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Take the following recurrence relation consider only for n = 2k for integers
k ≥ 1: T(2) = 9, and for n ≥ 4, T(n) = n + T(n /2).
Three students were working together in a study group and came up with three dissimi laranswers for this recurrence:
(a) T(n) = n log2(n) + 5
(b) T(n) = n log2(n) - n + 9
(c) T(n) = 2 n + 5
Examine which solution (if any) is correct by trying to prove that each one is correct by induction. If you cannot done the induction proof, describe what goes wrong.
Optimum solution based on constraint problems: Whether depending on what solver you are using so there constraints are often expressed as relationships between variables as e.
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