Question: Design a data structure to support the following two operations for a dynamic multiset S of integers, which allows duplicate values: INSERT (S, x) inserts

Design a data structure to support the following two operations for a dynamic multiset S of integers, which allows duplicate values:

INSERT (S, x) inserts x into S.

DELETE-LARGER-HALF(S) deletes the largest ⌈|S|/2⌉ elements from S.

Explain how to implement this data structure so that any sequence of m INSERT and DELETE-LARGER-HALF operations runs in O(m) time. Your implementation should also include a way to output the elements of S in O(|S|) time.

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