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C++ Programming: From Problem Analysis to Program Design

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter18: Stacks And Queues

Section: Chapter Questions

Problem 1TF

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3. A stack can be implemented with an array A[0..N-1] and a variable pos. The
push and pop operations are defined by the following code.
push (x)
A[pos] + x
1.
pos + pos
end push
pop ()
pos + pos + 1
return A[pos]
end pop
Which of the following will initialize an empty stack with capacity N for this
implementation?

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Q3:- Consider an empty stack STK of size 5 (array-based implementation). What will be the output after applying the following stack operations? Draw a diagram in support of your answer. How many elements are there in the stack at the end of the processing? POP(), PUSH(25), PUSH(20), POP(), POP(), PUSH(45), PUSH(15), POP(), PUSH(30), PUSH(17), PUSH(33), PUSH(24), PUSH(54), POP(), PUSH(99)
Write a program to implement a Stack using array. In order to implement the stack, programfor following stack operations has to be written: • void push(int): to insert data onto the stack.• Int pop(): to remove and return the last inserted element from the stack.• Int top(): Returns the last inserted element without removing it.• int Size(): Returns the number of elements stored in the stack.• int IsEmptyStack(): Indicates whether any elements are stored in the stack or not.• int IsFullStack(): Indicates whether the stack is full or not.
Consider a “superstack” data structure which supports four operations: create, push, pop, andsuperpop. The four operations are implemented using an underlying standard stack S as shownbelow.def create():S = Stack.create()def push(x):S.push(x)def pop():return S.pop()def superpop(k,A): // k is an integer, A is an array with size >= ki = 0while i < kA[i] = S.pop()i = i + 1Show that each of these operations uses a constant amortized number of stack operations. In yoursolution:• Define your potential function Φ.• State, for each operation, its actual time, the change in potential, and the amortized time.3. Suppose we add a superpush operation to the superstack from Problem 2. The superpush operationis defined as follows:def superpush(k,A): // k is an integer, A is an array with size >= ki = 0while i < kS.push(A[i])i = i + 1Is it still true that each of the superstack operations uses a constant amortized number of stackoperations? Answer YES or NO.• If your answer is YES, give an…
You may operate on a stack WORK and a temporary stack TEMP (if necessary) to enable its ADT operations of PUSH (S,X), POP (S, X), and EMPTYSTACK (S), where X represents an element/variable to be pushed into or popped out of the stack and S represents a stack. You may also utilise one variable to carry out the procedures if necessary. I Given n different random integers to be pushed into WORK, how can you determine the maximum element pushed into it while ensuring that the items placed in WORK are in decreasing order, with the maximum element beginning at the bottom of the stack? You may utilise a single variable and the temporary stack TEMP. ii) Given an array A[1: n] of different random numbers, how can you extract the array's sorted list using only stacks?
A SpecialStackTM is a stack modified to support the following two operations: PUSHCLEAR(v) successively pops consecutive items from the top of the stack that are less than u, then pushes v onto the stack. POP() deletes the item at the top of the stack. Assume these operations are implemented using a singly-linked list. PUSHCLEAR(v) iter- ates through the linked list to pop the applicable items and then adds v to the beginning. POP() deletes the first item. (a) Describe the ordering of values on the stack. (b) Explain how a single call to PUSHCLEAR(V) could take (n) time. (c) If we assume that every operation takes linear time, we get a naive bound of O(n²) on the total runtime. But this doesn't consider the fact that these expensive operations happen infrequently so let's analyze it more closely. Show that any sequence of n operations takes O(n) time. -
Imagine a (literal) stack of plates. If the stack gets too high, it might topple.Therefore, in real life, we would likely start a new stack when the previous stack exceeds somethreshold. Implement a data structure SetOfStacks that mimics this. SetOfStacks should becomposed of several stacks and should create a new stack once the previous one exceeds capacity.SetOfStacks. push() and SetOfStacks. pop() should behave identically to a single stack(that is, pop () should return the same values as it would if there were just a single stack).FOLLOW UPImplement a function popAt(int index) which performs a pop operation on a specific substack.
Imagine a stack of dishes, literally. The stack may collapse if it becomes too tall.Therefore, when the prior stack above a certain threshold in real life, we probably start a new stack. Create a data structure called SetOfStacks to resemble this. When a stack's capacity is reached, a new stack should be created and added to the SetOfStacks. SetOfStacks. SetOfStacks with push(). In other words, pop() should return the same values as it would if there were only one stack. It should operate exactly like a single stack.TAKE ACTIONCreate a function called popAt(int index) that does a pop operation on a certain substack.
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Write a program in c or c++ to implement a Stack using array. In order to implement the stack, programfor following stack operations has to be written: • void push(int): to insert data onto the stack.• Int pop(): to remove and return the last inserted element from the stack.• Int top(): Returns the last inserted element without removing it.• int Size(): Returns the number of elements stored in the stack.• int IsEmptyStack(): Indicates whether any elements are stored in the stack or not.• int IsFullStack(): Indicates whether the stack is full or not.
A CapnStackSparrow is an extended stack that supports four main operations: the standard Stack operations push(x) and pop() and the following non-standard operations:• max(): returns the maximum value stored on the Stack.• ksum(k): returns the sum of the top k elements on the Stack.The zip file gives an implementation SlowSparrow that implements these operations so that push(x) and pop() each run in ?(1) time, but max() and ksum(k) run in ?(?) time. For this question, you should complete the implementation of FastSparrow that implements all four operations in ?(1) (amortized) time per operation. As part of your implementation, you may use any of the classes in the Java Collections Framework and you may use any of the source code provided with the Java version of the textbook. Don't forget to also implement the size() and iterator() methods. Think carefully about your solution before you start coding. Here are two hints:1. don't use any kind of SortedSet or SortedMap, these all require…
Let S1, S2 and S3 be three stacks with |S1|=|S2|=|S3|= n (i.e) all of them will have same capacity. Assume that only two of the stacks are filled to the capacity with arbitrary non-negative integers and one of them is empty. Re-arrange the elements in the stack so that even integers are placed in one stack and odd integers in another stack. In case the number of even elements exceeds the number of odd elements, then the extra odd elements that do not fit onto one stack can be placed on the third. The case where odd elements are greater than even is analogous.
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.

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