Design an implementation of a data structure s that supports


Design an implementation of a data structure S that supports the following operations:

Insert(S, x): insert the key x into S only if it is not already there.
Delete(S, x): delete the key x from S (if it is there).
FindSmallest(S, k): ?nd the k-th smallest key in S.

All these operations should take O(log n) time in the worst case, where n is the number of elements in S. 

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Basic Computer Science: Design an implementation of a data structure s that supports
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