Consider the following syntax-directed definition (SDD). Given "MMLK" as the input, which one of the following options is the CORRECT value computed by the SDD (in the attribute $S.val$)?

To find $S.val$ for the input string "MMLK", we parse the input according to the grammar $S \rightarrow D\,H\,T\,U$ [cite: 7]:

1. Evaluating $D$ for substring "MM":

   • $D \rightarrow \text{"M"}\,D_1$

   • $D_1 \rightarrow \text{"M"}\,D_2$

   • $D_2 \rightarrow \epsilon \implies D_2.val = -5$

   • $D_1.val = 5 + D_2.val = 5 + (-5) = 0$

   • $D.val = 5 + D_1.val = 5 + 0 = 5$

2. Evaluating $H$ for substring "L":

   • $H \rightarrow \text{"L"}\,H_1$

   • $H_1 \rightarrow \epsilon \implies H_1.val = -10$

   • $H.val = 5 \times 10 + H_1.val = 50 + (-10) = 40$

3. Evaluating $T$ for substring $\epsilon$:

   • $T \rightarrow \epsilon \implies T.val = -5$

4. Evaluating $U$ for substring "K":

   • $U \rightarrow \text{"K"} \implies U.val = 5$

5. Evaluating $S.val$:

   $$S.val = D.val + H.val + T.val + U.val$$

   $$S.val = 5 + 40 + (-5) + 5 = 45$$

Therefore, the correct option is (A).