Question
(Analysis of algorithms) Suppose that you must choose one between the following three algorithms for the same problem P, whose input has size (n), using
(Analysis of algorithms) Suppose that you must choose one between the following three algorithms for the same problem P, whose input has size (n), using divide-and-conquer technique:
(i) Algorithm A solves P by deriving from it 4 subproblems of size n / 2, solving them recursively, and then combining their solutions in time (n).
(ii) Algorithm B solves P by recursively solving 2 subproblems of size n-4 and then combining their solutions in time O(1).
(iii) Algorithm C solves P by deriving from it 2 subproblems of size n / 2, solving them recursively and then combining their solutions in time (n).
Which one would you choose? Justify your answer.
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