Consider the following CFG$,$ G:

$SA|B|$

$AxY|$

$B0B1|0Z1|01$

$x0x1|$

$Y0Y1|$

$Z1Z0|$

Let $M$ be the augmented PDA constructed from $P$ as described in Chapter $2$ Section

$2$ Video $5$ and in the text $($pages $117-121).$ Which of the following is a potential value

for M$\text{'}$s stack after $5$ steps into an accepting computation of $000111000111$ in M$,$

where the first character of the strings below is the bottom of the stack and the last

character is the top of the stack?

Select all that apply.

Note: The first transition pushes $$S$ onto the stack and the second transition will

replace $S$ with either $A$ or $B.$ A transition that pushes multiple characters onto the

stack is considered as a single step in the computation. Also, a transition that reads a

terminal and removes the same terminal from the stack is a single computation.

Options:

$$11$B$0$

$Y$1$X$0$

$Y$1$X

$$0$X$1$Y

$$00$B$1$