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

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

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

How sparse matrix stored in the memory of a computer?

Write an algorithm to display this repeated calculation, The following form...

The following formula is used to calculate n: n = x * x/(1 - x) . Value x = 0 is used to stop algorithm. Calculation is repeated using values of x until value x = 0 is input. There

Which data structure is used for implementing recursion, Which data structu...

Which data structure is used for implementing recursion Stack.

Representing sparse matrix in memory using array, Q. What do you understand...

Q. What do you understand by the term sparse matrix? How sparse matrix is stored in the memory of a computer? Write down the function to find out the transpose of a sparse matrix u

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

Implementation of a binary tree, Like general tree, binary trees are implem...

Like general tree, binary trees are implemented through linked lists. A typical node in a Binary tree has a structure as follows struct NODE { struct NODE *leftchild; i

Data structure- tree, Tree is dynamic data structures. Trees can expand & c...

Tree is dynamic data structures. Trees can expand & contract as the program executes and are implemented via pointers. A tree deallocates memory whereas an element is deleted.

Algorithm for multiplication of two sparse matrices using li, algorithm for...

algorithm for multiplication of two sparse matrices using linked lists..

Nothing, c++ To calculate the amount to be paid by a customer buying yummy ...

c++ To calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

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