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(Hint: use induction on the sequence of operations, check the proof of Lemma (1) in the notes, not the number of elements, of a disjoint set) Prove that every node has rank at most l g n ..

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(Hint: use induction on the sequence of operations, check the proof of Lemma (1) in the notes, not the number of elements, of a disjoint set) Prove that every node has rank at most l g n .

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