Question: Give an algorithm for computing the depths of all the nodes of a tree T, where n is the number of nodes of T. a)

Give an algorithm for computing the depths of all the nodes of a tree T, where n is the number of nodes of T.

a) What is the complexity of your algorithm in terms of Big-O?

b) What is the best possible complexity that you believe can be achieved when solving such problem? Explain why.

c) If your algorithm does not achieve this best complexity, can you design a better algorithm to achieve such complexity! If so, give this algorithm as a second solution.

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