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
public class Solution { public int numTrees(int n) { int[] C = new int[n+1]; C[0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i-1; j++) { C[i] += C[j]*C[i-1-j]; } } return C[n]; } }
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