$2.$ The syntax of the Dinosaur language is quite simple, but only True Dinosaurs can speak it without making mistakes. The alphabet of the language is

$\{$a$,$ b$,$ d$,$ #$\}$ where # stands for a space.

The grammar is

$->|$ #

$->|$

$->||$ a $|$ a

$->$ a

$->$ b $|$ d

Below are statements from a list of speakers. Which of the speakers are not a true Dinosaur $?$ Explain your answers for each dinosaur statement $(40$ pts$)$

Dinosaur : Statement

Dino : abdabaadab#ada

Barney : c

Rex : ba#ababadada#bad#dabbada

Godzilla : dad#ad#abaadad#badadbaad