'Maximum enclosing disk

Let A and B be two sets of points, each consisting of n points, all lying in unit square S. I am trying to find a efficient algorithm for finding the largest disk D such that:

(i) The center of D lie in S.

(ii) The interior of D is empty.

(iii) The boundary of D touches atleast one point from A and one point from B.

Im having a real problem with this question. Any hints will be usefull.



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