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

The best average behaviour, The best average behaviour is shown by  Qui...

The best average behaviour is shown by  Quick Sort

Non-recursive algorithm to traverse a tree in preorder, Write the non-recur...

Write the non-recursive algorithm to traverse a tree in preorder.    The Non- Recursive algorithm for preorder traversal is as follows: Initially  push NULL onto stack and

Prims algorithm, Prim's algorithm employs the concept of sets. Rather than ...

Prim's algorithm employs the concept of sets. Rather than processing the graph by sorted order of edges, this algorithm processes the edges within the graph randomly by building up

A bst is traversed in which order recursively, A  BST is traversed in the ...

A  BST is traversed in the following order recursively: Right, root, left e output sequence will be in In Descending order

Convert graph into tree, How can we convert a graph into a tree ? Do we hav...

How can we convert a graph into a tree ? Do we have any standardized algorithm for doing this?

Illustrate the wire frame representation, RENDERING, SHADING AND COLOURING ...

RENDERING, SHADING AND COLOURING By introducing hidden line removal we have already taken one step away from wire-frame drawings towards being able to realistically model and d

Algorithmic implementation of multiple stacks, So far, we now have been con...

So far, we now have been concerned only with the representation of single stack. What happens while a data representation is required for several stacks? Let us consider an array X

Efficient way of storing a sparse matrix in memory, Explain an efficient wa...

Explain an efficient way of storing a sparse matrix in memory.   A matrix in which number of zero entries are much higher than the number of non zero entries is called sparse mat

Analyze an algorithm, In order to analyze an algorithm is to find out the a...

In order to analyze an algorithm is to find out the amount of resources (like time & storage) that are utilized to execute. Mostly algorithms are designed to work along with inputs

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