Using the provided CFG$,$ list all simple paths. you should produce:

$7$ simple paths of length $0$

$9$ simple paths of length $1$

$14$ simple paths of length $2$

$18$ simple paths of length $3$

$8$ simple paths of l;ength $4$

Using your simple paths, list all prime paths.

You should produce:

$1$ prime path of length $2$

$10$ prime paths of length $3$

$8$ prime paths of length $4.$