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Codeforces (c) Copyright 2010-2024 Mike Mirzayanov
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Editorial is at https://codeforces.me/blog/entry/106675 — Understanding it will give clues to how to solve with DSU.
A hint for DSU: Consider the strategy of building the graph. Do we have to build the whole graph to find the solution? No, and in fact we cannot — that would take O(n^2) time and be too slow. What could we build instead of the graph?