Please try to explain how this problem is solved. I have gotten an answer, however I am not sure if it is correct.

3. (20 pts 5+5+5+5) This problem is related to disjoint set operations. Assume that we are using union by rank and find with path compression. Suppose that you are given a disjoint set structure described by the following array representation (a) Suppose that you are starting with 16 disjoint sets obtained by FOR i-1 to 16 DO make-set (i) There are multiple disjoint sets to the one listed in the above. Find one such sequence, and list the last two union operations in your sequence change these 16