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Give the state of the disjoint-sets data structure after the following sequence of operations, starting from singleton sets {1},...,{8}. Use path compression. In case of ties, always make the higher numbered root point to the lower numbered one. union(1, 2), union(3, 4), union(5, 6), union(4, 8), union(1, 5), find(3), union(2, 3), find(6)

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