a certain divide and conquer algorithm splits a problem into 16 sub-instances each of which is about one half of the original size it performs 3n^2 characteristic operations to do the splitting and combining. Let T(n) be the time complexity of the algorithm as a function of its input size n a) Determine a recurrence relation for T(n)   b) Determine T's Big-0 complexity class using the master theorem.

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a certain divide and conquer algorithm splits a problem into 16 sub-instances each of which is about one half of the original size it performs 3n^2 characteristic operations to do the splitting and combining. Let T(n) be the time complexity of the algorithm as a function of its input size n

a) Determine a recurrence relation for T(n)

 

b) Determine T's Big-0 complexity class using the master theorem.

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