Solution: Diameter of Binary Tree
Explore how to compute the diameter of a binary tree—the longest path between any two nodes—using an optimized depth-first search approach. Understand the role of subtree heights, consider both paths passing through or excluding the root, and apply recursive strategies to solve this problem efficiently with O(n) time complexity.
Statement
Given a binary tree, you need to compute the length of the tree’s diameter. 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.
Note: The length of the path between two nodes is represented by the number of edges between them.
Constraints:
- The number of nodes in the tree is in the range .