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Design and implement an algorithm to simulate car re-organizing of the train at the railway switching junction. You can only use stacks as the data structure to represent the train and the cars in each transit rail.
Task 1: For any given input of car order is c1,c2,...,cn and a number k of transit rails (k≥2), design and implement an algorithm to simulate the car ordering procedure by using stack operations only so that the output of the car order is 1,2,...,n.
Task 2: Analyse efficiency of your algorithm using Big-O notation by counting the number of stack operations used in your algorithm ( worst case analysis).
Task 3: Assume that k=n/2+1. Improve your algorithm so that its complexity is in O(n).
Task 4: Discuss the efficiency of your algorithm in relation to k if k can be any number such that k≥2.
The smallest element of an array's index is called its Lower bound.
Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, i
(1) (i) Add the special form let to the metacircular interpreter Hint: remember let is just syntactic sugar for a lambda expression and so a rewrite to the lambda form is all t
Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l
What is complexity of an algorithm? What is the basic relation between the time and space complexities of an algorithm? Justify your answer by giving an example.
bst for 40,60,25,50,30,70,35,10,55,65,12
Now, consider a function that calculates partial sum of an integer n. int psum(int n) { int i, partial_sum; partial_sum = 0; /* L
Algorithm to find sum of square of a number
Write an algorithm for multiplication of two sparse matrices using Linked Lists.
In the previous unit, we have discussed arrays. Arrays are data structures of fixed size. Insertion and deletion involves reshuffling of array elements. Thus, array manipulation
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