ALGORITHM ENGINEERING HOMEWORK Let g(n) = n. Is it true that g(n) 2 O(n2)? Why or...
ALGORITHM ENGINEERING HOMEWORK
Let g(n) = n. Is it true that g(n) 2 O(n2)? Why or why not?
Homework Answers
f(n) = O(g(n)) means there are positive constants c and n0, such that 0 ≤ f(n) ≤ cg(n) for all n ≥ n0 g(n) = O(n^2) n = O(n^2) => n <= c*n^2 Let's assume c = 1 => n <= c*n^2 => n <= n^2 => 0 <= n so, g(n) = O(n^2) given c = 1 and n0 = 0
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ALGORITHM ENGINEERING HOMEWORK
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