Question: Using Exercise 21.4-2, give a simple proof that operations on a disjoint-set forest with union by rank but without path compression run in O(m lg

Using Exercise 21.4-2, give a simple proof that operations on a disjoint-set forest with union by rank but without path compression run in O(m lg n) time.

Exercise 21.4-2

Prove that every node has rank at most ⌊lg n⌋.

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