Question: Given an n-node complete binary tree T, rooted at a given position, consider a directed graph G having the nodes of T as its vertices.

Given an n-node complete binary tree T, rooted at a given position, consider a directed graph G having the nodes of T as its vertices. For each parent-child pair in T, create a directed edge in G from the parent to the child. Show that the transitive closure of G has O(nlogn) edges.

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