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Determine wether the statements are true or false 1. Suppose we have f(n) = nlgn ,...

Determine wether the statements are true or false

1. Suppose we have f(n) = nlgn , g(n) = 5n , then f(n) = O(g(n)).

2. Suppose we have f(n) = nn/4 , g(n) = n1/2lg4n , then f(n) = O(g(n)).

3. No comparison-based sorting algorithm can do better than Ω(n log n) in the worst-case

4. Quicksort running time does not depend on random shuffling.

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