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?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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 AB.)

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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