Given n, how many structurally unique BST's (binary search trees) that store values 1...n?java
For example,
Given n = 3, there are a total of 5 unique BST's.spa
1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3
public class Solution { public int numTrees(int n) { if(n == 0 || n == 1)return 1; int[] f = new int[n+1]; f[0] = f[1] = 1; for(int i = 2; i < n + 1; ++i){ for(int j = 1; j <= i; ++j){ f[i] += f[i - j] * f[j - 1]; } } return f[n]; } }