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1. Write the code for the method that calculates the number of unique shapes for a binary search tree with n nodes. Use the formula
where bn is the number of possible shapes for a binary search tree with n nodes.
2. Write the code for the method that approximates the number of unique shapes for a binary search tree with n nodes. Use the formula
bn = 4n /n1.5√π
where is the number of possible shapes for a binary search tree with n nodes.
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