Let $M_1=(Q,,,,q0,Z_0,F)$ be a Pushdown Automaton that accepts by empty stack. To construct $M_2=(Q_{}\{q_0^{\text{'}},qf\},,\{x_0\},,q{0}^{\text{'}},x_{0,}\{q_t\})$ that accepts by final states. Which of the following should be added?

${}^{\text{'}}(q_0,,x_0)=\{(q_0,Z_0{x}_0)\}$

${}^{\text{'}}(q,a,Z)$ includes all the elements of $(q,a,Z)$ for all qinQ,ain$\{\}$ and Zin$.$

${}^{\text{'}}(q_f,,x_0)$ contains $(qq,).$

For all qinQ,${}^{\text{'}}(q,,x_0)$ contains $(q_f,).$

For all qinQ,${}^{\text{'}}(qi,,x_0)$ contains $(q,).$

$1,2$ and $3$

$2,3$ and $5$

$1,3$ and $5$

$1,2$ and $4$