Ambiguity $[4+3+3=10$ pts$]$

For each of the following grammars, determine whether it is ambiguous or unambiguous. If

the grammar is ambiguous, explain with an example string demonstrating the ambiguity.

Additionally, provide an equivalent unambiguous grammar. If the grammar is unambiguous,

specify any precedence and associativity rules it enforces, where applicable.

$1.$ S $->$ aSb $|$ B

B $->$ aB $|$ b $|\backslash$epsi

$2.$ E $->$ E $-$ T $|$ id

T $->$ T $+$ F $|$ id

F $->$ id

$3.$ E $->$ F $$ E $|$ F $$ E $|$ F

F $->$ F $\backslash$geocircle G $|$ G

G $->($ E $)|$ n