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Given n, how many structurally unique BST's (binary search trees) that store values 1...n?

For example,

Given n = 3, there are a total of 5 unique BST's.

1 3 3 2 1
    \ / / / \ \
     3 2 1 1 3 2
    / / \ \
   2 1 2 3

Show Tags Tree Dynamic Programming