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Suppose we find complexities of two algorithms as follows. Let p be a probability function, i.e. 0.0 ≤ p ≤ 1.0 A1(n) = 4n2p + (n+1)(1-p) A2(n) = n2(1-p) + 8np
(a) Determine the range of values for p when A1 executes fewer characteristic operations on average than A2? [Hint, set the inequality, isolate p, and analyze your result]
(b) Determine the range of values for p when A1 executes fewer characteristic operations on average than A2 given that n = 100.
(c) Determine the range of values for p when A1 executes fewer characteristic operations on average than A2 given that n is a very large number.
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