Consider the following expression: $x[i] = (p + r) * -s[i] + \frac{u}{w}$. The following sequence shows the list of triples representing the given expression, with entries missing for triples (1), (3), and (6).

(0)	+	p	r
(1)
(2)	uminus	(1)
(3)
(4)	/	u	w
(5)	+	(3)	(4)
(6)
(7)	=	(6)	(5)

Which one of the following options fills in the missing entries CORRECTLY?

Consider the following syntax-directed definition (SDD).

S → DHTU	{ S.val = D.val + H.val + T.val + U.val; }
D → “M” D1	{ D.val = 5 + D1.val; }
D → ε	{ D.val = –5; }
H → “L” H1	{ H.val = 5 * 10 + H1.val; }
H → ε	{ H.val = –10; }
T → “C” T1	{ T.val = 5 * 100 + T1.val; }
T → ε	{ T.val = –5; }
U → “K”	{ U.val = 5; }

Given “MMLK” as the input, which one of the following options is the CORRECT value computed by the SDD (in the attribute S.val)?

Consider the syntax directed translation given by the following grammar and semantic rules. Here N, I, F and B are non-terminals. N is the starting non-terminal, and #, 0 and 1 are lexical tokens corresponding to input letters "#", "0" and "1", respectively. X.val denotes the synthesized attribute (a numeric value) associated with a non-terminal X. I$$_1$$ and F$$_1$$ denote occurrences of I and F on the right hand side of a production, respectively. For the tokens 0 and 1, 0.val = 0 and 1.val = 1.

$\begin{array}{llll}N & \rightarrow & I \# F & \text { N.val }=I . v a l+F . v a l \\ I & \rightarrow & I_1 B & I . v a l=\left(2 I_1 \cdot v a l\right)+\text { B.val } \\ I & \rightarrow & B & I . v a l=B . v a l \\ F & \rightarrow & B F_1 & F . v a l=\frac{1}{2}\left(B . v a l+F_1 \cdot v a l\right) \\ F & \rightarrow & B & F . v a l=\frac{1}{2} B . v a l \\ B & \rightarrow & 0 & \text { B.val }=\mathbf{0} . \mathrm{val} \\ B & \rightarrow & 1 & \text { B.val }=\mathbf{1} . \mathrm{val}\end{array}$

The value computed by the translation scheme for the input string

$$10 \# 011$$

is ____________. (Rounded off to three decimal places)

Consider the following grammar along with translation rules.

S $$\to$$ S₁ # T {S.val = S₁.val * T.val}

S $$\to$$ T {S.val = T.val}

T $$\to$$ T₁ %R {T.val = T₁.val $$ \div $$ R.val}

T $$\to$$ R {T.val = R.val}

R $$\to$$ id {R.val = id.val}

Here # and % are operators and id is a token that represents an integer and id.val represents the corresponding integer value. The set of non-terminals is {S, T, R, P} and a subscripted non-terminal indicates an instance of the non-terminal. Using this translation scheme, the computed value of S.val for root of the parse tree for the expression 20#10%5#8%2%2 is ___________.