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  • Home

    Maximum Depth of Binary Tree

    Published Sep 19, 2019 [  Tree  ]

    The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.

    Example

        3
       / \
      9  20
        /  \
       15   7
    

    return its depth = 3

    Thoughts

    1. The depth of a node is the maximum depth of its left depth and right depth plus one.
    2. Empty node has zero depth.

    Code

    /**
     * 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 maxDepth(TreeNode* root) {
            return depth(root);
        }
        int depth(TreeNode* node){
            if(node == nullptr) {
                return 0;
            }
            auto leftDepth = depth(node->left);
            auto rightDepth = depth(node->right);
            return max(leftDepth, rightDepth) + 1;
        }
    };
    

    References: https://leetcode-cn.com/problems/maximum-depth-of-binary-tree/