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What is the result of the recurrences which fall under second case of Master’s theorem (let the recurrence be given by T(n)=aT(n/b)+f(n) and f(n)=n^c?(a) T(n) = O(nlogba)(b) T(n) = O(n^c log n)(c) T(n) = O(f(n))(d) T(n) = O(n^2)I got this question by my college professor while I was bunking the class.Question is taken from Masters theorem topic in chapter Recursion of Data Structures & Algorithms II

Answer»

The correct choice is (B) T(N) = O(n^c LOG n)

To explain: In second case of master’s theorem the NECESSARY condition is that c = logba. If this condition is TRUE then T(n) = O(n^c log n)



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