# CS代写：Algorithms COMP3600代写，92%高分案例

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## COMP3600算法代写案例

Question 1

Question 2

Let f(n), g(n) and h(n) be three positive functions. For each of the following state-ments, either prove that the statement is true or show that the statement is false, byproviding a counter-example for f(n), g(n), and h(n).

(a) f(n) = O(g(n)) and g(n) = o(h(n)) together imply that f(n) = O(h(n))

(b) f(n) = Ω(g(n)) and g(n) = O(h(n)) together imply that f(n) = Θ(h(n))

(c) f(n)< g(n),∀n≥5 implies af(n)=o(ag(n)) (a > 0).

Question 3

Give an asymptotic upper bound on T(n) for each of the following recurrences, usingthe O( ) notation. In each case, explain your reasoning clearly. Note that you are notallowed to use the Master theorem.

(a) T(n) = T(⌈n/4⌉) + nlog n

(b) T(n) = 2T(3n/4) + n2

(c) (Honours & COMP6466 only) T(n) = 3T(n/12) + T(⌊n/9⌋) + n

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