Question

magine that you are designing an application where you need to perform the operations Insert, DeleteMaximum, and Delete Minimum. For this application, the cost of inserting is not important, because itcan be done off-line prior to startup of the time-critical section, but the performance of the two deletionoperations are critical. Repeated deletions of either kind must work as fast as possible. Suggest a datastructure that can support this application, and justify your suggestion. What is the time complexity foreach of the three key operations

Answer 1

Use the stack data structure with both best-case and worst-case time complexity of O(1) for insertion and deletion of elements.

Step-by-step explanation:

The stack data structure is used in programs to hold data for which the last data in the stack is always popped out first when retrieving the data sequentially, that it, first-in, last-out.

The elements in the stack are located in an index location, which means that they can be retrieved directly by choice with constant time complexity of 1 or O(1) for best and worst-case.

So inserting, and deleting the minimum and maximum elements in the stack data structure executes at a speed of the constant 1 (big-O notation, O(1) ).