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 dp[] = new int[n+1];
dp[0] = 1;
for(int i = 1; i<=n; i++){
for(int j = 0 ; j< i; j++){
dp[i] += dp[j]*dp[i-j-1];
}
}
return dp[n];
}
}
网友评论