



"""simple docstring"""





def 	__lowerCAmelCase						(		__UpperCamelCase      :			int = 1_0    ):


						'''simple docstring'''






						if not isinstance(__UpperCamelCase					, __UpperCamelCase    ) or n < 0:
												raise ValueError("""Invalid input"""    )
						snake_case_   : Dict						=			1_0**n
						snake_case_   : List[Any]						=			2_8_4_3_3 * (pow(2					, 7_8_3_0_4_5_7					, __UpperCamelCase    )) + 1
						return str(number % modulus    )


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					print(F'''{solution(10) = }''')






"""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()

