We are given an integer A that represents a bit-vector set containing N elements (N is an even number, greater than 0, and we know its value).

How can we break up A into two smaller numbers X and Y, representing two other bit-vector sets, so that each contains exactly half of the N elements?

A doesn't need to remain intact after the operations.

Explain your approach and its best and worst case time complexities. You must define your input variables and provide an explanation as part of your complexity analysis.