"""simple docstring"""


from __future__ import annotations


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       dict[str, str]       ):
   _lowercase     ,  _lowercase     ,  _lowercase							     =       "", "", ""
   _lowercase							     =       []

   for character in message_part:
      tmp.append(character_to_number[character]       )

   for each in tmp:
      one += each[0]
      two += each[1]
      three += each[2]

   return one + two + three


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       dict[str, str]       ):
   _lowercase     ,  _lowercase							     =       "", ""
   _lowercase							     =       []

   for character in message_part:
      this_part += character_to_number[character]

   for digit in this_part:
      tmp += digit
      if len(_lowercase       ) == len(_lowercase       ):
         result.append(_lowercase       )
         _lowercase							     =       ""

   return result[0], result[1], result[2]


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str       ):
   # Validate message and alphabet, set to upper and remove spaces
   _lowercase							     =       alphabet.replace(" ",				""       ).upper()
   _lowercase							     =       message.replace(" ",				""       ).upper()

   # Check length and characters
   if len(_lowercase       ) != 2_7:
      raise KeyError("Length of alphabet has to be 27."       )
   for each in message:
      if each not in alphabet:
         raise ValueError("Each message character has to be included in alphabet!"       )

    # Generate dictionares
   _lowercase							     =       (
       "111",
       "112",
       "113",
       "121",
       "122",
       "123",
       "131",
       "132",
       "133",
       "211",
       "212",
       "213",
       "221",
       "222",
       "223",
       "231",
       "232",
       "233",
       "311",
       "312",
       "313",
       "321",
       "322",
       "323",
       "331",
       "332",
       "333",
   )
   _lowercase							     =       {}
   _lowercase							     =       {}
   for letter, number in zip(_lowercase,				_lowercase       ):
      _lowercase							     =       number
      _lowercase							     =       letter

   return message, alphabet, character_to_number, number_to_character


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str = "ABCDEFGHIJKLMNOPQRSTUVWXYZ.",				_snake_case		:       int = 5       ):
   _lowercase     ,  _lowercase     ,  _lowercase     ,  _lowercase							     =       __prepare(
       _lowercase,				_lowercase       )
   _lowercase     ,  _lowercase							     =       "", ""

   for i in range(0,				len(_lowercase       ) + 1,				_lowercase       ):
      encrypted_numeric += __encrypt_part(
          message[i : i + period],				_lowercase       )

   for i in range(0,				len(_lowercase       ),				3       ):
      encrypted += number_to_character[encrypted_numeric[i : i + 3]]

   return encrypted


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str = "ABCDEFGHIJKLMNOPQRSTUVWXYZ.",				_snake_case		:       int = 5       ):
   _lowercase     ,  _lowercase     ,  _lowercase     ,  _lowercase							     =       __prepare(
       _lowercase,				_lowercase       )
   _lowercase							     =       []
   _lowercase							     =       ""

   for i in range(0,				len(_lowercase       ) + 1,				_lowercase       ):
      _lowercase     ,  _lowercase     ,  _lowercase							     =       __decrypt_part(message[i : i + period],				_lowercase       )

      for j in range(0,				len(_lowercase       )       ):
         decrypted_numeric.append(a[j] + b[j] + c[j]       )

   for each in decrypted_numeric:
      decrypted += number_to_character[each]

   return decrypted


if __name__ == "__main__":
  __UpperCamelCase       :    Optional[Any]         =		"DEFEND THE EAST WALL OF THE CASTLE."
  __UpperCamelCase       :    Optional[Any]         =		encrypt_message(msg, "EPSDUCVWYM.ZLKXNBTFGORIJHAQ")
  __UpperCamelCase       :    List[str]         =		decrypt_message(encrypted, "EPSDUCVWYM.ZLKXNBTFGORIJHAQ")
  print(f'''Encrypted: {encrypted}\nDecrypted: {decrypted}''')






from __future__ import annotations

def      a    (   _lowercase :  float | int			,    _lowercase :  float | int			,    _lowercase :  float | int			,    )  ->list[float | int]:
		if not all((nth_term, start_term_a, common_ratio_r)							):
				return []
		UpperCamelCase__								=						[]
		UpperCamelCase__								=						1
		UpperCamelCase__								=						common_ratio_r
		for _ in range(int(_lowercase							)							):
				if not series:
						series.append(_lowercase							)
				else:
						power += 1
						series.append(float(start_term_a * multiple							)							)
						UpperCamelCase__								=						pow(float(_lowercase							)			,    _lowercase							)
		return series


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				__lowerCAmelCase 	=      float(input("Enter the last number (n term) of the Geometric Series"))
				__lowerCAmelCase 	=      float(input("Enter the starting term (a) of the Geometric Series"))
				__lowerCAmelCase 	=      float(
				    input("Enter the common ratio between two terms (r) of the Geometric Series")
				)
				print("Formula of Geometric Series => a + ar + ar^2 ... +ar^n")
				print(geometric_series(nth_term, start_term_a, common_ratio_r))





