Question

Select the O-notation for the index(item) method for the Ordered Linked List (where n is the size of the Linked List

A. O(1)
B. O(log n)
C. O(n)
D. O(n log n)
E. O(n²)

Answer 1

The index(item) method for an Ordered Linked List has a linear time complexity of O(n) due to the need to potentially traverse the entire list to find the item.

Step-by-step explanation:

The question asks to select the correct O-notation for the index(item) method for an Ordered Linked List, where n is the size of the Linked List. The correct answer would be C. O(n). Since an Ordered Linked List does not allow for indexing in the same way an array does, finding an item by its value typically requires traversing the list from the start until the item is found or the end of the list is reached. This would result in a linear time complexity because, in the worst-case scenario, you would need to check every element once, hence the O(n) notation.

This means that the time complexity of the method is linear, which indicates that the time taken to find the specified item in the linked list increases linearly with the size of the list. It indicates that the number of operations required to search for the item is directly proportional to the number of items in the list.