Question: 2. ADT, 30 pts] Consider the following abstract data type that supports 1. insert(int k): Insert a key k into the data structure only if

2. ADT, 30 pts] Consider the following abstract data type that

2. ADT, 30 pts] Consider the following abstract data type that supports 1. insert(int k): Insert a key k into the data structure only if it is not 2. serach.next(int k):Find the smallest key in the data structure that is 3. search smallest (int k): Find the kth smallest key in the data structure. the tollowing operations already in the ADT greater than k For example search smallest (0) will return the smallest key in the ADT. All operations are operations are done in O(log(n)) where n is the number of keys in the data structure Implement the above ADT in java. Which data structure we saw in class is most appropriate to implement this ADT? You are allowed to use any java code you have been provided. You can assume the keys are of type int. 2. ADT, 30 pts] Consider the following abstract data type that supports 1. insert(int k): Insert a key k into the data structure only if it is not 2. serach.next(int k):Find the smallest key in the data structure that is 3. search smallest (int k): Find the kth smallest key in the data structure. the tollowing operations already in the ADT greater than k For example search smallest (0) will return the smallest key in the ADT. All operations are operations are done in O(log(n)) where n is the number of keys in the data structure Implement the above ADT in java. Which data structure we saw in class is most appropriate to implement this ADT? You are allowed to use any java code you have been provided. You can assume the keys are of type int

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