Question: Given the following Disjoint Sets Array representation : index 1 2 3 4 5 6 7 8 9 10 11 12 parent 1 2 9

Given the following Disjoint Sets Array representation :

index

1

2

3

4

5

6

7

8

9

10

11

12

parent

1

2

9

12

11

10

1

2

9

12

9

2

Representing the elements 1 . . 12 after some Union-Find operations have already been performed on them:

a. Draw the tree structure for sets.

b. Redraw the tree structure after each of the following operations:

Find (6)

Find (5)

Union (6, 5)

c. Redraw the resulting array representation.

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