Use mathematical induction to show that when n is an exact power of 2, the solu- tion of the recurrence T(n) = 2 if n = 2, 2T (n/2)+n if n = 2k, for k > 1 is T(n) = n lgn.
Use mathematical induction to show that when n is an exact power of 2, the solu- tion of the recurrence T(n) = 2 if n = 2, 2T (n/2)+n if n = 2k, for k > 1 is T(n) = n lgn.
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Transcribed Image Text:Use mathematical induction to show that when n is an exact power of 2, the solu-
tion of the recurrence
T(n) =
2
if n = 2,
2T (n/2)+n if n = 2k, for k > 1
is T(n) = n lgn.
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