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

State the complex reallocation procedure, State the complex reallocation pr...

State the complex reallocation procedure Some languages provide arrays whose sizes are established at run-time and can change during execution. These dynamic arrays have an in

If a node having two children is deleted from a binary tree, If a node havi...

If a node having two children is deleted from a binary tree, it is replaced by?? Inorder successor

Rl rotation - avl tree, Example: (Double left rotation while a new node is ...

Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A

Sorting, Define Hashing. Store the following values in a hash table of tabl...

Define Hashing. Store the following values in a hash table of table size 11 using division method: 25, 42, 96, 101, 102, 162, and 197. In case of collision, use other hash functio

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

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

Write an algorithm outputs number of books using psuedocode, A shop sells b...

A shop sells books, maps and magazines. Every item is identified by a unique 4 - digit code. All books have a code starting with a 1, all maps have a code which starts with a 2 and

Define abstract data type & column major ordering for arrays, Q1. Define th...

Q1. Define the following terms: (i) Abstract data type. (ii) Column major ordering for arrays. (iii)  Row major ordering for arrays. Q2. Explain the following: (i) A

Define a b-tree, Define a B-Tree Justas AVL trees are balanced binary s...

Define a B-Tree Justas AVL trees are balanced binary search trees, B-trees are balanced M-way search trees. A B-Tree of order M is either the empty tree or it is an M-way searc

Flowcharts, draw a flowchart which prints all the even numbers between 1-50...

draw a flowchart which prints all the even numbers between 1-50

Stack, write pseudocode to implement a queue with two stacks

write pseudocode to implement a queue with two stacks

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