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If we were given a specific number like 15, what approach can we use to determine the Maximum number of levels that can be present in a binary tree ?

  • Do you mean that if you are given a positive integer $n$, you want to know how to determine the largest positive integer exponent $\alpha$ such that $2^\alpha \leq n~$ ? – user2661923 May 30 '22 at 15:48
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    One good approach is to work out lots of examples. What are the trees with the most levels you can construct with $n$ nodes, for values of $n$ up to, say, 10? – Ethan Bolker May 30 '22 at 15:52

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