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];
}
}