Question: Consider the following recursive algorithm, where b and n are nonnegative integers. ALGORITHM mighty (b, n) { if (n == 0) return b else return

Consider the following recursive algorithm, where b and n are nonnegative

Consider the following recursive algorithm, where b and n are nonnegative integers. ALGORITHM mighty (b, n) { if (n == 0) return b else return b*b*mighty (b, n-1) } (i) What does this algorithm compute? (ii) Based on the key operation of the algorithm, set up a recursive relation for the time complexity analysis of the algorithm. Use the approach of backward substitutions to solve for the suggested recursive relation

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