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?
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
Problem 1PE
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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 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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