Solve the following recurrence relations. You do not need to give a () bound for (a), (b), (c); it suffices to give the O() bound that results from applying the Master theorem. You may assume that T(n) = O(1) for n = O(1). (a) T(n) = 2T(n/3) +1. (b) T(n) = 7T(n/7) + n. (c) T(n) = 9T(n/3) + n². (d) T(n) = T(n − 1) +2.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Solve the following recurrence relations. You do not need
to give a () bound for (a), (b), (c); it suffices to give the O() bound
that results from applying the Master theorem. You may assume that
T(n) = O(1) for n = = 0(1).
(a) T(n) = 2T(n/3) + 1.
(b) T(n) = 7T(n/7) + n.
(c) T(n) = 9T(n/3) + n².
(d) T(n) = T(n-1) +2.
Transcribed Image Text:Solve the following recurrence relations. You do not need to give a () bound for (a), (b), (c); it suffices to give the O() bound that results from applying the Master theorem. You may assume that T(n) = O(1) for n = = 0(1). (a) T(n) = 2T(n/3) + 1. (b) T(n) = 7T(n/7) + n. (c) T(n) = 9T(n/3) + n². (d) T(n) = T(n-1) +2.
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