Suppose $L_1$ is represented by $0^{*}(0^{*}{1}^{*})$ and $L_2$ is represented by $(01{)}^{*}{0}^{*}.$ Construct an NFA for each of the languages then answer the following true$/$false questions below, justifying your answers.

a$)L_{1}sub{L}_2,$

b$)L_{2}sub{L}_1,$

c$)L_1=L_2.$