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Solution: Find Minimum Diameter After Merging Two Trees

Understand how to use breadth-first search to find the diameter of two trees and compute the minimal diameter after merging them by connecting their central nodes. This lesson guides you through building adjacency lists, performing BFS to identify farthest nodes, and applying a formula to optimize the combined tree diameter.

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. ...