EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Question
Chapter 4, Problem 3E
Program Plan Intro
Stack:
Stack is a container in which elements inserted and removed in LIFO (Last In First Out) manner.
- “top” is address of top element of stack.
- Basic stack operations are given below:
- push(): Insert an object into stack top.
- pop(): Delete object in stack top.
- top(): Get object in stack top.
Explanation of Solution
- b. By not using additional stack:
Given stacks are “S1” and “S2”. Additional non-array variables are “Num”, “Num2” and “last_element”.
Contents of “S1” can be transfer into “S2” as same order in “S1” as shown below:
- “Num” is number of elements initially in stack “S1”.
- Decrement “Num” by one.
- Till “Num” becomes zero
- Equate “Num” into “Num2”.
- Till “Num2” becomes zero
- Pop each element from “S1” and push it into “S2”...
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Transfer elements from stack S1 to stack S2 so that the elements from S2 are in the same order as on S1
using one additional stack
using no additional stack but only some additional non-array variables
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?
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 onevariable if needed to carry out the operations.i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the minimum element that was pushed into it? You are permitted to use alone 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.iii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?
Chapter 4 Solutions
EBK DATA STRUCTURES AND ALGORITHMS IN C
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Similar questions
- Explain the difference between the bound stack and the unbounded stack in more detail, please.arrow_forwardFind out how effectively the stack operates when it is given the opportunity to work in line with its inherent inclinations.arrow_forwardYou 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?arrow_forward
- Implement a function void copyStack(StackSLL<T>& s1, StackSLL<T>& s2) thatcopies elements from stack s1 to stack s2 without using any additional stacksor arrays.Example input: S1: [3,4,5,6]. Output: S2: [3,4,5,6]arrow_forwardWrite a procedure to reverse a linked stack implemented as a doubly linked list,with the original top and bottom positions of the stack reversed as bottom and top,respectively.For example, a linked stack S and its reversed version Srev are shown as follows:arrow_forwardDesign 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 complexityarrow_forward
- Use a stack to reverse the input integer values. Check the stack grows as more elements are pushed. Use with and without function pointer in each of the problem (Please give correct answer with explanation)arrow_forwardYou 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.arrow_forwardConsider the Stack ADT: Stack: push(x) adds x to top of stack pop() removes top element of stack and returns it size() returns number of elements in stack Select all options that allow for an efficient implementation based on the discussions from class. For any array implementation, you can assume the array is large enough so that making a larger one is not needed when pushing an item to the stack. Using an array with the top at the front of the array. Using an array with the top at the back of the array. Using a singly linked list with the top at the head of the list. Using a singly linked list with the top at the tail of the list. ENGarrow_forward
- Whereas the unbounded stack has no such limits, could you perhaps elaborate on how this works?arrow_forwardYou 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.arrow_forwardStack A has the entries a, b, c (with a on top). Stack B is empty. An entry popped out of stack A can be printed immediately or pushed to stack B. An entry popped out of the stack B can only be printed. In this arrangement, which of the following permutations of a, b, c are not possible?arrow_forward
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