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 lower numbered root point to the higher numbered one. union(1, 2); union(3, 4); union(5, 6); union(7, 8); union(1, 4); union(6, 7); union(4, 5); find(1)

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