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

Design a binary search tree, Binary Search Tree usage: Write a progra...

Binary Search Tree usage: Write a program to compare the time taken for a search in a skewed tree, a balanced tree, and a random tree. Speci cally, your program should do the

Define tree ?, A tree is a non-empty set one component of which is designat...

A tree is a non-empty set one component of which is designated the root of the tree while the remaining components are partitioned into non-empty groups each of which is a subtree

Binary tree traversals, We have discussed already about three tree traversa...

We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and p

State a algorithm that inputs the heights of all 500 student, As part of an...

As part of an experiment, a school measured heights (in metres) of all its 500 students. Write an algorithm, using a flowchart that inputs the heights of all 500 students and ou

Illustrate trivariate colour models, Illustrate Trivariate Colour Models ...

Illustrate Trivariate Colour Models Conventional colour models based on the tristimulus theory all contain three variables and so are called trivariate models. Let us now consi

Numerical - algorithm, Q. What is the smallest value of n such that an algo...

Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine.    A n

Binary search, Explain binary search with an example

Explain binary search with an example

Branch and Bound method, give some examples of least cost branch and bound ...

give some examples of least cost branch and bound method..

A sort which relatively passes by a list, A Sort which relatively passes by...

A Sort which relatively passes by a list to exchange the first element with any element less than it and then repeats with a new first element is called as      Quick sort.

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