Show that any sequence of m MAKE-SET, FIND-SET, and LINK operations, where all the LINK operations appear

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Show that any sequence of m MAKE-SET, FIND-SET, and LINK operations, where all the LINK operations appear before any of the FIND-SET operations, takes only O(m) time if we use both path compression and union by rank. What happens in the same situation if we use only the path-compression heuristic?

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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