We wish to augment red-black trees with an operation RB-ENUMERATE (x, a, b) that outputs all the

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We wish to augment red-black trees with an operation RB-ENUMERATE (x, a, b) that outputs all the keys k such that a ≤ k ≤ b in a red-black tree rooted at x. Describe how to implement RB-ENUMERATE in Θ(m + lg n) time, where m is the number of keys that are output and n is the number of internal nodes in the tree. You do not need to add new attributes to the red-black tree.

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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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