Wow! This problem is kind of tricky. If you're ready to put your thinking cap on, brace yourself, and good luck! Otherwise, you can skip it for now and return any time later.
Assume you have a dynamic array with an initial size and capacity of 2, and the scaling factor is 2. What is the minimum number of additional elements you need to insert to increase the capacity to 1024?
Note: We are asking for the number of additional elements required to reach a capacity of 1024, not the total number of elements when the capacity becomes 1024.