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

Linked lists, representation of links list in memory

representation of links list in memory

Physical database design and sql queries, In this part, students are allowe...

In this part, students are allowed to implement the following simplifications in their table and data design. o Availability for the beauty therapists don't have to be considere

State z-buffer algorithm, Z-Buffer Algorithm Also known as the Depth-Bu...

Z-Buffer Algorithm Also known as the Depth-Buffer algorithm, this image-space method simply selects for  display the polygon or portion of a polygon that is nearest to the view

Kruskals algorithm, Krushkal's algorithm uses the concept of forest of tree...

Krushkal's algorithm uses the concept of forest of trees. At first the forest contains n single node trees (and no edges). At each of the step, we add on one (the cheapest one) edg

Importance of game theory to decisions, Question: (a) Discuss the impor...

Question: (a) Discuss the importance of game theory to decisions. (b) Explain the following: (i) saddle point, (ii) two-person zero-sum game. (c) Two leading ?rms, ABC Ltd a

Doubly linked list having n nodes, The time required to delete a node x fro...

The time required to delete a node x from a doubly linked list having n nodes is O (1)

Determine in brief the painter algorithm, Determine in brief the Painter A...

Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo

Explain dijkstra''s algorithm, Explain Dijkstra's algorithm Dijkstra's ...

Explain Dijkstra's algorithm Dijkstra's algorithm: This problem is concerned with finding the least cost path from an originating node in a weighted graph to a destination node

Binary search tree, A binary search tree (BST), which may sometimes also be...

A binary search tree (BST), which may sometimes also be named a sorted or ordered binary tree, is an edge based binary tree data structure which has the following functionalities:

Determine the space complexity of euclid algorithm, 1)      Why space compl...

1)      Why space complexity is comparatively more critical than time complexity? 2)      Determine the space complexity of Euclid Algorithm?

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