Gate CS-2016-2 Question Paper With Solutions

Q. 25 N items are stored in a sorted doubly linked list. For a delete operation, a pointer is provided to the record to be deleted. For a decrease-key operation, a pointer is provided to the record on which the operation is to be performed. An algorithm performs the following operations on the list in this order:
Θ(N) delete, O(log N) insert, O(log N) find, and Θ(N) decrease-key

What is the time complexity of all these operations put together

(A) O(Log2N)

(B) O(N)

(C) O(N2)

(D) Θ(N2 Log N)

Answer: (C)

Explanation:

Gate CS-2016-2 Question Paper With Solutions

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