给定一个二叉树,判断它是否是高度平衡的二叉树。

    本题中,一棵高度平衡二叉树定义为:

    一个二叉树每个节点 的左右两个子树的高度差的绝对值不超过 1 。

    示例 1:

    输入:root = [3,9,20,null,null,15,7]
    输出:true
    示例 2:

    输入:root = [1,2,2,3,3,null,null,4,4]
    输出:false
    示例 3:

    输入:root = []
    输出:true

    提示:

    树中的节点数在范围 [0, 5000] 内
    -104 <= Node.val <= 104


    1. /**
    2. * Definition for a binary tree node.
    3. * public class TreeNode {
    4. * int val;
    5. * TreeNode left;
    6. * TreeNode right;
    7. * TreeNode() {}
    8. * TreeNode(int val) { this.val = val; }
    9. * TreeNode(int val, TreeNode left, TreeNode right) {
    10. * this.val = val;
    11. * this.left = left;
    12. * this.right = right;
    13. * }
    14. * }
    15. */
    16. class Solution {
    17. public boolean isBalanced(TreeNode root) {
    18. if (root == null) return true;
    19. return dfs(root) != -1;
    20. }
    21. private int dfs(TreeNode root) {
    22. if (root == null) return 0;
    23. int left = dfs(root.left);
    24. if (left == -1) return -1;
    25. int right = dfs(root.right);
    26. if (right == -1) return -1;
    27. return Math.abs(right - left) < 2 ? Math.max(right, left) + 1 : -1;
    28. }
    29. }