(Answered) Consider the following algorithm a is an array of size n

Management Studies

Consider the following algorithm. A is an array of size n. Algorithm rec(n)

In: Integer value n.

if n = 0 then return 1 else {

i ← rec(n - 1) A[n] ← i return i

}

a) Write a recurrence equation for the time complexity of this algorithm.

b) Solve the above recurrence equation by repeated substitution and give the order of the time complexity.

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