Consider the following syntax-directed definition $\text{(SDD)}$.
| $S \rightarrow D H T U$ | $ \left\{S.v a l = D.val + H.val + T.val + U.val\right\};$ |
| $D \rightarrow ^{"} \mathrm{M}^{"} D_1$ | $\left\{D.val =5+D_{1}.val \right\};$ |
| $D \rightarrow \epsilon$ | $\left\{D.val = -5 \right\};$ |
| $H \rightarrow ^{"}\mathrm{L}^{"} H_1$ | $\left\{H.val = 5^{*} 10+H_{1}.v a l\right\};$ |
| $H \rightarrow \epsilon$ | $\left\{H.val = -10 \right\};$ |
| $T \rightarrow \text {"C" } T_1$ | $\left\{T.v a l=5^{*} 100+T_{1}. val;\right\};$ |
| $T \rightarrow \epsilon$ | $\left\{T . v a l= - 5\right\};$ |
| $U \rightarrow$ "K" | $\left\{U . v a l = 5 \right\};$ |
Given $\text{"MMLK"}$ as the input, which one of the following options is the $\text{CORRECT}$ value computed by the $\text{SDD}$ (in the attribute $S.val$)?
- $45$
- $50$
- $55$
- $65$
