Given the following NFA $M=(Q_N,,{}_N,q_N,F_N).$

a$)$ Following exactly the construction presented in class that proves that for every NFA there exists an equivalent DFA, describe DFA

$A_D=(Q_D,,{}_D,q_D,F_D)$ with $L(A_D)=L(M)$ by giving $Q_D,{}_D,q_D$ and $F_D.$ Here, describe ${}_D$ in form of a transition table.

b$)$ How does the transition table change if the state diagram would have an additional $lon-$transition from $q_3$ to $q_4?$