Question: Given an interval tree T and an interval i, describe how to list all intervals in T that overlap i in O(min(n, k lg n))

Given an interval tree T and an interval i, describe how to list all intervals in T that overlap i in O(min(n, k lg n)) time, where k is the number of intervals in the output list. One simple method makes several queries, modifying the tree between queries. A slightly more complicated method does not modify the tree.

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Introduction to Algorithms 3rd edition by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest