Given a binary tree, determine if it is height-balanced.
For this problem, a height-balanced binary tree is defined as:
a binary tree in which the depth of the two subtrees of every node never differ by more than 1.
Example 1:
Given the following tree [3,9,20,null,null,15,7]:
3
/ \
9 20
/ \
15 7
Return true.
Example 2:
Given the following tree [1,2,2,3,3,null,null,4,4]:
1
/ \
2 2
/ \
3 3
/ \
4 4
Return false.
time o(n), space o(h), height of the tree
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
class Type{
int height;
int diff;
boolean flag;
public Type(int h, int d,boolean f){
this.height = h;
this.diff = d;
this.flag = f;
}
}
class Solution {
public boolean isBalanced(TreeNode root) {
if(root == null) return true;
Type res = help(root);
return res.flag;
}
public Type help(TreeNode root){
if(root == null) return new Type(0,0,true);
Type left = help(root.left);
Type right = help(root.right);
int diff = Math.abs(left.height - right.height);
boolean flag = false;
if(diff <= 1 && left.flag == true && right.flag == true) flag = true;
int height = Math.max(left.height, right.height) + 1;
return new Type(height,diff,flag);
}
}