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Suppose T1(N)=O(f(N)) and T2(N)=O(f(N)). Which of the following are ALWAYS true (for all T1(N),f,T2(N)) ? Hint: think about big-O and big- . If false, explain
Suppose T1(N)=O(f(N)) and T2(N)=O(f(N)). Which of the following are ALWAYS true (for all T1(N),f,T2(N)) ? Hint: think about big-O and big- . If false, explain why it is false by giving counterexample. a). T1(N)+T2(N)=O(f(N)) b.) T1(N)T2(N)=(f(N)) c.) T2(N)T1(N)=O(1) d.) T1(N)=O(T2(N))
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