Consider the following $SDT$ for type declarations:

$PMD$

$Mlon,\{$ offset $=0$;$\}$

$DTid$ ; $\{top.$put$(id.$lexeme, $T.$type, offset$)$;

offset $=$ offset $+T.$ width ;$\}$

$Dlon$

$T$ record $\text{'}\{\text{'}\{Env.$push$(top)$; top $=$ new Env$()$;

Stack.push $(offset)$; offset $=0$;$\}$

$D^{\text{'}}{\}}^{\text{'}}\{T.$type $=$record$($ top $)$; $T.$width $=$ offset;

top $=$ Env.pop $()$; offset $=$ Stack.pop $()$;$\}$

$TB$

$\{t=B.$type ;$w=B.$width ;$\}$

$C$

$\{T.$type $=C.$type ; $T.$ width $=C.$ width; $\}$

$B$ int

$\{B.$type $=$ integer ; $B.$width $=4$;$\}$

$B$ float

$\{B.$type $=$ float ; $B.$width $=8$;$\}$

$Clon$

$\{C.$type $=t$; $C.$width $=w$;$\}$

$C[$

$um]C_1$

$\{\begin{array}{ccc}& C.\text{t}\text{y}\text{p}\text{e}=\text{a}\text{r}\text{r}\text{a}\text{y}(\text{n}\text{u}\text{m}\text{.}\text{v}\text{a}\text{l}\text{u}\text{e}\text{,}{C}_1*\text{t}\text{y}\text{p}\text{e}& )\text{;}\end{array}$

$C.$width $\{$:$=$ num.value $C_1.$width ;$\}$

Fig $1$: SDT for type declaration

a$.$ Determine the types and relative addresses for the identifiers

in the following declaration by drawing the annotated parse tree and

evaluating the attribute values of each non$-$ terminal of the SDT:

record float $[2][3]a$; int $b$;