Balanced Binary Tree
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 left and right subtrees of every node differ in height by no 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.
class Solution {
public int height(TreeNode root) {
if (root == null)
return 0;
int leftHeight = height(root.left);
if (leftHeight == -1)
return -1;
int rightHeight = height(root.right);
if (rightHeight == -1)
return -1;
if (Math.abs(leftHeight - rightHeight) > 1)
return -1;
return Math.max(leftHeight, rightHeight) + 1;
}
public boolean isBalanced(TreeNode root) {
return height(root) == -1 ? false : true;
}
}
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