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

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

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

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

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