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1) How could we get the equation that can calculate the time complexity? (T(n)=2T(n/2) +C*n, where C is a constant.) (2) Prove that T(n) in
1) How could we get the equation that can calculate the time complexity? (T(n)=2T(n/2) +C*n, where C is a constant.)
(2) Prove that T(n) in (1) is O(n log n) if we assume T(1) =T(2) = C. (C is a constant)
(3) If we partition the array into three parts in merge-sort, what recurrence formula can you derive for time complexity T(n) ? (Extra points) How about partition the array to k parts?
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