Push and pop operations, Data Structure & Algorithms

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.

 

 

Posted Date: 7/10/2012 3:57:51 AM | Location : United States







Related Discussions:- Push and pop operations, Assignment Help, Ask Question on Push and pop operations, Get Answer, Expert's Help, Push and pop operations Discussions

Write discussion on Push and pop operations
Your posts are moderated
Related Questions
Define order of growth The  efficiency  analysis  framework  concentrates   on  the  order  of  growth  of  an  algorithm's   basic operation count as the principal indicator o

The number of different directed trees with 3 nodes are ?? The number of disimilar directed trees with three nodes are 3

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 Qu

1. The following is a recursive algorithm to calculate the k -th power of 2. Input k a natural number Output kth power of 2 Algorithem: If k =0then return 1 Else return 2* po

Decision Tree A decision tree is a diagram that shows conditions and actions sequentially and therefore shows which condition is to be considered first, second and so on. It is

Write a program for reversing the Linked list

What are the properties of an algorithsm?

Almost Complete Binary Tree :-A binary tree of depth d is an almost whole binary tree if: 1.Any node and at level less than d-1 has two children. 2. for any node and in the tree wi

Q.1 Compare two functions n 2 and 2 n for various values of n. Determine when second becomes larger than first. Q.2 Why do we use asymptotic notation in the study of algorit

two standards ways of traversing a graph in data structure