Question: Design a data structure to support the following two operations for a dynamic multiset S of integers, which allows duplicate values: I NSERT.S; x/ inserts

Design a data structure to support the following two operations for a dynamic multiset S of integers, which allows duplicate values: I NSERT.S; x/ inserts x into S. DELETE-LARGER-HALF .S / deletes the largest djSj =2e elements from S. Explain how to implement this data structure so that any sequence of m I NSERT 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.jSj/ time.

Design a data structure to support the following two operations for a

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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