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1. If the set of stack operations included a MULTIPUSH operation, which pushes k items onto the stack, would the O(1) bound on the amortized cost of stack operationscontinue to hold?
2. Show that if a DECREMENT operation were included in the k-bit counter example, n operations could cost as much as Θ(nk) time.
3. Suppose we perform a sequence of n operations on a data structure in which the i th operation costs i if i is an exact power of 2, and 1 otherwise. Use aggregate analysis to determine the amortized cost per operation.

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