110. Balanced Binary Tree #

Problem #

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.

Summary #

Determine whether a tree is a balanced binary tree. The definition of a balanced binary tree is: every node in the tree satisfies the condition that the height difference between its left and right subtrees is <= 1.

Solution Approach #

Just judge according to the definition. Calculating the height of a tree is Problem 104.

Code #

package leetcode

/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func isBalanced(root *TreeNode) bool {
	if root == nil {
		return true
	}
	leftHight := depth(root.Left)
	rightHight := depth(root.Right)
	return abs(leftHight-rightHight) <= 1 && isBalanced(root.Left) && isBalanced(root.Right)
}

func depth(root *TreeNode) int {
	if root == nil {
		return 0
	}
	return max(depth(root.Left), depth(root.Right)) + 1
}