Recall that an application of the Stack ADT is postfix expression evaluation. As a reminder, here is pseudocode for the algorithm: scan given postfix expression; for each symbol in postfix if operand then push its value onto a stack S; if operator then ( pop operand2; pop operand1; apply operator to compute operand1 op operand2; push result back onto stack S; return value at top of stack; Evaluate the following postfix expression: 6 5 3 + 2 12 5 % +

Recall that an application of the Stack ADT is postfix expression evaluation. As a reminder, here is pseudocode for the algorithm: scan given postfix expression; for each symbol in postfix if operand then push its value onto a stack S; if operator then ( pop operand2; pop operand1; apply operator to compute operand1 op operand2; push result back onto stack S; return value at top of stack; Evaluate the following postfix expression: 6 5 3 + 2 12 5 % +

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Implement a stack S with two queues Q1 and Q2 so that the operations PUSH (S, X) and POP(S, Y), where S is presumably a stack and X is the element to be added to S and Y is the element removed from S, are handled by the queues that function as a stack as a whole. Assume that only queues are accessible to ADT's ENQUEUE, DEQUEUE, and EMPTYQUEUE operations.Show how your function operates on a list of items (a, b, and c) that will be used as a stack by the queues Q1 and Q2.
You may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP (S, X), and EMPTYSTACK (S), where X is an element or variable to be pushed into or popped out of the stack and S denotes the stack itself. If necessary to complete the procedures, you may also utilise one variable. i) How can you determine the least element that was pushed into WORK given n different random integers that are going be placed into it? You are allowed to employ a single variable. ii) How can you determine the maximum element that was put into Work, given n different random integers, while making sure that the items placed in Work are arranged in ascending order, with the maximum element starting at the bottom of the stack? You are allowed to utilise the temporary stack TEMP as well as a single variable. iii) How can you create the sorted list in the array using just stacks given an array A[1: n] of unique random numbers?
If a linked stack is implemented as a doubly linked list, provide a process to flip the stack such that the top and bottom places are now the bottom and top, respectively.A connected stack S and its reversed counterpart Srev, for instance, are displayed as follows:
You are allowed to operate on a stack WORK and a temporary stack TEMP (ifneeded) supporting their ADT operations of PUSH (S,X), POP (S, X) andEMPTYSTACK (S) only, where X represents an element/variable to be pushed in orpopped out of the stack and S represents a stack. You are also permitted to use one variable if needed to carry out the operations. i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.ii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?
Consider that you have a stack S and a queue Q. Draw S and Q after executing the following operations (Op). You have to indicate for each operation, the stack or the queue content in addition to the index value of the top (stack) or the front and the rear (queue) Stack S; Queue Q; int a=3, b=7
You may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP (S, X), and EMPTYSTACK (S), where X is an element or variable to be pushed into or popped out of the stack and S denotes the stack itself. If necessary to complete the procedures, you may also utilise one variable.i i) I How can you determine the least element that was put into Work given n different random numbers? You may employ a single variable. ii) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.
Consider the following operations performed on a stack of size 5. Push(1);Pop();Push(2);Push(3);Pop();Push(4);Pop();Push(5); After the completion of all operations, the number of elements in the stack is:
Implement a queue Q using two stacks S1 and S2 such that operationsENQUEUE(Q, X) and DEQUEUE(Q, Y), where Q is supposedly a queue and X isthe element to be inserted into Q and Y the element deleted from Q, are workedupon by the stacks that operate together as a queue. Assume that the ADT operations of PUSH, POP and EMPTYSTACK are only available for the stacks. Demonstrate the working of your method on a list {a, b, c}, which is to beoperated upon as a queue by the stacks S1 and S2.
Implement a stack S using two queues Q1 and Q2 so that operations PUSH (S,X) and POP(S, Y), where S is supposedly a stack and X is the element to be insertedinto S and Y the element deleted from S, are worked upon by the queues that operatetogether as a stack. Assume that the ADT operations of ENQUEUE, DEQUEUE andEMPTYQUEUE are only available for the queues.Demonstrate the working of your method on a list {a, b, c}, which is to beoperated upon as a stack by the queues Q1 and Q2.
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? [15+5] 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)
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