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)