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 : ________.

Which one of the following correctly determines the solution of the recurrence relation with T(1) = 1?
T(1) = 2T (n/2) + log n

Let P be a QuickSort Program to sort numbers in ascending order using the first element as pivot. Let t₁ and t₂ be the number of comparisons made by P for the inputs {1, 2, 3, 4, 5} and {4, 1, 5, 3, 2} respectively. Which one of the following holds?

You have an array of n elements. Suppose you implement quicksort by always choosing the central element of the array as the pivot. Then the tightest upper bound for the worst case performance is