Describe how to use a B-tree to implement the partition (union-find) ADT (from Section XXXXXXXXXXso that the union and find operations each use at most O (log n /log B ) disk transfers.   Suppose we...

Describe how to use a B-tree to implement the partition (union-find) ADT

(from Section 14.7.3) so that the union and find operations each use at

most
O(logn/logB) disk transfers.

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 externalmemory

algorithm for finding all the red-blue pairs in
S. Howmany disk

transfers does your algorithm perform?