O(1) if n = 1 , T(n) = 8T (п/2) + Ө(n?) if n > 1.
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- T(n) = 9T(n/3) + O(n2)c(n)=10*c(n-1),c(1)=3For each of the following program fragments: Give an analysis of the running time (Big-Oh). Justify your answer? A. public class GFG { // Linearly search x in att[]. if x is present then //return the index, otherwise return -1 static int search (int arr[], int n, intx) { int i; for (i = 0: iBum 0; for (int i = 1; if (n) = cos n + 12 O (1) O None of the choices O O(n) O O(n lg n) O O(lg n)T(n) = T(n-2) + 2lgn Show that T(n) = O(n lg n) using substitution method.f (n) = cos n + 12 O (1) O Ollg n) O None of the choices O O(n) O O(n lg n)Given A={1,2,3,4,56}, B= {2,4,5,6} and C= (1,6,7} 1. B' U C'=Place the following functions into their proper asymptotic order: f1(n) = n2log2n; f2(n) = n(log2n)2 ; f3(n) = 20 + 21 + .. + 2n ; f4(n) = log2 ( 20 + 21 + .. + 2n ).SEE MORE QUESTIONSRecommended textbooks for youSystems ArchitectureComputer ScienceISBN:9781305080195Author:Stephen D. BurdPublisher:Cengage LearningSystems ArchitectureComputer ScienceISBN:9781305080195Author:Stephen D. BurdPublisher:Cengage Learning