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

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Question $5$ options:

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

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

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

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