Perform the following operations for a Union-Find data structure: (When there's a tie for a union operation use alphabetical order on the roots so A→B.) MakeSet(A), MakeSet(B), MakeSet(C), MakeSet(D), MakeSet(E), MakeSet(F), MakeSet(G), MakeSet(H), MakeSet(I) Union(B,I) Union(D,G) Union(A,F) Union(C,H) Union(C,A) Union(A,G) Union(B,D)     a ) What is the rank(I) at the conclusion of these operations? b ) What is π(H) at the conclusion of these operations? c) What does a Find(B) return at the conclusion of these operations?

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