Let's look at the road that connects intersections 2 and 3. Since they're in separate neighborhoods, it's time for another merge!

Step 1: Yet Another Merge with Union(2, 3)

We're now bringing the neighborhoods of 2 and 3 together. Keep in mind that 2 already represents the large neighborhood {0, 1, 2}.

New Update on the Investigation Board

Step 2: What Does the Parent Array Say Now?

By replacing the value under 2 with 3, we signify that 3 is the new head of this even larger neighborhood, representing the union set {0, 1, 2, 3}. It's as if 3 is the new community leader, bringing together various smaller communities into one.

Step 3: The Next Piece of the Puzzle - Edge (1, 4)

We've come a long way, but our investigation isn't over. Our next clue is the road connecting intersections 1 and 4.

1Find(1) = 3  # Intersection 1 is part of the neighborhood led by 3.
2Find(4) = 4  # Intersection 4 is its own neighborhood for now.

Will 4 become part of this sprawling neighborhood, or does it belong to another? Is the mystery of the loop about to be solved, or are we still in the clear?