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

Recurrence relation, solve the following relation by recursive method: T(n...

solve the following relation by recursive method: T(n)=2T(n^1/2)+log n

Estimate cost of an optimal diapath, Normally a potential y satisfies y r ...

Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v

Explain how two dimensional arrays are represented in memory, Explain how t...

Explain how two dimensional arrays are represented in memory. Representation of two-dimensional arrays in memory:- Let grades be a 2-D array as grades [3][4]. The array will

Develop a material requirements plan, The below figure illustrates the BOM ...

The below figure illustrates the BOM (Bill of Materials) for product A. The MPS (Material requirements Planning) start row in the master production schedule for product A calls for

Write an algorithm for binary search., Write an algorithm for binary search...

Write an algorithm for binary search. Algorithm for Binary Search 1.  if (low> high) 2.  return (-1) 3.  Mid = (low + high)/2 4.  if ( X = = a[mid]) 5.  return (mid); 6.

What do you understand by tree traversal, What do you understand by tree tr...

What do you understand by tree traversal? The algorithm walks by the tree data structure and performs some computation at everynode in the tree. This process of walking by the

Operations on b-trees, Operations on B-Trees Given are various operatio...

Operations on B-Trees Given are various operations which can be performed on B-Trees: Search Create Insert B-Tree does effort to minimize disk access and t

Process of analysis, The objective analysis of an algorithm is to determine...

The objective analysis of an algorithm is to determine its efficiency. Efficiency is based on the resources which are used by the algorithm. For instance, CPU utilization (Ti

Interest, I=PR/12 numbers of years : Interest Rate up to 1 years : 5...

I=PR/12 numbers of years : Interest Rate up to 1 years : 5.50 Up to 5 years : 6.50 More than 5 year : 6.75 please design an algorithm based on the above information

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