$(3$ points$)$ Section $7\mathrm{.}2$ Ouestion $7$:

Construct an npda corresponding to the grammar:

$S$aABB$|aAA|$

$A$aBB$|b|$

$BbBB|A|$

Greibach normal form:

$S$aABB$|aAA|$

$A$aBB$|b|$

$BbBB|aBB|b$