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

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.

Linked lists - implementation, The Linked list is a chain of structures whe...

The Linked list is a chain of structures wherein each structure contains data in addition to pointer, which stores the address (link) of the next logical structure in the list.

Write algorithm for post-order traversal, P os t - o r d e r T ...

P os t - o r d e r T r av er sal :  This can be done by both iteratively and recursively. The iterative solution would require a modification or alteration of the in-

Trees, Have you ever thought about the handling of our files in operating s...

Have you ever thought about the handling of our files in operating system? Why do we contain a hierarchical file system? How do files saved & deleted under hierarchical directories

Context sensitive f1 help on a field, In what ways we can get the context s...

In what ways we can get the context sensitive F1 help on a field?' Data element documentation. Data element additional text in screen painter. Using the process on help r

Prims algorithm, how to implement prims algorithm dynamically

how to implement prims algorithm dynamically

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-

Indexed sequential file organisation, When there is requirement to access r...

When there is requirement to access records sequentially by some key value and also to access records directly by the similar key value, the collection of records may be organized

Determine the disjoint of division method, Determine the Disjoint of divisi...

Determine the Disjoint of division method A polygon is disjoint from the viewport if the x- and y-extents of the polygon do not overlap the viewport anywhere. In this case; reg

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