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.

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:

  • The number of nodes in the tree is in the range [1, 104].
  • -100 <= Node.val <= 100

Approach - DFS

class Solution {
    int diameter = 0;
    public int diameterOfBinaryTree(TreeNode root) {
        dfs(root);
        return diameter;
    }
 
    public int dfs(TreeNode root) {
        if (root == null)
            return 0;
 
        int left = dfs(root.left);
        int right = dfs(root.right);
        diameter = Math.max(diameter, left + right);
        return 1 + Math.max(left, right);    
    }
}