110. Balanced Binary Tree

2018/04/30 leetcode 共 830 字,约 3 分钟

Title

the problem link

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.

判断是否是一个平衡二叉树

Solution

//cpp:
/**
 * 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:
    int depth(TreeNode* t){
        if(!t)
            return 0;
        
        return max(depth(t->left),depth(t->right))+1;
    }
    
    bool isBalanced(TreeNode* root) {
        if(!root)
            return true;
        else{
            int l=depth(root->left);
            int r=depth(root->right);
            return abs(l-r)<=1&&isBalanced(root->left)&&isBalanced(root->right);
        }
    }
};

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