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?

Which of the following statement(s) is / are correct regarding Bellman-Ford shortest path algorithm?
P: Always finds a negative weighted cycle, if one exist s.
Q: Finds whether any negative weighted cycle is reachable from the source.

The usual $$\Theta ({n^2})$$ implementation of Insertion Sort to sort an array uses linear search to identify the position where an element is to be inserted into the already sorted part of the array. If, instead, we use binary search to identify the position, the worst case running time will

The solution to the recurrence equation
T(2^k) = 3 T(2^k-1) + 1, T (1) = 1, is: