The cube root of natural number n is defined as the largest natural number m
such that m^3 <=
n. The complexity of the computing the cube root of n (n is represented in
binary notation) is
(Pls note that the symbol ^ stands for power, for ex. m^3 means m to the
power 3 or m cube)

Options:

A) O((log n)^k) for some constant k > 0, but not O((log log n)^m) for any
constant m > 0
B) O((log log n)^k) for some constant k > 0.5, but not O((log log n)^0.5)
C) O(n) but not O(n^0.5)
D) O(n^0.5) but not O((log n)^k) for any constant k > 0

Help me to find the answer for this problem.

With Regards

D. Dayal

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