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 can you find the maximum element that was pushed into it, all the while ensuring that the elements stored in WORK are in their descending order with the maximum element beginning at the bottom of stack? You are permitted to use a lone variable and a temporary stack TEMP.

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 can you find the maximum element that was pushed into it, all the while ensuring that the elements stored in WORK are in their descending order with the maximum element beginning at the bottom of stack? You are permitted to use a lone variable and a temporary stack TEMP.

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 3PE

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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?
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. -
S1 and S2 are two sorted stacks of n and m numbers, with the top elements of each stack pointing to the smallest number in their list. To ensure that all of the components in stacks S1 and S2 are available in MERGE in decreasing order, with the largest element at the top, create a stack MERGE that combines the items in stacks S1 and S2.Remember that there are (n + m) components in the stack MERGE.
A counter automaton is a pushdown automaton that only uses one stack symbol (in additionto the bottom of the stack marker). This means that the stack acts as a simple counter: the push operationincreases the counter, the pop operation decreases it, and you can check if the counter is currently set to 0by looking for the bottom of the stack. In particular, you can not store a string over an arbitrary alphabeton the stack. For example, the automaton for anbn we have seen in class is a counter automaton.Let L = {w ∈{a, b}∗|w contains the same number of symbols a and b}.(2.a) Build a counter automaton accepting the language L. As in Question 1, describe the algorithmused by your automaton, and draw a transition diagram.(2.b) Write down an accepting computation of your automaton on the string abbbabaa.
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…
The PostfixEvaluator class uses the java.util.Stack class to create thestack attribute. The java.util.Stack class is one of two stack implementationsprovided by the Java Collections API. We revisit the other implementation, theDeque interface, in Chapter 13.The evaluate method performs the evaluation algorithm described earlier, supported by the isOperator and evalSingleOp methods. Note that in the evaluatemethod, only operands are pushed onto the stack. Operators are used as they areencountered and are never put on the stack. This is consistent with the evaluation algorithm we discussed. An operand is put on the stack as an Integer object, insteadof as an int primitive value, because the stack collection is designed to store objects.When an operator is encountered, the two most recent operands are poppedoff the stack. As mentioned above, the first operand popped is actually the secondoperand in the expression and that the second operand popped is the first operandin the expression.…
TRUE or FALSE? Please answer the following question and state the reason why: Thank you! In a Dynamic Stack, the pointer top stays at the head after a push operation. During a Pop operation in Static Stack, the elements are being moved one step up. In a dynamic implementation of stack, the pointer top has an initial value of null. STL empty function will yield a value of true if the stack has elements.
Design a stack MAXSTACK, which functions like an ordinary linked stacksupporting the ADT operations of PUSH, POP and EMPTYSTACK, besidesGETMAX. GETMAX is an operation that records the maximum element in thestack. Can you design the stack in such a way that GETMAX merely consumes O(1) time complexity
Implement a method transfer in class LinkedStack. This method should transfer all elements of a stack sourceS to another stack targetS so that the element that starts at the top of sourceS is the first one to be inserted in targetS, and the element at the bottom of sourceS ends up at the top of targetS. The operation should result in sourceS being an empty stack. Test this method in the main method of LinkedStack. package stacks;public class LinkedStack<E> implements Stack<E> {/** The primary storage for elements of the stack */private SinglyLinkedList<E> list = new SinglyLinkedList<>(); // an empty list/** Constructs an initially empty stack. */public LinkedStack() { } // new stack relies on the initially empty list@Overridepublic int size() { return list.size(); }@Overridepublic boolean isEmpty() { return list.isEmpty(); }@Overridepublic void push(E element) { list.addFirst(element); }@Overridepublic E top() { return list.first(); }@Overridepublic E pop() {…
Project Overview: This project is for testing the use and understanding of stacks. In this assignment, you will be writing a program that reads in a stream of text and tests for mismatched delimiters. First, you will create a stack class that stores, in each node, a character (char), a line number (int) and a character count (int). This can either be based on a dynamic stack or a static stack from the book, modified according to these requirements. I suggest using a stack of structs that have the char, line number and character count as members, but you can do this separately if you wish.Second, your program should start reading in lines of text from the user. This reading in of lines of text (using getline) should only end when it receives the line “DONE”.While the text is being read, you will use this stack to test for matching “blocks”. That is, the text coming in will have the delimiters to bracket information into blocks, the braces {}, parentheses (), and brackets [ ]. A string…
You are given N elements and your task is to Implement a Stack in which you can get a minimum element in O(1) time. Example 1: Input: push(2) push(3) pop() getMin() push(1) getMin() Output: 2 1 Explanation: In the first test case for query push(2) Insert 2 into the stack. The stack will be {2} push(3) Insert 3 into the stack. The stack will be {2 3} pop() Remove top element from stack Poped element will be 3 the stack will be {2} getMin() Return the minimum element min element will be 2 push(1) Insert 1 into the stack. The stack will be {2 1} getMin() Return the minimum element min element will be 1.