Give a formal proof that any sequence of n push or pop operations (that is, insertions or deletions at the end) on an initially empty dynamic array takes O(n) time, if using the strategy described in Exercise C-7.29.
Revise the array list implementation given in Section 7.2.1 so that when the actual number of elements, n, in the array goes below N/4, where N is the array capacity, the array shrinks to half its size.
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