Question

In: Computer Science

Redo Exercise 21.2-2 using a disjoint-set forest with union by rank and path compression.

Redo Exercise 21.2-2 using a disjoint-set forest with union by rank and path compression.

Solutions

Expert Solution

==> after (x1 U x5) is called, FIND-SET(x1) and FIND-SET(x5) are called first

==> Result o f (x1 U x5)

==> After (x11 U x13) called, FIND-SET(x11) and FIND-SET(x13) is called first

==> Result of (x11 U x13)

==> Similarly the result of (x1 U x10)

==> After calling FIND-SET(x2), the result is as follows and it returns x16

==> After calling FIND-SET(x9), the result is as follows and it returns x16

Therefore

FIND-SET(x1) and FIND-SET(x9) both returns the set representative, that is x16


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