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 depth of the two subtrees of every node never differ by more than 1.
Given binary tree A = {3,9,20,#,#,15,7}, B = {3,#,20,15,7}
A) 3 B) 3
/ \ \
9 20 20
/ \ / \
15 7 15 7
The binary tree A is a height-balanced binary tree, but B is not.
/**
* Definition of TreeNode:
* public class TreeNode {
* public int val;
* public TreeNode left, right;
* public TreeNode(int val) {
* this.val = val;
* this.left = this.right = null;
* }
* }
*/
public class Solution {
/**
* @param root: The root of binary tree.
* @return: True if this Binary tree is Balanced, or false.
*/
public boolean isBalanced(TreeNode root) {
if (root == null) return true;
if (Math.abs(height(root.left) - height(root.right)) > ) return false;
return isBalanced(root.left) && isBalanced(root.right);
} public int height(TreeNode root) {
if (root == null) return ;
return Math.max(height(root.left), height(root.right)) + ;
}
}
public class Solution {
public boolean isBalanced(TreeNode root) {
if (root == null) return true;
return helper(root) != -;
}
public int helper(TreeNode root) {
if (root == null) return ;
int leftHeight = helper(root.left);
int rightHeight = helper(root.right);
if (leftHeight == - || rightHeight == -) return -;
if (Math.abs(leftHeight - rightHeight) > ) return -;
return Math.max(helper(root.left), helper(root.right)) + ;
}
}
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