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)
Doubt : What is decrease key? Decreasing the value?
and answer to the question.