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[Union Find] [Graph] [Minimum Spanning Tree]

Hints

Hint 1 Find the minimum spanning tree of the given graph.
Hint 2 Root the tree in an arbitrary node and calculate the maximum weight of the edge from each node to the chosen root.
Hint 3 To answer a query, find the lca between the two nodes, and find the maximum weight from each of the query nodes to their lca and compare it to the given limit.