Consider an implementation of unsorted singly linked list. Suppose it has its representation with a head pointer only. Given the representation, which of the following operation can be implemented in O(1) time?i) Insertion at the front of the linked listii) Insertion at the end of the linked listiii) Deletion of the front node of the linked listiv) Deletion of the last node of the linked listOptionsI, II and IVI and III and IIII, II and III
Question
Consider an implementation of unsorted singly linked list. Suppose it has its representation with a head pointer only. Given the representation, which of the following operation can be implemented in O(1) time?i) Insertion at the front of the linked listii) Insertion at the end of the linked listiii) Deletion of the front node of the linked listiv) Deletion of the last node of the linked listOptionsI, II and IVI and III and IIII, II and III
Solution
The operations that can be implemented in O(1) time in an unsorted singly linked list with a head pointer only are:
i) Insertion at the front of the linked list: This operation involves changing a few pointers and can be done in constant time.
iii) Deletion of the front node of the linked list: Similar to insertion at the front, this operation can also be done in constant time.
The operations that cannot be implemented in O(1) time are:
ii) Insertion at the end of the linked list: This operation requires traversing the entire list to find the last node, which takes O(n) time where n is the number of elements in the list.
iv) Deletion of the last node of the linked list: Similar to insertion at the end, this operation also requires traversing the entire list and hence cannot be done in constant time.
So, the correct option is I and III.
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