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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.
Mid Square method with good example
types of asymptotic notations
A telephone directory having n = 10 records and Name field as key. Let us assume that the names are stored in array 'm' i.e. m(0) to m(9) and the search has to be made for name "X"
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traverse the graph as BFS
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