Exercise $9.$ Consider the following context$-$free grammar: $(20$ pts$)$

S $->$ E

E $->$ E $+$ T $|$ E $-$ T $|$ T

T $->$ T $$ F $|$ T $/$ F $|$ F

F $->$ P $$ F $|$ P

P $->$ ~ P $|$ M

M $->0|1|2|3|4|5|6|7|8|9$

M $->($ E $)$

Show a left$-$most derivation and a right$-$most derivation, including each step $(3$ pts each$)$ and the parse tree $(2$ pts each$)$ for the following statement:

$1.5-28/3+624$