Convert each of the following NFAs to the corresponding DFAs:

$(\{q_1,q_2,q_3,q_4\},\{0,1\},,q_1,\{q_4\}),$ where $$ is defined by the following table:

$(\{q_1,q_2,q_3\},\{a,b\},,q_1,\{q_2\}),$ where $$ is defined by the following table:

Obtain an equivalent DFA for each of the following DFAs that has the minimal number of states:

$A_1=(\{a,b,c,d,e,f\},\{0,1\},,a,\{c,d,e\}),$ where $$ is defined by the following table:

$A_2=(\{1,2,3,4,5\},\{a,b\},,1,\{1,5\}),$ where $$ is defined by the following table: