Question: Let T be a (possibly improper) binary tree with n nodes, and let D be the sum of the depths of all the external nodes

Let T be a (possibly improper) binary tree with n nodes, and let D be the sum of the depths of all the external nodes of T. Show that if T has the minimum number of external nodes possible, then D is O(n) and if T has the maximum number of external nodes possible, then D is O(nlogn).

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