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A student counted up the number of statements implemented in a program developed for sorting n integers and came up with a recurrence of the form:
T(n) = a * n + b + 2T(n/2), and T(1) = s where a, b and s are constants.
(a) Use the method of repeated substitution to solve this recurrence suppose that n = 2k for some integer k ≥ 0. You must contain as much detail as giveninclass
(Step 0, Step 1, Step 2, Step i, ...).
Your answer should be a closed formula: sums or expressions with T in the formula are not allowed.
The logic circuit shown in the given figure can be minimised to Ans. The minimised figure of logic diagram is D, the output of the logic circuit is as Y=(X+Y')'+(X'+(X+
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