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Note that in analysis of algorithms, time complexity is typically measured in te

ID: 3085150 • Letter: N

Question

Note that in analysis of algorithms, time complexity is typically measured in terms of the size of the input and not the input values. If n is a single number, then its binary string representation can be represented using approximately m bits (the size of the input), where m = log_2(n). Therefore, the maximum value than can be expressed in m bits is n = O(exp(m)). In terms of m, what is the closest-fit worst-case time complexity of following algorithm? f(n){ if (n < 2) return 1 else return f(n

Explanation / Answer

c. O(exp(m)).

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