"""simple docstring"""







def   __UpperCAmelCase    (   UpperCAmelCase_   :    str  )							->      str:

	'''simple docstring'''





	__snake_case      :							List[str]						=			0

	# if input_string is "aba" than new_input_string become "a|b|a"
	__snake_case      :							Optional[Any]						=			''
	__snake_case      :							str						=			''

	# append each character + "|" in new_string for range(0, length-1)
	for i in input_string[: len(UpperCAmelCase_  ) - 1]:
		new_input_string += i + "|"
	# append last character
	new_input_string += input_string[-1]

	# we will store the starting and ending of previous furthest ending palindromic
	# substring
	__snake_case		,    __snake_case      :							int						=			0, 0

	# length[i] shows the length of palindromic substring with center i
	__snake_case      :							Optional[Any]						=			[1 for i in range(len(UpperCAmelCase_  )  )]

	# for each character in new_string find corresponding palindromic string
	__snake_case      :							str						=			0
	for j in range(len(UpperCAmelCase_  )  ):
		__snake_case      :							Optional[int]						=			1 if j > r else min(length[l + r - j] // 2      ,							r - j + 1  )
		while (
		    j - k >= 0
		    and j + k < len(UpperCAmelCase_  )
		    and new_input_string[k + j] == new_input_string[j - k]
		):
			k += 1

		__snake_case      :							Any						=			2 * k - 1

		# does this string is ending after the previously explored end (that is r) ?
		# if yes the update the new r to the last index of this
		if j + k - 1 > r:
			__snake_case      :							Dict						=			j - k + 1  # noqa: E741
			__snake_case      :							Optional[int]						=			j + k - 1

		# update max_length and start position
		if max_length < length[j]:
			__snake_case      :							str						=			length[j]
			__snake_case      :							Tuple						=			j

    # create that string
	__snake_case      :							Dict						=			new_input_string[start - max_length // 2 : start + max_length // 2 + 1]
	for i in s:
		if i != "|":
			output_string += i

	return output_string


if __name__ == "__main__":
	import doctest

	doctest.testmod()






"""simple docstring"""







import itertools
import string
from collections.abc import Generator, Iterable
def   __UpperCAmelCase    (   UpperCAmelCase_   :    Iterable[str]      ,							UpperCAmelCase_   :    int  )							->      Generator[tuple[str, ...], None, None]:

	'''simple docstring'''





	__snake_case      :							Optional[int]						=			iter(UpperCAmelCase_  )
	while True:
		__snake_case      :							Optional[int]						=			tuple(itertools.islice(UpperCAmelCase_      ,							UpperCAmelCase_  )  )
		if not chunk:
			return
		yield chunk
def   __UpperCAmelCase    (   UpperCAmelCase_   :    str  )							->      str:

	'''simple docstring'''





	__snake_case      :							Any						=			''.join([c.upper() for c in dirty if c in string.ascii_letters]  )
	__snake_case      :							Union[str, Any]						=			''

	if len(UpperCAmelCase_  ) < 2:
		return dirty

	for i in range(len(UpperCAmelCase_  ) - 1  ):
		clean += dirty[i]

		if dirty[i] == dirty[i + 1]:
			clean += "X"

	clean += dirty[-1]

	if len(UpperCAmelCase_  ) & 1:
		clean += "X"

	return clean
def   __UpperCAmelCase    (   UpperCAmelCase_   :    str  )							->      list[str]:

	'''simple docstring'''





	__snake_case      :							List[str]						=			'ABCDEFGHIKLMNOPQRSTUVWXYZ'
	# we're using a list instead of a '2d' array because it makes the math
	# for setting up the table and doing the actual encoding/decoding simpler
	__snake_case      :							Optional[int]						=			[]

	# copy key chars into the table if they are in `alphabet` ignoring duplicates
	for char in key.upper():
		if char not in table and char in alphabet:
			table.append(UpperCAmelCase_  )

    # fill the rest of the table in with the remaining alphabet chars
	for char in alphabet:
		if char not in table:
			table.append(UpperCAmelCase_  )

	return table
def   __UpperCAmelCase    (   UpperCAmelCase_   :    str      ,							UpperCAmelCase_   :    str  )							->      str:

	'''simple docstring'''





	__snake_case      :							str						=			generate_table(UpperCAmelCase_  )
	__snake_case      :							Union[str, Any]						=			prepare_input(UpperCAmelCase_  )
	__snake_case      :							Tuple						=			''

	# https://en.wikipedia.org/wiki/Playfair_cipher#Description
	for chara, chara in chunker(UpperCAmelCase_      ,							2  ):
		__snake_case		,    __snake_case      :							Any						=			divmod(table.index(UpperCAmelCase_  )      ,							5  )
		__snake_case		,    __snake_case      :							Tuple						=			divmod(table.index(UpperCAmelCase_  )      ,							5  )

		if rowa == rowa:
			ciphertext += table[rowa * 5 + (cola + 1) % 5]
			ciphertext += table[rowa * 5 + (cola + 1) % 5]
		elif cola == cola:
			ciphertext += table[((rowa + 1) % 5) * 5 + cola]
			ciphertext += table[((rowa + 1) % 5) * 5 + cola]
		else:  # rectangle
			ciphertext += table[rowa * 5 + cola]
			ciphertext += table[rowa * 5 + cola]

	return ciphertext

def   __UpperCAmelCase    (   UpperCAmelCase_   :    str      ,							UpperCAmelCase_   :    str  )							->      str:

	'''simple docstring'''





	__snake_case      :							Optional[int]						=			generate_table(UpperCAmelCase_  )
	__snake_case      :							Any						=			''

	# https://en.wikipedia.org/wiki/Playfair_cipher#Description
	for chara, chara in chunker(UpperCAmelCase_      ,							2  ):
		__snake_case		,    __snake_case      :							Union[str, Any]						=			divmod(table.index(UpperCAmelCase_  )      ,							5  )
		__snake_case		,    __snake_case      :							Tuple						=			divmod(table.index(UpperCAmelCase_  )      ,							5  )

		if rowa == rowa:
			plaintext += table[rowa * 5 + (cola - 1) % 5]
			plaintext += table[rowa * 5 + (cola - 1) % 5]
		elif cola == cola:
			plaintext += table[((rowa - 1) % 5) * 5 + cola]
			plaintext += table[((rowa - 1) % 5) * 5 + cola]
		else:  # rectangle
			plaintext += table[rowa * 5 + cola]
			plaintext += table[rowa * 5 + cola]

	return plaintext





