

'''simple docstring'''






from string import ascii_uppercase


def 					__lowerCamelCase			(      SCREAMING_SNAKE_CASE_     :	str  ,  SCREAMING_SNAKE_CASE_     :	str  ,  SCREAMING_SNAKE_CASE_     :	bool = False  ,  SCREAMING_SNAKE_CASE_     :	str = ascii_uppercase    )							->   str:
      """simple docstring"""

      SCREAMING_SNAKE_CASE_      :			int     =       keyword.upper()
      SCREAMING_SNAKE_CASE_      :			Any     =       plaintext.upper()
      SCREAMING_SNAKE_CASE_      :			Any     =       set(SCREAMING_SNAKE_CASE_    )

      # create a list of unique characters in the keyword - their order matters
      # it determines how we will map plaintext characters to the ciphertext
      SCREAMING_SNAKE_CASE_      :			Dict     =       []
      for char in keyword:
            if char in alphabet_set and char not in unique_chars:
                  unique_chars.append(SCREAMING_SNAKE_CASE_    )
    # the number of those unique characters will determine the number of rows
      SCREAMING_SNAKE_CASE_      :			Optional[int]     =       len(SCREAMING_SNAKE_CASE_    )

      # create a shifted version of the alphabet
      SCREAMING_SNAKE_CASE_      :			Optional[Any]     =       unique_chars + [
          char for char in alphabet if char not in unique_chars
      ]

      # create a modified alphabet by splitting the shifted alphabet into rows
      SCREAMING_SNAKE_CASE_      :			Tuple     =       [
          shifted_alphabet[k : k + num_unique_chars_in_keyword]
          for k in range(0  ,  2_6  ,  SCREAMING_SNAKE_CASE_    )
      ]

      # map the alphabet characters to the modified alphabet characters
      # going 'vertically' through the modified alphabet - consider columns first
      SCREAMING_SNAKE_CASE_      :			List[Any]     =       {}
      SCREAMING_SNAKE_CASE_      :			List[str]     =       0
      for column in range(SCREAMING_SNAKE_CASE_    ):
            for row in modified_alphabet:
                  # if current row (the last one) is too short, break out of loop
                  if len(SCREAMING_SNAKE_CASE_    ) <= column:
                        break

                  # map current letter to letter in modified alphabet
                  SCREAMING_SNAKE_CASE_      :			Union[str, Any]     =       row[column]
                  letter_index += 1

      if verbose:
            print(SCREAMING_SNAKE_CASE_    )
      # create the encrypted text by mapping the plaintext to the modified alphabet
      return "".join(mapping[char] if char in mapping else char for char in plaintext    )


if __name__ == "__main__":
      # example use
      print(mixed_keyword('college', 'UNIVERSITY'))




import math

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     int       )      ->				list:
				if n <= 0:
								raise ValueError("Only positive integers have prime factors"       )
				_UpperCAmelCase				:						Union[str, Any]       						=			[]
				while n % 2 == 0:
								pf.append(2       )
								_UpperCAmelCase				:						Tuple       						=			int(n / 2       )
				for i in range(3     ,					int(math.sqrt(lowerCAmelCase       )       ) + 1     ,					2       ):
								while n % i == 0:
												pf.append(lowerCAmelCase       )
												_UpperCAmelCase				:						Optional[int]       						=			int(n / i       )
				if n > 2:
								pf.append(lowerCAmelCase       )
				return pf

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     int       )      ->				int:
				if n <= 0:
								raise ValueError("Only positive numbers are accepted"       )
				_UpperCAmelCase				:						Dict       						=			1
				_UpperCAmelCase				:						str       						=			1
				while n % 2 == 0:
								temp += 1
								_UpperCAmelCase				:						List[str]       						=			int(n / 2       )
				div *= temp
				for i in range(3     ,					int(math.sqrt(lowerCAmelCase       )       ) + 1     ,					2       ):
								_UpperCAmelCase				:						Any       						=			1
								while n % i == 0:
												temp += 1
												_UpperCAmelCase				:						Any       						=			int(n / i       )
								div *= temp
				if n > 1:
								div *= 2
				return div

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     int       )      ->				int:
				if n <= 0:
								raise ValueError("Only positive numbers are accepted"       )
				_UpperCAmelCase				:						Optional[Any]       						=			1
				_UpperCAmelCase				:						Union[str, Any]       						=			1
				while n % 2 == 0:
								temp += 1
								_UpperCAmelCase				:						Optional[Any]       						=			int(n / 2       )
				if temp > 1:
								s *= (2**temp - 1) / (2 - 1)
				for i in range(3     ,					int(math.sqrt(lowerCAmelCase       )       ) + 1     ,					2       ):
								_UpperCAmelCase				:						List[str]       						=			1
								while n % i == 0:
												temp += 1
												_UpperCAmelCase				:						List[Any]       						=			int(n / i       )
								if temp > 1:
												s *= (i**temp - 1) / (i - 1)
				return int(lowerCAmelCase       )

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     int       )      ->				int:
				_UpperCAmelCase				:						Any       						=			n
				for x in set(prime_factors(lowerCAmelCase       )       ):
								s *= (x - 1) / x
				return int(lowerCAmelCase       )


if __name__ == "__main__":
					import doctest

					doctest.testmod()


