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Union-Find, also known as Disjoint Set Union (DSU), is a data structure designed to efficiently handle connectivity queries and union operations betwean elements. Its primary use is to determine if two elements belong to the same connected component or set. Core Operations Union (Join): Merges the s...

Problem Description You are given a directed acyclic graph (DAG) with n nodes and m edges. The nodes are numbered from 1 to n. Each node i has an associated weight w_i. For any path in the graph, you can obtain a sequence of node weights based on the order of traversal. The goal is to find the maxim...