Describe a binary search tree on n nodes such that the average depth of a node in the tree is (lg n) but the height of the tree is (lg n) Give an asymptotic upper bound on the height of an n node binary search tree in which the average depth of a node is (lg n)

Question: Describe a binary search tree on n nodes such that the average depth of a node in the tree is (lg n) but the height

Describe a binary search tree on n nodes such that the average depth of a node in the tree is Θ(lg n) but the height of the tree is ω(lg n). Give an asymptotic upper bound on the height of an n-node binary search tree in which the average depth of a node is Θ(lg n).

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