Consider the augmented grammar with \(\{+,* , (, ), id\}\) as the set of terminals. \[ S' \rightarrow S \] \[ S \rightarrow S + R \mid R \] \[ R \rightarrow R^{\,*} P \mid P \] \[ P \rightarrow (S) \mid id \] If \(I_0\) is the set of two LR(0) items \(\{[S' \rightarrow S.], [S \rightarrow S. + R]\}\), then \(goto(\text{closure}(I_0), +)\) contains exactly \(\underline{\hspace{1cm}}\) items.
Consider the following context-free grammar where the set of terminals is \(\{a,b,c,d,f\}\):
\[ S \rightarrow daT \mid Rf \] \[ T \rightarrow aS \mid baT \mid \epsilon \] \[ R \rightarrow caTR \mid \epsilon \] The following is a partially-filled LL(1) parsing table. 
Which one of the following choices represents the correct combination for the numbered cells in the parsing table ("blank" denotes that the corresponding cell is empty)? 
Consider the following augmented grammar with terminals {#, @, <, >, a, b, c}.
$S' → S$
$S → S\#cS$
$S → SS$
$S → S@$
$S → <S>$
$S → a$
$S → b$
$S → c$
Let I0 = CLOSURE({ S' → • S }). The number of items in the set GOTO(GOTO(I0, <), <) is .