Consider QuickSort on the array A[1:n] and assume that the pivot element x (used to split the array A[lo:hi] into two portions such that all elements in the left portion A[lo:m] are â¤x and all elements in the right portion A[m:hi] are â¥x) is the last element of the array to be split (i. e., A[hi]). Construct an infinite sequence of numbers for n and construct an assignment of the numbers 1...n to the n array elements that causes QuickSort, with the stated choice of pivot, to a. execute optimally (that is A[lo:m] and A[m:hi] are always of equal size)
b. execute in the slowest possible way.

Solution: the categorization of functional and non-functional requirement are as follows: some of the more typical functional requirements include: • business rules• transaction corrections, adjustments and cancellations• administrative functions• authentication• authorization levels• audit tracking• external interfaces• certification requirements• reporting requirements• historical data• legal or regulatory requirementswhile,some typical non-functional requirements are: • performance – for example response time, throughput, utilization, static volumetric• scalability• capacity• availability• reliability• recoverability• maintainability• serviceability• security• regulatory• manageability• environmental• data integrity• usability• interoperability