


from __future__ import annotations

from fractions import Fraction
def      _a					( SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		return (
		    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
		)
def      _a					( SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		lowercase__				= []
		lowercase__				= 11
		lowercase__				= int('''1''' + '''0''' * digit_len	)
		for num in range(SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):
				while den <= 99:
						if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
								if is_digit_cancelling(SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):
										solutions.append(f'{num}/{den}'	)
						den += 1
				num += 1
				lowercase__				= 10
		return solutions
def      _a					( SCREAMING_SNAKE_CASE = 2	):


		"""simple docstring"""




		lowercase__				= 1.0
		for fraction in fraction_list(SCREAMING_SNAKE_CASE	):
				lowercase__				= Fraction(SCREAMING_SNAKE_CASE	)
				result *= frac.denominator / frac.numerator
		return int(SCREAMING_SNAKE_CASE	)


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







"""simple docstring"""







def     UpperCAmelCase_					(				__a   :			int						):




			'''simple docstring'''



			_lowerCamelCase					:					Optional[Any]	       =    int(__a						)
			if decimal in (0, 1):  # Exit cases for the recursion
						return str(__a						)
			_lowerCamelCase       ,							_lowerCamelCase					:					Union[str, Any]	       =    divmod(__a      ,							2						)
			return binary_recursive(__a						) + str(__a						)

def     UpperCAmelCase_					(				__a   :			str						):




			'''simple docstring'''



			_lowerCamelCase					:					int	       =    str(__a						).strip()
			if not number:
						raise ValueError('No input value was provided'						)
			_lowerCamelCase					:					Tuple	       =    '-' if number.startswith('-'						) else ''
			_lowerCamelCase					:					List[Any]	       =    number.lstrip('-'						)
			if not number.isnumeric():
						raise ValueError('Input value is not an integer'						)
			return f"{negative}0b{binary_recursive(int(__a						)						)}"


if __name__ == "__main__":
	from doctest import testmod

	testmod()





