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

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

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

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

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