Let's start with the dynamic array we discussed in class again. Assume that PushBack doubles the capacity, if necessary, as in the lecture. Let's imagine we add support to our dynamic array for a new operation PopBack $($which removes the last element$),$ and that PopBack never reallocates the associated dynamically$-$allocated array. Calling PopBack on an empty dynamic array is an error.

If we have a sequence of $24$ operations on an empty dynamic array: $12$ PushBack and $12$ PopBack, we clearly end with a size of $0.$ Please fill out the following table.