Diameter of Binary Tree

Tags : dfs, tree, binary-tree, leetcode, cpp, easy

Given the root of a binary tree, return the length of the diameter of the tree.

The diameter of a binary tree is the length of the longest path between any two nodes in a tree. This path may or may not pass through the root.

The length of a path between two nodes is represented by the number of edges between them.

Examples #

Example 1:

Input: root = [1,2,3,4,5]
Output: 3
Explanation: 3 is the length of the path [4,2,1,3] or [5,2,1,3].

Example 2:

Input: root = [1,2]
Output: 1

Constraints #

Solutions #

/**
 * 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 {
public:
    int d;
    
    int findHeight(TreeNode* node){
        if(!node) return 0;
        
        int left = findHeight(node->left);
        int right = findHeight(node->right);
        
        d = max(d,left+right);
        
        return max(left, right)+1;
    }
    
    int diameterOfBinaryTree(TreeNode* root) {
        d = 0;
        findHeight(root);
        return d;
    }
};