





'''simple docstring'''


def 	__a(SCREAMING_SNAKE_CASE_  :					Optional[int]		,       SCREAMING_SNAKE_CASE_  :					Optional[int]    ):



    '''simple docstring'''





    if a < 0 or b < 0:
        raise ValueError("the value of both inputs must be positive"    )

    _lowerCAmelCase				=      str(bin(_lowerCAmelCase    )    )[2:]  # remove the leading "0b"
    _lowerCAmelCase				=      str(bin(_lowerCAmelCase    )    )[2:]  # remove the leading "0b"

    _lowerCAmelCase				=      max(len(_lowerCAmelCase    )		,       len(_lowerCAmelCase    )    )

    return "0b" + "".join(
        str(int(char_a != char_b    )    )
        for char_a, char_b in zip(a_binary.zfill(_lowerCAmelCase    )		,       b_binary.zfill(_lowerCAmelCase    )    )    )


if __name__ == "__main__":
       import doctest

       doctest.testmod()











'''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() = }''')


