Question 9: Code the following problem statement using python: You are given a tree that is built in a following way: initially there is single vertex 1. All the other vertices are added one by one, from vertex 2 to vertex N, by connecting it to one of those that have been added before. You are to find the diameter of the tree after adding each vertex. Let the distance between vertex u and v be the minimal number of edges you have to pass to get from u to v, then diameter is the maximum distance between any two pairs (u,v) that have already been added to the tree. Input: 2 Output: 1 2

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