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 algorithms, Sorting is significant application activity. Several so...

Sorting is significant application activity. Several sorting algorithms are obtainable. But, each is efficient for a specific situation or a specific kind of data. The choice of a

Insertion of an element in a linear array, To delete an element in the list...

To delete an element in the list at the end, we can delete it without any difficult. But, assume if we desire to delete the element at the straining or middle of the list, then, we

Structures for complete undirected graphs, Q. Draw  the structures of compl...

Q. Draw  the structures of complete  undirected  graphs  on  one,  two,  three,  four  and  five vertices also prove that the number of edges in an n vertex complete graph is n(n-1

Procedure of analysis of algorithm, Example 1:  Following are Simple sequen...

Example 1:  Following are Simple sequence of statements Statement 1;  Statement 2; ... ... Statement k; The entire time can be found out through adding the times for

Illustrate the back face detection method, Illustrate the Back Face Detecti...

Illustrate the Back Face Detection Method A single polyhedron is a convex solid, which has no external angle between faces less  than 180° and there is a simple object space me

Interest rate, explain the determination of interest rate in the classical ...

explain the determination of interest rate in the classical system.

Sparse matrices, SPARSE MATRICES Matrices along with good number of zer...

SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)

Design a doubly linked list, Instructions : You have to design a dou...

Instructions : You have to design a doubly linked list container. The necessary classes and their declarations are given below The main() function for testing the yo

Sparse matrix, How sparse matrix stored in the memory of a computer?

How sparse matrix stored in the memory of a computer?

Multiple stack in single dimensional array, Implement multiple stacks in a ...

Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

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