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Problem 3: Almost a priority queue. Design a data structure that supports the following operations for almost a priority queue: (i) FindSecondSmallest () which returns the second smallest item in the data structure. (ii) Insert(x) which inserts item x to the data structure. (iii) DeleteSecond Smallest() which removes the second smallest item from the data structure. Your data structure should implement the operation FindSecondSmallest () in O(1), and the other two operations in O(logn), where n is the number of elements in the data structure.
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Transcribed Image Text:Problem 3: Almost a priority queue. Design a data structure that supports the following operations for almost a priority queue: (i) FindSecondSmallest () which returns the second smallest item in the data structure. (ii) Insert(x) which inserts item x to the data structure. (iii) DeleteSecond Smallest() which removes the second smallest item from the data structure. Your data structure should implement the operation FindSecondSmallest () in O(1), and the other two operations in O(logn), where n is the number of elements in the data structure.
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