Which of the following operations takes O(1) time complexity on a doubly linked list?Deleting the first nodeDeleting the last nodeInserting a node after given nodeAll of the above
Question
Which of the following operations takes O(1) time complexity on a doubly linked list?Deleting the first nodeDeleting the last nodeInserting a node after given nodeAll of the above
Solution
All of the above
Explanation:
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Deleting the first node: This operation involves changing the head of the list to the next node and deleting the current head. This operation is done in constant time, hence the time complexity is O(1).
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Deleting the last node: In a doubly linked list, we have a pointer to the last node. So, we can easily access the last node and its previous node. We just need to update the 'next' pointer of the node before the last node to NULL and delete the last node. This operation is also done in constant time, hence the time complexity is O(1).
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Inserting a node after a given node: This operation involves changing a few pointers around the given node and the new node. This operation is also done in constant time, hence the time complexity is O(1).
Therefore, all of the above operations have a time complexity of O(1).
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