# Suppose that instead of doubling the size of an array-based stack when it becomes full, you just…

Suppose that instead of doubling the size of an array-based stack when it becomes full, you just increase the size of the array by some positive constant k.

a. If you have an empty stack that uses an array whose initial size is k, and you perform n pushes, how many resize operations will be performed? Assume that n > k.

b. What is the average cost of the n push operations?

Suppose that instead of doubling the size of an array-based stack when it becomes full, you increase the size of the array by the following sequence 3k, 5k, 7k, 9k, … for some positive constant k.

a. If you have an empty stack that uses an array whose initial size is k, and you perform n pushes, how many resize operations will be performed? Assume that n > k.

b. What is the average cost of the n push operations?

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