SNAKE_CASE   :				List[str]							    = AutoModelForSeqaSeqLM.from_config(lowerCamelCase__				)
  model.save_pretrained(lowerCamelCase__				)
  AutoTokenizer.from_pretrained(lowerCamelCase__				).save_pretrained(lowerCamelCase__				)
  return model


if __name__ == "__main__":
      fire.Fire(save_randomly_initialized_version)



