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GATE | GATE-CS-2016 (Set 2) | Question 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(N Log N)
(D)
Θ(N2 Log N)
Answer
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