Question: Given the recurrence: T(n) = c n = 1, 2 T(n) = 3T(n/3) + cn n > 2 Use the substitution method to show T

Given the recurrence: T(n) = c n = 1, 2 T(n)

Given the recurrence: T(n) = c n = 1, 2 T(n) = 3T(n/3) + cn n > 2 Use the substitution method to show T (n) (nlgn). Show your work in sufficient details. (Hints: 1. Show T(n) = 0 (nlgn) and T (n = 12 (nlgn), respectively) 2. You may assume log? = (log%). No need to show it here 3. lg n is log.)

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