"""simple docstring"""






from __future__ import annotations

from fractions import Fraction



def   a_						(					lowerCamelCase					,			lowerCamelCase       ):
				return (
				    num != den and num % 1_0 == den // 1_0 and (num // 1_0) / (den % 1_0) == num / den
				)



def   a_						(					lowerCamelCase       ):
				UpperCAmelCase__             =							[]
				UpperCAmelCase__             =							1_1
				UpperCAmelCase__             =							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
								UpperCAmelCase__             =							1_0
				return solutions



def   a_						(					lowerCamelCase = 2       ):
				UpperCAmelCase__             =							1.0
				for fraction in fraction_list(lowerCamelCase       ):
								UpperCAmelCase__             =							Fraction(lowerCamelCase       )
								result *= frac.denominator / frac.numerator
				return int(lowerCamelCase       )


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





"""simple docstring"""





from ..utils import DummyObject, requires_backends
class 						SCREAMING_SNAKE_CASE_ (						metaclass=__a ):




		"""simple docstring"""





		__lowercase							:  Tuple						   =		['''keras_nlp''']




		def __init__(     self							,  *lowerCAmelCase__							,  **lowerCAmelCase__):
				requires_backends(self							,  ["""keras_nlp"""])




