Let $M$ be the NFA$-$

a$)$ Compute $-$closure $(q_i)$ for $i=0,1,2,3.$

b$)$ 'Give the input transition function $t$ for $M.$

c$)$ Use Algorithm $5\mathrm{.}6\mathrm{.}3$ to construct a state diagram of a DFA that is equivalent to M$.$

d$)$ Give a regular expression for $L(M).$