Question: Consider the following code fragment. for i = 1 to n/2 for j = i to n i for k = 1 to j print

Consider the following code fragment. for i = 1 to n/2 for j = i to n i for k = 1 to j print "hello" Assume n is even. Let T(n) denote the number of times "hello" is printed as a function of n.

a. Express T(n) as three nested summations.

b. Simplify the three nested summations and find a theta bound for T(n).

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