Search⌘ K
AI Features

Solution: Find Minimum Diameter After Merging Two Trees

Explore how to find the minimum diameter of a combined tree formed by connecting two separate trees. This lesson guides you through using breadth-first search twice on each tree to find their diameters and applying a key formula to determine the smallest possible diameter after merging. You will understand optimal connection strategies and learn to implement a time- and space-efficient BFS-based solution.

Statement

You are given two undirected trees: one with nn nodes labeled from 00 to n1n - 1, and another with mm nodes labeled from 00 to m1m - 1. Their structures are defined by two 2D2D integer arrays—edges1 of length n1n - 1 for the first tree, and edges2 of length m1m - 1 for the second. Each element edges1[i] = [aᵢ, bᵢ] represents an edge between nodes aaᵢ and bbᵢ in the first tree, and similarly, edges2[i] = [uᵢ, vᵢ] represents an edge in the second tree.

Your task is to connect any node from the first tree to any one node from the second tree using a single edge. ...