






from __future__ import annotations

from fractions import Fraction





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase				)						->  bool:
				return (
				    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
				)





def      _lowercase					(						_UpperCAmelCase				)						->  list[str]:
				lowerCamelCase	 =[]
				lowerCamelCase	 =11
				lowerCamelCase	 =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
								lowerCamelCase	 =10
				return solutions





def      _lowercase					(						_UpperCAmelCase = 2				)						->  int:
				lowerCamelCase	 =1.0
				for fraction in fraction_list(_SCREAMING_SNAKE_CASE				):
								lowerCamelCase	 =Fraction(_SCREAMING_SNAKE_CASE				)
								result *= frac.denominator / frac.numerator
				return int(_SCREAMING_SNAKE_CASE				)


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












from typing import List

from .keymap import KEYMAP, get_character





def      _lowercase					(						_UpperCAmelCase				)						->  Tuple:

				def decorator(_UpperCAmelCase				):
								lowerCamelCase	 =getattr(_UpperCAmelCase			,      """handle_key"""			,      []				)
								handle += [key]
								setattr(_UpperCAmelCase			,      """handle_key"""			,      _UpperCAmelCase				)
								return func

				return decorator





def      _lowercase					(						*_UpperCAmelCase				)						->  Tuple:

				def decorator(_UpperCAmelCase				):
								lowerCamelCase	 =getattr(_UpperCAmelCase			,      """handle_key"""			,      []				)
								handle += keys
								setattr(_UpperCAmelCase			,      """handle_key"""			,      _UpperCAmelCase				)
								return func

				return decorator

class       __A     (						a    ):


				def __new__(		cls   , UpperCAmelCase_   , UpperCAmelCase_   , UpperCAmelCase_							):
								lowerCamelCase	 =super().__new__(cls   , UpperCAmelCase_   , UpperCAmelCase_   , UpperCAmelCase_							)
								if not hasattr(UpperCAmelCase_   , """key_handler"""							):
												setattr(UpperCAmelCase_   , """key_handler"""   , {}							)
								setattr(UpperCAmelCase_   , """handle_input"""   , KeyHandler.handle_input							)

								for value in attrs.values():
												lowerCamelCase	 =getattr(UpperCAmelCase_   , """handle_key"""   , []							)
												for key in handled_keys:
																lowerCamelCase	 =value
								return new_cls


				@staticmethod
				def _snake_case       (		cls							):
								lowerCamelCase	 =get_character()
								if char != KEYMAP["undefined"]:
												lowerCamelCase	 =ord(UpperCAmelCase_							)
								lowerCamelCase	 =cls.key_handler.get(UpperCAmelCase_							)
								if handler:
												lowerCamelCase	 =char
												return handler(cls							)
								else:
												return None





def      _lowercase					(						cls				)						->  List[str]:
				return KeyHandler(cls.__name__			,      cls.__bases__			,      cls.__dict__.copy()				)





