Given the root of a binary search tree, return a balanced binary search tree with the same node values. If there is more than one answer, return any of them.
A binary search tree is balanced if the depth of the two subtrees of every node never differs by more than 1.
Example 1:
Input: root = [1,null,2,null,3,null,4,null,null] Output: [2,1,3,null,null,null,4] Explanation: This is not the only correct answer, [3,1,4,null,2] is also correct.
Example 2:
Input: root = [2,1,3] Output: [2,1,3]
Constraints:
[1, 104].1 <= Node.val <= 105/**
* 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;
* }
* }
*/
class Solution {
public TreeNode balanceBST(TreeNode root) {
List<Integer> inOrder = new ArrayList<>();
inOrderTraversal(root, inOrder);
return generateBST(inOrder, 0, inOrder.size() - 1);
}
private void inOrderTraversal(TreeNode root, List<Integer> inOrder) {
if (root == null)
return;
inOrderTraversal(root.left, inOrder);
inOrder.add(root.val);
inOrderTraversal(root.right, inOrder);
}
private TreeNode generateBST(List<Integer> inOrder, int lt, int rt) {
if (lt > rt)
return null;
int mid = (lt + rt) / 2;
TreeNode ltSubTree = generateBST(inOrder, lt, mid - 1);
TreeNode rtSubTree = generateBST(inOrder, mid + 1, rt);
TreeNode node = new TreeNode(inOrder.get(mid), ltSubTree, rtSubTree);
return node;
}
}