Exercise $5($Ex$.12,$ Chapter $2$ of $[$Martin; $2011]).$

For each of the following languages, draw an FA accepting it$.$

a$.\{a,b{\}}^{**}\{a\}$

b$.\{bb,ba{\}}^{**}$

c$.\{a,b{\}}^{**}\{b,aa\}\{a,b{\}}^{**}$

d$.\{bbb,$baa${\}}^{**}\{a\}$

e$.\{a\}\{b\}\{a{\}}^{**}\{a\}\{b{\}}^{**}\{a\}$

f$.\{a,b{\}}^{**}\{ab,$bba$\}$

g$.\{b,$bba${\}}^{**}\{a\}$

h$.\{aba,aa{\}}^{**}\{ba{\}}^{**}$