The logic circuit shown in the diagram directly implements which of the Boolean expressions given below?

Question $12$ options:

$(($x $+$ y$\text{'})+$ y $+($x $+$ y$\text{'})\text{'})$

$(($xy$\text{'})+$ y$($xy$\text{'}))$

$(($x $+$ y$\text{'})$y $+($x $+$ y$\text{'}))\text{'}$

$(($xy$)\text{'}+$ y$($xy$)\text{'})\text{'}$