Draw logic diagrams of the circuits that implement following expressions with the minimum number of literals:

$($A$)$ F$3=$ x$\text{'}$y$($x$+$z$)+$ x$$y $+$ xyz

s$($B$)$ F$4=($x$+$z$)($x$+$y$+$z$)($x$+$y$+$z$)$