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Question: draw a rooted balanced 3ary tree of height four with...

Question details

Draw a (rooted) balanced 3-ary tree of height four, with two vertices on level 1, four
vertices on level 2, seven vertices on level 3, exactly four vertices with a single child, and
nine leaves.

Notes: I have a solution to this question (there are many solutions), but I was wondering if there is a more elegant way to approach this question than other trial and error.

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