GATE CS 2021 Set 1 Q31 — Parsing (LL, LR)

Consider the following context-free grammar where the set of terminals is $\{a,b,c,d,f\}$. $$\begin{array}{lll} \text{S} & \rightarrow & d \: a \: \text{T} \mid \text{R} \: f \\ \text{T} & \rightarrow & a \: \text{S} \: \mid \: b \: a \: \text{T} \: \mid \epsilon \\ \text{R} & \rightarrow & c \: a \: \text{T} \: \text{R} \: \mid \epsilon \end{array}$$

The following is a partially-filled $\textsf{LL(1)}$ parsing table.$$\begin{array} {c c c } & a & b & c & d & f & \$ \\ \hline \text{S} & & & \boxed{1} & \text{S} \rightarrow da \text{T} & \boxed{2} & \\ \hline \text{T} & \text{T} \rightarrow a\text{S} & \text{T} \rightarrow ba\text{T} & \boxed{3} & & \text{T} \rightarrow \varepsilon & \boxed{4}\\ \hline \text{R} & & & \text{R} \rightarrow ca\text{T}\text{R} & & \text{R} \rightarrow \varepsilon & \end{array}$$ 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)?