




from __future__ import annotations

from fractions import Fraction

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Dict      ,      __UpperCAmelCase						:     str							) ->			Optional[Any]:
						return (
						    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
						)

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Union[str, Any]							) ->			Any:
						SCREAMING_SNAKE_CASE_     						=      []
						SCREAMING_SNAKE_CASE_     						=      11
						SCREAMING_SNAKE_CASE_     						=      int('1' + '0' * digit_len							)
						for num in range(_UpperCAmelCase      ,      _UpperCAmelCase							):
												while den <= 99:
																		if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
																								if is_digit_cancelling(_UpperCAmelCase      ,      _UpperCAmelCase							):
																														solutions.append(f"{num}/{den}"							)
																		den += 1
												num += 1
												SCREAMING_SNAKE_CASE_     						=      10
						return solutions

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Dict = 2							) ->			int:
						SCREAMING_SNAKE_CASE_     						=      1.0
						for fraction in fraction_list(_UpperCAmelCase							):
												SCREAMING_SNAKE_CASE_     						=      Fraction(_UpperCAmelCase							)
												result *= frac.denominator / frac.numerator
						return int(_UpperCAmelCase							)


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





def  UpperCAmelCase_							(				__UpperCAmelCase						:     str							) ->			str:
      SCREAMING_SNAKE_CASE_     						=      ''
      for ch in key:
            if ch == " " or ch not in key_no_dups and ch.isalpha():
                  key_no_dups += ch
      return key_no_dups

def  UpperCAmelCase_							(				__UpperCAmelCase						:     str							) ->			dict[str, str]:
      SCREAMING_SNAKE_CASE_     						=      [chr(i + 65							) for i in range(26							)]
      # Remove duplicate characters from key
      SCREAMING_SNAKE_CASE_     						=      remove_duplicates(key.upper()							)
      SCREAMING_SNAKE_CASE_     						=      len(__UpperCAmelCase							)
      # First fill cipher with key characters
      SCREAMING_SNAKE_CASE_     						=      {alphabet[i]: char for i, char in enumerate(__UpperCAmelCase							)}
      # Then map remaining characters in alphabet to
      # the alphabet from the beginning
      for i in range(len(__UpperCAmelCase							)      ,      26							):
            SCREAMING_SNAKE_CASE_     						=      alphabet[i - offset]
            # Ensure we are not mapping letters to letters previously mapped
            while char in key:
                  offset -= 1
                  SCREAMING_SNAKE_CASE_     						=      alphabet[i - offset]
            SCREAMING_SNAKE_CASE_     						=      char
      return cipher_alphabet

def  UpperCAmelCase_							(				__UpperCAmelCase						:     str      ,      __UpperCAmelCase						:     dict[str, str]							) ->			str:
      return "".join(cipher_map.get(__UpperCAmelCase      ,      __UpperCAmelCase							) for ch in message.upper()							)

def  UpperCAmelCase_							(				__UpperCAmelCase						:     str      ,      __UpperCAmelCase						:     dict[str, str]							) ->			str:
      SCREAMING_SNAKE_CASE_     						=      {v: k for k, v in cipher_map.items()}
      return "".join(rev_cipher_map.get(__UpperCAmelCase      ,      __UpperCAmelCase							) for ch in message.upper()							)

def  UpperCAmelCase_							(				) ->			None:
      SCREAMING_SNAKE_CASE_     						=      input('Enter message to encode or decode: '							).strip()
      SCREAMING_SNAKE_CASE_     						=      input('Enter keyword: '							).strip()
      SCREAMING_SNAKE_CASE_     						=      input('Encipher or decipher? E/D:'							).strip()[0].lower()
      try:
            SCREAMING_SNAKE_CASE_     						=      {'e': encipher, 'd': decipher}[option]
      except KeyError:
            raise KeyError('invalid input option'							)
      SCREAMING_SNAKE_CASE_     						=      create_cipher_map(__UpperCAmelCase							)
      print(func(__UpperCAmelCase      ,      __UpperCAmelCase							)							)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()