Medium
Given an integer n
, return all the structurally unique BST’s (binary search trees), which has exactly n
nodes of unique values from 1
to n
. Return the answer in any order.
Example 1:
Input: n = 3
Output: [[1,null,2,null,3],[1,null,3,2],[2,1,3],[3,1,null,null,2],[3,2,null,1]]
Example 2:
Input: n = 1
Output: [[1]]
Constraints:
1 <= n <= 8
import com_github_leetcode.TreeNode;
import java.util.ArrayList;
import java.util.List;
/*
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
public class Solution {
public List<TreeNode> generateTrees(int n) {
List<TreeNode> result = new ArrayList<>();
result.add(new TreeNode(1));
for (int i = 2; i <= n; i++) {
List<TreeNode> nresult = new ArrayList<>();
for (TreeNode r : result) {
TreeNode node = new TreeNode(i, r, null);
nresult.add(node);
TreeNode previous = r;
while (previous != null) {
node = new TreeNode(i);
TreeNode cr = copy(r);
insert(cr, node, previous);
previous = node.left;
nresult.add(cr);
}
}
result = nresult;
}
return result;
}
private void insert(TreeNode dest, TreeNode n, TreeNode from) {
if (dest.val == from.val) {
TreeNode h = dest.right;
dest.right = n;
n.left = h;
return;
}
insert(dest.right, n, from);
}
private TreeNode copy(TreeNode n) {
if (n == null) {
return null;
}
return new TreeNode(n.val, copy(n.left), copy(n.right));
}
}