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

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