LeetCode 110. Balanced Binary Tree平衡二叉树 (C++)

题目：

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.

分析：

给定一个二叉树，判断它是否是高度平衡的二叉树。

一棵高度平衡二叉树定义为：一个二叉树每个节点的左右两个子树的高度差的绝对值不超过1。

递归求解每个节点的左右两个子树的高度差的绝对值是否超过1即可，树的高度也是递归求解，返回左右子树最大值。

程序：

/**
 * 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 == nullptr) return true;
        return abs(height(root->left, 0)-height(root->right, 0)) <= 1 && isBalanced(root->left) && isBalanced(root->right);
    }
    int height(TreeNode* root, int h) {
        if(root == nullptr) return h;
        return max(height(root->left, h+1), height(root->right, h+1));
    }
};