Problem $1.$ Disjoint Sets $($IN JAVA$)$

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.