



"""simple docstring"""





from functools import reduce

__lowerCAmelCase       :					Optional[Any]      					=					(
    '''73167176531330624919225119674426574742355349194934'''
    '''96983520312774506326239578318016984801869478851843'''
    '''85861560789112949495459501737958331952853208805511'''
    '''12540698747158523863050715693290963295227443043557'''
    '''66896648950445244523161731856403098711121722383113'''
    '''62229893423380308135336276614282806444486645238749'''
    '''30358907296290491560440772390713810515859307960866'''
    '''70172427121883998797908792274921901699720888093776'''
    '''65727333001053367881220235421809751254540594752243'''
    '''52584907711670556013604839586446706324415722155397'''
    '''53697817977846174064955149290862569321978468622482'''
    '''83972241375657056057490261407972968652414535100474'''
    '''82166370484403199890008895243450658541227588666881'''
    '''16427171479924442928230863465674813919123162824586'''
    '''17866458359124566529476545682848912883142607690042'''
    '''24219022671055626321111109370544217506941658960408'''
    '''07198403850962455444362981230987879927244284909188'''
    '''84580156166097919133875499200524063689912560717606'''
    '''05886116467109405077541002256983155200055935729725'''
    '''71636269561882670428252483600823257530420752963450'''
)
def 	__lowerCAmelCase						(		__UpperCamelCase      :			str = N    ):


						'''simple docstring'''






						return max(
						    # mypy cannot properly interpret reduce
						    int(reduce(lambda __UpperCamelCase					, __UpperCamelCase    : str(int(__UpperCamelCase    ) * int(__UpperCamelCase    )    )					, n[i : i + 1_3]    )    )
						    for i in range(len(__UpperCamelCase    ) - 1_2    )    )


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






"""simple docstring"""





def 	__lowerCAmelCase						(		__UpperCamelCase      :			int					, __UpperCamelCase      :			int    ):


						'''simple docstring'''






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

						snake_case_   : List[str]						=			str(bin(__UpperCamelCase    )    )[2:]  # remove the leading "0b"
						snake_case_   : Union[str, Any]						=			str(bin(__UpperCamelCase    )    )[2:]  # remove the leading "0b"

						snake_case_   : int						=			max(len(__UpperCamelCase    )					, len(__UpperCamelCase    )    )

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


if __name__ == "__main__":
					import doctest

					doctest.testmod()

