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

Define threaded binary tree, Threaded Binary Tree:- By changing the NUL...

Threaded Binary Tree:- By changing the NULL lines in a binary tree to special links known as threads, it is possible to perform traversal, insertion and deletion without using

Explain about franklin algorithm, Explain about Franklin Algorithm We m...

Explain about Franklin Algorithm We mentioned how the number of possible comparisons of polygons grows as the square of the number of polygons in the scene. Many of the hidden-

Exact analysis of insertion sort, Exact analysis of insertion sort: Let...

Exact analysis of insertion sort: Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort. T j   is the time taken to execute the s

Advanced trees, Linked list representations contain great advantages of fle...

Linked list representations contain great advantages of flexibility on the contiguous representation of data structures. However, they contain few disadvantages also. Data structur

Implementation of dequeue, Dequeue (a double ended queue) is an abstract da...

Dequeue (a double ended queue) is an abstract data type alike to queue, where insertion and deletion of elements are allowed at both of the ends. Like a linear queue & a circular q

Stack, implement multiple stacks ina single dimensional array. write algori...

implement multiple stacks ina single dimensional array. write algorithams for various stack operation for them.

Compare two functions, Comp are two functions n 2    and  2 n  / 4...

Comp are two functions n 2    and  2 n  / 4  for distinct values of n.   Determine When s ec on d function b ec om es l a r g er th an f i r st functi

All pairs shortest paths, N = number of rows of the graph D[i[j] = C[i][...

N = number of rows of the graph D[i[j] = C[i][j] For k from 1 to n Do for i = 1 to n Do for j = 1 to n D[i[j]= minimum( d ij (k-1) ,d ik (k-1) +d kj (k-1)

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