Consider a sequence of 14 elements : A = [-5, -10, 6, 3, -1, -2, 13, 4, -9, -1, 4, 12, -3, 0]. The subsequence sum $$S\left( {i,j} \right) = \sum\limits_{k = 1}^j {A\left[ k \right]} $$. Determine the maximum of S(i, j), where 0 ≤ i ≤ j < 14. (Divide and conquer approach may be used)

Answer : ________.

An array of 25 distinct elements is to be sorted using quicksort. Assume that the pivot element is chosen uniformly at random. The probability that the pivot element gets placed in the worst possible location in the first round of partitioning (rounded off to 2 decimal places) is ______.

Consider the augmented grammar given below :

S' → S
S → 〈L〉 | id
L → L,S | S

Let I₀ = CLOSURE ({[S' → ●S]}). The number of items in the set GOTO (I₀ , 〈 ) is: _____.

Consider the grammar given below:

S → Aa

A → BD

B → b | ε

D → d | ε

Let a, b, d, and $ be indexed as follows:
Compute the FOLLOW set of the non-terminal B and write the index values for the symbols in the FOLLOW set in the descending order. (For example, if the FOLLOW set is {a, b, d, $}, then the answer should be 3210)