Draw a binary tree on 9 vertices that satisfies all of the following three constraints.  The binary tree consists of 4 internal nodes and 5 leaves. Every internal node has exactly 2 children. The root has 4 grandchildren. What is the sum of the depths of the 9 vertices? That is, each vertex has a depth. Add up the depths of 9 vertices and give the the result as your answer. If e.g. the depths were (1,5,6,4,9,4,2,8,3), the answer would 42, since 1+5+6+4+9+4+2+8+3 = 42.

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