100-days-of-rust/Week-02/Day-10_Unique-Binary-Search-Trees
2023-03-23 20:52:21 -04:00
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Unique Binary Search Trees

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

Examples

Input: 3
Output: 5
Explanation:
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

Constraints

  • 1 <= n <= 19

Notes

  • N/A