Description

Given a binary tree, determine if it is

height-balanced

.

Example 1:

Input: root = [3,9,20,null,null,15,7] Output: true

Example 2:

Input: root = [1,2,2,3,3,null,null,4,4] Output: false

Example 3:

Input: root = [] Output: true

Constraints:

  • The number of nodes in the tree is in the range [0, 5000].
  • -104 <= Node.val <= 104

Code

Recursion + Hashmap

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
    unordered_map<TreeNode*, int> mp;
public:
    bool isBalanced(TreeNode* root) {
        if(!root) return true;
        int l = getHeight(root->left);
        int r = getHeight(root->right);
        return abs(l - r) <= 1 && isBalanced(root->left) && isBalanced(root->right);
    }
 
    int getHeight(TreeNode* node) {
        if(!node) return 0;
        if(mp.find(node) != mp.end()) return mp[node];
        int l = getHeight(node->left);
        int h = getHeight(node->right);
        return mp[node] = (max(l, h) + 1);
    }
 
};

Source