[LeetCode 解题报告]110. 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.

考察：求二叉树的深度，平衡二叉树定义； 

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    bool isBalanced(TreeNode* root) {
        if (root == NULL)
            return true;
        
        if (abs(getDepth(root->left) - getDepth(root->right)) > 1)
            return false;
        return isBalanced(root->left) & isBalanced(root->right);
    }
    
    int getDepth(TreeNode* root) {
        if (root == NULL)
            return 0;
        return max(getDepth(root->left), getDepth(root->right)) + 1;
    }
};