





'''simple docstring'''


import itertools
import string
from collections.abc import Generator, Iterable


def 	__a(SCREAMING_SNAKE_CASE_  :					Iterable[str]		,       SCREAMING_SNAKE_CASE_  :					int    ):



    '''simple docstring'''





    _lowerCAmelCase				=      iter(SCREAMING_SNAKE_CASE_    )
    while True:
        _lowerCAmelCase				=      tuple(itertools.islice(SCREAMING_SNAKE_CASE_		,       SCREAMING_SNAKE_CASE_    )    )
        if not chunk:
            return
        yield chunk


def 	__a(SCREAMING_SNAKE_CASE_  :					str    ):



    '''simple docstring'''





    _lowerCAmelCase				=      "".join([c.upper() for c in dirty if c in string.ascii_letters]    )
    _lowerCAmelCase				=      ""

    if len(SCREAMING_SNAKE_CASE_    ) < 2:
        return dirty

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

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

    clean += dirty[-1]

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

    return clean


def 	__a(SCREAMING_SNAKE_CASE_  :					str    ):



    '''simple docstring'''





    _lowerCAmelCase				=      "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
    _lowerCAmelCase				=      []

    # 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(SCREAMING_SNAKE_CASE_    )

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

    return table


def 	__a(SCREAMING_SNAKE_CASE_  :					str		,       SCREAMING_SNAKE_CASE_  :					str    ):



    '''simple docstring'''





    _lowerCAmelCase				=      generate_table(SCREAMING_SNAKE_CASE_    )
    _lowerCAmelCase				=      prepare_input(SCREAMING_SNAKE_CASE_    )
    _lowerCAmelCase				=      ""

    # https://en.wikipedia.org/wiki/Playfair_cipher#Description
    for chara, chara in chunker(SCREAMING_SNAKE_CASE_		,       2    ):
        _lowerCAmelCase			,			_lowerCAmelCase				=      divmod(table.index(SCREAMING_SNAKE_CASE_    )		,       5    )
        _lowerCAmelCase			,			_lowerCAmelCase				=      divmod(table.index(SCREAMING_SNAKE_CASE_    )		,       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 	__a(SCREAMING_SNAKE_CASE_  :					str		,       SCREAMING_SNAKE_CASE_  :					str    ):



    '''simple docstring'''





    _lowerCAmelCase				=      generate_table(SCREAMING_SNAKE_CASE_    )
    _lowerCAmelCase				=      ""

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









'''simple docstring'''


import math


def 	__a(SCREAMING_SNAKE_CASE_  :					int = 100    ):



    '''simple docstring'''





    _lowerCAmelCase				=      sum(i * i for i in range(1		,       n + 1    )    )
    _lowerCAmelCase				=      int(math.pow(sum(range(1		,       n + 1    )    )		,       2    )    )
    return square_of_sum - sum_of_squares


if __name__ == "__main__":
       print(f'''{solution() = }''')


