Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 17.1, Problem 1E
Program Plan Intro

To decide whether it is possible to push k items onto the stack would require O(1) time on the amortized cost of the stack operations by using the MULTIPUSH operation.

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Suppose an initially empty stack, S, has performed a total of 75 push() operations, 5 peek() operations and 10 pop operations, 4 of which returned null to indicate an empty stack. What is the current size of the stack, S? (Explain your answer/Show your workings)
Given the following sequence of characters: DA&T!A ST*R&U!CT!&UR*ES. Consider the stack data structure, supporting two operations push and pop. Suppose that for the above sequence, each letter (such as DATA STRUCTURES) corresponds to a push of that letter onto the stack, each exclamation mark(!) corresponds one pop operation on the stack, each ampersand (&) corresponds one peep operation on the stack and each asterisk (*) corresponds two pop operations on the stack. Show the sequence of values returned by the pop operations. Also, display the remaining elements in the stack after all the push and pop operations.
Please answer #2 for me. Write CLEARLY please. Consider a standard stack data structure with a push and popoperation. What would be the exact complexity (not Big O) to print alln items in some stack and return it to its original order when finished? Lay out your assumptions and solution process in your answer.
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