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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.
Varieties of Arrays In some languages, size of an array should be established once and for all at program design time and can't change during execution. Such arrays are known a
Thread 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 either a stack
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As we have seen, as the traversal mechanisms were intrinsically recursive, the implementation was also easy through a recursive procedure. Though, in the case of a non-recursive me
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