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

Draw the process flow diagram, Draw the process flow diagram: Anand   ...

Draw the process flow diagram: Anand   Dairy (AD) sources 150,000 litres of milk daily from large number of local villagers .The milk is collected from 4:00 AM to 6:00 am and

Adjacency matrix of an undirected graph, 1) What will call a graph that hav...

1) What will call a graph that have no cycle? 2) Adjacency matrix of an undirected graph is------------- on main diagonal. 3) Represent the following graphs by adjacency matr

Cohen sutherland algorithm, Using the cohen sutherland. Algorithm. Find the...

Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)

Aa-trees, Red-Black trees have introduced a new property in the binary sear...

Red-Black trees have introduced a new property in the binary search tree that means an extra property of color (red, black). However, as these trees grow, in their operations such

Calculation of storage complexity, Since memory is becoming more & cheaper,...

Since memory is becoming more & cheaper, the prominence of runtime complexity is enhancing. However, it is very much significant to analyses the amount of memory utilized by a prog

Array vs. ordinary variable, Q. Describe what do you understand by the term...

Q. Describe what do you understand by the term array? How does an array vary from an ordinary variable? How are the arrays represented in the specific memory?

Various passes of bubble sort, Q. Show the various passes of bubble sort on...

Q. Show the various passes of bubble sort on the unsorted given list 11, 15, 2, 13, 6           Ans: The given data is as follows:- Pass 1:-     11   15   2     13

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

Algorithm, implement multiple stacks in a single dimensional array. write a...

implement multiple stacks in a single dimensional array. write algorithm for various stack operation 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