Question: 5. Design an efficient data structure using (modified) red-black trees that supports the following operations: Insert(x): insert the key x into the data structure if

5. Design an efficient data structure using (modified) red-black trees that supports the following operations:

Insert(x): insert the key x into the data structure if it is not already there.

Delete(x): delete the key x from the data structure if it is there.

Find Smallest(k): find the kth smallest key in the data structure.

What are the time complexities of these operations?

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