Push and pop operations, Data Structure & Algorithms

Assignment Help:

Q. Explain that how do we implement two stacks in one array A[1..n] in such a way that neither the stack overflows unless the total number of elements in both stacks together is n. The PUSH and POP operations should be running in O(1) time.                                          

Ans:

Two stacks s1 and s2 can be implemented in one array A[1,2,...,N] as shown in the following figure

     1       2          3       4                                                              n-3     n-2     n-1     n

530_Push and pop operations.png

S1                                         S2

Here we define A[1] as the bottom of stack S1 and let S1 "grow" to the right and we define A[n] as the bottom of the stack S2 and S2 "grow" to the left. In this particular case, overflow will occur, only S1 and S2 together have more than n elements. This technique or method will usually decrease the number of times overflow occurs. There will be separate push1, push2, pop1 and pop2 functions which are to be defined separately for the two stacks S1 and S2.

 

 


Related Discussions:- Push and pop operations

Sorting algorithm for singly linked lists, Q. Which sorting algorithm can b...

Q. Which sorting algorithm can be easily adaptable for singly linked lists? Explain your answer as well.        Ans: The simple Insertion sort is sim

Hotel reservation system, pls i want a psuedo code for hotel reservation sy...

pls i want a psuedo code for hotel reservation system.

Order of the matrix, /* The program accepts matrix like input & prints the ...

/* The program accepts matrix like input & prints the 3-tuple representation of it*/ #include void main() { int a[5][5],rows,columns,i,j; printf("enter the order of

Methods, what is folding method?

what is folding method?

Postfix expression algorithm, Write an algorithm to calculate a postfix exp...

Write an algorithm to calculate a postfix expression.  Execute your algorithm using the given postfix expression as your input : a b + c d +*f ↑ . T o evaluate a postfix expr

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

You are given an undirected graph G = (V, E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1,2,...,W}, where W

Search on a hashed file, Write a program to simulate searching over a hashe...

Write a program to simulate searching over a hashed file, with different assumptions for the sizeof file pages.Write a program to perform equality search operations on the hashed f

Binary tree traversals, We have discussed already about three tree traversa...

We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and p

What is a data structure, Question 1 What is a data structure? Discuss bri...

Question 1 What is a data structure? Discuss briefly on types of data structures Question 2 Explain the insertion and deletion operation of linked list in detail Question

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd