Show the annotated parse tree and evaluate the expression using syntax directed translation $($top$-$down or bottom$-$up$)$

$LEn\{L.$val $=E.$val $\}$

$EE1+T\{E.$val$=E1.$val$+T.$val $\}$

$ET\{E.$val $=T.$val $\}$

$TT1*F\{T.$val $=T1.$val $*F.$val $\}$

$TF\{T.$val $=F.$val $\}$

$Fid\{F.$val $=id.lexica{l}_v$alue $\}$

Evaluate for input $3^{**}5+4$