Construct the LR$(1)$ items for the given grammar G and Construct a CLR and LALR parsing table from the LR$(1)$ items constructed above.

G $=($V$,$ T$,$ P$,$ S$)$

V $=\{$ A$,$ B$\}$

T $=\{$ a$,$ b$\}$

S $=$ A

P $=\{$ A$->$BB$,$

$$B$->$bB$,$

$$B$->$a $\}$

Check whether the input string$$bbaa$$can be parsed using the CLR parsing table.