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Consider the three methods below on a Sorted List collection; that is, a collec tion in...

Consider the three methods below on a Sorted List collection; that is, a collec tion in which elements are stored according to the defined natural order of the underlying data type.

public void add (Comparable element) public Comparable remove(Comparable element) public boolean contains (Comparable element)

Suppose we implemented this collection using a chain of linked nodes for the physical storage of the elements. Based on the ideas and techniques we have discussed to this point in class, which of the worst-case time complexity profiles below characterize the most efficient implementation strategy that you could guarantee?

A. add O(1), remove O(N), contains O(N)

B. add O(N), remove O(N), contains O(N)

C. add O(1), remove O(1), contains (1)

D. add O(N), remove O(1), contains (log N)

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Answer #1

add an element to sorted linked list takes O(N) time complexity

remove an element to sorted linked list takes O(N) time complexity

contains an element to sorted linked list takes O(N) time complexity

B. add O(N), remove O(N), contains O(N)

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