





"""simple docstring"""






def       __A (     a_  :list				,    a_  :int				,    a_  :int = 0				,    a_  :int = 0)						->						int:
				__a	:  Optional[Any]         =					right or len(a_) - 1
				if left > right:
								return -1
				elif list_data[left] == key:
								return left
				elif list_data[right] == key:
								return right
				else:
								return search(a_				,    a_				,    left + 1				,    right - 1)


if __name__ == "__main__":
		import doctest

		doctest.testmod()






"""simple docstring"""






def       __A (     a_  :int				,    a_  :int)						->						str:
				if a < 0 or b < 0:
								raise ValueError('''the value of both inputs must be positive''')

				__a	:  Union[str, Any]         =					str(bin(a_))[2:]  # remove the leading "0b"
				__a	:  Union[str, Any]         =					str(bin(a_))[2:]  # remove the leading "0b"

				__a	:  Optional[Any]         =					max(len(a_)				,    len(a_))

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


if __name__ == "__main__":
		import doctest

		doctest.testmod()