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Suppose that an algorithm A runs in worst-case time f(n) and that algorithm B runs in worst-case time g(n). For each of the following questions,...
Suppose that an algorithm A runs in worst-case time f(n) and that algorithm B runs in worst-case
time g(n). For each of the following questions, answer either yes, no, or can't tell, and explain
why. (20 points)
a. Is A faster than B if, for all n greater than some N 0 , g(n) = (f(n)log n)?
b. Is A faster than B if, for all n greater than some N 0 , g(n) = O(f(n)log n)?
c. Is A faster than B if, for all n greater than some N 0 , g(n) = Θ(f(n)log n)?
d. Is B faster than A if, for all n greater than some N 0 , g(n) = (f(n)log n)?
e. Is B faster than A if, for all n greater than some N 0 , g(n) = O(f(n)log n)?
f. Is B faster than A if, for all n greater than some N 0 , g(n) = Θ(f(n)log n)?
