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1. Describe how to use a B-tree to implement the Partition ADT (Section 14.7.3) so that the union…

1. Describe how to use a B-tree to implement the Partition ADT (Section 14.7.3) so that the union…

1. Describe how to use a B-tree to implement the Partition ADT (Section 14.7.3) so that the union and find operations each use at most O(logn/log B) disk transfers.2. Suppose we are given a sequence S of n elements with integer keys such that some elements in S are colored “blue” and some elements in S are colored “red.” In addition, say that a red element e pairs with a blue element f if they have the same key value. Describe an efficient external-memory algorithm for finding all the red-blue pairs in S. How many disk transfers does your algorithm perform?