Question

What is the time complexity of adding to the middle of an array based list in the worst case in terms of Big O notation? Assume the size of array is n.

A. O(n^2)
B. O(n log n)
C. 0(1)
D. O(n)
E. O(log n)

Answer 1

The time complexity of adding to the middle of an array-based list in the worst case is O(n), where n represents the size of the array. This is because shifting all the elements after the insertion point takes O(n).

Step-by-step explanation:

The time complexity of adding to the middle of an array-based list in the worst case is O(n), where n represents the size of the array. This means that the time it takes to add an element to the middle of the list grows linearly with the size of the array.

To add an element to the middle of the list, you would need to shift all the elements after the insertion point by one position. This operation takes O(n) since it requires iterating through n elements and shifting them.

In contrast, adding to the beginning or end of an array-based list can be done in constant time (O(1)) since no shifting of elements is required.