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1) Show the result of the following sequence of instructions: union(1,2), union(3,4), union(3,5), union(1,7), union(3,6), union(8,9), union(1,8), union(3,10), union (3,11), union(3,12), union(3,13), union(14,15), union(16,0), union(14,16), union (1,3), union(1, 14) when the unions are: a. performed arbitrarily.
b. performed by height.
c. performed by size.
2) For each of the trees in the previous exercise, perform a find with path compression on the deepest node.

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