A sequential network has three flip$-$flops $($ D type$),$ one input $($ x $),$ and one output $($z$)$ with:

$D1=Q2Q^{\text{'}}$

$D2=Q3$

$D3=Q{2}^{\text{'}}+x$

$Z=xQ{2}^{\text{'}}+Q2x$

Construct the state diagram for the network.