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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.
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Algo rithm to Insert a Node p at the End of a Linked List is explained below Step1: [check for space] If new1= NULL output "OVERFLOW" And exit Step2: [Allocate fr
Example: Assume the following of code: x = 4y + 3 z = z + 1 p = 1 As we have been seen, x, y, z and p are all scalar variables & the running time is constant irrespective
for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..
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Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
Write a procedure (make-stack) that produces independent stack objects, using a message-passing style, e.g. (define stack1 (make-stack)) (define stack2 (make-stack)) W
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