

def      _lowerCAmelCase(	__A     :   int | float | str			):
  try:
    UpperCAmelCase					      =  float(__lowerCAmelCase			)
  except ValueError:
    raise ValueError("Please enter a valid number"			)
  UpperCAmelCase					      =  decimal - int(__lowerCAmelCase			)
  if fractional_part == 0:
    return int(__lowerCAmelCase			), 1
  else:
    UpperCAmelCase					      =  len(str(__lowerCAmelCase			).split("."			)[1]			)
    UpperCAmelCase					      =  int(decimal * (10**number_of_frac_digits)			)
    UpperCAmelCase					      =  10**number_of_frac_digits
    UpperCAmelCase      ,	UpperCAmelCase					      =  denominator, numerator
    while True:
      UpperCAmelCase					      =  dividend % divisor
      if remainder == 0:
        break
      UpperCAmelCase      ,	UpperCAmelCase					      =  divisor, remainder
    UpperCAmelCase      ,	UpperCAmelCase					      =  numerator / divisor, denominator / divisor
    return int(__lowerCAmelCase			), int(__lowerCAmelCase			)


if __name__ == "__main__":
      print(f"{decimal_to_fraction(2) = }")
      print(f"{decimal_to_fraction(8_9.0) = }")
      print(f"{decimal_to_fraction('67') = }")
      print(f"{decimal_to_fraction('45.0') = }")
      print(f"{decimal_to_fraction(1.5) = }")
      print(f"{decimal_to_fraction('6.25') = }")
      print(f"{decimal_to_fraction('78td') = }")






lowerCAmelCase__       = {
    "a": "AAAAA",
    "b": "AAAAB",
    "c": "AAABA",
    "d": "AAABB",
    "e": "AABAA",
    "f": "AABAB",
    "g": "AABBA",
    "h": "AABBB",
    "i": "ABAAA",
    "j": "BBBAA",
    "k": "ABAAB",
    "l": "ABABA",
    "m": "ABABB",
    "n": "ABBAA",
    "o": "ABBAB",
    "p": "ABBBA",
    "q": "ABBBB",
    "r": "BAAAA",
    "s": "BAAAB",
    "t": "BAABA",
    "u": "BAABB",
    "v": "BBBAB",
    "w": "BABAA",
    "x": "BABAB",
    "y": "BABBA",
    "z": "BABBB",
    " ": " ",
}


lowerCAmelCase__       = {value: key for key, value in encode_dict.items()}
def      _lowerCAmelCase(	__A			):
  UpperCAmelCase					      =  ""
  for letter in word.lower():
    if letter.isalpha() or letter == " ":
      encoded += encode_dict[letter]
    else:
      raise Exception("encode() accepts only letters of the alphabet and spaces"			)
  return encoded
def      _lowerCAmelCase(	__A			):
  if set(__A			) - {"A", "B", " "} != set():
    raise Exception("decode() accepts only 'A', 'B' and spaces"			)
  UpperCAmelCase					      =  ""
  for word in coded.split():
    while len(__A			) != 0:
      decoded += decode_dict[word[:5]]
      UpperCAmelCase					      =  word[5:]
    decoded += " "
  return decoded.strip()


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

      testmod()



