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.
思路:
比较二叉树左右子树的最大深度,大于1则返回false。
int maxDep(TreeNode *root){
if (!root) return 0;
return max(maxDep(root->left), maxDep(root->right)) + 1;
}
bool isBalanced(TreeNode* root) {
if (!root) return true;
if (abs(maxDep(root->left) - maxDep(root->right)) > 1)
return false;
return isBalanced(root->left) && isBalanced(root->right);
}
纪念贴图: