A dictionary ADT - I need the answer for this by tomorrow

I need an ADT that maintains a set of keys (that can be sorted - numbers for example) that implements inserting and deleting a key in O(1) time worst-case and finding a key in O(n*log(n)) time worst-case. Also, the amortized time complexity of all operations should be O(log(n)).
I need a description of the data structure (no code/pseudo-code) and proofs about the running time complexities...
Thank y'all!

I live near the east coast (50 miles) but evenif
a
lived on the east coast I could not see the
ocean,
just the North Sea.I live near the West coast of the Netherlands, but
some might say everything in the Neterlands is
coast... I too am not able to see the ocean
directly.So you see the same sea that I would see if I could
see the sea!Exactly!
And if I were the OP, I'd see to it to see the sea soon, because you'd see things much clearer afterwards, so that I wouldn't have to see off this assignment. See?

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