Question: 4 Counting Binary Trees (30 pts) How many binary tree shapes of n nodes are there with height n-1? Prove your answer. Hint: use induction.

4 Counting Binary Trees (30 pts) How many binary tree shapes

4 Counting Binary Trees (30 pts) How many binary tree shapes of n nodes are there with height n-1? Prove your answer. Hint: use induction. To make a good guess, try drawing all possible trees for heights 0, 1, 2,... and identify the pattern

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