Solution: Diameter of Binary Tree
Explore how to compute the diameter of a binary tree, defined as the longest path between any two nodes. Learn to implement an efficient depth-first search approach that traverses the tree to calculate heights and update the maximum diameter, improving on a naive method's complexity. Understand how to handle paths passing through the root and those confined to subtrees, gaining insight into recursive solutions and complexity analysis.
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 .